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4,862,876,903,922,943,4501,4501,1,1,1,4193,4051,3939,4301,3750,2230,1955,1299,1639,1311,616,612,627,635,634,626,622,609,606,596,585,583,578,575,576,571,566,561,558,559,555,553,551,552,549,524,537,551,554,548,552,555,558,561,566,568,572,576,578,578,583,586,595,605,609,619,630,638,639,633,618,612,1406,1823,1017,2002,2072,2969,3524,4120,4041,4105,3734,1726,402,4501,4501,938,915,896,876,856,837,823,812,807,799,790,785,781,777,774,769,767,765,762,758,754,750,748,742,737,728,722,715,705,696,686,679,673,665,658,654,648,642,638,633,632,631,626,625,625,624,622,619,617,616,616,618,621,625,636,654,670,689,701,713,723,712,687,624,495,361,327,317,295,284,273,268,263,257,252,250,98,1,1,1,93,2025,1,193,186,184,184,185,183,178,171,174,179,184,188,195,196,1,2212,844,837,834,824,819,815,810,804,801,942,784,779,774,769,765,762,755,751,751,725,701,677,696,723,745,749,752,758,761,760,768,772,776,847,791,800,805,811,812,820,827,2029,1,1,41,193,194,190,181,176,170,168,169,176,185,200,202,200,184,1,1,19,227,1,1,1,823,820,822,818,815,809,802,795,786,778,770,761,750,741,722,718,713,707,683,669,653,635,628,623,621,620,620,622,626,627,627,627,629,630,634,636,637,644,648,652,656,664,671,677,681,691,700,709,720,723,732,740,746,748,753,755,759,763,764,766,769,774,775,781,784,789,796,802,809,822,836,847,867,891,906,926,990,4501,1,1,1,4501,3435,3796,4278,4188,2536,2047,1010,1669,1270,609,619,633,642,646,629,620,615,606,594,584,581,579,576,573,568,567,564,559,557,555,553,554,556,551,553,556,556,557,558,560,562,562,568,569,574,578,581,580,587,600,609,617,622,623,636,629,623,614,609,920,1261,1187,2029,2111,2863,3646,4190,4208,3977,3087,1184,96,4501,1013,924,904,883,862,846,831,817,806,798,794,788,781,778,774,772,768,765,762,761,758,755,752,746,745,738,732,721,716,708,699,690,681,676,668,661,655,651,646,641,637,634,633,631,629,628,628,628,626,624,623,623,624,629,640,646,661,680,692,711,718,719,719,723,725,742,759,782,790,794,801,809,815,818,826,832,829,822,833,972,884,911,909,963,1007,1038,159,187,175,164,181,180,172,175,182,189,191,190,191,203,217,1,814,817,811,806,800,796,837,1111,773,768,765,761,756,752,750,745,742,730,689,666,648,664,693,731,738,739,746,749,750,755,760,763,770,909,2006,1801,1575,1722,367,406,846,2097,1,1,196,201,202,195,187,188,179,75,42,23,26,117,1049,1005,959,926,892,835,830,850,851,842,829,822,812,810,792,760,735,715,698,716,715,728,732,732,727,721,716,702,688,673,656,648,636,630,626,626,627,630,630,629,629,630,631,634,635,636,641,646,650,653,658,667,672,675,688,695,705,716,718,727,735,743,745,750,754,758,760,762,764,766,771,770,775,778,781,788,791,797,806,818,827,843,862,883,902,914,963,4501,1,1,1,3667,3620,4067,4432,4484,2689,2050,2034,1985,1222,612,615,622,633,635,617,618,610,608,598,585,584,581,579,578,573,570,567,564,561,559,554,555,557,559,560,560,564,564,567,567,570,575,578,580,586,585,585,600,604,608,622,628,638,634,618,613,900,1877,2010,2046,2046,2059,2638,3515,4116,4262,4237,2886,1067,25,4501,942,900,888,868,848,834,823,811,803,794,786,783,780,775,772,770,768,765,762,760,759,755,753,748,743,740,733,726,716,711,704,692,684,675,668,662,656,650,647,643,639,636,633,632,632,631,631,631,632,634,633,632,633,641,648,659,667,680,698,712,726,732,739,749,765,772,778,785,792,793,792,763,729,692,671,645,649,640,688,1123,2149,2146,879,904,902,2219,2257,4501,4501,1,4501,4501,4501,4501,1098,902,904,4401,258,256,261,271,383,344,311,310,310,310,394,1696,756,757,751,750,744,741,738,735,731,721,693,643,627,610,627,652,696,708,714,699,708,715,721,715,709,679,707,920,376,311,311,311,296,285,293,326,796,1845,1911,846,1802,2139,3061,1,1,1,1,341,332,338,378,432,484,574,2120,1053,824,832,831,825,821,820,818,815,812,807,803,798,792,788,781,775,766,754,743,737,724,709,697,679,670,657,647,640,640,639,638,636,636,634,634,634,633,634,636,638,643,646,649,655,662,667,671,680,689,699,707,712,720,730,737,741,747,750,755,757,758,760,765,766,767,770,774,777,781,783,786,795,804,809,822,836,851,870,885,903,923,4501,1,1,1,4501,4114,4342,4501,4434,2531,2062,1722,2001,1923,620,606,623,635,635,630,623,605,598,593,590,589,589,586,584,578,575,571,569,567,562,558,561,563,563,565,567,568,571,577,583,586,585,589,590,587,591,604,617,628,632,635,634,621,617,672,1743,2006,2049,2055,2057,2434,3152,3789,3744,3692,2595,902,1,4501,950,899,881,869,851,832,822,809,802,795,789,783,781,776,774,770,768,766,763,760,757,757,754,750,743,739,735,729,722,711,703,696,686,679,668,664,657,652,648,644,641,639,636,634,634,633,633,636,636,639,642,645,646,649,655,666,682,690,703,714,729,741,749,758,769,781,786,790,795,800,805,808,811,815,817,820,819,823,826,838,857,893,899,917,934,963,1000,1042,1084,1086,4501,4501,1,4501,1,1,1,1,304,350,390,334,328,328,309,303,300,306,327,538,516,457,437,454,592,719,709,702,707,707,687,659,619,604,581,595,613,651,669,706,696,660,633,496,480,450,416,391,382,410,481,506,612,657,696,761,774,810,824,835,840,857,866,876,1797,4501,4501,4501,2333,2212,1850,1053,927,913,909,902,894,867,853,838,830,826,825,823,819,815,809,807,801,799,796,788,786,779,768,755,750,736,722,712,697,690,676,666,659,655,652,646,643,640,637,636,635,635,635,636,638,641,644,647,651,658,662,664,675,683,692,703,705,714,726,732,737,744,747,752,756,757,759,763,765,766,770,772,776,779,781,786,791,799,803,814,827,839,854,865,887,905,934,4501,1,1,1,4501,3556,3912,4340,4379,3670,2130,2055,2019,1712,751,626,637,641,640,630,622,613,604,597,590,591,590,586,587,580,577,573,571,572,570,567,568,572,576,578,580,583,587,589,591,593,593,591,601,606,617,627,641,649,648,644,626,1343,1948,2018,2051,2061,2584,3086,3727,4234,4228,4223,3286,1292,148,1452,958,911,888,867,856,840,825,816,806,801,793,788,783,780,776,772,769,767,765,763,760,756,754,750,747,738,733,729,721,713,703,697,689,679,671,664,660,652,649,643,641,639,637,635,634,635,635,636,640,642,645,650,657,663,667,675,686,700,708,716,730,742,755,762,769,779,788,792,797,801,804,810,812,816,820,825,827,834,843,855,873,880,891,902,913,921,927,951,990,1032,1060,4501,4501,2040,2182,1716,1127,846,835,826,810,793,781,779,761,743,718,1764,2081,716,641,611,586,515,499,503,546,614,665,690,667,643,621,586,574,563,575,593,620,632,668,687,686,687,704,714,717,720,723,726,733,1267,1254,783,767,775,784,791,797,810,821,828,838,856,878,1524,1723,4501,4501,4501,1133,1124,1049,962,942,932,910,890,877,871,859,850,838,833,827,823,820,815,811,807,805,800,795,791,785,777,768,763,750,737,726,714,705,693,682,672,666,661,653,649,642,641,638,636,634,635,635,636,638,641,642,648,652,656,659,669,675,685,694,697,706,718,726,731,738,742,748,754,755,759,761,765,768,771,773,776,781,783,786,793,798,804,812,822,835,850,860,880,897,924,943,4501,1,1,4501,2527,3002,3629,4181,4399,3910,2213,2059,2017,1966,788,636,640,646,645,631,627,621,611,599,594,596,595,593,591,585,582,580,576,575,570,577,579,583,586,587,591,597,598,601,600,600,610,615,617,628,639,647,645,643,629,1810,2034,2043,2068,2077,2341,2920,3558,4108,4111,4501,3090,1180,79,4501,948,928,908,882,862,851,836,824,814,807,800,795,790,784,782,778,774,770,767,766,762,757,754,751,747,741,733,726,722,714,705,694,688,679,672,663,656,653,649,643,640,638,636,635,634,635,635,637,641,644,645,650,656,665,673,679,689,702,715,722,730,743,754,766,771,778,786,792,796,801,805,810,814,817,823,827,832,835,842,852,862,873,882,896,912,936,965,994,1038,1048,4501,4501,4501,4501,1126,872,857,843,833,822,813,801,790,780,777,768,758,747,841,730,727,724,720,720,714,711,706,704,705,693,668,628,612,592,562,550,540,551,567,592,601,634,678,691,696,700,703,707,711,712,714,719,723,723,838,743,755,765,770,778,789,797,802,815,830,846,859,866,1871,4501,4501,4501,4501,1,810,980,959,930,911,891,884,871,860,850,842,838,831,828,821,817,813,809,805,800,799,792,783,775,771,759,748,737,726,718,704,694,683,678,668,659,652,648,646,643,639,637,636,634,635,637,638,640,643,648,650,653,662,668,676,686,690,699,710,720,723,732,738,745,750,753,757,762,766,767,772,774,777,781,785,788,793,800,804,811,821,830,842,854,869,886,909,923,951,4501,1,1,4501,4501,4048,4280,4501,4447,3493,2119,2071,2046,2028,2014,709,636,645,647,641,629,620,615,603,600,603,601,600,598,594,591,586,584,582,588,588,589,595,596,602,603,605,604,602,607,619,629,636,644,650,642,640,1524,2010,2030,2058,2081,2096,2179,3072,3862,4056,4171,4269,2576,886,1,1548,937,916,904,883,863,847,839,827,818,811,805,799,793,789,784,782,780,774,772,769,767,761,757,751,748,743,736,725,719,715,707,697,686,681,674,666,657,652,648,644,641,637,636,635,633,635,636,636,638,644,648,651,654,661,670,680,685,696,709,721,728,739,750,763,775,778,786,793,800,804,808,813,819,823,825,831,839,845,848,857,863,878,893,904,922,942,967,997,1032,720,4501,4501,4501,4501,2388,972,1426,851,826,813,801,796,785,773,765,761,751,736,726,718,717,715,711,707,704,702,696,695,694,685,669,638,598,584,570,544,534,521,531,544,567,575,605,644,660,672,684,684,691,695,695,699,703,707,707,709,717,733,746,752,761,769,777,785,796,806,817,965,845,1877,4501,4501,1,4501,4501,4501,1232,1043,974,950,930,919,904,886,871,862,855,848,841,834,829,825,818,813,806,804,796,791,781,777,766,754,744,733,726,712,702,690,685,674,665,656,651,649,643,641,637,635,635,633,634,634,635,637,641,645,646,655,660,667,678,680,688,700,711,717,724,731,740,747,751,754,760,765,767,772,775,779,782,786,788,792,797,800,807,813,819,828,835,846,858,877,890,906,930,961,1,1,1,4501,4099,4424,4501,4501,4416,2330,2088,2062,2037,2024,1099,650,655,655,641,639,633,622,611,607,610,609,608,605,602,598,595,595,594,599,603,607,609,610,612,614,612,614,625,637,642,646,664,659,656,1763,2030,2037,2060,2091,2102,2487,3355,3874,4193,4454,4501,892,1,1,898,915,901,878,871,856,841,829,825,817,809,805,801,796,792,788,784,783,778,774,771,768,765,760,753,746,744,735,729,717,708,705,695,686,678,672,665,656,650,645,642,637,635,632,632,631,632,634,635,636,640,646,651,654,658,667,675,687,691,706,718,732,737,746,757,770,779,784,790,796,807,809,816,821,828,835,840,848,858,867,872,882,900,916,940,955,978,1003,1045,804,425,4501,4501,1,1,4501,2361,1500,1009,846,802,787,778,772,761,753,744,738,728,707,702,701,700,697,693,689,687,684,677,680,676,655,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