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3,859,859,859,859,1110,1269,1141,1022,911,731,585,468,415,343,274,220,176,141,113,94,265,217,191,219,309,362,399,429,448,457,462,462,463,463,462,462,460,455,450,450,454,451,448,445,438,426,419,429,443,457,471,484,489,491,494,501,511,522,532,541,549,555,560,564,568,573,577,583,590,596,602,602,602,602,602,893,1129,1320,1477,1683,1989,2274,2274,2719,3075,2460,1968,1575,1260,1008,807,645,516,1313,1511,1671,1767,1732,1619,1486,1372,1280,1201,1226,1168,1095,1038,995,964,941,921,904,889,875,862,848,836,826,817,811,805,800,796,791,787,783,779,776,773,768,762,755,748,741,734,726,719,713,707,704,702,701,701,702,703,705,706,709,714,719,725,730,737,745,753,761,769,779,790,801,813,825,839,854,867,880,895,911,927,945,925,925,925,925,740,592,474,474,1074,1340,1253,1233,1338,1451,1296,1164,1046,947,866,802,753,713,679,650,626,606,591,578,567,559,552,546,541,537,533,529,526,524,523,521,518,509,497,488,486,490,496,500,504,507,510,512,514,517,519,520,521,522,523,524,525,525,527,531,536,540,542,545,551,560,560,560,560,560,718,620,496,496,1006,1039,854,683,547,437,350,280,328,462,570,652,713,759,794,819,834,843,847,849,846,840,833,827,820,812,804,796,788,780,771,761,753,745,739,734,728,722,717,712,708,705,704,705,707,711,714,719,725,732,738,743,747,752,756,760,763,767,769,771,773,774,777,782,788,797,805,813,820,828,837,846,857,865,875,886,900,915,932,951,968,984,999,1015,1031,951,951,951,951,951,761,609,609,1387,1968,2403,2756,2972,2959,2795,2651,2513,2238,1923,1670,1464,1298,1164,1056,968,895,836,788,749,717,692,672,655,642,631,621,613,607,601,595,588,581,578,577,576,575,575,576,577,578,579,580,581,582,584,586,589,593,597,602,607,614,622,631,639,639,639,639,639,953,953,953,953,1662,1330,1064,1751,1401,2021,1617,1294,1038,836,821,867,903,930,950,962,967,968,964,957,948,940,929,918,907,896,886,876,866,856,847,835,825,815,807,802,797,793,789,786,783,779,776,773,771,766,760,754,747,741,735,728,722,716,712,710,709,709,711,713,716,718,721,726,733,740,747,755,764,774,784,792,802,813,827,839,853,868,884,900,916,931,944,957,969,985,938,938,938,938,750,750,600,480,1097,1536,1469,1310,1327,1449,1294,1158,1049,957,881,818,770,730,696,667,642,622,606,593,582,573,567,561,556,551,548,544,541,539,537,535,531,522,510,500,499,504,510,515,519,522,525,527,529,531,534,536,537,538,539,541,543,544,547,553,558,563,568,573,580,588,596,596,596,596,777,685,652,652,928,861,689,551,441,353,282,282,426,542,634,706,760,801,833,855,869,877,881,883,880,875,868,861,853,844,835,826,817,809,800,789,779,770,762,755,748,740,733,726,720,716,714,713,714,716,719,722,728,734,739,744,748,752,756,760,764,767,769,770,771,773,776,781,788,796,804,812,820,829,837,846,856,865,877,889,903,917,932,949,965,980,994,1010,998,998,998,998,998,799,639,511,511,511,1309,1947,2391,2598,2507,2166,1883,1643,1448,1288,1159,1054,967,897,839,792,753,721,695,675,657,644,632,622,614,608,602,596,592,587,583,577,571,569,569,569,569,570,571,572,573,575,576,578,579,580,581,583,586,590,593,596,599,599,606,606,606,606,606,606,606,927,927,927,927,1642,1314,1951,1561,2149,1719,1422,1160,933,759,811,853,886,912,928,937,941,940,936,930,924,915,905,895,886,877,868,860,851,842,832,821,812,804,798,793,789,786,783,780,777,774,771,768,764,759,752,747,741,735,729,724,719,716,715,715,716,720,724,728,732,736,742,750,757,764,772,782,792,802,811,821,833,845,856,868,880,893,907,921,934,946,957,967,980,955,955,955,955,955,764,764,612,1389,2012,2220,2105,2191,2193,1927,1669,1461,1292,1156,1045,956,884,826,776,735,702,675,652,634,619,608,598,590,583,577,573,568,564,561,558,553,544,531,522,522,526,531,536,539,543,546,549,552,555,558,560,562,564,567,570,572,574,578,581,585,589,593,597,604,612,619,619,619,619,619,619,619,619,1145,1172,953,763,1510,1221,983,1686,1550,1439,1349,1275,1213,1162,1120,1083,1050,1021,995,973,953,934,917,903,890,878,865,853,842,831,820,808,797,789,781,773,764,755,747,739,732,726,723,721,721,722,724,727,731,737,741,745,749,753,757,761,763,765,767,767,768,770,773,779,786,794,802,809,817,824,831,839,848,857,867,878,891,904,918,933,946,960,974,989,968,968,968,968,1675,2240,2692,3054,3098,3050,2950,2833,2713,2578,2327,2001,1763,1539,1358,1212,1093,997,920,857,805,762,728,699,675,655,639,626,616,607,599,593,587,582,579,575,571,567,562,560,560,559,560,560,561,562,563,565,566,567,568,569,571,574,577,580,585,589,593,597,601,607,613,613,613,613,613,613,906,1144,1338,1498,1498,1498,2098,2579,2963,3271,3517,2813,2327,2061,1852,1683,1546,1434,1340,1263,1197,1140,1092,1052,1017,986,960,937,917,900,885,871,858,845,831,819,809,802,795,791,787,784,781,778,775,772,769,764,759,753,747,742,737,731,726,722,720,720,722,724,728,733,738,743,747,753,761,770,778,787,796,804,813,820,829,838,849,859,869,879,891,904,916,927,938,949,959,970,983,929,929,929,929,1643,2214,1772,2317,2639,3012,3309,3506,3497,2987,2522,2148,1846,1602,1405,1246,1118,1015,931,862,807,762,727,697,673,653,637,624,613,604,597,590,584,579,575,571,563,550,542,542,546,550,553,557,560,562,565,568,570,573,575,577,579,581,583,586,588,592,596,599,603,607,613,620,630,639,639,639,639,639,639,1217,1874,2399,2819,3156,3425,2740,3092,2590,2266,2012,1808,1644,1510,1400,1309,1236,1173,1121,1076,1039,1008,980,956,934,917,901,886,873,860,849,838,827,816,806,797,789,781,773,766,758,749,741,735,731,728,727,727,728,730,734,738,742,746,750,754,757,760,762,764,765,766,767,770,775,781,788,795,803,810,817,823,831,839,849,857,868,879,892,905,919,933,947,960,974,989,943,943,943,943,943,1655,2224,2679,2713,2735,2808,2891,2889,2763,2620,2349,2025,1746,1521,1339,1192,1075,980,902,838,786,744,709,681,658,640,625,613,603,594,587,581,576,571,567,563,556,549,548,548,548,548,549,550,551,552,553,555,556,557,559,560,561,564,567,571,576,581,586,591,598,604,612,619,619,619,619,619,912,1151,1354,1354,1354,1984,2487,2890,3212,3470,2804,2292,2015,1814,1651,1519,1411,1321,1247,1184,1129,1083,1044,1010,980,954,932,914,897,883,870,858,846,834,822,812,803,796,791,787,784,780,777,775,772,769,765,760,753,748,744,739,734,729,726,725,727,729,732,737,741,746,751,755,761,768,776,784,791,799,807,815,823,831,840,850,860,871,882,894,907,919,931,944,956,965,977,992,954,954,954,954,954,1664,2231,2685,3048,3217,3364,3423,3354,3091,2613,2224,1910,1655,1450,1284,1151,1044,957,885,828,781,743,712,688,668,652,638,627,618,609,602,597,592,587,583,575,563,554,554,557,561,564,567,569,572,574,576,579,581,583,584,586,588,590,593,596,600,605,610,614,619,625,634,643,643,643,643,643,643,643,1415,2032,2526,2021,2517,2013,1679,1380,1167,1130,1105,1085,1069,1053,1036,1020,1006,991,977,962,949,936,923,910,899,888,878,868,858,849,840,831,821,812,804,798,791,785,778,771,764,756,748,742,737,734,732,731,731,733,736,740,744,747,751,755,758,760,762,763,764,765,768,772,777,783,790,797,804,811,817,824,832,840,849,858,868,878,891,903,917,930,943,956,971,987,924,924,924,924,1639,2211,2669,2840,2900,2859,2774,2668,2550,2250,1931,1673,1465,1298,1163,1052,963,891,832,783,743,711,683,660,641,626,613,603,594,587,581,575,570,566,563,559,555,549,542,541,540,540,541,542,543,545,547,549,550,552,554,555,557,560,563,566,571,575,580,584,588,592,598,605,612,620,626,626,626,626,913,1147,1349,1349,1349,1979,2484,2887,3210,2568,2954,2582,2269,2014,1808,1641,1505,1394,1300,1222,1158,1104,1059,1020,986,958,934,914,896,880,867,854,841,829,817,808,799,793,788,785,781,778,775,772,769,765,760,754,749,744,740,736,732,730,730,732,735,738,743,749,754,758,762,766,771,777,784,791,799,807,815,822,831,839,849,859,869,880,892,905,917,929,942,955,966,976,990,986,986,986,986,986,1689,2251,2701,3061,3349,3402,3438,3402,3187,2710,2307,1981,1718,1505,1333,1194,1082,991,916,855,805,765,732,705,684,666,651,639,629,621,613,607,602,598,593,585,572,564,563,566,570,573,576,579,581,584,586,589,591,593,595,597,599,602,606,611,617,623,629,634,641,648,656,656,656,656,656,656,1230,1622,2198,2659,3027,3322,3557,2846,2331,1888,1602,1485,1390,1312,1249,1195,1148,1108,1075,1045,1018,993,972,954,937,921,907,895,882,871,860,849,839,829,819,810,803,797,792,787,781,774,768,761,753,747,742,738,736,735,734,735,738,742,746,749,752,755,758,760,761,762,763,765,767,772,778,784,791,797,804,811,817,824,831,840,848,857,867,877,890,901,915,928,940,954,968,968,968,1675,2240,2692,3054,3343,3364,3293,3160,3007,2832,2657,2314,1983,1714,1498,1323,1181,1066,972,897,836,786,745,711,683,660,640,623,610,599,590,582,575,570,564,560,556,552,549,545,538,532,531,531,531,532,533,535,536,538,540,542,544,545,547,550,552,556,559,563,567,572,576,580,584,589,597,603,611,618,618,618,618,618,906,1143,1357,1357,1357,1986,2489,2891,3213,3470,2997,2602,2279,2019,1809,1638,1500,1385,1290,1211,1147,1092,1045,1007,974,947,924,904,887,872,858,845,832,820,810,801,794,789,785,782,779,776,773,770,766,761,756,751,746,742,739,736,735,736,738,741,745,750,756,760,763,766,769,773,778,783,791,798,807,814,821,829,838,848,857,867,877,890,902,914,926,939,952,963,973,985,1002,955,955,955,955,1664,2231,2685,3048,2882,2784,2751,2723,2607,2247,1940,1690,1489,1326,1194,1086,999,927,868,820,780,747,719,697,679,665,652,642,634,626,620,614,610,606,602,595,582,573,573,577,581,584,587,590,593,595,598,601,603,605,607,609,611,615,620,625,630,635,641,647,653,662,672,683,693,693,693,693,693,693,693,1454,2063,2551,2941,2353,1911,1575,1453,1368,1297,1238,1190,1148,1111,1079,1052,1026,1003,982,963,947,932,917,903,891,880,869,858,847,836,826,817,809,803,799,794,790,784,779,773,766,759,753,748,744,741,739,738,739,741,745,748,751,754,757,759,761,761,762,763,765,768,773,779,785,792,798,805,812,818,824,831,839,848,856,866,877,888,900,913,925,937,951,967,967,967,1674,2239,2691,3053,3142,3122,3027,2898,2764,2629,2483,2122,1825,1586,1392,1237,1109,1005,921,855,800,755,717,686,661,640,622,607,595,585,576,568,562,557,553,549,546,542,539,535,528,522,521,522,523,524,525,527,528,529,531,533,535,537,538,540,542,546,549,552,557,561,566,570,574,578,584,591,598,605,612,612,612,612,902,1140,1333,1525,1525,1525,2120,2596,2977,3282,2847,2490,2188,1944,1747,1588,1458,1351,1262,1189,1128,1077,1034,997,966,940,918,899,883,869,856,844,832,820,810,801,793,788,783,781,778,775,773,771,766,761,756,751,747,743,740,739,738,739,741,745,749,754,759,764,768,771,773,776,780,785,791,799,807,815,823,832,840,850,859,870,881,893,905,917,929,942,956,968,979,991,1007,972,972,972,972,972,1678,2242,2694,2596,2530,2494,2468,2421,2102,1828,1606,1425,1277,1157,1059,979,914,861,817,780,749,724,702,685,671,659,649,641,634,628,623,618,614,611,605,592,584,584,588,591,594,597,600,602,604,606,608,610,613,615,618,621,625,631,636,642,647,653,660,668,677,688,698,698,698,698,698,999,999,999,1699,2259,2708,3066,2474,1985,1877,1715,1578,1466,1375,1300,1237,1182,1135,1097,1063,1033,1006,982,962,944,927,911,897,885,873,861,848,837,827,818,811,805,801,796,792,786,781,776,769,763,757,751,747,744,742,740,740,742,745,749,752,755,757,759,760,760,761,763,765,769,774,780,786,792,798,805,812,818,824,832,839,847,856,866,876,888,900,911,921,932,946,964,964,964,1671,2237,2690,3052,3082,3004,2868,2725,2597,2484,2355,2015,1737,1512,1330,1183,1064,967,889,826,775,733,698,669,645,625,608,594,583,574,566,559,554,549,545,541,538,535,533,529,522,516,515,516,517,518,518,519,520,521,523,524,525,526,527,529,531,534,537,541,544,549,553,558,561,566,570,575,582,590,598,598,598,598,598,893,1134,1328,1328,1328,1963,2470,2876,3201,3461,2987,2589,2265,2004,1793,1623,1483,1369,1275,1198,1133,1079,1034,996,964,938,915,896,880,865,852,839,827,816,806,798,791,785,782,779,776,773,771,766,761,756,751,747,744,742,741,741,742,745,749,753,757,762,767,771,774,776,779,782,785,790,797,805,813,821,830,839,849,858,868,879,891,903,915,927,940,954,966,978,991,1005,1018,934,934,934,934,1647,2218,2674,3040,3332,3565,3752,3615,3125,2649,2266,1958,1708,1505,1342,1208,1100,1013,942,884,835,795,762,735,714,697,682,670,660,652,645,640,635,631,624,612,604,604,606,609,612,614,616,618,620,622,624,626,627,629,631,634,638,645,651,656,662,669,676,684,693,703,703,703,703,703,1005,1248,1445,1445,2056,2545,2936,3249,2599,2136,1870,1705,1570,1460,1369,1295,1232,1178,1131,1094,1060,1029,1003,979,960,942,925,909,896,884,871,858,846,835,826,818,811,806,801,797,792,787,783,777,771,765,760,754,750,746,743,742,741,743,746,749,751,755,757,758,758,759,760,764,767,772,777,782,788,793,799,806,812,817,824,831,839,847,856,866,876,888,898,908,918,929,941,941,941,1653,2223,2678,3043,3137,3128,2982,2812,2664,2529,2290,1958,1692,1478,1303,1161,1046,953,878,817,767,726,692,664,640,620,604,590,579,568,561,554,548,543,538,534,531,529,526,523,519,512,506,506,507,508,510,511,512,513,515,516,518,519,521,522,524,526,529,532,536,540,545,550,553,558,563,568,573,581,588,596,602,602,602,602,602,893,1132,1326,1326,1326,1961,2469,2875,3200,2773,2418,2127,1891,1701,1548,1424,1321,1236,1167,1108,1058,1016,981,952,928,907,889,874,860,847,836,825,815,806,797,790,784,780,777,775,772,769,764,759,754,750,746,744,742,742,742,743,746,750,754,758,762,767,771,774,777,779,782,784,789,795,803,811,818,826,835,845,853,863,873,885,896,907,918,931,945,958,970,982,996,1012,967,967,967,967,1674,2239,2692,2603,2530,2471,2420,2376,2124,1852,1631,1452,1306,1187,1090,1012,947,894,851,815,783,757,735,717,702,689,679,670,663,656,651,647,642,639,633,623,616,617,620,622,624,626,628,630,633,635,637,639,641,643,646,649,654,660,667,673,679,686,692,700,709,719,735,735,735,735,735,1008,1008,1008,1706,2265,2712,3070,3356,2705,2371,2104,1888,1713,1571,1455,1359,1278,1210,1156,1108,1068,1032,1002,978,956,936,918,903,888,874,859,846,835,826,818,812,808,802,797,793,788,784,778,772,767,762,757,753,749,746,743,743,743,745,748,751,753,755,755,756,757,759,764,768,772,777,781,787,792,798,804,810,815,822,828,836,843,851,860,870,881,891,900,909,920,932,932,932,1198,1410,1575,1702,1799,1835,1754,1694,1522,1348,1205,1091,999,922,859,807,764,728,698,673,652,635,619,606,595,584,575,567,560,555,550,546,542,539,535,532,529,526,523,520,515,507,499,498,499,500,502,503,504,506,508,510,512,514,516,517,519,521,524,528,532,536,541,545,549,553,558,564,570,577,584,591,599,605,613,628,628,628,628,628,912,1151,1151,1151,1821,2357,2096,1879,1695,1544,1423,1325,1244,1176,1119,1072,1032,997,967,942,921,902,887,873,861,849,839,829,821,813,805,797,790,784,779,776,773,770,767,762,758,753,749,746,744,744,744,744,746,749,753,756,760,764,769,773,777,780,783,785,788,791,796,804,812,819,827,837,846,855,864,874,885,897,909,920,933,948,961,974,987,1000,1016,1032,976,976,976,976,1681,2245,2252,2257,2256,2251,2198,1953,1718,1528,1374,1247,1143,1059,990,932,884,846,813,785,760,740,723,708,696,686,678,671,665,660,656,652,648,643,634,628,628,630,632,634,636,638,640,643,645,646,648,651,654,657,661,666,673,679,685,691,699,706,715,725,735,746,756,756,756,756,756,756,756,1505,2104,2583,2967,2373,2067,1867,1702,1568,1459,1367,1293,1229,1174,1127,1090,1055,1025,998,976,957,939,922,907,894,881,868,854,843,833,825,819,813,808,803,799,794,789,785,780,774,769,764,760,755,751,748,745,744,745,746,747,750,753,754,755,756,757,760,765,769,774,778,783,788,794,800,805,811,817,823,830,837,845,853,863,873,883,893,902,912,923,935,935,935,1149,1341,1503,1633,1735,1661,1565,1430,1333,1197,1083,991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