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8,262,240,227,211,195,181,173,161,154,146,139,134,130,125,122,117,113,110,107,103,100,98,94,92,90,88,87,84,82,82,81,77,77,75,75,74,72,70,70,69,68,68,67,65,65,64,63,63,63,64,63,64,64,65,66,68,69,70,70,70,72,74,75,76,77,78,80,83,83,84,87,88,91,93,93,97,100,101,106,110,112,117,122,125,130,135,137,143,150,156,167,183,191,204,218,237,252,271,293,312,346,389,407,444,486,561,623,664,684,691,690,687,677,665,654,645,640,637,641,647,652,660,671,679,691,707,719,735,752,765,783,806,820,837,859,876,897,917,930,937,942,944,943,942,943,943,943,942,943,944,945,946,949,950,952,955,957,959,963,966,971,978,990,1023,1052,1074,882,969,994,1016,1033,1033,1035,1033,1021,1011,4500,950,4500,4500,961,965,971,965,968,969,970,969,967,967,965,962,963,963,965,967,4500,4500,4500,976,986,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,949,954,4500,4500,977,971,964,960,956,954,953,951,951,952,953,956,958,962,965,970,972,977,983,4500,962,4500,963,976,999,1009,1029,1042,1055,1053,1056,1064,1080,1080,1056,1024,1001,987,976,969,963,958,954,950,946,945,945,941,941,940,938,939,941,940,941,940,942,943,945,940,936,923,906,891,872,850,834,818,799,785,767,750,736,722,705,693,680,663,652,642,639,643,648,653,658,666,677,688,698,708,714,707,666,613,469,399,357,328,300,280,256,244,229,211,198,187,173,164,155,147,141,137,133,128,124,119,117,112,109,106,103,100,98,94,93,92,89,86,86,85,82,81,79,78,77,76,73,73,72,71,71,70,68,67,67,66,66,66,67,67,67,67,68,69,72,72,73,74,74,76,79,79,80,82,83,85,87,88,89,93,94,95,99,100,103,108,109,113,118,120,124,131,133,139,145,148,155,165,171,183,198,205,223,239,256,273,297,317,343,379,424,444,471,535,599,655,688,700,704,702,698,688,677,664,651,642,640,644,653,657,666,676,684,695,711,722,738,754,770,788,808,823,839,859,873,894,912,924,931,934,935,934,933,933,932,932,931,932,933,933,934,936,939,941,943,946,948,952,954,959,967,980,1012,1049,4500,1092,1085,1079,1058,4500,1011,4500,973,983,989,990,991,988,983,979,975,968,964,961,957,952,949,946,943,940,937,937,935,935,935,4500,4500,4500,4500,945,945,4500,4500,4500,4500,4500,4500,4500,4500,2269,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,918,912,913,916,915,914,915,918,920,922,926,927,932,937,943,947,953,959,964,970,976,983,989,997,1002,4500,4500,4500,1035,1046,1054,1069,1076,1044,1031,1002,985,972,961,953,948,943,940,937,935,933,929,927,926,926,925,927,927,929,928,930,931,933,935,931,928,919,902,887,869,850,833,820,804,787,771,754,742,727,711,699,687,674,665,651,645,648,652,658,663,671,682,693,705,715,724,728,710,675,590,472,407,358,332,306,280,263,252,231,217,205,190,180,171,160,155,148,142,139,134,129,125,122,117,114,111,106,105,102,99,98,96,93,91,90,88,87,84,82,82,81,79,78,77,75,75,75,72,72,71,70,70,70,71,71,72,73,74,75,77,77,78,79,80,83,84,85,85,89,90,92,94,95,98,100,101,104,108,109,111,117,118,123,128,130,136,143,145,152,161,163,172,184,190,202,220,226,244,270,281,305,327,351,379,415,447,472,516,589,654,692,710,717,715,710,704,695,682,670,655,648,646,651,658,664,673,682,691,703,717,727,743,760,772,789,807,820,836,856,870,888,903,912,919,923,924,923,923,921,920,920,919,919,920,920,922,924,926,928,930,931,931,936,940,944,950,962,991,1023,1034,1062,4500,1013,1022,1022,1019,1017,1009,1002,994,985,971,967,961,955,949,943,937,933,927,924,919,913,910,907,903,902,898,894,893,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,1998,1979,1908,1916,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,863,4500,867,867,868,870,872,876,878,885,890,894,900,907,914,919,924,930,939,946,953,961,969,977,987,982,1000,1013,1023,1030,4500,1039,1047,1038,1015,986,967,956,948,941,937,931,928,924,922,920,918,916,916,915,913,913,914,916,917,917,920,921,922,919,917,909,895,882,868,849,836,820,805,790,776,759,747,734,718,706,695,683,673,664,653,650,655,660,663,671,686,696,708,721,731,739,738,721,664,595,521,407,371,343,314,296,279,256,243,229,214,201,191,178,174,166,156,153,148,142,138,134,128,126,121,117,115,112,108,107,104,102,101,97,95,95,93,89,89,87,86,85,83,81,81,80,79,78,77,75,75,75,78,77,78,79,81,83,83,84,85,87,89,90,91,92,94,98,98,100,104,105,107,111,112,115,119,121,124,130,131,136,143,145,151,160,162,170,179,183,193,206,213,229,245,256,275,300,318,338,367,401,421,453,484,522,584,651,695,720,729,732,726,718,710,697,680,669,655,653,654,659,667,672,680,689,698,709,724,735,748,763,776,791,809,822,837,854,866,880,894,900,906,909,909,908,907,904,905,905,904,905,905,905,905,907,908,910,912,913,914,918,921,926,933,941,970,1006,4500,1043,1037,1029,1027,1023,1016,1005,994,984,973,963,955,945,936,928,920,911,904,899,892,886,880,873,867,863,858,852,846,840,4500,827,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,2076,1955,1728,1723,1737,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,1061,803,812,811,813,815,821,827,832,840,848,856,863,872,880,889,897,905,915,924,931,941,951,961,971,983,994,995,1006,1037,1044,1054,1033,1002,971,950,937,926,920,915,912,908,905,904,902,901,899,898,897,897,898,898,898,899,900,901,902,904,901,897,893,883,872,861,845,834,821,806,793,779,766,753,741,726,715,703,692,684,677,667,658,659,662,667,674,686,700,712,726,738,750,756,752,705,647,601,502,430,395,357,335,316,290,270,258,239,228,216,203,196,187,179,173,166,160,155,149,144,140,137,130,129,125,120,119,117,111,111,109,104,104,102,99,98,96,94,94,92,89,88,88,87,86,84,81,81,82,84,84,85,87,89,90,91,91,93,97,97,98,101,103,105,107,108,112,114,116,119,123,124,128,132,133,138,143,147,152,161,163,170,180,183,192,202,208,218,232,241,255,277,286,307,339,359,381,414,443,463,488,541,585,645,697,729,743,745,744,735,725,715,700,685,669,661,661,663,669,676,682,690,700,708,719,732,743,755,768,778,794,810,819,833,848,859,871,881,886,890,894,894,894,892,891,889,889,887,887,887,888,889,891,893,894,896,896,898,900,904,907,914,922,952,992,1020,1023,1025,1023,1014,1002,993,982,968,959,950,939,929,919,906,897,887,877,868,861,851,841,833,824,816,808,800,792,784,785,4500,796,846,1014,4500,4500,4500,4500,4500,4500,2013,2004,2007,1780,1601,1186,1102,1243,1514,1669,1797,4500,4500,4500,4500,1640,1159,1168,1023,923,850,798,772,763,763,768,774,782,792,801,809,821,831,840,852,862,871,883,893,903,916,928,937,949,961,973,971,992,1009,1025,1030,1021,988,954,932,918,909,902,897,893,891,889,887,885,885,883,883,884,882,882,882,882,883,887,887,888,889,888,887,881,872,865,854,842,832,822,807,795,780,767,756,746,733,724,712,702,695,686,678,668,664,665,668,677,688,700,714,727,739,753,765,769,744,698,657,610,542,471,405,378,357,326,305,289,268,259,242,229,220,212,202,195,188,179,174,168,161,157,152,145,143,139,135,132,128,124,123,120,117,116,112,110,109,106,103,103,102,99,97,96,95,94,93,90,90,89,92,92,94,96,98,99,100,102,104,106,107,109,112,113,115,120,121,123,129,130,133,139,140,143,149,151,155,163,167,172,182,185,194,205,210,217,229,236,246,265,272,289,314,324,348,376,405,427,457,479,503,545,600,649,702,740,758,761,757,751,741,728,716,700,686,675,670,670,672,679,686,692,700,711,718,727,739,748,762,774,783,796,810,819,833,844,851,861,868,874,878,880,881,880,879,877,875,875,873,873,872,874,874,873,873,874,876,875,878,880,883,885,891,902,938,977,1003,1014,1012,1004,993,981,968,955,943,930,921,906,895,883,871,860,846,833,824,812,800,791,778,765,754,742,731,736,719,721,729,809,837,896,1013,1245,1477,1658,1699,1762,1771,1751,1662,1440,1060,646,553,578,631,720,905,1065,1114,1142,1130,1054,990,878,788,715,681,666,664,666,676,685,697,706,720,734,746,760,772,786,798,811,824,836,850,863,878,892,904,920,934,949,962,976,992,997,1002,995,962,932,909,894,884,877,873,870,868,868,866,866,865,865,864,864,864,865,866,868,870,871,873,876,877,874,874,868,860,855,847,837,829,821,809,798,784,772,764,753,740,732,724,714,707,698,690,683,677,673,674,680,691,703,716,731,743,757,773,781,776,750,716,673,620,578,495,440,410,377,349,334,306,292,277,261,252,241,231,224,215,205,200,192,185,180,175,167,164,158,153,150,147,142,139,137,131,130,128,123,122,120,116,115,113,111,110,108,105,104,103,100,99,99,103,102,105,108,108,110,113,115,116,119,121,124,126,128,131,135,137,141,145,148,151,157,159,162,170,172,177,186,191,196,207,212,220,233,238,246,261,267,280,298,308,326,354,369,398,425,455,470,493,525,559,602,664,712,750,770,777,773,765,755,743,728,718,703,689,682,681,682,685,690,697,703,710,717,727,734,747,755,766,777,786,798,811,819,829,838,845,853,859,864,865,865,866,866,864,862,861,860,859,858,857,857,856,857,856,857,857,855,855,858,860,861,871,884,919,956,980,990,980,977,970,958,945,927,912,900,885,870,857,841,826,811,799,785,772,758,743,732,717,703,687,680,663,651,635,620,626,614,602,606,584,592,582,565,599,591,536,485,458,426,409,374,373,369,367,371,383,396,409,426,462,474,487,510,518,551,554,561,572,586,595,611,626,637,651,669,683,698,713,728,751,765,778,794,810,820,836,853,867,883,898,916,934,941,960,979,983,976,950,919,894,877,863,856,852,849,846,845,845,846,847,847,848,848,850,852,854,855,855,856,858,859,860,858,857,854,851,847,842,833,826,819,810,800,788,777,768,759,749,740,733,724,716,709,703,694,688,682,681,685,693,705,717,731,745,759,774,789,795,787,767,728,679,638,591,536,481,426,400,375,346,329,313,295,286,274,262,253,245,233,226,219,209,203,198,190,185,180,173,168,165,160,158,154,149,147,144,140,137,134,131,130,127,123,123,121,117,116,115,112,111,109,115,116,118,120,121,124,128,129,131,136,138,139,143,146,148,154,156,159,166,169,174,180,184,187,196,199,203,213,220,226,238,243,253,267,274,282,297,304,318,339,352,368,399,418,442,463,486,509,544,583,620,675,724,762,786,793,792,784,774,763,748,731,719,704,695,691,691,693,697,702,708,714,722,729,736,743,753,761,772,782,789,800,811,817,824,832,837,842,845,847,848,850,850,848,848,847,846,843,843,842,839,838,837,835,834,832,831,831,831,833,835,840,854,872,901,938,960,969,965,954,943,928,912,896,877,857,841,823,810,795,776,760,742,725,710,695,675,662,646,631,617,601,587,574,561,546,533,519,506,493,476,458,443,423,409,394,378,359,346,339,337,318,316,327,336,345,363,373,384,400,416,426,440,450,458,467,481,490,500,513,523,539,553,566,580,596,610,628,647,661,679,697,71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