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,1006,443,128,151,158,161,162,164,161,135,190,239,247,226,1,4501,418,929,939,939,901,883,886,861,850,850,843,839,835,835,1089,1264,809,803,797,792,787,781,779,772,765,755,751,762,766,775,779,782,789,792,797,802,948,1394,848,835,839,842,849,860,860,1187,2191,1,1,1,1,246,240,229,135,116,169,173,172,169,166,158,151,68,1053,1040,1013,985,968,938,920,915,902,892,882,878,871,867,861,855,848,835,811,781,772,762,743,724,704,700,694,688,679,675,670,665,662,657,655,650,643,642,642,644,644,643,643,643,644,645,647,649,654,659,661,664,666,672,686,704,716,728,739,749,760,762,767,769,774,776,774,778,785,787,788,796,808,823,828,844,855,880,915,928,954,980,1045,784,359,530,629,4501,3914,3739,3320,2749,3010,2292,2015,2017,1843,669,659,618,632,621,624,596,597,582,587,583,577,575,578,574,570,565,556,558,555,552,552,555,548,523,497,497,532,549,555,550,553,555,558,565,565,573,577,580,583,584,579,581,591,602,606,621,621,634,623,1355,754,1989,1915,2041,2299,2849,3335,3325,3250,4501,4501,1,1,1,1,4501,974,949,928,913,887,857,842,830,824,813,800,790,785,785,780,775,772,773,771,769,764,759,749,740,728,715,708,687,672,666,664,662,659,656,651,648,646,644,643,643,643,643,644,643,643,645,649,654,656,658,663,667,673,675,684,690,698,700,713,734,757,777,783,800,826,842,851,859,867,869,871,876,885,897,908,918,937,954,978,997,1023,1065,1116,1180,7,31,169,175,178,180,181,173,120,48,275,875,2411,1,1,94,274,282,296,308,318,1,1,1,1,1,804,795,790,787,779,774,771,767,758,747,743,753,756,766,769,771,778,782,788,793,1457,981,2041,1,1,246,247,263,265,267,267,273,1,1,187,197,196,194,190,183,167,150,30,11,11,74,1140,1100,1059,1016,1000,977,952,928,918,912,901,885,871,868,868,867,862,852,845,829,805,789,777,754,730,714,703,699,694,682,676,671,667,664,660,656,655,652,648,645,644,643,644,642,642,643,643,645,648,649,655,658,660,663,664,669,681,701,711,722,736,747,756,762,768,772,771,771,773,780,780,783,786,801,811,820,825,839,857,874,912,928,955,976,1047,1010,542,364,604,32,4501,3644,3868,3457,3279,3098,2436,2026,2002,1718,634,633,632,627,623,607,603,587,581,583,585,582,583,578,574,569,561,562,558,556,555,557,547,524,503,502,533,554,559,555,557,559,563,568,571,577,582,581,583,586,588,587,600,607,610,627,637,623,641,696,1912,2008,2033,2054,2510,2900,3104,3196,2977,4501,1,1,4501,1,1,1037,972,948,927,911,881,858,840,829,822,814,805,792,785,780,780,778,772,771,773,771,763,759,751,739,727,712,705,684,671,666,664,661,659,656,651,649,646,644,643,642,643,644,645,644,645,647,651,655,656,660,664,667,671,672,678,688,699,704,710,722,746,775,787,800,818,837,848,857,864,865,869,871,877,891,912,923,936,948,979,1011,1030,1059,1107,1151,1160,1,1,1,4501,1,143,181,194,199,204,208,213,1,1,267,266,262,258,244,245,255,268,1,1,1,1,1,780,778,771,764,764,757,751,743,736,744,747,756,758,761,766,764,761,796,327,266,266,260,251,241,239,255,255,245,232,229,226,225,1,1,104,50,82,14,28,1,1,4501,1,1,71,1110,1071,1039,1016,979,954,931,920,911,887,875,874,872,865,861,851,840,835,819,804,791,778,749,719,711,702,698,691,683,677,673,669,666,662,659,657,653,650,646,645,645,644,643,643,643,644,646,648,649,655,659,660,662,663,670,681,701,711,719,733,745,757,762,770,774,772,773,779,780,781,788,792,804,812,822,827,842,862,884,913,932,962,981,1058,989,533,255,741,4501,4501,2621,2872,2907,3129,3010,2491,2041,2014,2002,740,643,633,643,617,619,600,593,586,586,590,589,585,581,577,574,567,566,563,561,560,564,551,527,506,507,539,561,565,564,565,565,572,573,579,583,588,589,591,590,587,596,598,608,625,630,633,642,678,1867,2015,2027,2047,2328,2414,2969,2811,3485,2693,4501,1,4501,639,319,362,1037,982,960,928,912,892,868,845,833,824,814,808,798,793,785,780,780,776,775,773,769,763,757,746,733,722,710,704,684,671,665,662,660,659,657,651,649,646,644,643,643,644,644,646,645,646,650,653,657,658,662,666,670,673,676,682,688,697,699,706,719,744,776,786,800,813,825,836,848,859,863,867,868,871,882,898,915,939,957,983,1018,1049,1089,1135,158,14,134,111,166,186,207,223,231,243,241,267,254,261,262,261,253,248,250,246,238,240,251,262,265,269,306,390,389,390,458,681,721,722,716,704,695,726,721,709,707,708,702,416,375,373,380,348,276,265,258,254,252,253,210,1,1,1399,25,3651,1005,1406,1,1,8,24,126,223,233,242,248,266,273,270,279,294,309,321,331,350,369,397,410,469,564,664,916,1465,1571,1422,771,782,793,791,777,769,751,727,710,698,694,691,685,679,677,672,668,664,661,658,654,650,647,646,645,645,644,643,643,644,646,649,650,655,658,659,662,663,670,682,699,708,718,729,741,755,761,767,773,775,778,780,779,787,795,799,807,813,823,831,851,872,895,920,936,971,998,1077,947,460,222,290,676,4501,4501,4241,3833,3600,3454,2691,2053,2027,2013,1141,720,640,631,635,614,608,598,598,594,591,591,589,588,582,578,574,569,568,566,563,567,563,533,509,512,549,567,569,569,569,572,579,579,584,589,595,597,598,600,596,602,608,621,622,643,649,638,658,1818,2026,2040,2064,2089,2444,2629,3107,4501,4501,1,289,473,281,112,31,1014,1000,974,943,926,906,878,857,841,830,816,807,803,800,795,785,781,780,778,774,769,764,758,741,728,719,708,701,686,672,664,661,657,657,655,650,648,646,643,642,642,643,644,645,646,646,649,653,657,659,663,667,671,677,679,686,687,685,687,690,695,693,659,652,654,615,620,633,636,805,1601,2064,2062,2081,2126,2185,2178,2237,956,963,992,1012,1057,1099,702,1,1,1,1,1,1,1,1,1,1,4501,3522,2616,2149,2066,2032,925,1934,1906,636,586,506,492,477,402,382,372,367,371,391,476,522,519,551,662,707,684,634,570,526,532,558,542,563,652,682,967,1013,740,696,738,746,753,799,1700,1673,820,1929,848,1431,901,1958,2679,4501,3276,2535,1481,1124,1,1,1,1,4501,4501,2327,2288,2229,2200,2188,1036,837,834,832,824,826,828,827,829,824,814,801,771,752,735,730,704,695,684,679,681,684,688,683,678,672,667,663,660,657,653,650,648,646,646,644,644,642,643,643,645,648,650,655,657,657,661,662,671,683,696,704,714,723,734,753,761,769,773,778,779,781,788,797,800,801,804,815,829,838,858,873,893,930,951,987,1013,1077,1033,440,184,68,637,4501,2323,2619,3439,3533,3556,2368,1883,2049,2038,1699,1170,643,644,636,633,621,606,598,599,604,599,600,596,591,585,580,578,574,569,571,572,569,540,518,526,554,574,575,575,574,581,584,587,590,596,602,602,602,603,610,617,618,621,645,643,648,661,1850,2006,2043,2059,1757,2107,2522,2681,4501,2224,4501,2094,1752,1282,690,345,755,1070,1009,986,957,935,900,878,860,845,835,819,809,804,804,800,793,786,781,781,778,771,762,756,739,722,714,706,699,687,674,664,661,657,656,656,651,650,646,644,642,642,643,643,645,646,647,649,651,654,657,661,665,670,677,681,689,690,688,688,699,724,749,766,775,793,812,819,822,826,832,837,840,844,855,876,895,899,906,922,972,1006,1011,1053,1136,183,10,2,1,1,33,4501,4501,4501,4501,1295,1372,1292,1106,1785,1964,853,1465,819,805,797,786,779,771,1149,1746,1858,749,745,737,732,728,720,721,709,703,702,695,709,713,716,718,719,731,735,738,744,761,1784,1772,774,784,791,800,812,816,832,1804,859,1790,986,1035,907,931,821,636,330,138,26,4501,4501,19,84,22,1,1067,1020,996,973,940,915,901,896,880,867,849,840,832,829,825,819,817,814,799,778,768,750,738,720,704,700,697,693,684,678,671,666,661,657,655,651,649,648,647,646,644,643,643,643,644,645,648,650,655,656,656,660,662,670,684,696,702,709,717,730,749,755,767,776,783,782,787,795,801,805,805,808,822,834,839,857,876,896,923,951,985,1007,1061,1123,513,233,92,376,4501,2422,2208,3459,1531,2459,2834,2108,2065,2051,2036,887,663,666,656,639,627,615,619,610,606,608,606,604,600,594,588,589,584,576,580,577,579,548,528,535,568,583,584,583,586,586,596,602,605,608,611,612,613,617,617,635,642,635,643,660,673,680,690,1926,2060,2074,2096,2143,2151,4501,4501,4501,4501,4501,1,1,1,1,1046,1030,997,974,933,919,900,872,853,840,837,824,810,802,801,801,797,792,784,782,779,766,757,752,733,717,710,701,698,687,674,663,659,655,655,655,650,648,645,644,643,642,643,644,646,647,647,649,650,653,655,660,666,671,678,682,693,700,709,710,720,736,749,772,782,796,810,816,817,822,827,834,850,854,866,875,888,905,926,946,980,1010,1030,1089,1131,8,1,26,19,1,1,1,14,203,366,1049,993,924,1541,856,846,1736,822,815,805,795,785,778,1496,1981,1061,788,739,736,731,724,720,714,712,708,704,691,682,696,700,704,705,710,716,720,727,728,735,1648,1130,1922,772,778,787,800,802,1435,827,847,875,862,997,4501,1,997,255,168,66,40,17,1,1,4501,1,1090,1081,1041,1020,984,952,925,906,895,877,861,853,849,842,830,821,816,816,810,797,785,776,758,740,725,713,711,706,696,684,677,671,667,662,655,654,651,649,648,647,646,643,643,643,643,643,645,648,650,654,655,656,659,661,671,685,695,700,707,715,726,747,754,763,774,782,783,791,797,800,800,801,808,818,832,837,851,862,887,916,929,968,998,1028,1067,570,226,87,48,600,4501,4501,4501,4501,3759,3527,2238,2082,2067,2048,702,672,665,662,659,643,632,624,621,619,615,616,613,609,604,599,597,592,585,586,587,588,565,542,544,579,592,590,590,595,597,605,606,610,617,620,618,619,622,631,644,636,656,668,677,681,2000,2043,2063,2082,2098,2114,2494,4501,4501,4501,4501,1284,1147,634,329,139,22,997,1005,974,943,925,910,884,865,850,838,828,819,812,802,801,803,799,793,785,783,776,767,753,743,727,716,706,700,696,689,676,663,659,655,654,654,650,648,646,644,643,643,643,643,646,648,648,649,651,653,656,660,666,670,677,681,694,707,715,717,723,742,758,776,787,797,806,812,814,823,835,842,846,847,855,875,898,915,935,951,985,1035,1056,1099,1170,3,1,1,1,1,1,4501,936,4501,4501,1473,993,1084,1202,846,1795,814,1085,795,788,778,771,759,783,749,1937,730,723,718,714,708,704,698,693,692,692,681,672,684,687,686,691,696,700,704,709,714,718,763,1321,745,802,784,771,781,786,1305,808,1109,829,843,944,941,4501,4501,991,1,4501,892,519,20,4501,1,1,1,28,1065,1038,1001,970,932,915,905,887,864,846,842,839,833,826,816,810,805,800,788,778,764,748,729,721,718,711,696,682,676,670,668,662,656,654,652,651,650,649,646,645,644,644,643,644,645,648,649,653,653,654,657,659,669,683,690,694,700,712,723,736,744,759,774,782,786,790,796,800,804,805,810,817,822,828,845,861,876,896,915,944,975,1004,1017,1111,531,257,121,57,4501,4501,4501,4501,4501,2338,2196,2106,2087,2066,2053,1301,680,675,671,658,636,644,637,624,627,624,623,620,614,608,608,602,599,595,597,598,580,557,560,593,605,602,601,605,608,613,617,619,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,909,925,950,977,1007,1026,1065,465,1,1,1,1,1,4501,4501,4501,4501,4501,2330,2185,2167,2150,2127,2115,2099,751,723,707,705,738,680,1287,662,662,665,663,654,654,649,642,641,639,646,638,615,613,647,651,647,645,653,658,661,667,672,672,669,1582,780,842,1228,716,725,733,1014,2110,2132,2143,2158,2181,2193,4501,4501,4501,4501,238,111,26,18,19,1,1,1,1,1001,1014,985,956,930,919,896,876,860,851,848,839,828,828,825,815,809,798,783,778,766,751,735,725,705,692,685,679,675,669,663,657,653,651,650,650,649,647,644,643,643,643,642,643,645,647,648,652,656,660,663,667,673,679,689,694,715,731,749,753,765,771,780,789,792,797,801,803,802,808,818,826,837,842,862,887,908,926,963,999,1041,1111,223,15,1,1,1,1,4501,2080,1,4501,2449,979,983,2003,1967,1179,1371,2038,728,722,713,703,697,687,678,667,657,656,649,650,650,647,641,636,632,629,628,630,628,608,598,621,627,622,623,625,630,633,637,642,646,647,646,650,659,670,681,694,698,709,711,724,1080,1900,1284,1419,1960,1699,2027,2111,4501,1,4501,4501,8,4501,1,1,1,4501,1086,1027,991,942,917,909,888,863,841,832,824,819,812,802,798,795,793,790,787,779,774,767,757,751,739,723,704,690,679,673,669,664,660,656,652,649,647,645,643,643,643,642,642,644,647,648,650,649,649,652,655,662,667,672,674,680,687,695,715,727,748,763,776,784,795,809,819,825,829,834,844,850,853,868,882,899,921,939,970,999,1036,1057,1100,12,2,1,1,1,1,1,27,892,4501,4501,4501,2227,2188,2168,2146,2137,2104,770,865,741,747,965,1616,1401,736,674,681,676,671,667,661,658,653,653,655,649,625,630,661,659,659,663,669,671,678,681,684,690,691,739,1125,1885,2024,1614,746,755,1057,2135,2154,2166,2186,2207,2219,2317,4501,4501,976,737,383,60,18,1,1,1,12,1121,1071,1053,1006,976,939,929,907,890,876,862,855,852,844,834,834,827,814,802,788,782,764,744,723,713,696,687,679,673,670,665,661,655,652,649,649,650,648,646,643,643,643,643,643,643,645,647,649,653,655,660,662,668,674,680,697,707,729,740,756,759,767,773,781,787,789,790,792,800,805,809,813,823,834,841,858,879,906,919,946,983,1023,1097,321,83,17,4501,1,1706,4501,4501,4501,1,4501,2001,1899,2012,1945,928,1415,718,711,707,698,685,683,671,656,654,644,641,639,639,632,632,626,622,620,617,615,621,615,592,579,606,615,611,610,611,616,618,624,627,631,631,625,635,648,657,661,675,678,694,698,704,714,725,1966,2058,2121,785,1808,2254,2631,4501,4501,4501,1,31,41,9,1,1,1078,1014,968,932,916,910,876,853,839,833,823,807,799,798,799,796,789,787,786,781,774,766,756,751,744,733,714,702,684,677,672,665,661,657,653,650,648,646,643,643,643,644,643,644,646,647,650,649,650,651,654,659,663,668,671,678,686,693,704,713,733,754,776,787,801,812,827,834,836,846,853,860,864,879,887,905,930,948,982,1016,1062,1084,1110,523,1,1,4501,1,1,1,40,4501,4501,4501,2272,2256,2122,2196,2174,2165,2145,1031,759,758,2054,1036,1981,807,1550,703,695,690,685,685,679,673,670,665,666,662,639,644,673,674,675,675,682,689,695,695,700,705,747,724,723,879,1339,764,762,775,1863,2162,2179,2192,2208,2228,2249,4501,4501,1,1,1,1,1,1,1,1,1,1,1104,1053,1033,995,966,946,934,909,888,879,871,863,854,852,842,838,829,820,805,788,781,757,732,711,702,693,687,681,674,670,665,661,656,652,650,650,651,648,647,644,644,644,644,643,643,646,648,651,654,658,662,666,672,680,691,708,715,732,743,756,760,768,776,782,786,788,791,794,792,794,799,811,823,834,840,852,872,897,917,936,958,1007,1089,662,300,141,60,28,4501,4501,1,4501,2809,2466,1724,1859,2086,2082,983,710,707,696,689,682,673,666,660,642,633,623,623,626,626,623,620,615,612,607,605,605,609,602,571,556,585,603,602,602,601,605,606,611,612,617,618,620,622,627,637,642,659,658,676,679,685,694,702,1915,2032,1822,2017,1902,2492,2643,2584,4501,4501,4501,1,40,41,22,31,74,1005,969,929,911,904,876,861,842,832,821,811,803,794,790,788,788,788,787,780,776,770,761,756,750,734,720,714,699,689,679,670,666,661,656,652,650,647,645,644,644,643,642,643,645,646,649,649,649,651,651,657,663,667,671,676,684,688,698,704,722,747,771,781,799,817,830,838,843,852,857,866,872,876,884,902,929,940,962,990,1026,1048,1085,1134,118,2,4501,4501,1,1,1,44,4501,4501,4501,2480,2195,2199,2206,2195,2177,2150,1463,768,818,794,1895,749,844,726,709,704,701,697,695,688,682,681,680,676,657,664,688,685,688,693,699,700,707,712,714,719,1685,1996,1004,838,764,772,783,2045,2166,2190,2207,2220,2235,2257,4501,4501,4501,1,1,4501,4501,1,1,1,1,1,879,1073,1010,993,967,944,929,922,904,886,871,868,867,856,850,844,840,833,821,804,782,775,756,725,704,698,691,683,676,670,668,663,659,654,652,650,649,649,647,646,644,642,644,644,643,644,647,649,652,655,659,667,672,679,693,705,716,721,732,749,760,763,771,777,781,786,786,785,784,793,798,802,809,820,840,848,859,877,901,918,949,976,1018,906,443,214,102,205,929,4501,4501,4501,2987,2767,1916,2076,2017,1360,1406,1705,690,688,678,674,670,658,650,645,631,616,616,615,613,612,609,606,602,599,598,597,597,598,577,553,548,571,590,595,590,593,594,597,599,602,605,613,611,608,610,620,633,644,653,662,663,672,685,685,1786,1998,1996,2083,1921,1705,2315,2516,2253,2219,4501,2186,2133,1303,715,365,148,1015,980,949,921,911,882,865,849,837,825,810,800,796,795,788,782,781,782,780,779,776,766,760,752,737,724,719,709,699,688,679,673,665,660,654,651,649,646,645,644,643,643,643,645,646,649,649,649,650,652,657,662,665,668,673,681,688,696,701,714,737,767,774,795,813,830,838,841,848,854,861,863,867,876,897,913,919,936,960,989,998,1043,1088,1139,1,20,1,4501,1,1,1,1,1,4501,4501,2035,2175,2220,2219,2200,2174,1542,783,877,937,774,1927,1734,2055,738,722,713,715,707,703,700,694,692,692,673,676,696,698,702,705,711,716,723,722,728,831,1373,2084,1872,846,783,792,802,1102,2157,2210,2227,2245,2097,1013,772,1,41,15,31,8,1,1,4501,1,1,357,1061,1023,988,977,949,927,913,905,897,880,867,859,859,856,848,845,840,831,816,799,772,762,737,712,701,697,690,683,674,667,666,661,657,653,651,649,648,649,646,644,644,643,644,645,645,646,649,654,655,661,666,676,683,690,702,710,720,723,736,748,765,767,777,780,778,780,781,785,788,790,792,805,817,830,844,852,865,885,916,947,967,990,1061,798,408,193,160,501,4501,4501,1379,1040,1971,2154,1829,859,1956,771,886,685,678,678,668,665,657,650,635,625,624,608,609,612,609,605,597,595,591,589,588,585,587,588,568,544,542,560,580,587,584,581,583,580,586,591,595,606,603,603,603,614,626,631,637,641,656,668,676,676,678,1982,2057,2055,2083,2102,2263,2361,2320,4501,4501,1,4501,1,1,1,1,1,1002,966,950,942,901,870,850,841,830,820,809,796,791,784,783,781,779,776,776,776,769,765,757,741,726,720,711,703,694,687,681,674,664,658,655,650,648,645,643,644,642,642,644,644,647,648,648,650,650,655,658,662,665,671,682,690,695,699,706,721,753,764,786,811,826,838,841,848,856,857,856,870,881,890,902,909,931,951,971,985,1019,1062,1103,1101,1,4501,1,1,4501,4501,1,1,4501,122,947,2027,2169,2222,2227,2203,2048,800,793,867,786,1576,1835,1522,1565,1310,728,724,721,715,711,709,705,700,684,690,711,710,717,721,724,1003,834,739,783,1179,1586,1590,1170,792,800,810,821,1822,2213,2235,2254,2201,4501,958,754,413,195,52,16,1,4501,1,1,1,1,1059,1056,1019,971,959,945,926,908,898,890,881,873,861,857,853,850,845,840,831,814,791,768,757,731,708,700,696,691,685,676,667,665,659,656,653,651,648,648,647,645,644,643,642,643,644,645,648,651,655,657,664,672,681,687,694,701,709,720,725,740,758,767,767,772,773,776,779,779,779,785,794,801,813,823,833,848,857,878,906,949,962,985,1020,968,717,878,1,4501,2252,4501,2205,2445,2259,2075,1949,1031,725,805,696,689,676,664,661,645,645,634,631,627,614,604,608,602,606,601,595,587,583,578,577,579,584,584,581,577,566,516,535,556,574,577,575,572,575,579,579,582,591,593,591,590,596,605,620,626,630,639,648,658,656,660,1805,2032,2034,2065,2081,2269,2648,2672,2479,4501,2797,4501,1277,1155,613,290,98,966,985,964,957,913,886,858,849,833,820,810,803,797,789,779,774,773,773,771,768,766,765,763,750,733,724,712,704,698,688,684,678,670,662,659,653,649,647,645,644,643,642,643,644,647,648,648,650,651,655,657,662,666,673,683,688,693,697,705,723,745,759,776,800,826,840,843,852,854,858,861,874,881,886,898,911,933,948,964,972,1009,1060,1097,1152,1,1,1,1,4501,1,1,1,21,1,492,907,1419,2068,2168,2226,1854,819,812,806,796,785,827,1352,1742,1781,1353,753,736,733,728,724,718,716,700,709,722,725,731,734,740,745,848,956,2002,1977,1906,794,794,808,814,827,835,1255,1474,1541,1436,990,956,885,552,268,86,33,4501,1,1,1,1,1,1032,1095,1047,1011,975,964,943,926,916,904,888,880,878,871,864,856,855,847,842,828,806,780,759,752,733,711,698,693,688,685,677,668,665,659,655,652,651,649,648,647,644,643,642,643,644,644,647,649,653,659,662,671,677,682,686,694,703,712,728,734,748,762,764,764,766,769,770,771,774,783,791,795,800,808,818,835,857,869,890,911,951,976,1008,1060,768,384,164,4501,2275,4501,2435,4232,3173,2337,2498,2098,1417,1550,922,678,675,666,658,657,645,639,635,627,629,612,594,593,591,588,589,581,581,577,573,568,571,574,576,568,532,516,506,522,546,570,568,567,562,566,570,578,574,579,582,587,586,589,606,620,621,628,643,645,642,653,650,670,676,1941,1981,1023,2047,2354,2190,2615,2767,3148,4501,4501,890,727,369,156,598,989,962,950,913,890,862,848,836,816,801,794,792,787,783,778,774,769,766,765,766,764,762,750,741,734,716,706,698,687,683,680,675,666,661,656,651,648,646,644,643,642,643,644,646,648,648,651,651,654,658,662,667,674,681,684,689,694,708,727,747,756,768,793,821,836,845,855,857,867,870,878,878,886,904,917,932,946,968,980,1016,1047,1092,1139,895,1,61,9,4501,4501,1,1,1,1,734,928,992,1168,1475,1518,849,830,830,818,810,800,793,1605,1019,1051,1158,760,761,746,741,739,732,729,720,728,736,740,747,751,757,761,946,1967,1845,1771,805,806,809,825,832,846,849,901,1189,1028,956,951,955,801,476,254,235,59,3,1,1,1,1,1,1029,1091,1049,1015,982,968,948,928,912,906,896,888,884,877,872,864,860,850,839,822,796,774,753,746,733,711,695,689,684,679,675,668,665,659,654,652,650,649,648,646,643,643,642,643,644,645,648,648,654,661,665,674,679,683,686,694,707,717,735,740,749,758,764,764,763,766,773,778,780,780,780,785,792,805,820,833,845,854,879,906,941,963,998,1063,680,339,239,711,1,2740,2577,4090,3041,2732,1877,2011,2050,2027,1782,1443,650,648,639,644,637,626,620,607,606,596,589,577,581,579,578,574,570,568,560,559,559,566,563,558,519,504,499,515,536,562,564,559,558,558,564,563,570,578,582,582,580,586,593,598,602,620,623,635,629,641,637,644,740,1934,2025,2046,2032,2183,2407,2535,2587,2566,2691,4501,4501,853,495,245,261,978,951,943,908,874,848,839,830,823,807,794,788,777,776,778,777,775,770,764,762,762,761,753,745,737,721,712,702,688,685,682,676,668,663,656,651,648,647,644,643,643,642,643,644,647,647,649,651,653,656,661,667,672,676,679,686,691,705,723,737,745,760,792,815,833,844,859,869,874,878,885,892,900,911,914,931,951,977,984,1012,1060,1101,1144,1197,21,37,18,21,1,1,1,1,4501,1040,960,952,930,951,897,866,851,847,830,821,814,808,848,1780,1340,779,1158,766,761,758,752,744,742,738,741,746,751,759,769,897,922,803,795,1106,1076,813,823,825,832,835,851,863,1228,1000,965,962,966,993,864,542,258,19,4501,1,1,1,1,2,1134,1127,1089,1043,1017,980,966,947,933,919,915,909,897,885,882,878,871,861,850,838,820,791,766,749,743,726,706,693,688,681,676,673,668,665,658,654,651,650,648,647,645,643,642,642,643,643,645,648,650,654,661,666,676,682,687,689,697,713,722,738,742,753,758,761,761,765,771,772,774,772,772,777,789,797,808,819,829,844,849,871,905,938,954,995,1041,635,319,795,824,1266,2562,2800,2902,2924,2698,2293,2007,2033,2020,823,647,642,636,639,624,627,620,612,605,597,590,583,581,580,578,575,571,566,559,557,553,557,563,562,553,516,497,491,506,530,556,558,556,556,553,555,562,567,568,575,577,576,584,581,590,599,607,611,623,625,640,640,643,645,774,1713,1836,1773,1970,2419,2854,2448,2611,3154,4501,1,924,1025,858,972,954,943,938,910,874,853,844,830,814,805,798,793,782,770,768,768,768,771,767,763,760,761,756,749,740,727,718,703,693,691,686,677,668,664,657,651,649,647,645,643,643,643,643,644,646,647,650,650,653,656,662,666,670,674,678,685,691,702,718,737,747,765,783,808,835,845,862,873,883,890,1,1,66,925,923,938,950,962,970,1007,1049,1077,1122,1151,1,1,1,1,1,6,1,1,1,4501,917,955,961,951,936,946,864,848,840,831,826,821,817,1132,1682,2026,785,797,791,781,764,757,751,749,753,758,762,769,774,794,818,1815,2065,2088,1180,825,826,832,840,847,857,870,1125,982,950,969,980,849,497,174,31,12,1,1,1,6,14,1146,1123,1103,1061,1027,993,965,958,945,930,928,1,48,132,130,121,4501,879,864,849,837,813,792,770,745,739,723,703,693,687,679,674,671,666,664,658,653,650,649,647,645,644,643,643,643,643,644,645,648,650,654,661,665,674,683,691,694,699,716,727,740,746,755,762,764,764,766,771,770,769,770,773,782,791,799,807,816,830,853,857,869,898,932,941,943,942,969,1,1398,4501,4501,3249,3272,3084,2940,2586,2008,2027,1985,1873,643,637,632,632,637,625,612,605,598,592,588,586,576,577,575,573,565,563,560,558,553,551,554,555,554,544,507,490,485,501,520,551,553,552,553,551,557,556,563,567,574,575,577,575,581,586,589,603,610,616,625,626,625,621,630,1258,1646,2019,1950,1962,2356,2303,2421,2621,3038,2867,4501,4501,1819,1000,944,945,940,935,904,877,860,852,835,820,809,799,794,782,778,772,770,771,771,767,767,766,766,760,752,743,733,721,706,699,695,689,677,668,663,656,651,649,646,645,643,642,642,642,643,645,646,647,648,651,655,661,664,668,671,677,685,689,698,709,723,732,750,781,810,828,838,862,1,1,1,132,135,135,115,1924,927,945,961,972,991,1021,1054,1101,1127,1180,1,21,25,11,9,4501,4501,1,1,1094,962,986,949,932,894,859,857,850,839,836,830,825,825,1952,835,938,1130,784,782,773,768,760,756,759,765,772,780,784,789,796,802,1193,897,829,829,837,836,847,854,872,894,948,944,962,978,991,938,478,80,29,26,1,1,1,1,437,1134,1112,1091,1043,1011,992,969,958,937,928,1,1,135,135,135,140,141,140,301,845,834,815,789,750,729,723,711,698,691,686,679,672,668,664,662,657,652,649,647,646,644,643,642,641,642,643,644,645,649,651,654,661,664,672,684,695,699,706,716,733,744,749,760,764,770,769,768,769,773,774,776,779,782,790,801,811,824,838,857,865,879,902,932,957,1000,1036,4501,2121,1187,4501,3463,3408,3160,3035,2746,2087,1981,1991,1982,911,655,631,620,633,632,620,610,605,599,592,580,578,575,575,575,572,567,563,560,552,550,550,549,552,550,535,495,480,476,492,516,549,551,548,549,552,556,557,562,566,570,571,574,571,574,586,591,595,603,613,616,632,626,628,621,633,1388,1999,1300,1010,2030,2308,2498,1972,1937,2645,1740,467,1046,4501,4501,4501,959,946,915,890,869,855,844,827,817,803,797,786,783,779,779,775,769,768,772,772,770,763,753,746,737,721,711,704,698,686,673,665,661,655,651,649,646,644,643,642,641,641,642,643,645,646,647,650,655,661,663,667,671,676,684,688,696,706,720,725,738,765,810,830,842,1894,133,141,141,140,134,135,132,105,4501,946,961,971,991,1021,1049,1091,1115,1155,60,1,1,1,1,1,4501,34,111,378,972,942,954,940,893,878,864,858,849,836,832,830,829,865,806,806,797,790,788,782,777,767,763,762,772,779,787,791,798,805,810,816,2080,840,837,838,842,853,868,871,886,920,951,960,976,1014,858,345,28,4,1,1,1,1,1,1,1025,1101,1078,1053,1017,997,964,963,848,127,133,132,134,133,139,143,142,142,1,1,1,812,772,740,728,722,709,697,688,685,679,672,668,663,660,657,650,646,644,644,642,642,641,641,642,643,644,645,648,651,655,660,663,671,680,697,704,711,719,734,749,752,762,769,774,775,772,771,777,782,782,785,790,799,805,820,830,845,867,875,891,918,947,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