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3,53,23,24,58,28,23,64,54,70,111,309,453,554,664,806,831,903,953,964,980,981,976,968,949,937,928,916,902,895,888,881,871,864,858,853,846,839,826,818,811,803,809,810,813,812,814,819,823,827,832,838,843,847,849,855,863,872,879,882,886,893,899,907,913,918,926,932,940,941,947,947,958,947,965,860,906,926,952,972,995,1007,1004,1000,1003,1005,997,992,984,976,966,955,939,925,915,904,891,878,865,854,843,829,818,802,788,783,779,776,772,765,758,753,750,746,742,738,733,727,721,713,710,702,696,691,678,677,678,687,698,705,712,717,720,722,726,732,741,749,754,759,766,773,779,784,792,800,807,814,824,834,848,858,871,883,894,903,917,932,945,958,970,978,973,972,1004,1025,1038,1016,1009,1005,1015,1009,1001,978,970,976,974,969,962,957,953,951,946,943,940,933,923,915,910,905,899,893,886,876,870,866,860,854,849,841,835,825,819,818,816,812,808,811,820,825,827,834,843,850,856,861,870,882,890,898,908,919,934,945,952,963,4500,1008,1003,1031,998,945,952,793,734,583,309,179,85,32,21,27,23,29,36,24,37,50,75,97,28,27,35,42,0,0,0,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,2056,2055,2050,2046,2000,1849,1627,1384,966,679,644,645,647,653,655,718,875,1284,1590,1781,1900,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,25,0,0,0,31,30,23,43,25,24,47,27,78,77,29,52,29,0,103,330,450,691,804,885,943,965,974,977,974,960,943,932,925,913,901,889,882,875,865,858,852,848,843,837,826,819,813,806,808,811,812,810,813,817,821,825,829,835,841,846,852,855,861,867,872,878,885,893,902,908,918,922,929,957,949,950,952,957,973,975,972,980,972,982,992,985,993,1014,1027,1033,1041,1026,999,1000,997,991,982,969,955,941,930,919,904,894,882,871,858,847,836,826,816,805,799,795,787,774,763,757,756,755,753,750,747,740,734,724,710,702,707,705,704,704,699,680,673,677,665,659,665,682,697,711,725,738,750,761,773,782,788,795,802,812,823,832,842,852,865,877,890,905,918,929,942,957,972,985,998,1010,1009,1012,1024,1004,1000,992,1009,991,994,999,1013,995,4500,978,965,951,944,953,955,952,947,941,937,934,924,919,909,902,893,886,877,871,867,861,855,850,844,837,831,821,816,816,813,809,808,815,819,823,827,833,842,847,850,855,865,876,884,892,903,917,933,965,964,972,1012,1014,981,985,989,954,906,789,647,361,231,131,26,72,13,25,45,29,23,53,27,24,89,29,24,39,29,2,4500,4500,0,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,2870,2512,2293,2156,2086,2043,1471,757,625,816,949,1385,1645,1793,1881,1951,2273,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,0,0,0,102,17,152,29,183,28,22,23,20,4500,51,24,55,49,79,243,367,612,692,825,916,954,979,984,982,976,967,953,936,931,922,907,895,885,877,870,862,854,849,846,842,837,828,818,810,806,807,810,812,810,813,817,820,823,828,833,838,843,849,852,855,860,866,873,878,887,895,903,908,913,919,926,932,939,943,949,957,965,974,971,981,979,998,1004,1008,1009,1031,1042,4500,1059,4500,4500,4500,4500,4500,4500,4500,0,4500,4500,4500,4500,4500,4500,4500,0,0,0,4500,4500,4500,4500,1326,4500,1824,1350,1061,695,461,453,463,499,554,582,628,665,690,695,719,722,721,663,596,552,469,457,466,483,515,492,129,115,111,111,119,147,169,155,127,119,120,120,120,121,123,124,126,129,132,133,135,136,139,142,145,149,151,153,154,157,159,160,161,162,152,4500,4500,999,990,995,984,968,964,958,950,948,942,934,930,925,917,909,900,893,884,875,872,869,866,860,854,847,842,835,829,819,816,815,813,811,808,813,819,823,827,834,843,846,850,856,868,878,886,893,905,916,930,946,957,991,998,1005,4500,987,827,840,771,719,557,446,285,180,63,41,21,27,25,20,36,27,44,29,23,43,23,4500,0,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,2013,2012,2008,2005,2002,1998,1899,1740,1504,776,626,620,620,620,621,738,1029,1339,1618,1782,1878,1936,1972,2038,4500,4500,4500,4500,4500,4500,4500,2128,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,0,4500,0,4500,0,8,28,264,70,30,38,30,20,90,21,78,149,118,136,357,586,698,725,839,905,944,963,972,965,952,943,935,919,906,893,886,881,873,862,855,851,847,840,830,820,812,803,807,808,810,810,813,818,820,824,828,832,838,841,847,854,855,857,861,869,876,884,891,899,908,914,921,929,935,945,944,962,966,991,134,185,195,187,174,168,145,136,123,121,134,119,107,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,1280,1063,968,852,695,472,305,284,273,209,124,111,128,222,337,378,406,447,491,519,552,612,667,706,729,733,738,741,743,747,751,753,758,761,763,761,776,363,268,226,119,110,136,265,339,633,731,755,802,996,937,915,909,914,919,925,933,943,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,4500,0,0,13,4500,977,841,4500,984,972,962,953,946,939,931,925,918,910,904,896,884,877,873,871,866,859,855,848,843,836,828,824,817,816,814,809,809,813,821,826,831,839,849,857,860,866,880,894,905,915,934,4500,4500,4500,873,4500,4500,4500,736,516,406,228,198,135,29,40,0,0,0,0,0,17,22,0,0,28,64,63,25,29,22,33,28,29,407,170,32,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