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8,675,686,695,700,709,720,729,733,739,743,751,753,754,757,761,764,765,768,771,773,778,781,785,792,799,803,815,830,843,862,875,897,918,1122,1,1,1,1,1,1,4501,1,1,4501,2437,2027,1940,1924,1907,991,618,627,628,615,608,597,587,576,570,574,575,571,569,566,562,560,557,560,557,556,555,558,562,564,566,569,572,576,579,577,577,569,580,586,599,613,628,638,634,626,938,1951,1964,1975,2019,2683,3870,1,4501,1,1,4501,1,1,1,4501,1070,925,895,875,862,844,827,817,808,801,793,786,781,780,775,771,767,766,762,760,757,753,753,747,744,736,729,727,717,708,695,691,684,674,663,656,651,646,641,637,634,631,629,628,628,628,629,630,631,632,635,639,644,652,655,664,678,695,701,714,727,743,756,761,770,779,788,792,797,802,806,809,813,819,824,829,831,838,846,861,879,891,901,912,928,934,941,972,1018,664,315,125,4501,4501,4501,2300,2248,2014,837,829,811,1981,785,776,752,770,2051,2063,2051,2050,979,583,548,488,481,488,532,599,651,679,654,632,608,579,565,554,566,584,611,624,658,675,675,677,693,698,704,708,714,719,855,2110,2114,2132,788,773,782,788,798,810,823,828,1542,1698,2007,2271,2322,1,5,4501,4501,30,242,980,955,947,926,899,885,880,866,855,842,835,831,824,818,815,811,807,802,798,793,790,783,774,764,759,746,732,722,708,700,687,674,664,659,652,645,639,635,634,631,628,627,627,627,629,631,634,635,640,646,650,654,662,669,678,690,692,702,714,724,727,733,740,747,750,753,755,760,762,765,769,771,775,779,782,787,793,800,804,815,826,838,855,866,888,911,936,1004,1,1,1,1,1,4501,1680,1,1,22,2514,2031,2006,1992,1992,1075,621,632,629,615,611,606,594,580,575,580,580,579,578,573,567,566,562,560,557,564,565,571,573,573,579,583,583,583,585,580,592,599,601,611,627,636,624,624,1917,1984,2000,2006,2038,2097,3808,3911,2512,737,962,1246,136,1,1,4501,996,945,919,889,868,857,841,827,818,810,802,795,788,783,781,778,771,769,767,765,760,757,752,749,745,738,727,722,718,708,699,687,681,675,665,657,651,645,640,637,633,632,629,628,627,628,629,629,633,637,640,642,649,656,666,670,680,694,707,714,726,740,753,765,772,779,785,794,796,802,809,813,818,821,825,831,837,840,848,859,866,883,891,906,926,953,986,1020,1059,712,348,149,22,4501,2323,1262,969,851,956,828,815,802,789,778,775,766,1785,2123,2108,2106,995,716,711,710,703,699,696,694,696,684,661,615,600,584,555,543,533,544,560,585,591,623,669,682,689,687,693,695,698,702,705,712,1103,2098,2103,2124,752,763,768,776,789,799,802,823,889,1581,1043,1024,4501,1,1,4501,1,1,4501,1000,978,947,921,903,895,880,866,855,846,841,834,829,824,820,815,812,807,800,798,792,785,774,769,756,743,731,717,711,698,689,674,671,663,653,644,639,638,635,630,629,629,628,628,630,630,632,637,640,645,647,655,662,671,681,684,694,705,715,719,726,732,743,748,751,755,759,763,766,771,773,777,781,785,787,794,801,806,815,823,834,847,857,875,897,920,938,969,1,1,1,1,1,4384,2179,355,1,131,2116,2042,2024,1994,1978,1313,1014,629,631,625,613,601,594,581,581,586,588,586,586,581,579,574,572,569,574,575,577,579,580,589,591,591,588,585,586,602,615,620,628,636,619,1598,1978,1974,1993,2090,2063,2074,3416,3042,108,1,1,1,1,1,1,4501,959,928,916,893,871,853,843,830,821,813,806,801,795,789,785,783,780,773,770,767,763,759,754,748,747,741,733,722,714,711,700,691,681,673,667,658,650,643,642,636,634,631,629,628,627,627,629,629,632,636,640,641,645,652,662,672,677,691,704,719,726,738,751,763,774,778,787,793,802,806,811,817,821,828,830,835,845,851,855,862,877,888,907,918,937,960,989,1029,1057,569,298,1,1,1,4501,1755,1784,1592,899,812,800,793,783,771,761,756,747,2102,2097,2081,850,701,698,694,691,689,685,681,684,673,654,627,586,574,559,534,524,514,523,536,558,564,591,635,650,663,672,671,678,679,684,687,690,694,693,1920,2089,1947,740,744,756,767,776,785,794,809,1005,2149,2074,2210,4501,1,1,1,1,1,1,102,998,972,948,936,913,895,878,865,862,853,846,839,833,827,821,815,808,805,797,790,781,777,766,754,746,731,724,710,698,683,677,669,659,650,644,642,636,634,629,629,627,626,627,627,629,631,635,639,640,648,653,663,672,676,684,696,706,711,719,728,738,745,749,753,758,763,766,771,773,777,781,785,787,792,797,802,808,815,823,832,839,852,867,885,903,921,941,986,1,1,1,1,1,1,1,1,1,4501,2184,2912,2822,2000,1996,1778,640,640,623,620,614,601,588,587,591,593,592,591,588,586,582,581,581,583,589,593,596,596,595,594,591,593,607,622,623,630,646,643,1213,2000,1993,2340,3408,2362,3266,3910,1724,1,1,1,862,1,1,1,31,898,910,886,878,859,843,832,827,818,811,806,799,796,792,788,783,782,777,774,768,765,764,757,750,743,741,732,724,712,704,702,689,680,670,664,658,650,642,637,634,630,628,625,625,624,625,626,630,629,633,638,644,648,653,661,673,684,691,701,716,728,735,744,758,769,777,782,790,797,808,810,817,824,830,839,841,852,861,872,878,890,909,927,955,974,999,1034,1070,629,216,13,1,1,1,1,1898,2217,1760,1374,855,789,777,771,757,749,736,732,1786,2078,1729,691,687,685,681,676,674,672,667,670,668,646,623,597,564,553,539,518,507,498,506,520,540,547,572,612,630,641,667,662,665,667,671,671,676,680,680,683,2051,2079,1384,724,735,743,753,763,776,789,1651,2171,2191,2230,4501,1,1,1,1,1,1,1,1,1,1,1,1,888,909,891,880,868,857,846,840,833,826,819,811,808,800,793,786,780,769,757,749,736,732,716,705,689,685,675,665,655,647,645,639,635,630,630,627,626,625,624,625,628,630,633,636,642,648,655,664,668,677,689,698,702,711,720,732,740,744,750,756,761,765,771,774,776,780,785,786,790,795,797,802,809,815,823,827,837,847,864,876,891,915,935,973,1,1,1,1,1,1,1,1,1,28,1949,3108,2742,2020,2004,750,651,658,634,626,624,609,598,590,598,599,601,600,594,591,588,593,596,598,604,604,603,598,598,610,623,629,628,639,639,1398,1995,2014,2034,2046,2068,2090,3056,3662,1603,1,1,1,1,1,1,4501,1020,933,906,887,868,859,845,832,823,821,813,808,800,797,795,790,787,781,781,777,773,768,765,761,752,746,737,735,726,716,702,694,690,679,669,660,654,649,642,635,633,630,626,624,622,623,622,623,626,630,629,635,640,649,651,656,665,678,689,696,708,722,734,742,751,761,770,779,784,791,797,806,811,817,826,835,846,849,865,878,893,903,923,953,984,1020,1043,1093,742,147,42,25,1,1,1,4501,2467,2231,2088,906,1004,781,769,755,748,736,724,713,966,2058,1384,679,675,676,674,665,662,659,658,654,661,647,619,595,576,545,533,519,498,489,479,487,502,522,528,548,589,600,612,646,650,649,654,654,660,662,668,666,671,668,1674,2033,712,712,721,733,739,751,764,1238,811,1943,2013,1828,2307,1,1477,254,1,1,4501,18,14,29,1035,1027,985,944,916,901,882,868,855,845,834,826,819,810,805,799,791,783,781,769,761,753,741,737,723,713,697,692,681,668,659,650,646,641,636,631,628,626,624,621,621,622,622,625,627,628,634,638,645,654,656,666,676,688,693,700,709,723,731,738,744,751,760,763,769,772,777,782,784,788,790,793,797,803,807,813,820,824,832,840,854,863,879,896,917,948,979,1,1,1,1,4501,1,1,1,1,1,1,2076,2085,2036,2032,2029,1678,1418,624,625,620,617,614,606,602,603,607,608,600,597,603,605,611,611,608,607,607,616,612,615,632,838,1526,2019,2026,2026,2051,2072,2090,2109,2698,3385,1361,1,1,1,4501,1,1,1,989,958,930,904,884,865,860,847,835,827,823,816,810,804,801,797,793,788,784,781,777,772,768,763,757,750,739,729,728,716,705,693,684,680,669,661,651,647,641,635,631,626,624,621,621,619,620,620,621,624,629,630,635,643,651,655,660,669,683,696,702,716,728,739,744,753,762,770,778,781,788,795,804,809,815,824,834,845,851,868,885,905,918,945,984,1027,1075,1100,697,64,26,1,1,1,1,4501,3168,2057,2020,1119,2087,1758,757,746,736,730,718,702,687,979,2022,670,662,662,658,655,648,647,647,642,647,648,625,594,573,552,527,519,507,482,473,463,471,484,504,510,531,559,571,578,622,641,634,637,639,644,644,645,648,655,656,652,1005,925,687,701,715,725,732,743,755,2009,1730,2143,2174,2155,2790,2746,1218,103,1,1,1,1,1,1,1046,1007,956,920,903,883,864,849,839,828,820,812,803,801,794,786,780,777,770,762,756,747,742,730,720,705,699,688,675,662,654,649,643,638,630,628,625,621,617,617,617,617,618,620,621,626,630,637,644,646,655,665,676,682,690,699,712,722,728,736,746,757,760,768,772,778,783,786,791,795,800,804,807,816,820,826,831,842,849,863,872,886,909,928,959,981,895,278,1,1,1,1,1,1,1,1,1,1,2109,2093,2070,2058,2042,2023,2015,651,631,639,624,607,611,615,615,618,615,609,617,619,624,624,622,615,612,629,637,896,847,2023,2011,2064,2067,2078,2098,2121,2129,2534,2992,1017,1,1,1,1,1,1,1,1,1017,987,954,921,902,884,875,860,848,839,834,826,819,813,810,805,799,793,788,787,780,772,766,760,755,745,733,722,717,706,695,681,673,671,659,652,642,638,633,626,622,619,618,615,615,615,616,618,619,624,628,630,635,645,653,657,663,674,689,703,709,722,734,745,750,757,762,769,775,780,784,790,798,802,807,814,825,835,842,856,877,898,910,941,986,1027,1061,591,112,28,1,1,4501,1,1,4501,2503,2218,2169,2044,1974,745,734,723,717,710,703,685,663,700,648,650,650,646,642,637,636,637,634,630,638,628,592,568,551,533,510,500,488,466,457,452,460,473,490,495,514,544,553,562,602,631,629,625,625,632,633,636,633,644,643,641,637,794,671,684,696,701,711,723,735,745,950,2144,2173,2214,2370,2640,1624,344,1,1,1,1,1,201,945,991,943,907,889,869,855,839,830,819,813,806,798,796,789,784,778,777,769,763,757,749,745,734,726,710,705,692,680,667,658,654,646,640,631,629,625,622,617,615,615,614,614,615,617,620,624,629,637,638,647,657,667,672,679,688,703,713,720,729,740,752,758,769,774,780,788,791,797,803,808,814,819,826,832,840,846,856,866,882,894,911,935,960,999,1024,827,255,40,1,1,1,1,1,1,1,1,25,2140,2124,2108,2083,2075,2074,1132,976,669,822,652,639,614,629,622,628,629,621,633,632,635,630,624,629,652,662,706,678,689,702,2071,2082,2093,2391,2174,2316,2808,3394,2335,702,28,1,1,1,1,1,1,1,4501,1042,1007,963,937,911,904,884,870,860,854,843,835,830,823,817,810,802,795,793,783,773,764,757,748,736,724,711,706,694,683,671,662,660,650,641,634,629,626,619,616,614,613,612,611,612,613,617,620,624,631,633,638,647,657,661,667,679,692,706,714,727,739,749,753,759,766,770,775,777,781,787,792,796,801,808,816,825,832,844,864,881,892,925,966,1008,1045,591,127,13,1,1,1,1,2759,3270,2370,2213,2146,2094,769,729,717,706,696,687,676,662,635,632,630,640,638,636,631,628,626,623,620,621,626,606,569,550,534,520,495,486,474,454,445,439,446,458,476,483,503,527,536,546,584,616,622,614,613,619,621,625,620,628,632,631,622,619,635,661,676,683,698,704,715,724,1772,1979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447,463,482,489,496,532,562,580,580,579,577,582,585,585,588,592,595,596,590,584,620,635,648,653,661,669,678,678,675,1797,2084,2096,2104,2686,3068,543,1,1,4501,1,1,4501,968,923,895,879,859,843,828,819,809,803,796,790,788,784,779,775,772,769,765,759,755,752,745,737,724,718,707,694,680,668,662,651,643,632,629,624,615,608,605,601,598,594,593,592,592,592,594,597,596,602,608,614,618,623,630,642,651,658,668,682,699,708,729,740,756,770,779,787,799,807,810,820,827,833,839,843,851,858,870,879,891,904,920,944,963,991,1027,1064,1127,409,31,4501,1,1,3,1,1,1,2404,2557,2992,3366,3444,2573,2173,1444,766,757,748,1678,2104,2096,1954,706,697,703,708,1989,2102,2108,1018,750,759,785,1111,2041,2185,2192,2726,3227,3554,4501,1,1,4501,1,1,1,1,1,1,4501,1093,1039,1003,969,951,929,905,892,877,872,862,852,845,840,832,825,817,813,806,796,787,775,771,752,735,719,705,693,678,662,650,648,637,628,618,612,610,604,599,596,593,592,590,590,590,591,592,596,601,602,608,615,621,631,634,642,655,664,671,678,692,706,719,725,737,746,753,755,759,763,769,772,774,776,781,788,790,796,803,813,822,828,842,863,885,897,924,963,996,1,1,1,1,27,7,173,1675,2136,2096,2087,2077,719,676,677,669,659,652,650,642,618,599,594,593,593,590,587,584,582,579,573,572,570,575,562,542,514,496,482,469,450,441,431,413,406,402,410,420,436,442,460,485,492,498,527,556,575,573,569,568,573,580,580,580,585,588,591,588,583,611,630,640,647,658,667,672,670,665,1013,2076,2093,2102,2231,2958,2278,1271,1100,827,1,4501,1,1031,936,907,888,866,847,829,820,810,800,796,788,785,781,777,773,772,767,764,759,755,752,745,737,725,719,708,693,680,669,662,654,643,631,628,623,614,607,602,600,595,592,590,589,588,588,588,591,591,595,600,605,609,615,621,633,641,648,657,670,685,695,714,727,744,762,769,782,791,802,807,816,823,829,837,843,851,857,870,878,890,904,920,944,961,993,1030,1072,1110,491,23,4501,1,4501,71,17,5,1,1,4501,4501,4174,3942,2754,2188,788,781,773,763,752,2099,2115,2101,1684,708,718,1225,2106,2120,2128,761,769,776,787,791,2065,2201,2459,2863,4501,4501,4501,1,1,85,39,38,46,27,29,25,23,1102,1063,1021,983,966,935,913,898,883,876,863,853,844,840,831,823,815,807,802,790,777,764,758,741,720,705,690,682,665,651,640,638,626,619,611,604,601,595,592,590,587,587,586,586,587,589,591,594,599,601,608,613,620,629,633,642,654,664,670,680,693,708,720,727,736,745,752,755,758,762,765,769,769,775,779,784,786,791,799,808,818,827,840,867,887,902,931,972,4501,1,1,1,1,1951,1507,696,2091,2115,2081,2071,2051,663,674,674,668,662,656,648,636,622,592,589,587,588,585,581,575,572,572,568,563,562,570,564,540,512,494,481,467,446,437,425,408,400,401,409,418,433,438,457,481,490,496,533,560,569,560,559,565,569,569,573,574,578,584,581,579,592,620,633,644,643,657,663,674,675,661,1781,2049,2071,2086,2637,2565,1095,1,1,1,1,1,1,991,928,896,878,855,838,820,812,801,794,789,784,781,776,774,771,767,765,760,757,753,750,743,737,724,719,708,693,680,667,663,652,643,632,629,623,613,606,602,599,594,589,588,586,585,584,584,586,587,590,594,598,602,606,612,622,631,637,645,659,673,683,701,713,730,749,759,771,783,796,802,812,820,829,835,842,851,860,873,882,897,915,935,963,987,1025,1066,1104,1169,201,21,4501,1,122,46,27,4501,4501,4501,4501,4501,4501,3371,2912,2212,805,796,786,778,766,1304,2132,2125,1488,1083,733,1533,2125,2136,2141,796,785,788,797,802,1920,2219,2275,2380,4501,4501,4501,4501,4501,1,1,1,1,4501,1,1,29,1152,1084,1047,995,978,950,917,901,883,876,863,851,840,835,826,818,809,802,795,782,769,754,749,729,710,693,681,671,655,642,634,629,620,611,603,598,596,592,588,585,584,583,583,583,585,587,589,593,599,601,608,612,622,631,633,642,655,665,671,679,693,706,719,725,736,745,750,753,756,760,764,766,767,770,774,779,781,785,792,799,807,812,828,849,869,881,906,946,4501,1,1,1,1,1400,46,1,1,1985,2069,2060,2033,653,666,668,661,655,649,642,633,628,586,578,578,583,579,576,572,571,570,566,561,560,566,562,545,516,496,482,468,445,437,426,408,400,398,405,418,433,437,454,483,491,496,527,557,564,556,559,557,560,566,564,570,578,579,580,579,582,607,634,632,645,649,654,656,649,630,2013,2042,2053,2059,3106,2393,1,1,1,1,1,1,4501,1021,899,873,852,832,821,810,801,792,786,782,776,775,771,768,765,763,762,758,756,751,749,742,736,724,718,706,694,680,668,663,653,643,632,628,622,613,605,601,598,593,589,586,585,582,581,581,582,582,584,589,592,596,601,606,616,624,628,636,649,662,673,690,703,719,736,748,760,775,788,793,805,813,821,829,836,845,852,865,875,888,905,926,952,981,1015,1063,1102,1167,124,22,1,1,1,1,1,1,4501,2336,2297,4501,2262,2277,1646,881,814,809,797,790,783,2101,2146,2140,2006,815,1480,1627,2141,2150,2156,785,793,801,811,814,825,840,2073,2207,2404,2295,2332,4501,4501,1,1,1,1,55,23,1,1,1105,1069,1020,982,957,928,900,886,872,866,853,841,833,827,820,809,801,791,783,766,757,742,737,719,700,684,672,662,648,636,626,624,613,605,598,593,591,587,584,582,581,580,581,581,584,587,590,593,597,600,607,612,621,631,634,642,654,665,670,679,693,706,719,726,734,744,748,750,753,756,761,762,763,766,768,772,774,777,781,788,795,799,812,828,844,856,879,912,1318,1,1,1,4501,2863,370,1,377,2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