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94,1140,25,148,140,140,140,134,134,134,134,119,1,47,940,949,966,995,1006,1031,1076,1122,1157,36,1,17,1,1,1,49,285,346,907,964,905,903,897,910,878,870,855,848,843,835,834,835,828,828,810,802,795,791,788,778,775,772,762,757,752,759,762,772,776,780,787,790,795,799,1098,961,827,829,836,839,845,851,865,870,894,887,928,905,940,922,660,459,529,222,14,1,1,1,1,1120,1104,1063,1025,1003,984,962,946,929,916,909,896,1,134,134,134,134,134,1,1,1,1,796,784,756,729,717,705,700,692,682,675,672,668,665,663,658,655,649,640,641,643,645,644,644,644,645,646,647,650,650,656,660,663,665,666,672,688,705,719,730,741,751,761,765,768,771,776,777,776,779,787,790,790,799,809,825,831,846,857,882,917,930,953,984,1043,788,404,379,704,4501,3101,3080,3030,2552,2394,2441,1108,1474,1345,648,628,636,635,634,616,611,599,594,593,585,585,584,582,578,572,567,564,563,556,555,556,558,551,521,494,496,529,551,560,557,557,562,566,566,573,576,583,585,586,587,590,594,592,601,615,618,636,634,633,639,986,1199,1777,1852,2160,2535,2907,3137,2950,4501,1,1,4501,621,517,1002,971,951,929,919,891,860,845,833,826,813,804,791,788,785,783,776,774,774,772,769,765,760,752,742,730,718,711,691,675,667,666,664,661,658,652,650,648,646,645,645,644,644,644,644,643,644,648,654,657,661,665,669,673,675,680,687,698,700,710,724,744,781,798,813,1,1,1,122,132,133,133,132,1,1,898,907,925,941,961,982,997,1035,1065,1102,1141,61,47,21,1,1,4501,644,591,523,685,943,934,894,891,891,863,866,858,844,838,832,829,829,941,969,910,796,788,783,779,772,770,764,755,747,744,751,755,762,766,770,779,783,786,793,1469,1093,819,823,833,837,846,849,863,889,905,929,907,941,954,907,657,625,480,851,59,4501,1,1,1,77,1098,1062,1023,997,976,959,942,916,905,899,892,883,1,129,130,130,127,1,843,831,814,790,774,745,724,713,703,699,694,685,678,676,671,668,664,659,656,651,646,644,644,645,645,644,644,645,646,647,649,650,656,661,663,665,666,671,685,703,712,724,740,750,759,764,771,774,773,773,776,782,783,786,790,803,812,823,826,842,858,880,915,930,955,983,1048,919,457,452,884,4501,2208,2465,2677,3076,3358,2551,2070,2034,1408,661,645,631,630,635,620,611,598,597,594,594,586,587,585,582,578,571,566,566,559,558,561,561,550,522,499,499,531,553,565,562,559,565,569,569,575,579,587,590,591,596,592,595,598,612,620,628,632,645,638,642,760,2014,2034,2049,2284,2761,3016,3167,3083,4501,4501,1716,1294,4501,541,1022,974,953,932,918,888,864,842,831,825,815,808,795,789,781,782,780,774,773,775,772,765,760,751,742,727,714,707,689,673,668,665,662,660,657,652,649,647,646,644,643,643,644,645,644,644,645,649,654,656,661,666,670,675,678,685,692,702,704,710,720,743,775,786,808,829,837,848,1,1,1,17,880,882,887,893,905,922,937,958,985,1000,1027,1061,1106,1145,4,5,5,1,4501,355,382,325,604,844,940,940,921,897,880,881,852,846,844,834,829,823,820,835,912,813,786,779,773,770,764,761,757,748,741,737,741,745,752,756,761,767,772,775,780,1495,1711,810,813,820,827,837,850,847,874,873,899,888,906,931,969,851,698,670,519,53,16,1,1,1,1140,1113,1060,1027,1006,985,953,933,915,905,897,877,873,872,868,862,858,850,840,836,826,809,790,777,748,724,712,704,701,695,688,681,676,671,667,662,657,654,650,647,646,645,645,645,644,643,643,645,647,649,651,657,659,661,663,665,671,681,702,711,720,737,748,759,763,771,774,775,775,781,781,784,789,794,806,817,824,830,844,863,885,913,933,960,990,1057,880,445,190,542,4501,4501,4501,4229,3822,3884,3535,2295,2047,2018,1984,650,646,645,635,631,613,605,600,598,597,593,590,591,588,584,576,571,570,565,564,565,567,554,524,503,503,536,561,572,567,566,571,574,577,580,586,592,593,595,600,600,599,612,620,622,641,650,640,651,662,1837,2030,2055,2073,2471,3038,3466,3333,2662,4501,4501,2207,1,51,16,1059,986,961,935,916,894,874,850,835,829,816,810,799,795,788,781,782,779,776,773,770,763,759,748,736,723,712,706,689,675,667,663,662,658,658,652,649,646,645,644,643,644,645,645,645,645,646,649,654,656,659,663,668,674,676,683,690,699,702,710,721,745,777,787,800,817,830,837,847,856,861,864,864,865,877,889,901,915,933,958,993,1009,1037,1072,1136,1193,1,1,1,1,4501,60,367,441,790,943,932,888,912,903,866,864,855,847,833,822,814,808,805,925,1143,784,770,767,761,758,751,750,744,740,734,727,732,736,743,745,747,756,758,766,767,925,911,802,805,811,818,827,843,849,853,971,882,998,910,928,973,771,637,539,821,368,23,1,1,1,1,1,1081,1038,1004,982,959,935,910,896,889,877,868,857,853,854,850,844,836,829,816,802,785,774,754,727,713,701,698,690,683,676,673,667,663,659,655,654,650,647,645,644,646,644,644,643,643,644,647,649,650,657,659,660,663,665,671,684,701,709,719,730,743,758,761,769,773,777,780,782,782,790,797,799,809,815,827,834,854,872,894,919,936,969,999,1068,875,437,193,195,4501,4501,4501,3869,3532,3631,2897,2178,2061,2038,1778,1499,644,640,648,630,627,620,603,597,597,602,599,596,594,589,582,577,579,571,570,572,575,561,531,508,511,544,567,577,573,575,576,582,586,587,594,599,602,602,603,607,613,617,617,636,641,648,655,655,1895,2022,2043,2070,2084,2246,2685,3070,4501,2406,4501,4501,973,500,221,293,1051,999,973,944,927,908,880,859,844,832,818,809,805,800,796,787,781,782,780,774,770,765,762,744,731,720,711,705,691,678,668,664,661,658,656,651,649,647,645,644,644,644,644,645,646,645,646,648,652,654,656,660,663,669,672,679,688,700,704,716,734,754,769,777,795,812,827,835,839,840,843,849,853,860,866,880,895,916,935,953,983,1008,1055,1088,1167,1,9,1,4501,1,1,10,130,687,723,920,900,913,874,865,859,849,833,829,819,811,802,794,792,1289,1807,804,760,752,749,744,737,734,730,726,723,714,721,722,728,731,734,743,745,751,755,990,1057,784,787,796,804,813,826,826,850,849,864,904,877,902,947,966,700,732,902,814,776,69,2,1,1187,1133,1078,1046,1004,976,948,924,909,898,889,867,851,848,845,841,835,833,832,827,815,796,777,770,757,738,725,710,703,695,684,676,671,665,662,658,655,653,650,647,646,646,646,645,644,644,644,645,647,650,651,656,658,659,663,664,674,687,699,706,715,724,737,758,765,771,776,780,780,783,789,798,802,804,807,819,833,841,861,875,898,931,955,987,1017,1091,717,352,142,51,653,4501,4501,4501,3220,3446,2833,2138,1896,2039,2043,1412,665,661,651,649,630,626,618,614,607,607,606,605,600,595,590,586,584,581,575,578,582,564,536,516,529,549,573,585,581,583,583,590,592,597,601,607,611,612,614,612,616,622,636,642,659,657,659,675,866,2032,2062,2086,2092,2364,4501,4501,4501,4501,4501,1017,753,375,152,499,1078,1013,986,963,945,907,880,864,849,840,823,812,805,807,803,796,788,783,782,780,774,766,756,740,725,715,707,701,690,678,666,663,659,658,657,653,650,648,645,644,644,645,645,646,647,647,647,649,653,655,658,663,667,673,676,685,696,712,715,725,736,753,768,776,793,811,820,823,825,830,836,840,843,850,868,885,895,906,919,946,977,997,1045,1076,1136,1,3,1,1,4501,74,307,379,504,768,879,885,876,872,982,844,943,827,815,806,797,788,781,1296,1004,1142,750,745,740,736,731,725,722,717,715,711,700,707,711,715,716,720,728,733,737,739,747,1878,817,773,780,789,798,811,821,860,1240,864,1491,1328,907,922,732,793,724,685,546,379,12,1,1,1,1,1049,1020,979,967,946,924,900,891,885,874,858,843,834,830,827,822,816,814,811,798,779,767,751,740,729,717,712,706,692,681,677,669,666,661,657,654,650,648,647,648,647,645,644,644,644,644,645,649,651,655,657,658,662,664,673,686,698,702,710,718,735,751,759,770,779,783,785,788,796,803,805,804,810,824,836,843,860,878,899,929,956,986,1011,1074,899,470,209,79,4501,4501,2244,2215,4501,3246,3054,2575,2068,2071,2056,715,675,675,661,658,650,629,622,616,619,616,611,614,610,604,600,596,592,590,587,585,588,577,547,527,533,568,587,590,590,592,595,600,606,609,612,617,616,616,618,627,645,644,650,658,672,674,682,697,707,2064,2080,2102,2131,2159,3014,4501,4501,2268,4501,4501,1,4501,144,928,1036,1000,974,941,922,904,874,854,842,837,824,813,802,803,801,798,793,787,784,780,770,760,753,736,719,711,704,700,690,678,665,661,658,656,655,653,650,647,645,644,644,645,645,646,649,647,649,649,653,655,661,666,671,678,681,691,702,711,713,722,736,749,771,779,794,806,813,814,820,822,827,841,847,858,867,876,885,907,924,953,978,993,1030,1077,1149,1,1,1,1,1,1,8,682,4501,4501,886,1044,1197,865,843,910,817,811,804,792,783,773,767,762,1092,800,735,731,727,722,717,712,709,705,703,695,686,695,698,702,705,711,714,717,723,726,733,747,1075,759,766,776,783,795,802,818,828,831,2012,1450,1515,1006,739,969,1,4501,1,17,1,4501,1,1,1,1075,1042,1004,983,950,931,905,892,882,866,855,849,842,836,825,816,812,813,808,793,783,774,755,739,724,713,710,706,696,684,677,671,667,662,656,653,650,649,649,648,647,645,644,644,644,645,646,650,651,655,656,657,660,663,673,688,698,703,708,717,730,750,757,767,776,782,786,792,801,803,802,802,810,822,836,840,853,868,894,919,933,971,997,1038,1078,683,309,127,44,4501,2280,4501,2718,4501,2964,2603,2119,2087,2074,1104,695,677,680,673,653,654,645,641,625,625,623,620,619,614,609,604,601,598,595,590,595,584,560,541,542,576,594,597,597,599,605,608,613,616,622,627,628,630,636,635,640,656,655,671,676,685,692,2015,2063,2085,2099,2119,2202,3009,4501,2255,4501,4501,1,184,64,73,20,1013,1010,982,948,928,913,887,865,854,839,832,821,812,805,803,803,802,793,788,785,779,769,757,746,729,718,708,701,698,690,678,664,661,657,655,654,652,649,646,644,644,644,644,644,646,648,648,649,650,652,656,660,667,669,676,679,692,705,713,715,723,743,757,776,781,793,804,807,810,818,831,838,841,843,849,864,885,898,919,932,959,1000,1018,1053,1104,134,1,1,1,1,1,4501,707,639,4501,983,1013,1431,1513,842,828,821,803,793,787,777,766,759,884,902,747,727,720,719,711,707,701,698,694,693,690,684,676,682,683,686,688,692,698,704,708,712,716,1078,765,1271,748,757,768,780,786,799,806,816,834,1620,872,931,1018,1287,696,623,488,458,312,11,20,1,1,1,843,1028,1008,969,944,916,904,894,874,854,840,836,834,830,821,812,807,803,797,784,774,760,742,726,720,716,709,693,682,675,669,666,661,655,653,651,650,650,649,646,644,643,644,643,644,646,649,651,654,655,655,660,662,673,687,693,696,702,714,725,738,746,761,777,783,787,793,797,801,805,806,810,819,825,830,847,862,878,900,916,952,978,1008,1029,1082,415,189,78,28,4501,4501,4501,2249,4501,2515,2154,2106,2091,2075,1239,705,686,687,672,655,653,638,643,635,631,633,630,625,619,615,613,608,602,602,602,599,576,552,554,592,607,607,6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