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76,270,277,410,618,659,677,672,708,532,502,713,744,752,757,774,782,786,804,804,787,567,418,414,415,421,478,520,502,508,535,576,593,601,623,644,655,679,670,685,704,719,743,753,763,768,775,778,778,779,778,776,774,770,761,754,751,745,738,733,729,728,727,725,724,723,719,717,717,717,718,722,726,727,729,736,747,752,752,752,755,759,763,767,766,765,767,766,763,761,759,762,763,767,774,783,789,789,790,797,818,827,846,875,910,933,944,945,929,915,905,891,873,855,842,835,822,808,793,786,778,769,760,748,746,737,726,721,717,711,704,699,693,690,686,682,678,675,673,668,665,662,660,657,655,635,630,655,662,665,667,671,674,678,682,683,687,693,698,700,707,712,719,725,729,735,742,754,760,767,775,784,795,803,817,830,842,850,863,881,895,912,922,936,954,944,935,911,864,844,832,820,803,798,794,789,784,775,766,762,762,764,767,771,772,772,765,766,767,764,759,756,753,751,749,742,732,727,726,725,723,719,717,716,717,720,723,724,726,728,729,731,735,742,750,756,759,765,772,775,777,781,781,778,775,773,763,754,742,739,737,741,747,766,763,761,785,802,809,823,841,851,884,908,932,946,938,921,904,881,863,846,836,818,802,785,780,768,755,742,734,728,716,710,700,696,690,684,676,660,654,650,623,520,463,390,408,407,413,435,473,501,558,589,623,602,581,567,596,605,571,527,488,472,458,449,505,579,566,602,595,573,584,630,627,631,643,643,648,648,664,660,674,687,697,693,662,642,664,663,671,653,679,673,688,705,715,724,772,820,834,839,813,811,805,800,789,778,776,778,780,782,780,774,768,770,773,775,777,777,780,783,780,778,773,771,767,746,908,710,698,637,695,636,671,837,678,851,654,679,696,695,701,694,703,708,717,706,721,737,734,740,743,743,753,754,746,757,769,771,775,769,770,767,767,765,770,777,783,784,793,804,817,826,846,861,883,926,941,956,945,927,918,898,886,873,858,855,835,824,810,802,792,784,773,762,758,751,739,733,732,725,720,714,707,704,699,694,690,688,684,680,677,674,671,669,666,653,651,667,673,677,679,681,685,689,694,696,699,705,711,712,719,726,730,737,741,747,757,766,772,780,790,797,811,820,832,847,858,867,881,896,915,930,938,958,450,936,922,885,861,836,824,817,804,788,781,779,776,771,761,767,771,765,775,774,778,948,762,760,737,758,730,738,742,728,723,714,715,712,684,704,709,683,678,688,685,696,696,682,694,667,704,672,696,692,720,724,717,1719,743,898,755,1652,759,829,786,1171,806,757,1425,743,648,1,888,1284,35,1,779,1515,303,1,1,856,257,892,27,1,64,1016,993,1937,776,267,1470,666,275,833,751,701,701,208,1272,701,1099,689,680,678,670,665,662,654,650,646,641,637,636,631,621,609,602,591,551,525,539,559,596,588,567,554,584,600,611,614,616,620,622,623,625,629,633,637,639,644,647,653,654,661,666,675,682,684,691,696,704,712,724,730,738,743,747,762,772,791,804,818,835,852,875,889,911,931,918,906,873,844,823,809,804,789,775,773,774,775,775,772,764,759,745,763,763,758,760,744,781,760,763,747,710,743,729,719,714,678,707,675,699,681,684,670,677,671,682,688,170,1,45,197,200,104,136,158,82,79,89,87,62,62,81,76,67,60,55,50,55,58,43,45,54,57,46,48,50,57,41,47,55,51,40,37,44,46,50,41,59,46,48,38,38,47,46,46,43,53,53,41,47,39,46,51,50,40,53,64,71,66,1,1,1,1,1246,999,911,823,684,643,632,641,645,634,633,650,654,657,655,656,660,665,668,671,673,677,683,687,690,927,783,720,1967,2092,2145,2165,2182,2194,2212,2003,2140,2277,2291,4501,4501,4501,4501,4501,707,749,879,982,1049,976,949,915,856,820,810,801,794,940,771,764,754,934,932,747,743,747,755,744,744,751,781,721,879,683,711,692,669,664,843,673,653,664,666,660,634,649,656,652,604,525,1,1197,1,126,1,486,1,22,826,1,1,1,1,2117,1,19,77,1,1,871,1,737,781,2387,1251,1641,1442,1799,1,57,1,50,840,1473,1,59,783,17,9,1,2,1,1,1,1,1,1305,2153,1,2488,1209,1,1991,1,1,732,1,608,947,595,446,573,566,561,551,556,401,575,503,546,570,569,567,677,564,559,569,571,565,528,507,500,525,553,571,562,559,559,564,563,561,562,565,566,564,561,553,558,557,566,577,580,593,596,598,582,598,674,1540,1814,2056,2057,2220,2413,2464,2843,2989,3356,1808,534,4501,4501,1,4501,1019,1002,962,941,848,814,802,787,770,759,750,759,755,745,741,736,908,754,756,758,799,766,1022,760,745,737,790,719,870,774,897,676,671,623,658,650,604,601,129,375,250,115,123,126,160,109,116,127,84,99,99,86,78,63,84,55,59,59,59,61,55,52,54,63,58,56,40,36,44,59,51,38,36,48,38,50,42,44,23,41,45,42,32,37,40,38,32,32,51,35,36,39,39,36,41,39,33,37,41,41,43,48,43,47,60,43,43,33,45,37,82,66,1,562,597,1,653,641,637,661,660,663,664,666,669,673,680,680,682,679,683,685,699,745,1097,730,728,876,964,1782,2025,2144,2208,2238,2280,4501,1994,1,4501,4501,4501,1,24,264,456,999,985,1134,925,914,871,825,813,806,960,774,760,769,769,757,763,750,756,740,765,930,746,713,962,736,715,697,709,692,683,661,654,659,652,1010,661,629,655,586,625,627,390,634,626,637,620,609,951,1,519,1,80,708,1,1020,246,1007,1,37,1784,453,2699,1,393,1,1,536,1,1,1,2424,389,1496,644,955,1,1,1,263,817,246,25,20,16,1,1,1,567,824,1355,1,1843,1,978,23,1242,518,618,586,1,1,47,583,308,230,522,496,558,560,542,601,564,371,530,558,558,556,552,556,562,565,540,510,494,487,516,538,564,559,553,553,560,556,556,555,557,560,559,551,548,546,539,540,541,559,563,577,572,575,570,567,587,641,816,1585,2029,88,2266,959,3192,3316,2255,202,1,4501,1,1,947,1001,969,2074,926,796,785,767,761,758,752,747,740,722,731,736,741,742,752,755,755,754,791,753,742,745,840,730,728,682,699,688,683,682,646,665,634,652,654,635,628,650,613,614,139,231,178,126,106,122,137,76,93,61,67,82,76,54,64,74,76,68,59,60,55,42,49,52,40,46,50,47,41,47,38,36,40,40,32,37,38,40,44,39,44,49,44,40,38,37,34,35,36,44,35,44,45,41,35,35,41,32,38,40,49,50,40,51,50,47,41,37,50,52,51,54,46,65,590,649,1327,345,733,666,669,669,670,697,664,1603,1926,1913,2064,1393,2071,2096,2147,2158,2185,2514,2870,2172,2234,2332,1332,3023,1,1,1,4501,1,4501,4501,1,1,1088,1042,1408,922,901,864,869,993,1278,781,776,1458,751,743,751,791,1313,758,875,763,729,1313,1379,1194,1242,675,706,1067,589,625,627,632,638,640,631,632,639,615,634,629,623,586,633,627,651,661,658,679,642,691,871,720,905,734,731,760,743,744,927,746,744,741,738,729,723,721,719,719,727,739,750,753,755,761,780,789,2049,2292,2367,1034,1051,654,49,1,1,1,1,1,1,4501,1,1,1,1,1,24,456,501,509,523,542,542,539,538,525,523,520,519,520,533,541,539,539,538,538,534,535,528,530,544,545,516,475,465,459,486,510,538,538,523,524,526,530,531,529,528,528,532,526,513,508,517,517,517,529,538,546,546,539,519,474,468,474,1874,1989,1876,104,1,1,1332,2055,1,4501,1,1,4501,1,1,1009,1465,2300,2231,816,1180,763,753,746,740,729,724,721,718,719,724,728,735,741,747,746,746,747,747,746,745,739,734,722,709,696,691,687,681,674,664,656,657,655,654,655,653,658,659,655,661,664,669,675,682,689,703,720,733,741,754,764,767,760,758,751,754,765,769,769,765,762,761,762,772,780,797,806,819,2015,1425,1418,1029,1058,1113,199,7,1,1,1,1,4501,1,1,1,4501,4501,2931,3453,4171,4457,4303,2448,2152,2139,2119,2115,2093,2081,2082,2069,1675,660,659,660,660,653,660,656,657,662,665,655,666,663,668,668,669,672,676,676,675,1388,2075,2069,1800,1927,1394,1924,2152,2165,2166,2558,3130,3112,2517,2641,2606,2375,810,25,4501,1,4501,1,1,136,24,1133,1048,1000,932,901,867,842,826,811,800,782,774,769,768,768,766,771,775,773,765,759,760,762,764,759,753,743,731,714,702,690,684,677,670,666,665,664,665,663,663,664,664,664,667,670,673,679,688,691,695,703,712,728,736,739,743,747,744,743,740,740,736,729,727,720,716,716,718,718,714,718,728,732,744,753,777,791,818,2267,2336,984,1050,772,1,1,1,4501,1,1,1,1246,267,1,1,781,1476,504,481,530,522,553,550,545,543,533,520,525,515,515,518,530,532,530,529,532,531,529,528,523,529,537,536,502,478,457,449,469,498,532,536,525,519,527,528,526,524,530,523,522,523,519,514,516,522,530,536,543,555,551,549,506,513,505,493,1392,1977,1933,1,6,807,3028,2492,1,1,1,1,1,1,1040,969,927,2053,822,793,767,755,743,731,725,715,715,721,725,725,723,723,728,733,737,737,738,745,749,752,748,742,739,730,718,708,703,698,693,687,677,675,669,665,664,664,666,666,665,666,666,669,671,675,683,688,698,710,723,733,749,755,760,758,757,759,767,772,771,770,767,765,765,767,773,784,801,810,826,839,852,873,923,996,1036,1092,805,437,226,77,28,1,4501,4501,1,1,1217,2166,2252,2249,2366,2209,2177,2167,2162,1282,743,938,782,720,703,694,694,695,693,691,687,685,684,681,681,683,680,687,687,687,689,690,691,698,700,987,1912,1967,2123,2123,1570,2160,1537,2170,2184,2375,3062,3386,3540,3635,3463,1,1,1,1,1,1,4501,24,1,1,4501,1,1082,1041,951,1053,864,849,832,815,810,804,786,772,771,770,773,777,784,786,782,767,764,763,766,761,753,733,719,703,690,680,675,667,664,659,660,660,659,658,658,657,656,656,660,665,668,677,684,693,696,704,716,729,737,738,746,747,741,735,728,728,728,725,722,718,721,721,721,716,712,710,719,725,740,755,1043,1997,1495,2277,2250,986,1022,292,1,1,4501,4501,1,1,1,1855,26,1,16,1975,1535,592,485,533,523,558,566,549,541,535,521,520,520,515,522,526,531,528,527,524,528,524,520,522,526,533,533,501,466,452,451,469,488,519,530,518,514,520,520,523,522,518,518,522,520,514,514,510,510,517,528,545,555,558,551,527,499,516,508,959,1999,2015,1692,1,4501,704,1,1233,1,1,1,1,4501,1,992,1505,2288,2196,1065,761,751,736,723,718,710,710,713,719,721,723,722,725,729,730,726,729,737,742,748,747,741,736,727,715,702,696,692,683,676,668,665,659,656,655,654,653,652,653,652,651,652,655,659,667,669,681,694,708,722,749,760,761,761,762,770,777,850,1252,775,770,771,774,780,794,802,807,810,870,1070,868,2101,1385,1043,1096,1177,114,17,1,1,1,1,2,20,4501,1,4501,3174,3550,3838,4092,4310,3947,3156,2208,2162,2141,2140,2113,2110,2097,2102,2080,2047,897,689,708,670,670,666,670,678,673,676,675,677,675,678,1659,964,2078,2106,2101,2110,2132,2139,2141,2165,2169,2184,2810,3377,3683,3827,4188,4034,3473,4501,4501,1,1,24,1,1,1,1,1,1,1144,1084,1006,946,1018,877,852,819,805,804,801,799,788,783,771,769,772,775,772,774,774,767,764,761,758,746,722,710,694,682,672,667,662,658,658,657,657,658,660,661,661,662,664,666,672,677,685,693,700,706,713,723,737,744,746,751,752,742,736,732,730,732,731,729,723,722,722,721,717,715,718,726,734,742,748,766,786,840,863,910,962,1001,1,1,1,1,1,4501,2583,3050,2311,1482,2014,1356,738,690,536,540,547,554,567,557,541,543,536,537,527,529,534,534,536,534,531,529,528,532,531,532,528,534,535,527,490,468,455,454,471,488,521,534,528,521,525,529,529,531,524,531,534,531,531,524,525,525,533,542,549,552,567,565,553,553,527,545,551,652,1124,1987,1916,1954,1,40,2298,2193,1,1,1,1,1070,962,909,867,844,786,759,744,742,734,727,718,714,719,721,721,722,724,730,734,735,735,735,742,745,753,755,750,746,738,728,717,708,704,695,687,679,674,670,665,663,662,663,663,662,660,661,659,660,664,672,677,685,697,713,724,747,760,764,770,771,780,777,776,777,777,773,773,788,794,804,804,806,811,830,855,876,911,941,984,1055,1106,1185,26,1,4501,1,10,4501,1,1,1,426,1,2244,2538,2757,3159,3257,2210,2200,2190,2032,2142,2151,2140,2137,2121,815,712,707,700,696,695,695,693,685,693,691,695,694,698,698,704,710,713,957,2116,2113,2141,2153,2147,1630,2180,1538,2206,2215,2216,2597,2889,2532,2675,872,745,4501,4501,1,4501,193,19,1,1,1,17,1113,1063,973,934,918,879,856,835,822,815,812,804,791,786,777,772,777,782,783,785,786,779,775,769,757,743,724,714,695,684,674,669,663,660,658,657,659,660,661,660,661,662,663,668,674,678,685,694,701,706,717,726,738,744,747,749,745,738,734,732,734,734,732,728,719,716,717,718,716,712,720,727,734,745,749,772,794,832,861,904,953,1048,1,4501,1,1,1,1,2944,1123,925,1745,1848,664,592,579,540,558,563,575,580,575,559,556,549,540,537,531,536,539,539,537,535,532,531,532,524,525,525,530,533,524,482,462,449,442,462,480,509,533,530,523,522,525,527,531,534,536,536,538,537,537,539,536,540,545,561,559,575,583,566,566,550,547,568,584,602,1924,1997,1333,2062,2234,2573,3210,3107,1854,787,1,1067,1044,910,861,828,796,778,754,745,736,730,721,715,715,715,715,716,720,728,732,737,738,737,736,737,744,748,746,744,738,727,715,706,701,692,684,676,672,666,661,658,657,657,658,656,654,654,654,657,658,667,672,683,695,710,720,739,756,767,779,782,787,787,785,786,782,780,780,785,788,798,813,829,831,836,845,874,920,936,975,1069,1115,1173,23,4501,1,1,1,4501,4501,4501,1,4501,4501,913,2243,2852,2960,2892,2226,2205,1397,2149,1251,2007,1465,2140,2071,764,720,716,712,707,704,702,698,698,703,703,701,702,706,706,707,715,721,725,1162,2137,2124,955,1284,1733,984,1918,2211,2213,2471,2877,3024,2927,2574,2126,1,4501,1,1,1,1,1,1,1,4501,4501,1176,107,142,122,1,1375,1463,1,1,2519,815,800,789,788,789,790,791,792,794,793,791,784,779,771,753,737,722,714,695,683,673,666,661,656,655,656,657,659,659,659,659,661,663,668,676,682,689,697,706,710,720,730,742,747,748,749,743,736,737,739,736,733,728,725,718,712,712,713,714,716,724,731,734,744,760,784,794,815,858,904,956,1389,4501,4501,2459,2436,2667,2728,2574,1787,1742,1588,815,599,600,583,572,567,578,578,583,573,558,553,542,537,537,529,534,537,537,534,534,532,531,528,525,525,525,533,533,523,479,450,439,433,455,473,513,530,530,522,521,523,529,527,530,535,535,537,538,535,531,533,541,543,551,557,567,584,576,564,562,542,566,584,596,1018,1800,1793,1872,2349,3496,3596,3363,3581,4501,4501,1488,1268,906,861,809,792,783,764,740,731,728,722,716,712,711,710,711,716,720,725,729,736,739,737,738,739,746,747,746,740,732,719,708,704,696,689,682,677,670,666,662,661,661,662,661,659,659,658,660,663,671,676,687,700,714,724,740,757,770,780,784,790,797,803,804,802,798,797,795,813,793,2712,167,161,158,160,154,149,151,155,151,17,4501,164,7,87,70,20,28,1,1,1,4501,1,2364,2520,2306,2494,2320,2240,2247,1742,1135,775,1005,2053,875,1281,744,725,723,720,713,712,711,710,756,709,710,708,712,714,713,716,719,726,732,731,2048,885,1720,766,778,1875,2093,2214,2231,2302,2442,2479,2338,2874,4501,1,1,1,1,67,28,28,1,4501,1,1,278,111,145,149,149,147,152,154,154,155,160,8,802,802,805,808,810,811,810,802,796,784,780,774,756,739,724,713,698,687,675,670,663,659,658,659,659,661,662,662,662,664,667,673,678,681,690,699,705,712,723,734,743,747,746,743,738,741,741,738,734,727,721,720,715,711,709,709,711,717,722,725,727,748,772,783,788,806,868,903,1000,1460,4501,4501,4411,4272,3995,3013,2400,1299,1772,1881,808,603,577,572,555,552,573,584,575,567,555,552,544,539,535,536,536,539,538,534,532,530,529,528,525,522,524,531,529,519,476,452,436,434,456,471,509,530,530,524,523,523,530,528,532,535,535,537,538,535,532,535,534,546,554,557,569,581,577,556,563,543,574,582,603,616,1542,1630,858,1,1649,2588,2912,2807,2953,4501,2403,2183,910,877,819,788,783,770,751,727,724,722,720,712,709,709,710,712,716,720,725,732,737,741,741,741,742,744,744,741,732,723,711,706,698,690,682,678,673,667,664,662,662,661,662,660,659,659,661,666,672,676,690,704,716,726,746,767,781,788,790,796,803,808,811,813,811,807,808,807,1,152,151,151,147,144,144,144,145,136,956,1117,1165,265,13,1,9,29,1,2,1,1,1695,4501,2090,2237,2450,2535,2466,2240,2227,2072,1095,783,976,763,776,1625,772,734,734,728,720,721,720,718,714,712,715,714,717,720,721,723,727,735,733,1405,2009,1769,1901,1963,818,1621,1353,2227,2237,2293,2451,2266,2302,2321,1,1,1,1,638,231,27,37,30,1,4501,1,910,1096,134,142,143,143,145,148,149,150,151,1,1,1,813,812,812,809,807,803,799,795,792,784,764,743,725,717,700,687,676,671,665,662,658,659,660,662,662,661,662,663,667,673,680,683,691,699,707,713,724,735,741,743,742,739,740,739,738,731,723,718,713,712,708,706,706,708,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