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2,848,870,886,917,939,968,1,1,1,1,1,1,1,1,1,3490,3695,2065,2013,1957,1919,904,582,611,620,622,615,609,594,591,581,567,566,564,559,560,552,553,548,545,544,541,540,538,539,539,517,533,542,540,532,535,539,545,548,551,554,559,562,561,563,565,568,580,590,594,607,617,628,628,616,590,708,1834,1951,2009,2021,4084,4501,375,1,514,1518,285,1,1,1,4501,963,924,902,882,861,842,827,813,809,800,790,784,780,777,773,768,765,764,760,757,751,748,747,739,735,723,717,711,701,690,683,675,666,660,652,647,642,637,632,626,625,622,621,619,619,619,617,616,614,612,612,616,623,627,642,659,674,695,706,719,726,731,730,708,650,494,346,335,301,283,270,265,256,249,241,236,231,225,216,203,1,1,1,194,190,186,185,185,181,174,170,173,179,183,187,194,191,192,193,844,841,833,824,820,815,809,2163,2183,2173,2166,2162,2154,2150,1794,958,751,745,744,718,692,666,689,717,739,739,784,845,1261,1561,1978,2155,2161,2168,2175,2179,805,812,815,821,828,2134,1,64,191,191,192,189,180,174,170,167,168,175,187,199,201,198,185,194,195,212,209,1355,2035,2240,1956,827,821,818,816,808,802,794,788,779,770,762,747,738,718,717,714,710,684,669,654,636,630,622,619,617,618,619,621,621,621,622,622,623,627,629,631,636,642,646,649,657,667,672,675,688,696,707,717,721,730,737,744,746,751,754,758,762,763,766,769,774,776,780,786,790,796,804,811,824,840,852,877,900,921,945,1032,1,1,1,1,1,1,1,1,1,4501,2118,1997,1975,1945,882,587,610,623,639,620,609,601,593,580,566,564,565,562,562,556,553,548,547,542,542,541,543,544,543,545,546,542,544,544,547,545,548,553,555,561,562,564,563,568,586,596,605,609,609,625,612,600,590,1049,1933,1987,2001,2005,3908,729,1,1,1,248,1,1,1,1,1121,936,913,892,868,851,837,819,806,799,796,788,782,778,775,771,769,764,763,762,757,753,750,747,743,736,730,719,713,706,696,685,676,671,661,656,649,645,640,637,631,628,627,625,623,623,623,623,623,621,619,620,622,629,637,646,659,676,693,711,715,717,715,719,724,741,756,783,792,795,802,809,818,821,828,835,833,822,1370,412,643,880,1118,1014,1013,1077,149,180,163,157,180,180,172,175,180,187,190,189,191,200,209,1,182,817,810,807,800,2147,2168,2162,2156,2151,2093,1471,1061,1286,749,737,737,721,678,655,633,654,683,724,732,732,737,771,991,2006,2132,2148,2148,2148,2140,2120,490,398,328,356,1928,2974,235,200,201,208,207,198,189,189,169,48,9,58,9,19,559,1033,979,942,904,1847,854,859,858,846,835,825,816,809,781,747,707,705,698,710,728,745,745,737,728,724,722,704,689,675,655,643,634,628,624,622,623,627,626,625,626,625,626,628,630,632,635,640,645,648,654,663,669,672,682,692,703,713,716,723,732,741,744,749,753,756,760,761,763,766,769,771,774,778,781,787,792,798,805,820,828,849,869,890,913,924,1107,1,1,1,1,1,1,1,1,1,4501,2118,2006,1967,1950,821,587,595,623,624,603,603,595,594,586,569,569,567,567,564,560,557,554,551,547,543,539,543,548,548,548,548,550,550,554,553,556,561,563,566,567,567,566,584,588,594,609,615,626,615,595,750,1602,1948,1970,2020,2021,3323,3833,1,1,1,65,1,1,1,4501,1028,912,900,876,855,837,826,813,803,794,787,785,780,777,772,769,768,763,761,759,758,755,751,745,740,737,729,722,712,705,698,688,676,669,663,655,651,644,641,636,633,632,628,626,625,625,627,628,629,631,631,630,631,636,646,661,668,683,700,716,727,734,741,751,769,777,784,792,798,796,794,767,728,691,670,643,636,641,1853,2118,2171,2201,2277,1038,2224,2252,2256,1,4501,60,27,29,17,4501,2005,1159,2192,1,1,18,256,264,381,327,306,307,306,306,339,2002,2133,2139,2002,975,987,819,728,724,724,714,687,632,617,598,616,643,686,698,710,686,695,697,727,1122,1397,1745,2089,2008,338,307,308,308,294,282,283,322,1442,2088,1384,2027,2153,2215,3993,1,1,1,1,108,308,308,348,393,435,702,2101,2185,2219,2039,833,829,824,821,821,816,813,809,805,801,796,791,782,779,769,756,743,739,724,708,696,679,669,655,645,639,636,635,635,632,630,629,628,628,628,629,629,632,636,639,643,648,656,660,664,675,683,695,704,707,717,727,736,739,745,749,753,757,758,761,764,766,768,770,773,777,781,785,790,795,806,812,827,841,860,880,894,913,1018,1,1,1,1,1,1,1,1,3656,3572,2050,2026,1968,1955,1218,810,604,616,622,611,607,587,578,572,570,572,572,571,569,563,560,558,556,553,549,544,546,551,548,550,552,554,558,563,569,572,571,571,572,565,569,586,602,614,619,622,617,602,811,1847,1950,1961,2022,2036,3188,4240,1935,1242,2773,3597,1,4501,1,1,991,913,888,874,852,837,824,814,805,796,788,783,781,776,774,770,767,765,763,760,757,756,751,748,742,736,734,725,718,706,700,693,681,673,665,660,652,647,642,639,636,634,631,628,628,628,628,630,631,632,637,641,644,645,654,665,680,688,701,715,730,740,748,759,769,779,784,790,796,802,806,809,813,817,819,821,819,823,827,839,860,902,910,929,948,977,1016,1080,855,429,193,53,1,1,1,1,1,1,1,336,384,333,323,322,307,300,297,298,317,457,467,435,420,429,505,751,698,686,695,696,677,646,605,593,571,584,606,641,658,697,683,625,574,479,461,436,397,382,376,392,436,496,578,629,670,747,772,810,826,839,843,922,2013,1011,4501,4501,4501,4501,4501,4501,1082,1033,944,927,920,914,901,874,859,839,832,826,825,823,820,816,811,808,803,798,794,788,784,778,766,755,750,736,721,711,697,688,673,661,653,651,646,641,636,633,632,630,628,628,628,630,632,634,638,639,644,651,656,659,669,676,687,697,701,709,720,730,733,740,746,750,754,754,758,762,764,765,770,773,775,779,782,786,791,799,806,818,829,843,861,874,896,917,1082,4501,1,1,1,1,1,1283,1,1,1851,2255,2027,1976,1901,1966,784,616,627,625,617,606,597,585,574,568,574,575,572,571,564,561,559,557,558,557,555,556,557,562,564,564,568,573,575,576,576,575,568,576,585,602,612,627,637,635,624,1136,1951,1973,1985,2027,2707,4377,2140,1,1,1,772,1,1,1,4501,1186,926,897,876,862,844,829,817,808,803,794,787,783,779,776,772,769,767,764,762,757,754,753,748,744,736,729,725,715,708,696,689,683,673,665,658,652,647,642,638,635,633,630,629,629,628,629,632,634,636,638,641,650,656,660,668,683,696,705,714,728,743,755,762,770,778,786,789,794,798,804,809,810,814,820,826,830,836,845,857,879,889,900,911,925,930,936,961,1005,803,524,4501,4501,4501,4501,2297,1466,1472,844,830,814,893,820,788,785,782,1656,2065,2057,2041,1201,591,546,487,482,485,525,584,638,678,656,632,610,576,564,555,566,582,610,622,657,678,673,671,688,701,705,710,715,991,1276,2111,2114,2127,827,778,782,790,796,809,821,829,1642,954,2096,2284,2300,4501,4501,4501,1,4501,755,975,953,943,921,901,884,879,864,855,843,836,831,825,820,816,813,809,806,801,796,793,787,777,769,764,750,736,724,711,704,691,679,666,663,655,646,640,636,635,633,630,628,629,629,630,633,635,636,641,646,650,653,663,669,681,690,693,702,714,724,727,736,739,747,751,754,757,760,764,767,770,772,775,780,782,787,793,800,805,816,829,840,856,868,890,911,939,966,1,1,1,1,1,4479,2905,230,1,3505,2500,2034,2011,1993,1889,684,625,627,629,616,610,605,591,575,574,579,580,578,578,570,568,565,562,559,555,562,566,569,572,575,577,582,584,585,584,579,585,598,600,606,625,631,625,623,1563,1974,2010,2015,2044,2060,3381,4363,4152,2086,2439,2231,697,1,1,4501,972,944,918,888,868,856,842,827,817,808,802,795,789,784,781,777,772,769,766,764,761,755,751,750,745,739,729,722,719,710,700,688,682,676,666,656,651,647,641,638,634,632,631,630,630,630,630,631,634,638,640,644,651,659,668,675,685,698,712,718,731,741,756,767,775,783,789,798,800,802,808,813,819,819,825,830,837,841,847,855,865,879,892,905,924,948,982,1011,1065,738,4501,4501,1,4501,2319,2165,1979,970,856,824,815,803,791,779,776,764,1880,2124,2108,2103,1341,715,710,707,702,698,694,692,692,685,656,616,600,582,555,543,531,542,558,583,590,620,666,684,687,686,691,694,698,700,704,706,2056,2095,2099,2120,752,760,769,774,788,798,802,860,1055,2169,1184,1040,4501,1,1,1,4501,1,4501,994,976,944,921,903,894,881,867,856,848,842,835,829,824,821,818,813,808,803,800,794,788,778,772,760,748,736,723,717,703,692,677,674,665,654,647,641,639,635,633,629,629,629,629,630,630,633,636,641,645,646,656,662,671,681,684,694,707,716,720,729,735,743,751,751,755,761,764,766,771,775,777,781,785,789,795,801,805,817,825,834,850,858,876,897,927,941,972,1,1,1,1,1,4501,2600,510,1587,3153,2192,2048,2025,1999,1985,1622,645,624,629,626,615,602,592,582,580,586,586,584,582,579,577,572,570,568,574,573,574,579,581,587,588,590,585,581,585,597,614,618,623,635,621,1398,1991,1986,1987,2041,2063,2080,3187,2614,15,1,1,1925,1,4501,1,1061,951,927,914,892,871,852,843,834,821,812,808,801,796,790,786,784,780,774,769,767,764,758,754,749,747,740,731,722,714,710,701,692,680,674,667,658,650,645,643,637,634,631,628,627,627,628,630,629,633,637,642,645,648,656,666,676,682,691,707,720,727,739,751,764,775,781,787,795,806,808,812,818,824,829,831,838,843,852,857,864,875,889,907,918,939,961,991,1029,1070,642,342,21,21,1,4501,2102,1955,1966,837,1378,798,795,782,771,761,757,747,2076,2096,1900,1205,703,697,691,688,688,683,679,681,674,655,621,584,570,557,533,522,513,523,537,556,563,592,633,651,664,672,672,677,682,682,684,690,694,695,2016,2090,1951,739,746,754,765,777,782,795,846,823,2047,2134,2248,4501,1,1,4501,1,1,1,4501,997,969,946,935,914,896,878,867,861,853,845,839,833,826,823,816,809,807,800,792,783,779,768,755,745,732,725,713,700,687,681,672,662,653,646,644,638,634,630,629,629,628,628,629,629,632,636,640,641,650,656,663,673,676,686,697,707,712,721,728,738,746,749,754,758,765,767,772,775,778,782,785,789,792,797,801,810,816,823,832,838,850,865,886,902,920,944,971,1,1,1,1,4501,2101,514,1,30,2325,2082,2773,2317,1996,2001,1462,638,640,621,620,615,599,584,586,590,591,592,591,587,583,581,578,580,581,588,592,595,595,595,593,587,590,608,623,621,627,651,642,1005,2004,1998,2012,3101,2165,3023,3760,2347,112,1,1,1492,1,4501,1,1015,927,909,888,879,858,845,832,827,819,811,807,801,798,793,788,784,784,778,774,770,767,763,758,751,744,742,733,725,714,706,702,693,682,671,665,659,651,644,640,636,631,629,626,626,626,626,627,630,631,634,640,645,649,656,661,674,685,692,704,718,730,737,747,758,772,779,785,792,798,809,813,818,825,833,840,845,853,864,871,880,891,908,927,952,971,995,1027,1064,672,361,175,12,1,1,1,2324,2240,2149,2100,1033,790,776,781,755,747,735,731,1877,2080,2073,695,686,682,680,674,674,670,664,669,669,646,625,593,564,551,540,516,507,498,506,521,539,545,570,606,629,642,666,659,661,666,669,668,675,680,681,683,2059,2077,1818,807,731,741,756,760,776,790,1906,2139,1746,2222,4501,342,1,1,4501,1,1,1,4501,1032,1002,987,963,931,908,890,882,870,859,848,843,834,824,822,812,808,802,794,785,782,772,761,752,739,732,721,708,693,689,678,667,655,649,646,640,635,630,629,627,625,625,624,626,628,631,634,635,642,648,656,666,668,678,690,699,705,713,722,733,741,745,750,756,762,765,772,774,778,782,785,788,791,796,798,804,809,815,825,829,837,849,865,875,893,914,934,970,1,1,1,4501,14,1,1,1,1,2311,2613,3019,2296,2006,2004,791,648,658,636,628,624,612,594,587,598,597,597,599,593,590,588,591,594,597,603,601,598,596,593,614,621,620,631,639,639,1654,2008,2019,2031,2047,2075,2091,2897,3817,1735,1,1,4501,1328,174,1,1,1010,932,908,887,869,862,846,837,826,822,814,807,803,800,796,791,787,782,782,778,773,769,764,761,753,747,738,735,725,717,704,696,691,681,672,661,657,650,643,637,633,630,627,625,623,623,623,625,626,630,631,635,643,648,652,658,667,680,692,698,711,726,736,743,753,764,772,781,784,792,800,808,813,820,826,837,846,852,866,879,894,904,924,952,984,1017,1045,1094,715,127,29,4501,4501,1,1,4501,3229,2246,1993,2094,1958,780,767,753,749,737,721,712,796,2064,2061,675,675,673,673,663,658,657,655,652,659,648,620,598,573,544,533,520,499,490,479,488,501,521,527,547,584,602,611,646,648,646,650,652,654,659,667,668,667,668,1743,1904,997,706,721,732,736,749,768,778,824,1611,1909,2180,2340,2777,2778,989,73,1,1,1,4501,1,1067,1026,985,943,913,902,884,868,854,846,835,827,818,811,806,800,792,785,782,774,763,755,745,739,727,716,699,696,683,672,659,651,649,641,635,630,627,625,622,622,621,622,623,625,627,630,634,640,646,655,658,666,680,688,694,704,710,722,734,739,743,753,760,764,770,774,778,781,784,788,792,795,798,803,810,814,819,824,832,841,855,865,881,898,918,945,977,1,1,1,1,1,1,1,1,1,1,2259,2081,2062,2040,2032,1984,1572,1448,624,631,629,624,616,600,602,605,607,607,602,597,604,607,611,612,607,607,609,616,611,618,633,633,1607,1918,2030,2028,2054,2077,2089,2112,2605,3486,2476,760,1,1,1,1,1,5,988,960,929,902,884,867,860,847,835,826,822,816,809,806,801,799,794,788,785,784,779,773,768,763,759,750,740,731,729,718,707,695,686,681,671,663,654,649,644,638,632,628,626,623,622,621,620,621,623,627,631,632,636,644,650,656,662,672,685,698,704,716,729,740,745,754,763,773,780,783,789,795,802,809,816,824,835,845,851,865,885,906,918,947,981,1023,1074,1126,756,78,58,2,4501,1,1,4501,3789,2337,1721,1595,2047,1965,756,745,737,730,716,702,701,1154,1827,661,663,661,659,652,649,647,644,644,644,648,625,597,575,551,527,518,509,482,472,463,471,485,503,509,530,558,574,583,624,642,636,639,638,643,645,646,649,654,654,649,845,676,686,700,715,721,731,748,754,2011,1703,2106,1277,2191,2745,2104,768,1,1,1,1,1,1,6,1008,1001,950,917,900,882,864,849,841,828,821,814,805,800,796,789,783,780,772,765,757,749,743,733,720,708,702,690,678,665,656,652,645,640,630,630,626,622,620,619,618,618,620,622,623,628,632,639,647,650,657,668,678,683,692,702,714,725,729,738,747,756,762,769,774,778,783,787,792,796,801,804,809,816,820,828,831,841,851,864,874,890,907,929,957,981,950,293,21,11,1,4501,1,1,1,1,1,4501,2108,2093,2067,2057,2045,2028,2019,659,632,639,624,602,608,615,612,616,615,609,616,618,623,621,619,617,624,627,636,932,669,1901,2043,2064,2067,2081,2097,2121,2128,2540,3220,1764,1,1,1,1,1,1,1,1,4501,985,954,920,900,885,877,863,850,840,835,828,820,815,808,806,800,794,790,787,783,774,768,760,755,744,733,722,720,706,697,683,674,671,662,652,644,639,634,629,623,620,619,617,617,617,617,619,620,625,630,633,636,647,654,659,666,677,690,703,712,722,736,745,752,757,765,773,778,782,787,792,799,802,809,815,825,835,844,858,878,898,913,941,986,1022,1075,683,146,29,16,1,1,1,1,3278,2391,2199,2173,1921,907,751,736,726,718,714,700,685,661,655,643,647,649,645,641,637,636,632,632,629,637,627,597,570,553,532,510,501,489,465,458,452,461,474,490,494,515,541,554,565,605,629,628,623,625,629,631,635,636,642,644,642,637,646,666,680,693,700,710,723,732,750,847,2020,2174,2222,2533,2247,1140,69,4501,1,1,1,9,24,876,993,937,907,889,870,850,838,831,820,812,807,799,796,791,784,780,778,771,765,758,751,747,735,725,711,706,694,681,668,659,655,647,640,632,629,627,623,618,616,616,615,615,617,617,622,626,631,639,640,648,658,667,672,682,691,703,716,722,731,742,753,760,768,774,782,789,792,797,803,810,814,819,827,834,841,847,857,867,884,894,912,935,956,993,1021,955,395,53,1,1,1,1,1,1,1,1,1,2146,2125,2109,2081,2080,1937,961,986,683,777,650,637,614,624,629,630,629,622,632,633,638,636,626,626,654,663,669,679,685,694,2053,2084,2088,2108,2130,2144,2651,3225,2840,1046,1,1,1,1,1,1,1,1,4501,1038,997,960,935,915,902,886,870,859,853,844,836,829,822,818,809,802,795,793,785,776,768,758,752,738,725,712,709,697,685,670,665,662,652,645,635,632,627,622,618,616,614,613,613,614,616,618,620,626,631,632,639,649,657,663,668,679,696,708,715,727,740,749,752,757,766,771,774,778,781,785,793,797,801,808,817,824,832,845,862,879,893,919,956,1000,1043,654,207,31,69,1,1,1,1,3519,2496,2196,2150,2130,1047,728,716,704,696,687,676,660,637,635,635,635,635,633,629,627,626,620,619,620,626,606,574,552,535,519,497,486,475,454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