33extern "C" const unsigned long sabrabsprob[] = {60342,291274,515252,694004,836701,953289,1050056,1132010,1202241,1263153,1316842,1364717,1407266,1446040,1481425,1513334,1543017,1569884,1594948,1618387,1640339,1660694,1679833,1698081,1715036,1731139,1746327,1760919,1774403,1787353,1799707,1811550,1822987,1833783,1844438,1854379,1864056,1873190,1881907,1890509,1898759,1906719,1914318,1921724,1928712,1935493,1942202,1948706,1954863,1961008,1966966,1972750,1978322,1983821,1989159,1994254,1999267,2004184,2008986,2013673,2018192,2022656,2026921,2031190,2035416,2039428,2043404,2047234,2051046,2054654,2058305,2061857,2065374,2068724,2072001,2075235,2078372,2081504,2084519,2087596,2090499,2093278,2096135,2098886,2101682,2104341,2107048,2109666,2112241,2114724,2117227,2119730,2122058,2124426,2126738,2129006,2131172,2133380,2135533,2137616,2139719,2141745,2143837,2145838,2147753,2149686,2151620,2153473,2155308,2157128,2158920,2160702,2162468,2164193,2165904,2167571,2169198,2170869,2172573,2174176,
3412148,123121,282483,433350,565404,679824,778977,864809,941135,1007823,1067365,1121192,1169246,1213066,1253347,1290441,1325052,1357146,1386553,1414135,1439884,1463979,1486817,1508228,1528383,1547532,1565708,1583033,1599357,1615128,1630045,1644293,1658125,1671350,1684005,1696243,1707989,1719243,1729998,1740233,1750096,1759695,1769054,1778238,1786925,1795389,1803711,1811602,1819347,1826779,1834108,1841337,1848345,1855008,1861501,1867935,1874178,1880090,1885913,1891709,1897226,1902669,1908083,1913432,1918523,1923581,1928425,1933262,1937909,1942438,1946850,1951110,1955396,1959670,1963700,1967724,1971639,1975516,1979164,1982979,1986656,1990290,1993793,1997260,2000700,2003970,2007274,2010470,2013684,2016774,2019967,2022914,2025983,2028863,2031699,2034488,2037261,2039993,2042695,2045290,2047838,2050411,2052934,2055360,2057827,2060237,2062556,2064873,2067154,2069455,2071644,2073866,2076053,2078211,2080372,2082510,2084572,2086648,2088634,2090672,
353150,60063,172125,294718,411305,517751,612750,697745,773680,841554,903181,958668,1009579,1056376,1098947,1138642,1175654,1210079,1241769,1271812,1299872,1326284,1351307,1374911,1397235,1418498,1438444,1457494,1475655,1493011,1509629,1525589,1540995,1555532,1569587,1583139,1596221,1608848,1621020,1632609,1643697,1654570,1665264,1675574,1685416,1695145,1704328,1713284,1721912,1730358,1738424,1746538,1754361,1761911,1769074,1776213,1783292,1789966,1796644,1803121,1809331,1815658,1821743,1827620,1833320,1839067,1844660,1850000,1855294,1860571,1865603,1870588,1875433,1880215,1884859,1889315,1893684,1898129,1902469,1906658,1910891,1915148,1919193,1923047,1926989,1930738,1934358,1938085,1941728,1945197,1948658,1952138,1955513,1958826,1962150,1965257,1968440,1971548,1974636,1977625,1980584,1983509,1986276,1989109,1991895,1994650,1997409,2000045,2002696,2005258,2007884,2010418,2013000,2015441,2017900,2020328,2022656,2024957,2027272,2029578,
36386,19751,81098,166037,256510,346051,430443,508696,580382,646894,707927,764006,815490,863469,907952,949364,988579,1025044,1059170,1091290,1121602,1150415,1177700,1203636,1228099,1251359,1273770,1294981,1314942,1334204,1352809,1370499,1387378,1403704,1419425,1434513,1449121,1463197,1476847,1490107,1502776,1514960,1526896,1538466,1549682,1560629,1571409,1581629,1591564,1601090,1610369,1619432,1628296,1636790,1645433,1653666,1661643,1669499,1677206,1684582,1691815,1699033,1705869,1712750,1719407,1725843,1732271,1738454,1744528,1750500,1756297,1761943,1767510,1773055,1778512,1783705,1788893,1794068,1798987,1803828,1808607,1813330,1817898,1822478,1826902,1831292,1835626,1839873,1844006,1848098,1852245,1856172,1860034,1863825,1867564,1871386,1875011,1878673,1882226,1885757,1889239,1892656,1895992,1899280,1902489,1905671,1908836,1911989,1915044,1918115,1921066,1923998,1926901,1929778,1932562,1935388,1938159,1940852,1943579,1946254,
3714,3249,23441,64212,118321,178884,242280,305100,366118,424350,479521,531962,581540,628148,672467,714210,753109,790179,825739,859358,891093,921340,950218,977591,1003997,1029200,1053301,1076646,1099045,1120374,1140689,1160563,1179343,1197912,1215455,1232322,1248904,1264602,1279863,1294701,1308986,1322938,1336358,1349501,1362206,1374591,1386586,1398427,1409844,1420941,1431781,1442209,1452516,1462511,1472288,1481904,1491176,1500224,1509227,1518015,1526676,1534846,1542949,1550802,1558534,1566314,1573678,1581021,1588109,1595052,1601962,1608641,1615286,1621601,1627946,1634114,1640185,1646025,1651887,1657659,1663314,1668837,1674314,1679714,1684953,1690135,1695289,1700360,1705381,1710252,1714959,1719606,1724252,1728805,1733356,1737761,1742143,1746407,1750685,1754817,1758995,1763056,1767124,1771081,1774859,1778630,1782410,1786183,1789972,1793517,1797088,1800615,1804032,1807448,1810880,1814239,1817558,1820714,1823846,1827009,
382,778,8976,31157,65724,108953,157282,208047,258764,309331,358405,405899,451322,494943,537208,576930,614968,651282,686044,719667,751582,782072,811522,839248,866058,891761,916467,940587,963562,985607,1006792,1027459,1047390,1066517,1084942,1102963,1120241,1137059,1153131,1168905,1184224,1199019,1213259,1227246,1241012,1254360,1267257,1279727,1291926,1303786,1315538,1326752,1337633,1348520,1358941,1369329,1379498,1389269,1398805,1408336,1417547,1426387,1435228,1443721,1452018,1460471,1468330,1476164,1483972,1491663,1499246,1506384,1513544,1520429,1527159,1533942,1540540,1547180,1553626,1559944,1566271,1572393,1578304,1584175,1590010,1595715,1601380,1606846,1612253,1617603,1622884,1628071,1633279,1638274,1643320,1648125,1652951,1657554,1662174,1666902,1671451,1676004,1680306,1684607,1688917,1693233,1697420,1701555,1705648,1709690,1713645,1717558,1721426,1725165,1728852,1732434,1735941,1739555,1743161,1746690,
390,108,2403,11245,28677,54066,85554,121308,159598,198848,238744,278735,317963,356219,393947,430305,465533,499678,532502,564285,594788,624612,653145,680417,707184,733045,758045,781870,805107,827592,849268,870324,890995,910927,929805,948431,966387,983777,1000717,1017198,1033233,1048844,1064098,1078847,1093415,1107647,1121417,1134648,1147760,1160386,1172774,1185065,1196716,1208455,1219836,1230712,1241612,1252156,1262479,1272622,1282690,1292367,1301979,1311181,1320288,1329109,1337843,1346400,1355031,1363165,1371356,1379430,1387201,1395027,1402589,1409920,1417150,1424409,1431472,1438281,1444978,1451689,1458334,1464693,1471020,1477411,1483565,1489639,1495788,1501639,1507511,1513198,1518784,1524306,1529703,1535093,1540360,1545629,1550647,1555634,1560691,1565656,1570555,1575472,1580196,1584875,1589485,1594036,1598447,1602912,1607294,1611670,1616061,1620300,1624334,1628410,1632387,1636442,1640442,1644328,
400,5,291,2395,8413,19337,35000,55078,78712,104911,132830,161880,191835,222186,252387,282726,312529,341996,370855,399170,426487,453650,479810,505465,530504,555328,579268,602194,624769,646576,667719,688539,708676,728325,747487,766234,784285,802112,819508,836393,852857,869082,884733,900131,915134,929695,944009,957868,971515,984898,998023,1010940,1023473,1035899,1047904,1059612,1070974,1082214,1093289,1103913,1114444,1124841,1134904,1144940,1154771,1164331,1173951,1183190,1192258,1201098,1209848,1218462,1227003,1235394,1243778,1251960,1259857,1267566,1275252,1282887,1290265,1297665,1304945,1312076,1319016,1325879,1332740,1339449,1346015,1352383,1358789,1365145,1371346,1377523,1383562,1389599,1395407,1401112,1406902,1412466,1418128,1423649,1428974,1434367,1439547,1444887,1450003,1455058,1460093,1465131,1470130,1474998,1479747,1484391,1489013,1493656,1498201,1502677,1507090,1511554,
410,0,11,215,1213,3823,8770,16169,26157,38604,53299,69615,87480,106812,126869,147514,168718,190213,212120,234070,255797,277487,298870,320152,341557,362229,382848,403289,423386,443215,462290,481329,500226,518452,536442,554036,571390,588609,605110,621491,637739,653482,669005,684256,699013,713660,727998,742085,755896,769425,782840,795880,808698,821191,833597,845504,857332,869088,880643,891816,902935,913780,924419,934976,945455,955681,965651,975506,985173,994668,1003995,1013065,1022085,1030925,1039919,1048669,1057156,1065687,1074028,1082310,1090651,1098612,1106470,1114156,1121684,1129180,1136691,1143832,1151018,1158073,1164993,1171815,1178578,1185408,1192031,1198704,1205209,1211680,1218024,1224237,1230324,1236427,1242304,1248267,1254074,1259881,1265519,1271325,1276928,1282459,1288054,1293539,1298939,1304191,1309261,1314457,1319490,1324523,1329497,1334536,
420,0,1,26,199,844,2454,5232,9522,15488,23052,32340,43019,54869,67740,81803,96760,112257,128535,144940,161534,178742,196071,213383,230561,248003,265175,282558,299722,316820,333679,350456,367295,383853,400174,416277,432159,448118,463724,478807,493613,508321,523053,537663,551941,565950,579857,593571,606926,620025,632978,645682,657977,670386,682453,694395,705987,717744,729081,740315,751458,762414,773121,783761,794218,804590,814776,824727,834604,844216,853662,863058,872292,881488,890503,899289,907981,916904,925502,934006,942324,950503,958737,966714,974528,982262,989990,997653,1005158,1012514,1019932,1027035,1034142,1041290,1048313,1055157,1061754,1068382,1075067,1081589,1088171,1094575,1100827,1107228,1113397,1119512,1125493,1131595,1137469,1143302,1149195,1154992,1160827,1166432,1171960,1177396,1182792,1188152,1193590,1198714,
430,0,0,1,16,93,362,999,2258,4189,7166,11050,15874,21644,28382,35871,44305,53527,63445,73844,84712,96218,108098,120095,132621,145287,158306,171663,184987,198383,211786,225188,238928,252362,265806,278993,292386,305648,318859,332179,345070,358171,370851,383788,396479,409106,421544,433908,446099,458124,470093,481834,493413,504910,516441,527726,538833,549788,560787,571680,582042,592698,603053,613103,623018,633092,642988,652689,662360,671862,681118,690250,699460,708563,717526,726381,735094,743621,752057,760466,768813,777257,785544,793701,801778,809789,817792,825519,833166,840636,848012,855248,862671,869746,876907,883961,891024,898041,904894,911563,918138,924804,931454,937956,944281,950678,956954,963200,969367,975462,981507,987486,993264,999169,1005083,1010786,1016578,1022212,1027755,1033383,
440,0,0,0,0,2,15,75,249,577,1139,2069,3384,5191,7464,10214,13551,17379,21753,26700,32193,38051,44432,51193,58400,65945,73935,82280,90558,99089,107767,116948,126152,135441,144890,154514,164357,174076,183946,193819,203633,213579,223568,233595,243758,253794,263741,273826,283920,294056,304047,314011,323754,333508,343388,353061,362708,372140,381613,391138,400698,410005,419153,428309,437338,446340,455192,464182,473055,481831,490470,499049,507803,516322,524672,533033,541405,549513,557609,565674,573583,581701,589294,597111,604866,612490,620113,627774,635114,642513,649727,656995,663940,671058,678137,685209,691969,698695,705495,712161,718840,725283,731803,738260,744662,750960,757312,763525,769651,775856,781870,787868,793803,799814,805620,811352,817075,822747,828472,834164,
450,0,0,0,0,0,0,1,4,27,74,164,297,532,885,1419,2101,2938,4016,5288,6843,8635,10667,12960,15614,18604,21770,25200,28974,32892,36956,41365,45946,50535,55433,60658,66006,71603,77192,82896,88756,94720,101032,107177,113543,120007,126497,133069,139632,146277,153025,159934,166812,173818,180834,187949,194790,201716,208807,215918,223102,230246,237279,244407,251395,258469,265521,272666,279732,286843,293692,300666,307595,314539,321558,328456,335259,342103,348910,355666,362366,369161,375892,382476,389034,395616,402222,408708,415144,421649,428167,434729,441144,447541,453715,460025,466223,472358,478506,484533,490555,496548,502507,508456,514380,520237,526080,531919,537730,543347,549102,554790,560343,565866,571520,576989,582550,588044,593384,598763,
460,0,0,0,0,0,0,0,0,0,0,0,2,5,14,36,71,120,198,295,440,625,901,1236,1601,2080,2657,3230,4007,4879,5806,6867,7968,9251,10652,12177,13818,15541,17384,19236,21382,23515,25704,28089,30555,33185,35920,38659,41543,44513,47544,50710,54002,57299,60705,64066,67553,71112,74800,78582,82382,86203,90102,94167,98193,102209,106306,110251,114592,118750,122906,127107,131382,135776,140156,144535,148870,153383,157839,162320,166818,171193,175653,180084,184621,189164,193650,198151,202900,207422,212001,216440,220927,225688,230152,234699,239239,243867,248410,252956,257489,262085,266759,271374,276032,280606,285162,289830,294338,298805,303318,307766,312258,316711,321120,325614,329964,334429,338794,343233,
470,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,5,6,7,14,23,41,55,84,110,157,214,289,368,462,589,727,916,1113,1332,1583,1837,2160,2532,2966,3430,3911,4439,5033,5640,6315,7045,7801,8632,9457,10335,11306,12283,13291,14362,15495,16607,17835,19131,20489,21809,23282,24732,26159,27651,29232,30874,32551,34358,36178,37931,39678,41549,43515,45577,47639,49665,51653,53727,55839,57958,60221,62549,64793,67008,69274,71605,73827,76258,78605,81008,83514,86030,88503,91049,93630,96213,98716,101288,103966,106664,109407,112122,114737,117339,120097,122820,125436,128127,130864,133586,136478,139199,142030,144966,147900,150688,153514,
480,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,5,7,10,13,22,25,36,42,58,80,100,127,154,185,222,266,318,368,429,493,579,673,749,847,969,1096,1213,1349,1511,1691,1861,2044,2261,2471,2707,2954,3209,3490,3785,4083,4418,4760,5116,5483,5871,6279,6688,7112,7568,8022,8494,8963,9471,9977,10505,11046,11642,12246,12899,13536,14218,14855,15497,16231,16945,17670,18416,19148,19969,20767,21610,22437,23259,24152,25037,25947,26839,27757,28699,29638,30591,31629,32613,33627,34629,35670,36751,
490,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,2,3,3,4,6,9,10,15,17,24,27,30,34,41,44,50,59,71,77,89,98,110,123,137,150,175,191,217,234,259,287,313,335,368,400,432,482,520,556,599,648,695,748,805,868,937,1011,1079,1146,1226,1320,1391,1466,1566,1655,1737,1839,1939,2039,2144,2251,2393,2537,2666,2786,
500,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,4,5,5,7,7,7,8,9,11,11,14,14,15,17,17,17,17,21,21,21,23,25,29,31,
5164338,298756,522050,699432,840340,954570,1049385,1129679,1198802,1258905,1310872,1357775,1399433,1436885,1471140,1502725,1531593,1558110,1582608,1605248,1626527,1646399,1664778,1682272,1699013,1714588,1729411,1743352,1756546,1769141,1781341,1792719,1803669,1814265,1824239,1834021,1843311,1852277,1860825,1869069,1877141,1884677,1892109,1899435,1906308,1913086,1919558,1925837,1931973,1937932,1943707,1949365,1954784,1960074,1965319,1970395,1975228,1979955,1984511,1989060,1993445,1997792,2002020,2006175,2010171,2014060,2017859,2021515,2025245,2028900,2032439,2035808,2039170,2042400,2045595,2048642,2051644,2054630,2057584,2060605,2063486,2066311,2069038,2071793,2074508,2077147,2079641,2082226,2084648,2087049,2089434,2091750,2094035,2096258,2098451,2100687,2102819,2104855,2106948,2108956,2110956,2112963,2114946,2116928,2118829,2120710,2122537,2124345,2126052,2127829,2129536,2131246,2133010,2134657,2136316,2137941,2139593,2141168,2142721,2144238,
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7015514,137846,302269,453393,583523,694691,790094,873045,945988,1009815,1066471,1117385,1163453,1204993,1243188,1278070,1310469,1340294,1368016,1394325,1418461,1441280,1462508,1482693,1501712,1519885,1537009,1553196,1568690,1583266,1597272,1610603,1623313,1635576,1647389,1658554,1669613,1680207,1690273,1699716,1709095,1718139,1726781,1735212,1743565,1751580,1759257,1766618,1773857,1780901,1787586,1794242,1800539,1806946,1813118,1818935,1824664,1830237,1835719,1841002,1846271,1851351,1856392,1861255,1865962,1870596,1875231,1879567,1884043,1888336,1892311,1896342,1900247,1904202,1908005,1911724,1915332,1918982,1922469,1926001,1929457,1932810,1936094,1939297,1942549,1945676,1948694,1951688,1954608,1957448,1960250,1962997,1965742,1968405,1971099,1973709,1976303,1978843,1981372,1983865,1986287,1988701,1991067,1993406,1995742,1997872,2000085,2002259,2004408,2006530,2008510,2010579,2012611,2014643,2016629,2018568,2020475,2022343,2024258,2026059,
714588,71767,192447,319016,435696,540155,632778,715177,788188,853176,911494,964453,1012713,1056681,1097095,1134291,1168857,1201106,1231155,1259311,1285677,1310682,1333956,1355795,1376401,1396132,1414841,1432617,1449279,1465599,1481075,1495822,1509803,1523385,1536550,1549156,1561208,1572848,1584159,1594810,1605179,1615168,1624873,1634333,1643537,1652416,1660882,1669246,1677199,1685012,1692682,1700103,1707265,1714304,1720990,1727546,1734006,1740091,1746240,1752264,1758025,1763796,1769378,1774840,1780131,1785312,1790405,1795274,1800266,1805036,1809639,1814235,1818675,1823056,1827353,1831535,1835730,1839817,1843797,1847743,1851518,1855333,1858945,1862607,1866159,1869735,1873133,1876439,1879763,1883105,1886345,1889490,1892424,1895451,1898378,1901385,1904167,1907005,1909894,1912783,1915570,1918327,1920974,1923625,1926275,1928754,1931280,1933713,1936139,1938564,1940882,1943211,1945484,1947689,1949932,1952089,1954263,1956387,1958524,1960590,
72720,27255,98256,189264,283225,373456,457319,534491,604946,669045,727698,781230,830407,875942,918195,957522,994015,1028243,1060442,1090313,1118506,1145158,1170510,1194399,1216733,1238477,1259106,1278718,1297169,1314925,1332190,1348802,1364453,1379665,1394021,1407849,1421507,1434468,1447106,1459108,1471016,1482051,1492771,1503402,1513617,1523557,1533323,1542750,1551739,1560516,1568941,1577316,1585400,1593280,1600958,1608601,1615856,1623060,1630132,1637054,1643701,1650198,1656501,1662700,1668726,1674697,1680531,1686148,1691575,1697018,1702312,1707445,1712420,1717242,1722197,1726920,1731586,1736151,1740701,1745036,1749361,1753564,1757783,1761817,1765853,1769857,1773820,1777627,1781488,1785204,1788822,1792390,1795971,1799411,1802921,1806350,1809722,1812931,1816281,1819517,1822616,1825709,1828838,1831817,1834786,1837710,1840527,1843362,1846234,1848964,1851682,1854364,1856930,1859484,1862003,1864540,1867032,1869533,1872052,1874463,
7332,5758,33658,83076,144104,209908,276342,340409,401761,459665,513967,564899,612480,657309,699509,738828,776027,811038,844304,875622,905317,933835,960667,986299,1010840,1033923,1056255,1077574,1097995,1117356,1136069,1153990,1171319,1188063,1204164,1219726,1234639,1249202,1262958,1276458,1289524,1302126,1314411,1326201,1337810,1349138,1360129,1370847,1381397,1391175,1400986,1410420,1419746,1428891,1437688,1446313,1454577,1462723,1470608,1478461,1486011,1493493,1500746,1507811,1514843,1521643,1528381,1534865,1541314,1547715,1553838,1559843,1565717,1571369,1577087,1582495,1587791,1593163,1598430,1603627,1608793,1613826,1618700,1623392,1628029,1632554,1637163,1641741,1646303,1650631,1654988,1659175,1663321,1667519,1671439,1675408,1679187,1682995,1686763,1690326,1694057,1697740,1701126,1704639,1708058,1711479,1714804,1718107,1721312,1724637,1727790,1730924,1733986,1737062,1740060,1742956,1745946,1748830,1751636,1754465,
746,1807,15167,44996,87769,137318,190448,244125,297350,348914,398625,445904,490795,533875,574459,613153,649624,684028,717070,748371,778158,806671,834029,860254,885313,909191,932017,954030,974932,995260,1014511,1033126,1051288,1068680,1085511,1101782,1117569,1132559,1147158,1161547,1175244,1188640,1201562,1214192,1226308,1238223,1249868,1261097,1272209,1282813,1293230,1303305,1313311,1322898,1332214,1341264,1350150,1358926,1367434,1375864,1383989,1392043,1399853,1407551,1414869,1422034,1429138,1435988,1443083,1449673,1456370,1462804,1469120,1475381,1481415,1487338,1493323,1499138,1504797,1510348,1515791,1521236,1526530,1531817,1536898,1541853,1546690,1551583,1556377,1561191,1565839,1570434,1574831,1579250,1583616,1587902,1592191,1596259,1600413,1604446,1608243,1612209,1616040,1619843,1623653,1627482,1631214,1634826,1638315,1641832,1645352,1648826,1652265,1655635,1658858,1662061,1665345,1668437,1671535,1674646,
750,363,4998,19458,44390,77159,115624,156870,199016,241637,284023,325273,365208,403814,441182,476729,511380,544522,576171,606422,635694,663941,690817,716685,741652,765630,788657,810913,832389,853055,873079,892277,911158,929135,946528,963371,979610,995416,1010618,1025596,1039993,1053847,1067614,1081037,1094058,1106576,1118903,1130842,1142486,1153856,1164950,1175705,1186145,1196447,1206328,1215859,1225552,1234692,1243766,1252727,1261357,1270080,1278371,1286446,1294472,1302173,1309884,1317492,1324952,1332078,1339125,1346222,1353105,1359886,1366454,1372948,1379444,1385718,1391880,1397911,1403890,1409733,1415439,1421152,1426678,1432122,1437499,1442890,1448080,1453228,1458294,1463297,1468136,1472949,1477524,1482277,1486931,1491443,1495920,1500355,1504674,1508963,1513192,1517399,1521394,1525481,1529538,1533496,1537435,1541285,1545026,1548775,1552427,1556076,1559752,1563305,1566764,1570261,1573659,1577131,
760,35,1037,5835,16496,33723,56182,82733,111973,143096,175319,207982,240320,272742,304553,335615,366657,396449,425662,453378,480424,506768,532146,556942,581039,604321,626919,648640,669708,690037,709719,728956,747490,765752,783405,800569,817218,833501,848973,864463,879312,893759,907709,921528,935031,948145,961024,973506,985368,997253,1008881,1020262,1031040,1041822,1052469,1062908,1073125,1083115,1092684,1102265,1111530,1120679,1129565,1138103,1146773,1155238,1163579,1171735,1179551,1187316,1194885,1202441,1209892,1217167,1224306,1231330,1238240,1244951,1251519,1258123,1264691,1271056,1277428,1283524,1289606,1295542,1301364,1307156,1312845,1318419,1323836,1329261,1334666,1340160,1345297,1350460,1355470,1360536,1365512,1370365,1375011,1379647,1384194,1388751,1393263,1397717,1402129,1406491,1410755,1415016,1419348,1423490,1427565,1431579,1435555,1439436,1443332,1447156,1450996,1454759,
770,0,102,965,3791,9839,19501,32369,48270,66541,86765,108120,130631,154043,177726,201883,225805,249912,273900,297629,320709,343352,365672,387322,408632,429348,449773,469818,489319,508555,527064,545140,563020,580390,597337,614009,630419,646210,661771,676844,691520,705922,720051,733836,747341,760650,773523,786094,798442,810457,822414,834008,845524,856749,867895,878658,888921,899359,909392,919325,928910,938436,947731,956806,965918,974698,983374,991967,1000323,1008450,1016709,1024751,1032631,1040269,1047975,1055539,1062719,1070006,1077136,1084097,1091061,1098154,1104850,1111430,1117928,1124407,1130903,1137188,1143438,1149589,1155457,1161240,1167084,1172867,1178433,1183818,1189193,1194616,1199937,1205221,1210431,1215614,1220654,1225755,1230693,1235454,1240298,1245114,1249841,1254519,1259180,1263730,1268121,1272492,1277013,1281525,1285768,1290042,1294184,1298212,
780,0,12,200,1054,3306,7595,14103,22866,33908,46833,61259,76908,93547,111331,129662,148469,167453,186717,206116,225733,245146,264425,283212,302056,320603,338810,356977,374738,392298,409651,426484,443178,459424,475446,491367,506709,521969,536796,551279,565588,579571,593333,607104,620221,633129,645994,658381,670543,682577,694459,705975,717293,728444,739400,749919,760287,770726,780757,790799,800561,810269,820030,829416,838597,847527,856386,864914,873574,882021,890116,898344,906472,914509,922341,930015,937630,945084,952430,959696,966829,973909,980875,987697,994458,1001115,1007647,1014246,1020702,1026986,1033191,1039250,1045278,1051137,1056996,1062781,1068542,1074120,1079652,1085136,1090532,1095919,1101246,1106497,1111681,1116784,1121915,1126908,1131954,1136803,1141629,1146550,1151262,1156068,1160664,1165332,1169890,1174350,1178742,1183073,
790,0,1,25,185,781,2157,4569,8455,13805,20543,28587,37870,48092,59569,71890,84902,98598,112798,127192,141832,156910,172203,187411,202600,217935,233403,248429,263511,278410,293294,308018,322668,337224,351514,365468,379459,393277,406881,420116,433246,446249,458938,471419,483956,496190,508258,519932,531749,543154,554367,565529,576608,587556,598101,608506,618716,628805,638702,648449,658282,667918,677230,686540,695793,704918,713800,722603,731169,739634,748111,756251,764386,772293,780247,788193,795749,803174,810556,817925,825190,832339,839420,846396,853370,860247,867128,873690,880334,886763,893030,899270,905630,911735,917764,923651,929612,935360,941209,946922,952528,958037,963533,969014,974438,979672,984877,990076,995379,1000407,1005451,1010397,1015209,1020038,1024900,1029708,1034468,1039184,1043784,1048395,
800,0,0,0,15,92,351,912,2021,3800,6346,9778,14203,19283,25187,31828,39104,46907,55368,64546,74122,84218,94541,105078,115986,126843,137968,149282,160751,172402,184033,195634,207211,218733,230258,241870,253458,264659,276263,287506,298939,310081,321028,332023,342889,353712,364368,375029,385635,395971,406159,416253,426285,436271,446042,455686,465287,474591,483989,493260,502363,511389,520176,529016,537703,546308,554745,563082,571333,579540,587623,595632,603471,611073,618847,626463,633859,641357,648557,655799,662938,670042,676916,683984,690902,697646,704167,710681,717301,723640,729910,736287,742562,748782,754917,761044,766945,772941,778797,784502,790061,795686,801344,806895,812436,817869,823238,828701,833839,838900,844107,849281,854347,859364,864229,869090,874083,878767,883542,888111,
810,0,0,0,1,7,30,101,260,589,1141,1997,3171,4799,6855,9460,12391,15707,19705,24109,28906,34010,39568,45426,51714,58244,65087,72036,79144,86537,94179,102028,109928,118034,126118,134395,142739,151141,159378,167686,176106,184790,193186,201684,210300,218848,227305,235726,244065,252335,260825,269172,277543,285746,293873,301983,310139,318274,326163,334110,342040,349848,357642,365469,372877,380554,388015,395379,402783,410164,417402,424655,431858,438981,446044,452929,459735,466556,473514,480135,486738,493141,499614,506058,512580,518918,525275,531462,537501,543530,549621,555647,561507,567413,573210,579030,584783,590434,596024,601560,607158,612668,618045,623521,628992,634435,639815,644967,649999,655125,660226,665264,670275,675155,680043,684824,689575,694294,699044,703714,
820,0,0,0,0,0,0,0,8,28,77,166,316,544,912,1388,2074,2865,3829,5039,6480,8168,10060,12167,14463,17043,19802,22880,26240,29603,33250,37194,41193,45315,49580,53991,58600,63330,68116,72926,77982,83187,88346,93733,99065,104427,109956,115592,121189,126892,132639,138207,143873,149677,155583,161317,167031,172764,178586,184485,190417,196307,202139,207994,213820,219840,225797,231490,237262,243028,248811,254612,260430,266207,271787,277385,283104,288691,294251,299911,305635,310986,316344,321760,327244,332555,338047,343380,348718,353755,358998,364398,369632,374773,379886,384942,389922,394951,399919,404810,409797,414680,419540,424193,429055,433896,438710,443376,448101,452772,457304,461868,466404,470948,475358,479780,484212,488600,492950,497322,
830,0,0,0,0,0,0,0,0,0,0,8,13,37,62,103,177,274,428,650,912,1261,1687,2156,2773,3429,4195,5131,6115,7176,8396,9695,11156,12708,14384,16154,18164,20048,22117,24312,26574,28991,31427,34045,36789,39545,42348,45300,48326,51362,54438,57604,60810,64035,67423,70803,74343,77942,81482,85172,88932,92653,96356,100086,103863,107588,111456,115452,119327,123212,127207,131117,135133,139118,143037,147000,150925,154900,158802,162865,166963,170932,175007,178946,183093,187100,191105,195108,199069,202982,206966,210906,214891,218769,222732,226728,230646,234670,238636,242667,246718,250545,254393,258371,262269,266100,269954,273834,277674,281502,285250,289071,292692,296339,300059,303885,307672,311349,315075,318854,
840,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,6,16,24,40,62,86,138,190,253,319,423,565,699,887,1093,1343,1595,1900,2252,2650,3094,3611,4123,4677,5324,5974,6699,7435,8233,9086,10016,10964,12009,13054,14151,15335,16494,17709,18894,20218,21606,23075,24577,26074,27663,29288,30897,32485,34235,35983,37832,39679,41476,43298,45255,47162,49104,51133,53218,55267,57401,59505,61591,63762,65915,68224,70455,72742,75140,77343,79689,82005,84361,86724,89160,91590,93923,96260,98600,101041,103485,105935,108386,110868,113387,115849,118323,120816,123329,125810,128316,130821,133330,135771,138292,140851,143305,145832,148503,151100,153777,156397,158994,
850,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,6,7,14,22,33,44,57,68,84,115,145,184,215,252,299,357,416,494,565,652,776,888,1032,1177,1341,1518,1723,1911,2094,2300,2549,2811,3089,3400,3703,4019,4369,4749,5095,5454,5879,6317,6751,7200,7693,8166,8662,9216,9746,10315,10903,11493,12132,12725,13403,14096,14745,15450,16164,16887,17631,18390,19154,19945,20802,21642,22465,23294,24237,25217,26154,27105,28020,29016,29977,30939,31876,32876,33873,34877,35927,37004,38080,39121,40227,41375,42520,43629,44775,45958,47081,48211,
860,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,4,4,8,9,9,11,12,12,16,22,28,33,38,44,56,64,74,85,97,108,120,136,154,176,200,223,245,270,301,330,362,403,439,475,520,556,599,648,688,742,798,859,937,999,1086,1167,1242,1329,1405,1492,1581,1679,1792,1904,2014,2123,2241,2374,2491,2627,2766,2902,3071,3213,3373,3533,3691,3850,4029,4196,4387,4589,4767,4938,
8772508,314223,536524,709744,846903,957927,1049752,1127172,1193472,1250933,1301082,1345679,1385457,1421296,1454187,1484007,1511676,1536871,1560069,1581733,1602047,1621028,1638675,1655527,1671423,1686398,1700352,1713765,1726238,1738252,1749750,1760507,1770810,1780973,1790615,1799827,1808718,1817238,1825479,1833303,1840768,1848030,1855169,1862008,1868454,1874934,1881234,1887090,1892942,1898397,1903818,1909211,1914436,1919517,1924357,1929143,1933805,1938204,1942605,1946850,1951057,1955211,1959196,1963050,1966915,1970634,1974119,1977644,1981166,1984548,1987786,1990989,1994271,1997370,2000490,2003403,2006285,2009218,2011921,2014741,2017404,2020087,2022803,2025464,2028024,2030566,2032941,2035217,2037502,2039842,2042099,2044278,2046442,2048560,2050710,2052784,2054869,2056907,2058910,2060906,2062871,2064670,2066553,2068402,2070246,2071934,2073670,2075351,2077067,2078807,2080474,2082065,2083734,2085303,2086875,2088434,2089976,2091472,2092961,2094394,
8817565,145475,311841,462980,592050,701982,796151,877673,949059,1011629,1066495,1116201,1161418,1202099,1239045,1273026,1304505,1333701,1360851,1386188,1409905,1431820,1452595,1472003,1490518,1508051,1524632,1540536,1555355,1569494,1583123,1595987,1608357,1620293,1631743,1642766,1653517,1663826,1673656,1682956,1691859,1700629,1709064,1717262,1725349,1733203,1740538,1747738,1754718,1761488,1768035,1774485,1780751,1786774,1792765,1798521,1804110,1809520,1814766,1820019,1825164,1830046,1834835,1839693,1844229,1848637,1853036,1857329,1861499,1865718,1869709,1873668,1877394,1881175,1884896,1888539,1892049,1895533,1898961,1902266,1905628,1908894,1912139,1915292,1918415,1921396,1924415,1927243,1930049,1932812,1935656,1938380,1941080,1943674,1946296,1948861,1951407,1953894,1956267,1958729,1961115,1963466,1965743,1967963,1970240,1972350,1974452,1976621,1978697,1980751,1982734,1984763,1986806,1988704,1990591,1992499,1994434,1996292,1998139,1999994,
895521,77927,202166,330200,446657,550621,641998,723068,795256,859153,915987,967806,1014870,1057803,1096929,1133138,1166616,1197754,1226836,1254280,1279850,1304043,1326756,1348192,1368385,1387453,1405627,1422854,1439087,1454613,1469645,1484196,1497819,1510882,1523540,1535720,1547445,1558647,1569651,1580109,1590145,1599827,1609094,1618211,1626956,1635483,1643865,1651871,1659547,1667117,1674375,1681502,1688446,1695307,1701885,1708320,1714615,1720582,1726559,1732193,1737817,1743234,1748664,1753900,1759068,1764186,1769154,1773952,1778610,1783199,1787731,1792091,1796407,1800526,1804647,1808715,1812722,1816677,1820606,1824385,1828058,1831614,1835226,1838777,1842259,1845637,1849010,1852351,1855484,1858575,1861716,1864761,1867738,1870714,1873572,1876445,1879331,1882037,1884788,1887513,1890185,1892852,1895420,1897970,1900474,1902913,1905319,1907706,1910027,1912399,1914653,1916903,1919129,1921327,1923512,1925614,1927774,1929867,1931928,1933899,
90966,30958,106702,201020,295850,386446,469686,545617,615095,678039,735826,788127,836530,881261,922589,960765,996106,1029106,1060176,1089501,1116790,1142870,1167082,1190468,1212224,1232982,1252899,1272032,1290035,1307149,1323721,1339678,1354852,1369266,1383338,1396990,1409858,1422506,1434483,1446074,1457385,1468146,1478499,1488529,1498273,1507997,1517384,1526385,1535131,1543559,1551690,1559640,1567554,1575297,1582657,1590139,1597135,1603949,1610776,1617385,1623925,1630125,1636123,1642036,1647829,1653642,1659077,1664518,1669809,1674979,1680077,1685073,1689894,1694720,1699396,1704010,1708655,1713051,1717426,1721727,1725887,1729955,1734128,1738079,1741946,1745723,1749468,1753281,1756889,1760516,1764057,1767537,1771019,1774325,1777685,1780902,1784141,1787372,1790479,1793544,1796568,1799501,1802387,1805335,1808211,1811052,1813770,1816574,1819276,1821947,1824578,1827198,1829708,1832162,1834623,1837090,1839478,1841909,1844269,1846629,
9152,7332,38989,92560,156918,224298,291639,356099,417527,475205,528709,578962,625684,669800,711148,749426,785675,819911,852167,882586,911416,938857,964661,989509,1013048,1035573,1057019,1077473,1097178,1115834,1133849,1151320,1168154,1184322,1199714,1214543,1228958,1242869,1256309,1269200,1281798,1294130,1305779,1317216,1328219,1339090,1349458,1359568,1369433,1378964,1388241,1397508,1406367,1414946,1423296,1431570,1439625,1447365,1454926,1462383,1469561,1476670,1483668,1490543,1497352,1503809,1510096,1516229,1522418,1528323,1534196,1539977,1545620,1551213,1556568,1561928,1567073,1572132,1577177,1582158,1587054,1591852,1596432,1601078,1605520,1610025,1614442,1618729,1622970,1626976,1631126,1635236,1639271,1643112,1646950,1650708,1654486,1658110,1661664,1665310,1668886,1672329,1675683,1679116,1682426,1685761,1689017,1692304,1695371,1698509,1701538,1704552,1707471,1710429,1713332,1716284,1719051,1721880,1724627,1727301,
928,2539,18773,52174,98184,150292,205757,260853,314661,366390,415882,463035,507745,550191,589918,627968,663773,697494,729510,760124,789390,817093,843474,868683,892651,915758,937877,958977,979535,998897,1017515,1035350,1052761,1069583,1085789,1101479,1116677,1131094,1145072,1158599,1171681,1184816,1197364,1209404,1221218,1232519,1243631,1254495,1264960,1275021,1284996,1294749,1304210,1313553,1322340,1331082,1339784,1348296,1356497,1364514,1372356,1379744,1387011,1394322,1401427,1408293,1415195,1421669,1428376,1434786,1441150,1447411,1453332,1459247,1465200,1470804,1476488,1482100,1487431,1492745,1497921,1503106,1508150,1513115,1517884,1522584,1527297,1531952,1536556,1541098,1545539,1549875,1554174,1558343,1562585,1566581,1570552,1574611,1578558,1582349,1585931,1589682,1593423,1597036,1600701,1604264,1607812,1611324,1614708,1618053,1621366,1624690,1627842,1631117,1634261,1637340,1640454,1643366,1646352,1649255,
930,597,6869,24273,52393,88410,129170,172263,216214,260150,303410,345108,385172,423974,461197,496693,530945,563408,594457,624246,653068,680607,706701,731636,756040,779278,801491,822881,843529,863291,882428,900854,918988,936107,952963,969128,984777,999918,1014556,1028733,1042443,1055880,1068871,1081557,1094037,1106034,1117744,1129102,1140297,1151404,1161941,1172207,1182312,1192051,1201483,1210794,1219950,1228728,1237311,1245769,1253960,1261975,1269942,1277803,1285537,1292859,1300185,1307500,1314503,1321467,1328239,1334847,1341476,1347795,1354091,1360312,1366343,1372251,1378017,1383804,1389425,1394990,1400463,1405902,1411159,1416276,1421276,1426502,1431307,1436250,1441015,1445777,1450466,1455037,1459543,1464066,1468431,1472744,1477017,1481218,1485199,1489271,1493322,1497178,1500976,1504849,1508595,1512354,1516021,1519625,1523333,1527015,1530416,1533825,1537215,1540740,1544079,1547383,1550670,1553924,
940,69,1668,8089,21418,41361,66728,95818,127328,160401,194094,228043,261854,294765,327212,358832,389378,419212,448132,476206,502902,528648,553589,577520,601092,623551,645502,666524,687127,707066,725906,744397,762302,779987,797099,813312,829435,845080,860139,874856,889211,903181,916749,930087,942811,955256,967386,979393,990863,1002176,1013240,1024007,1034470,1044907,1055230,1065085,1074827,1084305,1093486,1102559,1111285,1120083,1128510,1136866,1144864,1152735,1160535,1168133,1175645,1183182,1190446,1197535,1204635,1211590,1218392,1225035,1231592,1238024,1244468,1250671,1256831,1262840,1268744,1274528,1280237,1285934,1291376,1296821,1302079,1307506,1312688,1317819,1322882,1327934,1332893,1337744,1342502,1347149,1351815,1356439,1360876,1365279,1369713,1374014,1378234,1382479,1386575,1390688,1394721,1398730,1402763,1406739,1410646,1414355,1418193,1421981,1425676,1429312,1432791,1436401,
950,7,183,1612,5748,13703,25593,41084,59391,80036,102296,125870,150221,175015,200196,225184,250071,274758,299093,323343,346730,369305,391646,413439,434890,455697,476078,496166,515407,534107,552265,570098,587639,604569,620956,637162,652923,668412,683358,697878,712138,725873,739470,752959,766054,778611,790920,803148,814946,826421,837782,848944,859797,870286,881036,891252,901255,911064,920577,929992,939150,948240,957190,966132,974580,983073,991404,999412,1007329,1015254,1022928,1030460,1037809,1045153,1052312,1059469,1066370,1073311,1080067,1086683,1093293,1099739,1106166,1112463,1118632,1124582,1130642,1136626,1142318,1148143,1153790,1159197,1164695,1170066,1175366,1180638,1185807,1190855,1195860,1200782,1205625,1210426,1215085,1219738,1224538,1229111,1233624,1237936,1242313,1246757,1251223,1255487,1259758,1263873,1267977,1272208,1276152,1280105,1284063,1287902,
960,0,34,396,1845,5206,11140,19832,30745,44156,59277,75862,93686,112470,131970,151804,171707,192201,212440,232581,252563,272744,292348,311637,330651,349493,368013,385990,403797,421372,438211,455084,471720,488067,503734,519373,534440,549546,564151,578123,592061,605825,619344,632633,645277,657874,670072,682044,693764,705582,717004,728121,738932,749543,760134,770443,780385,790136,799921,809336,818868,827996,837064,845956,854559,863101,871581,879825,888049,896051,903759,911377,918906,926421,933767,941156,948380,955272,962180,969055,975790,982654,989347,995785,1002012,1008311,1014544,1020706,1026733,1032554,1038544,1044422,1049951,1055447,1061032,1066486,1071836,1077148,1082299,1087576,1092520,1097697,1102715,1107662,1112548,1117362,1122129,1126815,1131383,1136029,1140470,1144928,1149419,1153793,1158261,1162421,1166607,1170800,1175009,1179070,
970,0,4,56,366,1461,3618,7367,12725,20043,28647,38642,49990,62553,75711,90062,104647,120043,135499,151065,166928,183117,199520,215675,231543,247532,263477,279183,294593,309935,325139,340197,355000,369511,383747,397763,411568,425418,438858,452107,465243,477963,490464,502942,515327,527309,539014,550696,562018,573015,583862,594639,605177,615722,625908,636178,646148,655987,665717,675250,684526,693588,702611,711576,720224,728694,737114,745430,753745,761805,769805,777618,785368,793067,800472,807947,815168,822293,829475,836363,843138,849965,856480,863245,869693,876119,882585,888781,894942,900908,906988,912803,918782,924471,930121,935928,941558,947099,952578,957944,963218,968442,973751,978897,983980,989053,993904,998739,1003715,1008562,1013284,1017908,1022501,1026947,1031602,1036074,1040519,1044849,1049221,1053598,
980,0,0,4,42,229,786,1853,3756,6518,10246,15017,20751,27574,35333,43701,52918,62668,72874,83663,94709,106117,117806,129524,141507,153649,165972,178478,190735,203160,215506,227768,240071,252341,264577,276717,288520,300366,311954,323561,334908,346185,357527,368486,379329,390248,400954,411605,422079,432513,442718,452566,462516,472331,481933,491458,501002,510306,519391,528457,537439,546353,555056,563638,572274,580587,588775,596853,604772,612647,620394,628136,635737,643314,650766,658150,665348,672510,679351,686232,693052,699837,706480,713153,719673,726165,732515,738760,745034,751089,757042,763118,768910,774806,780593,786298,791806,797381,802934,808371,813808,819141,824323,829447,834654,839818,844920,849791,854674,859484,864335,869156,873848,878625,883380,888097,892622,897101,901677,906107,
990,0,0,0,0,18,82,234,591,1264,2344,3946,5922,8639,11707,15410,19669,24539,29873,35631,41710,48273,55177,62532,70138,78052,86215,94402,102882,111418,120202,128984,138007,147118,156314,165435,174587,183582,192758,201779,210932,220281,229542,238617,247665,256626,265606,274379,283285,292046,300689,309423,318005,326576,335111,343475,351765,359915,367977,376082,384123,391977,399695,407368,415022,422627,429953,437341,444627,451728,458978,466258,473396,480184,487152,493835,500600,507202,514018,520516,527026,533453,539790,546111,552354,558525,564595,570745,576684,582641,588623,594381,600154,605853,611417,616920,622428,627946,633215,638595,643887,649237,654467,659576,664720,669879,674984,680072,684916,689828,694580,699334,704140,708785,713416,718043,722477,727046,731475,735840,
1000,0,0,0,0,0,3,10,40,103,231,473,874,1451,2210,3214,4447,5958,7682,9810,12192,14880,17807,20957,24525,28334,32274,36448,40850,45369,50050,54960,60168,65459,71027,76753,82364,88227,93947,99996,106065,112059,118311,124485,130805,137121,143428,149859,156113,162379,168739,174967,181488,187971,194387,200718,207015,213558,219864,226321,232622,238969,245238,251434,257539,263593,269665,275657,281728,287810,293802,299806,305675,311551,317358,323242,329147,335022,340771,346463,352145,357735,363366,368912,374352,379785,385095,390375,395784,401075,406431,411748,416981,421997,427067,432140,437229,442234,447373,452223,457056,461839,466545,471314,476049,480723,485412,489874,494489,499037,503541,508031,512526,517033,521406,525902,530254,534609,538807,543063,
1010,0,0,0,0,0,0,0,2,5,10,32,79,136,249,423,650,988,1384,1911,2541,3304,4112,5103,6259,7560,8951,10559,12227,14141,16194,18401,20642,23025,25649,28345,31200,34216,37232,40332,43628,47014,50490,54040,57652,61424,65166,69000,72940,76846,80896,84967,88953,93070,97254,101568,105925,110149,114469,118847,123158,127582,132140,136453,140808,145124,149670,154101,158677,163106,167558,171901,176337,180826,185361,189903,194453,198852,203342,207860,212257,216739,221199,225593,229960,234347,238730,243052,247389,251703,255983,260181,264426,268627,272818,277006,281170,285213,289477,293629,297657,301750,305888,309900,314041,318078,322078,326074,330062,333839,337827,341752,345584,349617,353427,357405,361304,365115,368781,372412,
1020,0,0,0,0,0,0,0,0,0,0,0,1,3,5,9,25,50,75,125,186,266,378,519,682,902,1174,1479,1817,2229,2662,3216,3835,4451,5166,5945,6748,7717,8651,9668,10781,11921,13161,14456,15817,17251,18780,20344,21984,23678,25351,27069,28929,30794,32758,34789,36815,38901,41057,43222,45452,47708,50042,52390,54770,57111,59605,62101,64540,67001,69539,72046,74677,77309,80002,82678,85379,88101,90809,93615,96385,99196,102005,104709,107554,110364,113353,116217,119068,121830,124715,127549,130367,133194,136081,138948,141813,144655,147549,150421,153209,156089,159021,161914,164787,167655,170579,173464,176272,179143,181907,184800,187745,190674,193520,196375,199177,202012,204869,207771,
1030,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,6,10,19,29,41,63,83,105,139,175,218,267,339,416,501,608,732,863,1020,1187,1385,1624,1832,2095,2352,2682,3004,3369,3742,4117,4566,4992,5454,5955,6460,7064,7617,8200,8829,9515,10217,10955,11687,12423,13174,13982,14792,15618,16477,17377,18246,19207,20145,21076,22053,23034,24050,25138,26242,27326,28438,29552,30751,31870,33066,34223,35458,36761,38051,39277,40577,41875,43181,44536,45937,47299,48636,50067,51489,52933,54402,55833,57285,58769,60238,61732,63213,64734,66295,67776,69291,70874,72405,73968,75545,77117,78700,
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10977,8842,44341,101656,168292,237829,305896,370919,432126,489482,542407,591815,637773,680762,721058,758944,794421,827736,859135,888778,916886,943415,968790,992845,1015636,1037396,1058265,1077981,1097239,1115441,1132621,1149459,1165668,1181201,1196125,1210478,1224423,1237769,1250506,1263181,1275282,1287054,1298353,1309410,1320103,1330517,1340687,1350436,1360020,1369245,1378249,1387164,1395731,1404071,1412146,1420136,1427729,1435215,1442512,1449727,1456634,1463471,1470182,1476772,1483143,1489398,1495422,1501405,1507358,1513111,1518842,1524351,1529797,1535054,1540272,1545415,1550520,1555382,1560245,1564991,1569529,1574142,1578616,1583065,1587402,1591645,1595942,1600140,1604133,1608165,1612057,1615876,1619745,1623604,1627249,1630897,1634395,1637981,1641465,1644974,1648334,1651689,1654939,1658186,1661288,1664543,1667641,1670745,1673709,1676639,1679599,1682452,1685342,1688144,1690917,1693733,1696471,1699119,1701779,1704370,
11013,3342,22261,59623,108940,163530,220370,276238,330671,382428,431945,479187,523214,564819,604171,641227,676228,709078,740355,770087,798460,825530,851093,875473,898900,921646,942943,963539,983282,1002045,1019907,1037385,1054211,1070469,1086051,1101253,1115764,1129719,1143281,1156444,1169310,1181714,1193918,1205586,1216921,1227851,1238505,1248930,1258936,1268748,1278340,1287519,1296458,1305431,1313997,1322273,1330644,1338964,1346691,1354385,1361731,1368894,1376041,1383036,1389735,1396338,1402845,1409262,1415621,1421792,1427927,1434017,1439759,1445348,1450987,1456528,1461901,1467268,1472393,1477520,1482529,1487451,1492354,1497180,1501915,1506507,1510988,1515496,1519809,1524049,1528209,1532409,1536589,1540702,1544550,1548351,1552318,1556099,1559944,1563553,1567010,1570560,1574106,1577533,1580965,1584345,1587726,1590996,1594233,1597401,1600639,1603778,1606875,1609905,1612942,1615932,1618881,1621764,1624673,1627499,
1112,824,8876,29089,60405,99235,142226,187293,232247,277065,320814,362840,402884,441574,478704,513762,547489,579608,610276,639576,667617,694367,719920,744197,767819,790712,812419,833127,853283,872580,891100,909040,926568,943183,959397,975224,990446,1005120,1018978,1032782,1045938,1058681,1071286,1083459,1095386,1106778,1117961,1128915,1139470,1149998,1160090,1169987,1179540,1188856,1198151,1207185,1215945,1224363,1232670,1240793,1248890,1256631,1264235,1271649,1278970,1286141,1293089,1299860,1306617,1313415,1319756,1326306,1332536,1338659,1344688,1350568,1356400,1362060,1367550,1372992,1378423,1383723,1388958,1394003,1398987,1403853,1408648,1413542,1418199,1422839,1427420,1432038,1436467,1440798,1445156,1449415,1453589,1457787,1461891,1465915,1469774,1473721,1477584,1481330,1485071,1488643,1492210,1495765,1499279,1502678,1506140,1509488,1512844,1516117,1519420,1522619,1525817,1528981,1532034,1535131,
1120,118,2278,10446,26291,48970,76862,108745,142574,177102,212069,246764,281295,314660,347306,378949,409689,439260,467937,495480,521870,547321,571902,595773,618684,640723,661988,682629,702722,721990,740530,758589,776115,793099,809504,825440,841017,855850,870305,884513,898266,911695,924927,937636,950171,962094,973803,985336,996443,1007346,1018124,1028476,1038734,1048611,1058207,1067709,1077028,1086039,1095020,1103789,1112065,1120407,1128514,1136312,1144102,1151673,1159148,1166487,1173770,1180768,1187754,1194519,1201201,1207784,1214205,1220598,1226825,1232795,1238785,1244718,1250610,1256285,1261925,1267549,1273063,1278350,1283644,1288827,1293863,1298847,1303784,1308644,1313522,1318280,1322917,1327573,1332127,1336624,1341117,1345412,1349663,1353944,1358065,1362081,1366167,1370204,1374156,1378177,1381980,1385743,1389548,1393227,1396953,1400573,1404174,1407673,1411247,1414705,1418071,1421411,
1130,5,337,2426,8023,18042,32213,50179,70926,93551,117826,142975,168552,194349,220265,246273,271652,296861,321444,345505,369098,392043,414415,435863,457003,477312,497384,517191,536144,554564,572627,590215,607346,623980,640339,656158,671373,686317,700967,715198,728817,742210,755549,768377,780986,793276,805058,816741,828196,839400,850484,861241,871569,881899,892090,901913,911474,920858,930087,939059,947854,956401,964908,973266,981460,989412,997290,1004912,1012437,1020057,1027381,1034673,1041645,1048736,1055550,1062359,1068914,1075494,1081918,1088212,1094546,1100700,1106711,1112619,1118481,1124100,1129797,1135407,1140960,1146451,1151739,1157024,1162147,1167277,1172399,1177448,1182410,1187225,1191975,1196723,1201262,1205755,1210281,1214780,1219232,1223575,1227948,1232135,1236377,1240563,1244777,1248963,1252993,1256898,1260740,1264666,1268517,1272249,1275992,1279601,
1140,1,64,681,2875,7742,15455,26069,39342,54783,71965,90701,110294,130513,151310,172335,193568,214828,235803,256849,277363,297614,317711,337238,356516,375421,394114,412336,430100,447586,464502,481255,497668,513532,528707,543777,558547,573072,587121,600939,614348,627665,640713,653436,665784,677865,689816,701528,713006,723985,735065,745860,756439,766690,776807,786688,796228,805720,815088,824232,833333,842070,850916,859365,867811,875917,883998,891899,899893,907515,914932,922422,929568,936784,943704,950739,957616,964465,971084,977655,984069,990521,996864,1002996,1009134,1015140,1020988,1026770,1032459,1038134,1043621,1049065,1054310,1059583,1064780,1070005,1075158,1080148,1085025,1089838,1094660,1099369,1104139,1108832,1113452,1118023,1122549,1127003,1131377,1135721,1139930,1144274,1148518,1152806,1156944,1160959,1164967,1168975,1172942,1176754,
1150,0,4,112,705,2437,5697,10858,17982,26954,37619,49646,62753,76946,91997,107679,123893,140546,157188,174144,190959,207822,224547,241359,257713,274031,290321,306441,322193,337637,352865,368100,382994,397390,411578,425572,439438,453160,466385,479510,492294,504687,517082,529305,541387,553136,564642,575936,587128,597957,608728,619174,629392,639533,649318,659279,668850,678393,687670,696674,705682,714579,723123,731822,740189,748406,756527,764521,772392,780280,787943,795325,802721,809968,817238,824426,831424,838078,844598,851252,857674,864206,870656,876993,883287,889337,895482,901639,907601,913434,919252,924868,930581,935953,941427,946826,952128,957310,962530,967572,972707,977615,982685,987660,992361,997115,1001765,1006281,1010889,1015384,1020021,1024504,1028882,1033119,1037338,1041602,1045722,1049982,1054090,1058201,
1160,0,0,9,96,487,1411,3178,6000,10030,15080,21446,28859,37295,46542,56358,66967,78175,89781,102028,114616,127177,139930,152725,165900,178963,192067,205165,218105,230932,243771,256641,269343,282105,294566,306883,319019,330914,342690,354451,365907,377381,388798,399694,410656,421545,432061,442433,452879,463016,473109,483120,492564,502275,511692,520990,530608,539500,548461,557322,565967,574518,583063,591353,599416,607563,615611,623369,631209,638810,646432,653914,661117,668509,675683,682724,689712,696492,703278,709995,716589,723133,729523,735948,742201,748419,754453,760517,766404,772209,777888,783642,789212,794811,800316,805652,810973,816255,821562,826797,831781,836840,841895,846877,851833,856746,861527,866359,871051,875622,880241,884775,889287,893762,898135,902677,906984,911240,915487,919523,
1170,0,0,0,5,46,174,549,1266,2472,4239,6535,9550,13255,17571,22672,28293,34483,41166,48458,56075,64163,72499,80981,89904,98867,108046,117270,126571,136033,145762,155634,165237,174770,184415,194321,203986,213526,223145,232863,242616,252274,261757,271104,280368,289739,298808,307871,317026,325989,334987,343623,352225,360920,369421,377920,386043,394175,402385,410459,418470,426380,434207,441795,449461,456804,464124,471494,478794,485936,493090,500179,507171,514041,520820,527349,533978,540586,547096,553535,559812,566024,572116,578195,584401,590389,596255,602032,607823,613575,619248,624798,630416,635887,641368,646746,651997,657194,662266,667428,672560,677690,682549,687518,692409,697227,701934,706781,711448,716120,720634,725212,729706,734276,738821,743243,747730,752004,756162,760425,
1180,0,0,0,0,1,7,40,109,277,587,1090,1796,2794,4138,5699,7715,10002,12592,15667,19217,22838,26874,31170,35658,40549,45616,50902,56306,62012,67789,73789,80012,86169,92519,98857,105509,112207,118770,125433,132134,139077,146024,152862,159890,166785,173731,180623,187345,194184,201051,207771,214741,221650,228485,235191,241777,248546,255116,261796,268297,274730,281286,287651,294006,300446,306739,312938,319196,325322,331387,337472,343491,349530,355526,361497,367455,373210,378876,384673,390349,396073,401619,407152,412440,417806,423244,428596,433839,439145,444332,449558,454719,459676,464767,469730,474796,479719,484645,489502,494168,498873,503593,508413,513087,517776,522316,526819,531293,535797,540222,544590,548873,553196,557489,561681,565939,570113,574401,578564,
1190,0,0,0,0,0,0,0,0,23,61,124,226,375,619,983,1450,2076,2767,3676,4788,6010,7491,9089,10856,12841,15035,17384,19920,22579,25397,28429,31656,34887,38354,41874,45646,49429,53384,57498,61562,65752,70107,74437,78788,83240,87835,92468,97030,101800,106483,111249,116006,120784,125618,130431,135293,140155,145112,149936,154800,159674,164498,169401,174236,179058,183979,188797,193675,198485,203280,208093,212828,217604,222353,227224,231905,236621,241301,245940,250582,255295,259931,264502,269024,273641,278177,282711,287179,291669,296056,300473,304889,309226,313626,317958,322367,326622,330872,335137,339299,343448,347546,351687,355975,360028,363986,368012,372055,375955,380070,384028,387923,391678,395424,399112,402980,406716,410511,414245,
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1294,1116,10722,33834,67874,109501,154309,200923,247404,292792,336653,378712,419085,457165,493937,528582,561496,593174,623356,652107,679376,705493,730667,754502,777335,799481,820662,840902,860692,879312,897318,914478,931495,947897,963503,978606,993276,1007464,1021228,1034380,1047239,1059507,1071608,1083382,1094965,1106287,1117302,1127770,1138204,1148212,1158090,1167636,1176928,1186197,1194866,1203404,1211746,1219854,1227809,1235595,1243348,1250847,1258160,1265186,1272252,1279081,1285932,1292530,1298907,1305210,1311556,1317715,1323812,1329588,1335314,1340932,1346419,1351897,1357305,1362690,1367911,1373018,1377990,1382926,1387725,1392428,1397123,1401704,1406162,1410581,1415000,1419382,1423685,1427907,1432014,1436148,1440210,1444164,1447938,1451826,1455625,1459335,1463075,1466683,1470208,1473780,1477289,1480775,1484182,1487606,1490868,1494146,1497450,1500661,1503796,1506821,1509792,1512806,1515820,1518779,
1300,186,3187,13058,31345,56973,87328,120740,156131,191766,227689,263528,298626,332260,364756,396369,427196,456873,485246,512572,538890,563832,588211,611461,633960,655557,676272,696376,716030,734795,752836,770309,787237,803808,819635,835074,850191,864661,878663,892363,905899,918829,931416,943625,955570,967072,978561,989621,1000224,1010598,1020827,1030995,1040778,1050409,1059834,1068724,1077650,1086330,1094806,1103225,1111460,1119509,1127230,1134954,1142366,1149709,1156921,1163950,1170733,1177497,1184194,1190881,1197324,1203700,1209767,1215898,1221850,1227799,1233655,1239357,1245080,1250496,1255846,1261217,1266580,1271757,1276820,1281811,1286609,1291402,1296202,1300876,1305467,1309978,1314480,1318945,1323231,1327543,1331831,1335952,1340090,1344227,1348208,1352085,1355961,1359837,1363651,1367389,1371146,1374765,1378396,1382017,1385587,1389059,1392582,1395977,1399236,1402553,1405855,1409007,
1310,12,528,3506,10460,22486,38779,58915,81668,106315,132127,158813,185637,212581,239657,265823,291740,317170,342242,366282,389922,412645,435107,456957,477795,498316,518120,537548,556140,574171,591655,608726,625269,641547,657249,672567,687495,702124,716271,730052,743254,756286,769331,781812,793806,805701,816969,828449,839531,850472,861017,871234,881386,891162,900863,910286,919419,928616,937472,946083,954582,962835,970900,978910,986750,994440,1002021,1009470,1016597,1023881,1030985,1038146,1044896,1051679,1058251,1064730,1070889,1077114,1083510,1089691,1095597,1101344,1107196,1112770,1118424,1123880,1129309,1134742,1139980,1145146,1150367,1155306,1160192,1164952,1169800,1174647,1179346,1184003,1188559,1193125,1197448,1201769,1206200,1210413,1214516,1218675,1222895,1226956,1230987,1234947,1238872,1242830,1246694,1250621,1254220,1257954,1261622,1265332,1268885,1272336,
1320,0,110,1038,4145,10406,19889,32488,47887,65275,84452,104729,125747,147527,169100,191092,213415,235440,256992,278200,299051,319547,339840,359509,378865,397810,416293,434481,452221,469590,486163,502659,518622,534071,549487,564313,578794,593298,607047,620551,633777,646620,659187,671761,683862,695720,707316,718647,729778,740469,751129,761590,771613,781564,791495,801015,810135,819247,828309,837107,845792,854403,862849,871049,879232,887132,894743,902214,909838,917127,924394,931530,938427,945404,952120,958878,965381,971826,978091,984301,990512,996611,1002651,1008642,1014465,1020285,1025982,1031591,1036993,1042286,1047573,1052951,1058115,1063153,1068072,1073020,1077946,1082624,1087445,1092075,1096732,1101268,1105855,1110387,1114789,1119147,1123386,1127679,1131842,1135991,1140063,1144082,1148127,1152161,1156077,1159977,1163796,1167468,1171264,1174884,
1330,0,11,251,1251,3742,8093,14630,23278,33936,46272,59877,74596,90246,106763,123762,141133,158923,176593,194099,211697,229199,246540,263942,280668,297339,313946,330049,345795,361287,376670,391543,406523,421048,435487,449441,463097,476580,489843,502615,515283,527683,539956,552173,563882,575420,586440,597472,608330,618944,629267,639469,649595,659372,669037,678571,687970,697152,706277,715079,723797,732302,740633,748877,757017,765061,772875,780611,788272,795854,803163,810348,817557,824631,831513,838336,845126,851552,857991,864267,870616,876785,882826,888889,894896,900874,906700,912357,917932,923492,929043,934489,939951,945154,950375,955575,960680,965718,970601,975313,980162,984814,989540,994213,998729,1003327,1007814,1012106,1016494,1020930,1025334,1029472,1033646,1037747,1041771,1045803,1049827,1053862,1057678,1061568,
1340,0,0,18,193,848,2306,4910,8788,14066,20654,28406,37120,47090,57673,69025,81031,93603,106441,119647,133266,146798,160526,174226,187843,201774,215391,228884,242452,255818,269118,282172,295212,308045,320803,333251,345697,357824,369805,381472,392967,404299,415564,426618,437389,448222,458734,469246,479434,489559,499450,509371,518784,528291,537650,546950,556025,565002,573855,582449,590969,599174,607467,615691,623684,631562,639325,646993,654456,661812,669217,676374,683421,690320,697099,703924,710408,716870,723328,729767,736060,742372,748691,754824,760772,766690,772517,778378,784177,789735,795202,800657,806009,811492,816835,822056,827082,832113,837244,842165,847013,851825,856695,861468,866201,870891,875559,880132,884610,888962,893480,897840,902113,906394,910582,914797,918970,923045,927058,930993,
1350,0,0,0,15,107,387,1017,2166,3999,6550,9813,13913,18747,24271,30550,37495,44799,52793,61262,69985,79084,88416,98065,107769,117482,127457,137583,147828,158273,168567,178834,189205,199407,209556,219783,229815,239745,249770,259705,269518,279464,289180,298786,308289,317686,326934,336266,345398,354437,363314,372268,381145,389695,398149,406612,414937,423013,431140,439288,447239,455043,462744,470210,477707,485063,492296,499533,506644,513657,520529,527435,534112,540954,547566,554045,560490,566951,573295,579598,585698,591784,597855,603774,609675,615431,621148,626988,632634,638214,643779,649063,654648,659796,665162,670312,675472,680447,685534,690574,695569,700408,705232,709943,714770,719422,724103,728692,733176,737544,742079,746447,750875,755186,759591,763838,767955,771999,776159,780130,
1360,0,0,0,0,6,21,92,254,572,1119,1957,3151,4717,6740,9106,11924,15066,18670,22579,26971,31702,36618,41992,47544,53369,59369,65732,72273,78859,85572,92332,99365,106292,113401,120665,127910,135147,142378,149583,156832,164315,171673,178867,186229,193463,200765,208035,215154,222540,229659,236892,244051,251152,258321,265341,272234,279117,285883,292634,299324,305846,312585,319126,325540,332027,338488,344812,351108,357268,363445,369562,375705,381644,387563,393430,399298,405177,410961,416692,422354,427878,433395,438968,444287,449654,455067,460327,465481,470728,475722,480880,485925,490915,495955,500861,505702,510554,515397,520167,524883,529450,533999,538562,543226,547764,552270,556731,561083,565275,569523,573692,577948,582044,586282,590437,594603,598567,602587,606565,
1370,0,0,0,0,0,0,3,22,56,121,255,496,821,1283,1948,2733,3692,4909,6392,8054,9952,12120,14439,16998,19702,22530,25744,29116,32711,36387,40195,44138,48301,52450,56842,61365,65801,70532,75252,80065,84971,89992,94936,99885,104945,110157,115397,120802,126118,131250,136412,141636,146814,152027,157206,162498,167798,173026,178278,183396,188694,193880,199129,204350,209595,214748,219944,225051,230119,235186,240135,245174,250161,255247,260132,265184,270125,275015,279933,284611,289373,294232,298823,303496,308138,312863,317551,322120,326614,331146,335550,339993,344311,348632,353120,357476,361785,366027,370228,374300,378470,382710,386770,390853,394971,399046,402981,407116,411085,415116,418953,422839,426759,430628,434354,438086,441803,445528,449223,
1380,0,0,0,0,0,0,0,0,0,3,9,25,47,95,174,277,418,623,893,1184,1618,2091,2694,3350,4119,4950,5956,7026,8219,9470,10798,12290,13926,15642,17520,19437,21379,23399,25588,27797,30129,32612,35024,37565,40228,42949,45734,48593,51403,54298,57152,60157,63271,66348,69428,72663,76009,79300,82555,85832,89143,92467,95879,99380,102669,106068,109472,113001,116486,120006,123550,127072,130541,134069,137607,141119,144573,148093,151608,155224,158709,162181,165654,169203,172720,176189,179744,183185,186504,189949,193345,196714,200139,203590,207064,210393,213769,217079,220488,223931,227389,230697,234055,237447,240850,244096,247330,250597,253818,257073,260313,263508,266711,269901,273058,276238,279326,282453,285551,
1390,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,9,15,31,46,66,101,146,200,274,371,471,621,774,938,1139,1389,1656,1990,2340,2749,3161,3631,4121,4688,5273,5935,6605,7332,8053,8848,9710,10637,11580,12531,13576,14623,15720,16882,18067,19299,20489,21820,23156,24496,25886,27265,28694,30198,31708,33199,34759,36359,37930,39539,41161,42860,44595,46292,48056,49841,51683,53471,55281,57045,58866,60725,62554,64499,66448,68372,70432,72417,74306,76368,78403,80385,82347,84386,86393,88399,90414,92509,94571,96638,98772,100833,102989,105022,107104,109234,111416,113552,115683,117738,119812,122006,124170,126232,128311,130448,132596,134681,136790,
1400,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,5,11,14,17,21,28,44,61,79,103,123,148,181,217,264,311,357,413,487,555,621,717,800,894,992,1107,1244,1376,1523,1682,1876,2057,2272,2507,2699,2948,3173,3400,3673,3972,4280,4603,4921,5277,5585,5938,6300,6643,7034,7478,7893,8357,8791,9236,9714,10234,10677,11198,11724,12238,12777,13314,13925,14495,15057,15660,16269,16914,17566,18182,18783,19410,20100,20771,21443,22164,22864,23588,24300,25069,25814,26548,27294,28083,28920,29737,30566,31359,32200,32991,33815,
14183841,334536,554326,722792,854578,960823,1048501,1122045,1185193,1239402,1286798,1329001,1366821,1400761,1431605,1460027,1486162,1509880,1531953,1552358,1571467,1589390,1605859,1621647,1636691,1650732,1663839,1676362,1688193,1699379,1710300,1720441,1730371,1739895,1748812,1757385,1765940,1774035,1781786,1789174,1796120,1803048,1809675,1816174,1822439,1828578,1834493,1840129,1845643,1850910,1856137,1861161,1866103,1870867,1875415,1879866,1884223,1888473,1892649,1896649,1900639,1904515,1908357,1912060,1915635,1919111,1922473,1925730,1928989,1932152,1935278,1938447,1941403,1944352,1947169,1949930,1952672,1955366,1958113,1960703,1963349,1965855,1968338,1970756,1973155,1975553,1977900,1980173,1982323,1984497,1986631,1988818,1990868,1992872,1994925,1996883,1998820,2000742,2002679,2004564,2006400,2008242,2010010,2011757,2013535,2015262,2016974,2018631,2020273,2021899,2023455,2025034,2026602,2028164,2029698,2031213,2032662,2034118,2035565,2036999,
14223403,165505,336908,486857,613105,719177,809649,887590,955345,1014225,1066467,1113601,1155468,1193880,1228641,1260564,1290011,1317343,1342650,1366323,1388332,1409030,1428384,1446422,1463828,1480201,1495605,1510216,1524118,1537489,1550009,1562099,1573508,1584573,1595246,1605427,1615245,1624750,1633803,1642571,1651005,1659106,1666892,1674527,1681899,1689191,1696121,1702907,1709420,1715798,1721846,1727924,1733724,1739501,1745024,1750488,1755549,1760593,1765632,1770351,1775092,1779607,1784160,1788559,1792783,1797001,1801118,1805091,1808901,1812769,1816535,1820324,1823959,1827472,1830927,1834350,1837676,1840920,1844192,1847320,1850406,1853433,1856413,1859283,1862106,1864907,1867684,1870458,1873127,1875809,1878338,1880899,1883401,1885771,1888256,1890705,1893083,1895352,1897619,1899793,1902120,1904336,1906459,1908641,1910728,1912834,1914823,1916864,1918806,1920746,1922562,1924463,1926348,1928191,1930013,1931918,1933623,1935351,1937076,1938796,
1438405,95357,228444,358685,474763,576082,664442,741975,810465,870916,924937,973665,1018148,1058482,1095487,1129419,1160645,1190021,1217106,1242450,1266050,1288384,1309479,1329509,1348125,1365682,1382422,1398279,1413689,1428192,1441956,1455234,1467911,1479894,1491534,1502714,1513490,1523750,1533596,1543260,1552607,1561457,1570183,1578528,1586692,1594671,1602144,1609580,1616697,1623770,1630535,1637103,1643574,1649709,1655764,1661813,1667625,1673178,1678773,1684005,1689213,1694262,1699345,1704229,1708959,1713561,1718214,1722594,1726844,1731108,1735289,1739277,1743302,1747268,1751069,1754914,1758557,1762223,1765853,1769295,1772699,1775925,1779213,1782420,1785660,1788789,1791899,1794951,1798009,1800914,1803871,1806693,1809575,1812306,1814907,1817494,1820143,1822688,1825256,1827727,1830165,1832561,1834932,1837344,1839709,1842007,1844214,1846495,1848756,1850865,1853027,1855123,1857142,1859290,1861289,1863277,1865279,1867166,1869091,1870968,
1441834,42872,130232,231468,329222,419933,502015,576339,643600,704055,758322,807839,852863,894718,933163,969106,1002189,1032871,1061844,1088865,1114238,1138269,1161078,1182532,1202600,1221774,1239961,1257507,1274150,1289911,1304851,1319366,1333275,1346432,1359336,1371620,1383405,1394808,1405689,1416330,1426714,1436777,1446210,1455494,1464578,1473245,1482002,1490302,1498431,1506203,1513761,1521091,1528278,1535302,1542196,1548867,1555215,1561406,1567487,1573467,1579185,1584842,1590419,1595891,1601265,1606515,1611589,1616562,1621505,1626265,1630854,1635435,1639824,1644168,1648504,1652699,1656866,1661045,1665091,1668972,1672769,1676512,1680158,1683743,1687350,1690830,1694232,1697688,1701018,1704320,1707617,1710889,1714092,1717132,1720234,1723172,1726194,1729015,1731912,1734666,1737422,1740126,1742756,1745412,1748060,1750718,1753204,1755836,1758292,1760733,1763041,1765380,1767688,1770089,1772394,1774642,1776914,1779131,1781329,1783530,
145194,12554,55531,118898,190216,262219,331398,396274,456810,513311,565604,613927,658629,700315,739230,775640,809392,841211,871355,899753,926489,951649,975613,998475,1019890,1040732,1060480,1079353,1097205,1114618,1131029,1146810,1162103,1176539,1190554,1204185,1217242,1229845,1241933,1253788,1265239,1276208,1286865,1297102,1307226,1316915,1326450,1335694,1344649,1353243,1361879,1370165,1378068,1385812,1393403,1400769,1408031,1415004,1421825,1428487,1435062,1441538,1447858,1454026,1460073,1465910,1471706,1477373,1482872,1488118,1493372,1498484,1503590,1508553,1513524,1518315,1523067,1527779,1532246,1536732,1541161,1545341,1549652,1553753,1557809,1561822,1565773,1569692,1573525,1577186,1580827,1584501,1588128,1591590,1595073,1598469,1601778,1605041,1608317,1611571,1614580,1617752,1620892,1623947,1626901,1629887,1632731,1635530,1638416,1641196,1643940,1646763,1649460,1652109,1654770,1657264,1659866,1662394,1664800,1667296,
14632,5091,29821,73785,128443,187204,246675,303927,358934,411016,459927,506565,549805,590319,628067,664165,697819,729680,759622,788160,815176,840929,865215,888502,910752,932196,952344,971674,990359,1008229,1025210,1041524,1057312,1072620,1087269,1101527,1115014,1128185,1140915,1153249,1165119,1176716,1187954,1199069,1209679,1219750,1229675,1239390,1248891,1258215,1267190,1275968,1284421,1292617,1300688,1308720,1316414,1323974,1331307,1338444,1345347,1352116,1358711,1365144,1371531,1377749,1383940,1389864,1395795,1401516,1407200,1412685,1418150,1423391,1428512,1433638,1438738,1443854,1448690,1453454,1458058,1462685,1467111,1471477,1475840,1480158,1484290,1488569,1492552,1496525,1500438,1504319,1508133,1511934,1515645,1519355,1522931,1526526,1529978,1533469,1536836,1540131,1543342,1546685,1549817,1552954,1556220,1559273,1562317,1565347,1568272,1571133,1574117,1576944,1579734,1582486,1585210,1587958,1590673,1593360,
1476,1556,12978,38749,75980,119770,166560,214430,261671,307105,351388,393334,433503,471519,507760,542483,574935,606199,636053,664132,690906,716543,741037,764527,786852,808398,829047,848749,867633,885761,903543,920337,936735,952554,967825,982421,996621,1010366,1023655,1036515,1048909,1060954,1072645,1084101,1095248,1106008,1116517,1126711,1136773,1146552,1155939,1165170,1174141,1183038,1191619,1199930,1208124,1216024,1223877,1231411,1238828,1246066,1253027,1259750,1266580,1273293,1279897,1286311,1292494,1298677,1304849,1310765,1316602,1322288,1327784,1333296,1338605,1343955,1349276,1354416,1359440,1364384,1369217,1373954,1378625,1383239,1387772,1392174,1396569,1400802,1404910,1409138,1413277,1417327,1421318,1425242,1429185,1433008,1436781,1440464,1444071,1447646,1451272,1454764,1458227,1461741,1465092,1468532,1471811,1475003,1478132,1481323,1484466,1487586,1490591,1493575,1496502,1499373,1502330,1505181,
1480,285,4202,16251,37070,65175,97669,133155,169906,206839,243749,279985,315028,348559,381623,413443,443788,473059,500957,527836,553556,578104,602165,624957,646963,668173,688866,708624,727788,746165,763878,780968,797545,813494,829138,844121,858890,873045,886849,900116,913117,925652,937836,949697,961279,972521,983281,994049,1004556,1014786,1024531,1034226,1043698,1052809,1061853,1070524,1079226,1087461,1095699,1103677,1111620,1119475,1127048,1134312,1141425,1148686,1155465,1162182,1168847,1175413,1181848,1188025,1194337,1200493,1206504,1212385,1218003,1223655,1229318,1234982,1240217,1245529,1250686,1255808,1260907,1265931,1270765,1275655,1280377,1285035,1289670,1294252,1298819,1303322,1307595,1311815,1315937,1320086,1324180,1328192,1332120,1335979,1339775,1343549,1347345,1351014,1354623,1358346,1361912,1365489,1368945,1372351,1375755,1379065,1382413,1385807,1388932,1392116,1395325,1398396,
1490,36,785,4633,13268,27369,45819,67979,92713,118955,146139,174101,202244,229925,257367,284041,310195,335867,360897,385012,408589,431360,453652,474819,495311,515436,535080,553868,572248,590016,607558,624380,640774,656450,672063,686985,701563,715948,729609,743036,756113,768769,781481,793545,805316,816684,827805,838902,849727,860276,870394,880337,890264,899798,909322,918418,927371,936208,944728,953048,961332,969394,977264,985054,992603,999833,1007098,1014100,1021124,1027976,1034733,1041440,1047938,1054432,1060722,1067023,1073096,1079269,1085215,1091026,1096747,1102432,1107972,1113372,1118774,1124118,1129194,1134384,1139553,1144560,1149526,1154412,1159046,1163745,1168290,1172886,1177466,1181928,1186254,1190548,1194744,1198879,1203138,1207162,1211204,1215269,1219222,1223163,1226865,1230760,1234570,1238159,1241938,1245621,1249235,1252784,1256333,1259941,1263312,1266667,
1500,3,199,1644,5770,13315,24647,39068,56241,75382,96129,117880,140132,162922,185877,208818,231425,253811,275751,297336,318567,339242,359624,379636,399042,417921,436371,454667,472050,489001,505523,521845,537589,552992,567842,582117,596379,610349,623729,637072,649847,662350,674829,686884,698813,710232,721344,732353,743210,753528,763851,773968,783955,793594,803180,812493,821649,830492,839200,847618,856037,864249,872572,880484,888370,896087,903485,910656,917902,925082,931939,938763,945596,952227,958800,965176,971473,977623,983629,989703,995606,1001501,1007206,1012986,1018530,1024120,1029670,1035077,1040361,1045532,1050611,1055683,1060575,1065413,1070305,1075073,1079806,1084422,1089007,1093439,1097961,1102294,1106598,1110927,1115101,1119414,1123460,1127559,1131593,1135611,1139526,1143380,1147318,1151144,1154922,1158674,1162399,1165991,1169495,1173080,
1510,0,25,410,1837,5177,10779,18739,29066,41433,55487,70998,87300,104299,122234,140336,158564,177046,195237,213704,231934,249934,267468,284928,302067,319138,335788,351982,368053,383681,399013,414022,428778,443328,457381,471411,485082,498577,511524,524282,536820,549019,560860,572691,584311,595557,606690,617587,628174,638490,648518,658423,668235,677705,687248,696508,705490,714509,723390,731991,740336,748669,756669,764651,772552,780249,787872,795201,802527,809782,816869,823804,830670,837442,844168,850819,857314,863507,869742,875775,881796,887709,893587,899460,905206,910873,916404,921843,927225,932612,937872,943042,948197,953172,958084,963020,967908,972808,977591,982140,986758,991179,995799,1000308,1004764,1009167,1013563,1017710,1021913,1026020,1030120,1034196,1038189,1042115,1046040,1050058,1053987,1057855,1061608,1065304,
1520,0,3,50,363,1316,3421,6933,11855,18405,26348,35602,45892,57231,69068,81781,95001,108670,122555,136754,151014,165289,179632,194111,208282,222613,236909,250941,264757,278358,291796,305085,318124,331195,344016,356724,369125,381278,393364,405142,416570,428137,439383,450458,461246,471923,482568,492844,502902,512775,522543,532082,541389,550649,559745,568917,577737,586500,595119,603579,611932,620280,628225,636206,643844,651503,658957,666490,673662,680757,687917,694862,701679,708496,715193,721663,728093,734436,740740,746859,753006,759114,765191,771102,776970,782709,788517,794126,799662,804993,810293,815594,820788,825827,830909,836033,840983,845875,850657,855532,860343,865017,869658,874320,878895,883517,887879,892358,896525,900878,905009,909131,913217,917328,921417,925442,929330,933337,937146,940953,
1530,0,0,3,48,220,679,1627,3296,5863,9299,13617,18747,24785,31331,38766,46861,55354,64393,73931,83548,93601,103959,114389,124847,135476,146191,157059,168000,178916,189680,200558,211480,222204,232874,243314,253655,263893,274141,284214,294374,304372,314191,323993,333661,342991,352310,361574,370818,379937,388883,397936,406639,415284,423643,432061,440368,448479,456422,464423,472334,480155,487843,495186,502701,509986,517017,524128,531178,538174,544936,551700,558331,564931,571330,577838,584127,590479,596525,602659,608591,614457,620288,626094,631873,637533,643140,648687,654219,659645,665008,670374,675667,680672,685852,690854,695929,700837,705666,710606,715367,720115,724737,729378,734062,738659,743268,747584,751906,756189,760493,764514,768763,772952,777130,781200,785199,789158,793056,796941,
1540,0,0,1,1,14,69,204,508,1063,2007,3278,5011,7196,9882,12963,16578,20576,25038,29873,35071,40702,46703,53062,59466,66112,73064,80182,87317,94720,102227,109852,117396,125037,132681,140522,148424,156262,163889,171729,179448,187233,195031,202753,210443,218041,225673,233032,240557,248090,255621,263025,270312,277533,284654,291919,298954,306081,313119,320020,326936,333804,340491,347169,353692,360290,366705,373082,379389,385688,391825,397955,404001,410091,416008,421999,427730,433623,439432,445087,450704,456271,461744,467154,472559,477875,483142,488409,493627,498794,503854,508875,513850,518681,523731,528569,533346,538210,542895,547562,552150,556700,561127,565560,570033,574412,578736,582919,587118,591346,595591,599821,603986,608036,612051,615995,619999,623824,627802,631658,
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1560,0,0,0,0,0,0,0,0,1,14,32,55,120,214,364,588,871,1212,1672,2183,2831,3602,4488,5481,6638,7881,9297,10850,12477,14283,16134,18225,20349,22640,24954,27449,30017,32587,35287,38061,40922,43832,46868,49990,53211,56480,59726,63120,66517,69930,73303,76825,80322,83971,87420,91101,94830,98569,102304,106160,109853,113666,117340,121186,124822,128608,132422,136156,139891,143773,147607,151351,155155,158984,162790,166606,170412,174214,177926,181797,185411,189091,192889,196651,200390,204057,207623,211225,214918,218486,222095,225706,229366,232951,236543,240039,243575,247040,250520,253987,257555,261088,264551,267991,271332,274733,278003,281404,284718,288081,291351,294684,297899,301135,304420,307633,310812,314008,317135,
1570,0,0,0,0,0,0,0,0,0,0,0,0,0,4,10,18,30,52,86,120,176,265,354,490,636,798,1009,1247,1542,1854,2204,2630,3112,3641,4200,4809,5483,6272,7022,7830,8706,9602,10606,11630,12751,13888,15125,16319,17606,18938,20302,21710,23232,24641,26189,27680,29245,30881,32548,34298,36059,37863,39657,41452,43324,45229,47140,49133,51059,53024,55084,57104,59205,61233,63377,65460,67527,69692,71848,74019,76150,78447,80663,82898,85107,87403,89683,91877,94163,96453,98756,101011,103306,105563,107746,110046,112329,114706,116904,119273,121558,123922,126178,128390,130713,133021,135419,137725,139951,142184,144437,146723,149037,151286,153582,155908,158191,160460,162745,
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1630,1341,13292,42305,85677,137587,193927,251809,309097,365145,419047,471064,520582,568152,612968,655358,695300,733574,769933,805177,838288,869712,899776,928618,956284,982501,1007787,1031683,1054872,1077300,1098605,1119078,1139058,1158118,1176378,1194375,1211303,1227945,1243957,1259298,1274286,1288769,1302750,1316286,1329582,1342309,1355069,1367396,1379047,1390515,1401740,1412561,1423149,1433495,1443344,1453125,1462744,1471845,1481007,1489685,1498250,1506621,1514841,1522875,1530670,1538239,1545835,1553071,1560242,1567211,1574029,1580674,1587356,1593801,1599989,1606203,1612119,1617943,1623806,1629539,1635193,1640745,1646156,1651370,1656633,1661679,1666693,1671509,1676315,1681186,1685787,1690319,1694752,1698996,1703371,1707685,1711836,1715928,1720026,1724035,1727989,1731968,1735805,1739583,1743267,1746890,1750514,1754077,1757519,1760877,1764137,1767437,1770653,1773898,1777081,1780150,1783178,1786204,1789092,1791975,
1640,239,4164,17333,41349,74494,113884,157331,202392,248237,294300,339586,383833,426527,467765,507437,545483,582411,617618,651660,683982,715132,745474,773981,801488,828285,853636,878486,902240,924849,946839,968010,988547,1008476,1027626,1046138,1064039,1081308,1098012,1114487,1130258,1145669,1160749,1175436,1189658,1203408,1216780,1229522,1242313,1254444,1266443,1278084,1289240,1300447,1311255,1321774,1331936,1341925,1351749,1361096,1370455,1379634,1388501,1397205,1405714,1414057,1422058,1429989,1437797,1445259,1452740,1459965,1467126,1474282,1481094,1487932,1494427,1500933,1507484,1513760,1519886,1525959,1531832,1537522,1543200,1548769,1554121,1559417,1564820,1569998,1575160,1580158,1585080,1589996,1594846,1599582,1604306,1608808,1613195,1617629,1622016,1626285,1630444,1634599,1638702,1642786,1646700,1650671,1654548,1658314,1661960,1665700,1669344,1673022,1676451,1679938,1683275,1686660,1690053,1693318,
1650,15,754,4805,14597,31024,53574,80720,111164,144107,178347,213670,249391,284812,319513,353927,387337,420289,452836,484046,514176,543307,571905,599560,625934,651885,676905,700950,724736,747573,769749,791314,812256,832214,851648,870721,889380,906996,924380,941246,957653,973580,989128,1004513,1019248,1033568,1047524,1061274,1074886,1087705,1100381,1113015,1125172,1137064,1148736,1159791,1170928,1181574,1192191,1202318,1212390,1222097,1231721,1241152,1250218,1259202,1267991,1276520,1285218,1293395,1301460,1309355,1317216,1324906,1332576,1340035,1347271,1354350,1361241,1368100,1374728,1381396,1388011,1394448,1400662,1406757,1412761,1418771,1424525,1430278,1436010,1441542,1447053,1452490,1457716,1462977,1468151,1473339,1478308,1483181,1487995,1492626,1497373,1501995,1506547,1510937,1515439,1519670,1523947,1528202,1532334,1536450,1540380,1544450,1548252,1552087,1555936,1559798,1563499,1567015,
1660,0,47,674,3029,8270,17227,29744,45381,63905,84727,107230,131194,156050,181773,207877,233777,260162,286109,312012,337593,362734,387374,411497,435229,458584,481570,503829,525680,547116,567639,588027,608081,627569,646424,664761,682985,700719,717867,734545,750998,766784,782605,798072,812977,827789,842087,856251,869823,883153,896347,909470,921853,934157,946177,958080,969488,980736,991713,1002571,1013017,1023336,1033536,1043522,1053246,1062835,1072288,1081559,1090575,1099515,1108241,1116733,1125190,1133597,1141703,1149655,1157491,1165196,1172671,1180123,1187386,1194600,1201611,1208527,1215422,1222187,1228781,1235313,1241819,1248205,1254426,1260661,1266733,1272594,1278499,1284222,1289830,1295387,1300905,1306271,1311672,1316921,1322192,1327286,1332399,1337333,1342296,1347205,1352053,1356826,1361558,1366013,1370525,1375000,1379385,1383682,1387984,1392217,1396355,1400472,
1670,0,1,34,250,1016,2804,5952,10696,17408,25713,35880,47330,60245,74144,89021,105001,121368,138672,156075,173904,191764,209673,227853,245785,264040,282033,300106,317813,335086,352566,369867,386716,403461,420148,436615,452619,468554,484440,499858,514941,529803,544368,558781,572898,586747,600532,614000,627033,639938,652648,664991,677273,689490,701272,712836,724401,735628,746734,757470,768142,778648,789047,799291,809308,819042,828749,838266,847751,856728,865628,874750,883329,892021,900626,909029,917222,925276,933284,941042,948709,956357,963808,971144,978549,985720,993026,999896,1006559,1013359,1020032,1026619,1032996,1039392,1045717,1051922,1058077,1064191,1070104,1075957,1081780,1087588,1093256,1098840,1104244,1109661,1114922,1120190,1125448,1130568,1135687,1140731,1145778,1150760,1155610,1160409,1165136,1169842,1174431,1178853,
1680,0,0,3,28,155,523,1378,2995,5498,8989,13566,19082,25804,33394,41914,51427,61747,72799,84452,96650,109165,122138,135215,148683,162365,176149,189884,204016,217949,232212,246257,260159,274113,288002,301896,315485,328936,342440,355583,368856,381948,394805,407721,420397,432928,445288,457465,469645,481318,493030,504605,515952,527174,538459,549349,560211,570928,581414,591781,602166,612409,622419,632304,642039,651638,660932,670248,679389,688394,697139,705832,714425,722909,731186,739452,747587,755479,763300,771025,778688,786352,793751,801183,808442,815665,822826,829967,836813,843511,850287,856953,863500,870090,876489,882751,889062,895238,901397,907345,913249,919125,924860,930564,936271,941868,947291,952635,958100,963386,968549,973715,978793,983893,989004,994027,998959,1003943,1008762,1013524,
1690,0,0,0,0,11,51,177,472,1046,1952,3422,5308,7816,10975,14704,19066,24071,29742,35819,42483,49611,57403,65343,73697,82353,91317,100469,109859,119533,129355,139386,149682,159883,170162,180534,190889,201127,211568,222110,232541,243095,253710,264166,274543,284873,295084,305235,315289,325400,335420,345165,355016,364910,374686,384225,393717,403051,412494,421634,430750,439772,448661,457391,466237,474836,483275,491668,500095,508319,516511,524565,532476,540349,548104,555726,563331,570954,578473,585795,593140,600324,607358,614397,621366,628260,635162,641834,648592,655300,661774,668337,674517,680871,687141,693331,699398,705370,711261,717185,723018,728739,734430,740005,745568,751060,756540,761964,767387,772644,777801,782961,788107,793119,797990,802925,807786,812690,817594,822321,
1700,0,0,0,0,0,1,11,38,92,206,459,845,1417,2187,3264,4576,6192,8087,10447,13146,16055,19226,22891,26857,31280,35821,40699,45782,51098,56459,62256,68256,74422,80763,87239,93736,100424,107259,114042,120961,128133,135325,142648,149733,157202,164616,171947,179107,186708,194246,201595,209198,216703,224129,231566,238859,246187,253370,260740,267933,275176,282355,289515,296485,303613,310430,317596,324571,331594,338552,345442,352223,358887,365525,372252,378888,385453,391855,398284,404640,410848,417212,423382,429591,435646,441782,447741,453779,459742,465571,471372,477074,482710,488395,494077,499717,505150,510629,516117,521460,526655,531897,537126,542248,547357,552480,557452,562554,567439,572373,577301,582142,586940,591660,596434,601199,605795,610335,614908,
1710,0,0,0,0,0,0,0,1,3,9,33,71,119,212,369,600,907,1298,1821,2390,3159,4018,5041,6253,7705,9265,10888,12792,14893,17069,19399,21951,24613,27423,30559,33754,37006,40476,44097,47677,51497,55315,59314,63467,67620,71802,76179,80476,84847,89361,93943,98538,103238,107894,112666,117451,122200,127070,131934,136715,141708,146697,151442,156433,161314,166128,171229,176132,181221,186227,191083,196054,200923,205882,210889,215933,220931,225990,230791,235708,240561,245384,250210,255019,259736,264369,269140,273715,278412,283080,287705,292330,296977,301597,306127,310599,315116,319636,324135,328414,332818,337183,341563,345917,350133,354452,358674,362918,367207,371418,375590,379675,383752,387802,391947,395943,399972,403865,407809,
1720,0,0,0,0,0,0,0,0,0,0,0,0,0,7,18,31,53,83,149,222,318,463,595,812,1081,1354,1728,2149,2595,3158,3798,4523,5248,6085,7014,8008,9107,10248,11448,12755,14113,15573,17087,18636,20366,22134,23888,25821,27766,29732,31836,33959,36130,38359,40604,42855,45176,47513,50047,52579,55081,57587,60279,62924,65569,68299,71096,74032,76831,79685,82579,85481,88442,91490,94529,97451,100408,103455,106557,109675,112711,115772,118821,121967,125070,128120,131275,134357,137534,140694,143857,146902,150068,153208,156210,159402,162504,165644,168641,171595,174680,177763,180908,183983,187070,190096,193184,196198,199189,202226,205267,208261,211237,214240,217245,220199,223142,226089,229071,
1730,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,6,9,14,20,36,62,83,122,161,214,273,350,440,556,717,864,1052,1272,1503,1776,2054,2402,2750,3142,3584,4066,4581,5111,5680,6315,6995,7676,8450,9200,10015,10868,11738,12680,13595,14553,15563,16669,17798,18938,20080,21269,22504,23823,25069,26408,27798,29204,30629,32134,33590,35079,36593,38139,39700,41294,42806,44391,46094,47749,49436,51158,52896,54656,56325,58087,59917,61753,63624,65449,67258,69098,71078,72948,74791,76726,78606,80468,82451,84329,86310,88232,90171,92206,94129,96114,98064,100089,102078,104081,106142,108155,110193,112164,114171,116196,118192,120188,
1740,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,9,14,19,26,35,50,69,88,120,154,190,233,275,341,413,485,570,674,798,927,1057,1222,1388,1563,1732,1924,2167,2376,2636,2927,3209,3524,3868,4198,4551,4916,5271,5680,6112,6584,7032,7495,7998,8470,8995,9585,10182,10773,11342,11926,12608,13319,13993,14725,15417,16112,16829,17558,18280,19068,19872,20703,21499,22351,23199,24066,24937,25826,26730,27633,28586,29531,30471,31473,32420,33442,34435,35422,36397,37440,38464,39488,40517,41605,42700,43817,44860,45959,47025,48129,49240,50366,51453,
1750,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,6,8,9,13,20,25,28,35,48,59,74,94,108,136,161,185,215,243,278,303,340,382,436,495,561,622,697,783,877,970,1067,1159,1272,1362,1493,1628,1763,1884,2022,2168,2315,2480,2657,2835,3040,3252,3473,3673,3916,4147,4367,4607,4865,5133,5391,5652,5877,6135,6423,6733,7040,7352,7717,8051,8392,8751,9103,9477,9843,10235,10614,10988,11437,11861,12278,12651,13070,13496,13955,14389,14832,15311,15790,16285,
1760,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,5,5,5,6,8,8,9,11,14,15,18,19,24,32,40,46,51,58,64,73,83,90,101,113,129,137,162,179,199,214,246,276,297,328,350,375,402,433,475,513,553,594,635,665,708,753,828,889,955,1007,1078,1136,1198,1270,1327,1396,1471,1560,1656,1737,1832,1911,2011,2109,2196,2296,2381,2494,2608,2721,2836,2954,
17758129,285484,508181,686456,828540,944810,1040634,1122542,1192486,1253205,1306146,1353343,1395400,1433466,1468341,1499949,1529404,1555846,1580349,1603233,1624604,1644379,1662964,1680418,1697068,1712468,1727001,1740716,1753637,1766140,1778114,1789354,1800024,1810503,1820339,1829804,1838897,1847462,1855786,1863674,1871446,1878802,1885924,1893008,1899611,1906211,1912409,1918392,1924121,1929824,1935317,1940568,1945780,1950722,1955534,1960345,1964960,1969321,1973628,1977879,1981983,1985934,1989794,1993644,1997372,2001031,2004490,2007856,2011249,2014572,2017737,2020846,2023884,2026942,2029865,2032756,2035487,2038194,2040927,2043570,2046083,2048613,2051140,2053633,2056006,2058399,2060651,2062873,2065067,2067177,2069336,2071335,2073343,2075229,2077292,2079223,2081130,2082950,2084724,2086620,2088381,2090064,2091816,2093413,2095012,2096686,2098298,2099818,2101309,2102837,2104334,2105749,2107166,2108594,2109940,2111278,2112522,2113942,2115276,2116597,
17811049,118224,274379,424156,555842,669472,767196,852451,927671,993688,1052340,1105546,1153001,1196496,1235751,1272023,1305432,1336525,1365271,1392228,1417101,1440723,1462653,1483646,1503194,1521442,1539083,1555596,1571270,1586129,1600476,1614064,1627026,1639630,1651476,1662928,1673997,1684589,1694599,1704302,1713618,1722692,1731400,1739829,1748093,1755996,1763537,1770926,1777948,1784803,1791426,1797928,1804178,1810438,1816510,1822246,1827961,1833487,1838855,1844016,1849184,1854087,1858805,1863497,1868136,1872656,1876999,1881216,1885406,1889410,1893329,1897233,1901038,1904721,1908336,1911843,1915230,1918628,1921957,1925199,1928338,1931450,1934378,1937322,1940314,1943164,1945977,1948748,1951470,1954158,1956830,1959433,1961959,1964428,1966866,1969212,1971593,1973876,1976113,1978345,1980563,1982772,1984925,1987042,1989089,1991119,1993133,1995073,1996971,1998847,2000664,2002431,2004246,2006028,2007810,2009542,2011221,2012890,2014529,2016213,
1792840,56884,166215,287048,401894,506744,600594,684083,759602,826823,887264,941953,991954,1037608,1079606,1118286,1154441,1187833,1218689,1247810,1274985,1300734,1324922,1347489,1368873,1389185,1408422,1426621,1444098,1460619,1476267,1491464,1505852,1519473,1532776,1545580,1557852,1569837,1581098,1591990,1602364,1612468,1622196,1631648,1640834,1649563,1658013,1666519,1674440,1682186,1689703,1696961,1704130,1711001,1717558,1724085,1730396,1736592,1742554,1748416,1754172,1759870,1765279,1770624,1775717,1780781,1785558,1790294,1794935,1799465,1803900,1808295,1812558,1816685,1820808,1824800,1828797,1832662,1836372,1840073,1843725,1847301,1850780,1854281,1857720,1860904,1864114,1867339,1870358,1873349,1876268,1879133,1882012,1884781,1887549,1890249,1892890,1895551,1898109,1900756,1903273,1905735,1908194,1910538,1912909,1915167,1917404,1919668,1921884,1924095,1926209,1928279,1930286,1932275,1934258,1936265,1938243,1940119,1942007,1943782,
180354,18813,77628,159045,247624,334617,417073,493842,565195,630325,689951,744937,795766,842935,886392,926782,964348,999710,1032795,1063782,1093298,1120860,1146948,1171899,1195189,1217487,1238646,1258892,1277964,1296205,1313919,1330674,1346633,1361869,1376624,1391015,1404719,1417675,1430398,1442607,1454498,1465960,1476839,1487541,1497962,1507853,1517625,1526973,1535965,1544725,1553206,1561504,1569491,1577429,1585000,1592503,1599708,1606759,1613653,1620272,1626731,1632937,1639292,1645309,1651241,1657101,1662780,1668193,1673669,1678927,1684089,1688995,1694019,1698802,1703560,1708144,1712672,1717161,1721528,1725738,1729868,1733958,1737974,1741941,1745675,1749389,1753064,1756677,1760183,1763610,1767059,1770447,1773770,1776884,1780006,1783188,1786301,1789274,1792289,1795246,1798019,1800926,1803788,1806551,1809203,1811953,1814512,1817136,1819623,1822189,1824716,1827116,1829564,1831946,1834210,1836484,1838755,1841056,1843326,1845427,
1818,3049,22571,61667,113746,172820,234206,294797,353672,410660,464224,514736,562310,607775,650556,690684,728673,764180,797971,830150,860698,889700,917196,943453,968798,992992,1015758,1037700,1058724,1078797,1097759,1116215,1134019,1151128,1167538,1183363,1198490,1213226,1227514,1241189,1254561,1267485,1279908,1291798,1303501,1314792,1325872,1336585,1347038,1356978,1366714,1376177,1385483,1394283,1403033,1411445,1419877,1427897,1435784,1443510,1450951,1458187,1465426,1472433,1479284,1485870,1492367,1498788,1505159,1511277,1517259,1523067,1528724,1534299,1539696,1545047,1550256,1555359,1560419,1565304,1570185,1575017,1579808,1584474,1588983,1593392,1597574,1601776,1605939,1610036,1614025,1617931,1621902,1625667,1629335,1633026,1636589,1640122,1643621,1647025,1650399,1653691,1656946,1660232,1663555,1666786,1669858,1672956,1675972,1678957,1681808,1684711,1687616,1690470,1693221,1695894,1698555,1701137,1703746,1706245,
1821,742,8611,29885,63278,104930,151518,200649,250070,298583,346100,391824,436163,478256,518600,556997,593283,628028,661095,692897,723183,752317,780025,806533,831734,855884,879143,901705,922845,943534,963516,982466,1000963,1018524,1035733,1052083,1068033,1083667,1098418,1112998,1127086,1140531,1153707,1166448,1178818,1190799,1202472,1213652,1224786,1235427,1245943,1255972,1265834,1275442,1284868,1293850,1302741,1311359,1319842,1328207,1336211,1344083,1351673,1359185,1366400,1373545,1380515,1387247,1394071,1400786,1407307,1413736,1419914,1426009,1431799,1437634,1443401,1448978,1454391,1459713,1465093,1470278,1475280,1480320,1485198,1490026,1494671,1499348,1503863,1508245,1512662,1517004,1521242,1525500,1529549,1533538,1537512,1541499,1545367,1549230,1552919,1556563,1560143,1563680,1567169,1570615,1573963,1577354,1580603,1583812,1586860,1589920,1593038,1596198,1599191,1602170,1605092,1607936,1610809,1613623,
1830,129,2358,10924,28094,52899,83618,118548,155460,193692,232230,270764,308350,344750,380462,414936,448543,480829,512334,542571,571283,599050,625808,651698,676585,700550,723450,745443,767247,787936,807906,827090,845829,863968,881626,898553,915110,930953,946185,961026,975678,989566,1003229,1016448,1029403,1042034,1054423,1066363,1077944,1089157,1100174,1111024,1121558,1131748,1141638,1151255,1160725,1169919,1178919,1187693,1196295,1204628,1212907,1220912,1228751,1236624,1244119,1251501,1258706,1265740,1272670,1279600,1286336,1292715,1299028,1305370,1311585,1317569,1323479,1329335,1335012,1340627,1346159,1351633,1356960,1362264,1367283,1372315,1377325,1382132,1386912,1391694,1396452,1400992,1405390,1409750,1414050,1418418,1422645,1426841,1430963,1434932,1438824,1442739,1446580,1450370,1454076,1457791,1461469,1465046,1468503,1471977,1475404,1478802,1482091,1485319,1488508,1491766,1494872,1498018,
1840,8,360,2672,8835,19929,35831,56031,79326,104694,131635,159620,188481,217355,246322,274645,303039,330809,358271,384627,410512,435417,459986,483882,506835,529487,551330,572513,593163,613160,632734,651535,669884,687703,705053,721994,738256,754118,769633,784641,799314,813442,827576,841100,854148,866957,879433,891961,903878,915662,927043,938245,949315,960044,970613,980686,990749,1000510,1009842,1019113,1028196,1037070,1045815,1054286,1062633,1070834,1078808,1086750,1094456,1101882,1109158,1116450,1123461,1130465,1137400,1144147,1150748,1157055,1163449,1169846,1176039,1182146,1188086,1193836,1199575,1205270,1210757,1216227,1221562,1226891,1232086,1237145,1242196,1247277,1252058,1256813,1261592,1266154,1270900,1275399,1279830,1284163,1288487,1292571,1296744,1300720,1304713,1308645,1312621,1316571,1320416,1324184,1327921,1331630,1335236,1338879,1342477,1345912,1349326,1352743,
1850,0,18,306,1556,4641,10181,18144,28728,41700,56541,73040,90883,109888,129574,149713,170130,190818,211496,232225,252618,273111,293139,312818,332676,351805,370959,389516,407690,425540,443057,460075,476738,493259,509369,525292,540715,555857,570701,585137,599221,613105,626599,640051,653123,665747,678033,690154,702015,713692,725048,736231,747066,757802,768223,778595,788811,798447,808260,817619,826990,836180,845095,853841,862558,870998,879154,887170,895363,903132,910896,918513,925898,933305,940522,947493,954401,961284,968217,974713,981215,987627,994010,1000152,1006225,1012083,1018148,1023949,1029629,1035200,1040832,1046354,1051641,1056925,1062072,1067265,1072265,1077339,1082289,1087082,1091828,1096494,1101095,1105793,1110312,1114808,1119100,1123474,1127805,1131978,1136161,1140213,1144181,1148390,1152495,1156386,1160238,1164041,1167887,1171502,
1860,0,1,53,336,1242,3373,6921,12065,18952,27615,37627,49211,61846,75279,89539,104473,119989,135720,151820,168252,184658,201277,218005,234253,250713,266841,283052,298922,314464,329843,345180,360120,374940,389599,403841,418107,431959,445534,459066,472183,485224,498087,510558,522668,534658,546440,558053,569623,580724,591714,602444,613014,623432,633677,643626,653652,663318,672981,682289,691496,700619,709529,718161,726761,735127,743486,751568,759534,767324,775119,782590,790141,797662,804889,812001,818898,825691,832579,839250,845654,852217,858758,865135,871213,877415,883464,889339,895028,900772,906553,912136,917557,922911,928333,933573,938861,943975,949128,954139,959025,963712,968474,973318,978087,982693,987205,991700,996153,1000401,1004812,1009064,1013204,1017288,1021490,1025643,1029660,1033514,1037446,1041239,
1870,0,0,1,46,243,795,1862,3763,6597,10564,15513,21637,28667,36521,45074,54550,64561,75046,86049,97690,109703,121718,134260,146730,159382,172057,184675,197374,210023,222739,235399,248102,260521,272928,285191,297077,309210,321097,332768,344198,355567,366863,378103,389152,400050,410576,421164,431468,441849,452242,462397,472189,481972,491628,500965,510451,519512,528663,537451,546292,555031,563446,571853,580093,588241,596152,604009,611684,619258,626927,634392,641723,649103,656381,663319,670151,676948,683583,690094,696445,702930,709234,715361,721475,727551,733683,739655,745536,751204,756753,762376,767984,773380,778791,784128,789414,794512,799636,804542,809533,814369,819259,824054,828797,833527,838187,842847,847361,851901,856141,860479,864804,869051,873262,877371,881374,885357,889443,893511,
1880,0,0,0,2,17,98,324,768,1564,2799,4607,6943,9942,13515,17707,22439,27846,33787,40162,46922,54079,61656,69508,77802,86377,95056,103890,112894,122054,131360,140750,150201,159792,169294,178843,188232,197621,206849,216297,225853,235206,244488,253822,262986,272187,281243,289961,298764,307632,316244,324801,333249,341711,350213,358608,366798,374923,382905,390814,398718,406377,413986,421492,429007,436387,443637,450739,457787,464928,472000,478906,485738,492422,499106,505816,512275,518726,524914,531077,537218,543229,549155,555077,560971,566767,572427,578090,583699,589213,594719,600069,605404,610677,615980,621120,626112,631079,636063,640986,645914,650744,655496,660172,664784,669380,673883,678429,682882,687254,691479,695695,699904,703945,708179,712293,716399,720377,724309,728170,
1890,0,0,0,0,1,5,35,101,227,431,810,1371,2230,3370,4755,6578,8664,11142,13953,17042,20440,24116,28191,32650,37264,42090,47195,52466,57959,63317,69204,75016,80940,87194,93553,99975,106401,112874,119417,126024,132666,139513,146090,152886,159701,166331,173102,179806,186437,193226,199829,206661,213331,220051,226721,233272,239996,246501,252946,259439,265840,272055,278294,284495,290763,296878,303051,309111,315022,320721,326708,332559,338349,344104,349720,355310,361062,366576,372132,377607,383015,388385,393672,398873,404214,409356,414356,419338,424288,429269,434191,439017,443705,448446,453293,458017,462589,467196,471712,476371,480754,485088,489453,493824,498009,502289,506457,510611,514750,518885,522923,526948,530934,534862,538799,542573,546399,550097,553890,
1900,0,0,0,0,0,0,1,1,7,28,80,171,289,457,729,1096,1639,2234,2995,3906,4931,6204,7622,9214,10962,12984,15089,17326,19748,22330,25077,28056,31082,34299,37636,40987,44498,48149,51899,55751,59628,63611,67773,71800,75854,80102,84498,88843,93121,97506,101948,106305,110795,115221,119727,124279,128872,133415,138034,142564,147207,151685,156261,160693,165192,169698,174243,178813,183154,187617,192093,196618,200907,205170,209561,213832,218242,222674,227074,231434,235793,240047,244294,248486,252664,256853,260800,265005,269094,273127,277145,281254,285305,289273,293156,297034,300869,304689,308579,312295,316023,319716,323451,327232,330894,334494,338104,341648,345101,348493,351923,355322,358731,362128,365656,369062,372354,375653,378918,
1910,0,0,0,0,0,0,0,0,0,0,2,13,22,40,87,134,225,340,515,722,989,1307,1685,2129,2687,3284,3985,4803,5715,6665,7735,8943,10232,11531,12950,14449,16052,17779,19624,21446,23437,25496,27519,29621,31887,34215,36577,38930,41336,43824,46443,49019,51639,54269,57057,59773,62599,65372,68249,71195,74178,77121,80088,83052,86045,88999,92015,95001,98078,101091,104169,107304,110400,113459,116589,119533,122701,125821,128913,132060,135094,138073,141120,144113,147275,150372,153573,156629,159660,162686,165744,168721,171730,174783,177806,180826,183908,186931,189938,192828,195706,198677,201695,204597,207553,210411,213228,216089,218912,221815,224626,227461,230269,233052,235742,238520,241343,244043,246748,
1920,0,0,0,0,0,0,0,0,0,0,0,0,1,4,8,12,21,28,45,72,105,155,209,278,373,493,638,814,995,1209,1468,1735,2049,2433,2826,3276,3767,4274,4866,5504,6189,6893,7592,8405,9242,10222,11183,12087,13142,14188,15350,16456,17690,18924,20095,21311,22620,23987,25352,26802,28287,29734,31287,32806,34373,35996,37590,39207,40900,42589,44291,45997,47697,49413,51124,52941,54810,56621,58424,60251,62203,64102,66000,67952,69805,71691,73635,75602,77583,79519,81500,83462,85425,87327,89259,91195,93109,95114,97079,99111,101104,103044,105022,106905,108922,110849,112851,114797,116821,118788,120736,122634,124660,126720,128670,130670,132648,134599,136557,
1930,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,12,18,32,42,57,79,100,129,159,206,263,320,416,500,601,712,844,987,1153,1340,1541,1779,2014,2274,2531,2827,3129,3446,3765,4109,4504,4887,5285,5721,6140,6584,7069,7600,8113,8662,9235,9806,10406,11028,11626,12262,12932,13641,14389,15086,15813,16606,17329,18094,18916,19747,20564,21451,22271,23164,24118,24933,25841,26736,27689,28595,29545,30519,31441,32429,33406,34423,35426,36417,37454,38516,39572,40653,41702,42761,43841,44851,45942,47046,48142,49200,50291,51425,52567,53672,54781,55907,57031,58229,59376,
1940,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,6,6,7,10,12,15,23,35,38,46,60,73,97,114,130,148,172,201,232,256,293,341,386,437,483,545,602,681,746,826,918,1019,1118,1223,1337,1454,1586,1717,1860,1995,2139,2288,2465,2639,2828,2998,3194,3409,3620,3820,4035,4262,4500,4732,5004,5259,5493,5793,6087,6372,6655,6926,7212,7484,7782,8100,8431,8769,9083,9428,9754,10081,10422,10781,11158,11551,11954,12348,12721,13151,13532,13911,14326,14713,15118,15539,15980,
19565925,301247,522584,697240,835882,948601,1041365,1119594,1187000,1245300,1295839,1340997,1381259,1417605,1450409,1480363,1507909,1533135,1556412,1578350,1598642,1617455,1635090,1651601,1667389,1682077,1695760,1708854,1721031,1732956,1744268,1754954,1765154,1775008,1784258,1793345,1801953,1810033,1817965,1825489,1832730,1839754,1846538,1853189,1859430,1865539,1871382,1877058,1882547,1887831,1892976,1898015,1902926,1907637,1912241,1916794,1921205,1925442,1929436,1933441,1937267,1941173,1944879,1948448,1951911,1955380,1958709,1961816,1965033,1968143,1971151,1974157,1976999,1979837,1982704,1985455,1988073,1990687,1993181,1995640,1998115,2000617,2003021,2005328,2007534,2009811,2012031,2014257,2016402,2018434,2020384,2022376,2024302,2026185,2028047,2029855,2031664,2033433,2035197,2036953,2038607,2040303,2041957,2043569,2045098,2046648,2048050,2049526,2051041,2052520,2053985,2055379,2056778,2058169,2059520,2060835,2062148,2063500,2064742,2066017,
19614622,133052,294971,444533,573783,684486,779126,861221,933191,996758,1052174,1102717,1147835,1189002,1226371,1260616,1292315,1321641,1348660,1373850,1397511,1419717,1440563,1460064,1478512,1495921,1512420,1527883,1542508,1556605,1569999,1582869,1594898,1606459,1617662,1628381,1638846,1648716,1658254,1667331,1676102,1684469,1692620,1700569,1708371,1715747,1722870,1729748,1736425,1742951,1749173,1755347,1761312,1767095,1772588,1777984,1783120,1788203,1793311,1798098,1802842,1807436,1811954,1816367,1820570,1824818,1828938,1832836,1836797,1840514,1844200,1847734,1851333,1854760,1858154,1861504,1864761,1867990,1871187,1874223,1877253,1880273,1883053,1885853,1888642,1891402,1894106,1896820,1899391,1901934,1904412,1906829,1909206,1911553,1913831,1916145,1918330,1920495,1922667,1924818,1926932,1928963,1931019,1932955,1934944,1936881,1938753,1940658,1942497,1944306,1946033,1947753,1949478,1951167,1952872,1954511,1956133,1957777,1959412,1960992,
1974252,68958,186754,311312,426209,529215,620986,702377,775067,839178,896706,948887,996422,1039774,1079149,1115766,1149251,1180768,1209908,1237216,1262702,1286696,1309411,1330523,1350501,1369494,1387538,1404705,1420869,1436194,1450972,1465084,1478391,1491221,1503649,1515379,1526753,1537638,1548260,1558471,1568102,1577304,1586272,1595075,1603602,1611756,1619838,1627652,1635146,1642303,1649282,1655968,1662699,1669199,1675546,1681579,1687594,1693193,1698775,1704150,1709381,1714432,1719509,1724519,1729344,1734054,1738664,1743020,1747374,1751601,1755797,1759910,1763863,1767776,1771486,1775213,1778849,1782515,1786069,1789541,1792835,1796101,1799349,1802545,1805643,1808738,1811737,1814809,1817679,1820509,1823290,1826090,1828744,1831328,1833893,1836402,1838894,1841274,1843676,1846091,1848461,1850783,1853106,1855360,1857548,1859692,1861774,1863869,1866021,1868078,1870045,1872033,1873903,1875905,1877778,1879524,1881350,1883089,1884899,1886582,
198662,26097,94903,183967,275934,364930,447103,522671,591796,655083,711938,764245,812610,857089,898463,936371,972057,1004945,1035854,1064606,1091870,1117855,1142177,1165423,1187153,1207909,1227431,1246260,1264064,1281005,1297230,1312919,1327795,1341995,1355634,1368784,1381247,1393478,1405109,1416284,1427304,1437894,1448105,1457934,1467383,1476609,1485709,1494353,1502699,1510562,1518447,1526147,1533536,1540796,1547706,1554648,1561213,1567678,1573940,1580145,1586025,1591848,1597549,1603153,1608633,1613872,1619078,1624151,1629203,1633984,1638668,1643281,1647751,1652133,1656479,1660759,1664870,1668862,1672853,1676713,1680520,1684260,1687941,1691590,1695056,1698468,1701903,1705334,1708651,1711788,1714942,1718136,1721213,1724217,1727202,1730172,1733056,1735818,1738613,1741247,1743961,1746611,1749213,1751768,1754189,1756727,1759149,1761541,1763811,1766232,1768475,1770730,1772940,1775118,1777364,1779508,1781543,1783581,1785641,1787653,
19937,5506,32479,80348,139819,203726,268116,330345,390123,446486,499363,549007,595271,638685,679578,717773,753722,787472,819636,850141,878520,905488,931294,955787,979046,1001212,1022180,1042457,1061819,1080241,1097923,1114959,1131118,1146927,1161876,1176568,1190669,1204325,1217106,1229722,1241720,1253517,1264970,1275871,1286427,1296807,1306853,1316636,1326097,1335178,1344046,1352666,1361054,1369201,1376836,1384707,1392346,1399899,1406995,1414085,1420961,1427572,1434110,1440419,1446546,1452418,1458324,1464174,1469879,1475445,1480832,1486163,1491295,1496257,1501208,1506036,1510880,1515514,1520162,1524670,1529098,1533311,1537510,1541692,1545825,1549756,1553643,1557455,1561184,1564909,1568517,1572165,1575789,1579248,1582678,1586005,1589330,1592620,1595799,1599055,1602146,1605183,1608148,1611116,1614110,1617000,1619858,1622664,1625407,1628078,1630683,1633316,1635874,1638467,1641005,1643466,1645931,1648310,1650614,1652982,
2007,1719,14655,43829,85051,133349,184809,237118,289035,339594,387478,433667,476947,518282,557575,594491,629193,662221,693670,723513,752540,779748,805649,830530,854095,876649,898056,918638,938366,957458,975469,992769,1009697,1025916,1041593,1056577,1071112,1085243,1098799,1111979,1124801,1137059,1149075,1160630,1171976,1182881,1193491,1203900,1213986,1223734,1233025,1242006,1250977,1259727,1268068,1276317,1284396,1292108,1299691,1307222,1314554,1321679,1328754,1335602,1342181,1348641,1354840,1361016,1367092,1373019,1378733,1384402,1390010,1395390,1400630,1405800,1410831,1416025,1420872,1425797,1430581,1435327,1439939,1444424,1448848,1453228,1457383,1461491,1465617,1469563,1473562,1477396,1481282,1485131,1488843,1492529,1496042,1499543,1502902,1506390,1509726,1513107,1516338,1519500,1522654,1525762,1528748,1531789,1534839,1537813,1540562,1543369,1546168,1548957,1551663,1554355,1556946,1559534,1562186,1564726,
2010,348,4989,19142,43551,75617,112719,152351,193484,234746,275396,315459,354016,391448,427451,462235,495255,526587,556424,585445,613328,639836,665307,689916,713126,735379,757079,777825,797851,817084,835876,853598,871023,887819,903751,919635,934807,949384,963402,977116,990343,1003095,1015703,1027774,1039379,1050817,1061850,1072554,1083084,1093306,1103243,1112935,1122408,1131574,1140404,1148996,1157494,1165703,1173776,1181726,1189357,1196856,1204105,1211198,1218279,1225175,1231921,1238643,1245134,1251595,1257904,1263929,1269950,1275735,1281397,1287090,1292513,1297976,1303340,1308612,1313840,1318912,1323927,1328744,1333570,1338311,1342837,1347253,1351511,1355879,1360099,1364280,1368482,1372650,1376693,1380575,1384334,1388144,1392055,1395691,1399319,1402888,1406328,1409812,1413169,1416451,1419789,1423117,1426217,1429416,1432591,1435739,1438828,1441866,1444866,1447755,1450575,1453378,1456149,1459009,
2020,39,1112,6138,17010,34059,56135,82263,111072,141308,172524,204168,235352,266715,296888,326390,355570,383563,411210,437629,463315,488081,512129,535248,557592,579171,600259,620328,639765,658636,676994,694869,712050,728716,744937,760656,776025,790784,805289,818883,832312,845397,858270,870761,882830,894552,905989,917184,927970,938635,949036,959108,968914,978595,987960,997186,1006256,1014958,1023433,1031699,1039790,1047801,1055593,1063130,1070770,1078157,1085305,1092340,1099247,1105829,1112319,1118852,1125340,1131536,1137638,1143696,1149463,1155206,1160828,1166452,1171968,1177274,1182738,1187922,1193016,1198098,1203041,1208021,1212824,1217411,1221957,1226511,1230988,1235463,1239742,1243971,1248069,1252137,1256184,1260114,1263984,1267845,1271623,1275401,1279091,1282711,1286170,1289778,1293387,1296776,1300220,1303501,1306896,1310172,1313339,1316594,1319781,1322883,1325939,1328974,
2030,1,118,1079,4232,10672,20667,33610,49683,67836,87896,109218,131122,153855,176765,199645,222746,245336,268020,290237,311914,333189,354296,374795,394649,414123,432943,451485,469374,486913,504216,520727,536952,552822,568240,583303,597990,612471,626430,640065,653309,666351,678958,691469,703464,715221,726689,737997,748864,759525,769968,780289,790472,800028,809640,818985,828079,836919,845812,854431,862981,871065,879188,886941,894738,902387,909877,917109,924245,931300,938203,944925,951586,958249,964510,970861,977049,983138,989184,994948,1000645,1006361,1012025,1017550,1022968,1028421,1033805,1039006,1044088,1048976,1053892,1058752,1063428,1067970,1072600,1077130,1081713,1086010,1090382,1094574,1098837,1102966,1106992,1111171,1115206,1119200,1123100,1126885,1130708,1134461,1138066,1141736,1145204,1148740,1152258,1155769,1159226,1162593,1165998,1169289,
2040,0,15,263,1297,3975,8753,15792,25244,36878,50247,65164,81044,97857,115388,133470,151715,170309,188870,207328,225602,243869,261950,279692,297050,314480,331528,348366,364896,381193,397044,412394,427425,442195,456735,471040,484880,498422,511900,524982,537710,550354,562599,574473,586264,597751,608982,619990,630783,641226,651550,661603,671469,681102,690570,699883,709101,717947,726947,735414,743829,751994,760060,768065,775926,783540,791056,798397,805629,812702,819693,826550,833277,839894,846389,852922,859239,865168,871282,877238,883070,888933,894685,900370,906003,911387,916698,921928,927255,932378,937420,942429,947214,952013,956630,961326,965858,970398,974997,979442,983776,988040,992256,996365,1000449,1004602,1008557,1012651,1016512,1020226,1024068,1027836,1031456,1035090,1038659,1042211,1045777,1049250,1052653,1056060,
2050,0,1,33,289,1056,2838,5959,10559,16616,24089,32857,42819,54132,65983,78590,91637,105543,119671,133821,148127,162639,177258,191741,206317,220741,235189,249397,263619,277736,291424,305106,318492,331712,344851,357520,370094,382448,394573,406563,418353,430041,441331,452470,463433,474115,484674,494974,505222,515154,524977,534657,543832,553173,562210,571202,580098,588894,597458,605998,614218,622512,630355,638070,645791,653379,660751,668042,675218,682273,689228,695922,702647,709330,715831,722163,728422,734522,740576,746371,752328,758155,763872,769519,775065,780483,785988,791345,796587,801876,807027,812081,817133,822021,826671,831388,836024,840589,845259,849865,854165,858591,862887,867350,871550,875858,879942,883922,887929,891937,895814,899607,903328,907196,910705,914423,918092,921664,925222,928769,
2060,0,0,2,44,198,636,1582,3291,5658,9048,13474,18615,24658,31308,38731,46923,55679,64881,74655,84614,94955,105509,116319,127308,138230,149313,160246,171459,182576,193966,205005,216138,227041,237975,248598,259186,269630,280012,290438,300663,310808,320780,330600,340298,349917,359267,368629,377998,386978,396189,405023,413701,422344,430688,439051,447320,455254,463221,471037,478812,486398,493947,501264,508684,515744,522760,529738,536640,543511,550234,556913,563329,569722,576153,582447,588442,594560,600482,606299,611918,617565,623090,628682,634038,639249,644669,649965,655163,660035,665045,670060,675030,679810,684565,689278,693976,698698,703191,707736,712172,716543,720830,725092,729233,733276,737408,741491,745494,749469,753425,757305,761131,764884,768602,772371,776133,779760,783376,786865,
2070,0,0,0,0,14,80,222,595,1292,2366,3857,5788,8354,11438,14997,19037,23621,28654,34007,39924,45956,52514,59367,66436,73682,81245,88879,96435,104370,112276,120192,128181,136203,144462,152734,160844,168883,176889,184998,193164,201221,209116,217117,225030,232966,240925,248589,256325,263895,271470,278864,286267,293726,301035,308318,315439,322457,329333,336218,342941,349619,356290,362802,369137,375524,381960,388304,394452,400530,406672,412823,418649,424630,430523,436231,441870,447628,453098,458522,463803,469073,474289,479446,484490,489571,494514,499481,504295,509164,513961,518775,523382,528074,532671,537184,541608,545920,550463,554834,559151,563435,567597,571796,575803,579870,583897,587857,591701,595666,599491,603212,606898,610609,614328,617931,621513,625124,628587,632031,
2080,0,0,0,0,0,4,15,60,155,340,648,1145,1792,2692,3796,5206,6792,8737,10993,13500,16302,19316,22576,26168,29936,33860,38114,42399,46941,51459,56367,61224,66188,71352,76658,82075,87416,92897,98547,104237,109734,115359,120964,126530,132271,138125,143833,149483,155057,160840,166539,172131,177713,183356,189032,194565,200085,205575,211024,216479,221859,227423,232729,238065,243320,248542,253763,258802,264053,269137,274165,279155,284094,288937,293901,298773,303660,308275,312913,317545,322215,326725,331223,335781,340236,344592,348939,353349,357653,361879,366013,370267,374417,378533,382583,386573,390565,394445,398275,402150,405950,409648,413469,417154,420785,424452,428049,431672,435227,438804,442376,445862,449289,452652,456143,459418,462757,465909,469083,
2090,0,0,0,0,0,0,0,1,13,30,72,145,256,443,707,1079,1586,2183,2881,3713,4716,5956,7253,8714,10343,12111,13997,16097,18309,20627,23032,25710,28452,31293,34194,37204,40302,43627,46992,50345,53835,57344,60965,64680,68365,72144,75921,79790,83589,87418,91322,95170,99125,103041,106949,110870,114882,118945,122917,126826,130744,134686,138687,142802,146717,150731,154715,158710,162643,166578,170510,174323,178126,182024,185917,189753,193508,197331,201093,204872,208646,212447,216087,219838,223470,227110,230594,234206,237747,241277,244744,248284,251724,255233,258655,262036,265397,268736,272021,275377,278538,281820,285058,288165,291396,294597,297823,300984,304203,307236,310155,313191,316129,319079,322022,324865,327759,330667,333528,
2100,0,0,0,0,0,0,0,0,0,0,1,6,17,30,62,119,188,276,388,581,806,1072,1393,1766,2233,2758,3351,3987,4752,5512,6435,7419,8463,9596,10805,12053,13411,14818,16323,17773,19375,21060,22702,24498,26357,28292,30313,32388,34438,36566,38739,40907,43081,45338,47556,49851,52194,54550,56913,59300,61700,64114,66627,69171,71793,74406,76989,79597,82195,84764,87404,90037,92754,95406,98055,100692,103298,105898,108518,111143,113750,116431,119030,121615,124204,126842,129476,132099,134762,137447,140158,142673,145178,147712,150300,152830,155367,157958,160346,162812,165196,167664,170107,172586,174973,177425,179858,182293,184619,187076,189474,191881,194307,196705,199083,201417,203701,206039,208299,
2110,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,5,8,19,28,40,61,80,112,158,210,298,380,503,633,788,937,1157,1386,1625,1889,2232,2559,2946,3343,3797,4261,4760,5284,5883,6481,7092,7786,8541,9313,10106,10960,11771,12622,13579,14562,15461,16422,17417,18486,19603,20663,21779,22937,24101,25260,26475,27708,28933,30279,31588,32941,34194,35487,36872,38224,39556,40908,42278,43712,45111,46533,48017,49532,51046,52475,53970,55461,56939,58393,59920,61435,62967,64551,66095,67695,69289,70825,72300,73867,75430,77045,78671,80180,81794,83335,84880,86426,88053,89648,91235,92768,94357,95960,97578,99114,100704,102302,103822,105308,
2120,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,8,12,15,20,30,40,54,68,81,105,121,155,199,225,276,324,395,464,531,619,721,816,929,1043,1174,1318,1458,1634,1799,1981,2173,2378,2615,2851,3109,3357,3655,3937,4202,4495,4818,5155,5476,5825,6205,6539,6937,7370,7763,8184,8658,9133,9592,10048,10531,11014,11468,11970,12482,13019,13549,14118,14681,15286,15856,16395,16972,17576,18147,18770,19383,20013,20643,21310,21919,22597,23238,23901,24560,25259,25950,26620,27242,27916,28633,29366,30104,30797,31565,32294,33021,33727,34485,35297,
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2161113,33523,111528,206001,300469,389682,471296,545071,612878,674087,729427,779704,825889,868652,907848,944122,977851,1009226,1038499,1066021,1091923,1116235,1139233,1160688,1181143,1200788,1219088,1236937,1253711,1269763,1285098,1299772,1313497,1326847,1339823,1352062,1363923,1375312,1386222,1396886,1406923,1416863,1426292,1435591,1444339,1453012,1461437,1469559,1477388,1485006,1492266,1499509,1506313,1513214,1519736,1526119,1532237,1538246,1544096,1549781,1555400,1560887,1566253,1571467,1576586,1581659,1586475,1591371,1595944,1600487,1604823,1609068,1613313,1617441,1621501,1625450,1629486,1633349,1637055,1640755,1644426,1648028,1651491,1654741,1658000,1661289,1664450,1667546,1670607,1673650,1676670,1679606,1682458,1685286,1688074,1690850,1693505,1696163,1698789,1701390,1703830,1706334,1708811,1711185,1713556,1715961,1718239,1720484,1722745,1724914,1727018,1729158,1731250,1733331,1735358,1737427,1739405,1741357,1743275,1745169,
21793,8440,42940,98160,163307,231501,297947,361103,420888,476633,528167,576662,621622,663190,702415,738926,773305,805167,835629,864321,891205,916744,940983,963904,985989,1006736,1026226,1045219,1063356,1080697,1097251,1113233,1128289,1142883,1156765,1170442,1183570,1196364,1208465,1220261,1231383,1242424,1253123,1263323,1273165,1282626,1291970,1301050,1309822,1318319,1326596,1334786,1342575,1350240,1357489,1364657,1371762,1378656,1385309,1391782,1398011,1404174,1410174,1416104,1421711,1427234,1432639,1438043,1443163,1448415,1453370,1458258,1463133,1467801,1472402,1476978,1481498,1485830,1490124,1494400,1498558,1502557,1506525,1510321,1514147,1518010,1521613,1525208,1528758,1532161,1535478,1538817,1542143,1545385,1548561,1551662,1554630,1557635,1560637,1563672,1566596,1569390,1572199,1575079,1577676,1580346,1582911,1585510,1588061,1590523,1593020,1595532,1597993,1600477,1602864,1605169,1607451,1609742,1611897,1614155,
21810,3157,21485,57679,105683,159057,214093,268541,321449,372287,420274,465626,508462,548839,586962,622735,656431,688100,718287,746848,773898,799706,824075,847400,869730,891127,911580,931007,949465,967292,984338,1000534,1016348,1031743,1046221,1060499,1073986,1087121,1099686,1111926,1123658,1135332,1146353,1157080,1167473,1177318,1187141,1196851,1206241,1215319,1224023,1232509,1240811,1248946,1256644,1264244,1271758,1278958,1286078,1292957,1299610,1306057,1312328,1318604,1324657,1330554,1336484,1342253,1347831,1353327,1358714,1363895,1369055,1374074,1378990,1383805,1388476,1393065,1397686,1402194,1406591,1410953,1415256,1419338,1423444,1427484,1431368,1435223,1438982,1442672,1446303,1449851,1453489,1456985,1460440,1463718,1467066,1470334,1473501,1476620,1479728,1482791,1485866,1488771,1491632,1494460,1497377,1500143,1502917,1505653,1508375,1511039,1513561,1516179,1518733,1521270,1523663,1526059,1528549,1530893,
2191,818,8525,28398,59381,97388,139458,183097,227027,270444,312180,352876,391896,429046,464715,498613,530843,561084,590172,618120,644948,670404,694525,717861,739949,761065,781560,800954,819936,838034,855663,872550,888949,904709,919784,934591,948720,962237,975186,987929,1000432,1012173,1023709,1034900,1045835,1056502,1066868,1076724,1086340,1095744,1104896,1113840,1122568,1131078,1139224,1147115,1154985,1162587,1170060,1177290,1184419,1191430,1198168,1204884,1211177,1217526,1223705,1229775,1235596,1241462,1247104,1252771,1258245,1263625,1268755,1273914,1278988,1283966,1288884,1293640,1298399,1302979,1307492,1311967,1316458,1320869,1325049,1329290,1333322,1337289,1341170,1345070,1348885,1352573,1356275,1359896,1363478,1366967,1370375,1373758,1377217,1380634,1383852,1387105,1390184,1393245,1396374,1399377,1402407,1405300,1408202,1411020,1413860,1416632,1419400,1422133,1424802,1427392,1429893,1432382,
2200,117,2431,10660,26451,49028,76503,107492,140281,173931,207655,241090,274123,306242,337553,367742,396939,424981,452452,478669,503786,528090,551464,573861,595483,616190,636372,655462,673910,692009,709416,726333,742548,758126,773368,788074,802495,816416,829810,843021,855671,867908,879974,891557,902807,913692,924292,934700,944617,954471,964148,973443,982677,991767,1000558,1009026,1017273,1025308,1033008,1040650,1048223,1055635,1062708,1069664,1076590,1083359,1089929,1096234,1102592,1108808,1114872,1120799,1126519,1132227,1137848,1143372,1148812,1154005,1159199,1164438,1169458,1174327,1179125,1183895,1188364,1192964,1197466,1201856,1206286,1210519,1214777,1218898,1223027,1227037,1231081,1234928,1238817,1242551,1246304,1249878,1253528,1256976,1260456,1263968,1267437,1270691,1273931,1277158,1280401,1283600,1286734,1289790,1292755,1295855,1298756,1301670,1304498,1307400,1310168,1312888,
2210,8,356,2590,8395,18646,33033,50695,71286,93692,117525,142358,167442,192540,217506,242077,266552,290681,314199,336830,359027,380493,401570,421813,441669,461058,479858,497918,515338,532291,548933,565059,580484,595780,610532,624890,638882,652564,665747,678802,691327,703575,715508,727070,738399,749385,760317,770824,781097,790981,800691,810102,819487,828564,837561,846443,854891,863413,871540,879310,887248,894902,902407,909622,916806,923789,930685,937430,944004,950340,956601,962809,968927,974996,980783,986551,992236,997806,1003248,1008627,1014072,1019312,1024529,1029566,1034552,1039472,1044244,1048952,1053676,1058150,1062628,1067115,1071383,1075537,1079748,1083919,1087983,1092075,1096086,1099897,1103753,1107476,1111142,1114986,1118651,1122279,1125717,1129252,1132675,1136043,1139332,1142681,1145993,1149213,1152438,1155622,1158797,1161909,1164919,1167899,
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2750,158,2635,11116,26631,48202,74069,102543,132653,163367,193973,223803,253364,281804,308906,335519,360989,385907,409739,432685,454448,475228,495623,515222,533939,552124,569808,586656,602767,618367,633614,648325,662585,676303,689499,702415,714706,727018,738626,749930,761029,771750,782270,792528,802250,811869,821117,830130,839005,847586,856029,864488,872388,880092,887740,895380,902666,909694,916803,923315,929870,936484,942716,948789,954908,960825,966642,972369,977956,983392,988817,994149,999253,1004313,1009255,1013993,1018846,1023561,1028119,1032733,1037181,1041623,1045984,1050157,1054250,1058279,1062358,1066356,1070207,1074095,1077791,1081586,1085307,1088835,1092277,1095750,1099153,1102584,1105876,1109106,1112244,1115408,1118604,1121698,1124696,1127607,1130465,1133362,1136170,1138990,1141786,1144528,1147161,1149940,1152539,1155211,1157753,1160257,1162791,1165353,
2760,33,969,5245,14183,28176,46122,67310,90271,114521,139324,164410,190012,214772,239205,263112,286250,308850,330838,352062,372688,392486,411797,430621,448469,465723,482487,498812,514560,529989,544528,558816,572751,586188,599206,611857,624136,636222,647789,658991,669925,680603,690937,701220,711073,720799,730129,739229,748199,756854,765292,773592,781763,789655,797342,804990,812390,819513,826506,833265,840007,846540,853073,859414,865647,871648,877607,883440,889192,894655,900069,905416,910714,915834,920800,925782,930651,935407,940142,944802,949416,953911,958386,962660,966844,971016,975212,979315,983379,987331,991193,995101,998811,1002535,1006172,1009804,1013410,1016916,1020265,1023570,1026873,1030257,1033484,1036660,1039736,1042846,1045881,1048951,1051818,1054773,1057689,1060566,1063429,1066288,1069001,1071716,1074377,1077042,1079580,1082116,
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2780,0,49,543,2220,5666,11500,19454,29384,41116,54198,68599,83556,98819,114550,130806,147114,163446,179589,195781,211883,227613,243020,257925,272790,287429,301383,315301,328737,342096,355076,367827,380232,392484,404222,415939,427169,438247,448861,459302,469401,479558,489332,498866,508231,517482,526437,535398,543899,552477,560726,568896,576738,584403,592101,599515,606732,613902,621040,627856,634518,641098,647430,653703,660051,666089,672176,678173,684092,689818,695504,701000,706380,711700,716977,722098,727142,732010,736965,741785,746442,751001,755655,760108,764522,768935,773246,777457,781619,785671,789607,793688,797632,801462,805415,809158,812903,816531,820165,823680,827096,830479,833982,837240,840602,843900,847206,850332,853451,856509,859433,862325,865184,868137,871086,873975,876873,879806,882513,885342,
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4060,0,4,92,534,1662,3841,7222,11838,17508,24364,32211,40518,49590,59078,68933,78891,89080,99190,109525,119967,130159,140390,150409,160528,170555,180253,189957,199318,208637,217707,226567,235265,243906,252266,260658,268619,276404,284141,291665,299103,306429,313434,320471,327255,333877,340367,346758,353119,359312,365298,371177,376971,382668,388236,393625,398952,404312,409289,414310,419147,423788,428531,433183,437711,442197,446567,450946,455106,459299,463302,467333,471408,475265,478973,482738,486361,489918,493436,496953,500348,503733,506887,510140,513422,516475,519597,522732,525787,528616,531484,534317,537045,539814,542575,545180,547727,550367,552914,555427,557928,560325,562762,565082,567386,569673,571982,574171,576357,578498,580653,582863,584969,586875,588855,590867,592829,594767,596697,598580,
4070,0,1,7,88,422,1103,2402,4408,7154,10681,15054,19874,25220,31158,37308,43951,50986,58227,65672,73268,80900,88464,96135,103885,111688,119530,127061,134577,142170,149661,156839,164110,171397,178350,185404,192278,199087,205683,212118,218592,224924,231165,237502,243708,249700,255464,261148,266732,272268,277785,283065,288299,293495,298508,303566,308364,313162,317773,322440,327083,331459,335915,340156,344316,348467,352575,356495,360366,364223,368017,371779,375586,379246,382931,386420,389863,393347,396582,399867,403146,406419,409542,412536,415636,418599,421487,424479,427329,430095,432754,435370,438083,440829,443517,445976,448481,451033,453546,455992,458382,460780,463182,465523,467827,470096,472279,474513,476680,478797,480916,482900,484956,486924,488938,490881,492890,494808,496722,498662,
4080,0,0,1,7,50,185,506,1085,1958,3277,4962,7106,9580,12493,15763,19367,23258,27356,31734,36270,41086,46141,51276,56491,61783,67171,72499,77950,83354,88690,94218,99549,105070,110458,115883,121261,126485,131748,137004,142181,147214,152300,157372,162260,167129,172093,176713,181410,185967,190541,194910,199231,203708,208024,212374,216606,220723,224808,228887,232800,236736,240584,244460,248374,252059,255711,259278,262863,266285,269720,273001,276300,279597,282873,286034,289228,292303,295383,298431,301508,304472,307375,310112,313014,315749,318409,321033,323624,326331,328937,331328,333890,336332,338807,341190,343621,345976,348268,350456,352693,354852,357129,359268,361371,363488,365544,367618,369703,371714,373730,375722,377575,379536,381460,383348,385187,386988,388787,390566,
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48947,4756,26476,63535,109460,158396,207085,254357,299017,340944,379917,416397,450566,482240,511738,539018,564689,588872,611669,633119,653402,672494,690544,707561,723722,738977,753462,767216,780470,792996,805008,816302,827382,838059,848236,857896,867332,876302,884836,893144,901228,908767,916096,923213,929952,936591,943004,949133,955085,960793,966325,971698,977005,981983,986834,991679,996340,1000815,1005128,1009434,1013490,1017485,1021378,1025230,1028867,1032494,1036049,1039498,1042824,1045964,1049173,1052189,1055230,1058174,1061029,1063812,1066501,1069199,1071779,1074410,1076850,1079171,1081497,1083841,1086148,1088287,1090566,1092646,1094674,1096727,1098743,1100819,1102729,1104576,1106426,1108152,1109779,1111533,1113283,1115018,1116567,1118184,1119724,1121285,1122823,1124301,1125777,1127270,1128676,1130052,1131364,1132617,1133966,1135275,1136546,1137778,1138969,1140122,1141293,1142454,
4903,1516,12140,34679,65863,102147,140460,178950,216807,253134,287592,320251,351163,380406,407933,434028,458830,481755,503619,524292,543754,562370,579826,596730,612627,627689,641895,655759,668887,681368,693473,704819,715724,726366,736623,746465,756090,765356,774156,782586,790552,798292,805777,813032,819996,826807,833373,839614,845811,851563,857472,863045,868509,873686,878859,883965,888770,893314,897899,902289,906396,910688,914762,918655,922481,926182,929831,933377,936875,940283,943458,946676,949772,952824,955877,958753,961566,964387,967122,969768,972461,974919,977399,979785,982064,984384,986664,988902,991144,993321,995402,997432,999444,1001377,1003351,1005140,1007010,1008814,1010632,1012380,1014093,1015780,1017394,1018976,1020579,1022113,1023637,1025109,1026580,1028005,1029393,1030792,1032160,1033521,1034833,1036099,1037350,1038606,1039830,1041001,
4910,337,4246,15421,33913,57558,84929,113710,143167,172340,201367,229067,255718,280916,305401,328770,351010,372543,392800,412315,430539,448080,464715,480656,495813,510421,524495,537827,550558,562823,574548,585984,597039,607453,617517,627133,636482,645437,654099,662638,670812,678586,686110,693428,700505,707280,713819,720142,726357,732279,738208,744047,749614,754879,759974,765027,769989,774777,779419,783978,788474,792679,796914,801065,804895,808761,812474,816095,819635,823058,826559,829917,833179,836223,839289,842294,845140,848079,850890,853623,856232,858782,861324,863791,866226,868661,870988,873247,875428,877639,879766,881912,883903,885954,887947,889916,891826,893670,895524,897333,899159,900856,902551,904232,905896,907492,909099,910649,912128,913620,915061,916527,917938,919405,920783,922107,923478,924800,926055,927298,
4920,115,1948,8335,20266,36980,57269,79604,103411,127967,152155,176346,199741,222493,244333,265465,285787,305602,324605,342995,360422,376837,392633,407794,422293,436300,449649,462684,475113,487012,498390,509511,520234,530579,540267,549833,559008,567839,576420,584753,592733,600441,607971,615115,622023,628897,635509,641969,648237,654268,660121,665651,671254,676627,681938,686972,691829,696572,701246,705808,710254,714530,718660,722774,726779,730573,734325,738060,741646,745078,748416,751778,755012,758328,761517,764583,767443,770402,773255,776050,778630,781331,783998,786558,788980,791392,793794,796162,798432,800647,802938,805145,807302,809363,811431,813325,815218,817141,819045,820974,822838,824719,826417,828140,829855,831500,833100,834651,836205,837730,839228,840699,842140,843558,844892,846293,847612,848897,850234,851518,
4930,33,757,3858,10752,21519,35766,52263,70358,89427,109428,129398,149326,168852,187966,206765,224900,242498,259299,275681,291310,306504,321191,335317,349090,362129,374719,386821,398592,409867,420788,431371,441597,451635,461090,470247,479127,487734,496147,504152,512079,519680,527042,534060,540865,547447,554039,560293,566431,572257,577957,583614,588957,594303,599441,604481,609356,614045,618667,623110,627450,631691,635859,639909,643904,647791,651535,655233,658900,662373,665881,669229,672552,675774,679012,682052,685009,687965,690818,693686,696474,699198,701798,704326,706766,709173,711500,713837,716107,718389,720726,722937,725152,727150,729102,731119,733089,735034,737036,738977,740790,742695,744425,746105,747943,749642,751279,752858,754430,756036,757560,759039,760542,761997,763327,764646,766095,767446,768824,770189,
4940,5,218,1491,4827,10811,19520,30510,42998,56969,71930,87506,103411,119358,135208,150854,166354,181561,196293,210554,224654,238229,251440,264244,276602,288541,300142,311559,322574,332961,343220,353173,362656,372032,380853,389550,397926,405991,413773,421522,428839,436272,443236,450124,456657,463140,469430,475480,481445,487058,492559,497866,503063,508066,513088,518009,522803,527473,532108,536491,540857,545192,549291,553278,557238,561065,564718,568395,571850,575266,578635,581899,585114,588514,591650,594641,597668,600576,603363,606098,608877,611487,614215,616757,619303,621768,624119,626533,628868,631116,633390,635609,637721,639842,641937,643941,645876,647804,649747,651637,653448,655338,657155,658918,660682,662463,664154,665747,667263,668852,670347,671891,673392,674793,676255,677634,679074,680453,681790,683092,
4950,1,51,436,1744,4378,8925,15351,23033,31950,42246,53199,64661,76598,88468,100378,112532,124708,136866,148806,160514,171887,183173,194042,204730,215392,225645,235586,245286,254551,263695,272528,281180,289711,297953,306064,313734,321158,328563,335536,342564,349390,355966,362455,368719,374665,380426,386136,391866,397216,402579,407772,412876,417747,422568,427265,431843,436293,440792,445066,449336,453370,457329,461299,465136,468818,472367,475938,479498,482909,486254,489647,492819,495938,499018,502086,504955,507819,510515,513258,515936,518590,521264,523774,526309,528804,531124,533428,535685,537930,539992,542120,544228,546413,548445,550421,552372,554300,556116,557985,559871,561734,563519,565335,567020,568769,570400,572090,573626,575157,576784,578325,579801,581238,582623,584059,585448,586860,588196,589458,
4960,0,5,79,427,1393,3246,6139,10108,15084,21036,27720,35168,43047,51397,59929,68962,77994,87021,96008,104966,113956,122933,131845,140645,149236,157731,165991,174162,182277,190227,197775,205121,212377,219477,226396,233139,239795,246341,252571,258684,264768,270737,276455,282232,287693,293109,298272,303202,308163,313161,317895,322538,327169,331631,336083,340441,344693,348847,352885,356898,360821,364505,368154,371814,375321,378686,382130,385501,388644,391730,394788,397855,400854,403890,406691,409496,412197,414807,417332,419952,422562,425093,427559,429892,432281,434495,436768,438974,441178,443319,445371,447445,449402,451377,453309,455206,457113,458932,460773,462586,464415,466167,467867,469575,471238,472883,474529,476170,477678,479120,480557,482032,483514,484926,486334,487693,488982,490367,491743,
4970,0,0,7,72,334,995,2201,4025,6482,9582,13463,17730,22708,27952,33601,39518,45776,52065,58618,65179,71959,78616,85457,92220,98883,105681,112306,118900,125377,131794,138171,144419,150478,156440,162443,168252,173967,179476,184982,190390,195620,200684,205759,210855,215773,220393,224899,229421,233971,238366,242801,246983,251173,255185,259186,263154,266929,270680,274296,277944,281422,284841,288187,291466,294706,297862,300993,303961,306879,309847,312691,315566,318346,321091,323817,326408,328970,331540,334095,336578,338944,341294,343625,345901,348181,350305,352441,354595,356636,358652,360668,362511,364521,366464,368336,370153,371978,373791,375578,377292,379009,380679,382339,383953,385445,387008,388528,390006,391487,392951,394442,395876,397372,398717,400100,401397,402729,404038,405298,
4980,0,0,0,6,52,195,551,1145,2109,3431,5156,7185,9623,12428,15584,18901,22537,26392,30386,34764,39190,43757,48392,52972,57632,62314,67078,71918,76765,81455,86274,90950,95689,100350,105039,109711,114122,118519,122968,127301,131524,135736,139869,144068,148079,151981,155720,159563,163311,166991,170757,174326,177918,181475,184917,188216,191486,194714,197855,201039,204098,207130,210114,213071,215896,218752,221525,224300,226955,229516,232159,234644,237144,239531,241980,244345,246702,248956,251143,253392,255570,257764,259789,261902,263934,265902,267816,269719,271563,273413,275236,276974,278781,280532,282163,283952,285648,287218,288844,290433,291919,293466,294987,296447,297908,299390,300863,302224,303622,304942,306280,307604,308885,310200,311451,312714,313984,315218,316391,
4990,0,0,0,0,2,19,69,179,391,729,1194,1910,2799,3823,5076,6492,8228,10087,12070,14177,16520,18864,21411,23980,26719,29468,32339,35326,38248,41267,44285,47399,50514,53643,56772,59890,62852,65982,69120,72197,75231,78264,81341,84259,87156,90082,92989,95792,98671,101464,104266,106993,109652,112297,114954,117600,120134,122650,125248,127814,130321,132658,135111,137450,139783,142106,144408,146696,148873,151050,153149,155264,157357,159446,161524,163442,165358,167311,169180,171036,172915,174772,176460,178238,179970,181716,183443,185033,186659,188248,189842,191414,192955,194433,195890,197284,198783,200247,201645,203004,204353,205769,207110,208425,209738,211050,212276,213517,214732,215967,217164,218302,219507,220684,221871,223013,224115,225156,226241,
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7960,1,106,938,3605,8540,16090,25846,37616,50379,64192,78609,93402,108240,122856,137372,151444,165026,178140,190742,202913,214595,225723,236640,246874,256669,265919,274947,283600,291868,299851,307457,314944,321800,328453,334802,340708,346461,352047,357380,362382,367173,371860,376294,380639,384875,388794,392621,396175,399697,403065,406322,409411,412429,415219,418018,420644,423274,425690,428014,430329,432520,434663,436640,438541,440421,442380,444225,445871,447464,449106,450644,452123,453539,454957,456267,457606,458811,460045,461262,462387,463504,464601,465644,466683,467667,468625,469625,470511,471348,472120,472929,473685,474399,475144,475826,476520,477166,477826,478488,479136,479750,480318,480856,481380,481892,482401,482889,483397,483864,484320,484744,485162,485569,485968,486367,486731,487109,487468,487821,
7970,0,20,270,1228,3451,7161,12515,19418,27582,36608,46349,56751,67260,77964,88733,99259,109873,120342,130553,140441,149767,158970,167760,176516,185011,192922,200645,208254,215446,222242,228851,235092,241115,246977,252604,257997,263210,268252,272934,277481,281971,286195,290252,294158,297913,301330,304749,308213,311409,314468,317420,320309,323054,325745,328380,330912,333220,335514,337665,339853,341945,343907,345827,347724,349443,351162,352834,354463,355958,357402,358872,360296,361626,362946,364189,365460,366699,367852,368991,370104,371181,372223,373188,374154,375127,376040,376890,377738,378563,379347,380136,380849,381652,382404,383098,383731,384399,385022,385667,386285,386924,387457,388006,388527,389053,389563,390058,390569,391101,391557,391969,392405,392796,393193,393543,393904,394278,394622,395002,
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8130,590,6462,21169,43732,71266,101040,132019,162728,192083,220100,246934,271945,295566,317483,337760,357068,375192,391763,407673,422506,436224,449198,461392,473045,483854,493899,503381,512396,520999,529046,536611,543980,550880,557410,563441,569367,574877,580295,585315,590075,594762,599210,603378,607304,611004,614657,618072,621355,624654,627605,630508,633367,636061,638604,641009,643299,645528,647774,649919,652000,653942,655772,657599,659413,661138,662749,664355,665868,667321,668712,670105,671427,672616,673817,674988,676170,677291,678367,679415,680398,681365,682297,683197,684069,684973,685769,686555,687348,688071,688799,689490,690129,690796,691433,692047,692612,693207,693760,694283,694798,695304,695789,696251,696694,697122,697581,698017,698439,698842,699262,699643,700016,700396,700767,701088,701399,701744,702049,702347,
8140,188,2603,10363,23962,42433,63896,86829,110515,134192,157417,179599,200992,221255,240567,258513,275735,291721,306990,321515,334971,347624,359752,371044,381919,392125,401680,410761,419341,427528,435209,442422,449383,456063,462527,468410,474232,479622,484815,489747,494447,498920,503215,507263,511162,514853,518358,521767,525066,528175,531128,533899,536616,539314,541817,544215,546545,548748,550966,553108,555139,557092,558967,560759,562422,564113,565756,567205,568706,570151,571654,573005,574299,575579,576835,578007,579122,580196,581273,582342,583360,584393,585273,586195,587065,587930,588762,589536,590285,591084,591829,592510,593190,593855,594504,595112,595685,596242,596819,597401,597949,598464,598993,599491,599946,600385,600838,601269,601713,602134,602527,602895,603267,603611,603958,604327,604642,604987,605298,605591,
8150,31,880,4293,11679,22637,36395,52334,69469,86951,104682,122141,139144,155853,171875,187139,201771,215838,229202,241771,253812,265182,276140,285961,295652,304916,313719,322081,330060,337648,344813,351708,358275,364502,370373,376105,381453,386654,391433,396067,400607,404849,408903,412799,416569,420119,423558,426858,429991,433060,435966,438779,441483,444099,446592,449006,451256,453459,455495,457510,459436,461397,463225,465005,466632,468356,469930,471529,473002,474401,475753,477097,478367,479582,480814,482044,483208,484288,485370,486413,487368,488305,489207,490110,491005,491879,492720,493502,494299,495067,495818,496474,497184,497818,498410,499032,499623,500193,500746,501309,501847,502355,502877,503372,503849,504279,504746,505168,505598,506003,506389,506785,507207,507580,507956,508278,508591,508888,509210,509476,
8160,10,415,2295,6835,14214,23978,35959,49054,63173,77600,92294,107093,121158,135104,148482,161443,173878,185933,197395,208302,218499,228478,237920,246860,255426,263742,271569,279104,286292,292992,299321,305491,311402,317108,322377,327499,332368,337051,341552,345766,349786,353697,357370,361043,364405,367685,370914,373993,376848,379609,382397,385003,387435,389836,392156,394319,396411,398460,400402,402274,404184,405975,407775,409425,411056,412648,414195,415553,416935,418226,419553,420795,422035,423146,424338,425469,426536,427613,428617,429617,430533,431413,432338,433152,433985,434769,435538,436307,437068,437784,438491,439146,439760,440377,440985,441528,442112,442669,443210,443733,444267,444753,445244,445690,446145,446594,446986,447389,447808,448194,448601,448996,449385,449734,450112,450446,450749,451053,451345,
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83089,7395,34972,77293,125266,174340,221342,264835,305043,342065,375745,406211,434025,459630,483133,504880,524808,542936,559796,575687,590226,603663,616320,627999,638921,649202,658812,668040,676407,684273,691743,698849,705546,711697,717670,723256,728481,733580,738477,742960,747442,751564,755543,759329,762903,766373,769642,772647,775761,778575,781364,784030,786519,788928,791232,793446,795625,797728,799673,801557,803388,805089,806750,808312,809844,811365,812852,814199,815556,816895,818138,819346,820528,821631,822723,823750,824738,825715,826659,827610,828466,829345,830117,830876,831654,832394,833113,833792,834461,835080,835712,836299,836877,837458,838042,838539,839072,839578,840079,840552,841024,841477,841927,842385,842792,843164,843569,843952,844293,844673,844983,845308,845620,845945,846287,846595,846860,847147,847406,847636,
83117,3303,19715,49042,86062,125327,164356,201669,237172,270338,301133,329417,355272,379053,401210,421691,440739,457977,474484,489552,503699,516632,528599,540129,550910,560844,570277,579094,587446,595351,602940,610068,616600,622816,628849,634500,639784,644837,649698,654328,658660,662866,666875,670613,674349,677751,680953,684090,687104,690056,692759,695490,698060,700538,702891,705168,707216,709265,711238,713193,715088,716828,718463,720120,721681,723159,724633,725972,727380,728638,729896,731127,732327,733445,734529,735633,736628,737624,738590,739569,740484,741425,742247,743038,743838,744584,745285,746009,746698,747412,748055,748688,749253,749824,750392,750933,751463,751966,752443,752949,753420,753843,754311,754762,755191,755581,755994,756409,756783,757118,757475,757832,758182,758503,758848,759188,759474,759775,760045,760306,
8325,1212,9820,28112,53774,83421,114376,144764,174622,202915,229792,254672,278272,299985,320345,339207,356598,372822,388131,402464,415790,428360,440194,451168,461520,471287,480514,489198,497450,505153,512352,519319,525878,532215,538112,543698,548900,553971,558823,563272,567583,571710,575708,579440,583039,586425,589749,592871,595857,598652,601420,604067,606574,609004,611329,613583,615736,617690,619789,621704,623547,625319,627027,628678,630294,631810,633264,634663,635997,637321,638634,639917,641122,642275,643419,644581,645576,646619,647598,648522,649451,650345,651197,651978,652769,653549,654299,655053,655698,656414,657068,657716,658332,658942,659506,660083,660638,661188,661694,662217,662677,663140,663603,664055,664473,664843,665251,665644,666021,666387,666749,667119,667457,667779,668097,668423,668709,668991,669294,669554,
8330,391,4155,14262,30247,50451,73086,96552,119965,143255,165758,187056,207092,226186,244088,260730,276437,291431,305326,318414,330689,342394,353344,363574,373385,382707,391347,399629,407347,414707,421605,428196,434414,440360,446066,451462,456713,461652,466339,470790,474975,479031,482956,486619,490090,493454,496666,499784,502774,505520,508171,510743,513161,515686,518015,520205,522300,524360,526387,528274,530200,532017,533720,535425,537003,538544,540020,541472,542872,544168,545423,546677,547945,549015,550097,551205,552221,553182,554149,555124,556066,556964,557821,558666,559456,560235,561012,561712,562414,563116,563764,564423,565027,565622,566195,566782,567327,567877,568381,568859,569295,569762,570213,570647,571090,571493,571874,572251,572615,573012,573386,573730,574087,574404,574716,575075,575392,575688,576005,576301,
8340,152,2220,8574,19617,34973,52782,71982,91635,111058,130326,149036,166872,183821,200304,215757,230179,244048,256930,269113,280734,291563,301944,311617,320930,329709,337940,345791,353291,360440,367113,373480,379533,385252,390656,395803,400655,405366,409860,414196,418386,422383,426191,429823,433340,436545,439679,442633,445510,448288,450962,453475,455891,458199,460440,462594,464669,466695,468694,470652,472443,474189,475881,477474,479025,480558,482073,483479,484822,486087,487341,488579,489789,490923,492010,493048,494139,495115,496081,497018,497964,498883,499690,500546,501363,502132,502870,503600,504282,504964,505655,506273,506884,507511,508125,508699,509255,509765,510257,510748,511230,511734,512183,512615,513048,513447,513844,514215,514650,515023,515370,515756,516098,516445,516786,517100,517419,517726,518015,518298,
8350,65,1009,4777,12082,22634,35881,50657,66396,82332,98481,114510,129978,144651,158810,172458,185515,197631,209357,220616,231239,241306,250797,259832,268591,276515,284297,291649,298926,305555,311929,318009,323699,329234,334398,339436,344197,348750,353120,357304,361267,365051,368678,372266,375633,378840,381934,384897,387762,390399,392975,395457,397855,400176,402462,404604,406747,408765,410665,412552,414329,416003,417573,419158,420698,422194,423604,425019,426295,427582,428788,429981,431117,432226,433295,434369,435410,436409,437359,438270,439201,440034,440851,441687,442502,443281,444092,444840,445509,446230,446892,447562,448134,448720,449329,449883,450440,450986,451453,451929,452432,452904,453360,453799,454219,454630,455032,455443,455820,456213,456587,456946,457263,457587,457915,458262,458574,458886,459163,459401,
8360,13,435,2283,6700,13544,22685,33372,45224,57839,70890,83871,96653,109184,121261,132956,144343,155156,165492,175532,185205,194383,203231,211709,219708,227123,234382,241202,247807,254164,259985,265561,271016,276136,281037,285743,290187,294411,298539,302436,306128,309752,313162,316518,319676,322740,325584,328392,331157,333740,336269,338676,340972,343134,345300,347351,349330,351262,353085,354870,356569,358222,359827,361414,362895,364391,365781,367116,368395,369653,370902,372026,373152,374291,375369,376375,377358,378396,379365,380252,381088,381954,382783,383589,384406,385169,385923,386644,387296,387955,388594,389205,389787,390356,390931,391448,391944,392452,392975,393470,393975,394468,394914,395349,395740,396147,396557,396939,397293,397671,398041,398407,398732,399090,399417,399716,399992,400287,400606,400876,
8370,1,141,1014,3279,7345,13040,20347,28846,38048,47848,57703,67923,78132,87911,97751,107384,116443,125402,133892,142342,150255,157894,165122,172183,178933,185383,191526,197467,203175,208596,213737,218653,223301,227793,232103,236226,240232,243980,247613,251124,254589,257827,260950,263869,266734,269489,272201,274752,277209,279579,281877,284044,286170,288135,290116,291978,293844,295641,297367,299072,300694,302231,303721,305176,306573,307908,309196,310483,311668,312829,313960,315036,316067,317085,318097,319083,319972,320852,321706,322586,323442,324249,324998,325708,326451,327183,327906,328573,329198,329847,330455,331062,331615,332194,332731,333240,333743,334249,334736,335184,335656,336092,336583,336984,337388,337750,338101,338464,338800,339141,339471,339821,340168,340446,340757,341087,341363,341650,341951,
8380,0,38,344,1314,3307,6514,10877,16332,22599,29357,36581,44048,51579,59042,66570,74187,81716,88852,95831,102596,109214,115679,121902,127871,133695,139305,144622,149839,154814,159536,163953,168322,172578,176577,180526,184146,187832,191428,194731,197883,200972,203937,206813,209491,212143,214673,217149,219479,221831,224009,226077,228126,230078,231912,233657,235455,237108,238724,240353,241830,243298,244770,246157,247411,248724,249982,251216,252399,253554,254625,255744,256799,257788,258761,259680,260633,261509,262331,263161,263975,264726,265492,266254,266957,267650,268362,268978,269650,270275,270854,271425,271967,272532,273065,273578,274089,274582,275066,275526,275947,276400,276837,277217,277621,277983,278291,278660,279004,279338,279695,280021,280349,280647,280948,281229,281481,281737,282007,282247,
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8517,1383,10330,28199,52697,80654,109405,137711,165182,191236,215821,238578,260096,279986,298750,315744,331749,346677,360732,373832,386165,397567,408269,418351,428020,437163,445459,453328,460728,467868,474613,480796,486832,492542,498014,503093,508059,512713,517127,521471,525466,529304,532941,536412,539756,542974,546093,549067,551826,554473,557061,559465,561835,564076,566268,568323,570384,572260,574142,575967,577727,579390,581105,582608,584124,585632,586969,588371,589637,590890,592152,593342,594474,595506,596558,597571,598537,599481,600389,601265,602169,602962,603793,604565,605309,606013,606772,607470,608138,608751,609339,609929,610514,611100,611624,612140,612655,613155,613609,614107,614540,614998,615465,615856,616275,616669,617061,617424,617779,618156,618538,618853,619165,619446,619753,620065,620367,620638,620913,621159,
8520,661,5944,18366,36813,58755,82653,106432,130066,153081,175050,195813,215290,233650,251001,267095,282168,296419,309681,322093,333856,344727,355153,364707,373909,382561,390542,398320,405642,412604,419104,425278,431138,436707,442032,447084,451892,456547,461035,465141,469146,472874,476498,480025,483405,486544,489607,492467,495241,497867,500492,503022,505338,507619,509868,511830,513724,515726,517532,519335,521019,522698,524294,525806,527335,528729,530110,531465,532795,534060,535248,536360,537507,538570,539643,540667,541631,542573,543507,544411,545298,546131,546928,547766,548534,549281,549988,550647,551318,551931,552524,553109,553715,554266,554777,555307,555856,556367,556837,557345,557835,558268,558637,559031,559445,559841,560202,560562,560941,561295,561647,561983,562284,562576,562870,563173,563483,563761,564045,564327,
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9101,185,2060,7370,16382,27995,41448,55994,70839,85519,100054,114088,127289,140199,152342,163845,174841,185330,195124,204510,213401,221671,229460,236964,244073,250705,257110,263134,268874,274426,279468,284393,289053,293440,297736,301849,305710,309381,312946,316290,319534,322622,325532,328425,331214,333910,336418,338881,341181,343424,345576,347657,349635,351497,353348,355106,356793,358456,360005,361529,362988,364396,365791,367166,368440,369692,370857,372076,373178,374310,375348,376317,377230,378192,379097,379916,380790,381642,382362,383092,383845,384589,385297,385997,386656,387299,387929,388548,389131,389676,390269,390791,391331,391820,392310,392785,393240,393662,394061,394474,394854,395240,395632,396025,396364,396723,397065,397415,397721,398044,398350,398623,398922,399215,399514,399799,400048,400309,400552,400776,
9110,47,854,3581,8764,16115,25268,35636,46628,57958,69463,80701,91664,102548,112854,122762,131948,140923,149436,157603,165295,172627,179787,186526,192937,198965,204750,210348,215628,220816,225668,230138,234487,238570,242532,246340,249991,253512,256778,259916,263067,265904,268669,271293,273866,276405,278738,281103,283246,285379,287311,289265,291171,292966,294742,296485,298175,299722,301290,302720,304108,305477,306849,308118,309339,310598,311748,312829,313885,314835,315853,316792,317727,318658,319494,320316,321142,321926,322676,323434,324132,324848,325551,326240,326902,327509,328147,328781,329403,329943,330474,331002,331503,332004,332504,333000,333436,333918,334345,334749,335106,335494,335889,336245,336572,336916,337228,337566,337866,338189,338481,338776,339076,339352,339634,339914,340191,340451,340712,340937,
9120,4,236,1185,3592,7658,13017,19682,27089,35129,43268,51489,59858,68131,76092,83912,91482,98862,105973,112619,119188,125607,131622,137363,142870,148213,153302,158273,163070,167448,171638,175790,179672,183449,186937,190360,193675,196828,199831,202689,205555,208239,210877,213364,215759,218001,220235,222403,224419,226335,228181,230076,231843,233511,235108,236710,238272,239789,241224,242571,243916,245257,246467,247649,248828,250018,251127,252148,253201,254215,255163,255999,256889,257730,258549,259360,260150,260923,261679,262377,263057,263737,264417,265031,265632,266187,266784,267344,267890,268421,268907,269443,269914,270402,270865,271315,271732,272151,272597,273000,273414,273796,274157,274513,274841,275160,275496,275829,276138,276427,276736,277045,277312,277601,277843,278076,278321,278557,278805,279047,
9130,2,35,286,1073,2628,5185,8371,12470,17036,21985,27127,32566,37989,43557,49048,54541,60086,65526,70885,75949,80734,85520,90067,94470,98563,102691,106668,110419,114203,117770,121254,124375,127574,130570,133486,136356,139064,141666,144247,146626,149011,151363,153551,155637,157688,159663,161507,163340,165010,166725,168383,169975,171487,172932,174311,175679,176971,178246,179534,180700,181813,182983,184102,185226,186232,187243,188188,189142,189988,190823,191656,192464,193266,194006,194785,195495,196203,196888,197489,198174,198800,199386,199979,200511,201065,201580,202106,202635,203133,203644,204102,204537,204966,205398,205799,206206,206583,206949,207323,207740,208053,208390,208707,209020,209336,209607,209929,210218,210507,210756,211020,211296,211567,211795,212039,212271,212484,212722,212925,
9140,0,1,24,155,504,1130,2173,3600,5433,7543,10047,12743,15593,18703,21871,25030,28246,31651,34884,38107,41365,44535,47561,50643,53536,56441,59295,62093,64712,67277,69815,72242,74578,76915,79137,81242,83399,85414,87415,89332,91179,93022,94736,96375,98063,99634,101184,102610,104012,105359,106699,107974,109151,110320,111530,112677,113787,114817,115900,116888,117838,118775,119696,120584,121500,122341,123125,123918,124664,125366,126056,126797,127505,128173,128755,129391,129985,130546,131106,131670,132209,132738,133244,133767,134237,134690,135146,135602,136037,136419,136849,137224,137606,137970,138350,138698,139044,139378,139737,140055,140355,140668,140962,141244,141551,141797,142074,142335,142547,142793,143012,143230,143445,143676,143930,144136,144344,144560,144746,
91513083,138099,312096,471520,606486,718375,811943,890874,957113,1013928,1062186,1104462,1140868,1173019,1201515,1227325,1250079,1270550,1288827,1305505,1320507,1334305,1346840,1358433,1369071,1378649,1387481,1395626,1403366,1410592,1417216,1423414,1429256,1434519,1439574,1444083,1448425,1452448,1456248,1459755,1463119,1466372,1469456,1472364,1475122,1477720,1480096,1482385,1484535,1486558,1488459,1490273,1491974,1493653,1495177,1496632,1497996,1499383,1500690,1501891,1503026,1504096,1505109,1506118,1507089,1508024,1508977,1509800,1510593,1511325,1512068,1512784,1513454,1514136,1514731,1515322,1515890,1516400,1516920,1517403,1517887,1518332,1518763,1519176,1519586,1519987,1520365,1520730,1521061,1521391,1521721,1522010,1522328,1522619,1522897,1523167,1523433,1523685,1523937,1524163,1524384,1524596,1524829,1525004,1525206,1525389,1525561,1525753,1525917,1526074,1526213,1526369,1526544,1526705,1526840,1526958,1527075,1527202,1527314,1527447,
916863,32939,113375,212075,309868,399492,479375,549686,611839,667034,715234,758415,796473,830342,860690,888093,912772,935140,955317,973847,990766,1006171,1020473,1033590,1045622,1056597,1066961,1076332,1085250,1093427,1101140,1108340,1115053,1121276,1127184,1132697,1137844,1142626,1147239,1151497,1155478,1159220,1162731,1166089,1169342,1172404,1175176,1177881,1180412,1182865,1185157,1187334,1189429,1191464,1193394,1195175,1196841,1198436,1199925,1201481,1202939,1204244,1205503,1206774,1207943,1208982,1209996,1211045,1212019,1212955,1213844,1214703,1215519,1216332,1217050,1217767,1218488,1219171,1219788,1220413,1221019,1221526,1222105,1222636,1223160,1223629,1224078,1224535,1224960,1225385,1225799,1226217,1226622,1226997,1227354,1227714,1228014,1228335,1228609,1228887,1229153,1229416,1229688,1229932,1230156,1230381,1230613,1230848,1231098,1231317,1231516,1231738,1231908,1232094,1232268,1232429,1232590,1232746,1232904,1233042,
917104,11171,52934,116271,186826,256847,322799,382976,437593,487260,532010,572004,608345,641118,670427,697401,721734,743890,764232,782614,799607,815153,829685,843026,855379,866881,877444,887244,896395,905058,912800,920242,926967,933540,939635,945383,950699,955767,960641,965241,969460,973497,977251,980832,984225,987454,990598,993527,996260,998960,1001463,1003840,1005992,1008125,1010083,1011963,1013748,1015543,1017215,1018823,1020397,1021799,1023229,1024538,1025857,1027049,1028227,1029362,1030408,1031451,1032421,1033408,1034295,1035209,1036052,1036838,1037636,1038350,1039078,1039753,1040372,1041002,1041606,1042162,1042737,1043277,1043806,1044289,1044744,1045210,1045676,1046096,1046504,1046881,1047279,1047645,1048028,1048377,1048707,1049028,1049314,1049604,1049927,1050168,1050435,1050696,1050929,1051178,1051404,1051618,1051833,1052066,1052279,1052463,1052657,1052817,1052994,1053168,1053306,1053468,
9189,2588,18774,51237,94321,141893,190094,236557,280887,322199,360179,395110,427010,456493,483376,508240,531080,551986,571391,589402,605734,621045,635134,648141,660355,671674,682232,692173,701398,709893,717902,725564,732497,739102,745388,751289,756763,761963,766749,771344,775604,779733,783662,787374,790944,794273,797498,800513,803290,806064,808629,811122,813455,815689,817785,819820,821739,823566,825301,826995,828660,830169,831656,833076,834384,835647,836874,838104,839235,840344,841405,842447,843416,844296,845218,846073,846877,847630,848370,849088,849740,850442,851063,851686,852303,852918,853468,853989,854488,854997,855503,855943,856389,856822,857229,857632,858036,858405,858735,859077,859423,859758,860096,860373,860658,860920,861210,861456,861725,861950,862198,862412,862646,862861,863065,863270,863460,863649,863810,864011,
9190,396,5000,17890,39130,65686,95787,126811,158099,188497,217503,245019,270787,294963,317694,338672,358384,376892,393903,409946,424664,438429,451233,463249,474614,484953,494704,504103,512799,520815,528488,535749,542601,548984,555017,560697,566041,571203,576005,580678,584993,589062,592969,596536,600002,603293,606506,609541,612310,615064,617626,620128,622444,624658,626821,628938,630787,632644,634453,636183,637895,639381,640892,642372,643727,645002,646250,647490,648643,649720,650760,651783,652752,653710,654540,655398,656277,657064,657861,658585,659259,659965,660642,661261,661865,662490,663034,663567,664132,664641,665092,665615,666053,666468,666865,667268,667614,667980,668338,668709,669073,669430,669741,670057,670364,670649,670946,671205,671457,671723,671967,672197,672421,672648,672856,673066,673289,673488,673667,673854,
9200,121,2167,9276,22617,41189,63058,86958,111705,136081,160073,183263,205408,226544,246494,265127,282441,298764,314117,328528,342103,354999,366885,378085,388760,398790,407944,416610,424897,432759,440049,446961,453459,459554,465417,470931,476106,480924,485528,489959,494165,498087,501829,505408,508848,512071,515220,518032,520897,523537,526089,528536,530840,533008,535058,537068,538962,540819,542629,544331,545861,547494,549030,550421,551791,553093,554338,555532,556725,557836,558939,559964,560959,561903,562848,563731,564551,565358,566112,566868,567581,568289,568966,569612,570231,570851,571427,571995,572528,573036,573532,574015,574496,574902,575321,575733,576115,576510,576882,577234,577586,577899,578217,578540,578836,579131,579386,579647,579915,580148,580394,580639,580868,581084,581281,581506,581701,581886,582062,582262,
9210,29,846,4362,12207,23948,38939,55886,74313,93395,112484,131492,149723,167302,184158,200231,215406,229857,243772,256778,269233,280664,291307,301593,311372,320572,329273,337355,345080,352382,359213,365716,371857,377541,383154,388384,393307,397987,402381,406544,410520,414271,417844,421193,424533,427727,430650,433473,436217,438685,441176,443538,445802,447918,449903,451886,453779,455618,457310,458856,460456,461942,463392,464740,466055,467394,468646,469812,470911,472040,473072,474059,475065,475994,476852,477681,478509,479313,480044,480768,481476,482133,482802,483421,484058,484658,485201,485719,486279,486778,487266,487747,488241,488658,489072,489524,489913,490255,490627,490971,491339,491692,491992,492300,492586,492883,493167,493440,493688,493947,494205,494443,494686,494909,495121,495352,495526,495719,495903,496074,
9220,8,271,1842,5947,12897,22491,34132,47185,61098,75689,90293,104750,118862,132627,145822,158654,170835,182572,193739,204308,214558,223874,232881,241413,249538,257321,264686,271670,278323,284496,290337,295990,301378,306528,311377,315856,320278,324493,328367,332270,335777,339135,342347,345537,348555,351487,354108,356606,359107,361440,363624,365767,367838,369804,371677,373500,375239,376925,378498,380044,381456,382832,384169,385475,386769,387976,389183,390288,391330,392346,393309,394216,395069,395938,396787,397592,398396,399100,399819,400502,401191,401822,402485,403096,403680,404237,404787,405315,405826,406321,406763,407182,407644,408052,408455,408862,409236,409618,409941,410270,410606,410922,411236,411531,411803,412102,412369,412626,412854,413100,413327,413578,413810,414022,414216,414380,414600,414793,414988,
9230,1,68,677,2468,6141,11644,18844,27378,37157,47400,57852,68623,79492,90242,100731,111077,121113,130669,139930,149030,157671,165898,173642,181039,188211,195002,201232,207408,213173,218676,224005,229095,233781,238391,242670,246793,250825,254588,258128,261446,264701,267867,270834,273729,276465,278996,281472,283761,286148,288271,290312,292350,294267,296084,297845,299514,301103,302579,304060,305520,306892,308254,309536,310761,311981,313108,314199,315241,316236,317159,318044,318911,319722,320521,321282,322023,322739,323468,324149,324829,325463,326085,326677,327241,327796,328328,328832,329328,329856,330340,330785,331227,331639,332053,332471,332835,333209,333576,333928,334258,334584,334913,335246,335560,335802,336054,336320,336568,336807,337019,337236,337443,337655,337858,338067,338275,338451,338628,338798,
9240,0,40,326,1342,3562,7226,12278,18679,25973,33938,42413,51155,60207,69142,78159,86938,95506,103885,111968,119836,127417,134647,141740,148265,154619,160614,166626,172117,177484,182532,187421,192082,196460,200554,204427,208319,212033,215562,218930,222218,225283,228327,231251,233986,236474,238911,241367,243590,245697,247736,249732,251645,253425,255121,256759,258417,259978,261437,262836,264191,265571,266806,268067,269276,270388,271473,272509,273595,274550,275495,276393,277248,278078,278878,279643,280399,281128,281826,282472,283099,283671,284280,284876,285441,285958,286484,287001,287480,287917,288353,288774,289168,289601,289998,290342,290737,291118,291430,291764,292084,292400,292707,293016,293331,293601,293890,294135,294366,294609,294825,295037,295247,295458,295669,295832,296014,296206,296379,296534,
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994308,12235,44434,87082,131507,174048,213622,249597,281884,311176,337419,361261,382605,401878,419391,435332,450190,463655,476172,487584,498124,507820,516907,525383,533251,540452,547279,553554,559610,565193,570505,575290,579943,584298,588380,592190,595945,599506,602829,605913,608826,611602,614263,616792,619132,621338,623405,625494,627356,629129,630860,632504,634174,635738,637239,638533,639872,641183,642411,643615,644678,645740,646792,647808,648739,649673,650500,651342,652142,652877,653629,654355,655085,655758,656384,656991,657571,658149,658660,659180,659668,660155,660603,661029,661449,661897,662280,662652,663035,663381,663742,664093,664425,664714,665020,665322,665608,665858,666141,666402,666664,666871,667092,667304,667529,667730,667913,668096,668287,668454,668622,668776,668946,669106,669263,669406,669545,669701,669841,669955,
99584,5610,25695,55598,89860,124578,157943,188735,217340,243467,267301,289260,309133,327186,343776,358965,372822,385743,397599,408590,418881,428328,437047,445325,452961,460141,466833,472919,478749,484095,489283,494096,498603,502795,506919,510796,514311,517769,520942,524063,526881,529516,532099,534592,536988,539212,541372,543414,545396,547276,549046,550758,552335,553847,555244,556594,557950,559268,560430,561583,562706,563757,564747,565788,566775,567672,568614,569471,570257,571021,571752,572452,573180,573858,574499,575080,575701,576270,576797,577349,577862,578366,578846,579288,579754,580205,580601,581015,581390,581757,582098,582417,582770,583059,583368,583666,583934,584230,584499,584731,584972,585242,585487,585683,585900,586080,586291,586501,586684,586873,587039,587198,587349,587512,587673,587827,587982,588119,588259,588397,
99622,3211,17164,40173,68252,97687,126723,154337,180059,204103,226015,246499,265224,282353,298206,312402,325627,338035,349476,360213,370003,379278,387747,395882,403135,410028,416517,422560,428258,433652,438721,443401,447872,452187,456249,459982,463508,466845,470059,473047,475871,478603,481163,483675,486103,488365,490517,492659,494567,496407,498088,499744,501313,502785,504250,505654,506945,508206,509402,510586,511701,512801,513805,514820,515761,516646,517520,518437,519260,520033,520797,521521,522240,522930,523581,524199,524805,525411,525965,526525,527037,527521,528015,528501,528948,529348,529781,530187,530575,530954,531285,531628,531942,532282,532589,532876,533152,533411,533669,533912,534143,534379,534627,534871,535081,535276,535466,535651,535825,536005,536164,536328,536497,536644,536791,536940,537072,537201,537359,537483,
9972,1657,10632,27710,49375,73628,98210,122462,145311,166740,186786,205388,222597,238538,253361,266907,279608,291348,302058,312050,321466,330272,338550,346142,353422,360021,366209,372227,377793,382930,387892,392426,396802,400907,404747,408424,411895,415187,418314,421284,424091,426761,429376,431728,434098,436315,438420,440434,442259,444077,445849,447535,449123,450580,452007,453378,454712,455957,457175,458340,459411,460488,461511,462478,463399,464335,465213,466039,466874,467704,468483,469189,469858,470533,471165,471759,472381,472962,473486,473990,474466,475004,475440,475958,476387,476830,477270,477664,478054,478417,478730,479076,479404,479709,480023,480335,480636,480890,481146,481408,481655,481874,482094,482333,482562,482762,482972,483172,483334,483491,483668,483846,484011,484177,484325,484450,484580,484725,484861,484993,
9982,716,5958,17176,33093,51983,72013,92031,111540,130175,147829,164411,179827,194433,207989,220672,232359,243233,253325,262721,271740,280307,288044,295360,302151,308369,314278,319973,325363,330422,335189,339738,343907,347936,351855,355494,358898,362092,365089,367996,370661,373220,375745,378070,380336,382499,384495,386497,388333,390168,391886,393465,395056,396555,397948,399299,400536,401816,403010,404128,405242,406307,407336,408290,409274,410139,410993,411822,412606,413347,414133,414868,415535,416220,416844,417482,418049,418602,419126,419664,420191,420682,421143,421559,421973,422380,422798,423197,423588,424000,424353,424699,425029,425348,425635,425937,426195,426449,426713,426962,427230,427479,427687,427880,428095,428287,428504,428727,428912,429095,429256,429438,429598,429735,429895,430077,430206,430345,430475,430617,
9990,279,2917,9913,20710,34367,49572,65604,81405,96963,111953,126337,139841,152574,164609,175947,186709,196430,205627,214391,222622,230369,237632,244461,250742,256598,262395,267755,272870,277612,282078,286225,290220,293987,297637,301072,304337,307395,310288,313027,315607,318067,320452,322704,324898,326993,328952,330860,332662,334411,336074,337624,339131,340505,341874,343180,344410,345666,346861,348018,349094,350145,351149,352091,353056,353937,354750,355541,356336,357122,357805,358495,359129,359789,360383,360984,361543,362085,362621,363155,363671,364162,364645,365098,365515,365926,366325,366672,367057,367404,367750,368095,368458,368740,369042,369318,369608,369876,370112,370376,370635,370883,371124,371316,371514,371711,371886,372087,372300,372499,372667,372842,373004,373170,373308,373474,373616,373741,373881,374001,
10000,84,1200,4781,11323,20165,30667,42366,54459,66618,78534,90059,101360,112145,122349,131930,141140,149798,158096,165946,173145,179906,186398,192578,198524,203965,209049,214008,218694,223154,227349,231205,234940,238437,241776,244938,247987,250906,253667,256292,258784,261127,263427,265624,267744,269741,271620,273401,275123,276765,278375,279930,281353,282756,284026,285264,286504,287648,288777,289854,290893,291875,292827,293777,294650,295581,296372,297149,297900,298636,299317,299973,300591,301198,301790,302385,302915,303474,303983,304463,304924,305382,305825,306262,306686,307086,307453,307827,308204,308593,308936,309277,309611,309930,310230,310490,310754,311023,311295,311548,311790,312001,312225,312432,312637,312825,313014,313202,313394,313573,313776,313946,314119,314272,314419,314564,314687,314832,314958,315073,
10011,33,480,2255,5917,11454,18667,26942,35905,45159,54532,63849,72960,81907,90392,98501,106315,113759,120843,127545,134043,140139,145828,151289,156446,161419,166181,170692,174824,178850,182596,186135,189550,192845,195931,198881,201717,204410,206969,209389,211654,213903,216054,218156,220122,222002,223834,225544,227092,228675,230155,231545,232870,234150,235404,236657,237751,238854,240038,241060,242033,242983,243916,244823,245662,246504,247263,247996,248737,249406,250090,250749,251386,252042,252626,253174,253659,254141,254664,255125,255614,256070,256495,256896,257291,257707,258084,258429,258815,259165,259473,259809,260115,260417,260694,260983,261263,261531,261788,262028,262283,262514,262726,262939,263146,263342,263538,263727,263928,264099,264282,264454,264611,264785,264927,265063,265201,265321,265468,265611,
10020,5,115,775,2530,5570,9710,15087,20954,27342,33964,40637,47446,54170,60841,67408,73625,79711,85588,91200,96570,101817,106640,111272,115782,120070,124109,127935,131584,135151,138528,141775,144826,147796,150617,153237,155845,158253,160664,162881,165030,167115,169054,171002,172806,174542,176102,177651,179149,180599,182011,183388,184611,185823,186993,188102,189242,190340,191335,192294,193246,194108,194933,195718,196515,197273,197978,198716,199382,200030,200662,201288,201842,202429,203001,203523,203997,204487,204946,205385,205805,206223,206619,207014,207398,207741,208088,208408,208752,209083,209401,209701,209993,210274,210545,210816,211095,211352,211599,211829,212060,212272,212483,212697,212881,213054,213243,213406,213564,213738,213911,214080,214238,214382,214529,214677,214801,214925,215030,215139,
10030,1,24,215,804,1954,3894,6536,9669,13399,17586,22053,26536,31184,35824,40396,44963,49439,53762,58016,62142,65988,69890,73580,77122,80581,83892,87019,90056,93008,95898,98591,101178,103652,106024,108185,110401,112451,114502,116349,118168,119947,121653,123384,124909,126394,127765,129122,130440,131674,132917,134045,135213,136258,137293,138301,139249,140218,141082,141940,142811,143620,144371,145114,145789,146502,147164,147782,148347,148951,149494,150027,150546,151039,151544,152012,152491,152924,153345,153770,154143,154512,154891,155229,155595,155929,156241,156550,156856,157157,157445,157742,158012,158271,158522,158784,159021,159269,159511,159731,159946,160133,160327,160514,160683,160849,161000,161161,161320,161483,161646,161793,161924,162077,162200,162329,162463,162595,162712,162831,
10040,0,1,15,97,390,902,1775,3001,4571,6387,8495,10779,13136,15702,18325,20917,23589,26280,29051,31720,34330,36920,39414,41916,44344,46542,48775,51002,53122,55122,57004,58892,60716,62512,64207,65782,67436,69022,70485,71900,73284,74589,75854,77090,78285,79397,80512,81551,82587,83531,84435,85326,86162,86985,87812,88606,89358,90087,90807,91508,92190,92840,93483,94109,94688,95223,95764,96267,96747,97191,97663,98103,98524,98971,99370,99734,100103,100447,100787,101144,101451,101787,102112,102410,102711,103038,103294,103570,103826,104096,104351,104598,104836,105051,105247,105441,105629,105814,106005,106183,106376,106552,106704,106848,107003,107151,107292,107436,107570,107708,107856,107972,108095,108198,108307,108410,108515,108617,108726,
1005148800,405879,587504,714348,807440,878700,935314,981208,1019299,1051318,1078568,1102239,1122767,1140658,1156600,1170731,1183441,1195097,1205282,1214730,1223272,1231017,1238044,1244692,1250706,1256270,1261509,1266380,1270802,1275052,1278965,1282664,1286081,1289264,1292157,1294963,1297676,1300178,1302541,1304839,1306934,1308986,1310846,1312636,1314325,1315901,1317406,1318867,1320293,1321577,1322829,1324009,1325131,1326182,1327183,1328129,1329044,1329941,1330743,1331550,1332309,1333068,1333796,1334484,1335090,1335769,1336366,1336942,1337476,1337986,1338521,1339029,1339496,1339941,1340384,1340793,1341192,1341574,1341924,1342297,1342655,1342984,1343305,1343599,1343908,1344195,1344454,1344717,1344968,1345225,1345454,1345684,1345901,1346091,1346297,1346482,1346673,1346861,1347034,1347198,1347364,1347514,1347649,1347800,1347940,1348073,1348206,1348348,1348465,1348594,1348719,1348829,1348952,1349063,1349193,1349288,1349388,1349502,1349577,1349682,
100670384,259021,418793,537992,629099,700757,758601,805846,845591,879298,908147,932917,954613,973788,990905,1006105,1019889,1032250,1043360,1053666,1062983,1071460,1079272,1086348,1092906,1099054,1104803,1110126,1114935,1119541,1123812,1127835,1131611,1135124,1138325,1141445,1144350,1147122,1149685,1152130,1154391,1156610,1158701,1160708,1162595,1164367,1165993,1167565,1169100,1170538,1171975,1173259,1174539,1175775,1176887,1177992,1179014,1180002,1180959,1181900,1182768,1183560,1184359,1185091,1185797,1186484,1187158,1187808,1188391,1189003,1189567,1190156,1190670,1191165,1191647,1192116,1192534,1192953,1193371,1193774,1194177,1194523,1194882,1195220,1195564,1195888,1196202,1196500,1196781,1197033,1197284,1197523,1197773,1197987,1198199,1198413,1198622,1198841,1199039,1199216,1199389,1199562,1199731,1199886,1200048,1200188,1200345,1200462,1200586,1200713,1200849,1200979,1201123,1201245,1201368,1201474,1201588,1201698,1201807,1201901,
100741446,189737,331006,442896,530487,600824,657951,705063,744779,779207,808603,834107,856340,876097,893708,909250,923359,936290,948106,958721,968193,977006,985138,992596,999324,1005913,1012122,1017633,1022708,1027552,1032197,1036428,1040320,1044029,1047478,1050826,1053823,1056705,1059468,1062090,1064483,1066787,1069010,1071116,1073082,1074989,1076735,1078388,1080012,1081579,1083022,1084364,1085744,1087008,1088178,1089280,1090389,1091424,1092462,1093433,1094299,1095150,1095975,1096744,1097493,1098187,1098873,1099574,1100217,1100835,1101459,1102099,1102677,1103204,1103733,1104223,1104692,1105119,1105545,1105950,1106374,1106825,1107218,1107578,1107913,1108244,1108522,1108817,1109091,1109417,1109677,1109908,1110172,1110402,1110660,1110899,1111094,1111290,1111513,1111711,1111915,1112093,1112286,1112453,1112631,1112805,1112953,1113107,1113251,1113409,1113546,1113676,1113807,1113941,1114063,1114186,1114290,1114410,1114504,1114591,
100820570,126146,244045,343973,426120,493121,548672,595120,634235,668511,698083,723972,746710,767062,784825,801038,815745,828904,840966,851976,862031,871176,879550,887331,894424,901078,907403,913175,918458,923347,928077,932602,936800,940633,944312,947817,951042,954079,956908,959575,962100,964551,966813,968972,971050,972975,974742,976514,978207,979810,981314,982823,984285,985624,986846,988044,989224,990314,991331,992323,993222,994123,995018,995866,996634,997437,998202,998890,999610,1000238,1000878,1001424,1002009,1002526,1003035,1003590,1004090,1004584,1005056,1005520,1005942,1006355,1006748,1007122,1007495,1007848,1008187,1008542,1008860,1009167,1009457,1009756,1010030,1010275,1010495,1010742,1010962,1011173,1011386,1011571,1011775,1011955,1012151,1012348,1012521,1012691,1012839,1013011,1013179,1013328,1013459,1013614,1013765,1013903,1014027,1014137,1014253,1014379,1014502,1014619,
10098017,72454,161635,244866,316611,378006,429908,474460,512708,545653,574629,600397,623090,643424,661602,677903,692700,706145,718392,729556,739845,749261,757938,765826,773285,780290,786656,792591,798167,803470,808335,812948,817238,821183,824966,828596,831925,835072,838165,840993,843588,846078,848549,850873,853083,855085,856983,858753,860538,862151,863783,865329,866753,868170,869532,870813,872020,873129,874213,875302,876310,877240,878161,879118,879943,880749,881495,882228,882942,883581,884254,884887,885527,886103,886637,887184,887678,888158,888627,889108,889556,890009,890460,890862,891214,891555,891913,892276,892607,892918,893229,893553,893850,894102,894339,894588,894835,895079,895303,895519,895748,895966,896153,896366,896559,896732,896898,897062,897235,897394,897548,897687,897847,897991,898138,898271,898398,898559,898679,898789,
10104271,50649,124388,198116,264167,321251,370816,413096,450281,482838,511326,536650,558941,578746,596778,613162,628014,641431,653804,664876,675186,684655,693424,701482,708986,715900,722327,728352,734009,739339,744404,749057,753413,757503,761361,765006,768461,771714,774820,777676,780274,782770,785245,787560,789736,791720,793724,795516,797290,798934,800574,802105,803567,804992,806342,807598,808822,809960,811133,812168,813255,814255,815182,816086,816985,817765,818530,819279,820022,820697,821389,822015,822665,823259,823865,824445,825007,825521,825996,826462,826924,827390,827834,828245,828636,828999,829382,829745,830092,830404,830761,831081,831386,831645,831891,832135,832364,832613,832840,833051,833286,833475,833694,833878,834072,834252,834433,834613,834774,834946,835103,835273,835430,835571,835697,835827,835955,836070,836197,836308,
10111982,33084,90862,153100,211038,262938,308813,348887,384422,415514,442937,467200,489072,508788,526442,542333,556988,570458,582660,594004,604293,614016,622672,630796,638369,645342,651711,657702,663497,668865,673784,678397,682814,687049,690947,694554,698059,701322,704391,707297,710098,712733,715222,717603,719910,722032,723979,725873,727691,729488,731130,732737,734222,735602,736989,738279,739521,740681,741765,742856,743922,744918,745850,746798,747717,748525,749320,750125,750869,751564,752245,752927,753593,754217,754801,755326,755871,756400,756929,757402,757896,758373,758836,759241,759666,760036,760427,760800,761132,761447,761742,762077,762382,762709,762989,763258,763507,763761,764022,764247,764471,764710,764900,765108,765303,765507,765689,765864,766055,766213,766368,766522,766687,766827,766956,767107,767235,767372,767493,767603,
1012767,19750,61677,111143,160857,206733,248201,285214,317982,347412,373451,397136,418003,436801,453970,469793,484091,497165,509205,519978,530316,539819,548444,556560,563988,570878,577348,583408,589076,594355,599437,604061,608378,612659,616649,620237,623776,627092,630186,633112,635863,638371,640884,643345,645659,647804,649811,651784,653589,655297,656906,658511,660024,661480,662910,664165,665460,666655,667814,668971,670048,671066,672068,672956,673914,674793,675589,676415,677229,677939,678702,679383,680047,680635,681227,681786,682335,682862,683401,683888,684320,684796,685248,685686,686092,686491,686872,687268,687636,688007,688317,688642,688952,689247,689549,689815,690065,690313,690555,690797,691016,691239,691453,691663,691875,692079,692264,692448,692628,692796,692979,693155,693321,693478,693606,693776,693901,694045,694169,694300,
1013239,10064,37795,74826,114459,152972,188780,221084,250403,277100,301155,323095,342944,361079,377583,392545,406116,418993,430588,441405,451258,460565,469086,477090,484493,491442,497898,503919,509583,514815,519680,524334,528687,532841,536821,540451,543965,547305,550417,553290,555941,558487,560975,563386,565704,567860,569912,571788,573680,575492,577163,578795,580373,581874,583271,584577,585782,587054,588205,589342,590412,591488,592480,593485,594395,595268,596075,596883,597719,598493,599189,599902,600593,601216,601821,602411,602994,603526,604050,604552,605031,605533,605973,606422,606867,607281,607655,608058,608434,608782,609130,609487,609802,610105,610370,610659,610925,611170,611420,611667,611902,612150,612367,612565,612768,612941,613131,613320,613501,613670,613845,614018,614176,614320,614486,614619,614739,614879,615024,615139,
1014113,6177,26407,55886,89176,122169,154192,183758,211205,235989,258695,279563,298418,315574,331198,345761,358958,371288,382474,392931,402801,411642,420071,428007,435390,442053,448369,454320,459906,465192,470140,474751,479081,483157,487193,490784,494366,497653,500658,503559,506250,508867,511337,513695,516021,518107,520195,522162,523999,525741,527416,529007,530511,532026,533471,534718,535907,537106,538259,539460,540538,541544,542503,543492,544384,545242,546076,546897,547719,548468,549219,549925,550620,551298,551931,552510,553109,553652,554174,554707,555201,555687,556144,556593,556997,557399,557831,558255,558647,559006,559365,559682,560006,560311,560601,560864,561155,561420,561681,561921,562153,562382,562609,562844,563025,563225,563393,563567,563757,563903,564061,564234,564379,564531,564695,564847,565006,565137,565273,565398,
101545,3473,17270,39734,66475,94678,121888,148271,172770,195605,216513,235611,253059,269162,284251,297810,310275,322027,332712,342751,352081,360795,368786,376357,383519,390036,396226,402052,407559,412571,417273,421814,426058,430168,433931,437495,440970,444231,447247,450115,452830,455432,457994,460301,462580,464724,466778,468791,470651,472393,473974,475571,477081,478567,480031,481365,482563,483738,484939,486064,487156,488168,489204,490155,491055,491928,492760,493535,494363,495118,495868,496547,497186,497813,498416,498999,499593,500171,500708,501244,501748,502203,502648,503104,503557,503987,504400,504808,505170,505544,505882,506226,506573,506871,507135,507430,507706,507973,508236,508479,508691,508902,509139,509366,509575,509746,509942,510141,510327,510502,510677,510839,510990,511149,511310,511476,511630,511766,511880,512018,
10165,1624,10299,26121,46638,69191,92049,114396,135824,156027,174541,191883,207938,222913,236663,249509,261341,272689,282758,292278,301180,309563,317341,324675,331517,337870,343711,349299,354603,359631,364184,368527,372706,376566,380324,383883,387166,390317,393313,396113,398740,401280,403738,406052,408354,410377,412396,414392,416247,417975,419595,421150,422691,424144,425485,426820,428109,429364,430516,431555,432656,433705,434692,435613,436467,437317,438180,438981,439759,440514,441279,442011,442674,443328,443902,444470,445066,445654,446194,446716,447228,447708,448160,448589,449025,449431,449827,450225,450612,450989,451338,451699,452030,452350,452634,452941,453170,453442,453698,453938,454182,454402,454619,454844,455063,455289,455507,455680,455878,456068,456237,456395,456551,456718,456892,457035,457173,457300,457429,457547,
10171,699,5382,15469,30265,47230,65169,83576,101487,118772,135397,150774,165051,178211,190699,202395,213360,223645,233133,242005,250419,258301,265468,272363,278895,285040,290550,295917,301035,305815,310280,314454,318462,322231,325745,329175,332383,335398,338153,340815,343357,345855,348278,350494,352705,354756,356685,358571,360402,362123,363687,365201,366705,368124,369470,370793,371969,373210,374334,375478,376515,377521,378489,379420,380310,381155,381981,382786,383610,384365,385066,385754,386408,387051,387608,388155,388748,389260,389782,390303,390798,391283,391692,392100,392521,392894,393264,393657,394025,394379,394724,395065,395379,395695,395995,396295,396538,396808,397067,397323,397554,397787,398005,398210,398417,398601,398789,398967,399158,399337,399496,399641,399803,399966,400110,400274,400425,400552,400699,400828,
10180,244,2282,8065,17197,28955,42110,56015,70057,83869,97474,110188,122307,133753,144482,154800,164534,173590,181913,189816,197393,204534,211342,217595,223503,229042,234241,239199,243846,248281,252417,256286,260057,263578,266916,270188,273229,276121,278809,281344,283824,286329,288650,290734,292835,294726,296650,298498,300194,301893,303398,304851,306277,307685,308950,310133,311401,312628,313771,314825,315836,316811,317727,318633,319533,320387,321148,321938,322712,323431,324144,324746,325387,325983,326593,327154,327668,328181,328701,329206,329684,330119,330514,330952,331380,331781,332155,332521,332919,333276,333627,333953,334293,334599,334920,335208,335487,335787,336034,336282,336522,336732,336932,337149,337378,337580,337757,337919,338113,338277,338459,338599,338756,338922,339063,339220,339363,339489,339613,339735,
10190,62,966,4027,9704,17264,26506,36812,47586,58519,69224,79811,90042,99658,108894,117637,126073,133920,141479,148513,155195,161530,167504,173156,178490,183611,188487,193079,197438,201487,205476,209068,212602,215900,218978,221935,224867,227672,230223,232624,234891,237111,239225,241384,243324,245221,247064,248749,250360,251924,253454,254853,256244,257562,258773,259952,261150,262254,263332,264373,265358,266296,267182,268032,268885,269680,270430,271175,271893,272518,273210,273836,274480,275037,275612,276127,276643,277142,277623,278073,278482,278951,279350,279736,280152,280555,280907,281293,281592,281966,282325,282660,282964,283266,283551,283790,284048,284307,284532,284803,285017,285261,285491,285695,285883,286088,286274,286444,286631,286817,286983,287136,287300,287458,287607,287750,287888,288020,288154,288287,
10200,12,341,1643,4461,8875,14545,21311,28684,36527,44353,52209,60175,67589,74989,82141,88911,95416,101508,107430,113076,118458,123630,128475,133221,137678,141990,146093,150013,153635,157147,160462,163600,166625,169425,172124,174811,177334,179668,181849,183943,186052,187998,189885,191701,193415,195031,196658,198157,199566,200961,202284,203547,204705,205866,206970,208054,209108,210082,211003,211977,212872,213772,214584,215399,216139,216892,217605,218282,218913,219531,220162,220734,221335,221898,222420,222919,223407,223856,224322,224771,225234,225620,226038,226429,226802,227167,227506,227860,228218,228547,228830,229090,229358,229614,229890,230150,230386,230608,230831,231063,231252,231441,231657,231882,232050,232218,232410,232581,232752,232928,233090,233223,233361,233514,233649,233785,233929,234068,234182,
10210,1,63,446,1467,3329,6138,9781,14047,18807,23910,29191,34634,39988,45390,50613,55736,60658,65519,70301,74862,79077,83200,87183,90952,94617,98145,101430,104591,107543,110523,113334,116013,118599,121133,123547,125817,127912,130018,131989,133805,135581,137398,139035,140583,142099,143474,144863,146190,147476,148730,149892,151001,152163,153182,154206,155217,156141,157014,157906,158759,159499,160236,160998,161715,162406,163084,163766,164358,164977,165562,166087,166615,167132,167632,168121,168555,169015,169451,169853,170269,170644,171015,171354,171710,172074,172411,172722,172989,173303,173619,173909,174141,174418,174671,174923,175142,175387,175610,175822,176025,176220,176422,176611,176826,176989,177143,177321,177507,177656,177809,177954,178090,178242,178373,178503,178615,178728,178853,178957,
10220,0,2,47,243,711,1611,2883,4646,6724,9201,11860,14707,17681,20748,23810,26950,30004,33159,36221,39202,42150,45016,47820,50536,53197,55687,58036,60368,62590,64771,66846,68925,70880,72758,74506,76230,77960,79581,81163,82658,84056,85429,86653,87908,89147,90292,91503,92601,93654,94677,95705,96643,97516,98414,99262,100136,100909,101649,102436,103132,103756,104460,105047,105655,106236,106780,107346,107868,108364,108881,109362,109807,110289,110717,111081,111485,111870,112229,112591,112925,113315,113616,113929,114244,114564,114884,115170,115492,115730,116000,116251,116506,116747,116998,117209,117421,117622,117827,118014,118190,118356,118525,118684,118825,118971,119098,119229,119366,119493,119637,119780,119893,120026,120151,120263,120357,120466,120583,120678,
1023171750,432083,609018,730728,820141,888212,942099,985780,1022068,1052243,1078090,1100550,1119919,1137090,1152308,1165735,1177828,1188788,1198656,1207754,1215862,1223105,1230046,1236345,1242091,1247411,1252366,1256993,1261248,1265368,1269191,1272702,1275923,1279021,1281861,1284615,1287176,1289617,1291828,1294055,1296085,1297946,1299760,1301545,1303230,1304750,1306195,1307585,1308908,1310170,1311388,1312522,1313622,1314711,1315698,1316629,1317564,1318440,1319242,1320011,1320741,1321435,1322116,1322796,1323439,1324081,1324623,1325174,1325707,1326194,1326708,1327209,1327663,1328123,1328526,1328942,1329322,1329710,1330069,1330424,1330775,1331106,1331413,1331729,1331996,1332266,1332540,1332801,1333030,1333251,1333469,1333691,1333905,1334080,1334277,1334463,1334644,1334833,1335007,1335153,1335306,1335475,1335616,1335756,1335906,1336034,1336154,1336278,1336388,1336521,1336652,1336750,1336861,1336966,1337074,1337171,1337259,1337369,1337449,1337525,
102488169,287771,447123,563541,652104,720544,776004,821355,858967,891219,918477,942334,962942,981258,997223,1011701,1024906,1036625,1047436,1057227,1066230,1074290,1081734,1088529,1094787,1100795,1106339,1111335,1116042,1120368,1124433,1128279,1131919,1135233,1138409,1141362,1144096,1146722,1149189,1151573,1153834,1155900,1157920,1159854,1161646,1163316,1164899,1166399,1167803,1169194,1170474,1171739,1173039,1174239,1175332,1176325,1177402,1178340,1179291,1180163,1180999,1181764,1182532,1183245,1183921,1184595,1185191,1185803,1186372,1186929,1187526,1188041,1188532,1189011,1189460,1189900,1190336,1190711,1191146,1191491,1191872,1192219,1192580,1192911,1193228,1193515,1193817,1194117,1194388,1194647,1194897,1195141,1195391,1195584,1195779,1195985,1196173,1196369,1196557,1196715,1196890,1197073,1197226,1197391,1197547,1197685,1197846,1197984,1198110,1198241,1198385,1198511,1198623,1198736,1198853,1198968,1199064,1199181,1199284,1199368,
102554808,216202,360115,470631,556136,623887,678871,724322,762746,795245,823497,848124,869390,888281,905007,919985,933582,945904,956942,967080,976343,984796,992624,999686,1006190,1012410,1018162,1023484,1028260,1032729,1037110,1041188,1045026,1048521,1051890,1055070,1057988,1060689,1063244,1065715,1068081,1070328,1072412,1074422,1076276,1078046,1079707,1081272,1082817,1084307,1085691,1087002,1088321,1089594,1090727,1091824,1092856,1093868,1094878,1095762,1096597,1097421,1098214,1098957,1099661,1100359,1101032,1101670,1102265,1102848,1103394,1103941,1104468,1104922,1105410,1105865,1106314,1106755,1107180,1107574,1107982,1108341,1108742,1109115,1109422,1109734,1110036,1110329,1110603,1110838,1111090,1111338,1111575,1111811,1112043,1112275,1112493,1112707,1112917,1113104,1113289,1113494,1113656,1113840,1114002,1114126,1114282,1114427,1114570,1114706,1114850,1114964,1115078,1115212,1115338,1115440,1115539,1115650,1115753,1115845,
102629310,150294,273347,374315,455630,521189,574494,619331,657319,690097,718304,742966,764758,783973,801061,816385,830333,842757,854456,864743,874253,883168,891190,898659,905536,911899,917892,923546,928814,933577,937972,942154,946144,949842,953398,956694,959847,962767,965461,968030,970430,972802,974976,977048,979064,980873,982650,984345,985957,987517,988990,990373,991674,992993,994288,995438,996506,997582,998566,999525,1000436,1001327,1002180,1003001,1003781,1004539,1005186,1005885,1006507,1007111,1007733,1008340,1008852,1009405,1009909,1010387,1010855,1011310,1011787,1012215,1012638,1013069,1013471,1013842,1014184,1014527,1014867,1015185,1015486,1015737,1016044,1016306,1016563,1016792,1016991,1017240,1017446,1017673,1017904,1018081,1018286,1018469,1018641,1018844,1019020,1019162,1019304,1019459,1019616,1019751,1019899,1020031,1020175,1020315,1020465,1020576,1020700,1020824,1020932,1021040,
102712730,91847,189197,275587,349061,409918,461282,504530,541581,573406,601319,626051,648137,667478,684854,700515,714600,727443,739140,749786,759609,768559,776745,784323,791378,797998,804068,809749,815028,819965,824708,829092,833399,837229,840807,844223,847475,850469,853298,856024,858569,860958,863251,865373,867496,869410,871308,873083,874764,876333,877871,879369,880686,882013,883348,884539,885713,886833,887887,888877,889842,890806,891667,892531,893328,894147,894858,895577,896254,896898,897530,898159,898730,899263,899795,900292,900774,901251,901666,902150,902609,903059,903479,903903,904276,904632,904989,905353,905677,905976,906266,906574,906868,907139,907393,907647,907869,908086,908311,908494,908701,908925,909099,909280,909449,909620,909781,909915,910074,910199,910354,910510,910647,910768,910897,911043,911156,911288,911391,911503,
10287273,66341,148600,225945,293259,351053,400289,441862,478417,510012,537528,561875,583501,602653,619923,635727,650057,663022,674701,685668,695389,704406,712845,720571,727701,734454,740680,746501,751953,756935,761674,766166,770393,774317,777952,781368,784657,787754,790750,793443,795971,798473,800806,803047,805167,807192,809053,810815,812464,814047,815646,817129,818546,819905,821176,822421,823666,824755,825894,826923,827892,828781,829717,830595,831469,832242,833042,833788,834510,835169,835807,836422,837041,837579,838145,838675,839188,839673,840153,840643,841113,841520,841918,842321,842727,843067,843433,843786,844126,844445,844750,845068,845363,845614,845831,846078,846312,846549,846776,846969,847191,847408,847574,847776,847961,848118,848264,848416,848599,848773,848917,849071,849223,849354,849483,849641,849752,849888,850017,850143,
10293605,45097,112013,179367,240285,293151,339689,379744,414456,445152,471829,495522,517041,536014,553245,568627,582866,595794,607534,618483,628517,637680,646131,653939,661193,667936,674169,680052,685536,690804,695572,700112,704302,708238,712002,715460,718792,721963,724847,727637,730305,732840,735296,737598,739835,741835,743803,745656,747373,748983,750589,752038,753486,754900,756194,757438,758649,759779,760866,761943,762927,763864,764720,765603,766433,767212,768010,768817,769545,770252,770967,771609,772242,772827,773428,773969,774485,774964,775436,775900,776361,776810,777267,777680,778063,778443,778813,779139,779467,779788,780095,780373,780653,780968,781234,781462,781708,781957,782207,782444,782680,782887,783089,783271,783455,783634,783813,783966,784134,784289,784438,784589,784740,784865,784990,785126,785258,785371,785500,785613,
10301633,28292,78632,134615,187454,235296,277584,314835,347542,376557,402183,425097,445730,464226,481022,496327,510236,523077,534742,545433,555342,564528,573047,580912,588340,595007,601226,607210,612672,617730,622650,627077,631244,635331,639033,642668,646013,649245,652201,655051,657696,660205,662611,664939,667174,669203,671181,673007,674813,676500,678041,679514,680942,682410,683744,685042,686335,687489,688598,689637,690703,691687,692615,693569,694445,695266,696062,696820,697514,698202,698868,699519,700148,700731,701330,701898,702452,702936,703432,703875,704323,704756,705226,705642,706041,706434,706804,707164,707508,707868,708167,708497,708795,709078,709333,709603,709836,710086,710322,710538,710768,710977,711175,711351,711532,711730,711884,712057,712211,712383,712566,712742,712912,713058,713188,713338,713458,713604,713735,713850,
1031565,15328,50543,93377,137054,178103,215449,248969,279134,306152,330424,352134,371844,389753,405952,420604,434246,446644,457918,468514,478043,487018,495372,503113,510209,516801,523135,528962,534412,539508,544270,548694,552896,556684,560434,563991,567310,570538,573439,576368,579026,581495,583882,586185,588403,590494,592512,594423,596246,597870,599553,601168,602625,604060,605399,606681,607916,609130,610248,611373,612389,613374,614360,615262,616186,617023,617821,618615,619398,620130,620820,621526,622122,622742,623356,623913,624476,625012,625545,626029,626453,626938,627357,627800,628199,628569,628966,629348,629708,630058,630402,630699,631009,631313,631601,631881,632149,632396,632630,632862,633090,633334,633540,633708,633894,634079,634266,634430,634600,634767,634941,635090,635230,635395,635540,635693,635809,635933,636044,636163,
1032261,9782,36310,71444,108889,145360,179109,209674,237826,263383,286271,307234,326080,343163,359026,373443,386383,398494,409583,419886,429511,438316,446582,454303,461326,468017,474171,479935,485298,490328,495095,499561,503754,507773,511559,515053,518454,521650,524629,527465,530164,532653,535120,537433,539646,541716,543733,545666,547437,549095,550694,552262,553757,555214,556613,557896,559093,560317,561404,562470,563484,564460,565400,566359,567257,568123,568972,569767,570547,571261,571970,572635,573297,573948,574561,575143,575664,576210,576681,577186,577669,578153,578564,579020,579455,579869,580277,580637,581009,581374,581710,582018,582292,582607,582869,583115,583386,583621,583890,584150,584368,584573,584802,584978,585172,585348,585521,585711,585874,586013,586181,586357,586512,586682,586848,586990,587121,587247,587372,587497,
103392,5926,24830,52510,83797,115023,144992,172618,198286,221732,243029,262277,280142,296630,311503,325196,337722,349325,360086,370089,379344,387814,395806,403274,410176,416462,422530,428198,433569,438597,443232,447607,451723,455623,459369,462761,466171,469299,472238,475024,477704,480311,482703,484987,487240,489388,491408,493322,495140,496862,498458,500003,501449,502901,504286,505601,506731,507871,509069,510188,511280,512309,513196,514116,514954,515845,516673,517471,518208,518932,519617,520306,520958,521617,522200,522755,523309,523877,524344,524876,525364,525797,526240,526660,527113,527512,527917,528318,528683,529040,529370,529686,530029,530319,530596,530885,531132,531381,531621,531881,532116,532333,532534,532766,532954,533117,533301,533469,533647,533800,533959,534132,534293,534450,534602,534725,534876,534996,535126,535234,
103432,2931,15381,35688,60120,86057,111215,135442,157985,179331,198954,217058,233506,248858,263105,276017,287701,298855,309100,318563,327423,335572,343188,350225,356915,363222,369125,374613,379873,384726,389269,393646,397672,401529,405173,408659,411826,414954,417954,420709,423333,425864,428211,430480,432689,434701,436702,438588,440378,442053,443715,445247,446742,448116,449450,450710,451950,453096,454257,455317,456412,457433,458389,459321,460218,461023,461861,462653,463385,464091,464838,465557,466188,466803,467360,467925,468446,469000,469547,470026,470452,470919,471373,471808,472219,472622,473045,473412,473764,474119,474456,474809,475119,475415,475698,475990,476266,476521,476795,477009,477253,477448,477675,477894,478097,478297,478501,478656,478829,479002,479147,479309,479472,479615,479788,479939,480088,480202,480322,480458,
10352,1304,8499,22104,40080,60189,80825,101080,120511,138851,156065,172214,187117,200707,213687,225673,236725,246797,256313,265316,273641,281457,288658,295470,301907,307847,313542,318811,323947,328665,333169,337333,341388,345129,348710,352184,355371,358360,361126,363809,366409,368810,371204,373444,375607,377668,379592,381440,383213,384840,386398,387881,389348,390769,392136,393404,394605,395742,396794,397885,398947,399898,400868,401775,402659,403474,404259,405038,405774,406509,407215,407906,408541,409169,409779,410351,410895,411454,411970,412432,412887,413350,413767,414172,414586,414977,415351,415764,416117,416472,416786,417111,417410,417712,417991,418280,418539,418831,419085,419334,419573,419786,420006,420206,420408,420604,420810,420978,421151,421337,421510,421682,421809,421961,422130,422300,422446,422580,422699,422843,
10361,497,4008,12069,23968,38371,53766,69725,85623,100625,115193,128932,141953,154003,165295,175936,186025,195252,203912,212042,219692,226995,233807,240094,246080,251457,256816,261795,266649,270992,275112,278949,282575,286228,289561,292792,295786,298711,301367,304016,306426,308645,310918,313038,315114,317138,319020,320826,322484,324096,325662,327124,328597,329960,331271,332460,333702,334863,335977,337047,338048,339082,340035,340943,341814,342631,343429,344211,344944,345638,346316,346943,347552,348168,348731,349314,349812,350345,350870,351385,351830,352290,352730,353173,353571,353942,354276,354660,355050,355410,355720,356038,356374,356648,356926,357204,357469,357724,357962,358221,358454,358664,358894,359084,359282,359478,359635,359813,360002,360186,360369,360533,360683,360852,360993,361147,361296,361426,361552,361681,
10370,164,1774,6367,13911,23833,35027,47201,59449,71706,83609,94943,105698,116210,126008,135261,144081,152214,159862,167216,174106,180545,186749,192608,198118,203081,207905,212697,217099,221193,225134,228775,232247,235606,238783,241693,244619,247296,249897,252278,254580,256877,259035,261019,262941,264830,266555,268262,269924,271551,273017,274376,275730,277018,278232,279422,280586,281705,282813,283861,284825,285787,286683,287534,288366,289200,289987,290693,291434,292079,292744,293398,293982,294567,295128,295644,296150,296660,297184,297663,298131,298542,298937,299316,299702,300101,300463,300830,301179,301525,301874,302206,302508,302814,303052,303302,303565,303800,304037,304293,304526,304759,304987,305202,305387,305570,305757,305938,306125,306300,306470,306615,306755,306912,307072,307201,307329,307447,307590,307711,
10381,40,618,2683,6545,12285,19544,27716,36470,45255,54378,63125,71785,80078,88050,95667,102981,109935,116623,122863,128809,134419,139812,144830,149553,154097,158515,162573,166474,170015,173642,176879,180117,183221,186033,188855,191515,194023,196450,198708,200811,202892,204899,206827,208712,210484,212128,213728,215231,216709,218130,219457,220704,221968,223123,224274,225351,226391,227351,228318,229242,230068,230913,231722,232473,233246,233935,234626,235361,235978,236651,237260,237822,238437,238949,239454,239940,240426,240895,241314,241755,242188,242563,242975,243338,243733,244091,244423,244777,245102,245398,245679,245979,246273,246551,246807,247063,247307,247575,247792,248004,248206,248405,248611,248809,249013,249188,249340,249515,249680,249846,250014,250156,250311,250452,250575,250719,250869,250976,251096,
10390,3,133,801,2379,5079,8786,13354,18590,24289,30176,36190,42407,48311,54233,60002,65638,71199,76268,81268,86095,90749,95099,99367,103299,107152,110904,114227,117542,120645,123671,126530,129289,131960,134493,136923,139276,141534,143655,145660,147590,149392,151227,152942,154515,156101,157553,159025,160314,161637,162930,164144,165243,166303,167342,168338,169317,170287,171228,172112,172933,173796,174605,175335,176041,176755,177443,178088,178727,179362,179928,180483,181031,181574,182094,182569,183014,183459,183883,184275,184639,185038,185419,185780,186157,186493,186821,187129,187440,187790,188050,188357,188624,188879,189112,189356,189574,189786,190026,190235,190456,190653,190849,191035,191220,191396,191555,191703,191863,192018,192165,192313,192456,192589,192714,192832,192964,193086,193188,193293,
10400,0,11,110,447,1207,2443,4210,6426,9137,12201,15442,18890,22337,25790,29338,32839,36246,39687,43090,46447,49582,52676,55700,58523,61304,64000,66601,69112,71535,73849,76046,78227,80273,82240,84145,85891,87702,89319,90970,92604,94094,95599,96950,98323,99585,100765,101954,103055,104133,105183,106196,107141,108039,108882,109772,110635,111391,112146,112928,113645,114335,114956,115611,116295,116883,117487,118052,118590,119082,119624,120090,120540,120983,121418,121846,122281,122700,123077,123445,123791,124132,124453,124774,125067,125354,125634,125954,126233,126504,126737,126991,127263,127508,127725,127925,128151,128360,128557,128763,128951,129122,129278,129474,129635,129763,129896,130019,130162,130298,130424,130568,130697,130817,130930,131048,131154,131273,131375,131490,
104140281,250499,477770,666146,818750,943860,1048691,1137715,1213361,1279383,1336285,1387923,1433688,1474873,1512595,1547035,1578878,1607702,1634371,1658992,1682039,1703507,1723708,1742885,1760635,1777402,1793003,1807767,1821826,1835344,1848157,1860319,1872085,1883203,1893962,1904244,1914066,1923474,1932520,1941300,1949722,1957676,1965504,1973060,1980454,1987583,1994369,2000950,2007416,2013556,2019640,2025348,2031097,2036718,2042045,2047241,2052295,2057316,2062021,2066658,2071234,2075763,2080020,2084344,2088511,2092480,2096386,2100238,2103787,2107305,2110841,2114381,2117834,2121094,2124370,2127528,2130570,2133644,2136642,2139636,2142513,2145319,2148074,2150833,2153455,2156062,2158706,2161252,2163713,2166122,2168541,2170840,2173154,2175415,2177613,2179869,2182050,2184176,2186282,2188365,2190412,2192444,2194453,2196393,2198280,2200177,2201913,2203754,2205520,2207268,2208961,2210704,2212384,2214008,2215631,2217240,2218937,2220541,2222117,2223716,
10425873,91637,239374,390174,527068,647230,752151,844956,926512,998617,1062673,1120701,1172739,1220172,1263724,1303678,1340594,1374838,1406404,1436019,1463878,1489812,1514148,1537422,1559057,1579585,1599075,1617465,1634927,1651692,1667712,1682971,1697395,1711291,1724644,1737393,1749708,1761541,1772802,1783522,1793994,1804074,1813791,1823280,1832335,1841324,1849966,1858223,1866319,1874053,1881889,1889090,1896258,1903338,1910057,1916898,1923167,1929410,1935349,1941267,1946942,1952592,1958094,1963560,1968760,1973907,1978775,1983528,1988253,1992808,1997445,2001875,2006188,2010372,2014608,2018706,2022617,2026418,2030330,2034108,2037847,2041479,2045033,2048530,2051984,2055427,2058666,2061883,2065130,2068249,2071350,2074442,2077432,2080300,2083160,2086004,2088757,2091396,2094106,2096726,2099311,2101921,2104470,2107022,2109395,2111838,2114182,2116417,2118686,2121006,2123259,2125469,2127611,2129719,2131877,2133977,2136023,2138151,2140202,2142154,
10431114,38988,134032,249743,366000,474806,573773,663621,744326,817045,883160,943422,998119,1048413,1094522,1137583,1177453,1214598,1249385,1281682,1312358,1340954,1368084,1393505,1417441,1440071,1461905,1482508,1502020,1520760,1538526,1555681,1572074,1587759,1602917,1617331,1631054,1644314,1657342,1669470,1681542,1692771,1703863,1714763,1725027,1735107,1744832,1754186,1763325,1772263,1780967,1789338,1797639,1805690,1813361,1820869,1828219,1835325,1842296,1849044,1855549,1862018,1868416,1874655,1880688,1886553,1892299,1897769,1903214,1908613,1913843,1918861,1923977,1928726,1933561,1938255,1942846,1947450,1951979,1956259,1960554,1964846,1968900,1972931,1976912,1980768,1984644,1988363,1992123,1995709,1999332,2002881,2006331,2009717,2012868,2016097,2019415,2022490,2025565,2028662,2031575,2034508,2037466,2040377,2043132,2045857,2048594,2051288,2053860,2056497,2059016,2061617,2064153,2066718,2069230,2071679,2074010,2076425,2078852,2081184,
104487,10521,55396,127333,211141,297503,381573,461722,536989,606379,670929,730707,786569,838077,886106,930972,972704,1012077,1049033,1084018,1116935,1148230,1177481,1205459,1231977,1257255,1281391,1304417,1326057,1347057,1366987,1386083,1404288,1422067,1439140,1455583,1471511,1486838,1501509,1515671,1529386,1542774,1555304,1567810,1579695,1591490,1602842,1613751,1624487,1634651,1644558,1654224,1663700,1672892,1681945,1690639,1699185,1707591,1715601,1723603,1731204,1738651,1745946,1753118,1760174,1767044,1773785,1780360,1786823,1793057,1799201,1805251,1811080,1816771,1822374,1827909,1833290,1838566,1843826,1848893,1853888,1858882,1863793,1868475,1873082,1877665,1882211,1886711,1891145,1895329,1899508,1903702,1907696,1911676,1915601,1919435,1923213,1926967,1930639,1934332,1937793,1941223,1944779,1948150,1951551,1954828,1958096,1961316,1964424,1967446,1970513,1973671,1976665,1979715,1982649,1985528,1988401,1991161,1993932,1996709,
10451,1172,12619,41710,85343,138660,197047,256672,316415,374694,430565,484382,535575,584887,631389,675098,716970,756484,794167,830210,864369,897115,928414,958170,986932,1014181,1040431,1065437,1089275,1112439,1134779,1156140,1176556,1196683,1215780,1234301,1252203,1269366,1286346,1302236,1317879,1333065,1347640,1361877,1375778,1389210,1402183,1415062,1427525,1439385,1450972,1462395,1473518,1484502,1495097,1505371,1515498,1525383,1534957,1544286,1553259,1562169,1570735,1579105,1587538,1595676,1603612,1611445,1619155,1626676,1634121,1641220,1648255,1655136,1661854,1668408,1675047,1681427,1687733,1693809,1699924,1705780,1711573,1717200,1722808,1728439,1733947,1739254,1744552,1749785,1754867,1759910,1764679,1769465,1774296,1778993,1783590,1788125,1792606,1797005,1801452,1805643,1809792,1813900,1817916,1821785,1825845,1829754,1833575,1837472,1841126,1844777,1848455,1852004,1855582,1859078,1862542,1865877,1869325,1872792,
10460,212,3922,17024,41868,75969,116939,162405,209803,257771,306166,353176,398990,443839,486916,528451,567996,606133,642747,677774,711816,744253,775699,805752,834416,862463,889136,915225,940201,964245,987547,1009801,1031366,1052173,1072086,1091620,1110556,1128722,1146406,1163651,1180225,1196503,1212385,1227805,1242613,1257140,1271387,1285104,1298181,1310974,1323634,1335901,1347837,1359504,1370829,1381738,1392672,1403389,1413894,1424044,1433961,1443616,1452874,1462235,1471418,1480415,1489065,1497596,1505883,1514236,1522479,1530298,1538024,1545618,1553072,1560404,1567407,1574446,1581483,1588150,1594791,1601118,1607523,1613845,1619989,1626212,1632198,1638058,1644024,1649690,1655285,1660825,1666395,1671779,1677029,1682255,1687421,1692519,1697546,1702413,1707232,1712103,1716593,1721237,1726029,1730539,1734963,1739429,1743880,1748099,1752228,1756384,1760432,1764374,1768285,1772194,1776058,1779848,1783581,1787387,
10470,13,800,5095,15783,33040,57031,86018,118657,153685,190715,227967,265484,303255,340179,376615,412316,447200,481076,514134,545785,576702,606957,635849,663973,691463,717809,743337,768597,792626,815914,838497,860548,882083,902890,922934,942485,961376,979516,997616,1015039,1032104,1048689,1064609,1080225,1095623,1110746,1125153,1139318,1153130,1166476,1179775,1192560,1205170,1217476,1229522,1241282,1252857,1264155,1275265,1285969,1296565,1306751,1316907,1326860,1336721,1346422,1355765,1364899,1373970,1382838,1391713,1400191,1408489,1416662,1424722,1432666,1440431,1448012,1455484,1462925,1470316,1477403,1484422,1491124,1497884,1504451,1510936,1517593,1523845,1530143,1536303,1542461,1548369,1554307,1560140,1565837,1571531,1577006,1582684,1588177,1593497,1598795,1603827,1608929,1614027,1618900,1623894,1628818,1633564,1638182,1642983,1647581,1652114,1656467,1660883,1665301,1669566,1673793,1677981,
10480,1,78,795,3535,9561,19633,33719,51283,72043,95031,120077,146309,173725,201709,229897,258383,286845,315228,343269,370761,398044,424506,450772,476162,501330,525863,550155,573596,596447,618780,640887,662255,682734,703396,723290,742712,761619,780256,798081,816027,833439,850405,866631,882781,898549,913945,929272,944203,958749,972876,986919,1000249,1013662,1026936,1039670,1052105,1064470,1076613,1088612,1100137,1111456,1122517,1133635,1144168,1154653,1165127,1175400,1185317,1195159,1204810,1214454,1223564,1232805,1241737,1250669,1259271,1267924,1276245,1284324,1292402,1300406,1308444,1316194,1323591,1330849,1338381,1345779,1352969,1360185,1367010,1373949,1380788,1387465,1394136,1400589,1406982,1413374,1419691,1425877,1431963,1437984,1443980,1449904,1455609,1461300,1466911,1472476,1477910,1483431,1488744,1493984,1499181,1504381,1509404,1514409,1519374,1524289,1529224,1534007,
10490,0,1,43,322,1299,3557,7569,13441,21338,31509,43416,56975,71968,88529,105929,124202,142936,162619,182391,202304,222816,243227,263758,284018,304533,324736,345051,365031,384861,404481,423765,442783,461451,480007,498118,515980,533860,551350,568564,585435,601752,618086,634159,649819,665129,680319,695381,709968,724352,738612,752488,766054,779508,792749,805897,818781,831541,843782,856031,867971,879743,891305,902672,913977,925030,935928,946664,957304,967829,977967,988229,998078,1007825,1017432,1027044,1036408,1045601,1054678,1063603,1072449,1081218,1089741,1098246,1106595,1115010,1123005,1131037,1138946,1146883,1154490,1161872,1169277,1176706,1183857,1191054,1198144,1205108,1211951,1218814,1225585,1232227,1238658,1245062,1251340,1257795,1264194,1270521,1276776,1282786,1288698,1294726,1300695,1306457,1312146,1317823,1323400,1328912,1334419,1339759,
10500,0,0,2,37,188,704,1876,3970,7131,11519,17231,24210,32323,41848,52283,63940,76273,89280,103123,117293,132218,147268,162829,178443,194603,210755,226943,243294,259397,275763,291912,307914,324093,340161,356304,372253,388008,403646,419246,434421,449662,464497,479368,493840,508333,522628,536767,550617,564356,577866,591190,604154,617113,629915,642648,655301,667810,679997,691820,703738,715477,726991,738309,749524,760474,771198,781888,792701,803262,813452,823502,833452,843446,853237,862888,872403,881831,891128,900164,909144,918092,926942,935761,944358,952908,961218,969402,977653,985754,993746,1001694,1009462,1017186,1024845,1032364,1039833,1047078,1054311,1061632,1068717,1075739,1082623,1089414,1096214,1102859,1109491,1116026,1122352,1128796,1135241,1141522,1147806,1153963,1160078,1166130,1172037,1177853,1183750,1189538,
10510,0,0,0,2,11,64,234,677,1451,2645,4489,7046,10353,14326,19113,24512,30986,37771,45429,53687,62622,72021,81828,92181,102812,113835,125094,136803,148637,160519,172734,184954,197324,209922,222379,234850,247353,259788,272491,285031,297549,310031,322543,334977,347457,359872,372225,384341,396503,408235,420178,432178,443857,455424,467025,478380,489611,500911,511958,522861,533656,544562,555329,565966,576675,587127,597274,607534,617601,627617,637557,647198,656896,666383,675802,685170,694370,703381,712362,721257,730193,738951,747676,756222,764844,773384,781656,789852,797950,806045,814074,822115,829979,837699,845378,852831,860213,867635,875092,882275,889476,896641,903778,910605,917573,924492,931249,937978,944597,951202,957730,964111,970564,976938,983126,989348,995577,1001604,1007677,
10520,0,0,0,0,1,3,13,41,121,293,590,1097,1801,2826,4155,5879,7849,10346,13256,16488,20244,24351,28960,33883,39333,44994,51064,57337,63933,70904,78199,85604,93278,101195,109294,117422,126079,134743,143380,152138,161036,169914,178840,187910,197019,206172,215336,224673,233978,243294,252722,262070,271518,280812,290238,299605,308969,318452,327736,336948,345999,355221,364429,373520,382500,391505,400395,409205,418086,426897,435635,444440,453178,461948,470627,479061,487393,495737,503921,512156,520469,528610,536689,544638,552397,560414,568121,575848,583464,591091,598630,606079,613590,620917,628271,635581,642855,650119,657135,664155,671204,678048,684922,691899,698661,705324,711989,718653,725165,731711,738158,744512,750926,757191,763515,769745,775905,782015,788130,
10530,0,0,0,0,0,0,0,1,2,8,24,48,117,212,372,572,889,1309,1839,2539,3366,4339,5484,6839,8395,10115,12051,14202,16596,19200,21980,25122,28316,31737,35409,39224,43022,46973,51311,55833,60361,65154,70127,75060,80152,85467,90872,96308,101860,107626,113329,119200,125107,130998,137007,143180,149457,155626,161846,168144,174572,180891,187297,193682,200110,206524,213006,219448,226012,232556,239163,245711,252257,258678,265207,271781,278423,285043,291720,298322,304809,311380,317905,324423,330876,337425,343981,350406,356829,363204,369661,375914,382264,388415,394718,400974,407282,413498,419613,425875,431987,438219,444387,450431,456403,462310,468359,474353,480207,486031,491864,497721,503570,509403,515117,520862,526575,532291,537754,
10540,0,0,0,0,0,0,0,0,0,0,0,1,2,5,8,10,22,34,57,90,138,209,305,416,569,786,1016,1271,1629,2046,2515,3060,3660,4358,5089,5901,6842,7881,8984,10169,11470,12823,14276,15766,17312,18909,20752,22596,24537,26506,28669,30856,33081,35469,37799,40317,42924,45601,48355,51213,54046,56942,59823,62974,66134,69419,72659,76073,79337,82699,86080,89627,93255,96758,100399,104004,107705,111429,115210,119025,122738,126555,130461,134403,138329,142213,146265,150339,154338,158405,162504,166459,170457,174672,178847,183066,187304,191555,195842,199971,204227,208361,212424,216735,220992,225161,229345,233585,237843,242139,246429,250596,254847,259148,263363,267649,271845,276193,280383,
10550,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,5,6,6,9,17,30,52,65,85,116,148,194,254,315,429,513,619,744,909,1074,1292,1509,1756,2014,2325,2633,2984,3371,3790,4216,4710,5234,5746,6371,6967,7658,8351,9115,9848,10677,11527,12372,13254,14222,15177,16144,17229,18318,19523,20666,21890,23105,24336,25605,27025,28419,29804,31289,32800,34336,35885,37530,39147,40831,42510,44192,45972,47774,49547,51404,53292,55153,57057,59032,60965,62909,64877,66938,69052,71081,73127,75303,77460,79635,81991,84177,86411,88716,91035,93261,95649,97971,100321,102750,105149,107565,109962,
10560,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,5,7,11,13,25,33,46,54,68,76,91,113,140,175,192,216,243,278,317,359,412,483,563,642,718,798,893,983,1093,1197,1340,1464,1597,1727,1896,2049,2248,2437,2635,2849,3065,3301,3526,3777,4060,4334,4635,4920,5233,5540,5887,6254,6604,6935,7324,7733,8177,8578,9023,9508,9983,10496,10966,11504,12023,12550,13114,13695,14248,14799,15412,16071,16705,17349,18004,18657,19344,20061,20789,21517,
10570,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,2,3,3,4,4,6,7,9,11,14,16,17,20,25,34,39,43,52,57,63,68,76,83,89,100,119,132,147,164,182,202,219,240,257,281,306,326,355,383,414,440,480,520,547,586,628,682,735,783,826,877,946,999,1054,1123,1194,1259,1337,
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10788479,106880,261422,413777,548885,665743,767582,856238,934402,1002985,1063924,1118779,1167953,1212814,1253403,1290896,1325851,1357789,1387276,1415338,1441218,1465385,1487985,1509560,1529677,1548863,1566921,1583855,1599958,1615555,1630197,1644223,1657612,1670429,1682608,1694631,1706129,1717207,1727806,1737670,1747541,1756878,1766183,1774864,1783438,1791882,1799835,1807360,1815000,1822185,1829059,1835892,1842476,1849113,1855293,1861465,1867399,1873173,1878707,1884085,1889349,1894638,1899751,1904623,1909563,1914238,1918893,1923343,1927722,1932090,1936306,1940391,1944354,1948362,1952178,1955946,1959538,1963268,1966821,1970268,1973786,1977240,1980499,1983766,1986968,1990044,1993112,1996083,1999075,2001990,2004800,2007657,2010420,2013122,2015889,2018532,2021148,2023754,2026308,2028820,2031273,2033659,2035982,2038274,2040541,2042765,2045014,2047179,2049364,2051440,2053527,2055511,2057594,2059573,2061482,2063347,2065277,2067143,2069066,2070920,
10791934,50149,155528,277013,393829,501502,598185,684593,762755,832322,895266,952031,1003736,1051123,1094256,1134198,1171659,1206523,1238577,1268271,1296335,1323265,1348375,1371744,1394038,1414979,1435117,1454218,1472201,1489389,1506046,1521715,1536585,1551075,1564739,1578038,1590954,1603344,1615153,1626520,1637374,1648063,1658299,1668191,1677851,1687114,1695958,1704544,1713006,1721225,1729140,1736887,1744506,1751743,1758656,1765574,1772102,1778611,1785066,1791326,1797469,1803508,1809314,1815052,1820477,1825821,1831071,1836271,1841367,1846285,1850962,1855651,1860163,1864672,1869036,1873399,1877614,1881744,1885901,1890020,1893964,1897837,1901594,1905245,1908852,1912396,1915830,1919228,1922623,1925886,1929109,1932325,1935495,1938531,1941542,1944515,1947479,1950433,1953292,1956178,1958918,1961584,1964365,1967118,1969758,1972198,1974781,1977270,1979783,1982172,1984576,1986927,1989256,1991447,1993714,1995949,1998161,2000366,2002495,2004612,
1080202,16103,71906,152867,242099,330898,415715,494463,567714,635065,696963,753847,806555,855215,900343,942133,981154,1017247,1051685,1084216,1114455,1143370,1170611,1196459,1220866,1244027,1266046,1287350,1307622,1326610,1344761,1362098,1378861,1394831,1410307,1425205,1439598,1453296,1466537,1479349,1491773,1503803,1515393,1526726,1537676,1548218,1558440,1568483,1577931,1587359,1596329,1605041,1613657,1621875,1630073,1638182,1645788,1653246,1660662,1667733,1674795,1681478,1688119,1694691,1701176,1707380,1713402,1719266,1725043,1730711,1736266,1741725,1747011,1752192,1757274,1762241,1767065,1771959,1776720,1781261,1785763,1790312,1794618,1799016,1803222,1807263,1811399,1815372,1819274,1823132,1826922,1830667,1834165,1837777,1841416,1844916,1848280,1851640,1855007,1858290,1861538,1864792,1867918,1871026,1874082,1877006,1880064,1882989,1885816,1888675,1891315,1894086,1896808,1899480,1902193,1904858,1907462,1909964,1912446,1914889,
10819,2578,20262,58276,110845,170583,233369,295823,357186,415897,471287,523946,573870,620908,665147,706466,745483,782770,817943,851655,883587,913931,942476,970050,995915,1020688,1044753,1067636,1089712,1110710,1130937,1150332,1168928,1187014,1204309,1220701,1236822,1252580,1267449,1282035,1296214,1309772,1322848,1335600,1347899,1359990,1371671,1383280,1394266,1404816,1415215,1425185,1435034,1444736,1454078,1463253,1472243,1480985,1489549,1497820,1505862,1513852,1521590,1529138,1536533,1543927,1551043,1557973,1564683,1571232,1577716,1584023,1590261,1596426,1602504,1608422,1614162,1619596,1625084,1630556,1635881,1641076,1646345,1651318,1656369,1661390,1666217,1671020,1675633,1680189,1684689,1689076,1693460,1697700,1701850,1706036,1710016,1714104,1718085,1721897,1725705,1729488,1733151,1736914,1740515,1744056,1747551,1751032,1754468,1757759,1761140,1764328,1767515,1770808,1773859,1776987,1779992,1783004,1786041,1788931,
10820,620,7815,28502,61689,103971,151866,201992,252714,302953,352584,400087,446306,490143,532189,572199,610626,646945,681730,714940,746731,776966,805957,833835,860266,885990,910351,934039,956435,977981,998862,1019093,1038703,1057296,1075350,1092907,1109869,1126331,1141924,1157179,1172103,1186511,1200456,1213836,1226936,1239603,1252127,1264163,1275735,1287198,1298412,1309038,1319609,1330030,1340197,1350304,1359972,1369336,1378493,1387412,1396174,1404646,1413152,1421373,1429337,1437024,1444769,1452286,1459621,1466724,1473670,1480655,1487351,1494204,1500553,1506964,1513152,1519196,1525323,1531266,1536960,1542655,1548310,1553844,1559346,1564773,1569733,1574923,1579932,1584953,1589930,1594788,1599537,1604092,1608805,1613318,1617785,1622164,1626488,1630766,1634941,1639100,1643178,1647196,1651195,1655069,1658882,1662668,1666411,1670197,1673819,1677424,1680975,1684404,1687846,1691326,1694707,1698010,1701355,1704640,
10830,102,2170,10670,27674,52768,84625,120196,158448,198369,238557,278868,318232,356485,394074,430624,466435,500411,533036,564778,594947,624078,652237,679396,705566,730812,755594,779174,802155,824172,845391,865780,885781,905143,923956,942279,959590,976338,992743,1008902,1024456,1039516,1054110,1068417,1082297,1095779,1108915,1121717,1134061,1146298,1158182,1169778,1181087,1192287,1203154,1213645,1224073,1234188,1243957,1253546,1262801,1271900,1280846,1289622,1298088,1306550,1314814,1322915,1330996,1338892,1346570,1354113,1361397,1368490,1375539,1382497,1389418,1396051,1402669,1409151,1415594,1421708,1427942,1434139,1440097,1445931,1451577,1457099,1462781,1468292,1473588,1478886,1484141,1489228,1494206,1499171,1504010,1508877,1513677,1518378,1522936,1527470,1531975,1536337,1540835,1545081,1549408,1553746,1557854,1561980,1566101,1570224,1574205,1578045,1581886,1585581,1589139,1592807,1596431,1600036,
10840,6,303,2572,8749,20246,36558,57626,81763,108957,137740,167046,197443,228027,258792,288955,318950,348522,377345,405728,433407,460108,486182,511774,536533,560563,583850,606494,628732,650114,670787,691085,710782,730037,748520,766847,784680,801900,818633,835052,851155,866575,881471,896099,910375,924336,938013,951419,964398,977366,990073,1002248,1014341,1025971,1037376,1048451,1059504,1070462,1080909,1090913,1100936,1110722,1120311,1129744,1138861,1147803,1156661,1165354,1173835,1182249,1190419,1198380,1206394,1214328,1222000,1229651,1237063,1244287,1251550,1258513,1265507,1272345,1278927,1285665,1292066,1298445,1304608,1310695,1316882,1322954,1328880,1334761,1340594,1346181,1351731,1357196,1362597,1367895,1373218,1378527,1383477,1388445,1393382,1398346,1403125,1407786,1412467,1417220,1421819,1426359,1430831,1435272,1439591,1443900,1448152,1452355,1456535,1460545,1464642,1468600,
10850,0,19,313,1554,4705,10448,19034,30477,44407,60416,78198,97613,117887,139031,160803,182954,205532,228027,250432,272713,294820,316853,338330,359794,380721,401450,421476,441338,461085,480375,499212,517443,535468,552900,570040,586820,603282,619616,635489,651103,666173,681172,695911,710230,724028,737576,751218,764564,777489,790279,802742,814974,826838,838707,850035,861212,872402,883012,893587,903982,914093,924112,934051,943582,953277,962663,971928,980882,989887,998620,1007247,1015601,1023969,1032156,1040249,1048065,1055794,1063527,1071237,1078605,1086066,1093105,1100231,1107139,1114045,1120722,1127374,1134047,1140609,1147068,1153390,1159615,1165878,1171941,1177991,1183783,1189616,1195353,1201019,1206579,1212123,1217561,1222901,1228077,1233224,1238328,1243463,1248582,1253563,1258540,1263441,1268240,1273026,1277688,1282310,1286939,1291432,1295828,1300284,
10860,0,0,52,342,1327,3491,7311,12875,20351,29766,40542,52896,66652,81430,97173,113704,130639,148263,165863,183802,201754,219791,238251,256365,274216,292027,309654,326925,344147,361143,378119,394858,411477,427688,443715,459321,474909,490261,505273,519705,534274,548213,562533,576333,589788,603169,616272,628994,641807,654202,666363,678210,690083,701664,713113,724318,735125,745920,756445,766875,777103,787185,797020,806909,816500,826050,835328,844440,853492,862396,870983,879501,888013,896403,904825,912909,920937,928611,936274,943811,951297,958902,966209,973451,980557,987727,994672,1001448,1008116,1014855,1021637,1028075,1034513,1040640,1046928,1053156,1059115,1065096,1071009,1076874,1082778,1088513,1094004,1099504,1105038,1110519,1115927,1121193,1126489,1131619,1136823,1141884,1146919,1151946,1156863,1161739,1166640,1171401,1176053,
10870,0,0,3,38,230,756,1947,4038,7091,11430,16695,23226,30853,39649,49343,59951,71041,82715,94967,107892,121069,134635,148344,162265,176606,190620,204838,218972,233310,247570,261925,275988,290247,304292,318187,331526,345134,358512,371678,385141,398134,410948,423671,436281,448717,461057,473172,485096,496705,508270,519779,530926,542078,553127,564064,574792,585226,595819,605977,616058,626062,635909,645553,655152,664697,674104,683377,692452,701285,710008,718694,727221,735713,743901,752240,760128,768082,776140,783974,791674,799257,806949,814459,822012,829181,836244,843365,850329,857284,864111,870903,877599,884023,890457,896798,903129,909419,915565,921627,927659,933555,939465,945331,951090,956681,962391,967836,973455,978849,984288,989605,994926,1000030,1005143,1010155,1015278,1020289,1025244,1030193,
10880,0,0,0,1,15,88,299,774,1611,2901,4761,7297,10450,14336,18867,23998,29977,36495,43579,51184,59342,67758,76472,85455,94894,104772,114750,124969,135310,145871,156497,167282,177909,188617,199553,210393,221250,232193,242994,253771,264582,275317,286044,296578,307174,317621,327876,338265,348525,358875,369054,379142,388870,398588,408213,417646,427143,436603,446191,455573,464714,473675,482847,491643,500343,509008,517560,525901,534194,542561,550835,559020,567055,575015,582972,590729,598347,605988,613450,620806,628304,635592,642898,650134,657150,664183,671222,678156,685028,691783,698536,705096,711450,717952,724416,730820,737190,743522,749572,755596,761430,767482,773480,779358,785079,790666,796216,801667,807046,812455,817869,823244,828743,833862,839060,844201,849288,854388,859360,
10890,0,0,0,0,2,8,17,60,166,363,732,1273,2077,3151,4607,6360,8431,10840,13804,17035,20654,24558,28937,33552,38435,43823,49291,55147,61150,67464,74009,80443,87357,94299,101392,108616,115982,123358,130959,138630,146372,154244,161824,169794,177655,185490,193377,201383,209331,217391,225247,233158,241029,248929,256706,264573,272372,280127,287763,295585,303339,310880,318416,326004,333623,341172,348757,356082,363484,370481,377768,384866,391944,398896,406059,412999,419920,426800,433635,440346,447006,453560,460093,466755,473354,479689,486126,492518,498798,505041,511269,517436,523420,529204,535100,540903,546825,552639,558538,564286,569877,575542,581050,586532,592056,597555,602958,608392,613726,618989,624281,629448,634601,639629,644669,649740,654658,659635,664514,
10900,0,0,0,0,0,0,1,2,6,24,57,92,197,344,540,809,1202,1680,2308,3067,3994,5045,6351,7798,9392,11276,13266,15483,17826,20454,23155,26123,29180,32363,35889,39481,43103,46886,50971,54948,59055,63402,67883,72342,76885,81489,86391,91167,96106,101094,106074,111088,116059,121345,126558,131697,136949,142188,147540,152941,158367,163684,169078,174597,179972,185270,190674,196166,201540,206935,212326,217759,223103,228536,233920,239205,244642,250017,255398,260842,266229,271649,276949,282194,287489,292753,298080,303203,308339,313473,318596,323764,328909,333905,339053,343995,348883,353787,358721,363686,368651,373477,378270,383043,387792,392553,397327,402169,406960,411608,416323,420802,425350,429877,434302,438893,443376,447800,452199,
10910,0,0,0,0,0,0,0,0,0,0,0,3,4,14,32,59,86,149,231,329,462,660,892,1177,1563,1957,2421,2976,3603,4323,5121,5998,6962,8060,9194,10443,11830,13295,14811,16422,18135,19958,21916,23834,25912,28073,30359,32663,35083,37585,40082,42585,45217,47861,50575,53348,56214,59127,62155,65181,68281,71338,74588,77893,81112,84318,87646,91091,94558,98069,101531,105016,108482,111989,115595,119114,122636,126144,129840,133511,137111,140776,144487,148194,151830,155494,159190,162896,166634,170278,173840,177542,181299,184985,188660,192383,196090,199896,203677,207355,211071,214818,218459,222169,225934,229668,233378,237008,240788,244440,248191,251837,255536,259187,262798,266452,270035,273587,277170,
10920,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,5,9,16,30,51,77,99,147,208,257,346,434,564,695,883,1106,1328,1556,1841,2125,2436,2817,3201,3658,4098,4602,5133,5724,6360,7007,7700,8451,9273,10070,10912,11793,12778,13766,14752,15824,16852,18000,19179,20419,21707,23027,24321,25637,27031,28400,29862,31391,32889,34479,36045,37661,39326,40975,42691,44481,46221,47997,49858,51676,53584,55501,57398,59381,61388,63389,65395,67457,69464,71473,73449,75515,77607,79779,81924,84020,86153,88399,90564,92784,95048,97332,99524,101805,104061,106316,108572,110796,113098,115443,117766,120023,122340,124800,127021,129347,
10930,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,5,7,8,14,21,30,44,59,72,99,121,147,183,223,267,307,359,414,494,556,653,739,829,921,1038,1167,1288,1433,1614,1782,1964,2179,2385,2615,2842,3097,3363,3666,3964,4262,4582,4923,5274,5634,6015,6399,6802,7218,7647,8099,8546,9022,9530,10040,10531,11054,11584,12158,12793,13388,13984,14603,15239,15858,16532,17219,17859,18542,19274,20042,20809,21570,22396,23181,23999,24865,25648,26485,27316,28192,29074,30011,30931,31861,32754,33728,34669,35599,
10940,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,4,6,9,13,17,17,21,23,27,33,36,42,46,54,67,73,83,97,112,129,145,162,180,201,224,246,268,300,323,361,386,422,463,501,543,586,616,654,694,750,811,870,931,991,1052,1119,1201,1283,1366,1453,1557,1648,1747,1842,1943,2042,2143,2262,2371,2505,2628,2764,2896,3025,3170,
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10972440,55290,165750,288792,406385,513608,609587,695063,771258,839054,900407,955613,1006088,1052076,1094475,1133228,1169559,1203286,1234373,1263373,1290755,1316592,1340625,1363292,1384648,1405028,1424380,1442688,1460044,1476757,1492695,1507982,1522349,1536216,1549527,1562280,1574765,1586403,1597833,1608767,1619272,1629528,1639447,1649028,1658242,1667172,1675859,1684302,1692327,1700155,1707802,1715217,1722689,1729757,1736637,1743212,1749640,1756029,1762229,1768201,1773991,1779707,1785267,1790761,1796175,1801353,1806448,1811441,1816319,1821127,1825714,1830208,1834596,1838875,1843171,1847322,1851415,1855438,1859341,1863192,1867032,1870818,1874496,1878137,1881633,1885064,1888465,1891890,1895202,1898441,1901600,1904721,1907721,1910599,1913547,1916488,1919445,1922300,1925090,1927878,1930552,1933130,1935712,1938333,1940965,1943418,1945830,1948280,1950685,1952997,1955256,1957582,1959887,1962071,1964223,1966408,1968497,1970612,1972688,1974759,
1098305,18933,79507,164144,255164,345034,429715,508310,580616,646593,707137,762799,813986,861232,904962,945954,983808,1019142,1052300,1083509,1112810,1140668,1166925,1191570,1214968,1237657,1258925,1279275,1298612,1317177,1334889,1351892,1367916,1383332,1398288,1412761,1426592,1439876,1452765,1465136,1477154,1488539,1499574,1510219,1520685,1530840,1540798,1550296,1559546,1568620,1577186,1585668,1593932,1601780,1609652,1617332,1624652,1631879,1639091,1645986,1652763,1659319,1665677,1672005,1678080,1684176,1689905,1695597,1701223,1706568,1711882,1717067,1722220,1727146,1731918,1736729,1741523,1746097,1750681,1755011,1759365,1763782,1767964,1772154,1776115,1780147,1784062,1787864,1791540,1795258,1798923,1802535,1806116,1809590,1813038,1816383,1819631,1822811,1825991,1829153,1832271,1835310,1838310,1841255,1844225,1847074,1849927,1852831,1855624,1858305,1860995,1863699,1866265,1868871,1871386,1873891,1876410,1878837,1881291,1883685,
109912,3463,24526,66962,123004,185424,250059,313051,374285,432619,487676,539705,588429,634826,678377,718903,757476,793869,828538,860936,891626,920814,948477,974959,1000062,1023635,1046661,1068736,1089943,1110170,1129539,1148107,1166010,1183299,1199659,1215496,1230771,1245772,1260106,1273973,1287632,1300760,1313147,1325377,1337151,1348805,1360064,1370974,1381577,1391839,1401656,1411249,1420608,1429922,1438702,1447573,1456228,1464663,1472780,1480679,1488440,1496019,1503292,1510487,1517460,1524277,1531013,1537674,1544232,1550572,1556847,1562742,1568602,1574568,1580297,1585923,1591349,1596788,1602083,1607269,1612368,1617379,1622347,1627168,1631838,1636502,1641046,1645517,1649874,1654235,1658404,1662687,1666811,1670912,1674984,1678953,1682818,1686571,1690390,1694158,1697818,1701508,1704969,1708602,1712077,1715474,1718824,1722160,1725433,1728623,1731827,1734910,1738071,1741171,1744077,1746930,1749853,1752825,1755600,1758482,
11000,964,10189,34167,71500,117267,167666,219862,271771,322910,372676,420637,466401,509787,551440,590642,628196,663356,697347,729456,760241,789462,817564,844319,870172,894798,918319,940973,962830,983548,1003534,1023011,1041540,1059364,1076722,1093376,1109569,1125280,1140240,1154889,1168987,1182898,1196376,1209254,1221831,1233983,1245736,1257174,1268698,1279432,1289995,1300341,1310430,1320174,1329839,1339196,1348301,1357134,1365801,1374085,1382408,1390505,1398382,1406265,1413839,1421172,1428349,1435574,1442791,1449642,1456412,1463047,1469528,1475834,1481862,1487877,1493898,1499757,1505466,1511139,1516717,1522161,1527536,1532786,1537828,1542716,1547558,1552406,1557188,1561915,1566653,1571269,1575761,1580192,1584506,1588836,1593077,1597223,1601166,1605117,1609077,1613036,1617009,1620879,1624674,1628389,1631989,1635554,1639096,1642683,1646117,1649467,1652817,1656330,1659597,1662801,1666009,1669176,1672242,1675368,
11010,172,3151,14016,34511,63117,98114,136572,176994,218466,259661,300477,340219,379261,416986,453770,488848,522279,554870,585831,615442,643849,671451,697733,723185,747622,771612,794561,816506,837626,858133,877557,896802,915288,933230,950652,967347,983503,998946,1014243,1029080,1043518,1057528,1071246,1084561,1097457,1109973,1122101,1134031,1145737,1157088,1168034,1178641,1189290,1199540,1209287,1218985,1228425,1237596,1246745,1255611,1264212,1272769,1280974,1289153,1297199,1305033,1312520,1319974,1327305,1334416,1341599,1348628,1355571,1362384,1368909,1375417,1381618,1387832,1394047,1399986,1405795,1411470,1417241,1422805,1428268,1433709,1439074,1444340,1449564,1454681,1459696,1464663,1469554,1474337,1479041,1483783,1488409,1492992,1497365,1501699,1505908,1510242,1514391,1518419,1522540,1526643,1530680,1534500,1538425,1542131,1545853,1549649,1553278,1557027,1560599,1564099,1567456,1570851,1574272,
11020,11,568,3869,12283,26463,46133,70178,97061,126338,157149,188420,220378,252022,283070,314050,344644,374501,403577,431793,459081,485506,511468,536398,560779,584096,606698,628805,650396,670932,690923,710641,729605,748094,766157,783581,800653,817227,833334,848990,864340,879202,893477,907639,921419,934677,947764,960383,972685,984815,996668,1008123,1019502,1030646,1041540,1052084,1062549,1072862,1082613,1092366,1101740,1110983,1119876,1128792,1137468,1146114,1154624,1162831,1170701,1178617,1186264,1193884,1201331,1208733,1215988,1223147,1230089,1236924,1243653,1250212,1256834,1263318,1269687,1275933,1281986,1287932,1293732,1299622,1305386,1311026,1316539,1322122,1327535,1332698,1338027,1343260,1348310,1353291,1358161,1363013,1367866,1372593,1377163,1381757,1386287,1390836,1395250,1399647,1403983,1408314,1412480,1416683,1420804,1424859,1428889,1432756,1436653,1440503,1444189,1448093,
11030,0,38,555,2570,7201,14974,25869,39852,56261,74895,94841,116433,138800,161518,184791,208191,231730,255082,278193,301134,323798,346024,367986,389345,410440,431010,451309,470768,490148,509040,527346,545129,562691,579899,596790,612950,629026,644961,660247,675242,689872,704184,718296,731844,745172,758195,771055,783656,795983,808042,819778,831517,842904,854165,864999,875569,885764,896024,905988,915787,925394,935008,944304,953522,962593,971454,979994,988422,996769,1004976,1013270,1021179,1029032,1036696,1044284,1051701,1059023,1066260,1073319,1080321,1087280,1094174,1101030,1107555,1114049,1120467,1126778,1132964,1139017,1145063,1150942,1156755,1162521,1168199,1173790,1179342,1184771,1190174,1195523,1200748,1205906,1210940,1215982,1220874,1225744,1230525,1235262,1240137,1244775,1249377,1253971,1258570,1262903,1267309,1271686,1275899,1280198,1284370,1288509,
11040,0,4,113,684,2430,5731,11176,18897,28610,40437,53651,68116,83807,100766,118345,136289,154754,173420,192146,211357,230452,249226,268268,287074,305543,323726,341797,359351,376539,393650,410703,427306,443645,459706,475563,490871,506066,520991,535720,550210,564210,577974,591566,604951,617937,630834,643475,655652,667794,679831,691453,702810,714170,725282,736380,747019,757478,767762,777878,787819,797742,807297,816539,825859,834904,843997,852855,861582,870066,878365,886570,894648,902734,910450,918354,925962,933496,940881,948070,955256,962349,969397,976285,983050,989693,996396,1002912,1009324,1015469,1021843,1027969,1033987,1040022,1045920,1051795,1057548,1063320,1068774,1074436,1079939,1085301,1090656,1096001,1101193,1106215,1111275,1116361,1121382,1126340,1131260,1136029,1140804,1145502,1150150,1154734,1159199,1163690,1168123,1172480,
11050,0,0,8,105,485,1556,3612,6795,11402,17216,24679,33223,42931,53630,65265,77711,90660,104166,118336,132796,147432,162306,177124,192207,207351,222554,237454,252371,267068,281836,296283,310822,325297,339512,353550,367661,381077,394424,407606,420511,433680,446551,459052,471812,484066,495989,507727,519569,531123,542537,553625,564553,575380,586130,596707,606941,617128,627322,636978,646684,656255,665760,675252,684401,693423,702226,711059,719814,728416,736940,745108,753218,761239,769116,777046,784779,792331,799824,807183,814565,821751,828822,835823,842733,849808,856533,863152,869692,876150,882583,888802,895032,901068,907171,913157,919127,924814,930556,936268,941836,947338,952978,958539,963792,969179,974460,979807,985007,990005,995028,999923,1004836,1009706,1014616,1019408,1024141,1028844,1033342,1037844,
11060,0,0,0,14,59,240,751,1631,3149,5373,8414,12212,16832,22364,28497,35476,43003,51164,60082,69506,79089,89116,99507,110157,121029,131905,143010,154488,165936,177593,189267,200849,212415,223984,235428,246822,258028,269457,280794,292053,302992,314097,325034,335789,346505,357265,367976,378679,389046,399353,409463,419225,429168,438974,448578,458204,467753,476973,486186,495265,504253,513067,522023,530824,539499,547897,556056,564293,572415,580399,588499,596199,604055,611687,619222,626776,634407,641729,648894,655980,663098,670077,677164,684052,690792,697641,704270,710731,717106,723313,729794,736050,742111,748141,754217,760132,765949,771770,777507,783201,788950,794645,800120,805530,810975,816266,821532,826754,831974,837032,842070,847151,852206,857030,861936,866685,871481,876233,880874,
11070,0,0,0,0,4,15,74,203,482,960,1724,2856,4374,6354,8816,11587,14815,18506,22717,27308,32288,37719,43386,49416,55926,62590,69411,76660,84056,91622,99336,107333,115124,123184,131490,139892,148368,156645,165060,173716,182366,190878,199542,208199,216717,225133,233742,242156,250650,259149,267616,276047,284294,292336,300692,308729,316831,324826,332826,340623,348432,356252,363966,371464,379143,386643,394035,401591,408806,416046,423341,430510,437567,444638,451567,458303,465129,471925,478642,485295,491828,498433,504863,511348,517683,523818,529968,536071,542060,548101,554062,560089,565993,571880,577693,583293,588892,594472,600156,605701,611205,616558,621958,627324,632596,637907,642989,648054,653137,658268,663280,668324,673217,678117,682917,687688,692397,697029,701761,
11080,0,0,0,0,0,0,0,3,33,76,179,332,574,945,1481,2130,2958,3964,5173,6675,8405,10358,12502,14870,17592,20462,23616,26929,30416,34158,38137,42164,46490,50900,55405,60074,64951,69949,74894,79993,85292,90594,95999,101567,107202,112831,118559,124317,130034,135792,141566,147457,153428,159373,165243,171147,176966,182815,188703,194492,200495,206546,212463,218404,224422,230512,236389,242342,248120,254029,259737,265523,271240,276947,282573,288507,294210,299914,305476,311145,316755,322162,327736,333203,338528,343804,349246,354654,360025,365360,370649,375824,380916,385957,391012,396174,401399,406286,411269,416161,421012,425889,430602,435518,440352,445143,449816,454476,459120,463780,468285,472799,477254,481892,486449,490789,495214,499500,503793,
11090,0,0,0,0,0,0,0,0,0,1,7,19,42,75,138,226,377,548,786,1086,1447,1908,2489,3168,3940,4842,5837,6971,8234,9563,11009,12590,14337,16178,18194,20339,22541,24841,27228,29752,32343,35039,37794,40697,43731,46782,49862,53129,56447,59706,63113,66542,69954,73598,77299,80996,84795,88671,92491,96368,100196,104145,108169,112036,115971,120105,124124,128311,132384,136475,140612,144648,148733,152923,157104,161242,165562,169720,173811,178036,182192,186406,190573,194683,198826,202890,206916,211109,215254,219347,223319,227399,231457,235488,239600,243610,247646,251677,255681,259662,263696,267723,271835,275682,279498,283380,287332,291267,295102,298992,302821,306733,310539,314421,318199,321927,325699,329531,333258,
11100,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,6,13,23,38,58,85,126,180,257,343,471,627,774,971,1248,1561,1904,2268,2668,3140,3681,4293,4920,5601,6344,7164,7976,8816,9744,10708,11786,12970,14154,15389,16689,18033,19363,20828,22356,23857,25476,27084,28767,30392,32169,33959,35810,37697,39658,41638,43654,45715,47830,49880,52048,54196,56424,58650,60899,63127,65306,67607,69948,72285,74772,77158,79705,82158,84685,87213,89735,92202,94742,97273,99841,102471,105101,107677,110258,112900,115526,118140,120767,123256,125955,128590,131184,133848,136413,139040,141733,144438,147197,149796,152459,155176,157892,160577,163356,166087,168882,171632,174322,176976,
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11890,1171,12054,39850,82092,133460,189868,247741,305273,361308,415601,467234,516786,563803,608644,651044,690998,728953,764727,799261,831893,862928,892344,920882,947556,973457,997907,1021438,1044217,1065798,1086469,1106593,1125599,1144080,1161865,1179307,1195890,1211829,1227294,1242192,1256551,1270353,1283721,1296918,1309513,1321851,1333693,1345087,1356283,1367102,1377746,1387881,1397842,1407511,1416819,1426010,1434911,1443583,1452112,1460342,1468456,1476225,1483826,1491202,1498420,1505703,1512679,1519501,1526086,1532551,1538917,1545167,1551253,1557188,1562969,1568759,1574318,1579752,1585129,1590271,1595450,1600552,1605554,1610272,1614908,1619547,1624016,1628620,1633082,1637358,1641594,1645791,1649818,1653962,1657932,1661887,1665689,1669357,1673112,1676702,1680210,1683729,1687148,1690467,1693839,1697141,1700351,1703593,1706782,1709867,1712813,1715830,1718873,1721790,1724595,1727438,1730150,1732860,1735605,1738352,
11900,227,3915,17023,41474,74757,114669,158429,203926,250447,296886,342070,386171,429118,470539,510056,547885,584426,619125,652560,684564,715305,744575,772746,799822,825957,850713,874453,897744,919657,940837,961426,981286,1000518,1018976,1036715,1053887,1070789,1086824,1102483,1117429,1132202,1146404,1160175,1173516,1186246,1198782,1210948,1222879,1234334,1245496,1256210,1266782,1277127,1287195,1296992,1306638,1316009,1325085,1333887,1342585,1351022,1359323,1367348,1375173,1382839,1390331,1397760,1404929,1411949,1418920,1425722,1432430,1438918,1445196,1451477,1457532,1463492,1469303,1475108,1480707,1486164,1491532,1496795,1502086,1507074,1512080,1517084,1521977,1526701,1531463,1536113,1540666,1545066,1549500,1553826,1557994,1562094,1566167,1570256,1574164,1578020,1581934,1585633,1589215,1592802,1596533,1600036,1603499,1606938,1610342,1613701,1616995,1620297,1623456,1626585,1629707,1632744,1635750,1638719,
11910,24,834,5305,16017,33558,57283,85949,117885,151855,186904,223131,259250,295004,330197,364984,398742,431623,463637,494656,524655,553519,581412,608378,634292,659725,684182,707903,730551,752664,774127,794862,814887,834128,852955,871103,888505,905411,922119,937996,953714,968934,983797,998158,1012012,1025746,1038872,1051428,1063777,1075972,1087774,1099454,1110863,1121737,1132441,1142839,1152961,1162813,1172412,1181974,1191323,1200319,1209228,1217828,1226195,1234469,1242440,1250320,1258126,1265689,1273093,1280327,1287484,1294497,1301467,1308132,1314838,1321346,1327747,1334012,1340109,1346061,1351974,1357770,1363585,1369317,1374752,1380021,1385408,1390739,1395829,1400809,1405846,1410691,1415321,1420006,1424660,1429326,1433877,1438298,1442693,1447060,1451290,1455408,1459408,1463548,1467570,1471375,1475226,1479089,1482838,1486504,1490237,1493837,1497368,1500871,1504337,1507655,1511005,1514288,
11920,0,77,935,4143,10919,21384,35801,53794,74773,97811,122369,148213,174767,201992,229001,256015,283006,309468,335975,361670,387037,412144,436478,460005,483156,505924,527913,549096,569981,590269,609984,629205,647760,665929,683576,700951,717645,734012,750032,765724,780928,795941,810581,824707,838283,851595,864781,877740,890160,902449,914393,926030,937384,948567,959545,970217,980537,990611,1000561,1010153,1019696,1029053,1038063,1047097,1055704,1064424,1072816,1081101,1089164,1097174,1104893,1112546,1119934,1127360,1134629,1141848,1148921,1155862,1162593,1169142,1175734,1181968,1188273,1194371,1200516,1206531,1212424,1218078,1223698,1229242,1234724,1240202,1245504,1250741,1255837,1260856,1265935,1270881,1275675,1280473,1285071,1289579,1294117,1298535,1302995,1307357,1311569,1315745,1319938,1324062,1328160,1332191,1336151,1340125,1344077,1347795,1351423,1355011,1358610,
11930,0,2,76,518,1886,4815,9647,16547,25585,36767,49711,64044,79717,96251,113884,131920,150439,169463,188516,207991,227289,246536,265915,284983,303816,322599,341171,359344,377254,394736,411949,428866,445709,462297,478781,494495,509919,524961,539879,554733,568976,582976,596875,610327,623735,636801,649402,661865,674028,686119,697809,709268,720652,731605,742613,753286,763718,774016,783866,793723,803486,813023,822285,831568,840335,849279,857892,866464,874897,883211,891258,899314,907039,914507,922111,929648,936954,944144,951221,958337,965151,971976,978634,985204,991555,997813,1004183,1010279,1016308,1022341,1028161,1033713,1039399,1045195,1050822,1056239,1061494,1066676,1071933,1077058,1082081,1087006,1092013,1096934,1101689,1106300,1111005,1115665,1120154,1124589,1129064,1133264,1137583,1141776,1146033,1150144,1154217,1158334,1162321,
11940,0,0,7,89,417,1314,3140,6138,10367,15982,23093,31356,40921,51692,63206,75699,88695,102364,116360,130784,145818,161033,176238,191660,207021,222470,237613,252907,268008,283067,298161,312643,327245,341816,356120,370167,383917,397805,411269,424814,438174,451201,463946,476560,488977,501011,513002,524681,536213,547420,558653,569660,580614,591237,601704,611894,622074,632073,641829,651352,660801,670087,679304,688343,697177,705855,714402,722920,731365,739724,747824,755648,763310,770781,778492,786077,793386,800665,807745,814671,821527,828230,834939,841515,848110,854680,860907,867189,873388,879497,885483,891286,896933,902650,908371,913899,919474,925056,930467,935730,940918,945970,950929,955944,960823,965682,970463,975215,979889,984514,989154,993482,997878,1002171,1006522,1010741,1014958,1019229,1023416,
11950,0,0,0,10,52,243,693,1631,3168,5418,8502,12339,17046,22695,29017,36069,44015,52471,61662,71266,81411,91987,102808,113866,125078,136436,147881,159664,171458,183234,195146,206995,218840,230664,242298,253771,265484,276951,288506,300008,311245,322609,333551,344351,355108,365961,376530,387013,397350,407465,417568,427672,437664,447357,457037,466508,475758,484902,494139,503348,511978,520570,529266,537849,546347,554604,562933,570804,578764,586641,594352,601840,609286,616780,624119,631284,638239,645271,652189,658818,665560,672172,678717,685183,691523,698049,704233,710318,716342,722346,728203,734020,739720,745370,751035,756633,762208,767658,772972,778159,783289,788155,793298,798433,803244,808191,813109,817874,822586,827244,831824,836352,840834,845233,849612,853975,858202,862308,866539,
11960,0,0,0,0,2,23,94,259,603,1179,2122,3405,5159,7353,10135,13393,17009,21150,25868,31073,36536,42445,48863,55596,62671,70016,77619,85448,93444,101602,110037,118338,126861,135456,144220,152917,161668,170481,179217,188034,196630,205336,214145,223002,231789,240640,249347,258012,266539,275033,283426,291854,300097,308420,316777,325073,333033,341042,348909,356651,364489,372174,379746,387131,394510,401752,409021,416354,423651,430665,437681,444664,451430,458245,465127,471629,478108,484681,491076,497456,503693,509761,515888,521899,527882,533795,539653,545530,551313,557095,562703,568212,573794,579102,584320,589721,594915,600019,605150,610153,615171,620152,625041,629806,634538,639281,643957,648642,653192,657757,662214,666669,671044,675528,679802,684080,688415,692651,696783,
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13580,0,2,44,336,1138,2890,5932,10296,16079,23213,31235,40319,50273,60896,71927,83493,95218,107412,119671,131895,144020,156102,168380,180561,192420,204383,215787,227397,238718,249828,260622,271322,281907,292149,302193,312159,321890,331270,340633,349818,358817,367719,376253,384614,392826,400857,408885,416773,424277,431749,438922,446049,452988,459803,466634,473128,479521,485773,491988,497903,503723,509547,515235,520839,526269,531498,536659,541907,547041,552004,556966,561815,566633,571328,575925,580418,584894,589174,593418,597624,601727,605705,609702,613541,617329,620970,624774,628386,631977,635482,639060,642580,645906,649173,652390,655575,658662,661621,664651,667718,670615,673564,676355,679219,682000,684771,687483,690155,692846,695474,698113,700599,703049,705458,707858,710218,712568,714874,717130,
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138870,6987,36215,84218,141627,201375,260066,316302,368585,417561,463381,505994,545520,582087,616041,647922,677205,705012,730824,755484,778579,800334,821031,840447,859231,876902,893422,909249,924480,938936,952746,966052,978758,990777,1002389,1013794,1024615,1034997,1044880,1054512,1063752,1072598,1081179,1089475,1097551,1105296,1113019,1120256,1127386,1134269,1141066,1147469,1153797,1159899,1165779,1171418,1176934,1182312,1187501,1192655,1197585,1202494,1207249,1211892,1216455,1220828,1225084,1229289,1233440,1237405,1241326,1245124,1249017,1252588,1256075,1259608,1263017,1266335,1269643,1272903,1276090,1279174,1282182,1285075,1287817,1290739,1293485,1296289,1298992,1301598,1304062,1306553,1308931,1311284,1313744,1316037,1318376,1320599,1322828,1324994,1327085,1329222,1331263,1333299,1335300,1337185,1339160,1341102,1342911,1344746,1346615,1348438,1350257,1352044,1353783,1355483,1357136,1358771,1360245,1361824,
13898,2565,18310,49537,91395,138135,186348,234075,280269,324357,366056,405390,442458,476829,509513,540045,568682,595759,621415,645520,668377,690064,710450,729833,748457,766076,783217,799124,814430,829149,843333,857041,870124,882671,894637,906257,917454,928096,938384,948229,957618,966782,975749,984354,992581,1000635,1008425,1016031,1023434,1030551,1037406,1044156,1050731,1056982,1063182,1069214,1075067,1080833,1086280,1091615,1096864,1101804,1106826,1111690,1116376,1120958,1125394,1129823,1134158,1138369,1142547,1146555,1150442,1154346,1158099,1161745,1165253,1168871,1172349,1175655,1178994,1182347,1185620,1188674,1191828,1194889,1197809,1200755,1203567,1206399,1209160,1211764,1214406,1216975,1219494,1221921,1224294,1226707,1229086,1231318,1233533,1235754,1238017,1240209,1242368,1244500,1246507,1248501,1250451,1252419,1254310,1256253,1258157,1260037,1261798,1263640,1265438,1267227,1268849,1270540,
13900,708,7541,24782,51418,84862,121353,159106,196944,234146,270409,305032,337915,369539,399229,427786,454876,480512,505378,528685,550591,571423,591534,610560,628802,646246,663193,679338,694724,709374,723691,737279,750483,762888,775038,786930,798322,809293,819866,829991,839794,849277,858525,867349,875802,884089,892100,899811,907473,914894,922073,929087,935733,942240,948689,955018,961150,966956,972870,978448,983876,989248,994508,999639,1004450,1009207,1013812,1018501,1023019,1027313,1031630,1035790,1039902,1043972,1047854,1051598,1055374,1059027,1062651,1066220,1069669,1073038,1076499,1079810,1082996,1086132,1089240,1092263,1095293,1098208,1101142,1103982,1106808,1109482,1112105,1114712,1117296,1119694,1122215,1124676,1127101,1129454,1131783,1134022,1136263,1138454,1140503,1142615,1144704,1146755,1148771,1150818,1152752,1154715,1156640,1158510,1160416,1162247,1164077,1165839,
13910,116,2140,9629,23832,43627,67734,94545,122720,151574,180541,208649,236425,263417,289470,314837,339026,362399,384804,406120,426800,446666,465627,483787,501229,517917,534230,549756,564684,578942,592762,606048,618793,631363,643411,655027,666238,677123,687774,697819,707634,717139,726382,735361,744059,752508,760827,768726,776611,784103,791441,798538,805503,812035,818733,825129,831426,837554,843483,849288,854944,860504,865840,871019,876117,881117,886071,890819,895453,899986,904417,908740,913008,917278,921291,925239,929188,933119,936889,940608,944191,947828,951320,954757,958215,961567,964889,968094,971355,974400,977384,980357,983292,986090,988859,991552,994237,996919,999480,1001956,1004353,1006858,1009297,1011701,1014021,1016353,1018671,1020971,1023157,1025347,1027530,1029576,1031694,1033789,1035837,1037903,1039902,1041758,1043633,1045464,
13920,27,835,4690,12816,25689,42586,62429,84385,107505,131363,155583,179455,202848,225828,248237,270158,291363,312048,331747,351007,369234,387148,404188,420870,436773,452359,467242,481697,495661,509166,521977,534515,546756,558554,569890,580927,591660,602024,612106,621688,631300,640479,649540,658167,666668,674815,682736,690414,697884,705122,712157,719064,725834,732456,738890,745094,751342,757406,763326,769080,774697,780077,785365,790623,795600,800593,805406,810293,814857,819297,823734,828146,832422,836638,840755,844724,848702,852526,856280,859955,863551,867067,870432,873908,877435,880741,883888,887068,890204,893391,896385,899262,902237,905102,907847,910686,913374,916106,918779,921338,923866,926360,928813,931249,933614,935921,938261,940563,942830,945010,947181,949294,951408,953474,955500,957461,959383,961392,963241,
13930,9,245,1756,6026,13506,24443,37895,53657,70962,89388,108315,127706,147090,166250,185432,204175,223026,241234,258910,276020,292702,309001,324693,340083,354819,369149,383453,396866,409913,422673,435222,447330,459005,470358,481433,492002,502360,512424,522395,531731,541060,550052,558737,567205,575350,583337,591210,598792,606300,613549,620684,627626,634272,640900,647209,653437,659489,665361,671220,676914,682608,687953,693282,698438,703494,708450,713317,718134,722791,727442,731947,736273,740603,744840,748949,752894,756887,760712,764530,768283,771987,775524,779060,782543,785932,789257,792478,795788,798980,802155,805248,808295,811332,814217,817086,819884,822620,825324,828063,830689,833356,835927,838420,840852,843360,845873,848298,850612,852896,855222,857376,859637,861727,863920,865948,867987,869964,872014,874006,
13940,0,57,552,2274,5869,11705,19824,29759,41471,54340,68280,82732,97783,113075,128741,144351,159867,175111,190094,204936,219434,233785,247785,261390,274506,287401,300263,312537,324462,336162,347592,358677,369573,380145,390437,400394,410102,419451,428766,437829,446537,455207,463540,471641,479539,487220,494908,502289,509507,516515,523477,530268,536862,543277,549561,555762,561658,567466,573286,579033,584440,589806,595028,600168,605088,610065,614856,619688,624549,629234,633742,638099,642425,646699,650872,654857,658903,662899,666760,670507,674192,677904,681452,684982,688375,691740,695137,698440,701605,704834,707990,711106,714022,717007,719827,722689,725492,728263,731044,733705,736302,738848,741415,743937,746428,748990,751418,753751,756088,758341,760573,762729,764871,767070,769150,771274,773351,775457,777433,
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149646,6866,35825,82581,138035,195793,252343,305740,356064,402395,445311,485462,522349,556423,588560,618091,645546,671088,695322,717984,739031,758933,777687,795466,812031,827861,842957,857324,870666,883829,896198,908246,919418,930180,940388,950233,959823,968812,977396,985751,993856,1001459,1008869,1016148,1022988,1029671,1035920,1042124,1048127,1053890,1059430,1064929,1070090,1075217,1080166,1085044,1089642,1094148,1098678,1102872,1107018,1111108,1115045,1118868,1122443,1125954,1129375,1132756,1136010,1139187,1142273,1145322,1148260,1151125,1153873,1156587,1159284,1161956,1164503,1167069,1169460,1171808,1174141,1176516,1178815,1181052,1183158,1185296,1187362,1189354,1191338,1193254,1195122,1196982,1198768,1200523,1202214,1203949,1205568,1207157,1208727,1210231,1211746,1213235,1214720,1216184,1217539,1218878,1220252,1221598,1222890,1224173,1225450,1226675,1227882,1229083,1230204,1231342,1232524,1233641,
149711,2678,18209,49181,90012,135532,182248,227911,271787,313753,352968,389988,424248,456209,486434,514809,541377,566185,589722,611829,632620,652207,670820,688514,705354,721132,736398,750821,764567,777589,790293,802322,813701,824648,834960,845036,854620,863788,872581,881138,889395,897370,905124,912647,919817,926801,933292,939593,945872,951839,957726,963279,968666,973974,979047,984101,989013,993794,998336,1002614,1006918,1011118,1015142,1019021,1022835,1026426,1030005,1033615,1037075,1040503,1043834,1046972,1050059,1052981,1055922,1058789,1061636,1064401,1067139,1069759,1072268,1074775,1077132,1079522,1081778,1084113,1086426,1088592,1090644,1092751,1094873,1096935,1098929,1100880,1102793,1104642,1106480,1108298,1110089,1111866,1113547,1115249,1116873,1118475,1120034,1121544,1123067,1124539,1126080,1127551,1128901,1130275,1131618,1132917,1134202,1135505,1136737,1137940,1139129,1140311,
14981,766,7840,25294,51842,84237,119619,156482,192606,228307,262265,294862,325583,354636,382829,409083,434235,458030,480503,501695,521760,540834,559252,576509,592973,608553,623646,637707,651295,664367,676750,688671,700066,711059,721530,731588,741298,750706,759835,768571,776960,784924,792672,800217,807588,814449,821223,827841,834198,840329,846275,852105,857742,863243,868451,873563,878512,883308,888038,892707,897230,901611,905736,909834,913733,917593,921304,924940,928423,931864,935226,938544,941711,944935,948073,951068,953986,956867,959703,962375,965089,967690,970256,972714,975155,977518,979926,982188,984408,986632,988750,990846,992903,994960,996917,998792,1000643,1002517,1004363,1006161,1007910,1009617,1011291,1012928,1014604,1016238,1017870,1019426,1020932,1022379,1023751,1025151,1026521,1027906,1029275,1030592,1031867,1033151,1034390,1035626,
14990,169,2512,10366,24920,44909,69070,95279,122864,150888,178655,205601,231460,256811,281119,304155,326859,348241,368484,387948,406633,424450,441499,457707,473047,487912,502272,516062,529069,541426,553574,565260,576512,587248,597670,607675,617307,626383,635490,644077,652450,660517,668297,676001,683403,690389,697396,704022,710369,716532,722623,728445,734135,739682,744964,750171,755303,760128,764859,769391,773943,778367,782689,786806,790781,794707,798524,802322,805931,809519,813085,816487,819777,823007,826231,829360,832329,835317,838175,840974,843729,846317,848897,851420,853937,856505,858972,861367,863645,865981,868228,870400,872586,874709,876769,878738,880734,882667,884569,886456,888296,890115,891883,893605,895298,896939,898527,900085,901599,903194,904735,906264,907739,909195,910544,911933,913260,914652,915957,917227,
15000,57,1067,5378,14435,28104,45603,65715,87642,110227,133246,156304,178781,201137,222733,243913,264295,283833,302600,320774,337919,354494,370554,385698,400376,414485,428227,441309,453795,466017,477526,488904,500042,510564,520534,530332,539729,548913,557582,566070,574145,582123,589791,597176,604360,611420,618142,624863,631108,637181,643179,648972,654685,660130,665413,670512,675605,680488,685284,689853,694449,698840,703174,707397,711601,715519,719420,723269,726958,730582,734074,737540,740834,744120,747249,750409,753397,756390,759311,762157,764920,767660,770338,772838,775426,777859,780310,782699,785006,787320,789580,791815,793980,796152,798290,800329,802410,804321,806304,808212,810107,811897,813727,815456,817192,818931,820660,822299,823913,825521,827042,828599,830128,831587,833041,834458,835883,837247,838592,839914,
15010,9,365,2404,7392,15903,27489,41713,57876,75269,93569,112257,131040,149689,168099,186541,204228,221462,238245,254429,270286,285542,299983,314157,327899,341532,354089,366472,378345,389679,400733,411630,421941,432046,441662,450983,460066,468799,477227,485616,493488,501255,508869,516094,522886,529696,536327,542680,548929,555130,561038,566851,572384,577867,583142,588383,593425,598277,603037,607655,612127,616497,620748,624917,629010,632872,636713,640345,644043,647641,651241,654638,657996,661325,664643,667735,670840,673855,676879,679732,682443,685240,687949,690650,693185,695698,698071,700511,702863,705192,707406,709655,711883,713979,716080,718150,720176,722206,724137,726101,727978,729803,731599,733359,735161,736929,738686,740364,742027,743604,745233,746797,748307,749755,751236,752655,754070,755507,756875,758215,
15020,2,94,837,3148,7652,14513,23655,34408,46670,60158,74400,89103,103870,118827,133697,148430,162896,177124,191073,204864,218184,231290,243885,256078,267894,279336,290869,301843,312409,322566,332491,342255,351600,360740,369493,377987,386039,394126,402001,409535,416932,424351,431385,438132,444685,451056,457258,463293,469032,474782,480293,485711,491026,496065,501089,505838,510629,515350,519881,524365,528602,532818,536989,541135,544992,548773,552480,556131,559633,563136,566538,569844,573082,576319,579574,582596,585615,588564,591366,594227,596951,599658,602311,604973,607490,609945,612441,614752,617145,619456,621706,623839,626044,628121,630227,632313,634296,636252,638245,640055,641911,643697,645600,647448,649227,650881,652577,654220,655840,657374,658947,660431,661916,663365,664831,666234,667605,668962,670274,
15030,0,10,219,1017,2925,6288,11248,17666,25292,34302,44048,54246,65110,76166,87450,98870,110523,122268,133701,145203,156303,167206,178020,188479,198916,208878,218691,228310,237634,246719,255914,264471,272845,281127,288959,296747,304273,311663,318718,325778,332495,339122,345634,351959,358019,363946,369751,375562,381088,386434,391691,396821,401871,406628,411317,415965,420508,425013,429390,433662,437880,441939,445855,449719,453536,457397,461023,464562,467879,471279,474608,477765,480942,484089,487202,490249,493115,495882,498776,501498,504183,506857,509410,511955,514464,516815,519198,521552,523896,526045,528235,530419,532545,534709,536738,538696,540724,542641,544541,546413,548344,550134,551944,553735,555484,557191,558822,560345,561918,563467,565091,566693,568166,569626,571022,572431,573853,575226,576570,
15040,0,4,33,246,892,2212,4429,7521,11583,16597,22300,28829,35732,43124,51015,59114,67433,75935,84474,92997,101722,110329,118741,127206,135693,144099,152033,159944,167538,175320,182761,190175,197408,204529,211362,218077,224625,231099,237291,243494,249547,255493,261346,266947,272516,277915,283175,288270,293282,298169,302901,307611,312236,316718,321214,325454,329583,333696,337819,341885,345739,349435,353115,356777,360279,363852,367277,370578,373846,377103,380171,383156,386126,389192,392024,394875,397763,400465,403064,405649,408293,410834,413402,415864,418173,420450,422770,425039,427240,429330,431471,433637,435722,437761,439744,441757,443684,445565,447407,449276,451047,452831,454535,456237,457950,459574,461262,462869,464463,465994,467552,469064,470500,471931,473410,474718,476108,477479,478856,
15050,0,0,5,55,228,656,1496,2846,4703,7156,10366,14003,18225,22891,27801,33153,38838,44720,50714,56950,63256,69478,75858,82210,88654,95061,101524,107855,114166,120339,126387,132450,138500,144285,150062,155724,161311,166863,172343,177587,182872,187954,192952,197920,202772,207517,212061,216558,221031,225360,229683,233797,237920,242060,246129,250004,253824,257605,261258,264862,268372,271838,275185,278462,281754,284969,288125,291159,294192,297149,300112,302910,305717,308480,311219,313810,316490,319118,321631,324077,326475,328862,331164,333460,335763,337974,340122,342253,344341,346355,348344,350292,352230,354167,356127,358004,359840,361660,363439,365092,366851,368503,370210,371834,373453,375037,376597,378052,379490,380953,382415,383864,385245,386666,388038,389389,390732,392047,393349,
15060,0,0,1,8,30,142,386,743,1417,2375,3675,5375,7405,9792,12479,15353,18600,22070,25779,29526,33533,37615,41907,46199,50703,55199,59766,64199,68768,73179,77734,82203,86805,91207,95673,100094,104465,108859,113098,117342,121456,125514,129533,133502,137447,141441,145303,149022,152707,156342,159958,163457,166958,170456,173755,177057,180386,183482,186721,189837,192914,195974,198933,201927,204807,207657,210418,213153,215779,218424,221012,223549,225978,228325,230705,232996,235386,237753,240024,242212,244352,246545,248579,250700,252802,254808,256832,258708,260594,262475,264225,266000,267801,269576,271237,272981,274634,276391,278049,279599,281105,282680,284248,285738,287201,288635,290014,291397,292785,294161,295514,296818,298171,299494,300793,302025,303259,304500,305718,
15070,0,0,0,0,1,10,35,118,277,520,861,1358,2054,2881,3918,5123,6526,8137,9890,11800,13796,15905,18192,20532,23010,25574,28234,30993,33792,36554,39351,42277,45136,48102,51031,53991,56902,59852,62837,65722,68594,71543,74484,77366,80227,83070,85851,88619,91349,94084,96846,99581,102218,104763,107269,109777,112228,114669,117191,119683,122114,124469,126834,129186,131487,133799,135966,138232,140410,142587,144687,146815,148784,150835,152923,154957,156800,158698,160491,162306,164187,165933,167709,169468,171184,172880,174607,176259,177848,179421,181003,182591,184035,185564,187083,188563,189902,191379,192754,194119,195492,196833,198185,199456,200702,202000,203252,204445,205659,206914,208112,209284,210415,211529,212762,213891,215008,216082,217182,
15080,0,0,0,0,0,0,1,3,18,36,77,151,261,408,624,897,1259,1648,2159,2714,3324,4012,4773,5589,6549,7538,8616,9687,10868,12111,13393,14731,16117,17488,18937,20398,21864,23332,24848,26421,28050,29622,31187,32827,34475,36096,37820,39449,41158,42806,44422,46053,47650,49242,50910,52525,54189,55867,57428,59041,60589,62158,63741,65240,66782,68325,69816,71295,72809,74384,75895,77344,78865,80327,81721,83081,84500,85864,87249,88532,89866,91187,92469,93718,94986,96228,97586,98837,100068,101273,102484,103666,104756,105921,107016,108154,109222,110232,111220,112272,113325,114371,115384,116401,117449,118456,119449,120407,121336,122300,123237,124165,125131,126054,126954,127797,128694,129598,130456,
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151544,5086,28140,67157,114784,165126,215258,263359,308868,351175,390339,427280,461271,493002,522638,549868,575820,599698,622427,643659,663656,682646,700400,717156,733153,748260,762585,776313,789470,801734,813613,824838,835666,845783,855523,865011,874203,882841,891325,899435,907227,914655,921840,928829,935548,941879,948151,954099,960032,965624,970997,976232,981485,986328,991152,995907,1000454,1004864,1009070,1013194,1017262,1021263,1025085,1028766,1032362,1035849,1039276,1042637,1045854,1048977,1052018,1054949,1057954,1060763,1063531,1066323,1068932,1071495,1074018,1076555,1078975,1081334,1083634,1085858,1088043,1090168,1092275,1094266,1096397,1098397,1100325,1102263,1104115,1105981,1107818,1109516,1111261,1112907,1114535,1116210,1117758,1119299,1120909,1122411,1123870,1125305,1126712,1128036,1129395,1130739,1132067,1133365,1134570,1135770,1136898,1138109,1139311,1140471,1141622,1142711,
15168,1673,13252,37406,70998,108896,148704,188526,227291,264476,299654,332940,364102,393225,421211,447347,471714,494754,516656,537264,556853,575290,592807,609381,624839,639871,654221,667813,681125,693436,705211,716480,727247,737698,747797,757295,766543,775393,783899,792017,799940,807486,814758,821773,828531,835154,841571,847844,853904,859689,865296,870833,876106,881295,886289,891267,895888,900426,904958,909313,913441,917532,921447,925297,928953,932599,936107,939577,942951,946167,949390,952349,955393,958351,961340,964097,966847,969521,972147,974732,977244,979677,982127,984441,986639,989004,991240,993384,995480,997581,999680,1001629,1003619,1005527,1007422,1009186,1010975,1012776,1014557,1016274,1017894,1019560,1021151,1022706,1024280,1025785,1027295,1028725,1030213,1031616,1032960,1034338,1035623,1036920,1038209,1039456,1040707,1041946,1043116,1044285,
15170,417,5013,17663,37709,63335,92252,122407,153005,183372,212949,241182,268612,294517,319374,343047,365649,387121,407357,426618,445013,462391,478981,494707,510035,524516,538578,551909,564540,576772,588695,599957,610888,620972,630879,640442,649565,658483,667134,675325,683118,691007,698408,705551,712530,719279,725671,732055,738148,744109,749965,755467,760882,766083,771212,776181,781002,785601,790082,794474,798805,802954,806978,810907,814701,818432,822049,825583,829012,832386,835769,839016,842169,845303,848245,851149,854109,856958,859707,862400,864944,867451,869950,872327,874610,876983,879301,881586,883804,885939,888048,890156,892202,894140,896075,897997,899823,901691,903504,905319,907081,908758,910339,912004,913558,915138,916633,918127,919637,921085,922489,923955,925315,926668,927969,929253,930550,931840,933087,934335,
15180,163,2294,9735,23175,41803,63868,87919,113254,138965,164509,189880,214180,237493,259788,281262,302107,322046,341323,359670,376849,393589,409098,424349,438984,453012,466697,479557,491921,503548,514952,526011,536691,546830,556610,565952,574916,583586,592055,600268,608176,615822,623084,630094,636916,643663,650169,656436,662507,668450,674139,679727,685138,690442,695633,700453,705276,709955,714492,718907,723207,727289,731491,735468,739421,743064,746696,750346,753820,757212,760585,763936,767135,770229,773203,776188,779081,781975,784720,787469,790138,792775,795212,797601,800056,802426,804696,806974,809165,811366,813505,815703,817843,819876,821901,823847,825662,827486,829267,831062,832818,834587,836305,838030,839676,841252,842807,844382,845950,847389,848861,850282,851697,853059,854399,855752,857086,858390,859614,860843,
15190,37,936,4728,12813,25050,40778,58862,78550,99016,119929,140932,161586,182028,201955,220977,239431,257689,274948,291626,307594,323074,338067,352459,366208,379318,392152,404488,416362,427718,438799,449344,459545,469383,478802,488054,496864,505452,513683,521932,529537,537169,544404,551433,558180,564720,571151,577372,583379,589251,594990,600384,605724,610937,616028,621001,625786,630507,634999,639306,643591,647786,651851,655719,659585,663545,667284,670759,674320,677784,681173,684423,687635,690786,693864,696892,699779,702706,705532,708300,710987,713635,716084,718642,721080,723531,725875,728172,730468,732737,734917,737058,739171,741294,743316,745254,747257,749125,750982,752875,754724,756480,758160,759904,761621,763299,764766,766303,767915,769402,770876,772303,773784,775171,776517,777815,779128,780481,781796,783052,
15200,6,290,1983,6089,13194,23332,35737,49906,65205,81445,98133,115007,131763,148531,165097,181201,196849,212002,226818,241409,255457,268768,281500,294192,306261,317914,329337,340276,350880,361084,371164,380867,390206,399114,407888,416349,424439,432178,439922,447378,454630,461637,468535,474981,481438,487682,493750,499653,505294,510755,516093,521323,526402,531401,536198,540927,545494,550073,554532,558883,563009,567131,571129,574979,578652,582293,585891,589510,592976,596375,599637,602778,605964,609103,612181,615090,617955,620728,623478,626201,628805,631430,633945,636431,638892,641229,643550,645894,648038,650245,652398,654531,656590,658580,660592,662549,664405,666259,668112,669873,671605,673428,675118,676860,678494,680112,681793,683303,684779,686296,687765,689149,690510,691927,693298,694636,695976,697242,698548,
15210,2,57,582,2328,5737,11137,18661,27741,38072,49500,61678,74302,87153,100031,113136,126193,138844,151479,164123,176421,188437,200291,211672,222693,233320,243792,254104,263904,273392,282760,291837,300667,309350,317611,325766,333622,341192,348582,355649,362525,369245,375685,382146,388346,394463,400229,405958,411561,417037,422447,427657,432651,437668,442481,447193,451744,456261,460663,464848,469063,473147,477116,481083,484818,488507,492074,495456,498877,502241,505608,508800,511864,515052,518140,521096,523872,526627,529370,532096,534718,537307,539937,542423,544939,547368,549636,551903,554155,556351,558462,560651,562734,564843,566820,568786,570748,572631,574520,576291,578108,579937,581720,583470,585104,586725,588316,589843,591400,593026,594576,596072,597514,598944,600355,601734,603169,604548,605827,607133,
15220,1,9,133,647,1897,4297,7968,12867,18708,25785,33580,41921,50741,60172,69512,78940,88710,98338,108031,117753,127529,136960,146124,155381,164419,173376,181893,190284,198594,206713,214656,222316,229943,237176,244232,251194,257948,264592,270834,277197,283433,289473,295321,301140,306687,312076,317325,322410,327517,332541,337408,342220,346791,351361,355782,360100,364209,368429,372389,376291,379999,383767,387513,390989,394471,397901,401388,404683,407856,410932,413902,416929,419881,422834,425647,428530,431305,433980,436522,439177,441746,444211,446644,449054,451411,453663,455959,458062,460239,462382,464402,466464,468393,470385,472341,474207,476033,477854,479654,481469,483272,485036,486679,488437,490043,491574,493192,494649,496134,497630,499158,500677,502141,503565,504950,506258,507559,508831,510090,
15230,0,0,12,136,576,1488,3016,5412,8558,12376,16980,22083,27690,33747,40183,46758,53685,60915,67998,75303,82547,89883,97255,104519,111761,118939,126061,132947,139788,146653,153256,159645,165913,172266,178417,184372,190222,195893,201584,207003,212446,217827,223029,228144,233221,238078,242783,247376,251814,256309,260674,264920,269265,273339,277395,281294,285152,288954,292675,296267,299803,303234,306662,309975,313208,316430,319606,322572,325509,328484,331431,334218,337069,339823,342498,345140,347762,350251,352672,355079,357494,359963,362206,364508,366737,368904,371075,373209,375292,377354,379387,381306,383297,385276,387042,388928,390695,392511,394243,395906,397627,399301,400864,402421,404081,405656,407187,408646,410077,411511,412978,414423,415773,417098,418456,419769,421023,422262,423579,
15240,0,0,1,23,105,349,815,1699,2917,4568,6761,9282,12236,15621,19347,23258,27560,32079,36626,41439,46555,51745,56826,62041,67372,72577,77924,83063,88181,93282,98366,103591,108513,113402,118325,123126,127953,132579,137169,141731,146281,150708,155118,159439,163668,167852,171917,175818,179778,183515,187180,190867,194534,198209,201642,205063,208433,211640,214885,218045,221074,224151,227136,230149,233084,236064,238875,241603,244295,246965,249609,252132,254605,257045,259433,261839,264243,266562,268844,271102,273301,275469,277684,279760,281847,283826,285840,287812,289731,291606,293466,295310,297085,298845,300559,302316,303974,305666,307257,308865,310452,311947,313378,314844,316342,317838,319299,320673,322067,323438,324814,326148,327489,328822,330098,331329,332531,333691,334898,
15250,0,0,0,0,12,42,125,299,596,1087,1753,2669,3738,5045,6608,8374,10412,12641,15048,17594,20357,23205,26064,29113,32240,35450,38783,42051,45430,48839,52196,55641,59042,62363,65802,69249,72593,76039,79420,82793,86141,89206,92505,95770,99003,102167,105247,108228,111227,114239,117184,120093,122912,125726,128477,131275,133995,136712,139312,141940,144535,147082,149513,151917,154328,156721,159052,161424,163648,165874,168079,170271,172399,174555,176607,178568,180555,182548,184479,186405,188278,190158,191986,193804,195653,197370,199060,200814,202506,204091,205762,207352,208917,210396,211930,213365,214782,216257,217693,219075,220415,221801,223135,224450,225734,226979,228256,229462,230740,231966,233184,234374,235580,236759,237883,239047,240145,241257,242353,
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15410,0,3,60,348,1153,2725,5254,8814,13231,18432,24383,31071,38035,45586,53284,61135,69177,77502,85769,94016,102311,110382,118438,126390,134227,141943,149465,156965,164198,171421,178376,185145,191830,198365,204859,211210,217240,223274,229107,234809,240492,245917,251210,256409,261532,266365,271142,275841,280532,285074,289499,293711,297937,301992,305900,309824,313692,317543,321342,325002,328585,332024,335412,338773,342126,345262,348294,351355,354347,357272,360123,362903,365688,368361,371069,373722,376267,378756,381213,383546,385978,388375,390676,392944,395125,397345,399402,401404,403454,405424,407381,409365,411321,413124,415031,416865,418564,420286,421975,423627,425291,426938,428492,430024,431493,432985,434466,435967,437453,438825,440225,441561,442864,444189,445476,446806,448032,449291,450502,
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16750,63,1510,7988,21886,43281,70401,100874,133289,166939,200948,234311,267007,298550,328796,357662,385476,411558,436397,459997,482421,503589,523638,542800,560799,577970,594288,609544,624079,638009,651415,664056,676370,687679,698556,709033,718898,728359,737501,746197,754477,762458,769880,777300,784349,791096,797349,803629,809613,815209,820602,825953,830824,835752,840405,844862,849159,853267,857179,860999,864691,868227,871625,875002,878270,881378,884396,887272,890164,892835,895477,898058,900537,902904,905189,907402,909647,911746,913759,915737,917590,919484,921372,923166,924871,926553,928168,929719,931186,932636,934169,935538,936937,938152,939361,940653,941887,943087,944145,945257,946392,947377,948386,949398,950339,951288,952160,953070,953920,954726,955549,956359,957142,957925,958709,959433,960151,960816,961491,962141,
16760,8,449,3128,10063,22239,38947,59141,82466,107640,133949,160051,186169,212041,237336,261769,285146,308098,330018,350744,370719,389796,408006,425792,442401,458309,473481,487892,501674,514671,527173,539069,550571,561531,572156,582247,591782,600973,609740,618176,626257,634063,641495,648650,655413,661862,668194,674318,680174,685975,691388,696567,701550,706388,711080,715556,719910,723975,727989,731847,735531,739025,742678,745941,749129,752298,755220,758206,761048,763798,766442,769104,771645,774026,776348,778652,780846,782988,785031,787081,789059,790918,792761,794496,796324,798011,799661,801249,802738,804203,805701,807088,808446,809824,811172,812464,813639,814861,816034,817150,818300,819375,820372,821391,822414,823316,824271,825165,826053,826893,827707,828530,829394,830192,830997,831746,832447,833142,833834,834486,
16770,3,115,1001,3940,9815,19008,31323,46334,63306,81540,100762,120713,140560,160327,180027,199174,218046,236250,254200,271430,288040,304016,319151,333993,348126,361480,374479,386840,398858,410257,421319,431911,442203,451985,461454,470270,478725,486938,494766,502405,509733,516865,523571,530233,536543,542551,548304,553826,559254,564493,569382,574236,578905,583439,587877,592152,596313,600283,604058,607637,611220,614797,618077,621251,624377,627379,630308,633125,635889,638595,641238,643712,646109,648498,650823,653083,655235,657276,659289,661216,663112,664865,666608,668315,669936,671592,673159,674748,676225,677717,679110,680508,681854,683203,684533,685817,687054,688220,689361,690467,691583,692667,693702,694705,695669,696610,697549,698409,699314,700190,701032,701845,702650,703437,704202,704998,705692,706445,707092,
16780,0,17,251,1291,3853,8363,15002,23605,34033,45921,59022,72850,87097,101519,116304,130947,145554,160030,174282,188375,201770,215063,227819,240323,252481,264221,275599,286614,297233,307398,317152,326606,335685,344527,352978,360971,368782,376294,383644,390586,397343,403736,410113,416192,421943,427536,432932,438128,443185,448182,452921,457503,461837,466169,470376,474253,478064,481890,485553,489105,492501,495776,498971,502096,505134,507953,510859,513549,516190,518727,521314,523717,526053,528292,530525,532660,534664,536768,538747,540665,542577,544335,546083,547793,549416,551066,552619,554168,555619,557017,558371,559712,561065,562387,563632,564873,566009,567147,568223,569326,570373,571390,572435,573447,574488,575411,576322,577265,578090,578947,579810,580659,581461,582243,582996,583690,584405,585114,585839,
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16810,0,0,6,42,189,612,1519,2975,5071,7935,11519,15768,20576,25859,31436,37485,43812,50537,57364,64155,70961,77957,84871,91794,98728,105566,112236,118874,125324,131681,137903,143895,149928,155666,161285,166897,172254,177551,182692,187604,192454,197240,201781,206280,210652,214873,218850,222864,226844,230505,234230,237714,241203,244681,247923,251094,254170,257108,260053,262917,265649,268393,271023,273624,276034,278498,280829,283125,285348,287451,289541,291557,293526,295425,297251,299211,301029,302787,304495,306081,307659,309242,310801,312347,313747,315122,316401,317719,319056,320334,321669,322906,324074,325245,326311,327472,328513,329636,330649,331617,332632,333598,334523,335457,336354,337191,338046,338852,339636,340402,341173,341952,342639,343332,344039,344653,345324,345965,346612,
16820,0,0,1,12,70,256,659,1377,2557,4230,6397,8992,12009,15548,19538,23831,28429,33227,38274,43470,48698,54068,59540,65119,70622,76167,81611,87031,92328,97599,102872,107897,112845,117772,122572,127285,131841,136374,140900,145181,149418,153541,157470,161530,165255,168960,172611,176039,179441,182774,186011,189179,192173,195157,198157,201125,203986,206642,209323,211738,214198,216718,219101,221405,223625,225782,227972,230110,232151,234133,236036,237967,239826,241607,243386,245038,246735,248342,249939,251529,253103,254536,255961,257298,258573,259932,261287,262584,263814,265027,266187,267341,268466,269559,270603,271595,272649,273605,274501,275447,276371,277291,278146,278970,279813,280638,281429,282216,282981,283713,284437,285170,285829,286529,287162,287815,288386,289048,289707,
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169268,8865,45810,104945,173000,242370,308698,370818,428146,480478,528221,571765,611576,647811,681089,711589,739314,765223,789324,811565,831810,851093,869004,885559,901300,915847,929379,942254,954399,965957,976768,987033,996333,1005415,1014039,1022327,1030058,1037401,1044329,1051056,1057401,1063330,1069008,1074561,1079809,1084758,1089520,1094045,1098336,1102583,1106682,1110758,1114521,1118161,1121685,1125036,1128240,1131311,1134283,1137097,1139815,1142533,1145134,1147669,1150003,1152345,1154491,1156655,1158705,1160682,1162584,1164434,1166170,1167981,1169605,1171295,1172853,1174438,1175983,1177339,1178711,1180104,1181364,1182675,1183876,1185101,1186274,1187394,1188541,1189667,1190664,1191652,1192653,1193639,1194556,1195474,1196346,1197180,1198012,1198836,1199651,1200433,1201169,1201852,1202552,1203193,1203813,1204462,1205089,1205786,1206371,1207004,1207576,1208130,1208653,1209180,1209703,1210198,1210724,1211197,
16931,1685,14121,41937,80872,125830,172923,219390,264315,307258,346983,384395,419512,452069,482502,510843,537014,561631,584375,605904,625916,644488,662140,678481,693806,708498,722099,734987,747166,758922,769997,780463,790399,799722,808741,817118,825320,833095,840229,847284,853754,860134,866206,872023,877641,883043,888168,892987,897774,902333,906612,910875,914817,918647,922320,925917,929352,932626,935767,938835,941766,944624,947269,949939,952454,954947,957290,959583,961763,963969,966044,968080,970033,971886,973755,975576,977332,978964,980566,982200,983706,985216,986628,988018,989322,990577,991842,993093,994331,995494,996587,997709,998737,999814,1000865,1001874,1002821,1003754,1004638,1005535,1006390,1007297,1008067,1008873,1009699,1010474,1011237,1011974,1012622,1013298,1013930,1014579,1015199,1015802,1016379,1016930,1017487,1018005,1018500,1019038,
16940,546,6509,23082,49349,82266,118609,156391,193749,230153,265076,298789,329976,359669,387625,414250,438734,461776,483569,503759,522745,540932,557943,573810,588785,602965,616469,629116,641208,652786,663556,673749,683578,692852,701565,710035,718047,725580,732792,739683,746293,752662,758745,764627,770204,775597,780580,785542,790135,794691,799100,803411,807486,811401,815164,818863,822334,825662,828961,832038,835077,837963,840729,843440,846103,848694,851094,853537,855821,858032,860234,862354,864356,866287,868171,869968,871687,873357,875081,876669,878246,879657,881136,882553,883915,885300,886575,887808,889078,890312,891504,892670,893780,894856,895922,896964,897930,898946,899849,900787,901646,902512,903390,904220,905035,905815,906592,907335,908040,908732,909444,910104,910760,911380,912027,912596,913176,913739,914318,914891,
16950,161,2575,11199,26732,48609,74854,103018,132707,162318,191643,219898,246881,272779,297315,320835,343146,364206,384030,402640,420452,437353,453280,468362,482825,496444,509201,521558,533130,544047,554561,564505,573987,583090,591778,599987,607800,615503,622788,629831,636399,642833,648937,654758,660419,665762,670979,675982,680775,685328,689842,694081,698044,701973,705785,709454,712904,716271,719518,722641,725609,728479,731311,734093,736755,739337,741820,744259,746599,748813,751003,753088,755121,757049,758971,760830,762635,764420,766107,767695,769253,770800,772295,773795,775236,776576,777919,779229,780484,781715,782932,784071,785164,786290,787388,788458,789465,790433,791395,792355,793235,794128,795017,795903,796703,797508,798268,799047,799777,800481,801171,801931,802605,803311,803956,804563,805137,805727,806303,806890,
16960,29,823,4727,12932,25948,42932,62560,83789,106256,128889,151153,173368,194699,215709,235688,254835,273359,290866,307904,323962,339260,353698,367682,380825,393180,405057,416471,427320,437767,447688,457184,466419,475153,483593,491376,498917,506113,513003,519564,525837,532007,537860,543467,548915,554278,559387,564319,569008,573459,577717,581918,585855,589765,593485,597101,600629,603958,607189,610394,613452,616343,619181,621900,624437,627019,629547,631942,634282,636432,638771,640911,642966,644980,646900,648736,650505,652250,653941,655615,657244,658840,660312,661828,663329,664693,666048,667392,668712,669840,671032,672217,673364,674467,675543,676628,677617,678630,679585,680553,681453,682360,683278,684144,685054,685876,686698,687473,688187,688926,689678,690359,691073,691711,692318,692943,693548,694160,694764,695339,
16970,3,204,1551,5258,11921,21407,33625,47520,62597,78900,95630,112576,129120,145697,161988,177752,192931,207748,221866,235786,249115,261850,273892,285634,296856,307636,317786,327698,337130,346095,354774,363219,371278,378993,386388,393479,400295,406747,413038,419143,424812,430314,435536,440719,445727,450540,455214,459616,463962,468079,472061,475931,479683,483320,486747,490165,493334,496480,499593,502495,505426,508234,510830,513453,515986,518468,520845,523217,525369,527491,529603,531638,533588,535493,537357,539186,540874,542623,544334,545936,547485,548964,550472,551893,553312,554640,556006,557254,558524,559744,560963,562106,563194,564249,565297,566335,567349,568282,569231,570201,571137,572055,572910,573784,574692,575481,576246,577056,577788,578505,579205,579894,580556,581204,581842,582453,583068,583633,584221,
16980,1,71,707,2721,6628,12859,21074,31366,42886,55420,68735,82350,95973,109646,123393,136742,149830,162665,175152,187158,199104,210492,221601,232137,242233,252055,261682,270787,279495,288125,296209,303908,311324,318428,325509,332029,338430,344638,350514,356213,361761,367034,372140,377114,381883,386438,390924,395242,399377,403374,407347,411148,414765,418226,421527,424796,427871,430826,433787,436671,439408,442074,444670,447141,449570,451925,454212,456479,458607,460754,462846,464828,466778,468602,470438,472240,473976,475720,477265,478847,480404,481918,483335,484755,486158,487467,488756,489989,491220,492403,493505,494631,495802,496885,497925,498949,499988,500945,501813,502721,503616,504460,505321,506127,506950,507723,508499,509333,510069,510813,511466,512133,512761,513392,514005,514663,515260,515841,516433,
16990,0,13,234,1204,3509,7218,12568,19458,27553,36833,46742,57115,67914,79022,90206,101305,112406,123430,134268,144904,155076,165007,174653,184143,193145,201783,210366,218403,226462,234027,241612,248746,255652,262256,268729,274786,280697,286433,291855,297073,302303,307219,312000,316715,321202,325536,329725,333753,337711,341448,345076,348692,352078,355361,358516,361591,364608,367535,370335,373056,375681,378292,380840,383264,385586,387871,390055,392198,394276,396270,398272,400226,402158,403935,405743,407393,409087,410722,412295,413831,415282,416721,418059,419429,420802,422138,423425,424597,425770,426971,428111,429244,430345,431388,432353,433291,434292,435316,436216,437076,437923,438790,439663,440503,441320,442045,442819,443576,444273,445021,445709,446404,447072,447766,448335,448988,449605,450189,450770,
17000,0,4,73,443,1521,3601,6814,11081,16553,22824,30056,37806,45962,54420,63174,72020,80946,89679,98405,107143,115734,124047,132233,140235,148078,155769,163094,170280,177192,183964,190280,196700,202948,208938,214715,220214,225535,230765,235721,240588,245350,249927,254399,258801,262786,266764,270639,274441,278001,281514,284987,288241,291448,294503,297507,300382,303295,306006,308667,311210,313753,316200,318645,320943,323155,325312,327417,329479,331478,333481,335367,337124,338827,340566,342289,343982,345624,347222,348717,350152,351573,352987,354292,355655,356922,358172,359389,360570,361770,362934,364117,365162,366195,367206,368182,369136,370074,371013,371886,372753,373583,374418,375211,375990,376743,377472,378206,378936,379626,380327,381043,381693,382277,382885,383497,384075,384633,385169,385782,
17010,0,0,19,135,576,1498,3133,5605,8712,12649,17394,22623,28176,34155,40600,47175,53854,60643,67641,74533,81375,88071,94694,101300,107872,114196,120430,126435,132443,138390,144079,149432,154667,159950,165115,169915,174781,179239,183686,187937,192113,196217,200273,204077,207838,211452,215011,218444,221764,224931,227923,230890,233814,236540,239331,242058,244681,247280,249706,252152,254475,256755,258987,261125,263237,265353,267317,269137,270938,272676,274482,276172,277853,279379,280948,282403,283927,285384,286824,288252,289583,290934,292204,293476,294776,295956,297202,298333,299428,300511,301604,302582,303619,304580,305454,306337,307213,308102,308990,309848,310605,311350,312126,312877,313635,314413,315164,315819,316531,317169,317811,318402,318991,319597,320227,320851,321403,321911,322431,
17020,0,0,4,37,167,538,1245,2406,4076,6307,8912,12099,15598,19509,23648,28149,32967,37828,42811,47763,52883,58032,63119,68126,73178,78133,83135,88010,92733,97372,102042,106573,111027,115240,119445,123505,127510,131524,135374,139087,142740,146187,149551,152866,156073,159264,162325,165285,168164,170969,173702,176344,179009,181597,184150,186589,188904,191151,193355,195466,197585,199635,201679,203680,205571,207449,209249,210950,212621,214336,216028,217543,219087,220537,221989,223404,224819,226106,227468,228749,230034,231294,232414,233501,234664,235777,236903,237922,238934,239979,240916,241833,242716,243624,244522,245369,246246,247054,247858,248675,249433,250191,250920,251617,252294,252976,253627,254270,254925,255581,256186,256744,257329,257891,258477,259008,259546,260003,260461,
17030,0,0,1,12,65,185,499,1005,1825,3013,4536,6351,8497,10925,13637,16631,19881,23258,26834,30390,34101,37804,41613,45532,49425,53288,57172,61071,64991,68750,72360,75914,79538,83078,86465,89842,93198,96425,99529,102821,105865,108800,111605,114451,117176,119974,122601,125098,127618,130017,132429,134764,137000,139258,141432,143548,145581,147679,149689,151572,153419,155181,156954,158719,160446,162093,163688,165239,166730,168216,169642,171111,172445,173805,175128,176405,177660,178877,180060,181204,182349,183469,184554,185615,186637,187654,188594,189583,190516,191455,192401,193295,194164,194963,195830,196604,197374,198111,198858,199613,200314,201000,201708,202353,203024,203649,204262,204859,205497,206056,206623,207156,207714,208222,208766,209245,209746,210238,210747,
17040,0,0,0,3,9,45,144,334,658,1159,1842,2728,3809,5141,6646,8427,10353,12492,14726,17099,19567,22099,24709,27361,30109,32918,35670,38370,41127,43959,46656,49419,52202,54868,57611,60246,62817,65377,68009,70546,72926,75290,77638,79965,82360,84505,86724,88869,90966,92976,94975,96902,98838,100660,102525,104204,105989,107634,109321,110922,112513,114071,115604,117076,118488,119923,121318,122626,123928,125213,126443,127756,128989,130165,131274,132381,133387,134442,135472,136515,137557,138542,139454,140443,141322,142250,143121,144004,144871,145624,146443,147221,148001,148756,149469,150210,150909,151532,152220,152902,153529,154154,154799,155391,155975,156559,157166,157719,158262,158790,159295,159809,160287,160784,161262,161758,162191,162640,163112,
17050,0,0,0,0,2,4,24,64,148,293,561,903,1343,1915,2622,3402,4334,5396,6557,7818,9234,10712,12144,13721,15334,17090,18804,20599,22421,24206,26088,28013,29896,31732,33566,35473,37326,39164,40927,42663,44354,46126,47832,49602,51340,52990,54626,56177,57766,59322,60873,62340,63818,65288,66681,68083,69391,70726,72064,73407,74625,75896,77128,78326,79493,80629,81692,82804,83955,85050,86112,87154,88155,89105,90032,90969,91892,92799,93665,94478,95374,96202,97017,97790,98561,99296,100052,100763,101496,102178,102894,103584,104233,104882,105514,106128,106723,107285,107854,108393,108926,109455,109988,110481,111001,111479,111973,112442,112875,113359,113772,114189,114673,115128,115567,115986,116400,116787,117155,
17060,0,0,0,0,0,0,3,4,13,36,80,150,249,406,594,857,1189,1569,1965,2464,3022,3647,4322,4998,5762,6525,7379,8273,9151,10113,11075,12061,13091,14084,15102,16110,17166,18245,19286,20410,21498,22584,23655,24675,25733,26826,27867,28881,29888,30932,31924,32940,33939,34927,35914,36823,37757,38650,39555,40436,41304,42165,43042,43966,44803,45587,46349,47153,47858,48621,49362,50098,50837,51545,52242,52861,53511,54189,54856,55502,56159,56777,57373,57960,58552,59098,59664,60241,60779,61309,61833,62327,62833,63325,63821,64252,64733,65210,65684,66133,66530,66944,67339,67778,68196,68575,68933,69291,69679,70030,70397,70723,71070,71374,71703,72012,72353,72659,72974,
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17891,1044,8371,23884,45551,70633,97180,123764,149711,174817,198289,220663,241510,261085,279557,296754,312988,328340,342449,355830,368465,380547,392068,402638,412768,422310,431368,440071,448215,455874,463205,470220,476922,483340,489479,495353,500987,506423,511480,516382,521121,525724,530099,534329,538270,542073,545684,549162,552567,555805,558902,561886,564770,567594,570348,572988,575426,577941,580342,582617,584772,586950,589044,591015,592953,594778,596618,598348,600055,601702,603272,604907,606426,607836,609253,610637,612004,613325,614623,615880,617103,618253,619382,620446,621549,622610,623621,624622,625566,626452,627350,628182,629014,629852,630708,631516,632288,633047,633787,634484,635178,635853,636460,637116,637776,638402,638998,639597,640131,640707,641237,641752,642265,642772,643250,643737,644190,644675,645149,645590,
17900,379,4296,14230,29190,48036,68931,90252,111857,133156,153988,173801,192360,210076,226848,242767,257796,271924,285243,298009,310150,321550,332172,342253,351851,360969,369570,377813,385504,392952,400296,407181,413655,419860,425891,431557,436889,442035,447039,451777,456366,460816,465088,469128,472997,476717,480358,483863,487148,490333,493377,496380,499219,502060,504701,507272,509763,512246,514596,516881,519077,521275,523401,525442,527357,529241,531043,532798,534557,536181,537803,539397,540896,542416,543864,545246,546642,547919,549258,550553,551760,552906,554010,555124,556202,557294,558302,559257,560231,561186,562039,562936,563812,564650,565473,566294,567114,567876,568639,569333,569978,570633,571255,571929,572580,573219,573852,574480,575052,575607,576141,576649,577136,577656,578211,578721,579193,579649,580117,580589,
17910,150,1869,7178,16663,29579,44581,60918,78055,95222,112503,128943,145061,160413,175181,189202,202731,215342,227295,239045,250055,260478,270402,279818,288820,297291,305556,313242,320779,327798,334652,341045,347169,353214,358957,364504,369690,374626,379294,384049,388576,392849,397027,401025,404882,408465,411934,415323,418550,421702,424716,427625,430477,433211,435869,438409,440805,443250,445586,447739,449951,452029,454122,456071,457978,459822,461535,463278,464909,466556,468183,469733,471197,472608,474038,475481,476866,478145,479363,480614,481791,482937,484111,485296,486349,487385,488374,489410,490374,491296,492157,493042,493930,494774,495574,496380,497157,497918,498645,499352,500016,500694,501354,502039,502696,503313,503912,504510,505107,505684,506203,506740,507256,507758,508249,508733,509219,509728,510167,510623,
17920,28,600,2883,7926,15364,24987,36289,48667,61528,74570,87753,100493,113106,125419,137184,148567,159536,170142,180368,189949,199395,208345,216873,225060,232861,240425,247578,254582,261128,267338,273361,279260,284805,290074,295159,300168,304878,309431,313608,317735,321718,325586,329392,333007,336477,339734,343039,346083,349113,352065,354994,357708,360333,362874,365226,367693,369935,372190,374383,376564,378588,380540,382468,384360,386211,388025,389704,391396,393040,394614,396106,397564,398965,400364,401702,402966,404274,405526,406720,407860,408972,410086,411206,412228,413283,414264,415228,416205,417172,418081,418979,419865,420728,421523,422282,423005,423786,424524,425239,425914,426568,427226,427826,428446,429095,429710,430288,430829,431412,431937,432484,432987,433475,433953,434414,434877,435321,435761,436205,
17930,3,197,1156,3617,7856,13641,21137,29342,38472,48234,58216,68299,78452,88211,97933,107346,116370,125291,133939,142418,150424,158266,165784,173123,179989,186636,192966,199225,205254,211048,216647,221938,227057,231877,236595,241153,245416,249538,253575,257469,261231,264895,268415,271724,275067,278236,281396,284335,287181,289898,292496,295068,297536,299980,302311,304573,306793,308871,310966,312954,314936,316826,318642,320442,322193,323892,325518,327159,328626,330119,331641,333075,334371,335689,336947,338202,339482,340671,341840,343081,344169,345263,346289,347270,348283,349284,350258,351175,352089,352998,353909,354729,355471,356257,357015,357735,358445,359169,359918,360589,361246,361888,362525,363107,363681,364257,364849,365391,365977,366522,367029,367549,368052,368555,369030,369477,369889,370331,370751,
17940,1,33,304,1182,3019,5887,9929,15026,20696,27059,33677,40771,47877,55123,62472,69686,76798,83805,90641,97423,103962,110385,116473,122418,128210,133927,139354,144536,149702,154778,159436,163964,168423,172823,177065,180978,184910,188687,192290,195609,199073,202368,205503,208560,211602,214443,217250,220004,222633,225249,227681,230005,232352,234591,236810,238835,240903,242941,244905,246718,248548,250243,251967,253664,255242,256814,258278,259744,261143,262575,264009,265431,266704,267963,269226,270423,271605,272708,273799,274833,275895,276931,277890,278815,279742,280698,281598,282446,283287,284116,284972,285750,286511,287275,287965,288676,289340,290002,290655,291327,291933,292537,293178,293787,294339,294899,295430,295970,296476,297037,297556,298052,298502,298966,299418,299862,300304,300721,301135,
17950,0,1,51,252,828,1887,3515,5669,8500,11824,15539,19756,24061,28599,33232,37867,42668,47522,52379,57301,62000,66646,71295,75858,80359,84670,88937,92944,96963,100955,104928,108661,112263,115700,119063,122296,125495,128730,131754,134672,137559,140161,142904,145594,148223,150553,152904,155291,157590,159780,161866,164002,166064,167973,169879,171775,173553,175288,176968,178614,180222,181813,183358,184836,186339,187727,189084,190501,191773,193003,194240,195506,196643,197802,198925,200011,201101,202130,203087,204065,205057,205950,206836,207751,208568,209418,210250,211023,211782,212534,213310,214065,214786,215500,216229,216908,217543,218182,218825,219413,220034,220591,221126,221681,222228,222750,223247,223721,224219,224734,225201,225664,226110,226559,226955,227358,227797,228157,228510,
17960,0,0,1,15,83,275,635,1216,2085,3225,4543,6200,8069,10065,12357,14773,17240,19883,22430,25188,27928,30568,33365,36257,39085,41864,44601,47347,49987,52692,55264,57821,60325,62825,65275,67635,69980,72226,74494,76758,78813,80918,82927,84974,86893,88682,90472,92256,93991,95686,97335,99017,100570,102090,103612,105016,106434,107851,109161,110493,111751,112994,114314,115549,116740,117879,119037,120135,121182,122257,123361,124333,125310,126265,127215,128138,129075,129946,130817,131637,132504,133277,134083,134868,135591,136273,136978,137715,138377,139003,139652,140257,140861,141474,142046,142640,143224,143762,144275,144795,145285,145809,146290,146766,147238,147735,148222,148709,149147,149550,149944,150344,150688,151059,151419,151791,152146,152508,152848,
17977311,113651,287801,457561,605532,731831,838447,929092,1006196,1072347,1129774,1179573,1223235,1261975,1296541,1327349,1354859,1379341,1401650,1422107,1440769,1457825,1473077,1487433,1500570,1512566,1523728,1534056,1543669,1552556,1560762,1568532,1575768,1582574,1589077,1595037,1600629,1606004,1611067,1615732,1620079,1624266,1628223,1631957,1635513,1638811,1641940,1645008,1647966,1650693,1653349,1655775,1658177,1660434,1662543,1664573,1666531,1668442,1670244,1671904,1673552,1675145,1676632,1678008,1679357,1680697,1681994,1683202,1684301,1685366,1686380,1687394,1688351,1689334,1690283,1691124,1691965,1692824,1693600,1694364,1695106,1695831,1696496,1697167,1697777,1698365,1698937,1699522,1700080,1700609,1701124,1701638,1702152,1702618,1703074,1703529,1703984,1704427,1704777,1705194,1705579,1705957,1706294,1706637,1706970,1707284,1707579,1707888,1708171,1708412,1708670,1708941,1709203,1709467,1709699,1709951,1710190,1710400,1710627,1710831,
1798311,21351,90973,187570,289509,387489,476890,557358,630141,694422,751896,803308,849329,890269,927248,960893,991459,1019188,1044855,1068073,1089492,1108822,1126888,1143537,1159031,1173404,1186868,1199222,1210594,1221458,1231650,1241054,1249881,1258058,1265915,1273068,1280101,1286522,1292522,1298314,1303783,1308981,1313778,1318312,1322775,1327063,1331045,1334779,1338432,1341892,1345239,1348381,1351408,1354211,1356768,1359329,1361751,1364178,1366412,1368520,1370632,1372590,1374506,1376231,1377975,1379630,1381235,1382830,1384300,1385670,1387111,1388447,1389734,1390979,1392145,1393267,1394393,1395458,1396442,1397455,1398432,1399316,1400194,1401036,1401826,1402621,1403398,1404163,1404879,1405550,1406195,1406828,1407450,1408086,1408713,1409278,1409856,1410377,1410924,1411398,1411870,1412317,1412749,1413215,1413616,1414010,1414372,1414770,1415119,1415465,1415791,1416146,1416483,1416800,1417106,1417396,1417706,1417983,1418252,1418525,
179923,6021,37156,93413,162348,235098,306525,373900,436450,493504,545777,593609,637266,677025,713473,746522,776851,804441,830086,853814,875464,895416,914089,931240,947387,962224,976077,989103,1001296,1012811,1023338,1033208,1042521,1051348,1059552,1067558,1074935,1081943,1088671,1094843,1100642,1106124,1111478,1116537,1121315,1125935,1130262,1134488,1138340,1142118,1145691,1149053,1152358,1155496,1158494,1161427,1164183,1166809,1169275,1171738,1174039,1176257,1178434,1180382,1182330,1184206,1185982,1187687,1189415,1190995,1192521,1194001,1195386,1196760,1198071,1199322,1200516,1201682,1202845,1203912,1204994,1206004,1206918,1207845,1208780,1209660,1210480,1211345,1212162,1212887,1213646,1214370,1215088,1215743,1216380,1217018,1217631,1218198,1218757,1219303,1219849,1220357,1220880,1221373,1221868,1222331,1222822,1223254,1223716,1224128,1224495,1224900,1225293,1225637,1225987,1226336,1226629,1226958,1227286,1227590,
18000,1041,11002,35897,73745,119332,168092,217213,265306,311399,354804,395398,433402,468250,501206,531643,560016,585986,609822,632338,653023,672480,690477,707510,723483,738491,752417,765432,777696,789244,799981,810245,819977,829108,837638,845802,853566,860775,867606,873988,880190,886074,891715,896943,901987,906769,911336,915596,919797,923793,927710,931335,934838,938217,941420,944573,947557,950364,953046,955571,958038,960376,962687,964844,966987,968916,970802,972682,974447,976171,977911,979496,981000,982497,983942,985332,986628,987899,989077,990279,991436,992516,993593,994570,995607,996534,997477,998391,999247,1000125,1000975,1001756,1002541,1003291,1004006,1004649,1005299,1005927,1006548,1007136,1007764,1008360,1008924,1009423,1009922,1010400,1010876,1011343,1011842,1012295,1012770,1013193,1013622,1014023,1014448,1014808,1015165,1015503,1015870,1016196,
18010,108,2042,9852,25434,48108,75040,105079,136436,167960,199596,230205,259304,287082,313683,338795,362516,384970,405859,425717,444433,461781,478031,493651,508457,522346,535296,547668,559376,570173,580424,590252,599554,608147,616506,624293,631847,639031,645861,652371,658469,664216,669798,674953,680135,684979,689550,693918,698175,702191,706081,709776,713202,716559,719785,722963,726008,728857,731575,734183,736768,739174,741680,743940,746026,748163,750186,752189,754067,755871,757624,759290,760843,762376,763869,765363,766820,768159,769480,770727,771901,773052,774183,775212,776300,777346,778339,779289,780202,781059,781959,782819,783622,784366,785131,785854,786564,787276,787939,788630,789279,789880,790474,791046,791624,792201,792740,793308,793811,794300,794785,795247,795699,796143,796568,796976,797346,797736,798121,798498,
18020,20,778,4480,13140,27123,45499,67103,90446,115317,140440,165182,189428,213031,235629,257383,277917,297773,316240,334064,350634,366573,381837,396049,409512,422402,434479,446029,456888,467242,477137,486460,495218,503579,511708,519261,526485,533431,539910,546244,552104,557890,563294,568478,573391,578122,582643,587058,591143,595219,599120,602680,606199,609647,612916,615992,618910,621846,624541,627177,629669,632120,634447,636667,638798,640882,642936,644888,646790,648645,650321,651985,653502,655030,656558,658012,659428,660726,662079,663321,664564,665764,666882,668014,669082,670114,671132,672092,673030,673916,674804,675665,676449,677266,678044,678796,679538,680232,680888,681516,682156,682782,683344,683911,684459,684986,685537,686046,686586,687093,687568,688015,688479,688934,689372,689796,690201,690577,690950,691338,
18030,0,226,1775,6220,14163,25601,39870,56241,74301,93146,112316,131487,150215,168739,186693,203936,220865,237161,252777,267472,281692,294960,307941,320165,331799,342896,353550,363629,373164,382267,390951,399304,407198,414734,421884,428765,435357,441534,447566,453167,458623,463696,468709,473461,477892,482300,486515,490323,494012,497725,501259,504721,508023,511224,514122,516828,519514,522194,524730,527175,529475,531806,533967,536109,538156,540162,542082,543913,545739,547452,549129,550681,552161,553656,555171,556547,557847,559088,560323,561551,562727,563813,564888,565938,566999,568023,568962,569918,570822,571719,572565,573393,574178,574945,575671,576359,577039,577724,578374,578999,579620,580265,580814,581426,581979,582482,582997,583471,583955,584408,584869,585322,585787,586215,586631,587045,587452,587831,588210,
18040,1,77,636,2602,6634,12969,21674,32348,44620,57808,71842,86358,100796,115254,129589,143700,157272,170730,183726,196316,208291,219741,230799,241601,251675,261356,270758,279702,288340,296470,304326,311780,319007,326012,332385,338559,344624,350345,355809,361058,366140,371018,375653,380188,384425,388550,392561,396339,399987,403497,406888,410147,413188,416139,419012,421618,424276,426787,429178,431519,433774,436012,438251,440240,442209,444096,445912,447681,449386,451020,452640,454181,455679,457149,458571,459921,461196,462490,463752,464967,466085,467199,468257,469327,470305,471240,472221,473176,474092,474963,475788,476614,477389,478153,478853,479526,480216,480902,481545,482180,482750,483372,483910,484456,484976,485517,486031,486533,487004,487484,487954,488415,488839,489271,489689,490087,490463,490802,491150,
18050,0,10,175,887,2557,5725,10514,16765,24309,32884,42307,52370,62745,73526,84365,95146,105774,116187,126328,136312,146016,155514,164956,173666,182342,190793,198858,206584,214001,221000,227829,234349,240543,246654,252354,257854,263162,268166,273067,277914,282435,286891,291045,295156,299154,302745,306314,309768,313091,316243,319354,322314,325196,327951,330616,333177,335581,338020,340316,342538,344679,346743,348756,350595,352440,354202,355897,357652,359289,360818,362278,363760,365124,366481,367817,369139,370389,371567,372759,373887,374974,376017,377068,378108,379065,380026,380910,381836,382700,383523,384339,385095,385809,386514,387227,387921,388609,389254,389868,390514,391152,391688,392265,392807,393321,393791,394322,394817,395300,395767,396177,396606,397009,397455,397868,398276,398642,399011,399367,
18060,0,1,71,426,1452,3399,6518,10677,16171,22405,29550,37267,45488,53886,62504,71199,79875,88687,97280,105938,114270,122408,130313,138208,145880,153284,160427,167223,173830,180259,186503,192564,198294,203794,209053,214034,218953,223639,228144,232587,236894,240886,244836,248581,252252,255745,259114,262348,265541,268644,271611,274493,277114,279788,282312,284759,287148,289471,291642,293686,295660,297678,299620,301493,303284,304964,306581,308086,309652,311190,312667,314091,315423,316811,318076,319298,320461,321628,322761,323867,324974,325988,326934,327916,328828,329712,330592,331439,332253,333039,333837,334572,335267,335952,336644,337307,337931,338569,339203,339829,340341,340884,341454,341983,342476,342954,343406,343902,344399,344789,345243,345665,346092,346471,346891,347245,347592,347929,348249,
18070,0,1,23,188,646,1716,3547,6129,9739,14244,19477,25118,31364,37921,44676,51634,58793,66037,73330,80374,87475,94345,101210,108056,114637,120924,127207,133089,138898,144584,149969,155281,160410,165299,170077,174647,179059,183275,187359,191354,195205,198915,202605,205997,209304,212639,215784,218721,221672,224470,227163,229706,232244,234645,236961,239184,241411,243504,245497,247506,249421,251234,253068,254862,256468,258093,259739,261299,262755,264191,265607,266911,268226,269501,270683,271895,273029,274090,275194,276217,277166,278160,279170,280071,280969,281869,282697,283510,284311,285088,285885,286584,287277,287928,288616,289250,289894,290470,291053,291617,292192,292745,293273,293801,294281,294776,295270,295708,296120,296539,296952,297370,297756,298174,298580,298937,299303,299640,299982,
18080,0,0,3,58,267,822,1800,3437,5597,8445,11941,15854,20226,25033,30083,35315,40917,46600,52256,58009,63680,69336,75007,80656,86138,91431,96644,101954,106933,111634,116457,121012,125563,129811,133940,137946,141864,145702,149313,152785,156231,159553,162729,165933,168984,171995,174798,177467,179972,182424,184913,187314,189631,191991,194180,196231,198215,200203,202155,203945,205718,207460,209111,210696,212279,213846,215317,216686,218080,219461,220741,222048,223286,224411,225534,226606,227700,228702,229729,230753,231645,232553,233421,234260,235086,235902,236724,237447,238248,238947,239635,240299,240963,241614,242265,242848,243418,244018,244596,245160,245721,246245,246771,247296,247758,248253,248711,249157,249562,249968,250414,250810,251148,251499,251838,252203,252555,252904,253209,
18090,0,0,1,15,109,319,855,1712,3020,4794,7077,9741,12725,16090,19779,23572,27533,31709,36076,40488,44825,49297,53742,58170,62539,66801,71057,75286,79251,83222,87299,91209,94999,98665,102214,105621,109030,112291,115433,118601,121617,124553,127361,130023,132730,135292,137904,140348,142727,145075,147249,149347,151325,153271,155190,157106,158880,160617,162265,163910,165488,167012,168499,169959,171395,172768,174083,175359,176648,177890,179023,180138,181178,182281,183288,184343,185301,186279,187244,188211,189084,189950,190769,191545,192314,193064,193791,194507,195261,195899,196633,197284,197915,198522,199127,199700,200236,200775,201291,201786,202285,202796,203273,203744,204188,204642,205115,205533,205931,206314,206684,207035,207394,207769,208087,208421,208753,209087,209394,
18100,0,0,1,6,32,116,340,735,1440,2351,3587,5119,6966,9087,11437,13999,16687,19695,22828,26068,29299,32613,35908,39265,42625,45906,49155,52403,55569,58765,61936,65077,68127,71083,73960,76803,79648,82415,85135,87717,90211,92644,95001,97326,99625,101933,104064,106182,108200,110188,112031,113977,115780,117488,119170,120845,122404,123952,125478,126906,128286,129697,131030,132273,133599,134826,136009,137187,138363,139436,140489,141516,142492,143490,144443,145344,146220,147098,147958,148851,149686,150425,151201,151988,152666,153336,153975,154607,155281,155909,156485,157059,157659,158219,158764,159304,159792,160292,160771,161211,161667,162092,162534,162958,163363,163778,164210,164611,165003,165359,165712,166053,166395,166725,167025,167378,167694,167979,168290,
18110,0,0,0,1,11,36,112,288,608,1089,1809,2701,3749,5036,6573,8296,10149,12227,14355,16581,18873,21297,23723,26224,28772,31337,33882,36506,39106,41626,44179,46708,49110,51507,53973,56253,58570,60829,63074,65268,67374,69425,71425,73373,75341,77237,79126,80879,82648,84336,85939,87567,89110,90585,92047,93488,94862,96156,97449,98728,99993,101227,102375,103493,104630,105717,106821,107857,108878,109843,110803,111760,112658,113508,114336,115128,115915,116707,117499,118209,118902,119623,120304,120972,121623,122244,122858,123462,124047,124621,125200,125752,126261,126787,127278,127759,128207,128650,129107,129571,129982,130399,130781,131176,131551,131922,132277,132616,132936,133278,133601,133903,134189,134477,134740,135049,135318,135604,135850,
18120,0,0,0,0,1,7,40,122,233,459,808,1280,1827,2525,3405,4398,5535,6735,8091,9513,11036,12627,14285,16024,17749,19543,21365,23236,25085,26939,28832,30721,32571,34397,36221,37976,39708,41540,43268,44970,46669,48293,49925,51491,52992,54560,56053,57559,58965,60297,61699,63066,64381,65614,66832,68033,69159,70313,71438,72533,73534,74523,75523,76458,77437,78416,79288,80161,80977,81811,82624,83438,84207,84968,85670,86379,87120,87767,88413,89038,89667,90267,90841,91378,91921,92426,93001,93530,94041,94554,95036,95544,96015,96467,96904,97301,97700,98123,98530,98909,99227,99559,99903,100232,100577,100889,101195,101498,101801,102114,102428,102713,103029,103302,103551,103787,104047,104293,104543,
18130,0,0,0,0,0,2,8,22,54,125,255,452,684,1002,1383,1855,2424,3063,3819,4642,5522,6411,7391,8377,9439,10636,11791,12993,14218,15448,16659,17897,19144,20435,21658,22905,24193,25415,26607,27833,29069,30216,31359,32528,33718,34843,35936,37008,38055,39061,40100,41050,42065,43015,43965,44880,45710,46574,47427,48315,49139,49951,50758,51558,52343,53071,53818,54563,55240,55943,56574,57260,57870,58530,59130,59692,60265,60835,61344,61863,62392,62899,63387,63892,64389,64835,65268,65702,66144,66588,66971,67356,67731,68123,68510,68881,69236,69570,69909,70262,70556,70853,71141,71422,71703,71948,72221,72467,72738,72984,73238,73456,73698,73916,74138,74352,74556,74784,74967,
18140,0,0,0,0,0,0,1,2,7,16,43,87,151,242,380,521,733,985,1294,1619,1965,2374,2829,3340,3842,4345,4919,5538,6160,6818,7479,8162,8883,9592,10337,11079,11875,12610,13352,14175,14871,15576,16303,17029,17731,18479,19198,19884,20577,21289,21916,22610,23214,23890,24517,25149,25809,26421,27024,27642,28228,28780,29337,29904,30437,30943,31460,31981,32496,32977,33470,33954,34399,34851,35261,35698,36120,36531,36923,37308,37696,38074,38425,38796,39146,39516,39819,40152,40432,40746,41055,41335,41613,41886,42171,42449,42710,42981,43236,43479,43714,43944,44186,44423,44630,44857,45087,45290,45486,45698,45901,46087,46271,46459,46639,46780,46957,47127,47277,
181525759,194595,392228,558716,693487,802523,891854,966419,1028811,1081633,1127145,1167241,1201940,1232388,1259291,1283280,1305091,1324270,1341816,1357808,1372579,1385861,1398085,1409274,1419746,1429165,1438071,1446352,1454103,1461208,1467864,1474016,1479925,1485416,1490490,1495313,1499871,1504243,1508343,1512085,1515785,1519206,1522564,1525612,1528580,1531370,1534065,1536511,1538895,1541186,1543308,1545345,1547336,1549159,1551033,1552717,1554384,1555942,1557493,1558935,1560350,1561617,1562909,1564164,1565346,1566498,1567595,1568608,1569670,1570645,1571507,1572433,1573357,1574199,1574997,1575753,1576529,1577227,1577892,1578576,1579265,1579886,1580523,1581129,1581681,1582227,1582773,1583276,1583750,1584233,1584701,1585160,1585599,1586049,1586434,1586802,1587190,1587512,1587848,1588179,1588489,1588845,1589176,1589463,1589743,1590011,1590295,1590557,1590840,1591098,1591336,1591563,1591792,1592010,1592238,1592459,1592640,1592847,1593043,1593227,
18163622,68022,185975,309124,421295,519193,603049,675129,737314,791916,839202,880956,918166,951171,980523,1007111,1031198,1053012,1072598,1090636,1107158,1122373,1136309,1149289,1161262,1172128,1182442,1192006,1200869,1209388,1217104,1224295,1231133,1237587,1243615,1249379,1254697,1259890,1264664,1269155,1273405,1277534,1281342,1285019,1288551,1291797,1294865,1297929,1300729,1303445,1306051,1308488,1310847,1313098,1315303,1317407,1319393,1321314,1323080,1324785,1326432,1328052,1329626,1331143,1332545,1333904,1335188,1336443,1337684,1338822,1339905,1341012,1342070,1343032,1344038,1344974,1345838,1346736,1347554,1348343,1349105,1349905,1350624,1351314,1351998,1352625,1353275,1353877,1354473,1355011,1355592,1356124,1356643,1357084,1357537,1358018,1358460,1358921,1359323,1359725,1360138,1360526,1360911,1361278,1361677,1362032,1362368,1362691,1363044,1363344,1363625,1363926,1364207,1364483,1364750,1365004,1365282,1365503,1365716,1365937,
1817850,30844,106816,198877,291030,375739,450888,518083,576519,628552,675015,716336,753393,786268,816085,843104,867471,890033,910292,929243,946517,962293,976887,990317,1002773,1014373,1025255,1035285,1044693,1053558,1061694,1069435,1076723,1083625,1090048,1096221,1101831,1107178,1112390,1117227,1121836,1126250,1130400,1134526,1138227,1141782,1145248,1148591,1151675,1154735,1157583,1160235,1162787,1165204,1167516,1169758,1171948,1173935,1175932,1177807,1179713,1181446,1183099,1184705,1186230,1187714,1189164,1190546,1191887,1193160,1194358,1195501,1196561,1197586,1198597,1199622,1200607,1201496,1202464,1203384,1204235,1205074,1205876,1206620,1207373,1208077,1208804,1209450,1210092,1210719,1211394,1211960,1212545,1213089,1213593,1214096,1214575,1215079,1215576,1216021,1216457,1216931,1217410,1217802,1218162,1218561,1218928,1219300,1219651,1219970,1220266,1220592,1220867,1221193,1221486,1221766,1222032,1222299,1222546,1222802,
1818120,10673,50498,110511,177156,243815,306559,364150,416381,464132,506904,545431,580816,612630,641705,667984,691858,714167,734394,753254,770713,786708,801466,815288,828305,840290,851578,861974,871833,881093,889758,897850,905545,912733,919429,925807,931922,937686,943088,948101,953052,957693,962114,966336,970314,974084,977760,981346,984664,987832,990915,993775,996458,998994,1001509,1003871,1006209,1008413,1010576,1012647,1014600,1016498,1018285,1019950,1021555,1023222,1024749,1026296,1027717,1029030,1030307,1031568,1032749,1033897,1035042,1036158,1037206,1038249,1039305,1040291,1041235,1042202,1043085,1043912,1044715,1045488,1046253,1046943,1047662,1048334,1049014,1049638,1050292,1050838,1051438,1052020,1052582,1053145,1053691,1054158,1054642,1055110,1055559,1055962,1056377,1056771,1057153,1057517,1057871,1058215,1058596,1058945,1059282,1059619,1059926,1060265,1060605,1060899,1061154,1061434,
181910,2502,18140,49237,89735,134951,180847,225673,267887,307680,344384,378385,409630,438400,464863,489476,512188,533008,552240,570437,587200,602783,617105,630843,643453,655220,666278,676764,686613,695975,704838,713139,720877,728194,735011,741567,747720,753770,759356,764703,769679,774520,779125,783539,787737,791722,795519,799080,802526,805764,808860,811875,814745,817402,819981,822559,824859,827175,829404,831574,833548,835609,837558,839404,841249,842953,844627,846258,847753,849266,850652,852019,853276,854487,855711,856883,858019,859088,860139,861200,862204,863167,864080,864986,865845,866725,867536,868288,869033,869737,870455,871081,871718,872392,872994,873632,874225,874853,875407,875963,876466,876963,877442,877957,878444,878874,879342,879746,880147,880546,880961,881344,881716,882074,882407,882747,883067,883379,883651,883948,
18201,964,9450,29287,58320,93155,130103,167162,203306,237944,270536,300832,329398,355823,380733,403828,425222,444907,463096,480260,496300,511188,525236,538485,550817,562448,573295,583589,593262,602333,610825,618982,626755,634211,640951,647396,653501,659348,664958,670193,675302,680053,684607,688846,692966,696885,700632,704320,707805,711110,714283,717367,720218,723028,725679,728249,730696,733081,735419,737564,739686,741703,743608,745513,747341,749027,750686,752263,753783,755316,756774,758155,759526,760751,761990,763178,764270,765470,766558,767640,768674,769627,770517,771400,772301,773187,774061,774902,775666,776408,777087,777782,778507,779175,779791,780401,780998,781572,782148,782692,783227,783709,784173,784664,785108,785576,786014,786452,786860,787262,787671,788074,788470,788802,789184,789530,789863,790166,790470,790752,
18210,308,4338,15863,35308,59764,87792,116860,146336,175027,202592,228926,253964,277522,299758,320447,339873,358370,375544,391618,406828,421178,434253,446790,458385,469486,480022,489888,499179,507967,516272,524151,531608,538711,545463,551820,558058,563792,569301,574440,579334,584070,588590,592878,596850,600723,604379,607941,611384,614794,617904,620945,623826,626629,629330,631860,634292,636674,639009,641190,643246,645317,647340,649250,651037,652776,654484,656082,657663,659152,660640,662071,663402,664720,665956,667123,668312,669401,670469,671558,672537,673567,674537,675478,676344,677199,678021,678870,679657,680413,681128,681868,682516,683161,683837,684447,685049,685663,686283,686860,687416,687948,688429,688907,689382,689824,690265,690695,691119,691519,691956,692357,692736,693100,693522,693882,694219,694559,694866,695156,
18220,105,1659,7587,18987,35232,54703,76299,98556,121575,144546,166492,187695,207727,227119,245344,262695,279210,294832,309370,323067,336109,348369,359862,370880,381340,391106,400540,409393,417673,425668,433285,440337,447036,453565,459703,465436,470951,476358,481578,486414,490948,495351,499527,503516,507341,510968,514528,517931,521191,524287,527177,530040,532853,535475,538031,540451,542821,545032,547129,549161,551102,553062,554937,556776,558462,560061,561651,563187,564658,566082,567389,568753,570065,571323,572574,573717,574821,575943,577054,578131,579136,580064,580937,581839,582653,583541,584335,585073,585829,586579,587284,587967,588626,589296,589965,590551,591167,591729,592299,592842,593351,593871,594345,594800,595266,595699,596122,596572,597008,597420,597831,598207,598579,598932,599273,599607,599968,600297,600591,
18230,15,519,3113,8987,18417,30715,45311,61213,77732,94872,112218,128971,145434,161257,176568,191196,205360,218786,231534,243523,254931,266103,276428,286473,295976,304763,313332,321255,329053,336195,343363,349955,356267,362338,367994,373575,378859,383779,388554,393041,397381,401535,405539,409325,412970,416557,419891,423154,426208,429183,432087,434829,437472,440051,442459,444758,447082,449249,451305,453325,455224,457088,458922,460649,462330,463934,465517,467034,468522,469973,471332,472672,473978,475189,476361,477565,478707,479740,480852,481851,482825,483789,484744,485629,486523,487392,488228,489000,489784,490478,491191,491910,492589,493273,493860,494430,495049,495638,496226,496766,497307,497842,498349,498783,499257,499729,500185,500605,501008,501405,501785,502170,502569,502935,503283,503604,503943,504239,504570,
18240,3,229,1539,5207,11541,20131,30946,43291,56650,70811,85134,99304,113208,126963,140419,153452,165954,177904,189286,200186,210611,220641,230275,239406,248110,256413,264409,272046,279171,286161,292751,299018,305005,310776,316147,321413,326337,331064,335591,340082,344246,348269,352040,355741,359243,362665,365911,368959,371985,374846,377588,380246,382791,385326,387673,389950,392119,394167,396183,398111,400066,401859,403665,405368,407002,408557,410107,411574,413015,414378,415747,417028,418343,419509,420664,421718,422831,423933,424941,425913,426832,427788,428710,429621,430470,431295,432083,432882,433660,434402,435111,435842,436502,437123,437710,438320,438894,439469,440040,440596,441123,441619,442101,442642,443085,443514,443974,444402,444825,445202,445591,445961,446320,446683,447035,447406,447738,448018,448333,
18250,3,101,754,2755,6526,12338,19980,29222,39405,50396,61709,73429,85096,96542,107987,119159,129963,140243,150343,160013,169420,178363,187069,195454,203382,210994,218323,225289,231999,238287,244397,250271,255903,261262,266330,271178,275768,280150,284378,288449,292425,296210,299839,303394,306803,310061,313109,316055,318913,321635,324383,326933,329333,331651,333948,336078,338287,340313,342285,344156,345976,347672,349444,351105,352686,354257,355766,357190,358569,359807,361080,362361,363546,364717,365844,366943,367977,368985,369984,370973,371910,372825,373731,374582,375438,376267,377058,377849,378506,379217,379872,380517,381189,381844,382446,383038,383608,384176,384710,385274,385757,386243,386723,387172,387631,388105,388499,388923,389313,389740,390136,390497,390847,391217,391560,391894,392221,392523,392834,
18260,0,31,314,1353,3527,7063,12106,18363,25660,33894,42709,51704,61003,70274,79577,88817,97908,106581,115280,123508,131589,139431,147053,154422,161519,168323,174758,181104,187113,192761,198233,203508,208660,213443,218289,222834,227155,231268,235232,239023,242699,246288,249661,252957,256055,259078,262036,264912,267668,270242,272644,275119,277402,279594,281815,283947,285919,287912,289700,291532,293286,294974,296628,298192,299718,301230,302651,304047,305405,306644,307902,309115,310283,311416,312441,313534,314570,315625,316544,317519,318424,319302,320166,320990,321795,322604,323379,324118,324867,325590,326192,326869,327530,328156,328750,329331,329867,330395,330932,331413,331911,332411,332858,333292,333707,334099,334489,334903,335278,335635,336015,336374,336678,337012,337310,337630,337974,338294,338605,
18270,0,5,107,567,1654,3656,6648,10578,15383,21038,27352,34027,40935,48027,55012,62391,69624,76924,84136,91095,97862,104516,110882,117143,123120,128841,134576,140017,145219,150282,155257,159924,164234,168657,172899,176843,180737,184491,188032,191448,194800,197956,200964,203982,206925,209747,212475,215060,217554,219914,222160,224342,226512,228530,230513,232442,234330,236153,237907,239612,241236,242851,244293,245777,247196,248576,249947,251259,252455,253658,254805,255946,257054,258148,259159,260149,261083,261982,262888,263734,264627,265484,266330,267116,267905,268671,269423,270146,270795,271441,272073,272685,273263,273839,274405,274937,275478,275992,276500,276982,277481,277932,278393,278852,279276,279670,280087,280477,280838,281186,281529,281893,282247,282607,282940,283250,283581,283877,284158,
18280,0,0,24,169,647,1598,3130,5481,8369,12019,16099,20416,25104,30256,35305,40696,46248,51704,57176,62607,67817,73029,78151,83153,88163,92888,97476,102082,106538,110884,115056,118968,122795,126460,130026,133683,137201,140638,143875,146984,149993,152759,155547,158314,160891,163398,165843,168130,170394,172534,174600,176624,178480,180432,182265,183995,185721,187368,188895,190404,191905,193363,194735,196142,197472,198787,199974,201106,202295,203372,204427,205458,206475,207445,208366,209244,210151,211029,211906,212740,213563,214319,215102,215864,216559,217274,217959,218667,219316,219946,220521,221125,221740,222275,222796,223271,223799,224309,224776,225263,225736,226153,226570,226964,227358,227742,228131,228514,228888,229251,229563,229868,230188,230492,230807,231112,231414,231701,231955,
18290,0,0,7,58,233,682,1465,2711,4339,6507,9174,12120,15333,18831,22552,26387,30352,34460,38631,42829,47046,51199,55356,59467,63468,67419,71249,75005,78740,82251,85678,88999,92309,95506,98475,101325,104286,107166,109890,112536,115019,117515,119888,122287,124564,126751,128837,130858,132838,134819,136654,138405,140101,141752,143358,144953,146489,147994,149412,150778,152115,153422,154675,155892,157068,158215,159362,160478,161577,162641,163616,164549,165478,166414,167270,168131,169011,169808,170618,171413,172123,172827,173565,174256,174936,175563,176197,176799,177391,177963,178524,179053,179608,180165,180681,181179,181647,182084,182563,182970,183405,183801,184201,184580,184980,185376,185740,186096,186446,186766,187072,187402,187696,187970,188247,188561,188869,189153,189420,
18300,0,0,2,15,61,215,545,1088,1875,2926,4313,6008,7953,10114,12462,15069,17734,20549,23522,26371,29387,32400,35439,38621,41625,44611,47622,50462,53308,56036,58838,61521,64075,66736,69235,71624,74050,76321,78603,80858,82999,85032,87072,89045,90963,92804,94547,96309,98047,99768,101392,102894,104363,105810,107254,108642,109925,111170,112450,113657,114812,115977,117081,118132,119190,120169,121186,122158,123164,124132,124994,125813,126660,127443,128225,128966,129730,130507,131195,131875,132589,133235,133846,134449,135060,135630,136214,136800,137326,137831,138316,138837,139355,139842,140296,140730,141164,141560,141960,142358,142721,143106,143483,143839,144210,144531,144861,145200,145509,145795,146105,146398,146691,146935,147210,147468,147765,147997,148244,
18310,0,0,0,1,12,42,126,288,561,1027,1686,2508,3479,4644,5951,7344,8863,10544,12385,14216,16156,18132,20217,22240,24302,26266,28294,30353,32331,34321,36252,38235,40128,42041,43884,45697,47474,49289,51044,52708,54380,56010,57586,59150,60646,62115,63588,64993,66380,67716,69014,70310,71561,72702,73850,74951,76071,77149,78187,79150,80086,81045,81962,82831,83680,84506,85343,86141,86951,87713,88452,89170,89859,90571,91223,91927,92541,93155,93751,94337,94952,95517,96017,96554,97055,97578,98074,98571,99063,99502,99969,100414,100832,101256,101701,102067,102476,102831,103191,103534,103870,104161,104441,104787,105063,105339,105631,105917,106216,106487,106725,107007,107252,107481,107730,107959,108174,108400,108603,
18320,0,0,0,0,1,6,22,62,134,228,421,679,1001,1423,1906,2515,3151,3917,4707,5625,6538,7575,8628,9744,10876,11977,13122,14259,15428,16668,17923,19102,20345,21587,22735,23890,24992,26124,27185,28307,29417,30493,31567,32555,33593,34665,35679,36666,37627,38572,39506,40407,41302,42131,42957,43788,44537,45331,46038,46805,47537,48232,48968,49680,50377,51000,51634,52265,52865,53468,54038,54577,55124,55639,56163,56653,57162,57662,58129,58564,58993,59415,59819,60196,60623,60986,61383,61787,62210,62542,62900,63245,63562,63878,64202,64486,64804,65149,65468,65748,65991,66237,66499,66747,66987,67249,67475,67698,67927,68154,68379,68572,68745,68935,69132,69341,69544,69722,69899,
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183411249,115011,257126,387598,498855,591603,669627,735342,791131,839323,881179,917781,950095,978775,1004547,1027645,1048354,1067187,1084379,1099842,1114041,1126919,1139062,1150311,1160490,1169883,1178725,1186889,1194673,1201835,1208657,1214918,1221043,1226648,1231866,1236779,1241521,1246032,1250233,1254236,1257978,1261492,1264942,1268165,1271255,1274139,1276857,1279518,1282068,1284454,1286847,1289033,1291156,1293137,1295146,1296956,1298634,1300268,1301944,1303450,1304918,1306269,1307614,1308954,1310252,1311423,1312601,1313767,1314838,1315853,1316818,1317718,1318637,1319559,1320440,1321299,1322119,1322890,1323651,1324427,1325116,1325762,1326419,1327023,1327599,1328201,1328747,1329302,1329833,1330350,1330862,1331349,1331841,1332288,1332732,1333165,1333579,1333957,1334332,1334713,1335062,1335402,1335755,1336075,1336385,1336722,1337058,1337359,1337642,1337922,1338198,1338440,1338700,1338953,1339192,1339430,1339653,1339881,1340080,1340283,
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1837147,9795,44475,95150,151951,208185,261447,310240,355101,395819,432495,465822,496181,523878,548810,571876,592589,611701,629435,645892,661375,675508,688676,700855,712402,723016,732982,742231,750835,758963,766720,773882,780755,787253,793335,799087,804666,809818,814740,819339,823883,828141,832160,835985,839614,843107,846558,849716,852842,855827,858612,861251,863688,866057,868356,870613,872770,874820,876763,878663,880492,882220,883905,885519,887073,888522,889882,891304,892625,893871,895108,896266,897397,898518,899645,900671,901668,902668,903618,904522,905366,906225,907085,907862,908659,909355,910052,910770,911405,912077,912704,913304,913879,914459,915015,915553,916079,916599,917060,917510,917964,918415,918835,919283,919708,920089,920447,920833,921220,921561,921918,922273,922568,922891,923242,923538,923836,924118,924359,924613,
183835,4784,26881,64047,108903,155698,201277,244280,284720,321803,355657,386607,415046,441208,465272,487520,507794,526539,543899,560257,575242,589130,601982,614039,625208,635934,645816,655177,663859,672065,679718,687055,693989,700499,706577,712291,717711,722851,727821,732500,736999,741271,745397,749228,752891,756413,759702,762888,765993,768941,771805,774532,777048,779546,781882,784123,786341,788390,790387,792315,794144,795827,797582,799278,800890,802423,803885,805301,806675,808005,809323,810567,811720,812870,814000,815057,816044,816983,817979,818918,819782,820646,821523,822338,823131,823922,824609,825324,826014,826719,827371,827978,828588,829180,829798,830319,830836,831359,831854,832352,832835,833279,833733,834158,834589,834990,835397,835753,836129,836517,836892,837238,837599,837922,838252,838554,838843,839140,839424,839708,
18393,2114,14789,39884,73093,110084,147987,185094,219866,252968,283658,312266,338401,362819,385135,405848,425193,443193,459825,475398,489974,503278,515487,527237,538368,549005,558571,567667,576414,584358,592021,599131,606068,612725,618890,624664,630324,635613,640510,645230,649740,654044,658144,661978,665646,669068,672482,675626,678689,681691,684547,687289,689874,692374,694837,697086,699302,701367,703365,705375,707220,709048,710852,712454,714002,715657,717123,718483,719863,721235,722568,723811,725015,726131,727208,728265,729344,730372,731373,732350,733325,734189,735017,735861,736672,737459,738202,738944,739650,740318,740960,741628,742238,742829,743420,743946,744468,744968,745485,745995,746458,746913,747363,747767,748177,748560,748970,749363,749739,750122,750504,750889,751235,751548,751889,752194,752501,752796,753058,753350,
18400,694,6992,22214,44987,72052,101223,130781,160261,188106,214670,239806,263141,285103,305823,324867,342621,359427,374902,389548,403007,415948,427970,439230,449618,459623,468897,477701,485967,493916,501367,508486,515120,521648,527612,533143,538669,543816,548644,553289,557724,561932,566029,569836,573553,577019,580367,583615,586774,589663,592546,595236,597834,600400,602776,605087,607316,609415,611532,613453,615319,617160,618918,620674,622315,623939,625463,626937,628316,629652,631008,632297,633503,634647,635764,636927,637990,639006,640027,640954,641860,642733,643587,644450,645183,645976,646725,647470,648165,648858,649558,650192,650835,651477,652045,652607,653169,653694,654249,654739,655212,655688,656157,656622,657078,657507,657915,658322,658702,659083,659437,659780,660136,660489,660792,661108,661416,661680,661992,662255,
18410,199,2897,11137,24858,43076,63967,85974,108837,131291,153460,174608,194426,213551,231043,247883,264020,279004,292973,306416,318822,330746,342139,352620,362556,371987,380720,389117,397058,404480,411544,418230,424536,430808,436679,442004,447352,452385,457183,461739,466047,470162,474168,477867,481391,484872,488178,491312,494272,497190,499987,502680,505264,507720,510031,512220,514309,516414,518418,520343,522253,524145,525877,527510,529133,530702,532259,533740,535161,536505,537792,539085,540286,541427,542529,543704,544754,545771,546776,547745,548664,549553,550432,551252,552042,552840,553578,554358,555077,555774,556449,557151,557807,558440,559055,559678,560260,560820,561368,561867,562354,562824,563285,563708,564168,564629,565037,565451,565852,566255,566629,566966,567328,567683,568013,568329,568653,568964,569300,569594,
18420,75,1451,6338,15691,29048,45173,62837,81515,100633,119439,137477,155175,172103,188148,203668,217976,231922,244842,257172,268807,279772,290253,300165,309365,318450,326917,334787,342302,349547,356269,362670,368780,374725,380301,385824,390888,395732,400414,404768,408998,413077,416835,420521,424076,427452,430663,433735,436708,439490,442242,444956,447506,449960,452308,454565,456669,458628,460635,462579,464457,466270,468026,469713,471335,472868,474427,475885,477288,478617,479983,481193,482399,483568,484672,485741,486823,487857,488841,489827,490716,491608,492426,493259,494078,494845,495567,496322,497067,497729,498425,499074,499698,500331,500935,501488,502039,502587,503126,503651,504168,504654,505108,505578,506022,506419,506825,507221,507637,508028,508413,508792,509130,509466,509797,510121,510452,510738,511027,511306,
18430,31,701,3453,9586,18805,30586,44157,58877,74176,89668,105248,120318,134941,149089,162543,175393,187877,199813,211044,221730,231989,241526,250659,259506,267692,275536,283010,290227,297083,303528,309670,315565,321189,326481,331580,336418,341045,345434,349711,353659,357501,361186,364728,368153,371475,374604,377630,380384,383145,385856,388403,390842,393136,395426,397529,399591,401613,403574,405493,407331,409125,410797,412455,414013,415575,417019,418380,419785,421079,422405,423645,424796,425921,427052,428113,429158,430146,431137,432043,432925,433788,434586,435403,436193,436949,437732,438468,439207,439933,440629,441342,441918,442525,443136,443721,444260,444814,445357,445852,446336,446835,447310,447781,448211,448628,449013,449438,449818,450165,450555,450913,451276,451618,451978,452302,452633,452934,453251,453518,
18440,5,264,1648,5148,11010,19050,28822,39972,51775,64270,76844,89061,101222,113150,124873,136167,147058,157374,167381,176877,186095,194876,203124,211259,218871,226046,233010,239585,245895,251806,257555,262994,268213,273144,277963,282458,286884,291068,294952,298742,302416,305990,309364,312572,315689,318673,321570,324358,326960,329466,331875,334211,336450,338643,340800,342849,344777,346702,348521,350193,351858,353530,355083,356669,358113,359533,360897,362211,363514,364706,365925,367090,368208,369281,370311,371312,372274,373232,374186,375062,375893,376721,377543,378318,379068,379770,380480,381155,381850,382487,383091,383733,384329,384878,385494,386040,386549,387078,387592,388048,388502,388952,389371,389777,390206,390616,390989,391428,391805,392130,392480,392825,393174,393490,393842,394170,394453,394719,394987,
18450,0,90,666,2521,5833,10750,17372,25088,33943,43173,52733,62413,72199,82067,91560,100996,109860,118648,127231,135401,143442,151121,158514,165550,172272,178610,184889,190765,196405,201759,206922,211906,216674,221238,225681,229910,233949,237749,241521,245137,248579,251759,254941,258035,260851,263620,266306,268966,271522,273936,276297,278502,280597,282674,284694,286674,288502,290309,292024,293719,295309,296891,298391,299843,301269,302626,303881,305118,306321,307461,308556,309695,310769,311768,312725,313679,314581,315487,316322,317138,317970,318812,319611,320366,321139,321913,322615,323312,323972,324593,325127,325713,326276,326835,327387,327917,328457,328959,329438,329936,330447,330883,331314,331745,332158,332540,332932,333346,333709,334043,334395,334732,335060,335404,335737,336015,336277,336554,336840,
18460,1,25,228,982,2648,5374,9273,14077,19822,26031,32964,40057,47343,54663,61984,69278,76459,83444,90440,97110,103657,109974,116170,122169,127875,133458,138839,143946,148850,153619,158323,162666,166893,170944,174913,178733,182302,185748,189041,192275,195311,198378,201259,204034,206699,209252,211809,214200,216452,218628,220802,222888,224902,226750,228598,230318,231963,233675,235260,236740,238211,239678,241144,242460,243760,245030,246284,247519,248711,249850,250867,251934,252984,253960,254938,255838,256743,257573,258443,259254,260051,260805,261531,262217,262935,263612,264284,264898,265480,266068,266674,267260,267781,268359,268838,269357,269846,270328,270800,271292,271763,272172,272610,273023,273385,273779,274182,274540,274926,275253,275597,275906,276219,276526,276824,277115,277405,277693,277928,
18470,0,6,56,315,1092,2530,4711,7684,11298,15552,20349,25326,30628,36078,41577,47050,52739,58348,63909,69242,74513,79700,84788,89718,94703,99492,104072,108484,112770,116802,120714,124536,128266,131846,135299,138657,141791,144826,147916,150814,153525,156218,158753,161191,163566,165884,168129,170288,172353,174428,176370,178222,180093,181868,183602,185272,186854,188354,189775,191183,192512,193932,195260,196556,197726,198914,200062,201161,202217,203244,204299,205242,206165,207099,208013,208906,209742,210505,211329,212061,212773,213481,214204,214856,215545,216172,216803,217409,218027,218583,219153,219694,220247,220747,221251,221720,222176,222649,223129,223586,223986,224362,224766,225147,225492,225842,226198,226555,226938,227263,227596,227909,228202,228471,228763,229030,229319,229584,229856,
18480,0,0,15,98,356,965,1987,3456,5458,7875,10667,13789,17209,20918,24684,28642,32703,36763,40906,45032,49110,53100,57039,60911,64716,68338,71962,75386,78760,82190,85495,88674,91826,94826,97659,100447,103293,106006,108554,111098,113487,115834,118102,120256,122369,124388,126363,128249,130054,131769,133528,135212,136759,138353,139831,141317,142704,144057,145450,146744,147966,149177,150310,151392,152471,153512,154612,155603,156557,157462,158407,159332,160193,161055,161858,162632,163403,164092,164800,165500,166173,166831,167422,168057,168663,169313,169905,170488,171019,171532,172042,172554,173033,173511,173986,174487,174893,175333,175743,176172,176562,176941,177317,177699,178079,178462,178821,179108,179438,179753,180057,180348,180633,180873,181125,181359,181605,181847,182071,
18490,0,0,3,21,90,262,607,1200,2045,3187,4645,6343,8229,10325,12572,14928,17404,19963,22620,25393,28165,30969,33731,36455,39189,41891,44511,47080,49690,52190,54725,57130,59439,61723,63999,66235,68372,70394,72470,74501,76393,78300,80047,81809,83515,85196,86733,88342,89881,91315,92767,94134,95446,96745,98001,99185,100356,101535,102642,103772,104810,105841,106857,107811,108794,109707,110610,111478,112305,113134,113945,114715,115457,116185,116910,117594,118258,118948,119566,120166,120750,121355,121928,122510,123026,123540,124044,124535,125050,125528,126003,126482,126925,127360,127742,128129,128510,128896,129235,129601,129914,130240,130557,130870,131192,131488,131782,132085,132371,132660,132935,133229,133469,133677,133913,134125,134355,134590,134810,
18500,0,0,0,2,11,37,91,242,457,772,1193,1798,2506,3349,4350,5467,6670,7931,9302,10659,12060,13599,15145,16757,18390,19997,21456,23093,24717,26312,27903,29512,31044,32581,34056,35503,36876,38311,39629,40988,42372,43677,44999,46293,47464,48638,49749,50882,51995,53066,54151,55223,56196,57177,58138,59017,59942,60819,61678,62514,63306,64105,64893,65680,66384,67090,67815,68494,69154,69823,70454,71061,71653,72231,72800,73343,73849,74365,74854,75335,75821,76285,76751,77216,77696,78098,78510,78902,79307,79667,80069,80406,80781,81143,81472,81772,82101,82415,82726,83055,83337,83600,83886,84142,84396,84644,84856,85084,85326,85564,85809,86017,86236,86427,86645,86858,87043,87233,87426,
185172748,304964,506807,658619,774753,865491,938601,998402,1047738,1089708,1125641,1156792,1184106,1208419,1229480,1248243,1265197,1280709,1294329,1307024,1318515,1329181,1338915,1347845,1356242,1363967,1371197,1377870,1384142,1389940,1395398,1400643,1405480,1409989,1414116,1418137,1421848,1425368,1428657,1431821,1434798,1437621,1440379,1442918,1445382,1447691,1449884,1452048,1454050,1456043,1457860,1459650,1461355,1462943,1464508,1465998,1467398,1468778,1470135,1471356,1472545,1473676,1474759,1475807,1476844,1477802,1478758,1479621,1480493,1481338,1482136,1482904,1483638,1484381,1485091,1485796,1486474,1487138,1487742,1488337,1488895,1489401,1489942,1490457,1490966,1491440,1491893,1492332,1492765,1493176,1493578,1493985,1494393,1494764,1495140,1495503,1495855,1496158,1496461,1496749,1497034,1497292,1497571,1497820,1498076,1498337,1498585,1498833,1499052,1499288,1499517,1499741,1499960,1500157,1500330,1500510,1500726,1500906,1501059,1501207,
185222050,156650,311606,444138,551339,639755,712885,773500,825070,869209,907029,940349,969616,995336,1018296,1039097,1057738,1074695,1090045,1104028,1116793,1128607,1139391,1149450,1158930,1167684,1175744,1183174,1190134,1196754,1202872,1208633,1214036,1219187,1223866,1228450,1232673,1236731,1240562,1244139,1247600,1250928,1254079,1256969,1259782,1262418,1264934,1267367,1269651,1271861,1274002,1276000,1277902,1279689,1281493,1283225,1284816,1286350,1287827,1289229,1290631,1291957,1293199,1294457,1295614,1296730,1297797,1298863,1299911,1300872,1301817,1302713,1303593,1304398,1305183,1306014,1306747,1307461,1308121,1308850,1309500,1310130,1310753,1311350,1311908,1312458,1312970,1313477,1313956,1314426,1314886,1315343,1315818,1316279,1316694,1317102,1317502,1317886,1318229,1318562,1318920,1319209,1319548,1319854,1320147,1320407,1320687,1320980,1321230,1321487,1321738,1321977,1322220,1322471,1322716,1322941,1323130,1323316,1323506,1323713,
18539198,96511,219657,334272,432461,514866,584695,644419,695270,739591,778174,811728,841584,868252,891963,913375,932591,950152,966320,980978,994286,1006701,1018105,1028869,1038823,1047973,1056597,1064498,1071822,1078885,1085332,1091596,1097380,1102708,1107873,1112837,1117376,1121731,1125787,1129638,1133250,1136780,1140119,1143225,1146225,1149083,1151807,1154340,1156817,1159196,1161467,1163652,1165772,1167716,1169607,1171369,1173050,1174728,1176273,1177798,1179226,1180676,1182005,1183306,1184532,1185678,1186826,1187993,1189124,1190188,1191204,1192172,1193113,1194001,1194825,1195670,1196454,1197242,1198005,1198754,1199449,1200131,1200787,1201399,1202027,1202624,1203204,1203782,1204288,1204792,1205288,1205780,1206241,1206701,1207198,1207657,1208082,1208502,1208885,1209276,1209635,1209985,1210326,1210688,1211007,1211336,1211656,1211945,1212212,1212475,1212753,1213039,1213298,1213539,1213772,1214004,1214235,1214459,1214664,1214887,
18542903,50982,138228,230954,315395,389712,454335,510561,559353,602175,639950,673512,703428,730295,754222,776022,795558,813603,830117,845417,859239,872236,884059,895134,905450,915033,923983,932182,939835,947005,953961,960470,966532,972381,977718,982825,987678,992268,996491,1000444,1004349,1008055,1011460,1014820,1018095,1021165,1024004,1026720,1029440,1031996,1034412,1036702,1038897,1041053,1043064,1045052,1046906,1048662,1050446,1052045,1053552,1054999,1056478,1057879,1059184,1060474,1061711,1062941,1064141,1065316,1066368,1067371,1068367,1069385,1070375,1071232,1072048,1072927,1073739,1074510,1075271,1076013,1076699,1077393,1078072,1078713,1079378,1079952,1080491,1081060,1081575,1082100,1082596,1083116,1083588,1084033,1084498,1084925,1085357,1085773,1086150,1086516,1086882,1087219,1087586,1087934,1088256,1088594,1088910,1089186,1089471,1089769,1090052,1090355,1090617,1090886,1091123,1091349,1091556,1091769,
1855622,21096,73157,138586,205054,266974,323017,372770,416979,456741,492669,524742,553431,579634,603347,624838,644692,662807,679431,694650,708749,721720,733899,745223,755639,765417,774506,783045,791027,798487,805539,812296,818526,824353,829896,835268,840279,845044,849569,853768,857931,861864,865615,869085,872419,875521,878651,881570,884355,886975,889627,892006,894371,896622,898735,900817,902734,904575,906397,908157,909755,911307,912886,914387,915827,917216,918506,919794,921041,922180,923359,924526,925573,926547,927495,928467,929403,930279,931127,931974,932802,933544,934330,935072,935744,936380,937084,937726,938338,938954,939510,940022,940595,941131,941623,942094,942581,943035,943434,943863,944333,944742,945113,945486,945872,946246,946630,946952,947306,947663,947996,948297,948583,948903,949173,949445,949712,949999,950256,950513,
1856194,11948,48820,99984,155324,208901,259116,305261,346671,384098,417768,448352,476201,501625,524483,545784,565123,582646,599084,614173,628302,641191,653347,664491,675005,684691,693639,702273,709984,717509,724642,731364,737806,743831,749573,754925,759990,764854,769404,773625,777774,781640,785381,788981,792336,795611,798787,801648,804505,807231,809770,812340,814767,816967,819156,821333,823297,825276,827037,828725,830398,832084,833667,835138,836582,838005,839366,840705,842000,843294,844470,845625,846744,847832,848839,849792,850747,851629,852538,853350,854162,854941,855726,856512,857220,857913,858652,859315,859962,860552,861125,861677,862293,862801,863345,863841,864340,864847,865337,865773,866202,866588,867001,867427,867827,868166,868540,868887,869209,869535,869901,870239,870553,870844,871148,871422,871699,871981,872237,872473,
185757,5950,29509,67191,110980,155807,199433,239915,277161,311322,342922,371555,397684,421678,443923,464204,482738,499899,515952,530658,544564,557376,569342,580465,590786,600543,609571,618118,626231,633908,640902,647748,654276,660334,665947,671331,676422,681212,685843,690063,694260,698296,702100,705644,709103,712364,715505,718485,721373,724166,726711,729212,731641,733985,736191,738244,740157,742141,744045,745907,747596,749274,750910,752390,753911,755327,756676,758012,759332,760596,761829,762976,764034,765117,766138,767115,768103,769074,770009,770918,771792,772572,773356,774111,774874,775614,776270,776965,777599,778274,778885,779490,780076,780646,781145,781620,782142,782638,783118,783607,784056,784465,784865,785268,785650,786035,786426,786785,787175,787545,787866,788203,788512,788844,789148,789471,789740,790019,790264,790510,
185819,2551,16244,41520,73885,109456,145066,179415,211960,242549,270853,297098,321275,343506,364155,383348,401073,417446,432547,446673,460016,472266,483851,494787,504777,514442,523372,531901,539879,547297,554270,560919,567137,573233,578807,584155,589225,594157,598809,603084,607226,611178,614893,618518,621916,625184,628271,631387,634145,636947,639663,642220,644594,646918,649194,651250,653246,655247,657138,658884,660673,662366,664103,665612,667136,668615,669954,671357,672638,673871,675102,676325,677471,678566,679655,680695,681697,682649,683576,684474,685308,686155,686925,687695,688426,689170,689887,690554,691204,691844,692453,693059,693648,694178,694688,695265,695773,696252,696748,697195,697652,698116,698471,698938,699362,699755,700139,700548,700896,701278,701594,701928,702287,702606,702944,703258,703531,703824,704088,704378,
18592,847,7527,22718,44472,70291,97584,124700,151424,177425,201715,224382,245832,265646,284399,301897,318171,333389,347312,360773,373354,384999,395943,406293,415977,425134,433672,441830,449551,456712,463643,470052,476134,481960,487448,492763,497760,502552,507120,511447,515532,519452,523148,526685,530127,533354,536416,539416,542257,544983,547629,550143,552590,554964,557177,559377,561467,563497,565435,567275,569036,570729,572347,573909,575416,576913,578329,579736,581022,582311,583552,584775,585910,586960,588104,589110,590063,591038,591963,592889,593783,594620,595488,596302,597109,597831,598554,599223,599868,600512,601141,601784,602403,603007,603573,604123,604626,605160,605685,606149,606594,607028,607443,607832,608284,608701,609118,609473,609840,610217,610600,610903,611208,611519,611860,612176,612467,612751,613013,613319,
18601,406,4231,14530,30477,50394,72717,95775,118842,141223,162912,183375,202986,221184,238375,254293,269616,283766,297001,309480,321308,332558,343043,352745,361983,370709,378903,386900,394331,401433,408182,414445,420494,426279,431687,436780,441549,446201,450592,454796,458867,462740,466389,469981,473389,476590,479697,482609,485407,488102,490787,493305,495675,497997,500216,502296,504336,506323,508169,509978,511774,513483,515132,516677,518177,519666,521053,522389,523710,525025,526238,527434,528584,529657,530698,531726,532677,533656,534560,535504,536353,537210,537991,538765,539571,540310,541068,541786,542450,543053,543687,544311,544892,545456,545992,546527,547067,547567,548019,548482,548967,549434,549847,550273,550678,551067,551492,551863,552210,552579,552935,553257,553598,553896,554233,554552,554858,555140,555409,555705,
18610,149,2166,8640,19843,34735,51985,70799,89879,108769,127283,145328,162524,178827,194396,209025,223037,236175,248600,260268,271339,281787,291632,301021,309797,318088,325982,333466,340536,347178,353629,359621,365376,370865,376103,381016,385747,390325,394536,398638,402615,406366,409905,413383,416622,419719,422693,425582,428280,430893,433386,435835,438191,440542,442670,444747,446719,448711,450544,452266,454051,455629,457213,458733,460283,461758,463143,464490,465770,467062,468276,469417,470555,471688,472740,473742,474822,475799,476700,477607,478459,479290,480117,480922,481666,482410,483135,483808,484473,485136,485753,486359,486949,487535,488075,488595,489100,489604,490090,490567,491063,491548,491996,492430,492848,493226,493602,493976,494340,494746,495098,495452,495764,496092,496388,496721,497013,497326,497603,497853,
18620,38,930,4508,11570,21760,34317,48674,63728,79032,94202,109539,124153,138349,151640,164674,177093,188863,199980,210701,220800,230458,239471,248044,256271,264026,271403,278359,285222,291580,297574,303229,308661,313909,318959,323653,328208,332583,336771,340790,344663,348139,351568,354828,358000,361016,363955,366704,369392,371935,374474,376787,379152,381297,383408,385412,387359,389187,390978,392727,394465,396084,397686,399160,400634,401998,403402,404784,406059,407299,408493,409635,410696,411793,412783,413775,414782,415730,416651,417618,418478,419305,420130,420962,421743,422477,423235,423925,424608,425243,425877,426518,427109,427659,428206,428724,429285,429789,430304,430748,431204,431692,432137,432562,432955,433351,433747,434116,434485,434851,435185,435524,435842,436188,436510,436809,437134,437437,437685,437975,
18630,12,404,2153,6098,12650,20886,30858,41918,53746,65814,77948,89930,101738,113061,124126,134779,144977,154835,164037,173138,181654,189848,197694,205112,212262,218968,225420,231608,237476,243092,248455,253485,258451,263052,267494,271768,275787,279729,283362,286876,290288,293476,296652,299612,302598,305375,308081,310632,313019,315425,317743,319945,322106,324140,326045,327929,329739,331505,333236,334829,336416,337919,339447,340885,342277,343646,344926,346134,347347,348507,349639,350726,351809,352838,353793,354729,355635,356495,357381,358195,358993,359807,360587,361304,362021,362741,363413,364103,364724,365364,365952,366519,367076,367615,368117,368650,369186,369678,370143,370639,371097,371487,371870,372265,372642,373021,373374,373712,374048,374372,374692,375004,375312,375639,375933,376235,376531,376790,377052,
18640,2,119,832,2744,6238,11264,17669,25197,33381,42147,51267,60469,69593,78569,87524,96139,104572,112694,120508,128064,135379,142384,149095,155811,161964,168004,173781,179287,184564,189406,194181,198919,203272,207331,211361,215244,218986,222545,225950,229196,232302,235392,238270,241055,243712,246354,248857,251288,253586,255926,258024,260098,262138,264058,265966,267702,269424,271090,272661,274211,275717,277235,278581,279933,281337,282603,283818,285018,286204,287313,288416,289477,290467,291482,292399,293265,294146,295007,295870,296684,297443,298191,298946,299606,300270,300952,301598,302237,302860,303432,303986,304563,305123,305660,306193,306678,307145,307632,308063,308523,308925,309319,309752,310130,310550,310939,311285,311655,311939,312276,312595,312907,313215,313472,313766,314067,314325,314567,314805,
18650,0,16,314,1198,2950,5856,9722,14669,20292,26485,33106,39995,46894,53875,60742,67611,74406,80992,87448,93795,99882,105943,111626,117226,122616,127815,132901,137738,142277,146782,150992,155185,159112,162845,166521,170055,173368,176612,179752,182744,185574,188370,191058,193568,195930,198326,200606,202727,204906,206899,208876,210789,212641,214367,216065,217725,219296,220801,222264,223666,225090,226442,227758,229007,230245,231438,232647,233720,234830,235902,236934,237922,238848,239729,240651,241441,242292,243063,243859,244592,245295,246032,246780,247409,248057,248696,249337,249931,250533,251131,251707,252222,252735,253212,253727,254182,254641,255100,255530,255945,256368,256739,257123,257524,257879,258221,258560,258908,259245,259563,259887,260177,260482,260778,261065,261352,261618,261905,262168,
18660,0,3,83,360,1121,2421,4389,7053,10430,14355,18605,23206,27991,33049,38112,43164,48276,53381,58415,63277,68108,72863,77486,81964,86256,90535,94613,98579,102492,106231,109800,113332,116652,119849,122986,126039,128976,131878,134504,137164,139652,142056,144354,146623,148733,150879,152898,154887,156795,158721,160480,162208,163899,165531,167059,168498,169953,171332,172670,173976,175221,176420,177672,178755,179865,180998,182054,183147,184137,185074,186005,186907,187789,188639,189454,190222,191005,191744,192482,193169,193835,194509,195168,195831,196478,197114,197696,198254,198808,199357,199904,200390,200903,201390,201881,202334,202768,203216,203592,204002,204383,204788,205196,205558,205874,206193,206509,206842,207148,207426,207720,208012,208271,208560,208794,209038,209261,209513,209752,
18670,0,1,10,70,254,683,1484,2680,4246,6100,8361,10951,13697,16768,19902,23265,26651,30106,33491,37000,40368,43669,47056,50295,53560,56761,59832,62920,65875,68775,71539,74259,76940,79530,81996,84522,86935,89275,91520,93640,95818,97973,99878,101776,103620,105356,106996,108730,110333,111945,113390,114774,116229,117537,118884,120150,121390,122581,123763,124892,126002,127068,128075,129095,130068,131059,131981,132820,133654,134531,135368,136194,137014,137739,138451,139154,139823,140478,141114,141782,142375,143010,143557,144133,144708,145253,145841,146347,146815,147269,147755,148194,148625,149018,149451,149894,150300,150686,151036,151373,151731,152076,152409,152722,153015,153300,153600,153891,154157,154444,154741,154983,155250,155491,155727,155958,156194,156428,156654,
18680,0,0,0,5,32,114,287,571,1083,1728,2539,3550,4683,5993,7424,9023,10674,12450,14312,16206,18181,20087,22097,24085,26022,27944,29937,31867,33864,35764,37637,39529,41337,43118,44820,46486,48169,49784,51346,52882,54362,55780,57238,58643,59987,61255,62513,63799,64966,66151,67300,68417,69553,70637,71695,72705,73665,74608,75539,76501,77388,78324,79150,79920,80682,81394,82141,82859,83540,84229,84893,85530,86145,86733,87380,87970,88576,89119,89665,90180,90722,91241,91725,92256,92751,93209,93644,94010,94413,94829,95254,95636,96029,96385,96742,97069,97403,97693,97982,98281,98580,98854,99163,99418,99669,99924,100145,100417,100652,100875,101108,101353,101574,101812,102026,102218,102399,102587,102783,
186996062,343545,542308,687918,797582,882295,950236,1005401,1051564,1090404,1123601,1152550,1177732,1200058,1219778,1237248,1253041,1267307,1280096,1291863,1302663,1312470,1321707,1330174,1337991,1345234,1351971,1358208,1364122,1369760,1374880,1379627,1384078,1388405,1392409,1396183,1399670,1402974,1406244,1409164,1411999,1414709,1417274,1419728,1422079,1424337,1426461,1428455,1430395,1432255,1434067,1435723,1437306,1438835,1440268,1441633,1443034,1444329,1445553,1446706,1447815,1448915,1449914,1450910,1451900,1452830,1453681,1454542,1455354,1456141,1456916,1457649,1458370,1459084,1459715,1460350,1461001,1461619,1462215,1462826,1463374,1463888,1464395,1464911,1465403,1465848,1466294,1466719,1467127,1467530,1467893,1468313,1468686,1469025,1469379,1469704,1470044,1470358,1470651,1470952,1471235,1471496,1471784,1472051,1472287,1472533,1472766,1472981,1473205,1473440,1473651,1473864,1474079,1474296,1474470,1474650,1474836,1475013,1475188,1475377,
187035143,192789,354880,486344,590187,673934,742301,798868,846661,888007,923407,953841,981316,1005328,1026823,1045888,1063182,1078974,1093121,1106066,1117792,1128877,1138775,1148031,1156799,1164945,1172389,1179378,1185896,1192057,1197783,1203212,1208278,1212962,1217432,1221657,1225623,1229453,1233091,1236442,1239661,1242701,1245625,1248272,1250962,1253418,1255837,1258086,1260286,1262413,1264391,1266354,1268163,1269907,1271526,1273091,1274622,1276054,1277438,1278817,1280084,1281320,1282450,1283626,1284768,1285826,1286847,1287863,1288794,1289696,1290597,1291479,1292324,1293118,1293887,1294661,1295403,1296103,1296753,1297427,1298049,1298661,1299204,1299689,1300290,1300820,1301344,1301784,1302228,1302682,1303146,1303595,1304034,1304413,1304828,1305211,1305586,1305954,1306260,1306576,1306880,1307193,1307514,1307831,1308097,1308388,1308664,1308931,1309180,1309412,1309663,1309908,1310151,1310358,1310556,1310774,1310984,1311167,1311354,1311541,
187116750,127164,261703,379436,476865,557123,624039,680192,727916,769608,805537,837218,865322,890003,912128,932104,950133,966512,981346,994957,1007354,1018811,1029382,1039169,1048232,1056737,1064632,1071977,1078910,1085569,1091615,1097134,1102461,1107439,1112068,1116579,1120831,1124916,1128735,1132332,1135798,1139007,1142056,1145001,1147794,1150518,1153024,1155587,1157838,1160112,1162194,1164251,1166126,1167932,1169701,1171375,1172933,1174476,1175999,1177326,1178697,1180006,1181272,1182532,1183752,1184867,1185968,1187088,1188071,1189093,1190076,1190926,1191826,1192726,1193514,1194282,1195025,1195771,1196503,1197202,1197873,1198496,1199122,1199697,1200274,1200835,1201390,1201908,1202414,1202873,1203332,1203752,1204181,1204631,1205048,1205477,1205876,1206260,1206611,1206973,1207344,1207671,1208022,1208298,1208594,1208896,1209179,1209457,1209739,1210005,1210226,1210470,1210707,1210926,1211138,1211366,1211592,1211823,1212026,1212229,
18726241,73891,175782,274610,361480,436171,499260,553536,600445,641328,677196,708824,736854,762027,784364,804679,823236,839883,855210,869299,882191,894118,905122,915395,924797,933524,941682,949457,956622,963397,969760,975794,981380,986628,991583,996352,1000771,1005025,1009043,1012852,1016531,1019995,1023276,1026445,1029540,1032403,1035115,1037731,1040187,1042552,1044826,1046983,1049126,1051084,1052920,1054705,1056488,1058169,1059801,1061323,1062900,1064324,1065654,1066995,1068211,1069378,1070516,1071681,1072803,1073933,1074923,1075869,1076816,1077681,1078530,1079389,1080245,1081051,1081783,1082522,1083210,1083891,1084610,1085229,1085822,1086477,1087059,1087643,1088160,1088672,1089152,1089636,1090092,1090567,1091009,1091456,1091894,1092258,1092629,1093013,1093405,1093773,1094113,1094453,1094764,1095091,1095385,1095693,1095985,1096284,1096556,1096848,1097094,1097357,1097594,1097850,1098096,1098314,1098551,1098740,
18731586,34878,102466,177496,248753,313281,369692,419732,463634,502544,537013,567445,594932,619851,642121,662195,680515,697622,713118,727471,740846,753222,764574,775147,784823,793923,802464,810340,817736,824865,831466,837559,843387,849049,854144,859097,863793,868240,872510,876440,880237,883769,887294,890514,893560,896558,899396,902127,904781,907272,909629,911946,914253,916362,918311,920232,921996,923750,925481,927101,928708,930169,931592,932988,934380,935686,936902,938108,939256,940372,941403,942443,943404,944374,945276,946221,947066,947957,948797,949557,950261,951010,951760,952422,953064,953652,954280,954874,955451,956006,956572,957088,957607,958093,958556,959016,959514,959936,960389,960799,961225,961618,962010,962355,962674,963010,963349,963690,963991,964304,964610,964919,965195,965489,965770,966035,966268,966538,966792,967006,
1874675,21548,72421,133829,195732,253104,305170,351591,393387,430650,463577,493535,520323,544643,566693,586818,605041,621927,637510,651688,664920,677135,688589,698915,708658,717899,726499,734560,742165,749427,756065,762477,768531,774014,779242,784248,788984,793459,797752,801877,805837,809395,812856,816213,819430,822418,825308,828133,830836,833462,835968,838337,840600,842781,844793,846824,848626,850407,852131,853788,855372,856972,858461,859845,861197,862517,863747,864981,866193,867344,868419,869475,870459,871476,872414,873390,874242,875128,875996,876769,877564,878339,879066,879779,880429,881112,881740,882337,882934,883507,884046,884629,885191,885719,886191,886693,887132,887596,888009,888416,888833,889208,889564,889915,890256,890640,890960,891314,891679,892002,892296,892616,892910,893208,893513,893769,894030,894313,894557,894773,
1875230,12016,47372,95629,147199,196944,243463,286017,324043,358642,389963,418286,443721,467371,488982,508589,526637,543215,558184,572503,585636,597646,608857,619508,629388,638669,647249,655458,662974,670142,676924,683400,689484,695240,700543,705606,710376,714946,719325,723364,727253,730963,734506,737839,741026,744104,747067,749868,752609,755155,757605,759955,762159,764337,766414,768435,770300,772205,773940,775561,777245,778881,780342,781798,783183,784550,785917,787120,788334,789540,790663,791772,792752,793770,794757,795696,796615,797469,798352,799154,799985,800750,801517,802252,802925,803599,804249,804873,805435,806023,806575,807132,807691,808202,808726,809210,809690,810161,810630,811080,811502,811903,812272,812666,813056,813392,813761,814103,814433,814729,815056,815394,815702,816020,816339,816631,816897,817150,817388,817636,
187669,5855,27845,62528,102455,143518,183336,220603,254976,286593,315507,341625,365955,388255,408510,427496,444848,460985,476043,489851,502576,514327,525509,535789,545344,554501,562977,571160,578742,585908,592464,598714,604825,610615,615994,620926,625699,630341,634585,638698,642567,646336,650045,653449,656673,659764,662670,665588,668263,670899,673328,675743,678014,680249,682330,684344,686253,688102,689989,691771,693443,695070,696604,698036,699447,700869,702238,703486,704721,705959,707049,708160,709211,710247,711223,712181,713105,714017,714891,715765,716560,717321,718076,718810,719490,720202,720873,721530,722140,722768,723345,723925,724489,725025,725536,726036,726535,726975,727419,727855,728254,728662,729067,729437,729852,730220,730597,730960,731282,731642,731955,732265,732576,732871,733173,733439,733720,733972,734200,734443,
187717,2345,14486,37027,65735,97438,129378,160214,189605,217079,242943,266624,288786,309067,327901,345436,361604,376599,390544,403693,416019,427428,438241,448305,457666,466638,474916,482730,490129,497068,503532,509656,515512,521146,526395,531406,536124,540765,545150,549222,553169,556975,560544,563974,567381,570568,573490,576297,579012,581564,584104,586435,588718,590922,593060,595018,597009,598798,600612,602328,603957,605626,607178,608674,610153,611529,612806,614034,615265,616494,617690,618855,619967,620998,621993,622978,623869,624786,625632,626526,627355,628230,628996,629718,630453,631164,631815,632447,633100,633688,634289,634896,635480,636062,636616,637111,637605,638068,638570,639042,639496,639921,640339,640692,641088,641498,641853,642233,642597,642958,643291,643607,643919,644244,644563,644842,645125,645388,645679,645931,
18781,1184,8746,24984,47552,73357,100120,126952,153044,177280,200318,222007,242301,261225,278880,295227,310537,324937,338489,351033,362770,373619,383971,393835,403065,411673,419776,427539,434815,441581,447999,454150,459912,465347,470663,475458,480174,484657,488915,493090,496903,500588,504081,507408,510698,513778,516759,519437,522133,524670,527177,529619,531918,534133,536304,538348,540306,542264,544080,545843,547535,549181,550767,552252,553693,555070,556346,557657,558841,560115,561267,562335,563421,564472,565497,566408,567362,568256,569119,570000,570864,571710,572473,573233,573961,574674,575363,576026,576674,577325,577927,578550,579117,579652,580154,580644,581156,581623,582109,582548,582969,583408,583840,584227,584612,584998,585402,585783,586092,586467,586824,587160,587460,587775,588096,588378,588643,588895,589204,589450,
18791,484,4884,15814,32111,52075,73935,96171,118185,139651,160270,179454,197760,214942,231103,246233,260617,273913,286371,298287,309548,319820,329528,338922,347760,355997,363836,371225,378166,384797,390929,396997,402810,408162,413275,418042,422627,426948,431089,435060,438952,442649,446021,449390,452636,455647,458637,461357,464013,466525,468975,471271,473582,475699,477758,479816,481748,483606,485390,487077,488772,490319,491818,493328,494871,496304,497623,498914,500183,501394,502587,503711,504840,505859,506917,507992,508969,509909,510769,511617,512428,513213,513950,514687,515416,516155,516844,517532,518200,518815,519381,519994,520553,521077,521623,522180,522665,523159,523655,524098,524532,524937,525349,525748,526188,526578,526938,527315,527670,527978,528330,528668,528990,529255,529573,529868,530186,530461,530743,530975,
18800,190,2456,9080,20275,34943,51673,69527,87692,105518,123288,140128,156083,171601,186222,200030,213104,225413,236966,247793,258102,267759,277135,285785,294033,301708,309062,316036,322619,328887,334940,340841,346092,351283,356142,360815,365305,369526,373580,377467,381051,384545,387947,391230,394405,397275,400140,402913,405546,408121,410487,412815,414978,417223,419234,421174,423058,424847,426619,428277,429898,431500,433032,434548,435944,437355,438739,440057,441269,442463,443588,444661,445727,446753,447769,448741,449709,450622,451569,452451,453273,454098,454877,455626,456316,457045,457733,458391,459018,459628,460241,460817,461433,461956,462461,462976,463468,463910,464391,464844,465299,465768,466224,466591,467006,467398,467786,468149,468524,468884,469213,469539,469861,470177,470449,470727,471003,471293,471572,471819,
18810,57,1021,4598,11358,21076,32904,46297,60360,74622,88866,103098,116577,129510,142083,153974,165653,176332,186755,196497,205796,214650,223016,231129,238690,245960,252885,259490,265783,271726,277362,282710,287855,292677,297383,301798,305960,310003,313918,317643,321098,324477,327721,330798,333852,336638,339458,342101,344641,347023,349360,351586,353709,355850,357868,359778,361610,363424,365110,366721,368287,369828,371363,372775,374184,375553,376892,378245,379467,380626,381754,382886,383960,384995,386012,386983,387906,388784,389628,390455,391232,392005,392753,393483,394202,394905,395562,396234,396872,397516,398146,398703,399297,399835,400362,400864,401340,401827,402304,402728,403189,403654,404078,404508,404904,405282,405646,406029,406362,406728,407042,407387,407713,408016,408303,408602,408850,409137,409400,409683,
18820,13,338,1874,5585,11246,18717,27797,37842,48357,59113,70185,80969,91673,102027,111984,121495,130775,139525,148138,156371,164132,171633,178800,185643,192118,198297,204124,209860,215281,220320,225057,229679,234092,238313,242485,246397,250046,253710,257214,260457,263658,266556,269476,272287,275013,277621,280173,282584,284890,287133,289209,291313,293279,295155,297033,298834,300498,302107,303793,305288,306827,308289,309705,310983,312257,313509,314713,315809,316916,317928,318899,319900,320932,321876,322779,323679,324521,325390,326192,326997,327744,328454,329134,329850,330524,331204,331895,332515,333125,333758,334337,334890,335402,335896,336403,336849,337323,337791,338225,338695,339126,339521,339935,340325,340701,341037,341399,341729,342052,342372,342669,342987,343297,343584,343868,344147,344409,344670,344916,
18830,4,128,794,2536,5678,10308,16262,23059,30626,38567,46774,54945,63170,71318,79422,87303,95119,102527,109602,116375,123011,129493,135734,141604,147261,152846,158123,163117,167919,172502,176962,181170,185255,189064,192792,196344,199797,203069,206197,209153,212151,214997,217718,220389,222934,225298,227705,229911,232066,234155,236165,238091,239973,241732,243426,245042,246641,248183,249724,251149,252568,253887,255198,256442,257675,258899,260017,261125,262172,263202,264196,265190,266148,267039,267922,268766,269568,270430,271238,271960,272684,273419,274115,274742,275380,276038,276687,277306,277883,278423,278953,279480,279998,280512,281013,281458,281918,282384,282780,283227,283643,284008,284375,284722,285082,285440,285764,286081,286390,286684,287014,287292,287594,287883,288145,288390,288653,288892,289139,
18840,1,24,209,845,2196,4545,7768,11917,16683,21977,27582,33492,39482,45458,51465,57570,63474,69360,75122,80693,86186,91387,96614,101527,106265,110968,115419,119593,123675,127744,131568,135272,138792,142152,145416,148590,151639,154650,157509,160164,162854,165349,167800,170073,172344,174491,176580,178662,180552,182442,184263,185965,187659,189358,190934,192452,193885,195290,196713,197952,199279,200492,201664,202826,203988,205131,206183,207242,208228,209221,210092,210985,211895,212729,213578,214364,215147,215895,216592,217260,217928,218595,219262,219913,220502,221062,221663,222247,222799,223345,223830,224344,224795,225277,225766,226232,226667,227093,227516,227923,228298,228678,229037,229409,229749,230063,230390,230705,231021,231325,231616,231897,232186,232432,232709,232958,233208,233467,233674,
18850,0,1,25,188,659,1579,2934,4876,7167,9927,13126,16541,20226,24081,27850,31994,36120,40250,44338,48390,52322,56233,60052,63706,67328,71022,74426,77749,81029,84192,87318,90290,93243,96026,98709,101317,103831,106296,108648,110980,113275,115414,117381,119307,121236,123024,124812,126501,128150,129805,131348,132991,134451,135829,137224,138572,139810,141005,142232,143378,144545,145644,146686,147702,148636,149594,150575,151490,152368,153260,154100,154913,155693,156475,157184,157879,158597,159269,159896,160541,161145,161718,162306,162866,163422,163953,164482,165034,165555,166042,166501,166947,167429,167853,168310,168707,169087,169456,169809,170167,170532,170867,171199,171534,171834,172146,172433,172726,173035,173308,173574,173825,174074,174329,174571,174816,175041,175270,175493,
18860,0,0,5,22,92,266,602,1153,1931,3003,4262,5729,7405,9238,11159,13288,15460,17734,20118,22509,24848,27163,29533,31944,34171,36417,38687,40909,43065,45237,47388,49463,51494,53487,55426,57268,59115,60878,62590,64294,65974,67575,69070,70578,72019,73384,74757,76090,77416,78670,79952,81155,82298,83455,84533,85582,86576,87615,88560,89504,90422,91323,92166,92981,93797,94558,95338,96046,96812,97538,98211,98860,99490,100133,100769,101390,102006,102548,103093,103658,104163,104610,105117,105621,106123,106564,107003,107458,107863,108283,108712,109097,109482,109816,110160,110482,110807,111147,111503,111807,112131,112436,112730,113024,113314,113592,113850,114118,114373,114618,114865,115094,115333,115537,115768,115961,116183,116361,116569,
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1894197,10287,41072,83780,129737,175059,217376,256137,291332,323639,352144,378528,402336,424041,444375,462949,479912,495538,509916,523144,535483,547018,557768,567748,577041,585675,593800,601440,608586,615384,621827,627849,633626,639045,644266,649133,653807,658166,662293,666275,670123,673653,677133,680526,683600,686423,689187,691903,694381,696876,699300,701639,703765,705912,707937,709853,711655,713397,715132,716816,718385,719936,721408,722861,724208,725524,726767,727948,729155,730323,731409,732449,733437,734470,735420,736327,737256,738114,739012,739859,740653,741360,742066,742786,743445,744079,744733,745330,745906,746512,747077,747645,748149,748694,749166,749623,750069,750540,750967,751394,751769,752136,752514,752884,753259,753593,753928,754285,754595,754938,755242,755552,755867,756124,756438,756699,756994,757251,757477,757711,
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189620,2497,14895,36933,65023,95656,125843,155023,183029,209131,233246,255791,276651,295937,313726,330068,345415,359766,373051,385616,397202,408042,418056,427469,436543,445126,453119,460496,467561,474202,480463,486439,492013,497416,502520,507222,511800,516148,520216,524105,527786,531275,534725,538068,541175,544120,546916,549759,552388,554794,557188,559512,561668,563796,565828,567784,569580,571346,573115,574803,576397,577970,579509,580943,582319,583682,584959,586220,587408,588569,589660,590737,591849,592821,593831,594747,595637,596526,597414,598268,599095,599848,600624,601303,601977,602682,603309,603931,604507,605104,605694,606265,606856,607359,607859,608369,608814,609293,609748,610172,610599,611010,611389,611780,612158,612494,612837,613170,613531,613860,614211,614525,614835,615122,615411,615700,615973,616255,616488,616753,
18975,1202,8902,24642,46052,70344,95953,121016,145333,168575,190473,210857,230001,248140,264764,280081,294537,308197,320728,332550,343655,354022,363776,372920,381541,389769,397392,404655,411438,417984,423977,429776,435348,440512,445530,450237,454778,459058,463052,466873,470493,474050,477319,480516,483660,486611,489536,492204,494709,497107,499480,501759,504040,506252,508308,510167,511972,513888,515589,517171,518774,520314,521889,523321,524802,526113,527457,528779,529979,531136,532228,533352,534373,535364,536347,537271,538166,539059,539877,540667,541524,542319,543048,543804,544455,545149,545844,546470,547078,547675,548261,548807,549349,549900,550431,550934,551438,551923,552370,552803,553218,553668,554043,554418,554816,555160,555543,555917,556237,556562,556904,557232,557531,557798,558089,558399,558685,558967,559224,559456,
18980,540,4681,14871,30134,48835,69280,89965,110463,130448,149695,167853,184847,201157,216449,230656,244100,256782,268694,279793,290336,300037,309241,317957,326118,333833,341297,348235,354750,360959,366750,372344,377760,382800,387594,392136,396503,400708,404774,408510,412176,415685,418967,422270,425293,428217,430997,433725,436208,438624,440992,443210,445297,447373,449349,451313,453201,454988,456668,458293,459838,461404,462881,464285,465682,467064,468370,469677,470898,472077,473196,474277,475350,476365,477306,478236,479175,480068,480975,481818,482613,483414,484124,484840,485567,486271,486902,487539,488144,488738,489298,489887,490448,490986,491504,492005,492507,492976,493399,493852,494318,494751,495131,495552,495927,496292,496629,496968,497317,497611,497931,498239,498532,498800,499067,499350,499642,499917,500175,500431,
18990,192,2133,7959,17854,30659,45756,61991,78222,94702,110876,126469,141034,155014,168337,181023,193034,204424,214973,225075,234658,243744,252270,260287,267988,275358,282125,288696,294836,300777,306419,311699,316740,321505,326153,330448,334557,338566,342466,346149,349584,352906,356199,359251,362260,365033,367749,370314,372770,375176,377406,379634,381720,383722,385740,387651,389469,391154,392832,394429,396015,397514,399015,400421,401791,403065,404344,405558,406790,407918,409019,410068,411084,412058,413040,413980,414885,415735,416611,417431,418266,419046,419735,420458,421121,421772,422422,423100,423718,424320,424973,425520,426051,426580,427065,427566,428049,428515,428986,429440,429878,430305,430717,431125,431488,431853,432202,432558,432883,433220,433540,433842,434133,434410,434725,435014,435273,435558,435778,436050,
19000,45,811,3654,9280,17391,27505,38902,50980,63372,76048,88427,100591,112213,123250,134003,144433,154120,163387,172471,180939,189132,196931,204325,211305,217836,224197,230226,235830,241192,246346,251216,255892,260462,264720,268852,272791,276551,280051,283367,286584,289730,292790,295657,298423,301175,303773,306264,308613,310884,313017,315067,317090,318979,320878,322617,324339,326082,327710,329238,330787,332278,333646,335069,336388,337674,338949,340097,341202,342339,343408,344394,345376,346342,347309,348231,349035,349858,350652,351432,352241,352990,353704,354381,355083,355729,356402,357012,357616,358184,358777,359316,359885,360380,360860,361346,361823,362271,362769,363190,363618,364023,364431,364837,365226,365566,365889,366240,366602,366945,367284,367581,367903,368197,368468,368730,368984,369236,369517,369792,
19010,12,262,1476,4422,9199,15461,23307,31976,41209,50695,60388,69867,79212,88349,97333,105986,114260,122143,129863,137276,144330,151083,157625,163876,169864,175486,180983,186064,191137,195806,200306,204688,208828,212685,216439,220100,223562,226872,230067,233138,236084,238860,241541,244201,246724,249165,251556,253703,255913,257999,259992,261962,263844,265616,267325,268950,270523,272130,273611,275053,276466,277838,279170,280459,281664,282838,283959,285083,286193,287176,288114,289092,290026,290876,291747,292585,293382,294137,294905,295699,296444,297160,297841,298529,299149,299773,300410,301002,301576,302132,302646,303146,303610,304106,304624,305081,305509,305966,306422,306823,307210,307604,307959,308349,308714,309061,309383,309715,310040,310339,310643,310942,311247,311538,311783,312048,312290,312546,312789,
19020,1,63,501,1725,4087,7583,12075,17480,23553,30059,36951,44081,51082,58070,64751,71416,78129,84607,90856,96906,102740,108341,113665,118881,123936,128843,133457,137830,142103,146225,150194,153965,157631,161107,164440,167626,170708,173642,176569,179291,181929,184501,186917,189259,191587,193821,195978,198063,200100,201983,203780,205547,207265,208873,210396,211966,213431,214922,216288,217605,218887,220187,221396,222530,223637,224703,225774,226925,227889,228866,229785,230711,231585,232479,233284,234114,234923,235649,236390,237085,237745,238425,239104,239720,240338,240933,241543,242133,242661,243175,243690,244172,244657,245097,245538,245987,246423,246866,247273,247682,248066,248409,248744,249122,249480,249820,250137,250451,250735,251027,251325,251615,251895,252150,252413,252675,252919,253161,253400,
19030,0,4,81,451,1272,2689,4711,7358,10616,14399,18512,22772,27293,32003,36628,41359,46076,50630,55091,59672,63909,68148,72370,76357,80374,84215,87887,91546,95090,98461,101711,104819,107857,110709,113485,116286,118935,121456,123855,126185,128504,130716,132851,134887,136900,138816,140654,142414,144062,145715,147370,148901,150398,151881,153294,154667,155941,157244,158499,159627,160769,161925,162983,164050,165078,166070,167100,167997,168875,169760,170572,171378,172164,172947,173685,174391,175144,175812,176508,177151,177765,178381,178992,179554,180111,180678,181205,181736,182236,182707,183168,183644,184091,184528,184960,185398,185798,186176,186556,186913,187264,187635,187965,188287,188605,188898,189224,189545,189829,190086,190336,190612,190865,191148,191366,191610,191856,192097,192313,
19040,0,1,5,51,166,464,1020,1909,3090,4540,6263,8270,10465,12778,15240,17780,20418,23086,25804,28623,31316,34126,36768,39437,42109,44654,47163,49756,52175,54522,56854,59051,61207,63347,65407,67419,69376,71303,73148,74938,76660,78363,79946,81540,83068,84552,86014,87447,88811,90190,91476,92748,93945,95181,96322,97373,98474,99497,100513,101497,102486,103391,104271,105148,105990,106809,107599,108377,109108,109768,110473,111123,111841,112469,113098,113705,114342,114877,115486,116057,116568,117125,117649,118116,118591,119063,119509,119937,120379,120806,121213,121637,121981,122360,122739,123111,123462,123773,124094,124406,124707,124982,125291,125559,125858,126143,126385,126648,126920,127171,127411,127637,127847,128073,128294,128512,128738,128950,129144,
1905139736,402694,594527,728803,828169,904619,965419,1014622,1055756,1090450,1120000,1145696,1168390,1188162,1205617,1221365,1235765,1248735,1260268,1271021,1280798,1289783,1298055,1305596,1312799,1319240,1325235,1330887,1336249,1341224,1345985,1350384,1354538,1358397,1362051,1365581,1368818,1371881,1374828,1377599,1380190,1382606,1384986,1387285,1389514,1391667,1393636,1395543,1397367,1398947,1400589,1402074,1403545,1405025,1406398,1407717,1409030,1410294,1411442,1412522,1413510,1414580,1415522,1416472,1417428,1418294,1419154,1419964,1420762,1421505,1422234,1422918,1423577,1424277,1424902,1425493,1426104,1426705,1427238,1427795,1428307,1428808,1429295,1429729,1430146,1430565,1430982,1431415,1431782,1432159,1432516,1432898,1433249,1433562,1433863,1434184,1434484,1434771,1435060,1435345,1435600,1435878,1436127,1436368,1436615,1436860,1437086,1437315,1437518,1437713,1437902,1438110,1438313,1438510,1438676,1438840,1439000,1439167,1439333,1439501,
190662527,252747,418761,545400,642342,719011,781298,832624,875699,912502,944220,971671,996025,1017283,1036426,1053438,1068946,1082991,1095683,1107375,1118061,1127868,1136815,1145340,1153008,1160384,1167091,1173284,1179194,1184825,1189979,1194781,1199334,1203637,1207721,1211382,1215013,1218498,1221746,1224821,1227642,1230414,1233055,1235609,1238058,1240304,1242520,1244625,1246607,1248540,1250444,1252129,1253778,1255330,1256908,1258340,1259811,1261158,1262426,1263648,1264802,1265994,1267055,1268113,1269157,1270127,1271083,1271991,1272881,1273698,1274537,1275338,1276107,1276870,1277585,1278233,1278879,1279536,1280180,1280789,1281358,1281941,1282485,1282972,1283481,1283952,1284442,1284946,1285341,1285774,1286170,1286566,1286965,1287314,1287686,1288027,1288389,1288750,1289070,1289402,1289670,1289972,1290281,1290541,1290825,1291113,1291346,1291616,1291857,1292098,1292353,1292591,1292833,1293047,1293238,1293436,1293636,1293802,1293992,1294161,
190735864,181965,328310,446109,539647,615151,677114,728497,771615,809309,841627,869837,894652,917048,936669,954371,970314,984850,997994,1010260,1021234,1031575,1040951,1049635,1057638,1065150,1072192,1078660,1084956,1090901,1096446,1101470,1106284,1110938,1115174,1119131,1122912,1126619,1130110,1133435,1136412,1139336,1142120,1144836,1147402,1149823,1152133,1154339,1156472,1158464,1160465,1162267,1164006,1165728,1167323,1168853,1170359,1171764,1173132,1174462,1175727,1176917,1178061,1179168,1180247,1181281,1182322,1183296,1184303,1185200,1186031,1186818,1187635,1188486,1189200,1189924,1190634,1191294,1191960,1192630,1193273,1193852,1194389,1194952,1195488,1195982,1196461,1196965,1197400,1197848,1198278,1198675,1199078,1199489,1199887,1200262,1200654,1201015,1201371,1201752,1202061,1202391,1202683,1202978,1203234,1203557,1203823,1204098,1204355,1204611,1204850,1205102,1205325,1205573,1205778,1206012,1206220,1206397,1206593,1206768,
190816918,118635,238873,343953,430829,502354,562466,613052,655974,693500,725935,754618,780169,802948,823417,841565,858033,873176,886952,899716,911224,921951,931896,940976,949478,957492,964853,971739,978251,984387,989956,995280,1000375,1005201,1009650,1013871,1017862,1021760,1025432,1028868,1032104,1035239,1038223,1041098,1043845,1046351,1048783,1051105,1053269,1055370,1057422,1059361,1061223,1063015,1064702,1066347,1067858,1069404,1070860,1072285,1073572,1074857,1076020,1077231,1078350,1079455,1080499,1081509,1082514,1083444,1084439,1085276,1086136,1086940,1087758,1088532,1089272,1090003,1090726,1091403,1092069,1092688,1093291,1093866,1094477,1095047,1095577,1096097,1096562,1097049,1097480,1097962,1098413,1098843,1099264,1099675,1100083,1100445,1100802,1101147,1101490,1101817,1102120,1102441,1102749,1103032,1103324,1103604,1103874,1104148,1104381,1104621,1104844,1105095,1105316,1105540,1105756,1106000,1106193,1106386,
19095982,66250,155310,241490,317454,382903,438920,486746,528387,564952,597348,626008,651258,673937,694423,712887,729905,745381,759758,772679,784515,795627,805850,815266,823856,831906,839644,846879,853505,859690,865517,871119,876495,881460,886258,890700,894850,898843,902704,906279,909666,912881,915961,918985,921729,924367,927010,929466,931769,934089,936257,938355,940322,942236,944040,945741,947420,949092,950654,952112,953525,954977,956257,957535,958781,959981,961073,962162,963188,964180,965173,966089,967002,967859,968725,969547,970411,971133,971849,972587,973299,973982,974661,975275,975906,976517,977056,977598,978119,978619,979076,979554,980023,980453,980906,981341,981771,982149,982538,982943,983321,983662,983996,984341,984643,984981,985264,985523,985829,986110,986375,986619,986898,987123,987375,987624,987869,988068,988270,988475,
19103032,44982,117876,193060,262081,322868,375709,421597,462240,497658,529006,557348,582261,604822,624940,643441,660330,675834,690019,703118,715271,726340,736773,746290,755313,763599,771199,778394,785198,791810,797860,803557,808914,813967,818764,823383,827648,831766,835701,839383,842984,846357,849500,852593,855436,858054,860658,863149,865589,867881,870067,872195,874312,876273,878152,879951,881603,883273,884869,886342,887785,889181,890564,891857,893133,894325,895429,896502,897639,898664,899687,900655,901606,902499,903416,904223,904975,905751,906569,907281,908068,908773,909473,910111,910709,911318,911871,912454,913018,913564,914059,914537,915025,915525,915985,916398,916806,917199,917579,917968,918359,918707,919027,919382,919728,920026,920353,920644,920916,921206,921532,921795,922071,922340,922609,922880,923134,923349,923575,923793,
19111342,28224,83944,146706,207214,261774,310745,354264,392758,426989,457276,484236,508827,530845,551127,569213,585934,601415,615594,628785,640845,651988,662638,672286,681419,689759,697692,705093,711944,718354,724593,730356,735867,741013,745807,750478,754856,759038,763049,766796,770346,773691,776891,780067,783064,785828,788501,790972,793473,795786,797963,800158,802259,804263,806175,808054,809706,811436,813035,814513,815997,817483,818943,820291,821542,822747,823981,825146,826241,827297,828277,829263,830161,831115,832042,832973,833792,834585,835362,836059,836836,837554,838316,838954,839565,840184,840768,841315,841905,842478,843028,843511,844001,844471,844946,845362,845849,846269,846655,847042,847443,847817,848159,848532,848882,849240,849600,849881,850189,850496,850793,851092,851348,851604,851877,852118,852347,852590,852813,853044,
1912515,15978,55232,104934,155378,203201,246682,286338,322292,354242,382939,408952,432547,454174,473688,491767,508064,523365,537323,550341,562558,573570,584041,593723,602561,610953,618809,626339,633298,639963,646122,651987,657505,662739,667547,672145,676562,680683,684646,688476,692031,695531,698831,701986,704850,707671,710499,713063,715491,717789,720182,722294,724323,726353,728309,730176,731926,733587,735256,736799,738334,739840,741253,742632,743936,745182,746395,747578,748786,749834,750857,751870,752846,753750,754640,755560,756398,757275,758134,758881,759618,760319,761044,761731,762376,762970,763582,764170,764760,765294,765830,766367,766877,767356,767851,768304,768698,769144,769579,770006,770398,770773,771162,771528,771890,772250,772596,772955,773234,773540,773873,774153,774432,774675,774939,775218,775509,775765,776000,776215,
1913138,7764,32625,68435,108005,147841,185487,219944,251895,280926,307688,331887,354144,374332,392943,410002,425876,440489,454114,466815,478418,489210,499227,508814,517668,526016,533598,540857,547889,554438,560720,566409,571774,577117,582076,586842,591366,595557,599553,603332,607000,610516,613779,616903,619758,622727,625470,628187,630777,633165,635521,637700,639841,641842,643807,645725,647602,649390,651068,652666,654207,655738,657204,658579,659927,661178,662367,663587,664732,665857,666909,668006,669035,669973,670963,671869,672756,673571,674395,675198,675964,676689,677365,678067,678682,679307,679925,680493,681097,681667,682209,682731,683245,683791,684271,684708,685177,685630,686068,686475,686890,687292,687663,688040,688402,688729,689096,689415,689749,690094,690392,690665,690986,691239,691533,691805,692095,692346,692587,692811,
191452,4468,22029,49609,82437,116647,149564,180461,209380,236541,261447,284364,305384,324908,342683,359207,374666,388766,401907,414343,425778,436466,446430,455793,464391,472657,480232,487327,494189,500620,506775,512407,517835,523150,528068,532622,536921,541204,545166,548911,552555,556026,559317,562428,565445,568449,571126,573730,576236,578609,580985,583135,585368,587399,589446,591298,593090,594888,596601,598203,599781,601290,602783,604235,605592,606926,608117,609308,610489,611621,612716,613747,614778,615761,616737,617635,618499,619392,620203,620997,621779,622529,623234,623949,624585,625274,625890,626486,627057,627633,628205,628748,629280,629797,630267,630749,631194,631642,632078,632486,632874,633266,633597,633950,634284,634603,634918,635237,635591,635957,636258,636563,636863,637136,637427,637705,637963,638228,638468,638703,
191517,2328,13817,34505,60329,88301,117031,144363,170173,194682,217418,238327,257568,275734,292455,307922,322380,335836,348265,360036,371015,381207,390968,400152,408635,416684,424176,431400,438128,444421,450484,456105,461615,466753,471468,475998,480326,484471,488491,492235,495844,499256,502514,505660,508663,511496,514431,517073,519574,521969,524305,526530,528663,530749,532658,534537,536330,538086,539719,541324,542903,544404,545892,547283,548724,549969,551209,552483,553676,554866,555919,556987,558019,558950,559922,560844,561714,562579,563399,564167,564978,565732,566434,567166,567817,568462,569139,569732,570285,570867,571425,571956,572501,573015,573528,573995,574463,574941,575369,575813,576221,576628,577034,577396,577739,578069,578404,578762,579081,579446,579742,580064,580326,580615,580894,581138,581382,581643,581893,582158,
19161,1044,7809,21904,41107,63070,86350,109362,131583,152999,173492,192535,210235,226883,242382,256681,270454,283167,294984,306154,316473,326239,335403,343982,352215,359826,367029,373948,380337,386306,392098,397480,402716,407693,412483,416904,421105,425132,429091,432732,436247,439601,442848,445998,448950,451668,454389,456999,459444,461786,464057,466247,468358,470396,472373,474246,476074,477815,479522,481146,482683,484159,485592,487000,488357,489642,490857,492096,493211,494381,495471,496516,497556,498531,499484,500433,501336,502185,503067,503824,504656,505438,506186,506886,507525,508230,508939,509556,510174,510762,511366,511954,512525,512995,513474,513982,514430,514880,515341,515781,516214,516652,517023,517413,517800,518145,518462,518810,519151,519463,519777,520073,520373,520638,520918,521185,521438,521699,521966,522210,
19170,411,3837,12232,25182,41323,58950,77268,95350,113250,130679,147415,162761,177590,191523,204709,216966,228587,239540,249906,259731,268978,277657,285625,293241,300441,307196,313742,320085,325962,331429,336676,341736,346492,351054,355424,359648,363678,367395,370991,374380,377676,380823,383811,386596,389370,391956,394544,396938,399275,401468,403544,405592,407652,409606,411397,413129,414865,416471,418064,419577,421063,422527,423867,425254,426563,427842,429048,430170,431294,432396,433436,434396,435341,436292,437194,438099,438888,439670,440456,441214,441937,442667,443405,444095,444748,445402,445990,446586,447180,447780,448341,448891,449390,449880,450373,450871,451324,451791,452223,452656,453073,453469,453868,454231,454595,454931,455243,455577,455897,456218,456538,456843,457096,457388,457664,457921,458200,458450,458676,
19180,87,1428,5710,13357,23774,36144,49860,64009,78033,92009,105600,118730,131171,142957,154339,165106,175381,185058,194391,203079,211227,219223,226729,234011,240635,247031,252871,258805,264175,269297,274301,279110,283560,287874,292015,296005,299742,303239,306548,309763,312864,315921,318808,321556,324246,326785,329224,331513,333718,335822,337904,339954,341801,343719,345530,347189,348892,350459,352011,353542,354936,356324,357718,359028,360238,361426,362601,363741,364833,365883,366860,367829,368797,369775,370698,371612,372467,373233,373989,374749,375452,376145,376786,377469,378097,378713,379376,379975,380564,381113,381630,382161,382634,383109,383627,384059,384528,384934,385347,385771,386162,386591,387003,387385,387764,388100,388444,388782,389111,389410,389717,390027,390296,390588,390895,391186,391440,391670,391914,
19191,39,556,2591,6878,13307,21477,31058,41379,52109,62751,73576,84094,94577,104639,114188,123412,132150,140571,148623,156477,163866,170881,177610,184129,190324,196203,201794,207084,212188,216936,221482,225853,230026,234009,237676,241284,244689,247984,251265,254176,257148,259984,262730,265342,267857,270279,272672,274940,277139,279123,281038,283016,284824,286539,288263,289905,291556,293070,294534,295967,297309,298663,299966,301206,302437,303573,304688,305799,306833,307833,308784,309703,310627,311478,312298,313107,313896,314702,315456,316231,316937,317659,318284,318959,319589,320194,320802,321403,321957,322476,322981,323511,323983,324466,324936,325359,325844,326225,326670,327055,327451,327836,328197,328528,328896,329227,329564,329891,330189,330487,330759,331047,331313,331617,331908,332164,332422,332684,332929,
19200,2,168,901,2815,6119,10802,16689,23393,30668,38293,46327,54283,62144,69848,77465,84943,92169,99037,105668,112154,118279,124278,130016,135461,140798,145863,150595,155342,159821,164079,168079,171982,175711,179177,182633,185925,189099,192182,195145,197907,200520,203111,205734,208106,210457,212615,214685,216811,218838,220704,222542,224317,225996,227596,229199,230745,232205,233682,235111,236429,237735,239005,240245,241373,242519,243623,244657,245667,246709,247705,248644,249553,250432,251342,252108,252888,253644,254389,255040,255709,256386,257040,257679,258321,258894,259512,260112,260645,261177,261694,262210,262729,263189,263685,264114,264567,265007,265427,265817,266220,266593,266953,267296,267642,267974,268325,268607,268902,269227,269540,269855,270137,270415,270666,270884,271100,271371,271597,271838,
19210,0,25,185,779,2089,4193,7044,10568,14627,19216,24154,29143,34262,39689,45016,50245,55523,60702,65797,70706,75499,80099,84513,88886,93153,97167,101209,105005,108654,112135,115632,118795,121830,124921,127824,130716,133340,136023,138568,141026,143389,145633,147901,150020,152080,154070,155909,157722,159519,161187,162853,164413,165927,167476,168821,170248,171595,172882,174087,175199,176345,177478,178606,179670,180702,181733,182703,183656,184581,185503,186331,187129,187895,188673,189416,190092,190794,191486,192150,192771,193369,194013,194586,195160,195716,196240,196766,197286,197779,198235,198715,199141,199612,200050,200473,200891,201282,201674,202006,202369,202738,203094,203406,203735,204054,204361,204686,205001,205297,205567,205843,206107,206362,206586,206815,207052,207276,207530,207747,
19220,0,1,12,104,346,851,1738,2930,4508,6399,8603,11100,13666,16577,19444,22477,25485,28661,31763,34961,38057,41100,44004,46888,49772,52516,55234,57988,60586,63134,65625,68104,70498,72792,74929,77019,79133,81195,83174,85083,86910,88692,90284,91963,93582,95164,96691,98164,99538,100900,102220,103532,104752,105947,107082,108199,109195,110215,111251,112338,113271,114202,115125,116009,116917,117721,118533,119313,120088,120811,121577,122275,122975,123638,124269,124914,125524,126115,126694,127231,127778,128311,128848,129396,129829,130248,130702,131165,131582,132016,132429,132827,133208,133571,133917,134300,134666,134994,135341,135683,135990,136283,136607,136902,137188,137450,137718,137990,138225,138482,138744,138971,139184,139436,139650,139848,140065,140240,140447,
19236224,101853,263663,423514,563374,682137,782027,866391,937916,998960,1052028,1097754,1137504,1172256,1203026,1230543,1255050,1276706,1296367,1314186,1330411,1345052,1358402,1370685,1381942,1392285,1401844,1410707,1418629,1426050,1432930,1439305,1445249,1450822,1455885,1460770,1465307,1469554,1473577,1477236,1480641,1483917,1486870,1489789,1492559,1495178,1497637,1499979,1502182,1504272,1506198,1508046,1509881,1511614,1513314,1514787,1516225,1517582,1518852,1520071,1521225,1522347,1523439,1524443,1525415,1526310,1527269,1528121,1528893,1529715,1530464,1531142,1531852,1532603,1533258,1533892,1534489,1535017,1535543,1536066,1536556,1537002,1537463,1537870,1538288,1538693,1539076,1539459,1539821,1540160,1540485,1540803,1541108,1541398,1541671,1541968,1542210,1542458,1542710,1542956,1543185,1543403,1543610,1543807,1543973,1544178,1544373,1544541,1544723,1544916,1545059,1545204,1545348,1545467,1545604,1545745,1545860,1546021,1546131,1546254,
1924279,20365,85245,174361,268397,358673,440163,513541,578520,636114,687434,732893,773258,809150,841385,870688,896791,920735,942331,961821,979815,996111,1011467,1025073,1037888,1049602,1060391,1070469,1079884,1088394,1096526,1104089,1111212,1117712,1123847,1129506,1134741,1139786,1144556,1149013,1153167,1157254,1161000,1164624,1167940,1171199,1174217,1177104,1179814,1182430,1184847,1187146,1189303,1191408,1193281,1195077,1196791,1198551,1200171,1201741,1203168,1204586,1205909,1207203,1208480,1209636,1210746,1211805,1212853,1213900,1214790,1215635,1216519,1217316,1218065,1218855,1219549,1220248,1220956,1221624,1222214,1222800,1223399,1223949,1224494,1225018,1225524,1226019,1226453,1226891,1227300,1227693,1228042,1228417,1228774,1229183,1229520,1229846,1230176,1230505,1230813,1231079,1231367,1231630,1231877,1232126,1232373,1232596,1232816,1233020,1233194,1233386,1233590,1233780,1233952,1234111,1234275,1234449,1234595,1234752,
192535,6105,37303,91186,155762,223369,288674,349581,405491,456621,502876,545137,582871,617403,648563,676687,702138,725486,747161,766671,784610,801250,816742,830932,844038,856041,867219,877536,887210,896251,904632,912264,919722,926718,933177,939044,944636,949981,955002,959734,964156,968318,972208,975880,979437,982803,985954,988958,991942,994668,997270,999852,1002229,1004467,1006477,1008454,1010320,1012226,1013959,1015575,1017172,1018689,1020159,1021563,1022894,1024171,1025423,1026579,1027735,1028808,1029838,1030818,1031798,1032772,1033644,1034478,1035288,1036069,1036800,1037489,1038174,1038818,1039429,1040016,1040608,1041162,1041698,1042240,1042697,1043148,1043605,1044034,1044448,1044864,1045250,1045604,1045982,1046306,1046644,1047004,1047310,1047626,1047912,1048208,1048479,1048731,1048985,1049213,1049466,1049694,1049902,1050100,1050318,1050499,1050684,1050890,1051063,1051230,1051387,1051539,
19263,1324,12509,38794,77120,121431,167554,213262,257300,299102,337842,373540,406345,436890,464891,490768,514208,535816,555820,574315,591494,607319,621893,635585,648252,660210,671167,681524,691256,700199,708578,716501,723996,730916,737320,743641,749400,754903,760050,764887,769582,773953,778122,782030,785730,789205,792392,795509,798493,801328,804007,806533,808984,811321,813476,815575,817502,819428,821239,822965,824658,826278,827833,829337,830721,832085,833305,834506,835692,836794,837881,838863,839844,840729,841644,842503,843363,844138,844895,845624,846288,846966,847602,848246,848887,849473,850052,850572,851113,851623,852085,852542,853006,853454,853872,854244,854632,855039,855415,855777,856126,856455,856774,857066,857367,857654,857939,858213,858474,858731,859009,859266,859497,859733,859951,860137,860345,860528,860705,860880,
19270,163,3080,13059,30840,54877,83026,112674,143389,173548,202911,230511,256669,281334,304350,325870,346145,365261,382878,399150,414592,428720,442206,454790,466510,477500,487796,497489,506488,514971,522921,530527,537674,544354,550724,556619,562300,567600,572585,577125,581679,585941,589903,593784,597439,600813,604100,607180,610155,612881,615551,618125,620615,622924,625168,627237,629240,631166,632995,634775,636495,638105,639624,641178,642589,643926,645221,646419,647588,648712,649764,650874,651912,652926,653858,654779,655691,656527,657321,658109,658822,659556,660270,660926,661572,662217,662759,663356,663871,664393,664880,665393,665874,666313,666737,667157,667536,667901,668259,668626,668978,669321,669630,669967,670279,670581,670892,671137,671425,671666,671901,672141,672371,672592,672820,673030,673207,673379,673579,673791,
19280,66,1294,6769,17734,34051,54051,76429,100112,124651,148494,171747,194155,215563,235867,255171,273347,290283,306209,321140,335254,348542,360843,372475,383409,393726,403530,412782,421411,429454,437000,444191,450962,457359,463518,469173,474501,479590,484430,489103,493405,497434,501355,505063,508665,512075,515236,518213,521052,523821,526420,528969,531382,533628,535860,537971,539962,541882,543707,545455,547141,548696,550210,551687,553071,554399,555729,556952,558120,559304,560419,561446,562470,563433,564361,565258,566136,566932,567785,568573,569287,569953,570632,571276,571940,572570,573217,573797,574375,574899,575424,575918,576392,576831,577265,577699,578101,578520,578907,579299,579618,579959,580298,580636,580924,581201,581464,581750,582032,582294,582560,582807,583033,583262,583510,583732,583926,584119,584312,584516,
19290,15,510,3126,9469,19539,33434,49566,67418,85841,104765,123588,142082,159893,177036,193515,209112,224184,238391,251589,264287,276204,287672,298200,308334,317717,326779,335090,343023,350501,357587,364288,370713,376655,382412,387811,392817,397637,402268,406619,410766,414692,418403,422034,425410,428729,431741,434623,437428,440152,442649,445115,447418,449674,451782,453823,455716,457583,459325,461079,462743,464282,465825,467250,468650,469949,471271,472519,473687,474830,475904,476969,477961,478928,479832,480771,481598,482400,483210,483980,484733,485434,486086,486726,487385,488004,488563,489112,489622,490150,490675,491168,491674,492126,492576,492990,493381,493778,494126,494490,494849,495221,495573,495915,496255,496559,496833,497093,497369,497614,497874,498120,498350,498569,498806,499013,499240,499474,499659,499833,
19300,7,172,1268,4553,10464,18980,29852,42344,55964,70250,84893,99353,113551,127531,141190,154302,166766,178894,190315,201318,211668,221679,230977,239772,248085,256028,263729,270909,277749,284244,290471,296348,301885,307225,312310,317059,321621,326079,330176,334029,337754,341344,344647,348011,351060,353875,356725,359306,361914,364340,366670,368907,371007,373037,374913,376727,378532,380271,381938,383513,385026,386460,387845,389191,390513,391701,392859,393967,395039,396068,397030,397967,398897,399832,400692,401442,402231,403017,403697,404444,405140,405783,406456,407093,407719,408242,408821,409379,409921,410417,410906,411371,411813,412274,412680,413085,413457,413825,414169,414524,414880,415212,415516,415793,416144,416431,416687,416963,417200,417471,417707,417964,418160,418380,418580,418790,419007,419187,419349,
19310,1,48,492,1940,5048,9799,16433,24595,34003,43963,54687,65658,76531,87419,98247,108888,119163,128905,138387,147536,156468,164885,173057,180763,188206,195204,201911,208344,214510,220420,225982,231362,236406,241135,245598,249867,254028,257855,261642,265126,268465,271777,274966,277975,280666,283288,285895,288329,290768,293050,295220,297237,299182,301181,303026,304824,306510,308051,309602,311053,312550,313949,315241,316520,317735,318902,320066,321092,322141,323106,324041,324975,325852,326707,327464,328267,329011,329706,330396,331087,331771,332398,332992,333550,334128,334676,335221,335725,336246,336745,337185,337657,338030,338469,338856,339236,339574,339957,340297,340599,340928,341259,341561,341834,342089,342338,342593,342861,343099,343354,343586,343787,344010,344197,344406,344615,344792,344986,345181,
19320,1,24,235,1048,2924,6325,11008,17059,24177,31948,40447,49436,58506,67809,76679,85785,94598,103289,111669,119820,127584,134942,142104,149017,155717,161955,168048,173936,179485,184753,189865,194716,199256,203716,207869,211909,215646,219199,222719,226093,229224,232297,235207,237959,240640,243246,245723,247986,250284,252395,254453,256482,258371,260189,261911,263619,265184,266695,268176,269564,270904,272223,273493,274682,275784,276868,277998,278984,280010,280974,281914,282799,283636,284452,285232,285996,286739,287438,288070,288737,289371,289939,290538,291122,291652,292156,292680,293209,293707,294175,294594,295022,295424,295855,296210,296578,296949,297287,297597,297919,298262,298557,298844,299106,299403,299663,299938,300145,300392,300614,300850,301080,301312,301506,301684,301891,302098,302286,302467,
19330,0,4,107,540,1658,3730,6896,11034,16306,22081,28496,35502,42737,50028,57488,64776,72162,79388,86669,93633,100394,106942,113334,119550,125439,130989,136357,141577,146593,151463,156060,160496,164647,168675,172497,176284,179828,183207,186454,189617,192621,195468,198191,200834,203289,205670,207915,210051,212157,214189,216093,217936,219727,221415,223026,224564,225996,227466,228849,230202,231475,232666,233901,235022,236124,237179,238179,239213,240205,241136,242035,242911,243709,244467,245188,245888,246595,247274,247945,248547,249172,249743,250282,250826,251396,251908,252422,252902,253373,253861,254303,254724,255148,255528,255887,256257,256582,256936,257283,257617,257936,258238,258503,258737,258977,259231,259490,259721,260008,260269,260513,260745,260950,261139,261317,261473,261659,261825,261994,
19340,0,3,27,225,797,2087,3993,6801,10417,14705,19456,24687,30162,35876,41831,47751,53872,59856,65814,71661,77460,83134,88466,93718,98851,103815,108570,113145,117597,121747,125771,129633,133457,137088,140474,143769,146984,150029,152940,155683,158338,160825,163318,165672,168057,170306,172380,174339,176193,178004,179808,181553,183188,184771,186280,187739,189130,190535,191858,193110,194299,195453,196591,197667,198736,199747,200752,201687,202620,203469,204284,205024,205791,206529,207248,207916,208595,209226,209831,210407,210985,211554,212058,212561,213036,213541,213957,214431,214908,215340,215760,216206,216595,216992,217351,217682,218018,218318,218635,218966,219246,219525,219808,220080,220329,220571,220827,221072,221316,221540,221747,221971,222150,222346,222550,222732,222886,223064,223237,
19350,0,2,18,117,428,1038,2205,3946,6214,9054,12456,16209,20249,24596,29054,33681,38367,43073,47814,52599,57217,61775,66176,70443,74843,78880,82864,86732,90460,94088,97697,101145,104412,107565,110579,113498,116370,119007,121698,124128,126540,128855,131067,133242,135397,137409,139304,141129,142863,144537,146190,147704,149225,150739,152103,153450,154796,156005,157228,158335,159493,160593,161623,162616,163623,164506,165395,166231,167069,167839,168560,169290,169995,170678,171331,171991,172571,173195,173775,174337,174879,175377,175879,176374,176845,177300,177773,178179,178645,179066,179464,179818,180208,180531,180880,181248,181552,181854,182151,182424,182700,182970,183217,183473,183707,183933,184178,184414,184604,184819,185014,185201,185374,185562,185731,185916,186083,186234,186394,
19360,0,0,1,26,127,396,969,1885,3217,4922,7027,9493,12278,15206,18454,21792,25218,28872,32467,36124,39791,43374,46826,50318,53714,57123,60466,63732,66937,69900,72826,75729,78491,81156,83710,86125,88518,90902,93198,95383,97394,99419,101372,103212,105058,106817,108446,110021,111570,113126,114551,115936,117275,118557,119807,120988,122148,123285,124360,125341,126312,127269,128183,129052,129932,130708,131490,132263,133026,133762,134454,135177,135850,136537,137162,137741,138309,138842,139351,139866,140378,140895,141373,141866,142324,142752,143156,143563,143934,144314,144658,144987,145343,145701,145993,146259,146572,146851,147130,147391,147637,147865,148101,148343,148549,148744,148967,149179,149402,149576,149784,149952,150118,150265,150428,150601,150775,150939,151074,
19370,0,0,1,11,60,171,460,975,1735,2698,4065,5726,7603,9648,11903,14363,16871,19552,22204,24969,27611,30401,33151,35864,38590,41299,43988,46567,49078,51549,53963,56317,58625,60899,63038,65152,67241,69220,71171,72971,74779,76493,78232,79903,81500,82981,84439,85868,87245,88558,89833,91100,92316,93410,94441,95555,96629,97641,98624,99555,100397,101275,102106,102905,103722,104440,105190,105820,106478,107086,107747,108343,108892,109451,110009,110539,111019,111557,112048,112502,112975,113401,113850,114256,114659,115078,115446,115819,116161,116487,116847,117170,117455,117749,118013,118311,118566,118825,119063,119289,119531,119750,119959,120197,120412,120614,120796,120998,121178,121337,121529,121711,121889,122055,122200,122357,122516,122667,122780,
19380,0,0,0,3,23,67,180,392,751,1267,1970,2844,3946,5219,6687,8235,9902,11739,13522,15387,17412,19405,21472,23500,25522,27585,29609,31575,33590,35541,37480,39317,41165,42916,44609,46284,47965,49587,51161,52661,54134,55548,56861,58223,59524,60849,62126,63370,64528,65600,66733,67756,68767,69646,70590,71508,72360,73233,74048,74826,75597,76353,77119,77800,78476,79098,79717,80326,80874,81412,81938,82473,83002,83504,83987,84456,84923,85358,85818,86244,86624,87055,87429,87799,88162,88510,88851,89195,89514,89835,90167,90459,90762,90992,91270,91498,91722,91934,92164,92356,92583,92776,92994,93173,93373,93556,93722,93901,94048,94221,94376,94543,94686,94819,94958,95082,95220,95347,95493,
19390,0,0,0,0,3,10,46,129,262,483,802,1229,1760,2370,3160,4033,5027,6081,7248,8459,9739,11029,12359,13711,15063,16439,17817,19215,20609,22019,23363,24725,26023,27340,28668,29928,31117,32333,33508,34650,35825,36907,37944,38978,39997,40958,41898,42850,43806,44681,45539,46333,47129,47916,48675,49392,50120,50801,51490,52179,52830,53493,54109,54655,55202,55750,56279,56746,57245,57705,58155,58599,59034,59481,59919,60326,60688,61079,61425,61781,62100,62432,62755,63092,63391,63665,63953,64232,64507,64797,65006,65265,65473,65731,65972,66154,66348,66548,66741,66932,67102,67307,67503,67685,67831,67996,68164,68311,68438,68594,68731,68856,68977,69111,69238,69365,69478,69581,69695,
19400,0,0,0,0,0,3,9,30,52,113,184,331,509,757,1050,1430,1854,2306,2831,3376,4032,4710,5412,6137,6867,7657,8461,9235,10078,10951,11768,12601,13456,14296,15136,15942,16754,17535,18346,19101,19845,20596,21311,21987,22688,23378,24099,24706,25348,25935,26587,27208,27776,28339,28934,29454,30001,30496,31027,31464,31941,32403,32847,33272,33688,34086,34469,34865,35219,35583,35929,36249,36581,36904,37219,37526,37793,38079,38365,38654,38925,39194,39438,39665,39905,40128,40359,40572,40779,40963,41143,41323,41502,41680,41856,42029,42206,42356,42524,42664,42806,42944,43073,43226,43365,43512,43647,43774,43894,44007,44123,44222,44327,44430,44519,44627,44719,44808,44910,
194126210,191706,382181,541515,669056,772209,855758,924276,982097,1030521,1072030,1107620,1138674,1165735,1189688,1210666,1229485,1246506,1261952,1275970,1288401,1299825,1310072,1319654,1328511,1336578,1344018,1350787,1357295,1363189,1368704,1373836,1378544,1383086,1387284,1391164,1394726,1398137,1401388,1404494,1407391,1409998,1412525,1414936,1417259,1419420,1421390,1423295,1425042,1426759,1428388,1429953,1431475,1432841,1434227,1435473,1436687,1437903,1438974,1440015,1441010,1441953,1442873,1443773,1444573,1445403,1446172,1446890,1447612,1448323,1448934,1449537,1450104,1450694,1451224,1451780,1452283,1452741,1453205,1453661,1454079,1454483,1454862,1455239,1455606,1455965,1456310,1456648,1456952,1457248,1457559,1457838,1458089,1458360,1458634,1458886,1459084,1459326,1459521,1459739,1459937,1460114,1460279,1460457,1460612,1460773,1460933,1461084,1461239,1461384,1461532,1461662,1461804,1461938,1462066,1462192,1462297,1462397,1462504,1462631,
19424153,70186,186595,305304,410679,501184,579058,645981,702723,751525,794304,831537,864328,893517,919062,941890,962511,981062,998023,1013398,1027278,1039949,1051642,1062220,1072106,1081188,1089547,1097406,1104699,1111371,1117651,1123566,1129132,1134242,1138961,1143363,1147710,1151720,1155448,1159000,1162307,1165429,1168303,1171105,1173720,1176235,1178646,1180952,1183065,1185068,1186996,1188818,1190555,1192206,1193708,1195192,1196581,1197905,1199230,1200447,1201679,1202780,1203902,1204933,1205929,1206840,1207689,1208583,1209418,1210237,1211017,1211762,1212462,1213133,1213821,1214440,1215049,1215616,1216147,1216684,1217172,1217641,1218144,1218559,1218998,1219449,1219881,1220260,1220640,1221000,1221340,1221691,1222023,1222355,1222658,1222922,1223221,1223483,1223748,1223993,1224231,1224477,1224691,1224905,1225118,1225298,1225494,1225687,1225873,1226070,1226274,1226456,1226607,1226749,1226872,1227005,1227136,1227278,1227417,1227541,
19431073,34127,111223,201784,288901,368080,438399,499627,553498,600593,641733,678231,711062,739982,765804,788861,809895,828982,846198,861906,876182,889098,901069,912146,922390,931922,940900,949067,956541,963590,970142,976406,982191,987662,992714,997397,1001884,1006038,1009928,1013655,1017199,1020510,1023712,1026731,1029548,1032217,1034779,1037102,1039338,1041478,1043565,1045576,1047480,1049277,1050923,1052496,1054057,1055526,1056894,1058179,1059436,1060664,1061869,1062960,1064002,1065038,1065958,1066909,1067828,1068724,1069593,1070380,1071133,1071882,1072591,1073259,1073899,1074556,1075135,1075693,1076216,1076789,1077296,1077772,1078232,1078711,1079166,1079606,1080046,1080465,1080834,1081196,1081547,1081872,1082214,1082542,1082859,1083146,1083420,1083714,1083974,1084234,1084491,1084719,1084956,1085179,1085386,1085572,1085786,1085970,1086153,1086352,1086523,1086704,1086886,1087042,1087192,1087353,1087511,1087649,
1944186,13230,56847,117822,183573,247264,306458,359659,407341,450233,488409,522722,553646,581611,606764,629795,650408,669217,686323,702077,716496,729665,742050,753429,763853,773396,782355,790761,798536,805815,812574,818938,824916,830467,835889,840767,845466,849771,853922,857786,861485,865009,868333,871428,874417,877213,879965,882406,884838,887043,889218,891285,893244,895142,896953,898621,900193,901701,903169,904554,905868,907127,908352,909538,910713,911778,912880,913829,914860,915738,916654,917495,918323,919125,919886,920583,921268,921885,922533,923170,923769,924363,924869,925408,925883,926356,926829,927284,927732,928146,928556,928966,929360,929684,930028,930385,930699,930989,931272,931570,931852,932087,932355,932617,932856,933088,933333,933524,933771,933982,934198,934382,934570,934744,934930,935078,935228,935375,935529,935673,
194518,3688,22879,57516,100600,146182,191406,233686,273212,309591,342674,372857,400470,425812,449136,470024,489355,507194,523789,538947,552917,565801,577644,588592,598766,608414,617142,625434,633271,640697,647575,653964,660037,665750,670955,675941,680516,685046,689247,693138,696866,700458,703869,707114,710043,712974,715703,718239,720682,723076,725350,727404,729365,731268,733040,734804,736422,737961,739475,740918,742286,743631,744930,746131,747244,748329,749379,750425,751390,752330,753214,754089,754995,755790,756572,757336,758052,758731,759377,760006,760584,761157,761751,762268,762808,763337,763849,764341,764811,765244,765668,766060,766479,766866,767212,767572,767916,768236,768562,768859,769174,769449,769712,769991,770202,770428,770680,770871,771080,771302,771487,771665,771855,772033,772221,772395,772573,772732,772898,773047,
19464,1664,12978,36626,68649,104924,141808,177859,212467,245015,275295,302987,328381,351935,373642,393410,411813,428848,444308,458763,472065,484734,496241,506832,516862,526350,534980,543095,550749,557925,564682,570919,576843,582547,587693,592575,597213,601594,605741,609734,613572,617060,620382,623487,626573,629421,632094,634621,637059,639420,641632,643879,645924,647849,649647,651444,653227,654822,656348,657771,659229,660584,661872,663196,664360,665432,666545,667560,668552,669550,670523,671448,672314,673135,673932,674685,675392,676101,676766,677399,678014,678597,679185,679758,680305,680822,681292,681760,682218,682699,683142,683513,683889,684286,684668,685016,685356,685677,686002,686314,686620,686942,687214,687477,687754,688037,688248,688508,688746,688992,689213,689428,689630,689829,690011,690197,690380,690575,690733,690897,
19472,635,6768,21607,44105,71457,100801,130256,159201,186861,213440,238110,260702,282107,301882,320447,337336,353005,367812,381556,394142,405730,416718,426896,436455,445510,453951,461664,469052,475938,482533,488595,494355,499794,504976,509761,514385,518798,522940,526841,530473,533893,537199,540275,543300,546263,549031,551474,553954,556179,558438,560658,562661,564566,566407,568139,569806,571397,572857,574337,575743,577077,578388,579638,580802,581993,583095,584193,585197,586183,587091,588034,588871,589715,590512,591294,592011,592711,593389,594069,594679,595297,595877,596466,597016,597557,598035,598547,599052,599460,599892,600333,600685,601041,601391,601756,602107,602451,602760,603035,603337,603642,603936,604203,604468,604714,604948,605194,605437,605678,605938,606142,606347,606549,606718,606899,607084,607252,607384,607552,
19480,223,3042,11571,26104,45477,67179,89961,113295,136095,157950,178647,198432,217174,234574,250780,266268,280799,294073,306669,318269,329267,339626,349208,358400,366746,374751,382211,389287,395836,402040,407950,413474,418750,423623,428243,432707,436839,440791,444488,448076,451468,454645,457692,460626,463402,466087,468653,470932,473283,475432,477463,479469,481383,483208,484924,486535,488047,489540,490946,492330,493651,494912,496085,497241,498352,499438,500484,501512,502513,503419,504318,505185,505993,506781,507536,508295,509007,509642,510315,510965,511562,512137,512689,513252,513804,514298,514776,515235,515682,516111,516531,516931,517352,517720,518105,518418,518779,519086,519426,519754,520071,520372,520625,520904,521148,521403,521650,521878,522124,522313,522511,522752,522952,523126,523322,523503,523653,523816,523986,
19490,54,1160,5485,14050,26308,41171,57777,75467,93043,110616,127900,144236,159835,174548,188753,201752,214406,226198,237361,247967,257952,267330,276160,284422,292164,299445,306276,312806,318943,324867,330286,335419,340465,345011,349433,353688,357683,361434,364949,368357,371557,374636,377561,380335,383011,385637,388101,390383,392581,394632,396697,398626,400480,402202,403922,405558,407095,408583,410020,411359,412649,413842,415045,416120,417237,418341,419378,420385,421302,422214,423061,423874,424652,425384,426145,426817,427438,428076,428716,429334,429928,430500,431040,431549,432056,432568,433015,433486,433909,434343,434752,435210,435626,435984,436368,436680,437042,437391,437701,437996,438291,438574,438859,439115,439388,439629,439859,440105,440366,440545,440774,440979,441165,441356,441577,441752,441928,442083,442244,
19500,20,586,3236,8914,17613,28883,41909,56168,70859,85624,100108,114323,128175,141311,154036,166026,177347,188041,198205,207825,216907,225570,233763,241376,248730,255606,262181,268332,274103,279594,284757,289876,294578,298940,303157,307192,311033,314652,318134,321404,324529,327500,330353,333068,335691,338085,340447,342787,344959,346979,348887,350752,352510,354285,355957,357555,358992,360427,361799,363114,364418,365599,366746,367879,368962,370006,370991,371957,372877,373732,374584,375411,376222,376969,377635,378334,379007,379659,380298,380931,381531,382070,382591,383093,383604,384113,384618,385097,385568,386028,386428,386841,387194,387544,387902,388275,388609,388944,389248,389550,389838,390116,390412,390667,390929,391184,391458,391668,391887,392077,392272,392441,392636,392838,393024,393192,393358,393531,393680,
19510,10,282,1728,5267,11126,19239,29194,40265,51768,63799,76069,88039,99794,111135,122056,132562,142544,152252,161407,170088,178351,186177,193624,200881,207543,213757,219827,225561,230889,235945,240866,245517,249886,254166,258174,261946,265614,269092,272293,275394,278397,281248,283933,286524,289008,291352,293661,295910,297862,299740,301607,303402,305130,306737,308314,309899,311306,312686,314034,315298,316522,317617,318756,319831,320880,321866,322871,323842,324712,325616,326451,327274,328096,328866,329571,330228,330866,331508,332155,332732,333321,333883,334425,334966,335438,335917,336365,336801,337221,337669,338051,338479,338805,339182,339513,339844,340149,340454,340784,341097,341376,341632,341914,342198,342476,342706,342964,343152,343400,343604,343797,343991,344186,344331,344519,344682,344837,345009,345176,
19520,1,95,798,2826,6478,11852,18954,27035,36016,45573,55277,65088,74920,84445,93667,102775,111373,119791,127771,135561,142967,150053,156650,162992,169193,174897,180496,185868,190836,195517,199955,204285,208351,212253,216040,219590,222887,226040,229019,231883,234632,237274,239775,242223,244539,246692,248789,250860,252848,254704,256493,258236,259932,261482,262954,264436,265759,267082,268378,269625,270748,271871,272953,274004,275022,275960,276945,277777,278664,279496,280295,281072,281816,282509,283148,283802,284503,285120,285712,286308,286833,287341,287878,288391,288860,289318,289767,290179,290631,291063,291468,291847,292202,292540,292881,293230,293505,293790,294082,294382,294653,294911,295168,295413,295641,295868,296091,296333,296584,296792,297022,297232,297405,297556,297731,297905,298048,298221,298409,
19530,2,37,334,1394,3454,6873,11581,17291,23728,30917,38256,45929,53559,61289,68895,76331,83758,90833,97685,104071,110431,116400,122166,127727,133089,138178,143074,147693,152143,156320,160347,164252,167977,171496,174893,178214,181282,184235,187026,189711,192302,194752,197130,199444,201519,203556,205576,207507,209345,211043,212724,214232,215755,217268,218702,220050,221359,222571,223731,224851,225938,226991,227974,229003,230004,230948,231822,232676,233493,234259,235007,235758,236438,237093,237766,238380,238970,239584,240165,240710,241228,241738,242195,242655,243108,243543,243985,244404,244822,245214,245585,245943,246300,246626,246936,247230,247530,247834,248127,248437,248699,248957,249189,249426,249669,249917,250145,250366,250584,250763,250952,251142,251305,251477,251671,251848,252021,252177,252304,
19540,0,6,97,540,1563,3402,6144,9789,13906,18723,23959,29450,35164,41014,46827,52727,58514,64053,69544,74911,80176,85281,90019,94755,99332,103799,107936,112027,115921,119698,123303,126674,129972,133092,136075,138949,141638,144345,146811,149288,151671,153905,155973,158016,159977,161878,163630,165400,167067,168649,170204,171652,173033,174438,175705,176932,178120,179232,180345,181440,182445,183480,184451,185363,186265,187143,188014,188789,189582,190286,190977,191675,192326,192969,193607,194207,194805,195345,195875,196410,196880,197324,197774,198189,198605,199003,199406,199794,200201,200594,200942,201296,201629,201940,202248,202586,202863,203124,203415,203678,203939,204199,204452,204681,204883,205107,205311,205502,205715,205885,206067,206252,206426,206582,206731,206876,207027,207158,207303,
19550,0,1,38,222,745,1739,3349,5576,8320,11513,15176,19140,23320,27613,32068,36615,41100,45616,50079,54463,58673,62832,66888,70806,74662,78216,81839,85257,88625,91763,94917,97852,100697,103464,106112,108630,111003,113426,115697,117837,119900,121889,123827,125708,127499,129184,130770,132360,133833,135299,136747,138034,139234,140484,141686,142788,143867,144884,145881,146905,147843,148754,149567,150430,151290,152087,152844,153611,154347,155025,155665,156330,156947,157565,158126,158692,159183,159713,160240,160725,161170,161599,161987,162415,162804,163206,163619,163966,164278,164627,164972,165295,165603,165904,166220,166485,166731,166980,167249,167510,167730,167951,168175,168387,168579,168786,168988,169148,169335,169516,169694,169837,169997,170177,170326,170460,170626,170775,170915,
19560,0,0,7,59,273,703,1490,2632,4197,6142,8410,10930,13798,16707,19722,22911,26103,29539,32937,36223,39495,42685,45819,48912,51911,54845,57741,60478,63138,65783,68326,70745,73121,75513,77728,79858,81843,83762,85679,87530,89279,90976,92577,94243,95797,97221,98623,99961,101243,102475,103699,104862,105960,107025,108056,109060,110015,110910,111812,112690,113556,114368,115159,115932,116639,117336,118079,118698,119313,119930,120531,121072,121609,122143,122622,123126,123646,124112,124570,125012,125416,125835,126228,126618,127009,127363,127695,128036,128377,128657,128975,129285,129548,129810,130077,130341,130567,130789,131053,131280,131498,131708,131906,132117,132309,132525,132707,132886,133051,133210,133395,133556,133709,133875,134001,134128,134255,134366,134511,
19570,0,0,0,14,65,208,499,960,1634,2579,3710,5045,6514,8292,10156,12166,14187,16238,18461,20682,22841,25124,27242,29434,31650,33852,36015,38165,40174,42175,44076,45995,47770,49484,51263,52887,54496,56091,57620,59156,60505,61889,63264,64599,65852,67002,68178,69308,70385,71388,72429,73438,74377,75293,76181,77032,77893,78704,79464,80239,80981,81687,82351,83014,83595,84173,84746,85303,85838,86380,86844,87335,87815,88274,88716,89160,89548,89945,90338,90742,91132,91508,91826,92127,92443,92763,93070,93377,93677,93951,94218,94491,94725,94942,95208,95455,95672,95876,96053,96256,96444,96622,96790,96967,97152,97292,97440,97599,97763,97903,98037,98171,98293,98410,98531,98659,98788,98890,99005,
19580,0,0,0,1,12,40,114,244,452,784,1170,1714,2314,3071,3938,4859,5887,7009,8161,9396,10605,11909,13141,14402,15779,17053,18341,19585,20906,22255,23521,24823,26059,27196,28407,29555,30630,31743,32765,33822,34852,35836,36826,37751,38632,39465,40334,41154,41995,42743,43497,44212,44886,45590,46235,46880,47509,48111,48692,49244,49802,50325,50867,51377,51827,52237,52722,53167,53574,53994,54400,54784,55174,55564,55872,56222,56541,56892,57212,57505,57817,58123,58395,58661,58903,59148,59407,59598,59835,60079,60298,60501,60700,60888,61088,61273,61473,61654,61854,61995,62126,62281,62446,62590,62749,62876,63005,63125,63270,63387,63489,63594,63702,63811,63914,64037,64148,64250,64352,
195951556,259369,456112,607878,725379,817196,891102,951066,1000824,1043051,1078758,1109776,1136952,1160260,1180797,1199018,1215388,1230168,1243328,1255286,1266202,1276158,1285205,1293534,1301292,1308239,1314843,1320794,1326461,1331741,1336564,1341126,1345297,1349217,1352985,1356481,1359705,1362872,1365750,1368474,1370983,1373375,1375637,1377819,1379891,1381844,1383619,1385355,1386988,1388607,1390136,1391552,1392893,1394230,1395454,1396555,1397691,1398812,1399814,1400794,1401685,1402556,1403372,1404139,1404906,1405639,1406296,1406988,1407622,1408291,1408877,1409434,1409964,1410504,1410984,1411511,1411960,1412412,1412841,1413257,1413698,1414109,1414467,1414788,1415135,1415495,1415802,1416114,1416404,1416680,1416933,1417211,1417462,1417706,1417960,1418173,1418388,1418574,1418774,1418957,1419157,1419338,1419509,1419660,1419809,1419959,1420091,1420232,1420365,1420498,1420630,1420752,1420890,1421001,1421113,1421217,1421318,1421421,1421526,1421642,
196013328,121905,262926,388890,493816,580455,651978,711905,763011,806469,844143,876500,905169,930446,952867,972852,990724,1006863,1021574,1034953,1046985,1058048,1068029,1077221,1085663,1093482,1100677,1107453,1113795,1119775,1125243,1130329,1135082,1139452,1143640,1147609,1151359,1154843,1158110,1161256,1164265,1166988,1169622,1172080,1174395,1176569,1178602,1180583,1182401,1184152,1185786,1187447,1189017,1190417,1191809,1193128,1194405,1195620,1196824,1197944,1198997,1199945,1200944,1201872,1202757,1203594,1204356,1205190,1205952,1206677,1207392,1208059,1208670,1209267,1209853,1210384,1210916,1211401,1211877,1212412,1212866,1213321,1213748,1214123,1214548,1214932,1215289,1215640,1215956,1216288,1216588,1216897,1217203,1217462,1217699,1217966,1218204,1218438,1218689,1218886,1219100,1219299,1219481,1219649,1219844,1220025,1220199,1220384,1220551,1220717,1220868,1220988,1221126,1221264,1221384,1221510,1221624,1221744,1221859,1221975,
19614928,70813,177040,282323,375720,455408,523380,581209,630776,673357,710661,743536,772515,798095,820845,841117,859389,876053,891198,905044,917534,928908,939409,948922,957714,965839,973461,980426,986977,993140,998923,1004231,1009296,1013988,1018330,1022422,1026441,1030252,1033898,1037142,1040224,1043181,1045903,1048409,1050915,1053217,1055465,1057560,1059505,1061395,1063231,1064992,1066626,1068259,1069698,1071141,1072525,1073840,1075136,1076319,1077489,1078498,1079536,1080503,1081485,1082326,1083185,1083995,1084801,1085546,1086330,1087012,1087684,1088313,1088944,1089543,1090151,1090681,1091240,1091746,1092245,1092711,1093148,1093596,1094021,1094415,1094803,1095187,1095486,1095843,1096177,1096514,1096829,1097147,1097439,1097702,1097963,1098235,1098471,1098738,1098998,1099215,1099413,1099619,1099830,1100031,1100206,1100362,1100529,1100699,1100866,1101012,1101172,1101336,1101495,1101641,1101774,1101905,1102014,1102143,
19621370,34621,105601,186443,263163,332506,393786,446870,493415,534241,570239,602293,630755,656126,678828,699513,718086,734972,750576,764562,777313,788940,799544,809455,818667,827202,835146,842468,849284,855643,861715,867373,872643,877476,882079,886455,890434,894203,897731,901260,904470,907512,910428,913262,915937,918380,920748,922988,925157,927182,929139,930934,932650,934312,935853,937334,938774,940152,941480,942710,943881,945041,946171,947184,948181,949148,950006,950935,951760,952560,953310,954091,954809,955470,956153,956795,957363,957943,958544,959056,959588,960080,960573,961062,961530,961995,962446,962875,963251,963620,963984,964353,964680,964989,965311,965594,965885,966188,966437,966699,966952,967179,967394,967608,967820,968022,968233,968441,968603,968789,968952,969122,969280,969438,969598,969760,969895,970025,970148,970268,
1963241,13134,52959,107065,164902,220170,271241,317330,358526,395369,428587,458334,485032,509123,530962,551060,569392,585852,600959,614788,627396,639027,649839,659860,669182,677761,685788,693132,700188,706794,713029,718771,724081,729204,733854,738257,742481,746425,750140,753670,756872,760151,763125,765983,768668,771115,773542,775837,778025,780072,782023,783900,785714,787464,789091,790640,792122,793505,794873,796178,797347,798523,799721,800807,801828,802769,803777,804669,805542,806408,807193,807964,808689,809374,810033,810674,811328,811990,812583,813189,813735,814292,814790,815274,815732,816178,816648,817087,817462,817809,818168,818530,818884,819219,819538,819834,820140,820413,820694,820974,821257,821498,821730,821970,822198,822398,822619,822819,823017,823219,823414,823599,823768,823937,824082,824269,824412,824555,824709,824834,
196463,7250,34264,75664,122370,169813,214437,255608,293450,327798,358668,386564,411708,434701,455708,474893,492256,508364,523133,536890,549434,560809,571533,581497,590767,599249,607234,614608,621511,628029,634029,639738,645119,650149,654963,659430,663566,667631,671434,674873,678299,681606,684659,687497,690268,692761,695174,697561,699734,701798,703816,705759,707619,709424,711051,712596,714158,715580,716927,718248,719492,720714,721909,723068,724139,725113,726106,727016,727923,728776,729693,730503,731273,731991,732697,733416,734097,734687,735258,735847,736435,736973,737496,737956,738443,738938,739373,739788,740230,740626,741034,741395,741766,742068,742405,742708,743015,743311,743610,743890,744164,744442,744686,744918,745136,745374,745570,745785,745994,746186,746372,746584,746738,746901,747069,747241,747401,747544,747684,747846,
196521,3382,20130,49651,85992,124673,162508,198044,231360,262382,290741,316502,339935,361655,381674,399667,416528,432028,446325,459296,471651,482946,493397,503053,512086,520468,528384,535885,542706,549120,555057,560776,566120,571156,575969,580359,584439,588442,592190,595798,599126,602415,605397,608241,610951,613511,615961,618255,620432,622548,624569,626458,628290,630105,631805,633362,634875,636347,637745,639061,640279,641565,642753,643868,644961,646012,647003,647921,648847,649757,650597,651387,652178,652897,653574,654295,654946,655592,656216,656819,657385,657926,658454,658984,659500,660001,660459,660913,661355,661753,662129,662538,662890,663238,663600,663936,664247,664543,664835,665124,665435,665686,665943,666171,666430,666643,666854,667073,667266,667475,667666,667858,668048,668223,668394,668555,668710,668874,669033,669163,
19666,1517,11055,30516,56680,86616,117682,147542,176060,202832,227849,250918,272119,291699,309673,326355,342062,356461,369790,382306,393930,404693,414757,424100,432731,440887,448311,455331,462083,468319,474114,479578,484745,489654,494370,498783,502861,506825,510469,514006,517247,520446,523299,526175,528913,531429,533905,536249,538446,540617,542595,544541,546339,548087,549786,551413,552905,554371,555840,557161,558418,559672,560865,562044,563189,564209,565165,566204,567143,568004,568855,569676,570446,571229,571950,572639,573270,573953,574557,575119,575705,576248,576785,577286,577758,578257,578712,579199,579670,580090,580504,580890,581245,581596,581918,582259,582551,582860,583161,583442,583747,584037,584280,584521,584777,584988,585244,585471,585667,585856,586056,586259,586447,586648,586837,586999,587156,587306,587461,587603,
19671,491,5018,16324,33762,54957,77775,101109,124486,146724,167994,187902,206429,224093,240054,255173,269448,282664,294715,306232,317069,327095,336576,345229,353275,360978,368049,374883,381144,387141,392779,398128,403151,408097,412587,416831,420883,424670,428278,431769,434947,438021,440934,443641,446286,448905,451218,453578,455805,457857,459757,461655,463473,465168,466746,468290,469790,471235,472650,473968,475212,476397,477511,478682,479719,480750,481729,482694,483627,484511,485410,486192,486971,487743,488475,489216,489907,490536,491150,491682,492244,492806,493319,493831,494315,494836,495299,495759,496203,496645,497072,497438,497807,498179,498521,498860,499176,499490,499787,500105,500406,500695,500977,501229,501460,501715,501926,502137,502334,502532,502725,502912,503084,503260,503445,503624,503810,503949,504107,504241,
19680,236,2969,10658,23335,39651,58111,77717,97355,116607,135379,153318,170062,185843,200776,214598,227725,239808,251321,261988,272107,281428,290376,298706,306425,313625,320640,327243,333331,339116,344611,349823,354741,359273,363497,367651,371576,375216,378743,381989,385093,388033,390778,393527,396190,398664,400931,403201,405353,407418,409367,411266,413104,414744,416371,417868,419333,420769,422141,423409,424641,425820,426991,428135,429166,430202,431142,432058,432994,433902,434744,435576,436323,437068,437768,438476,439136,439764,440353,440967,441548,442089,442650,443172,443661,444142,444617,445080,445502,445948,446343,446741,447090,447436,447781,448094,448385,448705,448993,449309,449602,449889,450141,450399,450637,450877,451133,451348,451552,451767,451933,452126,452308,452500,452693,452872,453035,453189,453311,453461,
19690,87,1459,6329,15095,27057,41448,57193,73594,89797,105800,121214,135947,149817,163037,175583,187684,198884,209456,219510,228735,237335,245541,253270,260557,267507,273951,280077,285813,291358,296479,301331,305948,310365,314446,318513,322290,325802,329290,332445,335458,338365,341139,343808,346206,348623,350887,353088,355085,357075,358982,360789,362541,364276,365826,367298,368674,370027,371424,372637,373869,375084,376213,377327,378378,379426,380396,381304,382177,383024,383843,384634,385408,386147,386870,387576,388263,388883,389448,390025,390547,391087,391571,392064,392558,393037,393500,393945,394370,394776,395161,395581,395940,396315,396653,396982,397297,397588,397879,398182,398450,398719,398982,399241,399501,399725,399963,400181,400397,400605,400797,400986,401161,401358,401545,401708,401871,402019,402175,402348,
19700,37,718,3484,9080,17281,27671,39796,52591,65692,78860,91945,104589,116713,128265,139076,149739,159588,168969,178000,186539,194524,202054,209351,216138,222573,228633,234228,239628,244713,249472,254008,258247,262506,266415,270110,273668,277074,280271,283342,286242,288987,291656,294127,296542,298774,301024,303127,305176,307067,308880,310599,312320,313950,315505,316986,318429,319761,321078,322316,323474,324596,325666,326711,327714,328651,329564,330459,331300,332144,333002,333798,334526,335216,335917,336552,337204,337787,338377,338933,339496,340016,340541,341026,341513,341973,342401,342807,343222,343625,344028,344411,344786,345120,345432,345749,346039,346335,346614,346881,347144,347411,347635,347858,348111,348374,348588,348814,349028,349226,349410,349581,349761,349923,350091,350258,350433,350593,350756,350908,
19710,15,299,1635,4852,10085,16980,25590,35173,45175,55445,65799,75957,86075,95801,105131,114122,122684,130916,138730,146112,153328,159974,166453,172552,178360,183816,189078,194044,198639,203134,207464,211585,215444,219033,222501,225741,228789,231835,234708,237449,240073,242485,244892,247056,249257,251343,253357,255242,257084,258877,260532,262163,263630,265064,266478,267841,269099,270332,271499,272605,273679,274725,275769,276773,277718,278643,279499,280317,281105,281896,282652,283350,284054,284676,285311,285967,286524,287091,287630,288152,288651,289115,289571,290056,290544,290947,291361,291773,292164,292541,292931,293326,293676,294006,294340,294639,294945,295258,295523,295794,296019,296263,296510,296736,296951,297158,297357,297573,297763,297949,298123,298293,298480,298633,298799,298957,299120,299274,299423,
19720,2,86,667,2313,5247,9554,15188,21790,28831,36306,44189,52042,59981,67648,75183,82513,89684,96571,103036,109403,115483,121370,126923,132212,137428,142275,146938,151227,155428,159389,163302,166937,170360,173611,176771,179782,182691,185406,187900,190324,192661,194813,197026,199197,201262,203235,205064,206802,208515,210153,211680,213133,214591,215859,217126,218358,219541,220771,221896,222951,223966,224973,225923,226813,227718,228581,229396,230236,230953,231697,232363,233049,233673,234328,234930,235507,236091,236663,237180,237695,238194,238685,239131,239546,239982,240406,240829,241230,241583,241924,242262,242599,242925,243250,243598,243888,244146,244417,244662,244899,245133,245388,245594,245815,246020,246239,246449,246627,246814,247001,247151,247329,247493,247660,247802,247965,248114,248255,248379,
19730,0,18,234,995,2565,5179,8688,13046,17947,23460,29153,34984,41054,47156,53300,59199,65106,70790,76483,81802,86956,91890,96607,101170,105470,109536,113424,117190,120850,124394,127843,131109,134139,137100,139937,142691,145326,147735,150151,152440,154635,156730,158729,160649,162453,164232,165891,167525,169100,170610,171979,173373,174709,175963,177170,178332,179417,180464,181512,182501,183476,184374,185249,186137,186975,187812,188601,189378,190098,190799,191434,192073,192742,193328,193887,194462,194963,195478,195947,196413,196862,197341,197729,198102,198495,198908,199277,199644,199966,200313,200645,200976,201252,201530,201827,202111,202377,202641,202851,203110,203344,203563,203773,203981,204197,204417,204613,204800,205003,205184,205362,205524,205661,205799,205961,206096,206261,206393,206517,
19740,0,6,67,382,1057,2358,4209,6688,9741,13198,17055,21085,25297,29648,34047,38467,42977,47299,51625,55836,59945,63973,67830,71423,74998,78501,81804,85005,88051,91055,94016,96684,99332,101893,104282,106593,108830,111028,113088,115147,117079,118908,120631,122354,123977,125520,126980,128416,129752,131055,132348,133588,134759,135877,136973,138028,139091,140073,140983,141898,142779,143614,144451,145208,145962,146681,147376,148045,148700,149306,149930,150549,151115,151671,152197,152700,153206,153715,154186,154620,155037,155449,155851,156264,156624,156961,157347,157681,157996,158313,158615,158926,159239,159490,159779,160039,160269,160521,160782,161007,161212,161399,161612,161805,161965,162151,162331,162514,162686,162845,162996,163148,163288,163457,163591,163736,163871,164012,164123,
19750,0,1,14,73,274,745,1583,2693,4312,6144,8237,10578,13216,16043,18836,21715,24742,27738,30846,33888,36828,39750,42532,45212,47940,50643,53161,55725,58184,60515,62700,64855,67002,69048,71035,72982,74741,76506,78189,79842,81413,82951,84405,85887,87286,88640,89931,91090,92260,93343,94458,95509,96496,97463,98433,99302,100187,101057,101852,102692,103431,104173,104875,105532,106197,106851,107462,108021,108623,109107,109613,110134,110635,111106,111606,112060,112508,112938,113358,113742,114114,114499,114840,115205,115554,115896,116186,116486,116802,117096,117376,117636,117899,118138,118358,118587,118822,119050,119264,119461,119628,119806,119999,120180,120345,120504,120652,120805,120948,121098,121250,121401,121545,121692,121801,121941,122069,122181,122265,
19760,0,0,0,5,48,144,353,691,1228,1897,2734,3749,4887,6173,7589,9097,10664,12247,14007,15747,17540,19288,21072,22873,24575,26256,27904,29608,31296,32906,34507,36153,37687,39123,40541,41873,43161,44416,45633,46839,48061,49191,50291,51331,52332,53330,54327,55298,56171,57053,57861,58679,59442,60177,60910,61625,62301,62958,63627,64227,64822,65386,65934,66470,67010,67533,68026,68539,68979,69401,69834,70233,70659,71055,71426,71816,72146,72527,72836,73172,73517,73811,74101,74413,74676,74926,75179,75429,75695,75937,76154,76377,76605,76795,76962,77160,77361,77561,77740,77907,78072,78231,78380,78519,78660,78810,78955,79090,79224,79348,79478,79618,79755,79861,79961,80069,80158,80246,80324,
197778665,311034,506931,651694,761050,845317,912661,967474,1012658,1050756,1083329,1111086,1135357,1156692,1175411,1191843,1206734,1220170,1232121,1243202,1253186,1262320,1270728,1278308,1285408,1291901,1297919,1303457,1308623,1313495,1318037,1322202,1326093,1329734,1333098,1336226,1339272,1342128,1344880,1347341,1349699,1351876,1353998,1355980,1357851,1359642,1361352,1362931,1364499,1365959,1367378,1368653,1369933,1371156,1372332,1373466,1374519,1375488,1376405,1377301,1378184,1378979,1379729,1380498,1381208,1381896,1382574,1383217,1383795,1384366,1384930,1385508,1386005,1386497,1387006,1387471,1387888,1388278,1388669,1389065,1389449,1389794,1390169,1390484,1390789,1391085,1391377,1391659,1391944,1392208,1392456,1392683,1392898,1393108,1393359,1393575,1393766,1393949,1394144,1394348,1394537,1394714,1394886,1395032,1395201,1395360,1395499,1395640,1395782,1395920,1396048,1396147,1396254,1396379,1396488,1396599,1396701,1396811,1396902,1397006,
197826334,166289,320025,447045,548366,630519,698114,753399,799964,839631,873812,903287,929149,951859,971972,989938,1006016,1020667,1033826,1045858,1056736,1066610,1075664,1084018,1091730,1098813,1105390,1111526,1117189,1122547,1127547,1132106,1136487,1140664,1144408,1147946,1151415,1154641,1157644,1160508,1163223,1165817,1168258,1170587,1172655,1174688,1176641,1178468,1180113,1181745,1183293,1184828,1186294,1187635,1188946,1190161,1191359,1192531,1193600,1194545,1195531,1196496,1197393,1198246,1199065,1199875,1200574,1201278,1201974,1202609,1203280,1203883,1204481,1205045,1205574,1206087,1206575,1207068,1207557,1208019,1208462,1208875,1209308,1209688,1210055,1210434,1210745,1211071,1211358,1211652,1211941,1212242,1212518,1212794,1213026,1213250,1213490,1213685,1213917,1214117,1214329,1214520,1214698,1214890,1215074,1215225,1215402,1215560,1215708,1215873,1216004,1216144,1216274,1216419,1216543,1216660,1216778,1216897,1217017,1217132,
197912008,107369,230909,342785,436541,513970,578096,632387,678615,718660,753040,783034,809225,832598,853233,871834,888508,903661,917446,929932,941275,951709,961103,969845,977894,985448,992390,998781,1004847,1010355,1015635,1020598,1025177,1029420,1033570,1037386,1040910,1044211,1047462,1050448,1053236,1055883,1058443,1060827,1063168,1065330,1067355,1069232,1071068,1072835,1074500,1076129,1077638,1079160,1080502,1081834,1083092,1084264,1085419,1086537,1087580,1088559,1089538,1090404,1091233,1092107,1092899,1093675,1094406,1095084,1095791,1096446,1097043,1097656,1098280,1098839,1099360,1099823,1100314,1100820,1101287,1101739,1102168,1102572,1102934,1103303,1103679,1104059,1104420,1104731,1105055,1105338,1105663,1105941,1106211,1106468,1106703,1106947,1107185,1107419,1107646,1107859,1108070,1108241,1108423,1108606,1108774,1108955,1109101,1109278,1109423,1109603,1109752,1109891,1110038,1110169,1110283,1110416,1110525,1110644,
19804334,60183,151659,242987,324573,394953,455210,506434,551037,589530,623352,653215,679662,703195,724061,742917,759827,775092,789041,801916,813684,824354,834105,843083,851333,859224,866552,873164,879377,885246,890808,896037,900853,905347,909703,913792,917479,920981,924287,927444,930422,933199,935849,938334,940669,942962,945149,947230,949157,950970,952681,954442,956085,957615,959080,960423,961764,962998,964197,965320,966357,967380,968351,969328,970253,971094,971892,972640,973409,974190,974874,975513,976162,976758,977355,977940,978491,979015,979573,980082,980563,980994,981448,981842,982263,982678,983068,983433,983789,984131,984463,984782,985086,985379,985669,985936,986182,986441,986678,986944,987167,987374,987585,987775,987992,988180,988380,988545,988728,988892,989054,989205,989356,989495,989648,989773,989903,990052,990175,990284,
19811055,27144,85448,153229,218800,278310,331370,378114,419275,455065,487248,515616,540960,563872,584370,603154,619997,635631,649488,662366,674340,685070,695178,704415,713045,720963,728288,735241,741555,747549,753240,758593,763425,768088,772400,776463,780384,783932,787428,790621,793579,796594,799362,801865,804395,806802,809101,811101,813114,815063,816902,818736,820428,822009,823459,824917,826315,827597,828893,830099,831225,832266,833318,834348,835280,836193,837046,837894,838736,839528,840283,840986,841715,842341,842947,843585,844143,844722,845253,845786,846333,846875,847323,847776,848263,848706,849122,849527,849885,850270,850615,850936,851271,851584,851868,852175,852450,852723,852971,853206,853445,853686,853910,854141,854365,854548,854735,854923,855125,855291,855473,855618,855784,855943,856095,856222,856383,856528,856648,856773,
1982452,16418,59352,114087,170261,223003,271405,314521,353360,387500,417964,445171,469610,491618,511685,529807,546550,561925,575966,588861,600569,611425,621482,630790,639342,647353,654624,661611,668019,673997,679725,685038,690042,694770,699203,703432,707328,711047,714526,717810,720850,723832,726604,729261,731676,734061,736277,738414,740549,742444,744280,746000,747702,749320,750749,752243,753754,755085,756416,757663,758854,759982,761064,762101,763114,764059,765049,765932,766768,767602,768356,769034,769780,770486,771155,771807,772417,772994,773567,774085,774590,775098,775603,776067,776538,776954,777365,777764,778147,778499,778842,779221,779577,779882,780219,780492,780784,781068,781338,781612,781877,782114,782340,782545,782741,782952,783164,783361,783548,783720,783904,784078,784224,784342,784486,784632,784784,784925,785074,785187,
1983164,9212,38439,80704,126529,171550,214114,253118,288294,320268,348886,374816,398193,419212,438508,456253,472409,487219,500795,513101,524551,535134,545022,554198,562726,570542,578006,584769,591267,597352,602959,608205,613225,617981,622351,626450,630263,634023,637443,640776,643735,646690,649538,652155,654679,657053,659344,661522,663547,665534,667395,669173,670896,672574,674154,675666,677113,678522,679773,680980,682187,683355,684449,685543,686593,687546,688514,689393,690199,690993,691768,692510,693234,693855,694543,695204,695826,696390,696943,697474,698025,698532,699007,699487,699949,700387,700799,701206,701620,701983,702364,702720,703085,703438,703759,704034,704333,704630,704917,705186,705431,705677,705935,706152,706370,706557,706772,706965,707160,707356,707516,707698,707841,708006,708167,708326,708472,708615,708782,708903,
198427,4358,22724,52874,88409,125275,161327,195150,226127,255029,281198,305101,326700,346525,364858,381604,396881,411168,424136,436269,447461,457808,467414,476261,484537,492268,499427,506288,512631,518466,523992,529229,534147,538927,543157,547307,551114,554727,558200,561398,564529,567353,570048,572724,575304,577702,580086,582304,584407,586402,588339,590110,591803,593514,594989,596488,597900,599318,600684,601955,603198,604325,605430,606546,607537,608486,609431,610347,611198,612076,612905,613687,614432,615107,615750,616408,617015,617629,618200,618777,619364,619875,620364,620833,621296,621755,622183,622624,623040,623446,623822,624168,624514,624843,625160,625422,625712,626006,626334,626597,626864,627145,627398,627619,627855,628046,628246,628461,628660,628860,629065,629278,629464,629637,629805,629984,630137,630302,630454,630573,
19856,1772,11953,31318,56520,84805,113678,141409,167685,192403,215654,236848,256505,274705,291452,306768,321014,334472,346665,358066,368687,378361,387384,395991,404023,411581,418676,425229,431492,437369,442821,447952,452664,457294,461675,465723,469523,473135,476522,479744,482866,485743,488529,491067,493501,495958,498311,500447,502581,504483,506302,508122,509859,511489,513116,514627,516049,517419,518711,520007,521180,522290,523405,524456,525459,526420,527395,528344,529180,529981,530756,531500,532220,532937,533569,534204,534878,535511,536088,536634,537168,537691,538223,538699,539201,539652,540082,540487,540911,541299,541678,542017,542364,542702,543006,543296,543594,543897,544175,544429,544704,544980,545186,545406,545663,545874,546108,546324,546527,546716,546901,547093,547268,547441,547618,547812,547965,548120,548247,548395,
19860,887,7302,21366,40962,63602,87420,111580,135070,157206,177887,197337,215150,231808,247197,261593,275114,287560,299160,309981,320168,329479,338464,346690,354326,361412,368064,374512,380518,386186,391493,396484,401213,405507,409743,413565,417243,420780,424045,427297,430305,433189,435887,438557,441043,443407,445714,447938,449964,451828,453682,455499,457203,458791,460366,461762,463149,464471,465723,466999,468176,469335,470446,471579,472578,473539,474479,475398,476303,477109,477926,478729,479435,480153,480808,481486,482161,482807,483384,483964,484505,485007,485529,486024,486488,486933,487400,487844,488250,488653,489006,489370,489714,490049,490398,490756,491048,491331,491614,491876,492128,492388,492628,492866,493092,493303,493519,493738,493969,494157,494350,494538,494694,494862,495017,495167,495336,495500,495638,495763,
19870,432,4248,13647,28363,46118,65707,85826,105635,124617,142933,160245,176496,191790,205943,219372,231849,243543,254440,264735,274337,283339,291623,299397,306834,313712,320061,326017,331700,337247,342342,347270,351861,356132,360280,364124,367729,371198,374598,377700,380618,383436,386067,388586,391006,393347,395600,397656,399654,401579,403430,405191,406865,408518,410044,411544,412939,414343,415606,416796,417966,419123,420207,421234,422210,423151,424061,424972,425854,426717,427543,428321,429058,429811,430475,431108,431738,432331,432914,433466,434003,434546,435033,435518,436004,436430,436844,437272,437668,438060,438424,438801,439166,439505,439814,440114,440370,440648,440926,441204,441460,441744,441989,442225,442462,442687,442907,443104,443314,443499,443642,443840,444016,444185,444350,444522,444681,444834,444989,445117,
19880,156,2115,7923,17963,31228,46186,62113,78575,94558,110183,124873,139326,152801,165445,177460,188870,199464,209531,218885,227705,236178,243892,251219,258078,264458,270668,276351,281909,287048,291751,296227,300622,304706,308543,312222,315758,319010,322124,325109,327892,330662,333363,335839,338227,340452,342602,344698,346605,348434,350208,351858,353479,355100,356605,358061,359466,360766,362057,363252,364368,365514,366567,367535,368512,369408,370331,371193,371966,372803,373574,374372,375085,375786,376483,377109,377762,378394,378954,379509,380059,380552,381015,381469,381899,382323,382713,383089,383485,383911,384290,384667,385032,385378,385692,385979,386242,386521,386779,387032,387315,387558,387818,388048,388301,388509,388712,388917,389120,389306,389484,389643,389827,389995,390142,390310,390455,390614,390761,390919,
19890,48,952,4110,10297,19073,29885,41859,54665,67576,80363,92639,104588,116210,127158,137718,147572,157152,166128,174583,182622,190107,197274,204043,210458,216467,222182,227542,232673,237440,241992,246281,250362,254300,257877,261366,264747,267857,270798,273644,276294,278858,281289,283614,285862,288093,290137,292118,293965,295726,297392,299008,300553,302040,303442,304924,306252,307528,308693,309838,310931,311983,312965,313978,314969,315973,316835,317636,318442,319156,319904,320607,321308,321996,322655,323279,323852,324396,324956,325456,326020,326508,326974,327459,327892,328326,328758,329159,329572,329958,330314,330654,331009,331385,331726,332017,332308,332608,332877,333126,333379,333618,333878,334149,334397,334602,334830,335024,335225,335420,335587,335757,335921,336101,336245,336404,336548,336708,336842,336970,
19900,16,374,1852,5331,10687,17720,26039,35329,44997,54765,64804,74500,83751,92860,101591,109956,117868,125596,132816,139765,146344,152563,158632,164165,169463,174721,179553,184168,188453,192646,196569,200322,203890,207154,210357,213536,216488,219279,221895,224327,226694,228989,231231,233293,235240,237210,239135,240855,242605,244253,245790,247273,248641,249971,251266,252475,253686,254851,255946,256993,257990,258942,259892,260800,261610,262448,263272,264051,264783,265494,266236,266927,267567,268147,268767,269347,269912,270462,270966,271461,271930,272357,272788,273210,273608,274014,274424,274794,275137,275507,275841,276163,276462,276777,277081,277383,277644,277911,278169,278421,278686,278923,279161,279405,279603,279802,279997,280200,280385,280552,280730,280889,281047,281194,281362,281519,281644,281800,281933,
19910,4,127,797,2601,5790,10240,15851,22259,29351,36810,44265,51872,59480,66724,73915,80889,87543,94025,100201,106162,111853,117158,122432,127474,132194,136613,140945,145072,148897,152609,156280,159651,162791,165888,168820,171712,174446,177098,179509,181730,183905,185931,187998,189985,191879,193652,195397,197019,198601,200134,201586,202949,204267,205537,206710,207877,209041,210144,211208,212190,213166,214114,214992,215841,216685,217461,218187,218900,219620,220255,220909,221532,222177,222758,223286,223823,224340,224842,225337,225841,226257,226705,227104,227566,227981,228399,228768,229134,229515,229843,230165,230488,230796,231095,231392,231678,231933,232168,232408,232676,232918,233123,233355,233545,233745,233944,234150,234344,234522,234700,234871,235043,235196,235357,235518,235676,235802,235937,236068,
19920,0,23,246,974,2464,4913,8124,12143,16566,21538,26721,32097,37629,43097,48491,53871,59229,64278,69314,74159,78757,83234,87491,91655,95628,99431,103110,106576,109967,113300,116342,119342,122210,124952,127487,129972,132304,134581,136755,138881,140873,142725,144545,146361,148066,149672,151215,152686,154136,155503,156806,158027,159223,160421,161519,162587,163622,164612,165595,166489,167342,168164,168977,169785,170561,171304,172016,172671,173332,173945,174531,175143,175706,176231,176779,177236,177732,178215,178636,179106,179532,179951,180347,180707,181036,181364,181728,182085,182416,182724,183038,183350,183621,183893,184163,184408,184630,184856,185075,185300,185539,185737,185955,186169,186352,186517,186709,186875,187039,187194,187359,187478,187613,187744,187875,188014,188160,188276,188404,
19930,0,1,40,249,803,1785,3294,5359,7757,10658,13839,17282,20845,24458,28108,31909,35698,39409,42964,46409,49887,53234,56582,59788,62966,65898,68784,71694,74353,77004,79536,81912,84303,86488,88564,90647,92645,94535,96385,98216,99856,101528,103102,104677,106019,107390,108797,110071,111338,112540,113688,114747,115816,116826,117815,118757,119721,120605,121448,122271,123032,123821,124572,125232,125858,126497,127052,127626,128215,128707,129223,129811,130317,130828,131274,131730,132206,132682,133105,133513,133930,134283,134643,134987,135352,135652,135968,136324,136609,136889,137182,137473,137728,137984,138232,138456,138693,138917,139153,139353,139560,139757,139940,140097,140283,140447,140610,140787,140934,141063,141215,141365,141495,141616,141759,141895,142020,142117,142233,
19940,0,0,3,33,140,419,862,1538,2454,3571,4939,6508,8228,10153,12103,14157,16247,18352,20630,22896,25113,27275,29387,31412,33466,35458,37410,39329,41244,43089,44846,46544,48176,49841,51454,53001,54501,55940,57305,58672,60020,61240,62457,63606,64715,65804,66856,67854,68868,69809,70763,71649,72506,73306,74056,74810,75553,76204,76901,77620,78266,78874,79523,80148,80709,81255,81754,82258,82723,83216,83648,84094,84520,84937,85314,85686,86032,86388,86693,87019,87323,87627,87938,88241,88522,88815,89100,89358,89625,89867,90091,90315,90544,90736,90930,91103,91286,91480,91718,91904,92104,92259,92407,92573,92716,92863,92996,93145,93278,93394,93508,93620,93746,93853,93956,94059,94180,94273,94373,
1995103967,352320,544368,682655,785324,864263,926902,977518,1019704,1055480,1085375,1111195,1133589,1153152,1170263,1185782,1199728,1212215,1223409,1233734,1242818,1251180,1258983,1266203,1272733,1278861,1284477,1289582,1294401,1299009,1303204,1307113,1310718,1314179,1317412,1320519,1323393,1326092,1328657,1331027,1333256,1335355,1337376,1339327,1341074,1342757,1344354,1345883,1347315,1348745,1350106,1351335,1352510,1353647,1354669,1355692,1356698,1357659,1358583,1359423,1360226,1361000,1361776,1362467,1363135,1363810,1364411,1365021,1365605,1366203,1366713,1367232,1367664,1368085,1368565,1369024,1369433,1369820,1370224,1370613,1370967,1371326,1371675,1371980,1372295,1372610,1372886,1373163,1373440,1373686,1373958,1374211,1374430,1374640,1374843,1375039,1375207,1375382,1375572,1375743,1375935,1376087,1376233,1376377,1376518,1376668,1376804,1376920,1377054,1377182,1377309,1377412,1377524,1377626,1377721,1377832,1377924,1378030,1378113,1378199,
199641005,205025,364277,489420,587307,665263,728335,780212,823803,860800,892403,920105,944156,965347,983965,1000647,1015817,1029288,1041587,1052835,1063041,1072371,1080821,1088601,1095812,1102466,1108652,1114473,1119888,1124864,1129635,1133904,1137923,1141712,1145264,1148611,1151647,1154636,1157361,1160038,1162522,1164952,1167249,1169358,1171346,1173216,1174981,1176591,1178269,1179825,1181287,1182678,1184002,1185248,1186461,1187646,1188726,1189784,1190779,1191701,1192626,1193480,1194343,1195134,1195923,1196656,1197331,1198066,1198722,1199366,1199996,1200570,1201108,1201663,1202174,1202659,1203118,1203585,1204042,1204476,1204894,1205245,1205636,1205988,1206326,1206675,1206990,1207320,1207623,1207895,1208183,1208450,1208723,1208973,1209214,1209452,1209673,1209883,1210090,1210331,1210527,1210707,1210868,1211057,1211217,1211384,1211535,1211684,1211840,1212011,1212161,1212299,1212422,1212539,1212659,1212783,1212909,1213021,1213129,1213216,
199721334,140130,274232,388667,481203,556219,618038,669343,712753,750095,782075,810066,834927,856486,875891,893008,908594,922620,935300,946999,957347,967093,975946,983981,991615,998623,1005072,1010967,1016451,1021622,1026457,1031115,1035356,1039261,1043063,1046565,1049876,1052994,1055951,1058710,1061392,1063829,1066142,1068375,1070500,1072492,1074468,1076266,1078002,1079604,1081144,1082624,1084066,1085465,1086787,1087986,1089075,1090228,1091247,1092336,1093272,1094125,1095076,1095943,1096749,1097504,1098239,1098897,1099600,1100258,1100913,1101576,1102086,1102619,1103172,1103669,1104149,1104636,1105151,1105599,1106071,1106500,1106929,1107303,1107660,1108043,1108390,1108725,1109063,1109371,1109666,1109954,1110219,1110478,1110720,1110958,1111186,1111422,1111649,1111877,1112071,1112295,1112468,1112660,1112827,1112989,1113177,1113358,1113493,1113631,1113778,1113926,1114081,1114236,1114357,1114501,1114622,1114745,1114851,1114961,
19988903,85370,190397,287180,370238,440060,498711,548318,591121,627821,659928,688356,713051,735318,754933,772539,788454,802770,815783,827759,838878,848894,858137,866493,874347,881580,888221,894380,900143,905478,910587,915326,919766,923950,927881,931570,935077,938335,941514,944482,947308,949958,952437,954782,957001,959063,961066,962933,964791,966538,968212,969792,971207,972678,974007,975313,976547,977662,978804,979882,980798,981829,982770,983637,984478,985267,986042,986813,987508,988216,988860,989478,990127,990700,991304,991853,992401,992925,993406,993903,994370,994847,995283,995663,996029,996386,996723,997072,997392,997728,998014,998332,998633,998903,999187,999453,999685,999929,1000154,1000409,1000647,1000848,1001039,1001243,1001423,1001607,1001799,1001967,1002126,1002293,1002454,1002609,1002753,1002893,1003032,1003168,1003285,1003404,1003527,1003636,
19992658,43556,116472,192599,263185,324824,377823,424035,464122,499055,530061,557689,581848,603715,623047,640747,656603,671197,684440,696444,707637,717988,727378,736108,744134,751620,758573,765037,770879,776617,781916,786859,791460,795845,799929,803838,807386,810804,814014,817088,819850,822526,825067,827489,829753,831936,834032,836079,837968,839762,841559,843215,844772,846304,847701,849074,850382,851567,852760,853919,855018,856010,856974,857977,858876,859683,860544,861407,862163,862893,863569,864204,864844,865475,866057,866641,867218,867769,868270,868820,869296,869726,870184,870583,870988,871374,871768,872149,872523,872849,873170,873489,873801,874105,874382,874641,874919,875186,875429,875651,875908,876148,876374,876558,876751,876943,877127,877312,877500,877677,877859,877999,878152,878308,878460,878600,878739,878876,878996,879125,
20001317,28474,85240,149968,211561,267671,317570,361084,399432,433285,463182,489595,513314,534574,553653,571199,587118,601621,614927,627057,638028,648255,657868,666677,674672,682261,689240,695695,701823,707428,712633,717636,722368,726739,730715,734612,738311,741733,745035,748039,750989,753780,756410,758856,761313,763545,765653,767637,769550,771384,773047,774726,776309,777831,779286,780709,782028,783233,784500,785666,786786,787822,788856,789827,790795,791728,792555,793359,794147,794900,795667,796349,797015,797654,798232,798839,799429,799970,800478,800980,801455,801931,802393,802817,803253,803704,804139,804515,804827,805184,805502,805840,806130,806427,806697,806981,807237,807493,807741,807989,808242,808474,808694,808919,809143,809337,809534,809738,809906,810059,810211,810362,810501,810663,810818,810952,811084,811230,811352,811479,
2001496,16799,58625,110700,163194,212789,257572,297620,333476,365189,393385,419039,441835,462590,481380,498337,514074,528218,541209,553113,563988,573971,583399,592009,600115,607621,614527,620954,627131,632794,638068,643001,647768,652265,656431,660290,664111,667676,670929,674149,677001,679800,682516,685027,687462,689741,691841,693855,695857,697755,699491,701195,702781,704352,705803,707217,708597,709829,711049,712253,713386,714501,715505,716472,717443,718318,719167,719989,720747,721534,722262,722950,723662,724312,724942,725570,726149,726716,727253,727781,728238,728720,729190,729663,730100,730539,730931,731307,731680,732062,732414,732779,733079,733404,733684,734000,734272,734547,734805,735063,735290,735522,735738,735969,736154,736347,736512,736713,736890,737073,737229,737394,737548,737710,737860,738026,738176,738305,738470,738593,
2002177,9058,37000,76314,119052,160785,199815,235335,267578,297160,323627,347341,369040,388675,406637,422825,438020,451820,464560,476397,487325,497239,506364,514948,522934,530214,537191,543648,549728,555512,560862,565822,570636,575040,579140,583042,586765,590237,593492,596647,599539,602368,605049,607619,610040,612333,614564,616638,618644,620509,622270,624004,625612,627192,628639,630017,631348,632669,633914,635224,636410,637489,638585,639605,640546,641497,642356,643196,643979,644777,645581,646312,647025,647733,648354,648998,649596,650147,650687,651200,651713,652218,652714,653154,653573,654006,654434,654852,655272,655626,655993,656362,656714,657030,657350,657688,657942,658228,658491,658756,659046,659276,659503,659740,659938,660144,660347,660544,660717,660898,661083,661267,661446,661584,661775,661935,662082,662239,662380,662497,
200347,4129,20971,47982,80034,113586,146253,176729,204989,231207,254973,277033,297157,315513,332226,347607,361695,374800,386710,397808,407951,417755,426653,434977,442766,450004,456707,463077,469000,474590,479807,484844,489511,493941,498143,502068,505693,509292,512502,515656,518661,521353,524055,526633,529037,531331,533459,535540,537499,539322,541024,542690,544280,545885,547426,548840,550205,551495,552765,553968,555092,556191,557173,558217,559188,560114,561026,561909,562716,563528,564343,565060,565773,566510,567158,567758,568343,568902,569486,570018,570485,571001,571487,571949,572417,572884,573269,573677,574083,574472,574841,575168,575502,575832,576120,576421,576698,576957,577233,577494,577747,577974,578208,578447,578650,578844,579072,579263,579437,579618,579812,579998,580168,580343,580505,580664,580826,580968,581111,581242,
200414,2334,13844,34543,60705,88847,116910,143802,169498,193342,215560,235962,254474,271803,287752,302438,315971,328642,340186,350787,360748,369945,378522,386738,394292,401404,407966,414218,420008,425429,430506,435302,439858,444295,448349,452092,455811,459245,462494,465568,468497,471195,473783,476260,478661,480940,483124,485188,487078,488949,490695,492376,494015,495489,496990,498457,499750,501038,502265,503470,504652,505778,506828,507859,508805,509753,510660,511504,512291,513063,513826,514567,515262,515939,516584,517197,517824,518404,518910,519439,519957,520431,520939,521406,521872,522311,522745,523172,523591,523944,524347,524695,525031,525371,525677,526002,526294,526577,526847,527107,527360,527606,527850,528103,528317,528528,528713,528909,529082,529240,529417,529596,529754,529918,530070,530204,530349,530493,530628,530766,
20052,1185,8403,23278,43328,65927,89729,112758,134994,156244,175957,194743,211791,227852,242563,255982,268817,280637,291757,301947,311573,320580,328915,336507,343847,350532,356856,362853,368618,374083,379149,383761,388241,392421,396425,400178,403813,407250,410518,413533,416328,419088,421680,424137,426603,428926,431032,433158,435019,436810,438508,440153,441725,443212,444647,446080,447382,448686,449907,451039,452112,453266,454266,455281,456273,457201,458086,458945,459755,460538,461259,462036,462728,463405,464034,464693,465312,465868,466435,466990,467525,468036,468526,468966,469413,469868,470324,470767,471170,471559,471892,472266,472586,472914,473211,473512,473787,474061,474354,474601,474852,475071,475316,475527,475725,475945,476151,476305,476484,476678,476842,477023,477192,477362,477541,477725,477851,477988,478112,478242,
20061,505,4596,14408,28776,46178,65304,84462,103603,121760,139043,155572,170952,185538,198903,211436,223030,233869,244117,253619,262579,270867,278757,286033,292994,299606,305756,311467,316857,321847,326669,331099,335350,339418,343293,346951,350376,353642,356767,359631,362379,365050,367502,369837,372174,374355,376477,378466,380359,382186,383913,385574,387127,388699,390164,391493,392817,394091,395352,396522,397628,398726,399787,400793,401712,402538,403395,404238,405095,405875,406696,407436,408138,408823,409443,410090,410730,411307,411847,412374,412903,413444,413925,414383,414854,415269,415669,416035,416455,416815,417190,417523,417831,418165,418465,418761,419053,419308,419598,419863,420120,420362,420613,420853,421065,421275,421486,421679,421857,422053,422261,422413,422605,422754,422900,423076,423212,423342,423478,423616,
20070,190,2212,8142,17550,29966,44261,59091,74427,89456,104303,118356,131676,144191,155829,166975,177586,187370,196715,205413,213695,221537,228775,235577,241969,247979,253583,258940,264063,268930,273450,277742,281913,285751,289372,292882,296239,299398,302322,305136,307791,310333,312878,315284,317531,319659,321659,323596,325415,327182,328797,330404,331962,333467,334847,336158,337451,338697,339881,341000,342100,343152,344159,345098,346071,346929,347763,348585,349398,350107,350878,351571,352265,352937,353535,354112,354684,355259,355860,356393,356914,357395,357859,358293,358747,359121,359535,359915,360319,360697,361026,361388,361740,362050,362346,362643,362936,363217,363468,363725,363991,364226,364476,364726,364956,365171,365377,365580,365775,365939,366124,366292,366465,366624,366774,366920,367043,367181,367317,367445,
20080,54,878,3821,9626,17585,27309,38213,49621,61282,72993,84302,95220,105816,115832,125426,134481,143164,151302,159037,166222,173117,179585,185796,191562,197172,202362,207278,211979,216446,220687,224552,228215,231802,235145,238461,241552,244475,247219,249888,252285,254682,256962,259121,261259,263295,265235,267120,268934,270584,272147,273661,275110,276510,277879,279180,280388,281541,282708,283729,284753,285726,286658,287587,288514,289423,290249,291041,291828,292507,293215,293898,294549,295154,295779,296300,296846,297392,297912,298412,298889,299323,299774,300219,300671,301110,301486,301873,302231,302652,303046,303389,303740,304034,304371,304668,304958,305192,305452,305711,305961,306212,306457,306691,306914,307095,307267,307468,307671,307847,308020,308165,308347,308524,308674,308797,308940,309068,309213,309328,
20090,9,319,1750,4911,9892,16314,23905,32255,41144,50180,59074,67913,76565,84932,92795,100572,107859,114869,121590,127810,133890,139648,145163,150304,155333,160113,164541,168708,172694,176613,180252,183753,187056,190232,193319,196098,198849,201416,203926,206290,208444,210629,212606,214594,216487,218307,220019,221781,223376,224912,226359,227732,229068,230354,231579,232745,233876,234972,235997,236995,237938,238850,239724,240601,241419,242210,242954,243693,244378,245069,245718,246323,246966,247534,248102,248608,249127,249614,250106,250595,251023,251450,251902,252326,252727,253081,253414,253767,254146,254484,254800,255115,255421,255683,255973,256246,256523,256768,257023,257247,257451,257674,257903,258117,258323,258506,258692,258885,259060,259250,259422,259582,259719,259848,259987,260120,260262,260409,260531,
20100,6,84,620,2081,4754,8494,13104,18540,24557,30919,37376,43964,50607,57090,63383,69561,75629,81312,86844,92164,97298,102211,106817,111262,115578,119621,123514,127187,130725,134121,137337,140414,143378,146266,149045,151687,154205,156476,158700,160777,162809,164781,166613,168435,170106,171703,173292,174887,176387,177732,179040,180225,181391,182573,183684,184783,185831,186818,187760,188645,189513,190360,191161,191995,192733,193449,194167,194850,195498,196158,196759,197394,198033,198580,199122,199642,200119,200564,200986,201408,201807,202199,202592,202983,203333,203706,204051,204394,204708,205018,205339,205627,205919,206204,206482,206757,206979,207227,207435,207663,207878,208085,208292,208497,208706,208903,209091,209258,209404,209576,209723,209877,210018,210159,210291,210429,210570,210697,210807,
20110,0,19,157,633,1677,3390,5728,8676,12037,15868,19977,24354,28702,33215,37588,41845,46268,50467,54791,58805,62712,66451,70164,73664,77050,80255,83315,86406,89270,92086,94740,97327,99778,102044,104329,106506,108528,110535,112423,114297,116122,117891,119534,121098,122618,124024,125427,126774,128114,129255,130341,131487,132571,133581,134546,135514,136420,137313,138190,138995,139794,140557,141285,141988,142679,143350,144001,144636,145210,145775,146332,146857,147391,147899,148400,148919,149380,149788,150192,150615,150967,151340,151695,152051,152395,152728,153069,153362,153655,153955,154228,154497,154768,155017,155252,155475,155720,155953,156132,156372,156567,156748,156934,157107,157277,157453,157613,157789,157956,158099,158241,158388,158511,158666,158786,158916,159039,159165,159276,
20120,0,0,10,92,318,798,1565,2673,4041,5695,7711,9957,12189,14592,17046,19579,22052,24649,27274,29834,32375,34925,37358,39757,42168,44384,46639,48822,50932,52972,54939,56783,58596,60320,61974,63585,65142,66679,68121,69569,70882,72187,73403,74660,75796,76934,78059,79142,80143,81116,82076,82952,83798,84704,85482,86283,87058,87760,88506,89208,89844,90488,91055,91641,92233,92805,93339,93814,94306,94810,95297,95724,96187,96638,97061,97441,97850,98207,98543,98890,99234,99562,99892,100183,100468,100740,101009,101279,101552,101817,102058,102307,102518,102727,102937,103136,103309,103492,103682,103872,104071,104239,104391,104549,104693,104845,104983,105118,105274,105420,105544,105677,105798,105908,106031,106137,106247,106355,106458,
2013128836,385716,574137,706702,804167,878578,937625,985050,1024565,1057776,1085843,1109942,1131031,1149557,1166047,1180599,1193668,1205559,1216128,1225745,1234455,1242461,1249837,1256641,1262843,1268605,1273921,1278845,1283344,1287687,1291641,1295346,1298932,1302280,1305262,1308169,1310942,1313473,1315872,1318144,1320253,1322213,1324114,1325925,1327555,1329159,1330688,1332117,1333511,1334848,1336081,1337303,1338447,1339568,1340568,1341544,1342509,1343444,1344287,1345137,1345943,1346688,1347446,1348123,1348811,1349472,1350088,1350656,1351205,1351703,1352275,1352813,1353255,1353735,1354162,1354570,1354954,1355331,1355753,1356080,1356432,1356781,1357112,1357434,1357716,1357989,1358250,1358495,1358782,1359012,1359246,1359492,1359695,1359891,1360102,1360284,1360447,1360640,1360827,1360994,1361145,1361297,1361450,1361590,1361722,1361860,1362000,1362154,1362285,1362409,1362544,1362660,1362775,1362876,1363002,1363096,1363208,1363301,1363367,1363453,
201457382,238535,401061,524148,618835,693050,752896,802018,842962,878088,907968,933821,956349,976307,993859,1009758,1023893,1036655,1048050,1058613,1068170,1076835,1084777,1092111,1098913,1105273,1111098,1116485,1121489,1126089,1130462,1134569,1138472,1142175,1145510,1148730,1151741,1154632,1157217,1159709,1162086,1164335,1166461,1168501,1170424,1172199,1173939,1175540,1177104,1178527,1179948,1181324,1182657,1183865,1185046,1186191,1187270,1188280,1189241,1190182,1191051,1191924,1192713,1193434,1194145,1194811,1195491,1196122,1196752,1197364,1197927,1198462,1199013,1199522,1200034,1200490,1200974,1201379,1201787,1202174,1202553,1202915,1203262,1203604,1203927,1204253,1204564,1204866,1205137,1205422,1205711,1205959,1206228,1206468,1206690,1206926,1207143,1207357,1207553,1207739,1207915,1208066,1208214,1208376,1208534,1208687,1208856,1209001,1209136,1209262,1209416,1209540,1209651,1209781,1209924,1210022,1210146,1210239,1210357,1210440,
201532058,170490,311170,425269,515459,588172,647503,696270,737681,773185,803727,830140,853533,874091,892379,908552,923288,936535,948511,959396,969333,978407,986946,994764,1001737,1008359,1014473,1020089,1025264,1030135,1034805,1039039,1043064,1046747,1050290,1053583,1056672,1059599,1062396,1065086,1067573,1069880,1072189,1074294,1076284,1078260,1080020,1081650,1083267,1084856,1086346,1087698,1089046,1090359,1091600,1092770,1093816,1094870,1095919,1096872,1097798,1098680,1099519,1100341,1101088,1101846,1102558,1103280,1103923,1104514,1105121,1105725,1106245,1106771,1107278,1107765,1108202,1108705,1109185,1109591,1110003,1110413,1110816,1111190,1111511,1111831,1112195,1112506,1112812,1113104,1113386,1113647,1113904,1114155,1114407,1114639,1114861,1115065,1115268,1115486,1115693,1115895,1116080,1116263,1116414,1116595,1116750,1116898,1117051,1117191,1117325,1117479,1117594,1117735,1117889,1118004,1118113,1118228,1118335,1118433,
201615200,110768,225520,325815,408791,477535,534518,582361,623228,658490,688819,715533,739047,759990,778596,795199,810284,823874,836212,847683,858071,867405,875977,883952,891428,898386,904864,910709,916187,921197,925897,930427,934578,938558,942297,945921,949246,952375,955279,958013,960583,962974,965287,967462,969637,971626,973499,975293,976961,978682,980254,981793,983206,984640,985903,987062,988256,989399,990484,991489,992392,993301,994245,995072,995925,996753,997503,998222,998875,999554,1000223,1000796,1001380,1001938,1002503,1003050,1003546,1004013,1004516,1004994,1005439,1005844,1006249,1006629,1006994,1007334,1007666,1008015,1008359,1008675,1008958,1009246,1009524,1009787,1010052,1010290,1010530,1010769,1010973,1011204,1011439,1011622,1011805,1011985,1012165,1012314,1012479,1012669,1012834,1012978,1013138,1013291,1013444,1013572,1013718,1013843,1013977,1014093,1014236,1014346,
20175428,61512,145737,227831,300831,362608,415713,461071,500579,534434,564277,590820,614270,634867,653519,670202,685267,699082,711639,723095,733639,743501,752463,760759,768447,775549,782190,788319,793993,799378,804415,809144,813574,817660,821433,825084,828577,831880,834932,837796,840488,843039,845500,847829,850040,852153,854196,856056,857879,859576,861293,862821,864331,865709,867118,868387,869561,870699,871875,872938,873921,874893,875838,876798,877658,878472,879247,879998,880739,881428,882093,882772,883418,884006,884557,885151,885730,886198,886711,887181,887628,888086,888497,888905,889308,889676,890062,890443,890742,891075,891400,891695,892007,892287,892556,892822,893068,893336,893569,893799,894015,894223,894433,894645,894824,894999,895162,895339,895490,895665,895806,895948,896109,896255,896424,896556,896668,896791,896914,897053,
20182819,42104,110775,181927,247656,305022,355058,398538,436496,469497,498538,524178,547045,567435,585651,602344,617567,631473,644219,655795,666451,676227,685291,693443,701085,708135,714831,721028,726990,732352,737483,742366,746862,751054,754956,758644,762119,765433,768509,771456,774177,776815,779417,781796,784124,786268,788293,790174,792001,793740,795469,797029,798517,799991,801309,802676,803900,805080,806288,807376,808406,809410,810312,811259,812164,813004,813808,814593,815367,816100,816793,817437,818073,818684,819274,819849,820376,820884,821424,821868,822365,822777,823217,823667,824092,824479,824863,825234,825568,825884,826231,826554,826841,827134,827373,827609,827881,828146,828413,828643,828874,829088,829311,829502,829682,829883,830062,830250,830409,830558,830727,830902,831068,831224,831379,831505,831651,831780,831893,832014,
20191255,26535,78651,138023,195285,246994,293312,334051,369831,401469,429471,454310,476627,496713,515077,531591,546651,560301,572906,584437,595044,604772,613668,622056,629753,636977,643638,649818,655732,661201,666310,671197,675706,680118,684077,687627,691118,694466,697585,700554,703343,705977,708536,710958,713285,715525,717556,719485,721335,723080,724785,726387,727897,729345,730685,732035,733312,734543,735624,736761,737809,738862,739839,740782,741670,742468,743288,744132,744874,745599,746330,747039,747688,748303,748925,749503,750073,750591,751118,751615,752122,752584,753042,753447,753893,754298,754689,755082,755457,755825,756139,756478,756793,757080,757367,757645,757902,758169,758423,758679,758905,759109,759338,759545,759765,759926,760112,760311,760468,760667,760813,760977,761132,761293,761440,761600,761728,761847,761973,762102,
2020473,15234,52698,99370,147239,192735,233904,271008,304198,333756,359942,383791,405105,424306,441685,457679,472231,485712,497953,509232,519649,529490,538342,546645,554354,561420,568087,574310,580098,585511,590701,595453,600080,604342,608394,612118,615638,619136,622292,625237,628108,630837,633352,635819,638077,640313,642404,644397,646314,648076,649796,651516,652977,654480,655891,657262,658624,659786,660940,662083,663162,664265,665304,666238,667213,668092,668901,669754,670532,671297,671999,672669,673325,673970,674573,675124,675712,676261,676790,677301,677780,678247,678697,679145,679518,679933,680359,680770,681148,681503,681822,682149,682445,682765,683058,683313,683602,683877,684120,684358,684589,684810,685005,685213,685397,685599,685772,685961,686140,686306,686470,686643,686803,686956,687121,687269,687401,687535,687676,687802,
2021119,7429,31199,65543,103081,140598,176039,208255,237724,264793,289078,311145,331264,349519,366319,381435,395426,408290,420087,430908,441160,450556,459265,467288,474725,481633,488127,494266,499989,505318,510374,515131,519525,523855,527923,531638,535193,538408,541610,544635,547383,550026,552574,555058,557392,559587,561615,563642,565521,567270,569028,570695,572235,573714,575172,576599,577868,579141,580362,581474,582612,583688,584707,585726,586733,587597,588451,589273,590077,590804,591558,592263,592933,593540,594206,594787,595404,595942,596471,596983,597491,598006,598465,598925,599348,599761,600173,600544,600918,601283,601630,601988,602286,602622,602894,603174,603449,603716,603949,604220,604471,604696,604919,605130,605327,605504,605682,605895,606069,606230,606413,606581,606748,606908,607050,607218,607370,607512,607640,607762,
202260,4455,21811,48559,79968,112358,143519,172598,199417,224246,246940,267877,286918,304356,320430,335062,348605,361005,372408,382962,392728,401770,410285,418113,425410,432337,438726,444804,450509,455905,460778,465403,469820,473940,477939,481606,485137,488562,491680,494578,497370,500158,502646,505025,507376,509564,511547,513600,515546,517349,519055,520641,522133,523659,525182,526534,527871,529162,530342,531528,532600,533614,534596,535588,536511,537375,538213,539031,539836,540605,541369,542068,542739,543431,544079,544646,545240,545833,546355,546892,547390,547864,548326,548799,549231,549709,550147,550541,550937,551304,551661,551986,552319,552655,552947,553207,553480,553763,554019,554272,554519,554795,555011,555214,555431,555630,555839,556006,556192,556379,556567,556735,556892,557060,557230,557373,557516,557660,557789,557916,
202310,2379,13757,33908,58504,85488,111973,137505,161701,184098,205037,224292,241886,258162,273254,287014,299653,311492,322368,332431,341882,350664,358948,366616,373735,380392,386671,392605,398121,403413,408153,412873,417183,421354,425225,428884,432277,435592,438595,441583,444304,446988,449477,451964,454228,456447,458461,460493,462371,464115,465780,467389,468966,470450,471872,473215,474496,475722,477006,478094,479195,480276,481234,482177,483086,484030,484877,485703,486542,487304,488109,488825,489479,490138,490755,491322,491870,492419,492950,493418,493929,494390,494863,495307,495734,496163,496614,496999,497391,497773,498124,498451,498792,499108,499396,499694,499993,500263,500523,500765,501036,501264,501504,501745,501954,502171,502371,502568,502761,502937,503101,503263,503436,503599,503765,503923,504060,504191,504307,504444,
20244,1109,8115,21889,40746,61988,84032,105764,126723,146733,165368,182630,198641,213622,227440,240208,252095,263038,273229,282928,291972,300364,308242,315710,322582,329208,335157,340691,346134,351163,355741,360198,364374,368369,372266,375695,379088,382305,385402,388165,390880,393467,395882,398256,400527,402673,404708,406684,408619,410397,412045,413742,415295,416828,418271,419637,420834,421989,423171,424344,425370,426441,427405,428387,429278,430157,431004,431863,432653,433393,434166,434875,435579,436237,436819,437441,437968,438519,439056,439559,440055,440554,441033,441447,441842,442253,442700,443105,443473,443860,444201,444561,444882,445192,445496,445799,446087,446355,446612,446851,447069,447322,447553,447756,447996,448217,448417,448631,448828,448991,449166,449330,449482,449650,449788,449943,450101,450241,450372,450478,
20251,489,4180,12829,25865,41338,58750,76187,93406,110203,126189,141223,155423,168738,181255,192908,203756,214039,223648,232658,241061,248838,256208,263007,269475,275551,281232,286663,291764,296472,300961,305190,309305,313103,316693,320164,323450,326485,329295,331964,334667,337339,339702,341962,344151,346245,348255,350184,351944,353704,355280,356828,358336,359814,361162,362485,363742,364928,366052,367171,368221,369242,370243,371177,372088,372999,373842,374633,375403,376123,376839,377556,378212,378834,379471,380079,380670,381235,381763,382240,382729,383214,383667,384090,384527,384897,385277,385672,386065,386431,386787,387118,387453,387777,388057,388345,388626,388883,389160,389432,389660,389873,390126,390360,390572,390786,390980,391155,391338,391522,391699,391841,392003,392159,392331,392489,392631,392781,392903,393024,
20260,144,1814,6548,14789,25537,37814,50931,64453,77699,90667,103262,115436,126820,137471,147642,157086,166083,174712,182609,190162,197287,204023,210407,216384,221930,227190,232264,236944,241458,245665,249551,253325,256918,260375,263659,266767,269681,272444,274993,277443,279823,282023,284129,286140,288220,290120,291974,293710,295301,296873,298355,299797,301222,302499,303735,304982,306194,307280,308337,309389,310385,311321,312246,313098,313982,314784,315581,316332,317011,317686,318328,318951,319608,320213,320776,321317,321834,322343,322832,323335,323753,324200,324636,325030,325420,325788,326192,326571,326948,327285,327620,327945,328241,328540,328810,329087,329337,329577,329812,330037,330260,330513,330740,330942,331159,331363,331559,331754,331928,332103,332261,332430,332602,332756,332929,333062,333189,333324,333447,
20270,41,726,3252,8006,14732,23167,32823,43131,53312,63516,73603,83421,92811,101815,110495,118674,126505,133767,140855,147606,153845,159830,165597,170919,176008,180843,185405,189610,193737,197693,201326,204919,208224,211442,214472,217470,220241,222811,225299,227645,229911,232009,234095,236065,237926,239714,241404,243041,244698,246256,247701,249036,250322,251568,252861,253999,255082,256186,257212,258179,259077,260007,260889,261737,262572,263346,264090,264782,265445,266142,266770,267359,267999,268552,269129,269646,270164,270656,271106,271578,272012,272438,272833,273250,273663,274035,274394,274773,275109,275448,275784,276091,276361,276648,276926,277196,277478,277730,277977,278188,278419,278660,278889,279075,279303,279496,279670,279871,280042,280211,280381,280533,280684,280828,280969,281119,281251,281392,281517,
20280,6,220,1211,3536,7403,12453,18743,25589,32897,40428,48018,55638,62962,70180,77022,83809,90246,96391,102414,107961,113190,118233,123138,127746,132212,136519,140615,144480,148088,151438,154750,157916,161054,163954,166660,169334,171784,174151,176376,178473,180550,182521,184359,186220,187918,189513,191120,192592,194098,195476,196812,198106,199299,200496,201654,202776,203834,204805,205747,206732,207639,208482,209296,210115,210893,211614,212323,213006,213670,214267,214864,215452,216033,216569,217127,217567,218064,218559,219035,219474,219923,220332,220724,221130,221543,221919,222259,222595,222932,223224,223505,223791,224042,224308,224603,224864,225151,225364,225601,225817,226016,226221,226446,226653,226848,227022,227187,227352,227519,227673,227825,227961,228115,228252,228404,228535,228658,228777,228902,
20290,1,36,308,1156,2739,5249,8461,12385,16706,21464,26383,31428,36638,41875,46774,51756,56615,61182,65859,70436,74638,78635,82598,86303,89959,93397,96734,99846,102876,105790,108515,111159,113723,116121,118469,120708,122891,124955,126998,128925,130713,132494,134219,135806,137345,138804,140245,141598,142851,144040,145214,146366,147446,148491,149513,150528,151558,152455,153389,154223,155039,155768,156563,157288,157958,158621,159262,159877,160470,161053,161614,162178,162708,163209,163670,164150,164588,165003,165414,165808,166173,166551,166913,167251,167573,167912,168228,168523,168827,169134,169402,169664,169917,170182,170459,170682,170921,171153,171352,171539,171731,171932,172118,172298,172457,172634,172808,172959,173104,173292,173442,173595,173729,173849,173982,174112,174222,174349,174461,
20300,0,4,37,173,574,1297,2409,3962,5874,8098,10645,13395,16137,19053,22003,25098,28169,31209,34300,37221,39980,42777,45456,48074,50577,53065,55453,57691,59872,62096,64249,66237,68131,69994,71761,73404,75129,76729,78308,79863,81315,82668,83928,85222,86449,87602,88779,89849,90841,91842,92830,93734,94597,95461,96320,97134,97911,98665,99401,100100,100746,101411,102026,102636,103194,103745,104302,104807,105294,105806,106310,106797,107254,107705,108132,108518,108905,109276,109636,109980,110307,110632,110934,111259,111589,111895,112207,112507,112801,113047,113309,113558,113780,114005,114218,114443,114621,114823,115023,115208,115400,115578,115734,115895,116033,116176,116326,116465,116588,116719,116835,116958,117078,117227,117335,117428,117538,117646,117748,
2031151192,414129,598976,726471,819597,890203,946133,991503,1028808,1060243,1086806,1110004,1129925,1147772,1163307,1177169,1189783,1201162,1211316,1220497,1228911,1236458,1243507,1250022,1255925,1261300,1266382,1271138,1275541,1279730,1283604,1287187,1290499,1293687,1296532,1299211,1301813,1304276,1306650,1308853,1310938,1312932,1314792,1316541,1318199,1319785,1321246,1322655,1324010,1325263,1326497,1327633,1328776,1329841,1330794,1331733,1332675,1333541,1334355,1335128,1335922,1336683,1337364,1337994,1338589,1339254,1339835,1340442,1340958,1341484,1342011,1342493,1342938,1343416,1343845,1344283,1344691,1345097,1345465,1345821,1346184,1346507,1346827,1347135,1347378,1347652,1347927,1348198,1348429,1348685,1348903,1349131,1349334,1349539,1349733,1349919,1350109,1350297,1350464,1350631,1350773,1350926,1351076,1351210,1351349,1351479,1351602,1351726,1351840,1351976,1352107,1352204,1352313,1352427,1352545,1352635,1352739,1352842,1352944,1353025,
203272743,267430,429920,550789,641974,713387,770864,817521,856666,889850,917999,942747,964413,983261,999809,1014730,1028304,1040425,1051474,1061604,1070654,1078937,1086708,1093837,1100247,1106297,1111862,1116997,1121671,1126169,1130406,1134422,1138027,1141486,1144676,1147743,1150605,1153313,1155782,1158247,1160528,1162649,1164761,1166728,1168537,1170249,1171854,1173407,1174908,1176330,1177653,1178969,1180255,1181436,1182589,1183633,1184651,1185653,1186582,1187426,1188284,1189073,1189822,1190535,1191220,1191860,1192504,1193127,1193707,1194299,1194882,1195427,1195898,1196397,1196878,1197323,1197730,1198134,1198537,1198923,1199317,1199691,1200017,1200356,1200666,1200970,1201250,1201574,1201864,1202141,1202408,1202646,1202878,1203101,1203313,1203539,1203726,1203930,1204128,1204291,1204486,1204656,1204808,1204978,1205135,1205273,1205395,1205529,1205664,1205769,1205924,1206041,1206181,1206298,1206425,1206536,1206630,1206743,1206839,1206929,
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21070,1079,11752,39479,82275,135001,193010,252246,311172,368852,424448,477699,528165,576271,622031,665090,705818,744124,780630,815820,849162,880496,910404,939160,966512,992616,1017819,1041718,1064656,1086730,1107667,1127883,1147581,1166421,1184418,1201957,1218644,1234888,1250419,1265741,1280370,1294547,1308237,1321478,1334411,1346923,1359076,1370848,1382304,1393129,1404099,1414672,1424996,1434814,1444484,1453848,1463380,1472425,1481126,1489671,1497909,1505998,1514001,1521778,1529505,1536963,1544211,1551259,1558270,1565121,1571834,1578402,1584906,1591260,1597335,1603363,1609254,1615039,1620644,1626190,1631601,1636991,1642282,1647465,1652573,1657528,1662451,1667268,1671926,1676589,1681100,1685647,1690034,1694388,1698541,1702776,1706911,1711030,1715014,1719033,1722928,1726786,1730435,1734215,1737931,1741616,1745162,1748670,1752066,1755501,1758897,1762193,1765386,1768552,1771693,1774890,1777986,1781009,1783911,1786851,
21080,223,4003,17758,43239,78187,120197,165896,213069,261201,309054,356370,401993,445817,488409,529225,567929,605120,640769,674836,707633,738709,768888,797664,825378,851942,876830,901214,924754,947470,969111,989849,1010235,1030020,1049120,1067296,1084908,1101852,1118180,1133891,1149338,1164281,1178820,1193058,1206690,1220128,1233158,1245607,1258039,1269759,1281452,1292647,1303639,1314483,1325012,1335071,1345016,1354631,1364032,1373254,1382415,1391199,1399832,1408256,1416475,1424590,1432428,1440133,1447740,1455107,1462397,1469461,1476467,1483330,1489946,1496456,1502740,1509057,1515388,1521494,1527513,1533330,1539031,1544655,1550048,1555419,1560761,1566085,1571182,1576219,1581213,1586220,1591054,1595783,1600533,1605364,1609926,1614565,1618908,1623269,1627508,1631681,1635873,1640048,1643978,1647887,1651796,1655763,1659492,1663261,1667004,1670612,1674179,1677627,1681120,1684591,1687943,1691305,1694731,1698085,
21090,19,935,5912,17753,37025,62744,93506,127558,164017,201631,239763,277876,315617,352410,388778,424154,458253,491146,522972,554130,583962,612935,640994,667670,693654,718874,743166,766754,789358,811170,832435,853122,872833,892007,910903,929024,946622,963502,980289,996314,1011886,1027195,1041906,1056288,1070104,1083845,1097301,1110211,1122884,1135078,1147134,1158686,1170237,1181238,1191981,1202648,1212953,1223179,1233050,1242775,1252127,1261331,1270419,1279220,1288086,1296565,1305040,1313359,1321359,1329144,1337068,1344563,1351994,1359257,1366401,1373336,1380108,1386900,1393574,1400050,1406393,1412784,1419027,1425084,1430990,1436831,1442648,1448268,1453816,1459251,1464651,1470013,1475215,1480376,1485514,1490455,1495401,1500329,1505048,1509686,1514364,1518984,1523583,1528002,1532395,1536768,1541195,1545452,1549596,1553664,1557729,1561733,1565694,1569660,1573476,1577270,1580953,1584559,1588218,
21100,1,130,1216,5117,13084,25466,42015,62553,85848,111365,138149,166273,195323,224579,253606,282784,311824,340235,368174,395834,422403,448478,474011,498840,522886,546606,569878,592187,613872,635364,655778,675958,695337,714496,733082,751180,768890,786132,802644,819093,834915,850274,865387,880175,894589,908678,922352,935668,948871,961709,974283,986543,998452,1010198,1021581,1032893,1043958,1054758,1065143,1075231,1085323,1095269,1104974,1114470,1123809,1132739,1141760,1150573,1159105,1167404,1175530,1183690,1191628,1199404,1207199,1214870,1222436,1229837,1237139,1244312,1251328,1258082,1264929,1271483,1277873,1284341,1290656,1296871,1303023,1309123,1315132,1321020,1326752,1332458,1337971,1343479,1348835,1354215,1359426,1364776,1369803,1374866,1379895,1384838,1389718,1394530,1399220,1403900,1408559,1413155,1417688,1422119,1426494,1430809,1435157,1439300,1443429,1447563,1451543,
21110,0,9,124,784,2711,6589,12686,21528,32756,46299,61793,78683,96851,115962,136099,156668,177774,199225,220635,241957,263338,284757,306142,327156,347779,368155,388150,407688,427071,446253,464965,483554,501619,519304,536577,553716,570451,586709,602724,618516,633941,648986,663931,678364,692451,706191,719941,733189,746249,759054,771678,784073,796097,807971,819742,831094,842318,853359,864273,874949,885338,895535,905452,915174,924868,934448,943723,953010,961914,970830,979792,988415,996788,1005260,1013331,1021486,1029506,1037182,1044912,1052534,1059790,1067123,1074386,1081570,1088632,1095372,1102074,1108840,1115482,1121894,1128477,1134791,1141191,1147283,1153328,1159362,1165300,1171122,1176995,1182759,1188415,1193957,1199417,1204818,1210164,1215309,1220588,1225616,1230635,1235634,1240604,1245539,1250482,1255326,1260043,1264712,1269259,1273720,1278146,
21120,0,1,14,156,710,2088,4649,8779,14393,21725,30774,41205,53044,66073,80188,95104,110510,126536,143260,160190,176895,194165,211446,228735,246157,263654,280863,298105,314977,331881,348685,365274,381610,397708,413328,429022,444464,459582,474683,489174,503618,517908,532132,545855,559461,572862,586165,598965,611641,624080,636547,648435,660175,671667,683205,694601,705719,716727,727409,737966,748373,758561,768727,778609,788278,797852,807245,816324,825498,834388,843221,851732,860406,868931,877328,885511,893519,901290,909115,916860,924452,931949,939454,946668,953911,960933,968010,974937,981769,988622,995358,1001851,1008373,1014748,1021056,1027223,1033332,1039360,1045376,1051274,1057090,1062849,1068628,1074163,1079803,1085214,1090562,1095868,1101276,1106645,1111788,1116969,1122001,1127007,1131952,1136848,1141727,1146364,1151071,
21130,0,0,1,16,101,402,1119,2513,4790,8080,12303,17696,23971,31422,39649,48686,58562,69180,80365,92291,104465,116945,129561,142810,156257,169835,183318,196951,210598,224361,238244,252055,265752,279176,292936,306319,319785,332942,346074,358956,371845,384541,397158,409672,422020,434320,446319,458136,469683,481172,492673,503939,515023,526138,536984,547782,558249,568677,579082,589268,599390,609331,619169,628890,638388,647644,656966,666179,675051,683886,692616,701243,709718,718218,726393,734459,742469,750494,758302,765983,773675,781219,788628,795879,803232,810591,817594,824747,831592,838428,845155,851684,858192,864745,871282,877748,884008,890102,896159,902409,908385,914265,920106,925838,931555,937120,942638,948282,953756,959156,964474,969784,974942,980108,985245,990366,995226,1000169,1005041,
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21180,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,10,12,21,41,53,81,113,152,208,290,365,446,558,700,897,1094,1327,1569,1848,2143,2519,2908,3365,3836,4323,4894,5493,6133,6797,7541,8290,9102,9983,10893,11847,12854,13865,14969,16110,17280,18476,19741,21074,22333,23691,25089,26522,28002,29544,31195,32739,34340,35977,37637,39418,41172,42994,44789,46698,48564,50445,52263,54205,56231,58205,60206,62201,64199,66294,68381,70492,72659,74857,77069,79319,81592,83885,85988,88261,90507,92719,95100,97340,99615,102018,104367,106756,109075,111419,113801,116208,118580,120985,123375,125889,128284,130629,133099,135560,137966,140402,
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21460,11,369,2881,9841,22318,40155,62229,87834,115900,145553,175874,207000,238086,268820,299568,329710,359550,388349,416209,443234,469376,495139,520053,544085,567468,590473,612574,633879,654550,674572,693994,712703,731259,749351,766877,783719,800223,816136,831509,846475,860996,875166,888995,902679,915899,928617,941179,953230,965088,976955,988600,999943,1010945,1021558,1031939,1042110,1051985,1061659,1070986,1080151,1089283,1098061,1106795,1115319,1123757,1132037,1140255,1148110,1155967,1163602,1171078,1178440,1185553,1192579,1199570,1206347,1213170,1219692,1226132,1232559,1238993,1245187,1251265,1257160,1262982,1268674,1274278,1279959,1285502,1291021,1296370,1301674,1306807,1311874,1316928,1321868,1326678,1331386,1336154,1340899,1345471,1349972,1354407,1358803,1363128,1367358,1371598,1375726,1379855,1383932,1387898,1391891,1395896,1399808,1403638,1407416,1411118,1414697,1418378,
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21890,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,4,6,14,22,26,40,60,78,104,131,171,203,263,345,417,500,619,726,849,1031,1226,1404,1631,1852,2092,2387,2687,3037,3417,3796,4227,4649,5150,5667,6202,6787,7405,8021,8669,9341,10066,10829,11608,12412,13233,14099,14969,15938,16864,17878,18897,19906,20930,22056,23137,24251,25359,26564,27796,28946,30186,31449,32700,34059,35423,36727,38124,39587,41018,42472,43839,45374,46939,48410,49997,51512,53058,54651,56194,57816,59439,61117,62777,64432,66178,67813,69526,71246,72963,74715,76357,78120,79846,81615,83471,85234,87054,
21900,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,7,10,13,18,27,38,45,58,75,99,125,161,192,228,278,330,383,468,529,613,703,803,908,1023,1159,1283,1406,1550,1727,1910,2117,2326,2553,2799,3053,3349,3635,3913,4226,4553,4918,5277,5630,6025,6415,6800,7222,7636,8100,8580,9066,9583,10090,10630,11179,11754,12269,12865,13500,14094,14753,15388,16038,16728,17409,18149,18817,19561,20338,21073,21855,22598,23379,24184,25039,25860,26695,27528,28428,29309,30175,31022,31889,32787,33757,34718,35722,36690,
21910,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,5,8,13,18,23,29,37,45,50,58,65,75,98,118,128,152,173,197,225,258,300,352,392,427,461,525,586,657,723,807,871,949,1040,1131,1238,1343,1472,1583,1712,1841,1979,2125,2264,2429,2588,2758,2909,3073,3282,3463,3652,3835,4040,4259,4501,4722,4943,5184,5418,5655,5954,6234,6517,6812,7111,7421,7699,8018,8369,8709,9028,9375,9722,10066,10485,10888,11284,11654,
21920,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,6,7,11,13,14,16,19,24,31,33,38,42,45,56,64,78,92,105,119,133,143,158,181,201,216,242,265,291,316,351,376,401,418,455,488,523,562,597,644,694,740,784,827,882,936,991,1061,1126,1185,1251,1336,1415,1474,1546,1612,1680,1754,1837,1916,2012,2111,
219319746,187106,404983,599542,763027,898865,1012475,1109272,1192206,1264221,1327004,1383140,1432923,1477279,1517719,1554763,1588182,1618972,1647054,1673283,1697355,1719613,1740463,1760199,1778539,1795877,1812089,1827370,1841744,1855461,1868499,1880913,1892723,1904029,1914564,1924628,1934357,1943686,1952519,1961022,1969207,1976981,1984503,1991737,1998615,2005379,2011777,2017909,2024068,2029939,2035511,2040881,2046142,2051403,2056335,2061207,2065814,2070328,2074758,2079048,2083177,2087137,2090995,2094807,2098584,2102247,2105763,2109078,2112367,2115486,2118612,2121620,2124605,2127554,2130366,2133185,2135841,2138499,2141158,2143624,2146140,2148556,2150938,2153207,2155513,2157761,2159941,2162028,2164161,2166193,2168254,2170211,2172185,2174073,2175957,2177768,2179592,2181366,2183145,2184866,2186456,2188084,2189684,2191250,2192666,2194195,2195767,2197216,2198569,2200009,2201402,2202836,2204211,2205502,2206763,2208073,2209364,2210610,2211869,2213088,
21941684,53262,173798,313660,448458,571986,682711,780655,868014,946141,1015997,1078850,1135699,1187467,1234924,1278024,1317894,1354573,1388610,1420324,1449670,1477485,1503445,1527833,1550622,1572197,1592620,1611719,1629851,1647198,1663848,1679511,1694258,1708317,1721924,1734953,1747344,1759099,1770268,1781090,1791609,1801481,1811161,1820645,1829619,1838207,1846549,1854791,1862712,1870308,1877691,1884911,1891634,1898333,1904655,1910977,1917031,1922962,1928748,1934247,1939694,1944991,1950153,1955224,1960096,1964809,1969366,1973785,1978183,1982392,1986500,1990539,1994472,1998391,2002078,2005722,2009428,2012924,2016394,2019767,2023069,2026209,2029350,2032357,2035362,2038348,2041166,2044048,2046762,2049521,2052256,2054882,2057369,2059948,2062405,2064891,2067228,2069637,2071941,2074222,2076443,2078614,2080800,2082903,2085034,2086978,2088946,2090922,2092836,2094689,2096548,2098401,2100185,2101930,2103668,2105317,2107035,2108738,2110348,2111919,
2195199,18415,84066,181326,287897,393511,493474,585911,670652,747356,817989,882275,941025,994693,1044554,1090543,1133394,1173150,1210423,1244614,1277193,1307735,1336184,1363163,1388166,1411960,1434570,1456237,1476654,1496075,1514803,1532351,1549184,1565248,1580686,1595540,1609635,1623327,1636342,1648923,1661047,1672518,1683573,1694365,1704812,1714884,1724672,1734048,1743060,1751717,1760201,1768417,1776435,1784086,1791611,1798827,1805871,1812506,1819304,1825866,1832101,1838374,1844342,1850146,1855830,1861332,1866717,1871922,1877106,1882163,1887048,1891859,1896480,1901046,1905434,1909675,1913895,1917995,1922171,1926109,1929968,1933849,1937527,1941173,1944747,1948254,1951707,1955086,1958401,1961554,1964632,1967646,1970715,1973621,1976569,1979432,1982322,1985038,1987757,1990387,1992989,1995562,1998070,2000548,2002984,2005332,2007581,2009865,2012102,2014405,2016561,2018667,2020732,2022782,2024846,2026900,2028924,2030897,2032875,2034717,
21965,3616,28115,78873,146688,222385,301106,377785,451743,521574,587121,648533,706171,760158,810688,857968,901990,943651,983191,1019846,1054722,1087931,1118723,1148502,1176191,1202654,1228022,1252260,1275148,1296841,1317918,1337865,1356761,1374912,1392590,1409368,1425563,1441028,1456070,1470620,1484513,1498017,1510821,1523404,1535336,1546934,1558175,1569044,1579735,1590072,1599846,1609375,1618566,1627740,1636513,1645000,1653324,1661306,1669138,1676799,1684242,1691400,1698525,1705423,1712070,1718639,1725108,1731357,1737360,1743195,1748988,1754612,1760104,1765498,1770765,1776011,1780922,1785836,1790582,1795359,1799921,1804392,1808795,1813053,1817377,1821498,1825634,1829588,1833418,1837383,1841174,1844915,1848479,1852060,1855502,1858911,1862304,1865702,1868975,1872213,1875402,1878507,1881528,1884551,1887652,1890548,1893320,1896052,1898771,1901391,1904057,1906683,1909266,1911738,1914262,1916737,1919092,1921434,1923787,1926069,
21970,230,4594,19905,48529,87827,134201,184943,238125,291581,344797,396816,446524,494743,540716,584787,627191,667594,706125,743009,778004,811418,843668,874504,903744,932116,958939,984879,1009616,1033145,1055606,1077475,1098388,1118581,1138269,1157037,1175102,1192752,1209389,1225573,1241400,1256549,1271469,1285819,1299783,1313246,1326492,1339093,1351382,1363295,1374914,1385765,1396787,1407335,1417675,1427741,1437391,1446912,1456145,1465167,1473838,1482223,1490606,1498731,1506869,1514845,1522492,1529936,1537222,1544265,1551103,1557797,1564476,1570959,1577217,1583515,1589544,1595501,1601276,1606951,1612617,1618080,1623616,1628802,1633943,1639013,1643958,1648739,1653560,1658195,1662832,1667420,1671891,1676110,1680398,1684543,1688651,1692663,1696642,1700605,1704403,1708157,1711873,1715548,1719092,1722757,1726191,1729630,1733092,1736534,1739815,1742999,1746246,1749429,1752480,1755466,1758391,1761291,1764267,1767001,
21980,34,1096,6894,20661,42946,72887,107902,146970,188042,230717,273507,316051,358230,398927,438808,477449,514824,550786,585523,619370,651707,683162,713007,741845,769798,796712,822584,847564,871614,894816,917259,938736,959690,979880,999290,1018253,1036544,1054108,1071115,1087542,1103503,1119164,1134063,1148767,1163252,1176935,1190580,1203753,1216563,1228774,1240888,1252742,1264150,1275383,1286197,1296597,1306775,1316910,1326670,1336326,1345585,1354602,1363427,1371997,1380322,1388680,1396688,1404626,1412463,1420038,1427414,1434740,1441801,1448733,1455541,1462299,1468677,1474990,1481401,1487614,1493604,1499462,1505308,1510926,1516444,1521880,1527195,1532351,1537657,1542738,1547729,1552670,1557409,1562039,1566681,1571128,1575608,1579991,1584237,1588375,1592592,1596696,1600632,1604444,1608425,1612323,1616103,1619861,1623540,1627266,1630914,1634496,1638060,1641463,1644821,1648135,1651371,1654532,1657693,
21990,3,181,1643,6425,16183,31116,51225,75417,102729,132612,163652,196221,229160,262358,295245,328312,360618,392332,423325,453813,483390,512149,540056,567256,593753,619383,644074,668468,691797,714664,736635,757918,778869,799005,818656,837802,856079,874314,891849,908862,925315,941331,956988,972319,987201,1001571,1015573,1029306,1042782,1055564,1068326,1080477,1092427,1104253,1115661,1126855,1137893,1148483,1158830,1169102,1178939,1188826,1198353,1207470,1216685,1225552,1234241,1242720,1251086,1259146,1267079,1275079,1282843,1290327,1297868,1305138,1312263,1319195,1325890,1332720,1339234,1345649,1351944,1358177,1364253,1370076,1376075,1381912,1387616,1393255,1398909,1404266,1409598,1414781,1419902,1424915,1429915,1434821,1439717,1444390,1448929,1453497,1457935,1462487,1466882,1471213,1475490,1479662,1483692,1487801,1491805,1495767,1499688,1503526,1507285,1511008,1514698,1518230,1521750,
22000,0,9,175,1177,3930,9271,17535,29002,43252,60146,78910,99419,121560,144604,168651,192816,217380,242138,267168,292139,316713,340984,364921,388285,411361,434216,456640,478354,499968,520936,541353,561210,580816,600025,618641,636986,654908,672337,689330,705933,722222,738040,753688,768716,783528,797886,812135,825907,839531,852586,865567,878342,890720,902872,914578,926199,937389,948399,959216,969795,980283,990597,1000555,1010197,1019693,1029209,1038311,1047266,1056185,1064837,1073405,1081638,1090018,1098210,1106236,1113949,1121682,1129291,1136535,1143803,1150994,1157926,1164619,1171252,1177921,1184439,1190852,1197156,1203233,1209373,1215350,1221307,1227076,1232775,1238343,1243945,1249404,1254838,1260105,1265290,1270409,1275478,1280421,1285224,1290058,1294773,1299348,1303973,1308451,1313044,1317478,1321812,1326120,1330362,1334634,1338668,1342757,1346682,1350655,
22010,0,1,13,96,470,1545,3620,7097,12162,18959,27424,37213,48581,61063,74726,89299,104604,120552,137015,153847,170851,188173,206033,223745,241382,259157,276824,294358,311654,328929,346046,363142,379669,396115,412023,427971,443796,459559,474716,489519,504350,518826,533014,547024,561087,574701,587857,600877,613737,626395,638831,650881,662704,674595,686067,697429,708614,719516,730148,740751,750968,761169,771198,781129,790813,800557,809941,819034,828105,836983,845702,854156,862464,870665,878710,886654,894501,902359,909983,917527,924904,932273,939403,946351,953300,960179,966838,973447,980088,986616,992801,998959,1005089,1011108,1017078,1023030,1028870,1034647,1040167,1045831,1051372,1056685,1062044,1067264,1072397,1077531,1082597,1087648,1092507,1097391,1102067,1106683,1111411,1115937,1120425,1124910,1129463,1133810,1138054,
22020,0,0,2,11,63,323,944,2136,4112,7125,11190,16207,22198,29367,37521,46499,56277,66866,78041,89888,102179,114944,128008,141413,154936,168505,182611,196518,210588,224553,238648,252552,266591,280364,294074,308067,321556,334807,348277,361550,374743,387441,400212,412860,425515,437683,449780,461761,473507,485196,496438,507739,518902,529963,540720,551363,561833,572265,582634,592931,602718,612510,622122,631559,640998,650083,659042,667853,676641,685220,693761,702090,710398,718605,726522,734440,742229,749872,757520,765022,772393,779757,786967,794146,800981,807923,814508,821182,827895,834171,840693,847095,853333,859357,865170,871098,877089,882818,888469,894196,899734,905124,910391,915763,921148,926273,931439,936445,941446,946369,951177,955938,960761,965403,970100,974708,979377,983882,988259,
22030,0,0,0,0,9,39,150,457,1063,2042,3475,5573,8260,11495,15397,19990,25207,31140,37653,44676,52204,60329,68882,77431,86442,95847,105437,115447,125759,136257,146651,157314,167907,178602,189628,200241,210945,221676,232487,243189,254058,264817,275404,285896,296335,306768,317223,327599,338025,348055,358099,368007,377904,387740,397515,406939,416309,425568,434819,444006,452868,461883,470511,479268,487864,496262,504543,512857,520869,528956,536882,544735,552563,560159,567699,575242,582774,589980,597186,604287,611360,618359,625377,632103,638875,645498,652146,658580,664896,671165,677346,683455,689445,695369,701317,707083,712803,718592,724263,729805,735220,740758,746108,751392,756620,761761,766942,772028,776855,781845,786737,791474,796232,801008,805662,810237,814753,819192,823604,
22040,0,0,0,0,2,3,22,61,160,381,734,1298,2089,3100,4523,6342,8527,11117,14160,17527,21309,25354,29910,34837,40153,45696,51659,57713,64080,70617,77606,84602,91655,98880,106339,114095,121872,129607,137378,145140,153009,161077,169158,177251,185363,193332,201379,209391,217325,225461,233507,241619,249630,257543,265369,273228,281008,288793,296416,304111,311748,319366,326683,334103,341427,348608,355961,363216,370311,377325,384217,391157,398000,404741,411516,418210,424834,431461,437918,444363,450740,456930,463208,469400,475512,481514,487616,493543,499343,505064,510738,516357,522010,527555,533030,538581,544090,549425,554641,560011,565280,570476,575783,580790,585780,590694,595602,600409,605154,609938,614647,619233,623773,628423,632909,637276,641778,646047,650492,
22050,0,0,0,0,0,0,0,3,14,36,87,183,352,580,920,1351,1929,2714,3762,4959,6366,7971,9841,11942,14268,16884,19453,22299,25476,28885,32554,36466,40341,44501,48746,53126,57618,62241,67098,71955,76845,82024,87328,92508,97857,103331,108800,114422,120144,125854,131587,137378,143188,148832,154616,160368,165933,171635,177528,183391,189128,194855,200591,206337,212075,217747,223441,229172,234843,240545,246166,251777,257271,262703,268275,273753,279357,284754,290194,295590,300883,306186,311343,316535,321778,326969,331905,337143,342066,347137,352187,357197,362026,366909,371725,376499,381310,386001,390584,395134,399674,404327,408845,413295,417735,422128,426544,430942,435258,439592,443796,447974,452086,456250,460457,464387,468445,472390,476254,
22060,0,0,0,0,0,0,0,1,1,2,6,18,31,60,106,183,272,407,602,850,1199,1617,2152,2724,3421,4219,5113,6197,7383,8543,9946,11450,13150,14984,16803,18862,20946,23160,25450,27899,30423,32952,35637,38515,41352,44316,47343,50360,53511,56726,60044,63410,66822,70315,73754,77264,80817,84402,88116,91763,95553,99288,103088,106895,110792,114605,118529,122440,126186,130148,134014,137924,141734,145612,149595,153529,157491,161338,165268,169279,173219,177130,181039,184930,188842,192741,196606,200521,204270,208147,211817,215720,219444,223244,227050,230795,234546,238214,241943,245646,249314,252967,256545,260193,263837,267449,270974,274560,278158,281741,285124,288622,292043,295474,298884,302193,305547,308785,312217,
22070,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,10,22,40,70,116,168,251,368,504,682,883,1127,1410,1749,2119,2550,3021,3572,4215,4955,5759,6553,7462,8427,9457,10533,11686,12929,14221,15506,16986,18485,20066,21640,23251,24911,26586,28441,30242,32207,34152,36141,38289,40240,42377,44585,46851,49148,51361,53745,56092,58456,60817,63205,65650,68114,70622,73177,75788,78382,80929,83585,86216,88827,91518,94271,96886,99474,102165,104905,107630,110317,113011,115707,118352,121015,123668,126323,129068,131783,134496,137193,139858,142550,145317,148044,150758,153455,156155,158862,161560,164127,166798,169467,172078,174649,177338,180011,182637,185288,187944,190574,193182,195752,
22080,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,11,18,31,43,65,100,127,184,257,322,408,503,631,768,938,1120,1318,1577,1839,2128,2472,2831,3227,3642,4120,4611,5121,5693,6281,6948,7641,8303,9012,9835,10615,11410,12231,13115,13993,14909,15854,16941,17979,19051,20189,21276,22407,23546,24769,26059,27353,28658,29879,31137,32469,33833,35198,36708,38080,39546,40944,42432,43928,45508,47063,48639,50204,51735,53321,54911,56521,58096,59700,61334,62989,64670,66408,68075,69851,71574,73287,74952,76659,78291,80049,81798,83524,85204,86957,88760,90471,92240,94050,95805,97591,99347,101113,102867,104644,
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24510,6,295,2494,8590,19706,35675,56243,79916,105838,133604,162337,191224,220287,248905,276921,304550,331260,357231,381930,406097,429362,451806,473232,494343,514363,533812,552542,570495,587686,604428,620447,635756,650585,665019,678714,692106,704986,717374,729369,741000,752260,762985,773528,783736,793493,803078,812229,821041,829570,837972,846106,853941,861546,868849,876136,882944,889878,896369,902771,908926,914986,920776,926523,932168,937504,942800,947971,952932,957949,962676,967347,972004,976451,980667,984969,989151,993022,996957,1000703,1004511,1008145,1011616,1015113,1018523,1021837,1025033,1028269,1031334,1034471,1037373,1040264,1043126,1045875,1048561,1051299,1053833,1056413,1058890,1061317,1063779,1066093,1068430,1070739,1072993,1075220,1077339,1079493,1081621,1083657,1085616,1087624,1089560,1091404,1093286,1095101,1096890,1098623,1100409,1102048,
24520,0,57,577,2515,6972,14700,25523,39325,55460,73451,92889,113510,134553,156133,177717,199125,220659,241846,262736,283043,302856,322560,341301,360088,377937,394998,411810,428108,443910,459314,474077,488362,502177,515631,528555,541069,553211,564939,576380,587407,598208,608640,618778,628542,638215,647415,656425,665101,673540,681833,689708,697502,705048,712446,719540,726555,733272,739781,746157,752399,758441,764465,770206,775798,781207,786518,791744,796765,801744,806644,811425,816128,820634,825077,829450,833634,837620,841604,845479,849351,853077,856766,860354,863943,867427,870750,873981,877066,880219,883250,886224,889283,892136,894851,897683,900392,903069,905575,908177,910666,913074,915364,917652,919996,922222,924447,926553,928668,930674,932768,934894,936852,938812,940783,942549,944310,946096,947913,949688,
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24580,0,0,0,0,0,1,26,62,171,390,744,1198,1887,2729,3923,5312,6931,8801,10958,13386,15904,18767,21777,24926,28372,31987,35599,39322,43165,47124,51081,55137,59244,63426,67554,71813,76159,80345,84558,88755,93009,97339,101431,105604,109648,113744,117877,121948,125932,129947,133952,137967,141838,145651,149426,153237,156911,160536,164166,167797,171223,174716,178056,181366,184779,188105,191380,194656,197744,200783,203899,206850,209777,212632,215550,218346,221151,223929,226649,229372,231984,234613,237142,239727,242305,244774,247222,249631,252007,254303,256543,258721,260920,263054,265300,267395,269590,271651,273668,275577,277486,279407,281337,283223,285113,286873,288594,290348,292093,293768,295455,297148,298869,300510,302131,303660,305214,306726,308177,
24590,0,0,0,0,0,1,6,19,49,108,215,380,654,1034,1549,2207,2994,3974,5004,6271,7633,9205,10996,12873,14895,17034,19297,21675,24105,26612,29209,31829,34667,37549,40487,43485,46383,49321,52431,55538,58636,61764,64802,67933,71098,74296,77488,80549,83697,86820,89792,92915,95987,98950,101954,104944,107920,110842,113793,116592,119486,122318,125168,128018,130752,133425,136108,138815,141442,144021,146651,149237,151711,154059,156492,158901,161362,163648,166015,168293,170577,172860,175020,177186,179309,181456,183550,185596,187636,189709,191659,193665,195676,197498,199375,201210,203107,204887,206706,208492,210238,211925,213633,215356,216884,218463,220027,221600,223157,224732,226252,227709,229164,230554,231978,233355,234766,236145,237505,
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25440,137,2260,9664,23382,41882,64213,88793,114411,140498,166451,191583,215860,239486,261994,283747,304586,324532,343644,361866,379232,395878,411442,426869,441348,455219,468554,481477,493649,505312,516572,527615,538219,548292,558088,567428,576362,585035,593408,601560,609422,616827,624103,630986,637645,644223,650589,656827,662972,668775,674380,679887,685212,690319,695503,700459,705197,709781,714270,718670,722992,727196,731228,735180,739047,742656,746317,749827,753261,756661,760011,763255,766544,769582,772536,775499,778358,781110,783842,786518,789169,791716,794212,796655,799030,801418,803777,806028,808203,810365,812486,814626,816684,818688,820676,822573,824437,826268,828097,829842,831623,833316,835005,836693,838297,839873,841385,842909,844411,845898,847327,848770,850149,851484,852828,854142,855414,856743,858030,859242,
25450,44,936,4762,13117,25702,41894,60290,80390,101025,122279,143437,164572,185123,205249,224757,243513,261766,279304,296192,312374,327920,342875,356915,370708,383861,396696,408976,420648,431902,442736,453224,463402,473118,482405,491541,500268,508707,516906,524727,532387,539631,546927,553748,560477,566975,573386,579525,585456,591270,596866,602406,607632,612805,617761,622643,627414,631926,636470,640829,645039,649222,653215,657094,660977,664745,668412,671913,675408,678836,682251,685478,688623,691764,694749,697728,700640,703439,706190,708920,711519,714154,716666,719138,721558,723912,726229,728446,730688,732804,735058,737178,739259,741289,743334,745280,747244,749131,750983,752805,754644,756364,758126,759771,761369,763046,764573,766082,767629,769127,770632,772087,773493,774873,776223,777621,778915,780260,781612,782898,
25460,12,303,1950,6259,13587,23835,36606,51025,66838,83500,100435,117634,134611,151933,168556,184937,200645,215878,230844,245523,259494,272932,286067,298778,311076,322908,334246,345268,355880,366143,376088,385787,395112,404046,412661,420912,429178,437054,444712,452008,459053,465864,472659,479135,485497,491778,497744,503556,509184,514717,520163,525404,530348,535207,540007,544678,549240,553721,558058,562316,566389,570359,574294,578054,581742,585381,588886,592293,595820,599189,602393,605533,608669,611808,614707,617550,620324,623036,625767,628468,631182,633596,636100,638572,640991,643331,645570,647838,649921,652101,654227,656301,658311,660282,662330,664191,666041,667830,669625,671429,673202,674943,676586,678291,679913,681512,683161,684741,686243,687738,689197,690558,691933,693275,694632,695995,697295,698577,699804,
25470,0,73,617,2438,6124,11858,19836,29262,39862,51653,64231,77262,90742,104032,117399,130770,143719,156672,169280,181864,194161,205930,217548,228688,239515,250070,260420,270397,280022,289386,298444,307366,315880,324144,332188,339998,347631,354914,362035,368985,375694,382237,388543,394637,400761,406566,412256,417828,423266,428538,433744,438650,443647,448484,453099,457631,462112,466379,470610,474720,478648,482515,486356,490083,493717,497355,500881,504370,507741,511003,514202,517258,520309,523293,526143,529003,531788,534425,537077,539742,542384,544925,547384,549865,552360,554597,556919,559180,561342,563477,565575,567728,569750,571760,573705,575609,577498,579388,581208,583100,584884,586583,588228,589914,591485,593088,594711,596258,597756,599229,600652,602072,603456,604853,606226,607553,608880,610206,611401,
25480,1,9,127,702,2167,4773,8680,13962,20326,27662,35930,44518,53718,63361,73219,83014,93049,103043,113089,123025,132865,142545,152039,161439,170597,179590,188328,196746,205209,213384,221299,229189,236721,243997,251035,257930,264676,271189,277515,283842,290024,296094,302050,307958,313549,319037,324253,329394,334578,339576,344435,349233,353790,358317,362711,366996,371167,375237,379247,383136,386912,390597,394230,397722,401157,404668,408082,411394,414585,417784,420868,423845,426716,429586,432362,435196,437938,440625,443184,445751,448276,450712,453075,455422,457779,459995,462188,464359,466562,468743,470818,472839,474880,476852,478667,480482,482314,484048,485857,487619,489372,491074,492790,494431,495971,497566,499094,500601,502109,503558,505003,506453,507857,509214,510598,511912,513175,514455,515716,
25490,0,0,17,159,647,1669,3484,6155,9473,13682,18632,24157,30271,36660,43354,50477,57773,65241,72805,80314,87937,95488,103025,110565,118020,125258,132513,139561,146785,153556,160349,166833,173312,179611,185864,191975,197863,203766,209431,215058,220465,225838,231149,236270,241361,246133,250912,255653,260136,264715,269115,273452,277644,281636,285648,289442,293306,297144,300897,304424,308109,311622,315093,318429,321758,324893,328011,331060,333995,337003,339883,342656,345447,348146,350811,353427,355968,358537,361074,363500,365949,368414,370749,372924,375149,377216,379399,381504,383511,385587,387626,389519,391458,393320,395200,396904,398714,400446,402243,403973,405616,407265,408883,410451,412066,413622,415118,416624,418072,419490,420900,422313,423672,425028,426331,427662,428957,430213,431404,
25500,0,0,2,28,139,437,1000,1984,3352,5229,7622,10440,13621,17290,21276,25481,29982,34661,39691,44794,49880,55365,60723,66064,71514,76986,82397,87726,92865,98172,103451,108632,113813,118941,124041,129034,133811,138630,143305,147858,152518,157134,161604,165884,170178,174350,178419,182322,186285,190207,194020,197709,201317,204926,208440,212045,215476,218768,222032,225304,228461,231606,234735,237779,240685,243599,246424,249145,251938,254625,257249,259813,262344,264856,267399,269791,272162,274473,276735,278994,281260,283417,285572,287666,289651,291594,293614,295616,297573,299427,301263,303056,304854,306583,308264,309928,311584,313271,314861,316431,318030,319544,320960,322476,323973,325484,326891,328266,329611,330945,332302,333599,334911,336192,337523,338835,340056,341269,342454,
25510,0,0,0,1,14,50,150,356,745,1299,2077,3099,4420,5991,7664,9631,11779,14252,16815,19570,22394,25434,28547,31788,35148,38437,41940,45453,48973,52549,56125,59689,63252,66842,70369,73979,77602,81170,84724,88160,91581,94899,98258,101531,104749,107998,111242,114351,117458,120483,123566,126461,129375,132247,135041,137808,140638,143313,146000,148553,151215,153735,156232,158744,161222,163575,165926,168307,170475,172656,174790,177012,179172,181292,183342,185447,187466,189467,191421,193361,195253,197109,198944,200755,202533,204217,206026,207705,209414,211052,212680,214290,215870,217434,218902,220403,221873,223356,224798,226225,227613,229079,230370,231725,233104,234453,235735,236932,238191,239445,240695,241970,243125,244258,245421,246534,247666,248756,249813,
25520,0,0,0,0,0,2,10,20,63,118,219,395,653,1024,1460,1981,2590,3333,4183,5062,6125,7270,8531,9873,11261,12704,14232,15835,17506,19196,21012,22841,24686,26613,28533,30465,32393,34323,36280,38364,40380,42433,44524,46497,48537,50520,52468,54499,56514,58480,60381,62197,64152,66028,67947,69837,71692,73553,75383,77229,79015,80761,82578,84362,86151,87939,89634,91345,92997,94690,96330,97921,99531,101092,102672,104183,105732,107205,108618,110160,111576,113031,114440,115828,117166,118516,119869,121222,122573,123829,125157,126408,127617,128866,130119,131325,132505,133603,134761,135932,137019,138139,139259,140369,141445,142467,143486,144543,145504,146591,147514,148471,149481,150395,151342,152237,153160,154036,154957,
25534296,95589,271896,457169,625062,771276,896976,1004966,1098488,1179292,1249792,1311839,1367089,1416167,1460038,1499564,1535163,1567685,1597211,1624537,1649432,1672500,1693393,1712885,1731054,1747568,1763130,1777566,1790938,1803405,1815230,1826347,1836871,1846865,1856179,1865011,1873182,1880868,1888313,1895358,1901864,1908134,1914071,1919685,1925031,1930299,1935394,1940103,1944506,1948766,1952782,1956680,1960466,1963975,1967423,1970714,1973893,1977032,1979984,1982891,1985561,1988147,1990637,1993152,1995532,1997797,1999966,2002083,2004152,2006141,2007930,2009729,2011485,2013164,2014825,2016438,2018023,2019515,2021005,2022446,2023837,2025139,2026422,2027709,2028935,2030183,2031358,2032491,2033568,2034657,2035661,2036689,2037645,2038617,2039545,2040487,2041326,2042205,2043002,2043811,2044631,2045426,2046213,2046950,2047671,2048329,2048996,2049625,2050287,2050908,2051523,2052126,2052680,2053262,2053804,2054357,2054887,2055398,2055898,2056429,
255476,13354,72919,168349,278345,389465,494856,592897,682413,764261,837919,904886,965697,1020588,1070720,1116088,1158153,1196852,1232543,1265543,1295901,1324253,1350317,1374692,1397512,1418810,1438897,1457609,1475048,1491517,1506748,1521231,1534810,1547679,1560025,1571503,1582449,1592758,1602810,1612205,1621022,1629550,1637575,1645219,1652524,1659650,1666359,1672704,1678949,1684678,1690327,1695738,1700963,1706025,1710722,1715284,1719688,1723897,1727972,1731980,1735760,1739320,1742919,1746278,1749655,1752874,1755905,1758839,1761769,1764575,1767226,1769727,1772169,1774503,1776805,1779023,1781304,1783398,1785461,1787506,1789496,1791352,1793147,1794844,1796609,1798343,1799962,1801540,1803057,1804532,1805963,1807372,1808788,1810127,1811426,1812714,1814099,1815279,1816434,1817574,1818708,1819827,1820866,1821920,1822924,1823889,1824865,1825829,1826760,1827715,1828580,1829463,1830313,1831103,1831907,1832687,1833435,1834214,1834922,1835638,
25551,2547,23592,71616,139461,217199,298310,377993,454400,527171,594855,657673,715954,770476,820656,866670,909621,949800,987005,1021574,1053660,1083302,1111550,1138033,1162730,1185842,1207687,1228329,1247472,1265707,1282997,1299245,1314552,1329150,1342990,1356223,1368471,1380052,1391315,1401992,1412375,1422237,1431482,1440322,1448907,1457012,1464967,1472312,1479345,1486132,1492719,1498857,1504836,1510593,1516092,1521453,1526637,1531616,1536268,1540908,1545201,1549551,1553691,1557693,1561626,1565331,1568912,1572370,1575736,1579072,1582266,1585339,1588352,1591331,1594133,1596843,1599422,1601925,1604357,1606781,1609112,1611385,1613548,1615822,1617843,1619879,1621827,1623761,1625568,1627393,1629180,1630903,1632579,1634141,1635675,1637176,1638623,1640089,1641447,1642852,1644190,1645467,1646705,1648001,1649224,1650334,1651547,1652641,1653846,1654914,1655926,1656995,1657975,1659000,1659926,1660843,1661793,1662708,1663593,1664386,
25560,207,4473,19973,49436,90583,139292,192279,247082,301938,355194,407297,457084,504520,549384,591667,631360,669349,705312,738966,770709,800587,829039,855750,880818,904750,927109,948711,968900,988003,1006298,1023530,1039840,1055681,1070714,1085023,1098566,1111502,1123837,1135565,1146971,1157713,1168060,1178146,1187798,1196910,1205614,1213755,1221774,1229349,1236690,1243858,1250688,1257348,1263824,1270004,1275990,1281805,1287319,1292674,1297762,1302903,1307648,1312289,1316847,1321194,1325408,1329420,1333412,1337218,1340916,1344469,1347959,1351328,1354617,1357788,1360827,1363815,1366722,1369529,1372310,1374842,1377422,1379891,1382311,1384743,1387072,1389233,1391340,1393421,1395472,1397452,1399439,1401379,1403202,1405032,1406756,1408527,1410175,1411835,1413463,1415005,1416459,1417923,1419415,1420835,1422154,1423550,1424831,1426157,1427382,1428630,1429863,1431017,1432201,1433306,1434357,1435396,1436442,1437409,
25570,8,355,3035,10659,24453,44697,70167,99395,131399,164933,199255,234036,268116,301756,334773,366675,397468,427645,456439,484003,510356,535541,559753,582838,604839,625982,646125,665517,683858,701783,718931,734881,750598,765282,779437,793024,806176,818892,831113,842840,853884,864503,874641,884599,894236,903429,912135,920628,928937,936843,944585,951890,959037,965888,972497,978828,985029,990929,996740,1002373,1007669,1013082,1018117,1023052,1027810,1032425,1036957,1041416,1045629,1049747,1053699,1057591,1061306,1065046,1068524,1071970,1075332,1078570,1081682,1084643,1087604,1090547,1093378,1096082,1098723,1101339,1103812,1106223,1108761,1111105,1113406,1115634,1117811,1119909,1121946,1123964,1125892,1127904,1129753,1131503,1133266,1134976,1136655,1138376,1139982,1141594,1143181,1144790,1146236,1147753,1149200,1150625,1151967,1153296,1154565,1155831,1157092,1158308,1159469,
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25960,39,1123,5979,16457,32287,52561,76049,101349,127544,153839,180321,205897,230923,255173,278552,301179,322679,343411,363193,381641,399423,416325,432377,447905,462657,476644,490134,503047,515618,527468,538939,549795,560214,570227,579885,589026,597754,606299,614629,622453,630104,637435,644349,650963,657535,663927,669837,675742,681365,686882,692129,697176,702251,706975,711685,716170,720446,724657,728604,732616,736473,740237,743816,747278,750745,754118,757346,760509,763525,766548,769384,772180,774869,777462,780102,782565,785035,787436,789731,791953,794219,796299,798397,800343,802328,804233,806081,807949,809745,811554,813298,815027,816643,818277,819823,821428,822962,824456,825950,827314,828740,830060,831382,832614,833821,834956,836184,837279,838412,839525,840626,841743,842746,843707,844726,845721,846683,847568,848461,
25970,6,279,1886,6390,14649,26338,40941,57796,75793,94729,114382,134265,154044,173564,192568,211026,229154,246741,263583,279832,295719,310951,325403,339485,352867,365634,377981,389827,401284,412225,422866,433001,442843,452423,461548,470210,478595,486770,494617,502266,509510,516467,523319,529764,536014,542250,548169,553870,559307,564583,569820,574812,579645,584289,588869,593286,597425,601629,605537,609423,613229,616870,620446,623927,627351,630540,633731,636850,639946,642921,645849,648600,651284,653865,656431,659078,661546,663986,666243,668501,670720,672919,674990,677059,679041,681014,682999,684817,686572,688315,690024,691729,693361,694941,696646,698179,699691,701223,702644,704105,705457,706858,708197,709475,710815,712058,713246,714418,715595,716700,717808,718884,719974,721005,722022,723025,724014,724957,725897,
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26770,0,1,3,22,112,376,856,1668,2842,4313,6250,8588,11118,13949,17092,20429,23913,27558,31423,35220,39195,43085,47102,51324,55364,59412,63292,67342,71315,75295,79058,82894,86662,90451,94035,97669,101268,104643,107863,111058,114335,117441,120514,123608,126535,129419,132322,135114,137924,140625,143259,145872,148345,150774,153225,155548,157877,160135,162396,164529,166727,168735,170809,172782,174700,176569,178389,180259,182050,183729,185452,187136,188687,190370,191935,193460,194932,196372,197782,199216,200568,201915,203277,204581,205825,207019,208198,209443,210623,211796,212925,214066,215152,216211,217235,218255,219205,220174,221128,222039,222990,223880,224765,225673,226517,227346,228182,228989,229874,230676,231472,232253,233011,233787,234512,235233,235914,236588,237292,
26780,0,0,0,1,8,26,70,186,388,740,1228,1885,2671,3668,4818,6051,7424,9007,10679,12432,14253,16222,18254,20356,22440,24702,26886,29194,31445,33734,36125,38504,40780,43084,45454,47751,50005,52201,54415,56671,58867,61062,63223,65246,67307,69298,71271,73265,75212,77219,79091,80917,82803,84599,86287,87956,89652,91321,92975,94592,96169,97717,99251,100764,102352,103859,105399,106878,108232,109676,111027,112365,113680,114971,116211,117492,118669,119820,120913,122090,123271,124304,125382,126448,127478,128536,129556,130537,131468,132394,133361,134297,135228,136183,137052,137919,138709,139497,140312,141151,141939,142702,143477,144203,145011,145682,146400,147132,147816,148477,149115,149746,150389,151014,151655,152262,152843,153417,153991,
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26850,0,31,426,2077,5916,12614,22411,34692,49018,65272,82757,101119,119692,138978,157935,176942,195674,213763,231538,248700,265338,281522,297133,312089,326637,340712,354017,366854,379044,390986,402578,413448,423957,434129,443841,453284,462219,470777,479051,487104,494826,502261,509340,516044,522563,528741,534821,540605,546374,551771,557036,562050,566933,571650,576119,580505,584760,588799,592751,596496,600187,603719,607293,610595,613810,616945,620017,622954,625668,628471,631134,633689,636242,638700,641031,643316,645534,647682,649790,651773,653676,655596,657503,659336,661134,662877,664515,666123,667666,669106,670573,671980,673439,674821,676198,677485,678751,679961,681147,682345,683473,684630,685678,686699,687753,688713,689652,690627,691586,692423,693277,694142,694996,695819,696580,697332,698163,698908,699585,
26860,0,6,116,641,2255,5366,10422,17372,26130,36255,47571,60114,73277,87064,101111,115424,129824,143987,157872,172025,185724,198892,211976,224796,237115,249101,260522,271741,282417,292765,302735,312212,321798,330778,339476,347837,355977,363906,371363,378599,385736,392452,398844,405146,411236,416964,422692,428252,433609,438767,443692,448400,452986,457386,461751,465903,470182,473959,477660,481321,484816,488085,491389,494589,497775,500782,503721,506524,509298,511959,514546,517054,519503,521864,524173,526470,528641,530766,532848,534852,536768,538590,540366,542062,543810,545405,547031,548630,550151,551619,553034,554533,555928,557297,558584,559848,561058,562282,563473,564583,565694,566811,567893,568940,569933,570871,571868,572800,573739,574639,575458,576257,577071,577939,578693,579427,580172,580899,581618,
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28052153,69268,217039,380732,531777,664969,780074,878917,963227,1036239,1099146,1154441,1202700,1245614,1283415,1317337,1347728,1374845,1399330,1421722,1441990,1460292,1477004,1492507,1506565,1519561,1531652,1542709,1552930,1562222,1571130,1579384,1587031,1594303,1601131,1607468,1613294,1618877,1624021,1628813,1633411,1637805,1641982,1645960,1649685,1653110,1656355,1659511,1662544,1665371,1668030,1670538,1673006,1675399,1677571,1679728,1681710,1683699,1685556,1687336,1689048,1690666,1692193,1693701,1695060,1696425,1697779,1699005,1700186,1701376,1702466,1703571,1704607,1705621,1706538,1707435,1708237,1709050,1709861,1710637,1711348,1712105,1712783,1713470,1714131,1714774,1715374,1715972,1716495,1717044,1717569,1718097,1718606,1719081,1719547,1720018,1720469,1720888,1721302,1721698,1722056,1722435,1722837,1723168,1723518,1723851,1724167,1724484,1724785,1725097,1725380,1725645,1725914,1726152,1726401,1726637,1726852,1727088,1727300,1727503,
280648,9703,56535,135808,227807,321430,410871,493596,569000,637264,698328,753011,802522,846722,886734,923212,956302,986332,1013626,1038764,1061772,1082861,1102210,1120146,1136766,1152113,1166340,1179491,1191722,1203317,1214193,1224268,1233574,1242416,1250868,1258764,1266109,1273074,1279437,1285543,1291353,1296911,1302064,1307074,1311819,1316194,1320405,1324477,1328356,1331861,1335242,1338544,1341685,1344688,1347507,1350177,1352808,1355343,1357765,1359995,1362135,1364157,1366115,1367983,1369799,1371555,1373263,1374943,1376498,1377994,1379465,1380887,1382175,1383428,1384617,1385811,1386958,1388065,1389155,1390143,1391192,1392166,1393019,1393912,1394747,1395584,1396370,1397143,1397852,1398554,1399223,1399885,1400547,1401139,1401799,1402398,1402955,1403520,1404019,1404522,1405030,1405511,1405977,1406462,1406930,1407359,1407769,1408170,1408552,1408921,1409272,1409645,1409998,1410331,1410644,1410940,1411230,1411493,1411785,1412071,
28073,2193,20546,62262,120129,185685,253059,318731,381198,439752,493899,543524,588845,630825,668839,704278,736506,766240,793559,818786,841901,863236,883048,901533,918732,934646,949437,963426,976264,988461,999844,1010664,1020608,1029973,1038768,1047021,1054914,1062198,1069232,1075867,1082049,1088024,1093667,1099048,1104219,1109088,1113647,1118056,1122335,1126173,1130025,1133672,1137117,1140388,1143519,1146408,1149251,1152027,1154565,1157083,1159509,1161909,1164193,1166198,1168220,1170178,1172107,1173893,1175627,1177263,1178915,1180453,1181915,1183294,1184750,1186130,1187416,1188656,1189875,1191022,1192127,1193203,1194204,1195170,1196126,1196999,1197889,1198728,1199535,1200365,1201159,1201874,1202614,1203309,1204004,1204631,1205272,1205862,1206463,1206986,1207553,1208059,1208613,1209140,1209596,1210036,1210488,1210960,1211436,1211861,1212268,1212673,1213064,1213444,1213798,1214177,1214530,1214863,1215169,1215473,
28080,350,5530,22185,51722,89856,133621,179784,225972,270980,313924,354732,393119,429280,463030,494340,523480,550656,575867,599614,621622,641993,661225,679324,696085,711885,726562,740320,753134,765354,776839,787555,797736,807323,816383,824819,832853,840586,847928,854766,861334,867588,873481,879043,884431,889452,894231,898804,903230,907512,911450,915315,918974,922547,926027,929304,932401,935411,938182,940803,943258,945818,948080,950509,952631,954731,956792,958651,960494,962285,964012,965697,967317,968891,970409,971783,973172,974488,975758,977053,978272,979390,980537,981598,982661,983663,984615,985546,986427,987283,988150,988961,989746,990515,991192,991924,992627,993305,993991,994610,995219,995793,996393,996928,997450,998002,998539,998983,999492,1000004,1000483,1000896,1001307,1001711,1002125,1002496,1002852,1003206,1003573,1003923,
28090,28,1043,5911,17053,34842,57609,84487,113405,143488,173730,203754,232876,260723,287197,312654,336721,359696,381197,401822,420895,438905,455980,472126,487482,501910,515525,528260,540384,551840,562707,572847,582575,591860,600647,609032,616877,624457,631410,638087,644521,650624,656414,662019,667298,672279,677078,681713,686173,690402,694504,698356,701937,705389,708746,712048,715146,718086,720974,723779,726394,728874,731358,733745,736038,738207,740203,742268,744267,746092,747821,749520,751200,752826,754387,755915,757410,758748,760077,761372,762693,763920,765102,766217,767296,768383,769419,770380,771349,772221,773147,774043,774853,775687,776485,777193,777979,778671,779424,780089,780731,781361,781959,782518,783058,783661,784213,784749,785270,785771,786276,786735,787193,787607,788071,788505,788912,789316,789691,790055,
28100,8,356,2581,8726,19812,35203,54048,75477,98141,121723,145643,169296,192558,215231,236992,258202,278385,297548,315402,332912,349377,364743,379457,393576,406982,419670,431451,442815,453492,463654,473460,482517,491257,499629,507423,514914,522043,528812,535306,541509,547384,552966,558324,563339,568235,572937,577391,581770,585818,589757,593508,597047,600579,603890,607080,610083,613103,615977,618716,621381,623933,626278,628598,630782,632996,634974,636962,638874,640715,642599,644328,645987,647607,649166,650596,652046,653404,654786,656136,657386,658598,659814,660964,662091,663171,664184,665242,666211,667143,668060,668936,669808,670660,671448,672222,673021,673704,674420,675109,675782,676429,677085,677650,678241,678792,679331,679848,680401,680928,681426,681930,682392,682843,683295,683717,684131,684506,684900,685263,
28110,2,105,1013,4142,10065,19501,31820,46517,62873,80454,98767,117435,136128,154502,172602,190262,207151,223971,239653,254694,269255,283148,296443,309200,321098,332470,343243,353599,363386,372920,381981,390658,398852,406440,414076,421110,427756,434364,440543,446395,452078,457385,462532,467413,472015,476592,480973,485099,488995,492823,496487,499988,503304,506478,509540,512527,515323,518117,520839,523398,525866,528257,530527,532768,534836,536859,538831,540727,542568,544322,546035,547664,549250,550747,552225,553708,555118,556472,557751,558982,560199,561385,562571,563649,564672,565674,566733,567682,568562,569485,570361,571223,571984,572737,573481,574210,574961,575657,576311,576988,577626,578267,578850,579449,580039,580624,581137,581676,582156,582607,583099,583547,584010,584470,584887,585330,585710,586086,586467,
28120,0,21,296,1550,4546,9762,17198,26757,37644,49944,63088,76920,91127,105607,119806,133857,147736,161275,174374,187108,199520,211177,222600,233494,243918,254057,263656,272885,281738,290247,298395,306076,313510,320527,327426,333883,339907,345898,351681,357141,362507,367516,372367,376765,381265,385471,389539,393338,397102,400625,404103,407481,410672,413718,416681,419487,422223,424910,427400,429839,432342,434640,436850,438927,440938,442928,444918,446763,448501,450158,451834,453416,454911,456415,457889,459306,460660,461898,463137,464403,465546,466761,467850,468965,469992,471018,471993,472922,473855,474760,475608,476466,477263,478065,478868,479597,480347,481063,481750,482398,483043,483635,484208,484753,485264,485795,486329,486870,487428,487904,488413,488873,489305,489740,490164,490551,490932,491336,491724,
28130,0,5,96,556,1834,4265,8251,13690,20505,28408,37234,46850,56836,67204,77779,88379,99019,109474,119915,130261,140486,150255,159700,168746,177656,186248,194591,202644,210221,217475,224542,231240,237636,243699,249829,255747,261307,266699,271864,276706,281434,285994,290293,294353,298347,302270,306062,309575,313003,316374,319627,322715,325784,328536,331194,333828,336422,338912,341288,343514,345705,347880,349945,351997,353928,355748,357532,359295,361002,362605,364204,365743,367168,368576,369918,371309,372585,373864,375048,376264,377372,378492,379531,380531,381590,382598,383494,384428,385302,386182,386976,387748,388516,389330,390047,390756,391454,392134,392778,393378,394041,394632,395193,395803,396373,396901,397437,397993,398496,398959,399420,399909,400332,400754,401152,401561,401921,402313,402690,
28140,0,1,33,273,1014,2551,5214,8870,13687,19513,26231,33649,41385,49704,58271,67031,75746,84699,93450,102342,110881,118981,127227,135365,143124,150849,158358,165390,172229,178805,185336,191500,197405,203115,208543,213772,218820,223842,228423,232912,237333,241534,245639,249585,253374,256977,260410,263765,266977,270035,272984,275878,278602,281265,283895,286384,288820,291166,293438,295635,297747,299786,301797,303774,305665,307412,309072,310707,312260,313842,315274,316771,318171,319551,320884,322191,323429,324671,325856,326989,328082,329141,330229,331215,332152,333101,333955,334839,335670,336483,337313,338053,338822,339552,340262,340977,341630,342323,342953,343554,344164,344776,345328,345874,346397,346904,347392,347891,348384,348830,349294,349717,350132,350530,350909,351305,351691,352071,352448,
28150,0,1,11,104,477,1299,2836,5175,8359,12336,17069,22422,28379,34861,41662,48727,55897,63196,70721,78088,85232,92336,99322,106138,112980,119569,126078,132166,138122,143926,149591,155175,160535,165529,170371,175187,179698,184159,188404,192503,196462,200229,203960,207514,210982,214363,217611,220706,223819,226696,229556,232244,234791,237309,239788,242176,244443,246627,248723,250802,252852,254771,256660,258364,260115,261765,263394,264984,266514,268016,269417,270726,272068,273321,274632,275855,277051,278203,279311,280352,281417,282469,283377,284292,285260,286155,287013,287831,288701,289487,290241,290958,291669,292301,293037,293718,294383,294991,295572,296219,296809,297387,297916,298442,298959,299450,299905,300380,300859,301261,301707,302105,302521,302907,303305,303667,304001,304384,304717,
28160,0,0,5,47,206,602,1473,2856,4859,7383,10636,14466,18713,23461,28511,33797,39312,44843,50640,56380,62251,67998,73748,79295,84955,90423,95664,100820,105907,110782,115691,120379,125109,129610,133913,138101,142262,146109,149940,153699,157192,160585,163967,167097,170264,173384,176366,179222,181962,184589,187241,189769,192092,194318,196488,198612,200782,202760,204724,206652,208466,210238,211998,213683,215296,216871,218396,219812,221250,222630,223988,225264,226498,227672,228859,229998,231132,232140,233179,234196,235188,236119,237013,237888,238755,239548,240380,241210,242009,242784,243492,244223,244901,245596,246261,246854,247505,248117,248694,249255,249855,250369,250871,251391,251862,252313,252802,253289,253753,254163,254558,254980,255370,255777,256143,256512,256892,257236,257557,
28170,0,0,0,15,75,249,653,1411,2518,4071,6109,8639,11525,14776,18271,22069,26104,30387,34756,39160,43742,48335,52822,57282,61751,66137,70549,74898,79188,83472,87678,91603,95426,99270,102953,106699,110264,113670,117042,120251,123384,126486,129447,132333,135062,137764,140331,142762,145179,147499,149695,151901,154045,156132,158131,160171,162128,163914,165674,167425,169136,170733,172262,173754,175204,176711,178082,179459,180741,182029,183212,184419,185550,186688,187750,188791,189852,190860,191790,192792,193699,194528,195353,196134,196959,197750,198463,199164,199896,200546,201178,201889,202526,203193,203819,204390,204995,205545,206111,206637,207156,207636,208121,208601,209006,209450,209910,210362,210775,211176,211577,211949,212302,212681,212998,213327,213645,213941,214240,
28180,0,0,0,2,17,72,222,579,1131,2026,3139,4606,6364,8454,10717,13254,15929,18876,22027,25256,28503,31950,35270,38681,42124,45634,49095,52461,55901,59164,62465,65733,68895,71996,75058,78070,81013,83782,86532,89258,91972,94461,96977,99415,101810,104135,106300,108433,110550,112605,114645,116621,118542,120372,122132,123824,125523,127097,128717,130225,131735,133209,134515,135873,137162,138485,139693,140872,142048,143161,144249,145316,146406,147422,148392,149353,150289,151156,152037,152900,153747,154609,155412,156175,156903,157579,158290,158968,159611,160234,160833,161421,162011,162569,163121,163661,164143,164687,165176,165665,166148,166608,167059,167502,167952,168417,168844,169250,169636,170011,170361,170694,171017,171340,171637,171939,172277,172573,172857,
28190,0,0,0,0,6,30,106,248,539,994,1593,2463,3541,4845,6322,8041,9934,11995,14129,16414,18726,21136,23696,26334,29006,31494,34115,36694,39295,41944,44513,47113,49681,52147,54682,57164,59584,61851,64138,66429,68634,70758,72801,74861,76893,78820,80748,82641,84421,86155,87845,89490,91103,92668,94231,95674,97095,98552,99948,101265,102563,103862,105117,106362,107529,108661,109800,110864,111880,112863,113894,114863,115843,116745,117657,118449,119299,120159,120971,121766,122483,123180,123903,124564,125229,125876,126523,127141,127768,128387,128939,129519,130022,130525,131047,131564,132039,132526,132965,133405,133830,134225,134654,135051,135450,135814,136185,136546,136905,137251,137579,137903,138211,138520,138805,139107,139401,139706,139975,
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292157,5058,24613,55663,91635,129147,165186,198800,230061,259107,285739,310045,332153,352525,371296,388707,404749,419477,433289,446023,457864,469014,479251,488966,497999,506544,514544,522048,529097,535718,541912,547852,553338,558649,563632,568512,573087,577402,581489,585422,589142,592698,596078,599282,602390,605325,608098,610753,613346,615678,618099,620311,622540,624574,626570,628475,630307,632075,633813,635445,637040,638584,640094,641574,642903,644218,645466,646752,647905,649062,650196,651284,652300,653275,654205,655104,656004,656858,657658,658463,659237,660025,660731,661462,662123,662817,663455,664024,664638,665247,665854,666405,666920,667419,667945,668447,668916,669338,669778,670214,670612,671031,671392,671758,672144,672489,672844,673163,673521,673848,674186,674492,674792,675048,675367,675654,675922,676200,676449,676652,
292222,2764,16260,39710,68704,100356,131362,161314,189606,216167,240956,263752,284568,303850,321708,338276,353712,367936,381291,393633,405342,416143,426162,435520,444448,452833,460559,467855,474899,481564,487665,493430,498952,504172,509126,513855,518445,522619,526739,530554,534280,537729,541048,544321,547447,550430,553258,555941,558483,560944,563333,565613,567784,569906,571848,573773,575589,577364,579102,580800,582392,583916,585497,586954,588295,589633,590904,592158,593334,594421,595589,596641,597717,598705,599663,600526,601420,602322,603169,603936,604732,605557,606341,607051,607722,608392,609055,609664,610260,610893,611457,612017,612555,613029,613506,613986,614468,614939,615396,615841,616288,616688,617092,617430,617790,618142,618479,618870,619198,619540,619857,620134,620480,620756,621043,621307,621582,621841,622074,622326,
29235,1415,9835,26507,48925,74324,100507,126788,151800,175460,197712,218407,237714,255680,272365,288062,302495,316079,328530,340376,351599,361875,371779,380902,389515,397655,405186,412320,419081,425530,431681,437491,442930,448211,453120,457642,462051,466304,470343,474078,477677,481114,484447,487568,490645,493467,496378,499048,501582,504085,506446,508764,510920,513043,514952,516892,518791,520586,522337,523934,525488,527004,528517,529943,531401,532743,534018,535317,536491,537702,538777,539864,540888,541874,542796,543712,544611,545476,546330,547132,547937,548707,549457,550180,550900,551573,552250,552867,553507,554087,554699,555256,555803,556305,556843,557339,557848,558297,558752,559194,559622,560056,560441,560805,561166,561495,561842,562192,562533,562863,563194,563497,563806,564100,564402,564694,564977,565228,565479,565719,
29243,633,5338,16424,32697,52444,73784,95257,116411,136919,156598,175509,193016,209607,225021,239392,252989,265514,277305,288445,298832,308647,317861,326755,334969,342741,350054,357024,363423,369585,375491,381144,386464,391450,396165,400752,405111,409281,413266,417040,420576,424028,427264,430434,433472,436335,439072,441700,444188,446570,448845,451065,453144,455153,457072,459023,460887,462679,464372,466054,467666,469172,470613,472065,473384,474751,476023,477235,478448,479591,480692,481728,482758,483782,484745,485697,486590,487470,488372,489191,489991,490793,491536,492212,492846,493532,494201,494860,495491,496080,496619,497214,497766,498250,498781,499302,499801,500266,500720,501150,501602,501998,502362,502741,503131,503495,503835,504191,504525,504812,505132,505404,505709,505983,506280,506565,506846,507121,507386,507635,
29250,242,2510,8987,19633,33457,49422,66191,83256,100208,116786,132745,147941,162327,175975,188815,200923,212262,223084,233448,243063,252297,260846,269097,276743,283974,290774,297333,303556,309509,315001,320359,325426,330199,334873,339177,343327,347318,351222,354829,358318,361683,364829,367847,370934,373756,376426,379034,381568,383901,386141,388363,390407,392468,394414,396264,398040,399746,401417,403034,404558,406032,407520,408931,410297,411579,412862,414032,415266,416351,417521,418567,419607,420597,421529,422424,423344,424204,425006,425828,426605,427382,428120,428818,429510,430167,430825,431456,432035,432605,433202,433747,434293,434805,435308,435772,436237,436674,437139,437543,437967,438390,438786,439189,439537,439893,440218,440572,440909,441267,441596,441914,442228,442506,442818,443108,443385,443652,443887,444158,
29260,48,967,4184,10406,19152,30001,42246,54954,68235,81496,94361,106826,118697,130289,141404,151792,161764,171375,180455,189059,197312,205087,212503,219661,226366,232719,238802,244584,250077,255234,260132,264899,269434,273699,277876,281891,285619,289213,292623,295812,298947,301918,304749,307535,310234,312799,315310,317619,319851,321997,324146,326188,328069,329906,331718,333409,335056,336686,338216,339735,341126,342556,343939,345265,346538,347801,349046,350172,351288,352393,353416,354422,355406,356273,357141,358005,358828,359647,360439,361218,362006,362668,363335,364028,364678,365305,365921,366559,367150,367703,368249,368786,369311,369775,370280,370758,371218,371671,372133,372560,373012,373403,373762,374120,374482,374810,375170,375499,375791,376099,376398,376700,377017,377294,377569,377846,378115,378370,378642,
29270,15,336,1803,5284,10606,17732,26257,35631,45403,55453,65419,75536,85423,94890,103952,112964,121349,129611,137329,145025,152295,159179,165747,172136,178166,183877,189395,194516,199547,204258,208734,213063,217216,221027,224906,228547,232017,235375,238615,241623,244635,247480,250059,252653,255116,257508,259909,262227,264475,266526,268509,270414,272229,273956,275720,277402,278993,280571,282105,283485,284934,286248,287503,288758,289994,291159,292315,293396,294458,295413,296401,297364,298330,299229,300050,300838,301650,302481,303266,303938,304664,305375,306039,306734,307366,307997,308583,309219,309782,310289,310853,311362,311821,312358,312869,313325,313778,314219,314644,315080,315506,315903,316312,316664,317031,317361,317717,318040,318366,318658,318973,319273,319591,319838,320117,320361,320598,320841,321076,
29280,4,94,564,2013,4560,8423,13393,19359,25853,32969,40135,47514,54810,62111,69204,76216,83111,89992,96439,102578,108687,114327,119844,125194,130343,135193,139987,144544,149029,153276,157232,161164,164836,168447,171897,175198,178333,181275,184193,186972,189602,192138,194640,197080,199318,201515,203646,205726,207671,209646,211474,213208,214942,216603,218139,219672,221153,222603,223988,225294,226636,227890,229114,230281,231440,232554,233615,234684,235716,236660,237629,238539,239427,240263,241015,241792,242584,243315,244021,244722,245426,246069,246728,247330,247925,248543,249111,249666,250202,250733,251234,251752,252246,252705,253192,253652,254048,254476,254875,255278,255652,256020,256383,256725,257052,257387,257726,258067,258374,258682,258953,259257,259503,259764,260022,260266,260537,260770,261014,
29290,0,5,116,527,1522,3192,5489,8503,12015,16132,20458,25052,29841,34740,39656,44670,49648,54510,59286,64018,68613,73086,77416,81445,85585,89563,93430,97133,100580,104102,107541,110675,113786,116749,119560,122295,124951,127516,130043,132489,134836,137104,139283,141317,143355,145279,147178,148967,150728,152486,154146,155725,157239,158711,160137,161498,162797,164088,165377,166516,167626,168732,169881,170967,171999,173023,174029,174998,175920,176753,177592,178353,179150,179907,180691,181401,182122,182757,183405,184060,184697,185332,185952,186573,187147,187668,188152,188695,189192,189668,190121,190581,191050,191463,191903,192287,192689,193067,193428,193762,194121,194470,194800,195119,195444,195745,196057,196359,196652,196909,197160,197461,197707,197942,198183,198437,198677,198924,199132,
29300,0,1,11,61,235,609,1262,2202,3507,5149,7086,9210,11599,14168,16816,19517,22212,25127,28075,30990,33877,36775,39502,42330,45060,47685,50396,52964,55449,57970,60368,62687,64881,67154,69294,71350,73477,75410,77340,79246,81043,82805,84447,86065,87683,89194,90656,92063,93455,94844,96172,97449,98690,99893,101025,102126,103157,104185,105239,106256,107200,108088,108935,109775,110637,111538,112321,113077,113810,114559,115278,115989,116704,117381,118031,118646,119260,119851,120435,121017,121513,122000,122560,123035,123493,123944,124426,124884,125315,125694,126094,126494,126871,127263,127602,127963,128288,128618,128921,129209,129502,129793,130081,130391,130672,130956,131222,131475,131704,131936,132181,132394,132602,132859,133070,133295,133522,133712,133903,
29311981,62817,199671,352180,494477,618229,724870,815923,893408,959921,1017417,1067282,1110448,1148517,1181735,1211501,1238354,1262185,1283745,1303008,1320154,1335913,1350484,1363478,1375491,1386411,1396605,1405981,1414761,1422561,1429946,1436593,1442853,1448775,1454231,1459369,1464247,1468731,1472937,1476900,1480678,1484211,1487508,1490645,1493537,1496291,1498907,1501332,1503649,1505820,1507857,1509891,1511766,1513552,1515228,1516852,1518310,1519750,1521107,1522447,1523659,1524837,1525949,1526973,1528033,1528995,1529938,1530825,1531636,1532436,1533256,1533958,1534657,1535309,1535975,1536590,1537209,1537786,1538331,1538835,1539356,1539862,1540368,1540826,1541242,1541675,1542063,1542422,1542805,1543143,1543468,1543809,1544139,1544441,1544712,1544990,1545266,1545511,1545744,1545980,1546257,1546490,1546705,1546910,1547117,1547302,1547492,1547665,1547833,1548025,1548182,1548367,1548524,1548660,1548805,1548946,1549077,1549227,1549339,1549478,
293268,10117,56192,131544,218072,304814,385883,460292,527502,587509,641484,689495,732576,770891,805526,836516,864525,889876,913119,934059,953268,970583,986536,1001443,1015055,1027783,1039616,1050417,1060094,1069369,1077979,1086034,1093536,1100399,1106935,1112873,1118606,1123914,1128898,1133577,1138061,1142174,1146049,1149803,1153294,1156582,1159705,1162654,1165470,1168065,1170599,1172952,1175288,1177438,1179461,1181411,1183344,1185109,1186849,1188357,1189850,1191301,1192688,1193992,1195233,1196481,1197648,1198788,1199860,1200813,1201834,1202772,1203687,1204528,1205405,1206193,1206977,1207754,1208447,1209086,1209695,1210328,1210924,1211464,1212024,1212558,1213061,1213533,1214011,1214464,1214895,1215300,1215713,1216088,1216464,1216812,1217115,1217460,1217733,1218030,1218337,1218627,1218953,1219265,1219527,1219808,1220055,1220293,1220523,1220741,1220948,1221136,1221341,1221535,1221710,1221874,1222048,1222206,1222356,1222512,
29333,2810,22859,65073,121399,183998,246862,307081,363919,416098,463728,507258,546702,582626,615039,644577,671473,696331,718944,739654,758738,776223,792392,807276,821022,833484,845296,856349,866605,876059,884898,893048,900660,907767,914602,920858,926834,932310,937507,942527,947256,951647,955875,959876,963625,967138,970531,973702,976690,979503,982132,984667,987148,989384,991579,993615,995724,997612,999432,1001091,1002767,1004287,1005786,1007263,1008623,1009935,1011203,1012466,1013687,1014829,1015915,1016885,1017908,1018875,1019797,1020674,1021493,1022227,1023014,1023714,1024444,1025108,1025739,1026341,1026931,1027505,1028054,1028581,1029063,1029540,1029998,1030454,1030909,1031335,1031711,1032110,1032483,1032803,1033127,1033491,1033828,1034154,1034438,1034717,1034989,1035236,1035488,1035746,1035988,1036215,1036461,1036704,1036911,1037117,1037302,1037494,1037689,1037867,1038020,1038211,
29340,559,7410,26547,57924,97159,140264,184227,227202,268815,308165,344747,378434,409361,438519,465266,489763,512737,533766,553372,571078,587682,603086,617326,630674,642922,654455,665147,675114,684504,693214,701266,708970,716230,723084,729413,735383,741046,746486,751532,756221,760743,765071,769049,772875,776524,779876,783132,786180,789075,791812,794481,796981,799411,801707,803898,805977,808017,809857,811659,813406,815075,816639,818117,819558,820985,822286,823548,824791,825984,827165,828271,829275,830237,831179,832095,832920,833705,834515,835312,836069,836780,837478,838119,838764,839383,839992,840558,841111,841609,842135,842596,843070,843547,843945,844330,844744,845127,845493,845839,846192,846541,846882,847165,847451,847726,848022,848332,848587,848857,849113,849333,849565,849781,850003,850234,850433,850633,850830,851016,
29350,70,1792,8835,23091,43438,68560,96510,125687,155342,184236,212089,238360,263553,287323,309667,330563,350537,368687,385942,401908,416606,430387,443383,455593,467064,477851,487825,497223,506122,514375,522154,529416,536155,542792,548882,554777,560241,565443,570279,574904,579194,583382,587343,591110,594626,597977,601264,604315,607128,609915,612577,615012,617385,619643,621807,623864,625858,627690,629559,631339,632950,634553,636088,637456,638861,640192,641514,642722,643916,645103,646219,647286,648324,649297,650231,651146,652031,652861,653651,654407,655115,655794,656495,657157,657795,658406,658987,659514,660034,660597,661119,661599,662057,662491,662905,663299,663696,664064,664474,664828,665178,665531,665894,666227,666532,666826,667086,667393,667634,667861,668106,668344,668564,668799,669008,669249,669431,669620,669805,
29360,27,789,4481,13236,26885,44907,66011,88750,112265,135847,159189,181733,203333,223860,243336,261826,279294,295548,311066,325478,339238,352231,364094,375359,386097,396025,405458,414346,422789,430924,438426,445389,451886,458167,464130,469626,474795,479740,484517,489009,493337,497295,501124,504787,508254,511519,514634,517603,520432,523139,525826,528395,530861,533135,535356,537435,539382,541248,543023,544690,546329,547948,549462,550856,552238,553525,554745,556026,557206,558342,559459,560458,561460,562461,563382,564250,565111,565948,566696,567470,568196,568943,569643,570245,570862,571455,572007,572569,573119,573619,574089,574574,575022,575505,575926,576373,576777,577200,577588,577969,578315,578635,578965,579273,579587,579905,580169,580452,580687,580949,581192,581471,581706,581929,582131,582349,582552,582745,582951,
29370,3,259,2098,6991,15661,27886,42861,59759,77627,96161,114952,133483,151261,168605,185396,201409,216717,231120,244943,258103,270343,281771,292769,303259,313073,322345,331002,339234,346978,354319,361256,367962,374207,380191,385916,391151,396145,400862,405440,409742,413808,417684,421562,425044,428316,431553,434554,437459,440160,442846,445325,447804,450090,452295,454385,456344,458202,460004,461774,463433,465101,466543,467988,469394,470721,472025,473307,474524,475661,476700,477736,478811,479863,480777,481662,482524,483336,484160,484985,485728,486448,487174,487873,488516,489096,489719,490334,490892,491451,491980,492497,492992,493464,493927,494327,494736,495132,495496,495858,496240,496572,496906,497243,497577,497886,498194,498472,498717,498996,499215,499458,499701,499931,500187,500410,500611,500800,501023,501206,
29380,2,90,806,3270,8180,15600,25532,37469,50386,64338,78654,93268,107715,121737,135555,148954,161858,174011,186241,197490,208411,218583,228300,237554,246374,254532,262396,269867,277000,283721,289963,296023,301765,307274,312567,317459,322079,326629,330910,334907,338685,342289,345892,349193,352377,355448,358349,361069,363681,366174,368580,370924,373142,375198,377150,379047,380888,382670,384369,385930,387449,388966,390399,391817,393123,394478,395711,396888,397966,399016,400067,401108,402013,402887,403809,404680,405490,406327,407131,407791,408475,409129,409764,410417,411019,411602,412152,412674,413236,413769,414268,414736,415185,415651,416043,416459,416865,417225,417608,417964,418306,418622,418949,419268,419525,419820,420091,420379,420623,420842,421085,421352,421588,421811,422041,422242,422432,422613,422812,
29390,0,24,293,1450,3892,8056,14173,21803,30664,40454,50873,61703,72833,83785,94426,105219,115666,125878,135654,145053,154134,162795,171080,179065,186608,193899,200785,207536,213851,219892,225583,231216,236381,241333,246143,250684,254994,259057,262918,266622,270201,273603,276832,279979,282963,285772,288473,291079,293504,295744,298001,300137,302195,304154,306022,307812,309549,311202,312790,314275,315760,317134,318538,319838,321056,322299,323460,324601,325650,326642,327602,328498,329422,330274,331105,331927,332764,333545,334318,335018,335656,336327,336897,337498,338083,338663,339238,339711,340258,340787,341248,341643,342094,342513,342934,343327,343712,344076,344416,344760,345104,345426,345735,346028,346306,346608,346886,347144,347397,347644,347878,348146,348349,348569,348762,348980,349166,349355,349523,
29400,0,10,143,770,2306,5131,9356,15107,21849,29618,37846,46565,55534,64697,73903,83148,92031,100780,109321,117528,125529,133185,140730,147925,154826,161460,167642,173684,179426,184905,190158,195247,199872,204416,208746,212928,216905,220673,224316,227788,231132,234304,237252,240111,242914,245500,248041,250395,252712,254933,257055,259089,260966,262855,264611,266382,268061,269640,271138,272524,273891,275251,276520,277790,278954,280134,281217,282323,283336,284328,285265,286197,287084,287904,288739,289493,290236,290939,291639,292282,292924,293548,294197,294806,295384,295965,296517,297055,297563,298001,298496,298922,299367,299789,300202,300617,300995,301356,301698,302064,302413,302701,303013,303325,303587,303834,304117,304372,304604,304829,305041,305245,305463,305691,305887,306078,306267,306440,306595,
29410,0,4,67,396,1285,3084,5928,9845,14681,20363,26727,33558,40650,48147,55666,63441,70992,78432,85820,93037,100098,106854,113444,119663,125731,131640,137225,142667,147936,152918,157721,162343,166682,170771,174666,178466,182229,185807,189113,192314,195345,198338,201141,203870,206413,208913,211249,213492,215700,217744,219757,221719,223561,225231,226890,228472,230080,231574,233063,234491,235817,237139,238367,239537,240622,241765,242799,243867,244877,245793,246726,247631,248450,249268,249989,250752,251485,252222,252858,253503,254070,254693,255301,255872,256424,256955,257453,257920,258404,258825,259262,259703,260139,260542,260903,261277,261625,262012,262352,262649,262944,263244,263547,263843,264097,264372,264638,264888,265120,265345,265555,265775,265996,266201,266412,266605,266781,266959,267141,
29420,0,2,22,174,692,1673,3370,5884,9210,13202,17911,23127,28579,34361,40291,46444,52586,58592,64842,70950,76756,82555,88284,93651,99015,104158,109187,114040,118678,123053,127193,131239,135163,138906,142481,145875,149106,152393,155496,158352,161230,163838,166366,168792,171142,173418,175656,177844,179853,181732,183571,185353,187043,188653,190246,191731,193193,194648,195954,197247,198458,199626,200750,201891,202926,203907,204901,205820,206758,207667,208573,209421,210220,210961,211682,212369,213079,213732,214379,215004,215656,216221,216790,217340,217866,218318,218791,219244,219707,220117,220557,220973,221388,221748,222102,222496,222853,223207,223545,223847,224151,224409,224687,224940,225212,225471,225715,225978,226204,226435,226658,226861,227052,227257,227473,227653,227822,228008,228178,
29430,0,0,7,71,290,818,1857,3376,5519,8265,11526,15125,19160,23480,27970,32630,37496,42288,47129,52014,56759,61599,66248,70770,75251,79567,83838,87907,91787,95706,99311,102785,106211,109543,112776,115828,118713,121587,124254,126848,129331,131787,134132,136404,138563,140599,142572,144480,146375,148044,149744,151460,152958,154430,155893,157251,158605,159834,161082,162320,163488,164595,165613,166635,167601,168600,169528,170343,171196,171973,172782,173545,174303,174993,175662,176282,176908,177531,178169,178732,179303,179860,180340,180850,181318,181786,182215,182630,183011,183446,183834,184239,184582,184955,185293,185604,185925,186230,186532,186824,187094,187371,187618,187853,188098,188343,188570,188792,189009,189239,189453,189668,189863,190045,190237,190406,190576,190746,190907,
29440,0,0,2,25,110,340,868,1730,2915,4611,6624,9015,11668,14665,17874,21299,24761,28412,32067,35742,39415,43094,46774,50410,54018,57534,60954,64252,67578,70845,73865,76864,79715,82549,85288,87938,90369,92742,95157,97380,99615,101719,103695,105693,107509,109308,111143,112789,114406,115992,117540,119038,120538,121903,123178,124435,125620,126720,127835,128955,130002,131032,131980,132947,133904,134733,135555,136350,137121,137907,138603,139305,139962,140633,141279,141872,142493,143054,143646,144219,144755,145265,145752,146227,146678,147089,147524,147944,148358,148717,149071,149402,149729,150060,150361,150660,150936,151205,151493,151772,152022,152335,152589,152822,153045,153241,153456,153671,153861,154054,154274,154463,154643,154825,155017,155179,155332,155490,155660,
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29534,2041,15707,44150,82127,124542,167391,208914,247636,284026,317775,348417,376330,401925,425722,447437,467450,485930,502581,518086,532279,545960,558313,569812,580446,590301,599336,607914,615875,623345,630257,637016,643266,649100,654514,659578,664376,669098,673396,677541,681394,685054,688551,691668,694762,697739,700574,703205,705766,708169,710480,712741,714847,716839,718712,720531,722254,723920,725464,726986,728415,729807,731171,732404,733592,734785,735884,736935,737978,738978,739950,740815,741642,742460,743265,744000,744705,745409,746066,746721,747315,747870,748484,749043,749597,750095,750587,751094,751540,751943,752388,752794,753213,753567,753917,754267,754621,754942,755293,755640,755917,756208,756503,756785,757069,757334,757580,757811,758045,758291,758485,758716,758933,759134,759302,759515,759707,759868,760047,760217,
29541,855,8858,27721,55785,88932,123683,158267,191877,223822,253510,281335,307180,330783,352854,373311,392233,409667,425879,440760,454537,467411,479455,490608,500903,510284,519379,527900,535604,542978,549734,556142,562090,567859,573145,578226,583004,587485,591791,595827,599703,603341,606812,610138,613167,616148,619058,621674,624213,626645,629010,631174,633199,635193,637093,638863,640562,642194,643713,645270,646745,648176,649545,650791,652026,653165,654258,655387,656385,657435,658383,659268,660096,660920,661743,662518,663310,664062,664712,665400,666017,666642,667242,667828,668383,668918,669418,669884,670376,670850,671311,671729,672169,672536,672915,673307,673644,673981,674307,674617,674951,675248,675509,675803,676071,676314,676540,676758,676988,677204,677415,677608,677818,678015,678206,678394,678589,678788,678970,679116,
29550,329,4308,16055,35231,59448,86923,114899,142691,169581,195457,219862,242796,264185,284109,302587,319922,336068,350961,365080,378014,390107,401340,411992,421945,431132,439623,447700,455246,462257,469076,475341,481294,486905,492186,497237,501874,506262,510411,514366,518204,521723,525149,528399,531440,534371,537153,539789,542323,544669,546862,549122,551172,553179,555062,556811,558556,560249,561845,563283,564699,566100,567410,568710,569989,571123,572237,573350,574320,575327,576297,577251,578189,579043,579816,580622,581397,582106,582774,583481,584113,584764,585358,585926,586520,587048,587534,588005,588470,588893,589333,589781,590187,590611,591024,591377,591773,592105,592414,592728,593050,593340,593646,593914,594168,594427,594677,594910,595136,595356,595614,595836,596042,596226,596407,596594,596784,596957,597127,597291,
29560,116,1981,8482,20793,37644,57331,78654,100687,122644,144121,164725,184390,203142,220577,236889,252286,266741,280252,293072,305071,316184,326645,336371,345678,354179,362346,369971,377197,383998,390404,396440,402155,407577,412538,417315,421882,426225,430403,434247,437905,441316,444612,447686,450703,453625,456346,458833,461244,463616,465873,467988,470060,471987,473871,475678,477381,478965,480447,481954,483346,484747,485993,487266,488453,489656,490790,491884,492955,493917,494896,495767,496618,497470,498296,499035,499800,500523,501200,501832,502499,503111,503709,504293,504867,505411,505913,506407,506922,507381,507812,508281,508730,509116,509483,509905,510253,510602,510945,511257,511566,511892,512196,512477,512740,512972,513216,513434,513685,513918,514158,514390,514576,514780,514978,515180,515361,515538,515716,515885,
29570,26,717,3882,10707,21139,34452,49552,65942,82862,99989,116439,132616,148026,162977,176991,190367,203199,215001,226338,237068,247199,256688,265650,274091,281928,289476,296550,303145,309301,315220,320902,326205,331096,335875,340369,344559,348539,352374,356015,359478,362819,365932,368872,371770,374578,377152,379720,382074,384391,386564,388665,390568,392481,394286,395995,397572,399111,400609,402064,403413,404736,405981,407189,408364,409499,410574,411606,412616,413622,414495,415390,416243,417061,417807,418540,419294,420022,420709,421381,422023,422618,423263,423826,424357,424887,425379,425868,426300,426815,427254,427664,428072,428526,428895,429258,429606,429961,430289,430601,430903,431202,431490,431791,432048,432344,432597,432838,433068,433311,433521,433740,433946,434135,434339,434544,434727,434864,435016,435208,
29580,11,355,2179,6653,14115,24090,36065,49416,63239,77623,91793,105805,119326,132256,144821,156728,168197,179075,189280,199064,208350,217033,225280,233083,240357,247337,253921,260166,266117,271747,277083,282244,287043,291620,295869,299968,303788,307399,310881,314212,317352,320342,323269,325988,328653,331154,333591,335875,338008,340074,342088,344053,345848,347594,349242,350901,352389,353826,355259,356589,357924,359125,360307,361396,362552,363621,364627,365610,366579,367477,368358,369156,369898,370655,371382,372071,372753,373401,374031,374704,375304,375857,376397,376929,377450,377963,378480,378960,379425,379877,380300,380726,381089,381435,381781,382130,382460,382794,383097,383420,383711,383992,384256,384535,384772,385006,385248,385499,385711,385914,386126,386293,386504,386692,386867,387044,387231,387389,387554,
29590,4,184,1233,3978,8927,16049,24944,35211,46142,57786,69520,81359,92775,104057,114791,125198,135413,145149,154413,163135,171433,179376,186873,194063,200892,207359,213444,219325,224836,230052,234910,239739,244215,248427,252562,256368,260032,263525,266750,269838,272844,275680,278474,281043,283570,285865,288099,290291,292385,294446,296316,298175,299888,301615,303209,304807,306266,307654,309029,310356,311591,312782,313938,315062,316071,317054,318041,318979,319899,320769,321612,322423,323237,323999,324697,325388,326077,326706,327273,327819,328345,328875,329437,329986,330482,330943,331438,331913,332358,332786,333178,333568,333937,334318,334686,335013,335324,335672,335996,336315,336595,336883,337179,337445,337728,337972,338216,338426,338627,338845,339052,339260,339467,339637,339803,339992,340146,340305,340476,
29600,1,51,524,2051,5126,9910,16251,23765,32261,41314,50596,60067,69671,79062,88318,97340,105960,114329,122283,130002,137378,144326,150922,157383,163495,169389,174995,180305,185467,190280,194812,199016,203096,207045,210789,214472,218009,221244,224390,227344,230184,232834,235475,237961,240364,242713,244874,246982,248951,250887,252717,254433,256190,257775,259262,260755,262110,263493,264785,266024,267231,268360,269502,270545,271588,272605,273604,274458,275340,276177,276978,277745,278530,279266,279963,280580,281233,281820,282405,282966,283528,284086,284621,285135,285596,286044,286509,286961,287409,287791,288196,288572,288956,289279,289617,289936,290295,290615,290919,291191,291469,291746,292008,292273,292537,292764,293004,293224,293432,293677,293882,294069,294256,294414,294576,294766,294907,295053,295195,
29610,0,22,237,1000,2716,5736,9917,15007,21077,27709,34802,42059,49455,57064,64321,71685,78980,86044,92812,99370,105808,111888,117732,123322,128670,133896,138816,143514,148006,152370,156524,160455,164163,167749,171119,174318,177473,180472,183250,186074,188693,191224,193598,195859,198006,200143,202249,204168,205993,207804,209468,211074,212591,214077,215540,216876,218243,219534,220746,221921,223012,224079,225080,226124,227138,228038,228948,229754,230575,231391,232164,232898,233651,234359,235032,235624,236252,236863,237426,238007,238546,239077,239581,240091,240524,240959,241367,241751,242148,242528,242929,243317,243666,244000,244328,244684,244988,245307,245591,245870,246125,246356,246623,246878,247071,247290,247487,247712,247937,248134,248326,248502,248673,248840,249009,249188,249348,249487,249659,
29620,0,2,66,369,1189,2706,5109,8336,12293,16855,21860,27183,32667,38353,44035,49806,55380,60893,66389,71851,76989,82007,86820,91641,96163,100557,104820,108826,112673,116495,120091,123598,126888,130004,133041,136012,138785,141540,144138,146578,148859,151103,153213,155305,157330,159244,161126,162904,164607,166253,167885,169369,170722,172077,173393,174719,175949,177109,178264,179340,180386,181439,182344,183277,184185,185068,185887,186711,187519,188232,189016,189730,190419,191088,191727,192337,192891,193421,193952,194488,195009,195492,195966,196419,196859,197299,197709,198104,198483,198852,199197,199542,199876,200207,200511,200816,201090,201360,201635,201913,202162,202399,202612,202867,203083,203283,203492,203706,203927,204112,204302,204500,204685,204853,205019,205194,205329,205484,205620,
29630,0,0,16,146,566,1431,2809,4763,7288,10258,13660,17396,21453,25516,29758,34182,38620,43031,47472,51743,55938,59984,64024,67938,71723,75443,79080,82484,85764,89028,92218,95191,97991,100830,103537,106090,108609,110938,113183,115390,117443,119441,121355,123230,125009,126713,128399,129978,131496,132936,134361,135741,137031,138287,139468,140621,141717,142729,143772,144778,145672,146598,147511,148351,149147,149918,150732,151426,152162,152858,153511,154150,154803,155447,156061,156653,157194,157744,158243,158719,159217,159678,160101,160539,160921,161288,161688,162074,162473,162820,163178,163495,163832,164137,164433,164700,164958,165174,165456,165732,165961,166186,166422,166650,166846,167040,167249,167428,167614,167810,167998,168171,168334,168506,168653,168791,168942,169074,169213,
29640,0,1,8,60,214,598,1216,2191,3620,5387,7451,9933,12512,15352,18423,21552,24676,27983,31215,34389,37614,40839,43983,47092,50074,53094,55899,58635,61367,63967,66510,68908,71318,73591,75863,77978,80045,82072,84000,85868,87693,89409,91133,92832,94320,95812,97254,98627,99911,101131,102296,103502,104664,105804,106868,107909,108901,109781,110730,111610,112482,113268,114068,114786,115531,116263,116964,117616,118238,118873,119496,120070,120654,121223,121752,122280,122769,123232,123671,124115,124545,124978,125384,125782,126171,126517,126927,127270,127617,127938,128244,128556,128864,129148,129404,129646,129909,130144,130370,130612,130831,131042,131243,131438,131611,131791,131973,132158,132332,132496,132662,132797,132933,133061,133210,133359,133496,133630,133760,
29650,0,0,1,10,39,152,382,787,1383,2179,3246,4460,5971,7626,9408,11332,13267,15310,17477,19638,21804,24021,26192,28401,30585,32654,34786,36901,38855,40844,42762,44708,46504,48289,50029,51698,53328,54881,56429,57917,59394,60798,62176,63474,64712,65951,67164,68270,69377,70417,71426,72408,73364,74274,75204,76060,76907,77714,78517,79315,80092,80757,81465,82096,82703,83304,83863,84477,85009,85552,86030,86554,87036,87509,87958,88431,88793,89202,89577,89957,90338,90687,91057,91372,91727,92032,92332,92630,92932,93222,93512,93800,94052,94289,94544,94783,95010,95228,95429,95623,95841,96025,96211,96397,96555,96733,96897,97048,97186,97332,97478,97614,97743,97849,97984,98103,98224,98358,98476,
29660,0,0,0,4,6,25,79,185,344,619,978,1484,2104,2787,3575,4469,5429,6442,7598,8740,9943,11229,12460,13761,15022,16350,17665,18955,20189,21434,22734,23941,25198,26440,27633,28774,29926,31007,32104,33176,34206,35203,36166,37118,38051,38918,39806,40643,41477,42307,43086,43839,44494,45222,45904,46547,47142,47765,48368,48943,49518,50036,50579,51077,51608,52042,52532,53021,53466,53855,54268,54672,55026,55395,55769,56116,56472,56798,57106,57429,57713,58007,58298,58571,58825,59066,59316,59546,59802,60038,60228,60438,60638,60852,61043,61223,61420,61600,61752,61933,62080,62251,62401,62564,62689,62846,62986,63106,63231,63379,63506,63616,63710,63825,63935,64038,64139,64247,64348,
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297198,8442,40120,88115,141691,195033,244711,290175,331711,369191,402822,433162,460488,485108,507601,527848,546470,563410,578850,593233,606286,618332,629482,639642,649147,658054,666299,674013,681207,687977,694415,700462,706059,711378,716224,720939,725233,729354,733190,736799,740258,743415,746504,749461,752206,754892,757411,759808,761952,764163,766183,768072,769931,771673,773292,774873,776421,777894,779327,780653,781920,783142,784339,785411,786499,787517,788495,789448,790379,791279,792099,792912,793660,794395,795073,795730,796447,797074,797656,798245,798831,799394,799908,800393,800880,801333,801798,802250,802642,803058,803435,803796,804157,804503,804829,805144,805443,805748,806030,806323,806574,806851,807128,807383,807622,807861,808052,808257,808457,808668,808887,809076,809249,809405,809580,809781,809942,810108,810268,810409,
297224,4369,25259,60846,103491,148216,191574,232425,270070,304163,335656,364084,389408,412623,434203,453691,471562,488073,503119,516859,529560,541409,552447,562639,572190,581040,589243,596738,603890,610515,616693,622476,627941,633240,638111,642661,647054,651147,654933,658589,662036,665229,668293,671277,674139,676771,679214,681700,683995,686212,688232,690107,692020,693793,695495,697176,698715,700223,701635,702959,704269,705542,706697,707868,708922,709957,710971,711892,712797,713673,714516,715308,716091,716923,717618,718327,718968,719622,720252,720815,721413,721949,722481,722994,723468,723902,724371,724835,725261,725720,726068,726448,726797,727166,727479,727852,728163,728456,728729,729012,729301,729562,729820,730060,730285,730516,730751,730958,731172,731370,731566,731774,731946,732122,732301,732473,732628,732776,732935,733111,
29737,2029,14384,39210,71585,107436,143349,178177,210883,241440,269585,295597,319497,341281,361330,379808,396730,412691,427259,440692,453023,464520,474921,484800,493966,502853,510860,518276,525270,531855,537961,543721,549133,554154,559105,563475,567703,571755,575647,579347,582820,586085,589129,591993,594714,597339,599853,602236,604485,606621,608643,610544,612452,614278,616040,617642,619183,620609,622077,623443,624798,626060,627271,628431,629561,630630,631686,632663,633549,634404,635380,636200,636961,637686,638401,639084,639734,640388,641045,641713,642291,642871,643412,643922,644450,644949,645392,645853,646289,646727,647093,647459,647801,648173,648523,648848,649196,649512,649816,650114,650378,650650,650909,651173,651408,651645,651879,652085,652303,652520,652696,652888,653079,653271,653448,653627,653791,653960,654159,654286,
29742,831,7634,23243,46253,73153,101558,129890,157790,184185,208817,231690,252853,272486,290928,308163,323754,338515,352376,365022,376689,387497,397463,407037,415847,424205,432045,439370,446196,452599,458664,464290,469469,474558,479373,483741,488009,491930,495701,499250,502672,505912,508875,511719,514458,517133,519608,522000,524288,526417,528455,530436,532397,534195,535880,537555,539120,540624,542051,543422,544711,545928,547118,548278,549420,550467,551487,552459,553375,554269,555168,556019,556813,557605,558326,559065,559720,560341,561003,561606,562219,562810,563331,563899,564360,564847,565332,565782,566234,566675,567082,567481,567855,568211,568526,568876,569166,569470,569796,570099,570359,570654,570945,571197,571423,571664,571904,572133,572351,572549,572751,572942,573139,573319,573502,573668,573826,573979,574143,574288,
29750,258,3245,12193,26883,45702,66880,88783,110980,132419,153143,172716,191198,208702,224754,239936,253952,267355,279542,291213,302060,312277,321739,330497,338764,346462,353785,360556,367110,373113,379054,384514,389664,394420,398949,403333,407362,411190,414991,418366,421718,424916,427834,430603,433423,435934,438404,440681,442912,444951,446886,448844,450681,452373,454017,455656,457207,458658,460086,461396,462624,463825,464994,466142,467305,468390,469386,470361,471314,472172,472976,473818,474583,475350,476055,476757,477446,478106,478688,479349,479945,480471,481028,481555,482055,482543,483037,483526,483974,484424,484837,485233,485594,485976,486318,486629,486959,487249,487549,487824,488095,488340,488644,488884,489129,489361,489609,489860,490073,490283,490495,490690,490845,491019,491193,491346,491533,491688,491840,491998,
29760,126,1837,7790,18268,32829,49544,67600,86387,104804,122982,140344,156744,172439,186976,200946,213975,226248,237666,248524,258619,268058,277021,285284,293153,300749,307731,314143,320230,326140,331753,336981,341989,346589,351028,355259,359267,363044,366625,369979,373164,376224,379057,381838,384549,387047,389445,391821,394023,396094,398111,400008,401777,403483,405117,406654,408113,409580,410944,412301,413520,414679,415818,416879,417991,419015,420021,420949,421888,422769,423598,424414,425226,426008,426722,427394,428073,428721,429362,429920,430493,431051,431601,432086,432592,433084,433540,434010,434461,434880,435310,435710,436126,436506,436873,437203,437514,437813,438110,438400,438691,438976,439237,439483,439741,439947,440201,440427,440644,440856,441029,441237,441429,441614,441803,441987,442147,442288,442454,442610,
29770,42,943,4645,11846,22283,35087,49493,64556,80055,95477,110436,124746,138446,151758,164062,175853,186956,197345,207213,216526,225291,233623,241487,248880,255780,262342,268367,274251,279806,285040,289964,294604,299132,303373,307411,311173,314734,318106,321281,324251,327233,330087,332748,335301,337748,340098,342288,344409,346340,348249,350063,351802,353481,355094,356611,358020,359429,360809,362082,363359,364516,365658,366747,367794,368810,369791,370744,371632,372482,373349,374082,374872,375624,376330,376975,377649,378284,378903,379460,380039,380598,381137,381678,382173,382668,383123,383582,384012,384444,384852,385261,385670,386034,386395,386746,387085,387385,387685,387976,388251,388552,388860,389094,389358,389584,389795,390013,390232,390413,390610,390800,390986,391177,391346,391508,391671,391820,391988,392157,
29780,18,426,2392,6877,13945,23271,34146,46118,58673,71160,83568,95595,107334,118524,129394,139929,149910,159308,168282,176748,184741,192249,199348,206298,212672,218713,224440,229924,235117,239997,244629,249017,253315,257245,261016,264482,267876,271044,274112,276987,279740,282490,285048,287538,289789,292038,294153,296218,298162,299962,301739,303409,304990,306476,307927,309352,310715,312029,313325,314583,315754,316812,317865,318960,319894,320848,321779,322652,323475,324308,325102,325807,326506,327229,327854,328525,329127,329701,330269,330816,331370,331899,332395,332857,333329,333747,334147,334586,335023,335448,335817,336190,336560,336918,337234,337544,337863,338182,338485,338753,339026,339296,339514,339757,339989,340214,340438,340681,340876,341070,341283,341461,341650,341842,342021,342206,342340,342501,342674,
29790,3,178,1156,3732,8055,14213,21827,30655,39881,49772,59754,69580,79291,88783,97974,107026,115451,123469,131325,138691,145667,152411,158830,164933,170792,176328,181548,186593,191205,195769,199936,203951,207832,211511,215081,218372,221615,224619,227494,230156,232844,235313,237717,240009,242186,244338,246312,248205,250075,251855,253497,255076,256568,258047,259464,260781,262139,263431,264641,265792,266901,267944,268928,269920,270927,271835,272688,273526,274320,275097,275830,276525,277216,277872,278534,279088,279647,280235,280775,281357,281897,282383,282849,283330,283757,284205,284643,285034,285413,285853,286232,286578,286909,287237,287545,287881,288145,288451,288716,288987,289247,289469,289700,289931,290141,290355,290572,290777,290974,291158,291350,291551,291741,291903,292073,292220,292358,292512,292667,
29800,0,54,431,1664,4061,7839,12773,18682,25348,32661,39970,47576,55132,62594,69986,77205,84186,91154,97710,103858,109737,115424,120941,126169,131198,135910,140481,144924,149042,152995,156799,160516,163970,167250,170508,173548,176465,179159,181727,184179,186548,188798,191050,193196,195211,197149,198997,200753,202437,204072,205601,207059,208538,209851,211199,212474,213709,214866,216002,217078,218119,219111,220099,221060,221941,222858,223704,224517,225238,225975,226659,227357,228015,228661,229278,229883,230392,230999,231533,232027,232532,232973,233409,233861,234282,234699,235080,235485,235871,236265,236620,236942,237266,237589,237923,238218,238523,238785,239040,239298,239530,239752,239973,240204,240374,240589,240806,240999,241193,241381,241568,241751,241909,242081,242225,242376,242524,242653,242803,
29810,0,11,172,714,2037,4210,7171,11089,15595,20677,26047,31710,37394,43221,49134,54850,60457,66103,71565,76813,81890,86734,91517,96033,100304,104537,108493,112303,116045,119599,123012,126272,129445,132428,135214,137969,140602,143112,145498,147740,149932,152075,154045,155926,157732,159510,161175,162761,164344,165864,167348,168739,169977,171214,172499,173616,174729,175820,176904,177868,178833,179731,180675,181599,182462,183310,184063,184825,185523,186227,186916,187587,188207,188842,189418,189966,190510,191036,191560,191982,192430,192875,193300,193706,194119,194522,194889,195261,195601,195938,196297,196611,196931,197231,197518,197807,198036,198300,198551,198788,198998,199213,199441,199679,199893,200080,200276,200468,200671,200840,201005,201180,201342,201517,201674,201813,201959,202094,202215,
29820,0,3,52,251,768,1867,3437,5546,8199,11276,14895,18694,22683,26831,30989,35288,39620,43869,48098,52178,56292,60169,63931,67553,71139,74576,77989,81203,84230,87213,90143,92874,95480,98053,100554,102929,105106,107235,109347,111415,113323,115197,116934,118655,120233,121832,123329,124808,126232,127626,128923,130120,131313,132470,133547,134611,135627,136606,137561,138522,139440,140284,141080,141849,142554,143292,143987,144625,145279,145920,146560,147165,147753,148346,148842,149353,149877,150363,150814,151269,151697,152100,152509,152870,153279,153618,153999,154358,154671,154981,155255,155569,155854,156131,156370,156633,156881,157126,157367,157591,157801,158017,158264,158434,158621,158795,158970,159166,159356,159524,159691,159845,159998,160125,160271,160421,160553,160672,160799,
29830,0,0,7,40,193,616,1292,2312,3650,5373,7275,9512,11910,14515,17307,20052,22846,25706,28628,31507,34293,37091,39891,42519,45209,47877,50411,52831,55286,57671,59889,62058,64162,66127,68080,69964,71738,73530,75227,76883,78451,79997,81491,82892,84205,85520,86774,87921,89062,90168,91239,92352,93371,94276,95211,96132,97025,97880,98731,99517,100245,100931,101566,102280,102920,103517,104111,104701,105256,105783,106292,106823,107320,107841,108314,108780,109218,109638,110039,110417,110798,111171,111502,111854,112212,112521,112847,113141,113436,113702,114000,114275,114575,114837,115060,115294,115527,115748,115968,116168,116343,116541,116726,116894,117079,117244,117398,117566,117715,117871,118019,118148,118283,118424,118554,118694,118810,118948,119075,
29840,0,0,0,7,28,105,275,559,1034,1663,2506,3466,4563,5819,7261,8691,10265,11819,13509,15214,16852,18587,20272,21962,23647,25384,27025,28635,30217,31858,33421,34949,36394,37792,39167,40502,41830,43096,44321,45509,46692,47789,48951,49941,50903,51871,52852,53750,54632,55535,56369,57132,57980,58761,59464,60122,60858,61523,62190,62842,63427,64006,64570,65142,65665,66165,66670,67147,67593,68048,68465,68870,69280,69690,70072,70430,70783,71119,71457,71778,72085,72367,72646,72948,73238,73522,73786,74064,74313,74541,74761,74984,75204,75407,75620,75802,75979,76184,76342,76508,76678,76823,76984,77113,77265,77413,77550,77675,77805,77929,78059,78178,78308,78421,78519,78638,78734,78833,78931,
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29876845,83635,198965,308123,401940,480747,547540,603785,651686,692821,728575,759613,787002,811475,833135,852454,870006,885894,900296,913074,924819,935585,945462,954501,963204,971162,978382,985093,991316,997133,1002616,1007681,1012503,1017010,1021154,1025054,1028877,1032441,1035782,1038855,1041710,1044433,1047113,1049547,1051870,1054124,1056200,1058154,1060041,1061867,1063507,1065158,1066726,1068253,1069707,1071053,1072252,1073420,1074617,1075678,1076740,1077756,1078689,1079630,1080561,1081466,1082269,1083056,1083761,1084504,1085208,1085878,1086506,1087116,1087688,1088273,1088826,1089338,1089835,1090333,1090789,1091261,1091695,1092114,1092498,1092866,1093250,1093595,1093928,1094264,1094560,1094880,1095173,1095443,1095724,1096002,1096270,1096523,1096770,1097000,1097222,1097428,1097636,1097820,1098003,1098209,1098395,1098569,1098750,1098929,1099091,1099258,1099392,1099537,1099688,1099820,1099933,1100074,1100188,1100305,
29882198,44322,125553,212285,292519,363227,424305,477372,522940,562815,597482,628241,655563,679792,701507,720858,738498,754448,769109,782367,794509,805501,815729,825279,833864,841972,849534,856478,863050,869032,874750,880086,885033,889564,894038,898229,902052,905567,909024,912148,915172,918048,920743,923308,925720,928002,930153,932161,934161,936095,937939,939683,941295,942902,944442,945847,947187,948552,949763,950915,952024,953116,954153,955153,956062,957010,957877,958721,959524,960345,961067,961810,962509,963139,963752,964308,964877,965436,965989,966545,967055,967526,967986,968437,968908,969286,969638,970011,970377,970708,971040,971377,971681,971997,972307,972597,972896,973180,973412,973683,973930,974168,974392,974603,974820,975029,975216,975424,975608,975771,975944,976120,976273,976425,976598,976755,976895,977041,977162,977262,
2989485,19121,68271,130067,193024,251284,303909,350742,392736,429512,461864,490834,516794,540149,561276,580241,597645,613586,628021,641183,653545,664897,675377,685120,693932,702162,709742,716910,723479,729594,735389,740791,745874,750578,754929,759086,763047,766724,770248,773593,776702,779752,782625,785261,787846,790284,792566,794798,796986,798952,800848,802651,804366,805996,807524,809012,810430,811769,813084,814311,815467,816647,817784,818802,819814,820753,821648,822532,823364,824211,824971,825664,826362,826996,827621,828277,828853,829420,829957,830470,831030,831550,832033,832525,832958,833400,833834,834236,834638,835031,835393,835709,836047,836357,836660,837012,837280,837577,837869,838140,838410,838674,838904,839133,839358,839545,839740,839954,840150,840328,840493,840669,840823,841005,841160,841338,841467,841585,841725,841840,
2990169,11176,46606,95513,148405,199511,247154,289799,327979,362823,393946,421788,446743,469337,490255,509033,526136,541590,555837,568966,581112,592318,602553,611871,620777,629136,636811,643953,650536,656688,662540,667993,673120,677903,682422,686725,690669,694501,698067,701487,704650,707686,710582,713307,715860,718331,720615,722842,724942,726935,728853,730637,732378,733994,735527,736952,738390,739784,741054,742352,743580,744697,745787,746807,747827,748769,749671,750570,751450,752288,753042,753793,754499,755161,755838,756508,757166,757755,758310,758847,759369,759895,760388,760877,761378,761806,762237,762624,763057,763445,763791,764154,764531,764856,765154,765491,765759,766051,766292,766535,766809,767042,767277,767523,767720,767910,768119,768319,768546,768730,768929,769090,769248,769414,769568,769741,769889,770031,770165,770292,
299170,5994,29673,66169,108921,152100,193065,230978,265809,297495,326692,352533,376120,397355,416804,434640,451147,465990,479904,492578,504447,515302,525360,534762,543441,551506,559106,566057,572647,578802,584697,590032,595231,600030,604582,608921,612980,616794,620266,623590,626790,629822,632749,635514,638199,640644,643018,645242,647340,649278,651211,653014,654797,656420,658009,659581,660999,662374,663695,664951,666223,667411,668583,669680,670729,671740,672660,673535,674403,675282,676109,676874,677645,678372,679046,679725,680330,680927,681488,682027,682580,683086,683630,684182,684646,685122,685550,685981,686411,686801,687189,687546,687882,688197,688508,688813,689104,689363,689616,689853,690094,690353,690609,690843,691071,691290,691501,691732,691914,692089,692291,692461,692643,692816,692976,693114,693269,693410,693563,693700,
299213,2789,16994,42424,74340,108647,143079,175638,206043,234486,260718,284644,306361,326512,344918,361703,377277,391766,404959,417237,428518,439172,448844,457730,466205,474076,481319,488287,494634,500600,506147,511546,516626,521364,525924,530050,534077,537908,541550,544943,548095,551112,553962,556754,559391,561854,564273,566522,568550,570617,572493,574368,576157,577941,579504,580989,582438,583861,585161,586517,587826,589077,590193,591277,592286,593193,594180,595137,596015,596813,597626,598389,599085,599790,600465,601074,601749,602371,602982,603587,604127,604645,605134,605635,606137,606594,607059,607465,607875,608273,608654,608993,609361,609664,610003,610308,610651,610960,611280,611574,611861,612138,612394,612635,612876,613064,613263,613477,613674,613865,614052,614222,614389,614558,614749,614910,615056,615196,615351,615481,
29933,1009,8462,24609,47159,72584,99235,125707,151443,175682,198682,219893,239580,257766,274511,290100,304435,317641,329882,341363,352033,361955,371254,379991,387949,395496,402613,409262,415475,421371,426911,431990,436980,441472,445880,449999,453890,457437,460954,464271,467416,470401,473203,475886,478441,480881,483170,485377,487453,489425,491314,493099,494824,496456,498076,499584,501013,502320,503624,504889,506077,507298,508406,509482,510490,511498,512448,513356,514239,515085,515880,516678,517389,518094,518805,519499,520153,520775,521343,521901,522446,522949,523480,523973,524493,524973,525425,525861,526294,526733,527141,527505,527877,528227,528557,528882,529197,529522,529788,530070,530313,530561,530852,531101,531324,531549,531731,531940,532141,532330,532522,532697,532874,533050,533234,533407,533555,533693,533840,533957,
29941,486,5031,16459,33503,54172,76696,99448,121973,143403,163766,182669,200677,217455,233037,247204,260743,273241,284791,295797,305782,315252,324139,332561,340229,347442,354314,360884,366938,372715,378040,383073,387846,392394,396618,400702,404373,407957,411474,414683,417802,420679,423423,426064,428620,431054,433357,435558,437635,439574,441392,443209,444896,446580,448127,449587,451056,452464,453824,455062,456279,457423,458513,459572,460623,461617,462594,463504,464386,465229,466047,466825,467550,468268,468941,469595,470278,470918,471475,472012,472522,473050,473571,474089,474540,474961,475417,475850,476263,476680,477091,477449,477819,478161,478449,478772,479072,479390,479694,479961,480232,480484,480770,480987,481232,481438,481659,481872,482098,482304,482484,482668,482838,483014,483189,483352,483508,483646,483796,483928,
29950,238,2840,10433,22624,38439,56161,74840,93765,111972,129946,146846,162924,178026,191897,205008,217608,229265,240300,250530,260226,269172,277521,285274,292625,299548,305916,312046,317789,323284,328441,333154,337785,342065,346064,349911,353603,357027,360328,363475,366585,369454,372154,374720,377236,379620,381843,383919,385945,387900,389694,391466,393131,394814,396402,397799,399233,400523,401804,403020,404203,405339,406417,407461,408480,409450,410360,411275,412225,413063,413889,414610,415367,416079,416730,417398,418048,418638,419224,419789,420355,420894,421426,421891,422370,422830,423264,423720,424139,424582,424976,425368,425690,426033,426335,426624,426909,427252,427532,427800,428074,428384,428651,428897,429113,429373,429579,429807,429984,430186,430374,430548,430745,430916,431086,431261,431418,431562,431686,431829,
29960,80,1451,5979,14238,25658,39285,54265,69426,84785,99799,114497,128515,141696,154258,166183,177161,187846,197780,207323,216188,224417,232126,239407,246418,252770,258973,264789,270224,275336,280144,284657,288987,293207,297182,300902,304362,307695,310848,313820,316682,319442,322066,324574,326867,329252,331373,333380,335261,337155,338886,340561,342232,343849,345312,346713,348092,349376,350641,351900,353070,354206,355254,356262,357278,358276,359202,360127,360928,361734,362537,363281,363994,364644,365296,365910,366525,367117,367721,368320,368869,369420,369918,370391,370876,371293,371701,372131,372515,372880,373270,373643,373990,374337,374670,374976,375276,375594,375876,376153,376400,376647,376886,377133,377369,377581,377823,378009,378214,378418,378581,378772,378940,379111,379284,379456,379597,379726,379872,380016,
29970,34,623,3022,8127,15654,25154,36329,48085,60092,72364,84308,95858,107011,117673,127962,137742,147017,155810,164080,171982,179532,186560,193197,199440,205379,211073,216537,221698,226587,231097,235389,239387,243352,247098,250614,253941,257159,260178,263077,265787,268367,270871,273244,275476,277649,279727,281643,283558,285337,287045,288680,290265,291782,293174,294534,295820,297101,298334,299430,300572,301696,302752,303759,304762,305669,306555,307384,308218,309015,309823,310538,311253,311934,312578,313193,313768,314370,314949,315487,316015,316507,316968,317451,317906,318380,318804,319228,319619,320010,320390,320772,321099,321446,321758,322036,322336,322639,322902,323153,323405,323640,323893,324126,324366,324600,324826,325040,325243,325416,325594,325773,325953,326131,326291,326448,326598,326732,326866,327004,
29980,8,243,1329,4056,8591,14694,22270,30696,39732,48870,58062,67222,76204,84980,93476,101748,109570,117168,124345,130952,137423,143668,149639,155372,160711,165766,170538,175117,179384,183576,187594,191341,194950,198343,201552,204582,207505,210281,213003,215438,217872,220166,222374,224454,226432,228413,230310,232106,233761,235401,236916,238378,239848,241250,242470,243773,244952,246154,247242,248346,249355,250313,251278,252183,253048,253933,254798,255566,256289,257022,257748,258399,259107,259765,260391,260995,261542,262047,262560,263071,263588,264045,264478,264926,265360,265740,266089,266463,266859,267208,267573,267889,268186,268513,268821,269135,269399,269670,269961,270216,270479,270724,270952,271201,271423,271646,271842,272040,272238,272436,272604,272757,272924,273091,273249,273411,273553,273702,273856,
29990,1,75,506,1881,4384,8259,13259,19078,25487,32303,39353,46551,53566,60742,67660,74391,80730,87174,93185,98990,104609,109889,115021,119893,124638,129127,133448,137448,141312,145082,148693,152157,155426,158558,161426,164289,166934,169495,171917,174154,176328,178417,180510,182464,184320,186042,187806,189428,190963,192468,193807,195150,196454,197720,198936,200041,201171,202220,203292,204323,205256,206187,207110,207977,208813,209591,210361,211102,211809,212540,213172,213820,214462,215070,215605,216153,216654,217139,217617,218076,218526,218981,219415,219823,220244,220644,221028,221425,221746,222096,222423,222748,223037,223322,223612,223898,224160,224414,224640,224886,225096,225308,225527,225763,225961,226140,226328,226541,226734,226896,227074,227246,227401,227567,227740,227886,228011,228163,228282,
30000,1,15,165,697,1902,3896,6567,9982,14064,18641,23559,28667,33822,39048,44279,49398,54584,59569,64508,69243,73850,78209,82370,86534,90463,94180,97832,101262,104614,107735,110791,113815,116675,119313,121901,124388,126707,128868,131109,133222,135185,137105,138935,140640,142317,143919,145469,146966,148340,149683,151009,152240,153439,154624,155714,156800,157859,158858,159835,160762,161649,162498,163303,164080,164808,165565,166278,167007,167642,168296,168923,169522,170067,170649,171175,171718,172188,172661,173106,173563,173994,174377,174775,175136,175532,175878,176232,176592,176922,177254,177547,177859,178121,178407,178674,178914,179153,179364,179590,179835,180056,180294,180496,180698,180881,181059,181261,181432,181621,181770,181937,182076,182232,182371,182532,182655,182805,182949,183078,
30010,0,0,31,181,610,1386,2567,4326,6416,8891,11817,14843,18233,21755,25153,28679,32309,36042,39557,43076,46439,49766,52936,55977,58910,61884,64692,67484,70225,72756,75214,77592,79788,82033,84180,86254,88199,90038,91971,93650,95285,96894,98477,100003,101367,102759,104079,105348,106539,107749,108900,110012,111035,112079,113049,113943,114760,115602,116407,117258,118018,118722,119455,120126,120823,121432,122049,122645,123242,123846,124379,124896,125477,125948,126433,126863,127304,127722,128126,128502,128911,129286,129648,129990,130335,130672,130976,131295,131611,131922,132223,132497,132759,132990,133206,133420,133665,133901,134128,134351,134562,134754,134947,135143,135312,135457,135622,135768,135947,136108,136249,136395,136524,136657,136793,136911,137024,137129,137237,
30020,0,0,0,33,109,310,643,1178,1974,2971,4172,5635,7267,9029,11015,12973,14987,17001,19157,21318,23421,25546,27553,29644,31646,33561,35471,37323,39183,40924,42673,44398,46004,47570,49098,50633,52078,53478,54867,56133,57423,58588,59688,60772,61858,62867,63886,64860,65816,66777,67729,68555,69373,70194,70938,71699,72430,73140,73790,74444,75076,75681,76242,76803,77353,77894,78416,78926,79399,79887,80342,80789,81217,81638,82030,82414,82800,83149,83487,83839,84146,84460,84756,85044,85322,85632,85924,86183,86427,86681,86925,87171,87398,87615,87826,88012,88222,88437,88610,88791,88945,89119,89263,89402,89571,89717,89860,89992,90121,90263,90390,90499,90602,90722,90848,90944,91056,91182,91283,
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30150,100,1431,5946,14042,24765,37611,51545,65709,79877,93830,107389,120426,132514,144092,155035,165744,175526,184530,193171,201191,208998,216277,223216,229624,235616,241337,246768,251887,256801,261332,265620,269628,273455,277101,280584,283909,287029,290072,292896,295642,298242,300582,302897,305105,307289,309340,311279,313047,314835,316525,318144,319710,321182,322637,323925,325249,326511,327714,328910,329974,330957,331939,332950,333873,334763,335577,336433,337253,338014,338746,339482,340166,340850,341501,342145,342708,343307,343817,344371,344872,345371,345837,346310,346726,347142,347558,347959,348367,348746,349101,349467,349775,350058,350397,350710,351002,351294,351555,351810,352058,352286,352539,352766,352994,353221,353422,353620,353803,353976,354115,354283,354446,354633,354794,354942,355106,355247,355394,355528,
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30511,558,4753,14372,28558,45357,63513,81629,99496,116777,133262,148818,163331,176711,189289,200919,211976,222245,231939,240815,249247,257214,264714,271607,278104,284200,289829,295237,300461,305246,309707,313895,317958,321796,325455,328989,332238,335230,338037,340828,343496,345977,348337,350609,352848,354929,356921,358807,360568,362270,363921,365440,366923,368353,369715,371068,372343,373540,374725,375819,376820,377877,378811,379709,380618,381492,382292,383108,383886,384609,385322,386042,386695,387387,387968,388553,389137,389756,390290,390804,391294,391804,392246,392669,393058,393455,393840,394243,394610,394984,395314,395641,395948,396241,396519,396840,397112,397378,397621,397882,398111,398341,398568,398785,399015,399222,399451,399611,399796,399957,400133,400294,400432,400584,400749,400910,401050,401182,401300,401421,
30520,165,2096,7495,16505,28065,41343,55122,69182,83132,96649,109644,122156,133738,144615,155008,164835,173977,182629,190642,198160,205415,212297,218628,224567,230072,235376,240400,245048,249634,253793,257744,261459,265135,268523,271790,274833,277712,280424,282958,285416,287877,290110,292320,294398,296415,298280,300103,301859,303519,305104,306607,307991,309359,310636,311861,313117,314244,315399,316467,317469,318490,319413,320335,321235,322110,322908,323669,324426,325103,325784,326469,327067,327702,328276,328853,329386,329888,330406,330890,331379,331814,332290,332737,333167,333551,333958,334307,334675,335052,335412,335769,336087,336392,336687,336988,337263,337570,337836,338096,338316,338530,338741,338971,339209,339390,339570,339754,339916,340087,340269,340419,340563,340720,340887,341030,341164,341322,341466,341577,
30530,53,878,3727,9177,16625,25894,36221,46876,57691,68327,79055,89309,99163,108440,117396,125887,133946,141523,148584,155344,161645,167780,173448,178901,184161,188995,193734,198097,202183,206175,209754,213270,216748,219844,222828,225740,228444,231030,233474,235775,238145,240290,242409,244431,246244,248098,249818,251457,252985,254508,255958,257325,258637,259895,261114,262295,263323,264365,265347,266332,267294,268225,269067,269894,270667,271485,272196,272904,273575,274279,274960,275578,276185,276758,277299,277819,278336,278778,279231,279711,280151,280562,280945,281315,281733,282099,282444,282783,283148,283489,283829,284106,284434,284719,284984,285244,285483,285679,285939,286181,286398,286640,286838,287066,287262,287446,287616,287823,287999,288167,288333,288495,288654,288805,288927,289060,289178,289302,289433,
30540,7,270,1473,4237,8489,14167,20959,28473,36352,44461,52432,60285,67870,75407,82515,89464,96097,102403,108504,114167,119699,125040,129959,134725,139262,143570,147604,151515,155265,158690,162063,165256,168281,171168,173957,176594,179115,181499,183810,185879,187938,189998,191905,193758,195547,197222,198884,200472,201955,203339,204634,205925,207107,208291,209376,210484,211510,212574,213493,214411,215315,216174,216989,217758,218474,219165,219892,220555,221189,221783,222363,222980,223552,224105,224658,225177,225615,226092,226549,226991,227397,227810,228210,228593,228974,229336,229654,229970,230328,230648,230937,231221,231505,231769,232039,232272,232507,232755,232961,233185,233382,233583,233804,234009,234217,234408,234599,234777,234946,235127,235272,235410,235547,235681,235822,235943,236066,236179,236291,
30550,1,58,388,1414,3138,5935,9617,13924,18796,23931,29107,34512,40042,45502,50734,55959,60950,65965,70759,75347,79790,84065,88082,91915,95541,99061,102356,105670,108767,111761,114576,117353,119941,122341,124716,127008,129127,131291,133211,135214,136976,138727,140417,142032,143577,145000,146470,147834,149156,150454,151621,152762,153909,154967,155947,156969,157924,158822,159725,160555,161303,162058,162808,163537,164241,164914,165579,166189,166805,167353,167965,168486,169008,169538,170016,170485,170947,171352,171758,172178,172553,172922,173294,173678,174014,174311,174656,174971,175271,175581,175846,176101,176335,176601,176863,177089,177307,177556,177776,177991,178181,178360,178541,178753,178931,179079,179247,179405,179547,179684,179846,180007,180129,180263,180407,180527,180636,180740,180855,
30560,0,7,42,239,692,1567,2835,4551,6682,9106,11702,14677,17726,20876,24031,27139,30304,33633,36735,39731,42751,45738,48535,51281,53964,56481,58932,61302,63619,65838,67938,70078,72050,73910,75736,77529,79278,80937,82558,84098,85520,86984,88405,89693,90978,92156,93383,94460,95535,96582,97593,98532,99443,100294,101182,102022,102837,103568,104361,105035,105730,106377,107024,107594,108193,108726,109285,109813,110341,110854,111331,111813,112279,112738,113143,113569,113978,114361,114724,115079,115457,115806,116131,116455,116761,117053,117333,117612,117882,118130,118409,118640,118879,119098,119315,119503,119714,119920,120125,120305,120493,120651,120825,120991,121133,121260,121415,121562,121700,121839,121971,122091,122225,122338,122455,122547,122653,122760,122857,
30577599,126467,326349,523692,697316,845620,971612,1079848,1173260,1254498,1325576,1388630,1445056,1495902,1541858,1583585,1621870,1656483,1688478,1718293,1745554,1770961,1794621,1816787,1837608,1857200,1875443,1892727,1908815,1924171,1938884,1952651,1965883,1978425,1990308,2001472,2012217,2022658,2032598,2042110,2051341,2060186,2068509,2076757,2084494,2091917,2099234,2106241,2112869,2119333,2125587,2131626,2137500,2143198,2148725,2153973,2159241,2164266,2169113,2173900,2178353,2182734,2187109,2191326,2195349,2199379,2203201,2206959,2210606,2214148,2217661,2221121,2224487,2227705,2230935,2234151,2237158,2240084,2243028,2245860,2248485,2251186,2253830,2256503,2259105,2261604,2264010,2266332,2268721,2271029,2273327,2275516,2277706,2279878,2281919,2284021,2286055,2288006,2290013,2291929,2293814,2295642,2297530,2299306,2301111,2302853,2304536,2306151,2307786,2309341,2310884,2312445,2313979,2315486,2316944,2318379,2319786,2321094,2322448,2323812,
3058319,26034,114055,237507,368519,494698,612402,718854,815241,902218,980638,1051859,1115700,1174983,1229059,1278784,1324972,1367693,1407167,1443621,1478113,1510133,1539990,1568316,1594827,1619900,1643780,1666270,1687293,1707409,1726261,1744743,1762228,1778932,1794505,1809745,1824108,1837916,1851145,1863766,1875927,1887792,1899004,1909551,1919865,1929931,1939682,1949079,1958069,1966810,1975565,1983827,1991937,1999699,2007256,2014462,2021551,2028400,2035125,2041646,2048019,2054230,2060214,2066063,2071631,2077016,2082302,2087521,2092512,2097500,2102360,2107038,2111631,2116124,2120507,2124869,2129023,2133178,2137086,2141078,2144922,2148623,2152327,2155867,2159315,2162811,2166253,2169736,2173049,2176267,2179232,2182349,2185338,2188338,2191245,2194097,2196838,2199578,2202248,2204843,2207433,2209926,2212477,2214983,2217368,2219790,2222138,2224488,2226736,2229025,2231207,2233362,2235526,2237627,2239731,2241779,2243742,2245743,2247664,2249595,
305926,6492,45692,120284,213824,313802,413349,508410,598210,681946,759371,831286,897824,958672,1015569,1068480,1117878,1164177,1207131,1247473,1285606,1321152,1354953,1386602,1416479,1444988,1471995,1497233,1521339,1544357,1566258,1586952,1606967,1626098,1644606,1662052,1678807,1694998,1710533,1725366,1739663,1753611,1766776,1779711,1792218,1804363,1815979,1827273,1838274,1848925,1858944,1868811,1878552,1887766,1896570,1905451,1913917,1922219,1930174,1937841,1945270,1952646,1959753,1966691,1973560,1980265,1986728,1993056,1999244,2005161,2011184,2016860,2022380,2027767,2032997,2038190,2043291,2048228,2053077,2057934,2062606,2067190,2071759,2076185,2080432,2084707,2088874,2092877,2096844,2100801,2104568,2108207,2111860,2115453,2119044,2122560,2125870,2129266,2132513,2135749,2138879,2141905,2144883,2147974,2150913,2153845,2156698,2159486,2162330,2165082,2167764,2170438,2173071,2175574,2178107,2180606,2183033,2185414,2187847,2190071,
30600,793,11094,41416,90854,153787,224314,297365,370839,442557,511242,577697,641092,700864,757350,810524,861081,908791,954121,997515,1038357,1077033,1113511,1148782,1181882,1213233,1243341,1271970,1299355,1325623,1350716,1374799,1397839,1419916,1441138,1461362,1481216,1500395,1518566,1536035,1553037,1569339,1585249,1600597,1615310,1629597,1643548,1656891,1669765,1682070,1694414,1706523,1717967,1729036,1739993,1750533,1760712,1770500,1780190,1789683,1798907,1807892,1816618,1825232,1833510,1841549,1849608,1857406,1864955,1872427,1879584,1886765,1893625,1900397,1906965,1913358,1919729,1925805,1931789,1937686,1943458,1949137,1954705,1960137,1965369,1970562,1975705,1980734,1985682,1990434,1995173,1999859,2004493,2008922,2013421,2017855,2022088,2026299,2030391,2034376,2038395,2042150,2046016,2049780,2053580,2057227,2060820,2064303,2067827,2071295,2074715,2078109,2081307,2084616,2087804,2090972,2094051,2097017,2100028,2102879,
30610,16,927,6510,20822,45176,78607,118739,163961,212302,262530,312964,363595,413484,462312,509927,555953,600460,643546,685334,725724,764430,801729,837636,872410,905908,937751,968695,998414,1026588,1053987,1081013,1106709,1131743,1155846,1179454,1202017,1223438,1244377,1264754,1284530,1303901,1322575,1340694,1358004,1375023,1391465,1407526,1423105,1438059,1452731,1467218,1481365,1494981,1508238,1521066,1533764,1546135,1558162,1569806,1581076,1592256,1603147,1613775,1624082,1634163,1643974,1653592,1663083,1672353,1681346,1689995,1698751,1707270,1715505,1723617,1731515,1739192,1746889,1754262,1761630,1768816,1775794,1782655,1789435,1796048,1802619,1809132,1815420,1821649,1827708,1833580,1839577,1845244,1850904,1856299,1861690,1867146,1872388,1877716,1882818,1887972,1892925,1897803,1902564,1907344,1912080,1916634,1921235,1925598,1929933,1934291,1938584,1942723,1946802,1950844,1954892,1958862,1962713,1966586,
30620,6,135,1512,6521,17151,34232,57320,85456,118148,153996,192198,231802,272233,312790,353088,393438,433082,471851,509741,547049,583653,619386,653956,687820,720372,752361,783046,812811,841643,869803,896985,923683,949157,974219,998162,1021797,1044464,1066426,1087635,1108439,1128816,1148517,1168032,1186739,1204891,1222925,1240174,1256971,1273381,1289360,1304867,1320304,1334930,1349502,1363628,1377608,1391097,1404076,1416984,1429488,1441692,1453721,1465326,1476887,1488298,1499296,1509971,1520618,1531118,1541227,1551028,1560816,1570335,1579558,1588664,1597553,1606390,1614918,1623546,1631864,1639906,1647957,1655902,1663609,1671077,1678489,1685775,1693135,1700232,1707186,1713763,1720559,1727071,1733548,1739788,1746207,1752415,1758572,1764470,1770473,1776373,1782053,1787757,1793310,1798677,1804200,1809467,1814675,1819844,1824779,1829888,1834704,1839602,1844430,1849039,1853642,1858189,1862646,1867116,
30630,0,8,162,1216,4198,10226,19987,33760,51259,71828,95589,121558,149347,178436,208801,239688,271201,302971,334606,366191,397562,428921,459844,490124,519706,549123,577849,605658,633391,660441,686825,712520,737437,762340,786584,810158,833420,856100,877870,899430,920368,940727,960736,980494,999622,1018294,1036453,1054092,1071687,1088891,1105601,1122095,1138100,1153651,1168709,1183627,1198273,1212677,1226495,1240230,1253669,1266926,1279863,1292407,1304658,1316821,1328623,1340329,1351823,1363158,1374149,1385067,1395788,1406218,1416446,1426355,1436189,1445860,1455473,1464839,1474018,1483070,1492096,1500871,1509493,1517764,1526116,1534410,1542368,1550289,1558124,1565730,1573233,1580603,1587755,1595050,1602121,1609014,1615805,1622540,1629081,1635644,1642137,1648486,1654890,1661134,1667207,1673253,1679153,1684920,1690630,1696288,1701982,1707409,1712900,1718175,1723537,1728818,1733982,
30640,0,0,10,76,459,1614,4093,8262,14365,22607,33163,45778,60232,76463,94413,113625,133896,155144,177124,199626,222631,245963,269721,293724,317742,341671,365694,389612,413245,436969,460066,483203,506086,528639,550732,572489,593915,614892,635428,655903,676149,696180,715707,735025,754013,772635,791112,808937,826515,843928,861013,877615,893869,910038,925750,941209,956383,971512,986232,1000871,1015490,1029610,1043354,1056860,1070018,1083002,1095736,1108319,1120818,1132823,1144924,1156740,1168277,1179686,1190987,1202171,1212939,1223763,1234460,1244891,1255113,1265025,1275110,1284882,1294397,1303835,1313343,1322514,1331653,1340648,1349375,1357953,1366486,1374845,1383048,1391229,1399317,1407451,1415187,1423002,1430702,1438387,1445787,1453233,1460539,1467754,1474772,1481675,1488545,1495289,1501989,1508473,1515019,1521463,1527737,1533997,1540205,1546304,1552374,
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31720,2,111,1229,5168,13190,25625,42663,63430,87207,113094,140463,168319,196963,225992,254763,283488,312041,339999,367136,393954,420127,445754,470525,494963,518307,541271,563572,585309,606444,626866,646849,666238,685172,703302,720989,738560,755442,771948,787964,803513,818415,833137,847438,861309,874931,888448,901399,914138,926561,938679,950607,962045,973326,984369,994938,1005502,1015871,1026116,1036050,1045721,1055198,1064671,1073674,1082532,1091124,1099703,1108066,1116174,1124193,1132162,1139948,1147540,1155025,1162381,1169734,1176718,1183799,1190669,1197288,1203704,1210117,1216489,1222747,1228775,1234826,1240799,1246646,1252476,1258168,1263867,1269405,1274843,1280328,1285524,1290645,1295744,1300652,1305619,1310508,1315390,1320099,1324815,1329485,1334050,1338481,1342875,1347185,1351576,1355900,1360184,1364368,1368551,1372527,1376631,1380592,1384503,1388364,1392141,1395847,
31730,0,11,154,967,3129,7492,14603,24262,36284,50737,66904,84869,103591,123663,144325,165219,186441,208227,229836,251465,273220,294354,315472,336192,356618,376527,396334,415617,434537,453095,470915,488866,506599,523783,540664,556781,573045,588808,604329,619240,633905,648180,662260,676005,689498,702461,715382,728036,740362,752733,764590,776168,787493,798660,809594,820332,830823,841088,851076,861162,870844,880518,889935,899239,908319,917344,925993,934583,942983,951150,959309,967144,975059,982923,990459,997839,1005112,1012393,1019559,1026511,1033460,1040128,1046856,1053499,1060043,1066529,1072812,1078983,1085076,1091022,1096837,1102678,1108556,1114268,1119750,1125347,1130749,1136093,1141377,1146730,1151880,1157002,1162128,1166964,1171772,1176431,1181144,1185888,1190563,1195271,1199822,1204290,1208794,1213152,1217400,1221658,1225863,1230005,1234136,
31740,0,0,24,264,1034,2762,6049,11108,17991,26471,36745,48343,61365,75538,90724,106484,122729,139858,156799,174381,192010,209748,227795,245492,263262,280503,297909,314771,331608,348310,365014,381162,397228,412740,428373,443708,458846,473677,488148,502267,516245,530001,543414,556710,569655,582495,594928,606990,619180,630934,642621,654141,665483,676608,687559,698015,708328,718692,728669,738731,748429,757796,767165,776417,785481,794391,803254,811793,820392,828852,836996,844906,852883,860820,868516,876091,883499,890792,898054,905291,912295,919320,926259,932930,939585,946307,952736,958920,965188,971320,977439,983425,989231,995005,1000801,1006521,1012206,1017800,1023359,1028767,1034152,1039460,1044614,1049876,1055012,1059914,1064851,1069708,1074584,1079325,1084031,1088642,1093201,1097740,1102297,1106732,1111215,1115479,1119837,
31750,0,0,3,36,190,678,1850,3918,6982,11217,16766,23441,31219,40073,49847,60423,71709,83630,96267,109068,122442,135890,149470,163598,177820,192225,206318,220497,234641,248938,262985,276862,290711,304661,318116,331512,344630,357658,370556,383235,395867,408358,420877,433158,445082,456911,468665,480478,491738,502923,513824,524606,535300,545784,556065,566253,576332,586182,595839,605382,614640,624079,633137,642254,651029,659851,668556,677169,685398,693700,701884,709845,717876,725760,733513,741107,748640,755892,763124,770264,777402,784309,791218,797995,804754,811411,818045,824556,830996,837263,843449,849379,855359,861395,867294,873170,878971,884670,890202,895767,901374,906777,912220,917542,922703,927881,933014,938038,942940,947838,952631,957403,962159,966741,971467,976049,980484,985029,989426,
31760,0,0,0,5,24,127,391,982,1996,3567,5773,8729,12469,16848,22121,27973,34589,41725,49535,57810,66499,75513,84997,94944,104978,115173,125773,136494,147429,158308,169213,180337,191477,202643,213548,224578,235633,246606,257742,268662,279462,290363,301028,311485,322016,332374,342797,353008,363234,373129,383086,392821,402475,412048,421463,430827,439929,449147,458322,467299,476061,484772,493268,501802,510120,518301,526434,534482,542479,550227,558145,565840,573417,580939,588334,595692,603016,610221,617127,624113,630956,637790,644515,651315,657894,664480,670831,677221,683582,689787,695993,702058,708134,713983,719831,725591,731324,736990,742586,748188,753717,759138,764510,769726,775012,780209,785314,790321,795364,800338,805248,809961,814753,819693,824479,829152,833726,838242,842750,
31770,0,0,0,0,1,8,50,144,330,705,1294,2176,3373,5021,7107,9616,12542,15924,19680,23973,28610,33575,39093,44810,50765,57149,63870,70696,77614,85067,92584,100282,108005,115825,123850,131889,140017,148175,156391,164667,173267,181643,189902,198270,206637,214917,223142,231418,239644,247988,256266,264428,272625,280765,288776,296591,304540,312478,320286,328085,335729,343438,350900,358426,365830,373178,380439,387651,394835,402023,409214,416155,423040,429771,436615,443443,450076,456662,463138,469509,475944,482296,488564,494824,501091,507099,513121,519128,525041,530950,536722,542554,548265,553932,559554,565108,570607,575954,581402,586698,591893,597049,602191,607383,612532,617582,622601,627631,632575,637342,642151,646837,651636,656335,661049,665564,670177,674677,679159,
31780,0,0,0,0,0,0,0,7,22,70,152,318,594,934,1418,2062,2922,3928,5205,6690,8486,10510,12695,15174,17829,20798,23959,27413,31001,34819,38841,43071,47344,51973,56679,61518,66328,71329,76452,81864,87133,92702,98174,103703,109350,115051,120759,126582,132437,138298,144137,150004,155998,161966,167902,173886,179832,185962,191963,197906,203716,209569,215572,221581,227348,233231,239131,244964,250811,256649,262424,268224,273936,279602,285292,291018,296693,302259,307898,313437,319013,324478,329935,335262,340740,346134,351392,356627,361747,366977,372009,376996,382044,387116,392053,397056,402012,406879,411730,416423,421198,425845,430529,435234,439861,444450,449001,453537,458100,462485,466850,471252,475677,480085,484407,488683,492858,496994,501176,
31790,0,0,0,0,0,0,0,1,1,1,12,21,48,91,162,252,429,650,942,1335,1827,2413,3100,3915,4818,5886,7036,8431,9933,11499,13185,15053,17041,19166,21420,23890,26511,29061,31739,34595,37427,40429,43604,46941,50148,53668,57140,60756,64362,67950,71589,75261,79105,82892,86768,90789,94785,98879,103008,107175,111283,115463,119643,124001,128225,132466,136695,141049,145344,149645,153965,158227,162558,166866,171336,175721,180067,184509,188717,192999,197196,201415,205737,210058,214317,218577,222834,227041,231249,235387,239474,243602,247652,251672,255782,259886,264011,268102,272077,276116,280019,284007,287949,291898,295890,299905,303818,307682,311557,315393,319206,323052,326772,330577,334395,338113,341785,345512,349248,
31800,0,0,0,0,0,0,0,0,0,0,0,0,0,2,6,14,29,48,70,113,177,258,375,500,664,874,1117,1386,1708,2076,2519,3035,3569,4216,4861,5601,6424,7331,8265,9291,10383,11554,12749,14058,15413,16839,18241,19876,21420,23076,24774,26492,28344,30209,32113,34029,36048,38130,40261,42448,44617,46917,49206,51596,53981,56421,58897,61471,64067,66491,69107,71673,74298,76866,79546,82203,84882,87582,90343,93116,95857,98673,101510,104242,107011,109880,112769,115520,118251,121068,123934,126730,129544,132456,135337,138207,141093,143999,146896,149826,152743,155518,158443,161263,164091,167006,169975,172784,175561,178460,181298,184186,187045,189979,192897,195793,198708,201566,204421,
31810,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,6,14,20,28,36,52,63,91,128,171,229,307,408,502,617,764,907,1067,1258,1475,1710,1928,2213,2530,2867,3227,3577,4006,4425,4890,5410,5897,6423,6972,7512,8107,8775,9448,10155,10804,11571,12383,13188,14011,14860,15786,16715,17726,18655,19616,20621,21615,22699,23785,24865,26000,27210,28346,29539,30753,32064,33345,34637,35893,37180,38532,39829,41224,42617,44070,45487,46992,48466,49938,51432,52911,54389,55913,57516,59014,60648,62225,63787,65344,66942,68588,70222,71880,73500,75101,76749,78381,80048,81802,83424,85135,86829,
31820,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,5,6,11,17,21,24,31,37,46,51,63,79,96,113,135,164,186,214,247,277,319,361,409,465,517,576,644,722,814,920,1007,1092,1214,1324,1447,1582,1728,1881,2048,2202,2367,2561,2752,2924,3113,3325,3532,3784,4034,4298,4567,4813,5072,5341,5640,5972,6260,6612,6939,7271,7587,7920,8278,8643,9021,9413,9824,10223,10637,11072,11503,11911,12340,12813,13295,13773,14257,14734,15186,15710,16263,16799,17322,17881,
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31852,2997,28021,85304,165291,256790,351854,446590,536865,622429,703079,778540,848483,913389,974156,1030833,1084273,1134465,1180759,1224601,1265886,1304435,1340825,1375070,1407392,1438433,1467265,1494665,1520398,1545133,1568666,1591116,1612431,1632968,1652380,1671136,1689156,1706464,1723042,1738717,1753636,1768223,1782319,1795836,1808896,1821184,1833375,1845002,1856219,1867111,1877462,1887467,1897224,1906704,1915889,1924631,1933358,1941631,1950050,1957906,1965683,1973216,1980327,1987178,1993925,2000659,2007036,2013283,2019246,2025136,2030908,2036545,2041949,2047311,2052566,2057568,2062498,2067264,2072035,2076488,2080887,2085283,2089572,2093826,2097936,2101942,2105931,2109690,2113465,2117138,2120698,2124132,2127595,2130901,2134152,2137404,2140598,2143716,2146792,2149807,2152797,2155559,2158298,2160965,2163688,2166444,2169072,2171519,2174085,2176512,2178885,2181328,2183588,2185796,2188128,2190326,2192484,2194660,2196719,2198835,
31860,185,4730,22464,57553,106901,166072,231118,299422,368469,436381,502400,566451,627822,686576,742264,795215,845874,894043,940432,983974,1025477,1065032,1102384,1138497,1172542,1205048,1236071,1265817,1294057,1321025,1347168,1372093,1396018,1419029,1440991,1461934,1482431,1502054,1520936,1539047,1556417,1573298,1589541,1605279,1620349,1635041,1649262,1662985,1676227,1689256,1701876,1713965,1725465,1736696,1747707,1758516,1768948,1778850,1788626,1798157,1807414,1816367,1825225,1833641,1841941,1850001,1857854,1865572,1873065,1880433,1887518,1894301,1901095,1907731,1914117,1920306,1926432,1932378,1938259,1944002,1949560,1954929,1960257,1965359,1970367,1975504,1980385,1985096,1989864,1994572,1998938,2003274,2007618,2011872,2016024,2020069,2024055,2027993,2031739,2035470,2039100,2042786,2046307,2049690,2053123,2056566,2059934,2063164,2066357,2069453,2072512,2075562,2078472,2081383,2084261,2087061,2089861,2092595,2095156,
31870,2,202,2177,8960,22696,44199,72466,107370,146069,188454,232537,278477,324367,370709,416582,461773,506070,549626,591808,632878,672753,711215,748469,784508,819017,852637,885343,916794,947271,976637,1005342,1032948,1059458,1085094,1109957,1133885,1157372,1179839,1201629,1222667,1243209,1263159,1282301,1300909,1318986,1336735,1353802,1370364,1386555,1401981,1417095,1431817,1446165,1460091,1473538,1486614,1499518,1512049,1523972,1535825,1547516,1558758,1569923,1580770,1591529,1601807,1612008,1621633,1631111,1640268,1649500,1658468,1667097,1675571,1683809,1691898,1699900,1707762,1715337,1722852,1730098,1737158,1744183,1750934,1757593,1763997,1770400,1776783,1782954,1789093,1794952,1800798,1806466,1812143,1817650,1823073,1828183,1833419,1838440,1843404,1848366,1853336,1858139,1862908,1867354,1871811,1876203,1880548,1884765,1888919,1893037,1897166,1901092,1905008,1908823,1912634,1916419,1920071,1923715,
31880,0,20,324,1851,6348,15062,28565,46622,69129,95756,125180,156957,190759,225698,261382,297839,334414,370499,406649,442517,477849,512778,547037,580361,613048,645121,676499,706967,736730,765732,793734,821122,847866,873791,898905,923304,947357,970811,993522,1015469,1037006,1057894,1078061,1097690,1117092,1135842,1153920,1171858,1188840,1205724,1221898,1237826,1253344,1268717,1283729,1298129,1312167,1325852,1339115,1352203,1364921,1377370,1389497,1401474,1413139,1424526,1435646,1446462,1457255,1467782,1478024,1487968,1497709,1507067,1516562,1525728,1534766,1543475,1552140,1560803,1568989,1577222,1585142,1592817,1600425,1607918,1615243,1622386,1629493,1636276,1643293,1650004,1656598,1663118,1669464,1675830,1682034,1688001,1693902,1699721,1705396,1710902,1716378,1721629,1726828,1731995,1737161,1742224,1747104,1752042,1756877,1761623,1766203,1770744,1775178,1779507,1783655,1787993,1792177,
31890,0,2,26,224,1031,3248,7315,13981,23415,35799,50937,68545,87746,109617,132954,157453,183069,209240,236511,263984,291658,319445,347415,375462,403145,430646,457704,484496,511283,537516,563024,588171,612938,637258,660999,684591,707545,729956,751786,773340,794475,815303,835629,855414,874878,894121,912894,931188,948883,966438,983417,1000067,1016458,1032508,1047902,1063277,1078332,1092964,1107204,1121228,1134832,1148371,1161443,1174469,1186944,1199485,1211757,1223654,1235433,1247114,1258495,1269225,1280093,1290820,1301239,1311482,1321481,1331257,1341023,1350565,1359658,1368706,1377590,1386285,1394913,1403425,1411776,1420062,1427961,1435847,1443593,1451263,1458708,1466098,1473371,1480444,1487381,1494255,1501032,1507683,1514207,1520854,1527034,1533398,1539635,1545617,1551540,1557379,1563143,1568891,1574452,1579977,1585287,1590710,1595903,1601070,1606129,1611240,1616117,
31900,0,0,1,14,74,310,961,2246,4542,8137,13082,19450,27334,36968,47973,60158,73729,88678,104565,121261,138706,156927,175557,194631,214100,233841,253877,273916,294425,314651,334994,355436,375606,395625,415842,435888,455514,475046,494398,513579,532538,551147,569670,587896,605617,623266,640644,657736,674814,691319,707466,723723,739667,755263,770643,785996,801070,815885,830199,844282,858276,871933,885307,898540,911385,924011,936457,948949,961132,973166,985000,996621,1008234,1019377,1030388,1041066,1051643,1062238,1072528,1082701,1092826,1102655,1112209,1121710,1131092,1140337,1149509,1158462,1167360,1176114,1184641,1193002,1201246,1209307,1217355,1225157,1232891,1240589,1248185,1255724,1262885,1270133,1277277,1284260,1291181,1297937,1304736,1311281,1317783,1324190,1330664,1336884,1343106,1349141,1355133,1361070,1366848,1372591,1378228,
31910,0,0,0,0,0,4,27,111,356,826,1628,2878,4705,7061,10141,13863,18299,23520,29506,36240,43672,51749,60587,69938,80165,90823,101687,113264,125257,137672,150083,163150,176009,189323,202602,216117,229686,243402,257450,271268,285205,299332,313341,327277,341179,355173,368919,382731,396440,410098,423646,437134,450718,464057,477336,490312,503256,516075,528857,541558,554029,566348,578893,590811,602730,614414,626102,637642,648951,660307,671407,682346,693116,703919,714431,724994,735272,745511,755516,765619,775479,785150,794749,804258,813699,823110,832343,841322,850164,858975,867666,876348,884729,893063,901434,909582,917801,925616,933420,941189,948803,956473,963828,971284,978621,985782,992767,999678,1006630,1013566,1020184,1026707,1033329,1039788,1046242,1052602,1058710,1064838,1071001,
31920,0,0,0,0,0,0,5,11,40,110,282,528,944,1571,2520,3813,5417,7391,9912,12809,16248,20045,24351,29180,34493,40227,46305,52902,59858,67288,75065,83184,91597,100135,108974,118061,127469,137036,146791,156818,166928,177234,187438,197831,208332,219014,229582,240271,250905,261653,272332,283051,293902,304629,315416,326307,337052,347864,358576,369178,379861,390338,400682,410932,421413,431541,441503,451522,461663,471697,481565,491292,500929,510792,520405,529783,539316,548682,557920,566886,576002,585042,593942,602784,611471,620257,628764,637144,645451,653705,661841,669869,677882,685883,693787,701542,709256,716799,724425,731596,738985,746344,753471,760695,767861,775027,782024,788775,795461,802357,808906,815505,822180,828524,834924,841328,847558,853762,860075,
31930,0,0,0,0,0,0,0,0,1,5,18,48,127,251,439,734,1149,1693,2404,3313,4473,5819,7386,9249,11374,13896,16663,19711,23055,26722,30515,34689,39184,43909,48896,54095,59437,64970,70732,76769,82982,89312,95835,102445,109192,116131,123347,130687,137971,145274,152661,160148,167841,175737,183388,191158,199005,206952,214807,222827,230863,238825,246842,254814,262969,271103,278977,286908,294746,302810,310735,318799,326658,334392,342012,349791,357649,365314,373251,380822,388603,396216,403907,411374,418724,426206,433516,440692,448116,455277,462444,469494,476510,483574,490660,497589,504298,511153,518062,524829,531513,538289,544848,551326,557738,564210,570707,576938,583169,589337,595512,601613,607630,613714,619708,625529,631246,637083,642893,
31940,0,0,0,0,0,0,0,0,1,1,2,4,7,22,45,84,144,241,392,596,863,1196,1595,2112,2714,3433,4302,5342,6539,7833,9298,10955,12724,14715,16822,19079,21583,24110,26911,29846,32928,36155,39493,43077,46758,50597,54589,58658,62878,67331,71786,76350,80850,85408,90239,95277,100147,105142,110231,115369,120662,125967,131226,136753,142176,147677,153165,158793,164184,169873,175510,181041,186757,192369,198198,203885,209561,215424,221015,226670,232282,237951,243680,249454,255193,260820,266487,272295,277879,283556,289302,295009,300689,306233,311875,317606,323099,328562,334037,339468,344965,350477,355988,361379,366673,371992,377201,382610,388033,393137,398200,403312,408371,413458,418619,423669,428752,433822,438824,
31950,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,10,15,33,53,86,139,213,313,435,598,779,1019,1300,1609,1985,2464,2965,3523,4148,4952,5801,6672,7650,8720,9865,11072,12448,13898,15440,17076,18767,20505,22396,24399,26455,28659,30802,33123,35532,37947,40533,43175,45843,48638,51424,54418,57326,60405,63478,66628,69881,73124,76410,79629,83060,86487,89988,93550,97159,100762,104367,108106,111707,115449,119193,123001,126828,130567,134349,138197,142062,145959,149801,153622,157472,161368,165324,169234,173084,176967,180841,184803,188843,192795,196679,200577,204563,208512,212410,216379,220362,224193,228102,231945,235811,239688,243507,247352,251172,254906,258780,262629,266410,
31960,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,3,3,4,9,19,29,40,64,92,123,182,240,332,418,528,688,840,1016,1222,1464,1747,2098,2476,2852,3274,3748,4237,4782,5347,5981,6661,7447,8237,9058,9907,10835,11837,12806,13868,14960,16172,17336,18633,19857,21245,22676,24091,25485,27023,28530,30135,31788,33503,35193,36907,38731,40560,42391,44330,46268,48242,50144,52115,54202,56198,58345,60536,62702,64921,67169,69460,71782,74038,76396,78726,81071,83463,85745,88142,90495,92939,95375,97869,100334,102762,105192,107708,110289,112816,115422,118033,120629,123199,125777,128366,130932,133449,135986,138554,141169,
31970,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,9,17,26,35,41,48,62,89,114,149,190,243,305,381,452,543,658,777,922,1070,1242,1427,1652,1870,2111,2382,2679,2972,3299,3671,4059,4480,4894,5323,5836,6329,6887,7444,8028,8677,9309,9939,10655,11345,12095,12878,13740,14543,15412,16297,17190,18085,19018,19983,21000,21956,23003,24102,25202,26273,27455,28624,29833,31025,32243,33549,34906,36194,37434,38784,40106,41446,42839,44260,45685,47071,48501,49920,51411,52983,54543,56078,57631,59138,60690,62246,63740,65318,66929,68479,70175,71807,
31980,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,6,10,12,17,26,34,43,60,72,91,109,131,151,172,207,251,303,353,399,460,520,596,680,772,875,980,1106,1228,1376,1533,1703,1832,2034,2245,2433,2655,2883,3153,3385,3640,3880,4145,4435,4742,5070,5412,5762,6131,6486,6890,7317,7750,8199,8659,9136,9586,10096,10567,11095,11632,12194,12732,13340,13915,14536,15173,15821,16431,17114,17800,18462,19187,19920,20649,21357,22142,22881,23636,24378,25130,25920,26732,27594,28391,29208,30064,
31990,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,3,5,8,8,10,13,15,21,31,38,48,63,75,89,105,119,139,160,189,212,228,263,291,331,379,414,460,506,562,622,683,741,821,896,984,1059,1149,1242,1341,1426,1544,1653,1775,1905,2051,2211,2367,2505,2658,2809,2981,3175,3350,3550,3723,3925,4158,4369,4595,4822,5076,5291,5538,5813,6110,6359,6631,6916,7212,7526,7863,8178,8495,8845,9222,9552,
32000,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,7,7,7,9,10,10,13,19,22,26,29,32,41,46,52,65,74,84,95,104,115,131,140,149,166,183,193,217,238,256,278,300,321,343,380,411,438,468,517,560,596,651,684,726,762,814,869,927,985,1053,1121,1182,1256,1333,1403,1471,1547,1627,1708,
32016932,121553,317661,513110,685429,832813,958383,1065718,1158198,1238611,1309156,1371647,1427325,1477450,1522335,1563615,1600840,1634788,1666236,1695218,1721675,1746320,1768961,1790337,1810453,1829086,1846500,1863181,1878546,1893208,1907089,1920563,1933116,1945001,1956283,1966968,1977122,1986930,1996390,2005252,2013753,2021953,2029751,2037284,2044441,2051424,2058226,2064613,2070898,2076925,2082716,2088320,2093724,2098826,2103929,2108944,2113729,2118369,2122705,2126954,2131096,2135286,2139080,2142925,2146651,2150198,2153714,2157188,2160501,2163704,2166911,2169930,2172874,2175761,2178573,2181362,2184017,2186826,2189422,2191934,2194323,2196704,2199046,2201309,2203463,2205650,2207782,2209903,2211950,2213998,2215994,2217938,2219900,2221701,2223496,2225176,2227003,2228656,2230295,2231969,2233583,2235120,2236677,2238206,2239722,2241201,2242657,2244038,2245385,2246716,2248045,2249343,2250594,2251889,2253142,2254341,2255614,2256800,2257962,2259152,
3202285,24909,110020,230959,359716,483522,598715,703507,797739,882864,959693,1029659,1093050,1150505,1203310,1251552,1296681,1337691,1376054,1411432,1444619,1475304,1504380,1531790,1557156,1580895,1603256,1624294,1644631,1663584,1681790,1699041,1715431,1731179,1745984,1760126,1773599,1786400,1798710,1810617,1822057,1832948,1843503,1853626,1863316,1872586,1881639,1890395,1898759,1906892,1914629,1922203,1929461,1936508,1943441,1950051,1956413,1962662,1968766,1974492,1980110,1985771,1991297,1996521,2001645,2006727,2011497,2016232,2020688,2025191,2029545,2033755,2037904,2041839,2045755,2049627,2053369,2056985,2060584,2064023,2067351,2070591,2073798,2076941,2080033,2082930,2085857,2088728,2091559,2094376,2097083,2099749,2102308,2104830,2107430,2109769,2112181,2114587,2116880,2119173,2121354,2123519,2125694,2127894,2129898,2131930,2133803,2135832,2137798,2139655,2141505,2143354,2145172,2146978,2148655,2150319,2151993,2153660,2155279,2156880,
320316,6466,44297,116346,207597,305124,402391,495155,582303,663430,738997,808572,873378,932671,987940,1038699,1085998,1130543,1172409,1211156,1247432,1281508,1313509,1343573,1372011,1398796,1424374,1448631,1471293,1493163,1513626,1533334,1552256,1570310,1587354,1603921,1619667,1634656,1649161,1663179,1676647,1689332,1701809,1713578,1724862,1735716,1746381,1756603,1766572,1776199,1785406,1794304,1803036,1811370,1819365,1827191,1834733,1842279,1849569,1856444,1863164,1869925,1876290,1882685,1888858,1894718,1900380,1905963,1911429,1916718,1922001,1927074,1932003,1936846,1941477,1946026,1950507,1954923,1959154,1963352,1967500,1971545,1975388,1979089,1982835,1986519,1990034,1993462,1996872,2000157,2003320,2006533,2009613,2012816,2015833,2018854,2021783,2024649,2027518,2030237,2032951,2035578,2038157,2040711,2043277,2045832,2048288,2050776,2053129,2055393,2057657,2059848,2062037,2064238,2066291,2068350,2070351,2072395,2074356,2076282,
32040,761,10879,40518,88980,149766,218457,289439,360212,429922,496459,560536,621226,678660,733250,784270,832282,877760,920653,961125,999667,1036127,1070684,1103360,1134463,1164025,1192244,1219403,1245081,1269386,1292552,1314837,1336070,1356382,1375932,1394845,1412880,1430406,1447083,1463133,1478666,1493571,1507935,1521982,1535407,1548419,1560859,1573000,1584618,1595831,1606711,1617458,1627632,1637685,1647485,1656853,1666105,1675075,1683795,1691999,1700005,1707904,1715675,1723058,1730400,1737637,1744618,1751309,1757974,1764436,1770736,1776905,1782867,1788790,1794480,1800051,1805371,1810623,1815885,1820973,1825969,1830888,1835710,1840345,1844983,1849384,1853704,1858049,1862276,1866435,1870497,1874373,1878322,1882030,1885771,1889542,1893078,1896664,1900059,1903478,1906920,1910147,1913332,1916533,1919697,1922685,1925677,1928572,1931471,1934278,1937045,1939811,1942430,1944998,1947701,1950206,1952799,1955258,1957693,1960128,
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35500,629,6819,23142,48987,80864,115760,151929,187694,222651,256516,289025,319741,349143,376675,402680,427396,450644,472969,493714,513297,531882,549900,566847,582799,598240,612929,626881,640164,652869,665072,676754,687872,698509,708874,718716,728307,737521,746274,754618,762874,770637,778023,785234,792308,799176,805772,812373,818494,824425,830150,835746,841118,846463,851538,856515,861219,865982,870493,874936,879199,883372,887506,891382,895224,898983,902636,906163,909641,912895,916081,919297,922486,925506,928466,931365,934237,937165,939845,942444,945051,947596,950009,952427,954795,957038,959287,961419,963619,965704,967840,969905,971893,973888,975795,977664,979487,981261,983043,984831,986607,988257,989830,991452,993072,994681,996242,997807,999247,1000636,1002007,1003384,1004789,1006081,1007479,1008784,1010031,1011286,1012516,1013702,
35510,130,2298,10161,24384,44426,68471,94904,122622,150445,178188,205159,231293,256661,281017,304367,326825,348157,368704,387778,406295,423776,440384,456469,471736,486238,500239,513604,526361,538634,550476,561888,572820,583443,593519,603305,612573,621734,630487,639043,647190,654902,662398,669771,676877,683695,690438,696814,703009,709111,715021,720710,726212,731511,736718,741805,746718,751473,756091,760532,764909,769235,773391,777596,781573,785385,789187,792836,796358,799830,803301,806510,809772,812889,815962,818976,821912,824796,827540,830291,833024,835648,838137,840676,843055,845378,847726,850037,852288,854443,856608,858758,860825,862941,864990,866838,868729,870562,872348,874163,875955,877722,879504,881144,882791,884418,885958,887486,888918,890369,891843,893325,894651,896011,897353,898719,900077,901335,902607,903816,
35520,46,1014,5336,14586,28562,46188,66820,89227,112156,135297,158727,181955,204313,226031,247014,267451,286985,305851,323948,341142,357806,373628,388925,403595,417555,431036,444032,456311,468373,479772,490915,501691,511853,521704,531422,540563,549466,558070,566408,574537,582331,589736,596870,603805,610669,617289,623752,629924,635958,641786,647412,652852,658180,663385,668477,673372,678169,682873,687369,691660,695957,700127,704144,708006,711765,715497,719283,722849,726346,729750,733171,736462,739550,742542,745649,748601,751439,754230,757001,759609,762220,764866,767407,769826,772244,774690,777013,779243,781469,783803,785941,788077,790147,792146,794177,796159,798096,799976,801842,803712,805515,807313,809041,810774,812354,813980,815595,817167,818687,820178,821669,823159,824549,825899,827230,828598,830001,831262,832568,
35530,9,403,2386,7535,16408,28535,43334,60103,78245,96989,116200,135476,154620,173752,192319,210159,227505,244439,260825,276407,291672,306516,320697,334446,347650,360125,372414,384144,395493,406593,417238,427584,437410,446862,456077,464927,473529,481939,489958,497665,505230,512601,519814,526582,533203,539675,546010,552056,557872,563675,569192,574498,579765,584897,589942,594721,599507,604114,608620,613026,617320,621407,625439,629479,633331,637012,640599,644289,647822,651248,654537,657735,660852,663992,667105,670081,672953,675796,678654,681429,684107,686735,689305,691741,694107,696549,698862,701182,703449,705704,707876,709948,712026,714066,716043,718074,719983,721859,723690,725490,727271,728977,730698,732457,734118,735780,737357,738960,740608,742127,743648,745118,746571,747983,749324,750692,752086,753378,754633,
35540,0,133,939,3528,8398,15869,25820,37436,50647,64925,80081,95281,110818,126417,141843,156886,171877,186506,200659,214582,228133,241066,253664,266052,277983,289672,301076,312012,322432,332422,342332,352047,361327,370353,379054,387525,395752,403668,411279,418788,426129,433243,440066,446540,452918,459169,465034,470955,476648,482274,487736,493136,498150,503146,507993,512769,517416,521946,526351,530617,534730,538870,542828,546721,550497,554210,557887,561436,564892,568274,571619,574806,577889,581019,584157,587107,590084,593033,595780,598545,601229,603853,606357,608881,611315,613707,616097,618491,620717,622919,625100,627210,629258,631290,633330,635317,637249,639196,641044,642950,644731,646441,648180,649918,651607,653288,654875,656441,657997,659569,661095,662548,663959,665324,666662,668011,669383,670730,672099,
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35560,0,2,47,333,1142,2757,5364,9023,13762,19503,26124,33376,41098,49377,57930,66784,75778,84913,93977,102902,112121,121163,130089,138871,147491,156016,164384,172653,180713,188434,196058,203714,210976,218052,225006,232001,238795,245283,251612,257843,263920,269882,275683,281400,286851,292345,297485,302537,307474,312378,317153,321854,326562,331051,335403,339667,343892,348054,352173,356020,359869,363662,367352,370938,374369,377680,381188,384432,387688,390820,393856,396874,399907,402823,405701,408451,411135,413810,416417,419100,421641,424138,426636,429122,431468,433765,435925,438196,440354,442445,444515,446576,448572,450590,452442,454379,456178,457992,459801,461570,463352,465045,466735,468410,470025,471658,473197,474789,476323,477714,479238,480637,482054,483425,484776,486093,487429,488751,490069,
35570,0,0,3,72,318,885,1932,3709,6111,9216,12867,17297,22188,27493,33224,39174,45661,52180,58910,65749,72624,79561,86506,93518,100307,107289,114062,120716,127318,133799,140236,146499,152543,158628,164800,170737,176495,182113,187616,192981,198286,203567,208751,213886,218821,223618,228270,232816,237198,241648,245976,250176,254444,258496,262587,266525,270372,274125,277761,281391,284937,288402,291784,295117,298404,301610,304703,307751,310719,313683,316557,319409,322174,324932,327753,330361,332895,335410,337966,340387,342760,345119,347361,349635,351842,353995,356084,358185,360312,362281,364284,366157,368120,370039,371936,373772,375566,377333,379035,380781,382504,384185,385852,387510,389114,390729,392213,393746,395198,396584,398034,399383,400801,402097,403420,404682,405973,407175,408488,
35580,0,0,1,8,50,185,512,1070,2013,3286,4977,7091,9565,12496,15707,19289,22915,26974,31247,35696,40340,45063,49829,54624,59453,64362,69346,74206,79187,84043,88894,93699,98479,103278,108118,112773,117304,121972,126435,130773,135217,139651,143873,147993,152138,156198,160220,164070,167809,171574,175300,178857,182515,186152,189627,192927,196262,199533,202786,205831,208930,211946,214964,217999,220799,223662,226453,229227,231843,234377,236985,239536,242064,244422,246808,249164,251451,253760,256016,258199,260445,262593,264690,266802,268899,270919,272913,274851,276756,278673,280514,282316,284097,285859,287620,289289,291066,292659,294207,295814,297315,298861,300318,301738,303255,304685,306094,307430,308836,310180,311468,312853,314156,315414,316655,317927,319142,320339,321489,
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35981102,42439,145536,268977,389028,498008,594211,679251,753937,819412,877362,928846,974816,1016726,1054288,1088340,1119017,1147342,1173161,1196863,1218590,1238843,1257663,1275075,1291439,1306545,1320776,1334014,1346535,1358288,1369291,1379711,1389535,1398853,1407631,1416009,1424051,1431500,1438642,1445467,1452095,1458278,1464086,1469902,1475351,1480554,1485507,1490341,1494902,1499304,1503628,1507739,1511634,1515486,1519079,1522574,1525890,1529224,1532362,1535319,1538239,1541103,1543800,1546460,1548973,1551456,1553780,1556104,1558306,1560525,1562560,1564631,1566676,1568586,1570396,1572258,1573973,1575667,1577293,1578795,1580353,1581896,1583334,1584752,1586090,1587487,1588814,1590138,1591356,1592698,1593893,1595052,1596155,1597276,1598328,1599418,1600466,1601455,1602421,1603389,1604348,1605239,1606132,1607019,1607885,1608753,1609584,1610397,1611163,1611912,1612650,1613399,1614110,1614772,1615490,1616130,1616803,1617452,1618049,1618659,
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360013,4682,31917,83343,147470,216817,285415,350796,412106,468951,521075,568851,612573,653155,690479,724610,756043,785400,813061,838413,862165,884196,904988,924341,942374,959365,975391,990493,1004592,1017836,1030718,1042746,1054283,1065136,1075538,1085376,1094652,1103670,1112103,1120242,1128006,1135381,1142488,1149340,1155855,1162193,1168162,1173932,1179369,1184606,1189746,1194692,1199399,1204099,1208538,1212808,1216848,1220757,1224585,1228458,1232021,1235518,1238879,1242121,1245353,1248415,1251372,1254150,1256918,1259565,1262157,1264662,1267082,1269417,1271725,1273996,1276151,1278241,1280348,1282351,1284253,1286125,1287957,1289758,1291495,1293265,1294916,1296486,1298036,1299637,1301137,1302663,1304070,1305445,1306792,1308109,1309400,1310664,1311863,1313062,1314297,1315462,1316539,1317625,1318698,1319715,1320686,1321638,1322626,1323561,1324500,1325393,1326315,1327219,1328066,1328848,1329616,1330463,1331213,1331995,
36010,788,9285,31667,67028,110242,157438,205695,253145,299171,342795,384235,423037,459617,493839,525831,555469,583157,609221,633742,656727,678507,699056,717986,736013,752973,769221,784583,799117,812845,825818,838251,850129,861464,872161,882548,892365,901642,910608,919179,927479,935306,942959,950185,957135,963747,969950,976256,982156,987904,993361,998736,1003930,1008754,1013468,1017956,1022431,1026753,1030869,1034762,1038618,1042245,1045914,1049354,1052835,1056148,1059379,1062456,1065470,1068384,1071192,1074036,1076726,1079268,1081707,1084156,1086535,1088795,1091011,1093241,1095416,1097522,1099570,1101565,1103511,1105331,1107193,1109049,1110840,1112515,1114159,1115776,1117383,1118959,1120489,1121954,1123472,1124898,1126280,1127574,1128820,1130052,1131269,1132503,1133681,1134843,1135953,1137084,1138200,1139200,1140234,1141191,1142204,1143153,1144156,1145057,1145958,1146865,1147711,1148524,
36020,231,4036,16800,39930,70631,106456,144629,183977,222384,260162,296649,331326,364397,395898,425569,453532,479883,504921,528468,550362,571047,590811,609673,627364,644219,660260,675296,689508,703012,716043,728335,740004,751277,762232,772310,782181,791649,800710,809220,817355,825353,832967,840467,847577,854374,860895,867231,873254,879111,884691,890257,895545,900577,905518,910264,914761,919121,923398,927479,931555,935448,939203,942847,946449,949933,953244,956467,959421,962342,965296,968128,970871,973596,976219,978689,981130,983511,985855,988196,990435,992655,994716,996798,998717,1000684,1002577,1004440,1006223,1008046,1009780,1011420,1013144,1014767,1016310,1017786,1019307,1020739,1022177,1023553,1024916,1026189,1027503,1028782,1030041,1031241,1032416,1033489,1034603,1035684,1036814,1037797,1038897,1039909,1040874,1041809,1042760,1043687,1044570,1045466,
36030,58,1523,7792,20901,40946,66253,94601,124822,155867,187058,217744,247676,276379,304064,330400,355627,379535,402592,424181,444681,464396,483165,500934,517890,533983,549113,563823,577505,590548,603176,615297,626827,638106,648963,659321,668954,678226,687205,695794,704061,712005,719507,726821,733934,740798,747341,753650,759770,765670,771269,776742,782066,787071,792045,796891,801525,805978,810316,814508,818671,822550,826292,830045,833703,837176,840559,843972,847170,850324,853313,856229,859064,861839,864532,867170,869779,872234,874648,877030,879252,881437,883650,885760,887849,889849,891792,893666,895510,897322,899069,900781,902483,904159,905773,907342,908897,910341,911743,913138,914632,915973,917301,918662,919924,921212,922468,923630,924829,925987,927173,928266,929306,930412,931433,932472,933444,934443,935364,936297,
36040,9,446,3027,9465,20839,36617,55881,77240,100132,124086,148285,172299,196046,219345,241777,263391,284554,304687,324218,342869,360858,377830,394080,409612,424888,439139,452934,466326,478851,490900,502595,513711,524443,534614,544378,553893,562921,571516,579950,587936,595717,603301,610394,617266,624020,630589,636637,642678,648411,653952,659397,664668,669794,674683,679465,684042,688502,692890,697080,701149,705246,709153,712942,716540,720106,723508,726972,730326,733427,736508,739518,742356,745197,747958,750621,753178,755699,758200,760585,762945,765188,767483,769592,771682,773709,775738,777734,779701,781621,783429,785201,786941,788607,790237,791908,793489,795028,796591,798080,799513,800941,802343,803695,805060,806361,807589,808823,810019,811195,812392,813524,814572,815686,816745,817757,818746,819669,820696,821644,
36050,1,99,908,3566,8891,17379,28662,42260,57574,74349,91776,109937,128248,146295,164376,182205,199638,216615,233042,249032,264661,279620,293768,307783,321233,334090,346630,358547,370005,381082,391704,402023,411823,421384,430461,439201,447723,456020,463735,471433,478710,485856,492876,499504,505988,512050,518037,523895,529634,535024,540395,545464,550472,555361,559906,564446,568767,572956,577173,581278,585182,588901,592593,596236,599695,603114,606429,609670,612793,615786,618803,621589,624476,627231,629882,632533,635091,637448,639881,642185,644509,646724,648926,651111,653122,655149,657093,658986,660877,662679,664404,666104,667803,669524,671078,672662,674238,675705,677189,678627,679999,681376,682716,684077,685442,686725,687971,689184,690356,691507,692639,693820,694923,696012,697091,698139,699156,700225,701214,
36060,0,30,349,1662,4725,9958,17445,27067,38521,51053,64734,79189,93977,108978,124026,138984,153838,168535,182776,196819,210653,223882,236749,249175,261359,273078,284374,295268,305827,315913,325911,335402,344652,353789,362534,371032,379187,387029,394497,401644,408812,415732,422275,428699,434892,440895,446789,452391,457856,463159,468305,473416,478317,483033,487559,491870,496213,500301,504289,508054,511731,515515,519245,522694,526082,529410,532697,535791,538821,541716,544640,547522,550216,552948,555669,558220,560662,563075,565482,567805,570078,572327,574488,576640,578716,580662,582608,584543,586429,588251,590020,591745,593452,595167,596770,598394,599937,601412,602919,604360,605780,607193,608548,609862,611155,612430,613688,614873,616082,617228,618387,619502,620582,621643,622701,623748,624820,625850,626767,
36070,0,10,128,713,2238,5310,9876,16233,23958,32956,42883,53780,65328,77080,89058,101348,113571,125900,137926,150034,161683,173208,184407,195398,206119,216523,226640,236635,246281,255671,264631,273268,281697,290136,298183,305915,313345,320591,327680,334396,341046,347531,353824,359817,365749,371423,376990,382444,387681,392728,397562,402379,406958,411414,415796,420030,424190,428328,432198,435997,439650,443147,446531,449973,453333,456558,459660,462834,465812,468800,471643,474523,477136,479774,482391,484846,487250,489635,491997,494208,496396,498586,500724,502800,504823,506783,508648,510477,512200,513982,515671,517439,519089,520724,522338,523954,525534,526979,528434,529798,531213,532562,533885,535240,536576,537834,539071,540256,541430,542685,543823,544903,545909,546942,547990,548958,549966,550939,551854,
36080,0,3,35,250,922,2402,4814,8541,13407,19389,26230,33976,42109,50809,60061,69529,79072,88922,98746,108608,118229,128093,137586,146902,155959,164865,173569,182284,190875,199006,206989,214827,222395,229855,237011,244100,250805,257333,263658,269900,275887,281844,287548,293089,298509,303667,308752,313770,318630,323423,327936,332457,336785,340909,345013,348996,352874,356502,360216,363866,367371,370803,374103,377342,380516,383633,386582,389445,392335,395189,397968,400636,403218,405734,408187,410555,412984,415288,417573,419792,421928,424028,426072,428076,430025,431967,433799,435640,437410,439206,440920,442501,444200,445807,447361,448870,450352,451825,453209,454571,455924,457240,458605,459821,461156,462375,463592,464776,465958,467094,468222,469353,470393,471440,472484,473459,474498,475464,476457,
36090,0,0,9,63,293,898,2107,4019,6593,10088,14348,19338,24800,30801,37259,44039,51099,58266,65496,73038,80568,88171,95762,103333,110704,118111,125384,132504,139556,146315,153162,159748,166122,172511,178600,184710,190675,196473,202177,207674,213018,218263,223373,228430,233452,238260,242873,247477,251907,256175,260431,264582,268670,272545,276274,280013,283581,287173,290585,293944,297234,300390,303463,306422,309374,312233,314933,317739,320365,322952,325528,328048,330547,333037,335360,337707,339920,342114,344200,346251,348266,350272,352205,354176,356092,357823,359585,361381,363088,364784,366387,367944,369556,371117,372578,374021,375402,376754,378037,379367,380674,381861,383130,384345,385539,386752,387910,389045,390207,391284,392347,393451,394529,395523,396547,397470,398424,399344,400230,
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36770,517,5637,18835,39586,65590,94625,124189,154116,183321,211376,238310,263938,288181,311114,332785,353100,372392,390607,407756,423817,439143,453719,467475,480558,492968,504692,515849,526544,536875,546701,556206,565092,573749,581685,589529,597196,604437,611312,618041,624444,630691,636556,642203,647602,652947,657926,662922,667548,672154,676550,680980,685193,689176,693016,696854,700484,703961,707338,710574,713755,716924,719911,722790,725713,728451,731103,733746,736274,738662,741044,743492,745796,747960,750162,752386,754396,756399,758285,760246,762015,763849,765651,767331,768966,770596,772195,773733,775268,776743,778253,779704,781122,782454,783787,785086,786391,787700,788955,790104,791215,792291,793385,794433,795500,796550,797586,798529,799440,800400,801270,802179,803075,803955,804803,805619,806449,807240,808038,808816,
36780,205,2826,11376,26096,45858,68669,93151,118421,143515,168347,192274,215180,237368,258463,278750,297654,315737,332913,348998,364149,378837,392680,405893,418541,430607,441826,452740,463338,473227,482706,491786,500500,508857,516763,524562,531983,539189,546000,552575,558895,565041,570865,576452,581865,587103,592238,597117,601750,606267,610640,614965,619129,623187,627033,630833,634543,638074,641482,644791,647990,651044,654092,657067,659925,662695,665419,668049,670584,673099,675499,677911,680251,682501,684628,686748,688775,690825,692801,694703,696545,698427,700152,701876,703606,705279,706899,708450,710031,711506,712954,714336,715771,717079,718406,719749,721030,722256,723488,724673,725854,726986,728117,729272,730340,731397,732386,733379,734359,735288,736267,737143,738083,738907,739798,740660,741453,742280,743084,743853,
36790,70,1299,6118,15704,29524,46608,65846,86331,107289,128301,148893,169006,188678,207530,225761,242842,259509,275207,290317,304676,318315,331181,343573,355638,367069,377938,388377,398495,408064,417372,426240,434732,442971,450735,458143,465369,472262,478815,485113,491369,497380,503131,508597,514052,519234,524134,528900,533741,538217,542591,546845,550900,554907,558804,562514,566129,569542,572992,576318,579532,582623,585644,588628,591446,594202,596931,599527,602037,604496,606924,609240,611558,613812,615930,618146,620138,622124,624030,625969,627769,629547,631366,633091,634848,636516,638127,639688,641227,642742,644272,645711,647145,648555,649884,651183,652407,653648,654884,656185,657340,658523,659661,660743,661772,662851,663896,664902,665844,666850,667817,668746,669660,670619,671482,672333,673201,674040,674828,675682,
36800,18,529,2836,8370,17401,29245,43193,58874,75201,92236,109094,125945,142556,158700,174480,189675,204651,218708,232283,245502,257857,269935,281568,292757,303399,313654,323581,332931,341952,350624,359068,367045,374772,382156,389352,396296,403048,409548,415706,421644,427437,433000,438352,443595,448636,453587,458221,462848,467346,471574,475677,479692,483463,487259,490894,494450,497894,501216,504514,507684,510786,513698,516594,519476,522234,524970,527688,530180,532727,535129,537600,539849,542035,544200,546418,548480,550459,552384,554283,556139,557959,559729,561464,563214,564899,566472,567992,569517,571058,572508,573924,575292,576621,577961,579278,580543,581765,583021,584200,585328,586557,587680,588715,589748,590767,591755,592806,593783,594754,595722,596647,597543,598449,599278,600186,601031,601851,602597,603365,
36810,5,159,1119,3747,8751,15925,25115,35960,47704,60462,73652,87049,100254,113395,126373,139296,151917,163970,175767,187216,198358,209119,219548,229730,239251,248672,257637,266357,274679,282683,290455,297813,305042,312096,318876,325517,331871,337745,343625,349279,354713,359975,365169,370157,374926,379548,383978,388357,392515,396844,400796,404590,408313,411974,415470,418851,422191,425433,428735,431796,434846,437761,440634,443410,446042,448648,451153,453633,456025,458408,460784,462941,465170,467318,469379,471454,473433,475416,477344,479128,480973,482832,484569,486229,487896,489493,490999,492474,493962,495459,496894,498320,499689,501014,502310,503573,504793,506017,507204,508388,509490,510507,511568,512649,513703,514744,515759,516747,517732,518683,519621,520484,521381,522249,523102,523926,524767,525563,526374,
36820,1,30,321,1361,3613,7332,12632,19287,26988,35404,44663,54275,64013,73991,84069,94245,104188,113960,123570,133011,142268,151260,160035,168723,177083,185119,192955,200518,207968,215098,222073,228882,235406,241672,247664,253585,259261,264626,270008,275218,280256,285147,289974,294603,299145,303500,307695,311714,315671,319517,323295,326941,330536,333990,337399,340608,343820,346841,349966,352883,355687,358444,361123,363795,366417,368908,371496,373811,376093,378353,380587,382735,384953,386979,388954,390991,392910,394744,396562,398344,400110,401805,403493,405104,406722,408253,409830,411296,412713,414097,415488,416855,418184,419482,420777,422016,423232,424411,425592,426766,427816,428923,430007,431042,432106,433138,434120,435106,436091,437023,437859,438802,439670,440559,441441,442271,443044,443840,444615,
36830,0,6,71,391,1326,3111,5895,9620,14175,19726,25794,32373,39346,46611,54033,61666,69227,76930,84585,92235,99780,107281,114443,121671,128724,135485,142258,148783,155322,161440,167528,173296,179117,184682,190026,195309,200524,205428,210220,214998,219513,224110,228378,232612,236752,240721,244553,248310,251936,255468,259035,262426,265694,268862,272007,275013,278046,280855,283599,286288,288935,291539,294054,296554,299065,301436,303829,306006,308152,310317,312353,314356,316409,318409,320436,322257,324079,325859,327697,329421,331101,332761,334344,335802,337423,338880,340397,341857,343334,344641,346029,347340,348612,349879,351075,352348,353523,354668,355814,356889,357958,359005,360108,361117,362148,363193,364146,365096,366047,366963,367835,368676,369500,370370,371147,371917,372705,373467,374250,
36840,0,1,9,87,362,980,2105,3740,5999,8862,12310,16194,20430,25003,29960,35030,40463,45867,51458,57034,62683,68334,73884,79390,84870,90254,95590,100888,105881,110898,115818,120661,125336,129873,134341,138834,143102,147279,151244,155265,159155,162949,166561,170225,173871,177493,180954,184284,187448,190587,193654,196662,199622,202559,205327,207973,210668,213290,215838,218394,220883,223276,225636,227865,230113,232324,234494,236505,238500,240491,242368,244248,246048,247846,249577,251341,253041,254720,256385,257974,259543,261089,262618,264052,265455,266846,268229,269555,270937,272216,273476,274692,275882,277087,278229,279357,280414,281517,282615,283643,284668,285696,286659,287606,288544,289472,290376,291288,292187,293079,293925,294755,295652,296395,297151,297909,298687,299421,300182,
36850,0,0,1,7,47,172,479,945,1729,2932,4362,6153,8240,10653,13216,16088,19063,22171,25502,28894,32404,36001,39705,43387,47115,50928,54606,58325,61957,65656,69299,72875,76399,79909,83313,86719,89990,93350,96547,99731,102880,105913,108875,111881,114729,117531,120244,122908,125622,128247,130821,133309,135698,138110,140516,142765,145022,147204,149380,151423,153483,155417,157387,159262,161143,162974,164728,166512,168311,170028,171598,173273,174859,176485,178046,179498,180958,182364,183792,185170,186567,187956,189262,190507,191800,193004,194228,195452,196688,197854,198995,200131,201202,202280,203309,204341,205381,206277,207241,208235,209140,210019,210945,211790,212667,213497,214294,215110,215914,216712,217532,218258,218997,219723,220502,221193,221961,222683,223350,
36860,0,0,0,0,5,10,32,127,264,475,781,1241,1856,2570,3478,4493,5579,6859,8302,9773,11392,13107,14929,16802,18748,20687,22743,24828,26923,29071,31241,33363,35415,37504,39626,41777,43798,45849,47933,50017,51983,54051,56087,58034,60085,62049,63947,65793,67737,69535,71298,73061,74824,76549,78286,79873,81544,83201,84809,86421,87980,89470,90929,92376,93814,95320,96710,98124,99529,100841,102124,103426,104775,106058,107225,108401,109580,110782,111912,112995,114044,115123,116159,117174,118162,119132,120171,121110,122058,123015,123945,124863,125723,126611,127519,128360,129174,129990,130784,131532,132296,133075,133870,134631,135381,136099,136754,137441,138106,138735,139382,140017,140664,141307,141911,142509,143089,143668,144238,
3687460,38080,157267,314291,473531,619376,750310,864527,964664,1052048,1128490,1195769,1254871,1307007,1353267,1394974,1432502,1466063,1496693,1524251,1549318,1572292,1593452,1612660,1630457,1646801,1661962,1675771,1688935,1700745,1711818,1722298,1732074,1741335,1749895,1757895,1765515,1772618,1779250,1785650,1791530,1797197,1802566,1807491,1812148,1816708,1820953,1824921,1828764,1832451,1835941,1839326,1842478,1845547,1848642,1851443,1854142,1856716,1859189,1861492,1863752,1865893,1868018,1869984,1871904,1873732,1875436,1877094,1878702,1880296,1881837,1883308,1884704,1886058,1887374,1888629,1889856,1891016,1892146,1893320,1894377,1895410,1896381,1897339,1898285,1899175,1900078,1900926,1901728,1902486,1903236,1903970,1904708,1905404,1906111,1906720,1907337,1907944,1908566,1909156,1909748,1910351,1910877,1911391,1911916,1912407,1912880,1913356,1913844,1914286,1914699,1915115,1915529,1915920,1916272,1916630,1916970,1917311,1917669,1918021,
36885,3255,30243,90157,171742,263663,356517,446961,531130,609270,680700,746363,806564,860704,910563,955996,997007,1035354,1070207,1102316,1131637,1159111,1184471,1207669,1229252,1249566,1268350,1285885,1302147,1317397,1331771,1345053,1357736,1369618,1380821,1391291,1401298,1410588,1419267,1427747,1435735,1443084,1450301,1457235,1463690,1469758,1475516,1481218,1486482,1491630,1496381,1500999,1505308,1509448,1513423,1517254,1521012,1524593,1527874,1531153,1534263,1537285,1540111,1542813,1545470,1548027,1550520,1552934,1555165,1557367,1559521,1561632,1563455,1565343,1567164,1568932,1570598,1572233,1573798,1575389,1576876,1578329,1579719,1581040,1582295,1583555,1584821,1586002,1587184,1588321,1589380,1590436,1591374,1592331,1593247,1594193,1595106,1595945,1596779,1597524,1598390,1599227,1599984,1600750,1601529,1602222,1602925,1603568,1604208,1604820,1605410,1606054,1606646,1607221,1607763,1608269,1608774,1609264,1609770,1610235,
36890,482,8329,33814,77958,134713,199229,265892,332369,397029,458361,515933,569813,619850,666371,709631,749843,787118,821750,853925,883851,911360,937249,961660,984279,1005272,1024805,1043144,1060383,1076749,1091923,1106409,1119909,1132617,1144797,1156310,1167140,1177224,1186947,1196322,1205089,1213337,1221361,1229065,1236164,1242880,1249477,1255845,1261847,1267437,1273006,1278164,1283091,1287851,1292474,1296871,1301030,1304984,1308740,1312354,1315868,1319190,1322498,1325700,1328682,1331616,1334461,1337210,1339823,1342442,1344973,1347334,1349662,1351849,1353974,1356060,1358110,1360096,1361921,1363681,1365407,1367145,1368814,1370352,1371833,1373321,1374668,1375974,1377334,1378674,1379862,1381059,1382307,1383439,1384485,1385597,1386660,1387651,1388631,1389609,1390528,1391438,1392331,1393187,1393989,1394833,1395670,1396445,1397187,1397889,1398615,1399358,1400040,1400680,1401292,1401927,1402558,1403146,1403720,1404278,
36900,48,1572,9333,27262,55361,91594,132926,177482,222663,268232,313027,356354,397682,437296,474500,510048,543315,574780,604255,632254,658379,683064,706231,728165,748511,768076,786647,803849,820330,836010,850674,864417,877600,890108,901951,913261,923997,934203,943840,953227,962076,970428,978576,986227,993441,1000456,1007137,1013520,1019586,1025392,1030980,1036373,1041550,1046573,1051313,1055912,1060355,1064495,1068518,1072448,1076303,1079876,1083326,1086669,1089778,1092826,1095767,1098737,1101552,1104345,1106971,1109450,1111818,1114244,1116466,1118656,1120868,1122973,1124969,1126898,1128780,1130595,1132332,1134044,1135709,1137325,1138919,1140409,1141850,1143299,1144674,1146003,1147290,1148572,1149807,1151006,1152166,1153275,1154352,1155433,1156452,1157449,1158384,1159299,1160237,1161139,1162027,1162915,1163785,1164546,1165335,1166189,1166915,1167672,1168331,1169051,1169777,1170428,1171106,
36910,0,150,1671,6672,16542,31921,52269,76358,103128,131837,161359,190961,220563,249672,277856,305445,331957,357542,381983,405462,427785,449294,469877,489473,507814,525171,541848,557579,572631,587257,601024,614077,626606,638754,650282,661187,671689,681638,690988,700039,708740,717032,725027,732739,740151,747128,753806,760284,766407,772396,778070,783560,788837,793902,798704,803421,808110,812454,816581,820586,824605,828342,831967,835366,838772,842130,845305,848417,851322,854086,856848,859518,862045,864586,867107,869421,871643,873862,875979,878123,880060,882000,883861,885726,887574,889338,890996,892568,894147,895736,897240,898665,900028,901407,902816,904067,905303,906511,907711,908790,909912,911029,912145,913207,914235,915236,916185,917087,917985,918867,919692,920493,921354,922203,922955,923758,924473,925177,925874,
36920,0,44,578,2806,8030,16902,29601,45589,64233,85057,107206,129965,153235,176709,199936,222819,244881,266677,288009,308739,328279,347409,365709,383443,400461,416438,431718,446501,460590,474001,486983,499295,511069,522220,532924,543232,553181,562618,571836,580491,588884,597058,604630,611946,618909,625819,632368,638556,644575,650373,655980,661384,666499,671618,676413,681127,685667,689959,694125,698148,702051,705775,709342,712879,716275,719577,722799,725795,728749,731677,734516,737153,739742,742336,744756,747159,749528,751666,753843,755921,757889,759837,761724,763579,765356,767158,768902,770571,772128,773681,775217,776703,778105,779483,780816,782192,783442,784698,785945,787076,788261,789435,790468,791538,792627,793651,794602,795584,796480,797390,798238,799080,799923,800770,801545,802318,803081,803859,804588,
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3744236,16553,69526,143114,220424,294938,363746,426057,481651,531542,576230,616603,653023,685496,715793,743323,768299,791141,812196,831644,849637,866230,881804,896399,909850,922659,934535,945697,956100,965721,974968,983647,991881,999653,1007152,1014207,1020793,1027274,1033255,1038933,1044266,1049431,1054359,1059083,1063617,1068048,1072102,1076059,1079767,1083401,1086857,1090275,1093407,1096539,1099512,1102332,1105251,1107848,1110324,1112845,1115198,1117432,1119620,1121776,1123847,1125772,1127592,1129418,1131212,1132967,1134582,1136206,1137823,1139297,1140785,1142243,1143610,1145007,1146272,1147567,1148699,1149875,1151017,1152159,1153210,1154240,1155269,1156273,1157172,1158143,1159082,1159961,1160830,1161663,1162446,1163268,1163976,1164700,1165465,1166119,1166812,1167512,1168127,1168771,1169372,1169980,1170583,1171181,1171727,1172265,1172822,1173340,1173868,1174361,1174877,1175329,1175773,1176211,1176668,1177066,
374530,4901,29527,72816,125605,181136,235634,286957,335128,378902,418904,456123,490432,521391,549769,576046,600391,622718,643289,662689,680569,697225,712902,727343,741064,754005,766210,777389,787999,798037,807607,816605,825215,833238,840978,848257,855043,861724,868099,873925,879471,885043,890373,895369,900125,904727,908981,913230,917226,921038,924845,928365,931727,935014,938215,941193,944184,946912,949621,952223,954732,957193,959553,961783,963940,966054,968086,970108,972021,973855,975670,977348,978996,980625,982157,983677,985190,986639,987994,989424,990729,991995,993244,994429,995593,996719,997846,998897,999954,1000957,1001903,1002893,1003886,1004834,1005709,1006540,1007358,1008171,1008927,1009695,1010497,1011174,1011877,1012565,1013245,1013922,1014488,1015122,1015717,1016313,1016880,1017427,1017998,1018494,1019027,1019534,1020030,1020537,1021027,1021489,
37464,2188,16896,46848,87146,132387,178033,222882,264871,304526,341393,376055,407877,437222,464167,489414,512969,534474,554938,573575,591112,607445,622873,637157,650731,663499,675660,686900,697430,707440,717097,726159,734754,742974,750656,757959,764920,771687,778113,784269,790033,795496,800793,805823,810661,815316,819695,823859,828064,831943,835768,839380,842932,846237,849467,852502,855526,858407,861201,863800,866411,868941,871334,873665,875840,878074,880178,882161,884173,886097,888003,889779,891511,893083,894714,896270,897843,899329,900769,902181,903524,904868,906127,907372,908571,909687,910802,911901,912959,914012,915009,915998,916960,917884,918781,919726,920585,921402,922196,923039,923835,924590,925311,926022,926754,927415,928013,928659,929291,929926,930559,931149,931740,932315,932846,933328,933840,934336,934821,935306,
37472,855,8502,27563,56051,90471,127018,164039,200615,235402,268244,299384,328686,355779,381220,404978,427160,447670,466773,484985,501898,517789,532560,546645,559844,572308,583939,595255,605820,615732,625187,634167,642524,650737,658339,665626,672648,679249,685543,691694,697562,703037,708387,713533,718377,723021,727521,731791,735976,739968,743780,747566,751077,754523,757815,760873,763852,766725,769616,772388,775054,777559,779975,782344,784677,786876,789044,791141,793114,795075,796952,798729,800531,802276,803907,805464,807073,808652,810115,811525,812832,814193,815579,816837,818054,819273,820438,821535,822661,823711,824734,825781,826755,827671,828615,829529,830379,831281,832159,832934,833756,834562,835355,836117,836809,837496,838201,838874,839516,840121,840729,841329,841904,842423,842977,843563,844095,844632,845142,845651,
37480,297,3803,14439,32884,56937,84136,113227,142428,171505,199730,226789,252232,276509,299338,320800,341169,360461,378463,395283,411171,426137,440232,453812,466413,478586,489962,500818,510995,520588,529769,538535,546973,555003,562697,569939,576821,583391,589649,595700,601579,606996,612308,617378,622093,626690,631144,635491,639587,643559,647386,651126,654752,658140,661362,664568,667632,670610,673408,676311,678961,681520,683991,686405,688723,691037,693161,695315,697334,699285,701210,703055,704880,706588,708237,709937,711493,713070,714534,715902,717339,718770,720081,721301,722630,723818,724994,726168,727321,728387,729439,730510,731520,732488,733461,734364,735267,736119,736971,737825,738633,739436,740220,740972,741717,742412,743162,743809,744476,745068,745665,746289,746878,747473,748029,748588,749161,749670,750172,750676,
37490,58,1312,6522,16774,31656,50240,71184,93172,115631,138237,160298,181659,202234,221892,240855,258871,275961,291977,307357,321689,335472,348683,361144,372908,384088,394941,405040,414679,423807,432566,440876,448850,456458,463622,470597,477294,483688,489768,495807,501450,506796,512029,516868,521668,526121,530517,534845,538885,542821,546661,550283,553840,557282,560528,563755,566749,569752,572743,575436,578156,580673,583098,585558,587861,590174,592299,594459,596542,598474,600434,602225,603998,605729,607429,609047,610623,612211,613742,615274,616658,617950,619332,620653,621897,623094,624249,625427,626593,627668,628746,629864,630902,631869,632846,633797,634729,635598,636456,637318,638175,639001,639711,640470,641188,641946,642663,643318,644008,644661,645271,645915,646509,647094,647696,648274,648842,649368,649897,650426,
37500,14,634,3664,10349,20847,34725,50977,68530,87212,106265,125156,143726,161710,179089,196060,212043,227457,242075,256423,270011,282722,295078,306838,318047,328700,338747,348435,357737,366581,374861,382829,390564,397888,404982,411707,418195,424363,430217,435844,441281,446444,451494,456507,461167,465470,469785,473854,477719,481545,485198,488762,492185,495565,498789,501881,504780,507660,510474,513265,515846,518417,520800,523166,525497,527707,529859,531929,534019,535996,537912,539819,541579,543300,545011,546640,548256,549816,551351,552836,554239,555695,556913,558263,559550,560752,561939,563054,564157,565286,566409,567505,568574,569563,570514,571450,572348,573247,574121,574988,575867,576653,577429,578152,578896,579615,580331,581006,581695,582359,583003,583576,584196,584775,585373,585960,586523,587064,587582,588093,
37510,7,277,1727,5636,12586,22277,34375,47834,62524,78038,93501,109153,124504,139455,154141,168182,182025,195486,208278,220353,232005,243126,253778,264140,273896,283382,292333,301009,309328,317351,325042,332230,339183,345800,352258,358491,364399,370134,375595,380814,385823,390641,395292,399826,404169,408309,412349,416217,419971,423585,427159,430536,433742,436871,439867,442686,445628,448445,451102,453637,456143,458651,461047,463299,465439,467535,469586,471621,473537,475405,477140,478846,480541,482220,483875,485471,486913,488435,489915,491376,492755,494069,495370,496627,497846,499050,500195,501267,502362,503334,504439,505384,506363,507284,508264,509191,510097,510897,511731,512509,513286,514067,514836,515566,516285,517033,517673,518400,519081,519733,520364,520979,521590,522144,522720,523263,523807,524381,524919,
37520,1,87,772,2826,6861,13121,21262,30918,41775,53583,65799,78265,90798,103261,115729,127872,139491,151014,162060,172553,183077,193069,202852,212223,221031,229815,238039,246086,253636,261013,267983,274660,281275,287553,293497,299306,304913,310250,315210,320112,324755,329368,333797,338063,342304,346189,349943,353734,357369,360860,364219,367432,370432,373430,376316,379120,381810,384452,387062,389610,391965,394306,396583,398825,400962,403023,404969,406840,408720,410620,412449,414147,415776,417394,419017,420569,422077,423548,424954,426339,427761,429000,430282,431503,432744,433972,435144,436271,437332,438389,439448,440441,441462,442452,443316,444205,445087,445998,446823,447613,448395,449164,449967,450686,451339,452026,452692,453381,454023,454691,455343,455955,456517,457185,457732,458273,458783,459306,459765,
37530,1,27,268,1165,3220,6785,11825,18225,25805,34053,43134,52662,62424,72278,82177,91922,101615,111090,120492,129730,138621,147277,155679,163935,171751,179385,186687,193742,200530,207321,213706,219853,225712,231405,236739,241924,246943,251968,256642,261208,265746,269995,274044,278032,281857,285595,289136,292617,296074,299344,302555,305502,308379,311251,314079,316639,319181,321747,324179,326516,328875,331111,333207,335322,337375,339377,341288,343164,345014,346731,348375,350089,351658,353253,354741,356229,357683,359113,360462,361825,363119,364436,365657,366824,367976,369147,370250,371242,372269,373310,374331,375313,376267,377139,378032,378896,379744,380576,381391,382185,382928,383677,384427,385140,385830,386498,387156,387811,388446,389035,389657,390259,390862,391414,391990,392523,393075,393579,394055,
37540,0,8,84,398,1319,3001,5684,9373,13875,19199,25146,31619,38545,45751,53169,60554,68175,75462,82993,90364,97487,104541,111460,118140,124583,131063,137253,143339,149233,154848,160361,165672,170909,175860,180710,185468,189945,194225,198532,202526,206436,210318,214118,217699,221149,224519,227730,230943,234031,237065,239979,242756,245420,248067,250561,253055,255429,257765,259972,262141,264339,266374,268389,270299,272240,274145,275943,277721,279358,281011,282639,284232,285765,287201,288614,290003,291447,292813,294118,295403,296649,297863,299117,300250,301384,302444,303542,304554,305556,306553,307548,308443,309333,310170,311030,311837,312618,313424,314214,314943,315676,316374,317066,317811,318509,319172,319816,320435,321005,321598,322161,322700,323243,323788,324318,324835,325297,325781,326283,
37550,0,0,19,118,459,1254,2538,4565,7204,10418,14285,18641,23237,28216,33572,38871,44452,50226,55989,61666,67355,73050,78526,83982,89288,94634,99816,104877,109712,114632,119225,123829,128329,132722,136980,141043,145027,148874,152592,156241,159771,163151,166456,169641,172816,175881,178842,181680,184516,187135,189833,192421,194908,197362,199728,201954,204161,206304,208369,210338,212299,214169,216002,217796,219575,221314,222957,224659,226221,227775,229283,230681,232140,233559,234857,236202,237471,238687,239926,241078,242205,243306,244426,245507,246547,247588,248632,249558,250467,251405,252288,253134,253992,254793,255629,256484,257235,257986,258752,259511,260187,260831,261487,262112,262799,263405,264013,264644,265232,265812,266389,266929,267469,267983,268485,269003,269508,269977,270446,
37560,0,0,1,31,120,380,898,1805,3043,4660,6843,9335,12159,15388,18688,22226,25980,29925,34028,38100,42229,46372,50441,54560,58619,62664,66679,70557,74429,78228,81971,85687,89216,92813,96244,99600,102830,106118,109275,112317,115310,118144,121056,123830,126495,129161,131657,134168,136644,138936,141192,143401,145604,147663,149721,151728,153636,155517,157319,159179,160922,162608,164274,165844,167399,168929,170454,171865,173323,174658,175985,177276,178621,179856,181108,182312,183431,184492,185606,186728,187775,188769,189764,190740,191700,192662,193522,194431,195278,196103,196981,197821,198621,199465,200225,200937,201731,202414,203114,203792,204426,205030,205657,206269,206874,207453,208030,208576,209099,209631,210209,210698,211179,211683,212148,212631,213106,213574,214017,
37570,0,0,0,1,15,79,213,470,907,1588,2511,3605,4955,6486,8241,10252,12343,14558,16988,19469,21996,24608,27279,30054,32755,35495,38209,40818,43511,46100,48795,51398,54085,56691,59280,61828,64398,66876,69266,71572,73922,76221,78354,80564,82674,84735,86788,88796,90721,92559,94423,96310,98043,99782,101451,103125,104724,106299,107842,109388,110810,112177,113621,114992,116258,117579,118878,120188,121416,122509,123685,124843,125967,127007,128055,129052,130038,131000,131941,132859,133812,134707,135588,136388,137234,138075,138901,139685,140480,141232,141918,142641,143320,144008,144701,145344,146016,146655,147217,147793,148363,148935,149515,150035,150574,151086,151610,152093,152609,153107,153570,154017,154473,154912,155347,155747,156160,156588,156993,
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37801830,42796,126592,219238,306852,384723,453008,512701,564380,610784,651699,687999,720547,749576,775914,799792,821377,841455,859774,876791,892421,906762,920207,932665,944341,955187,965588,975280,984411,992909,1000979,1008358,1015348,1022193,1028446,1034508,1040332,1045871,1051099,1056155,1060879,1065452,1069716,1073834,1077809,1081631,1085284,1088694,1092007,1095174,1098266,1101188,1104028,1106722,1109316,1111828,1114274,1116619,1118912,1121068,1123096,1125101,1127030,1128898,1130698,1132406,1134150,1135820,1137401,1138881,1140345,1141769,1143157,1144492,1145890,1147199,1148393,1149615,1150760,1151863,1152933,1153978,1154984,1155963,1156921,1157859,1158745,1159648,1160496,1161281,1162084,1162883,1163631,1164373,1165091,1165799,1166489,1167157,1167743,1168342,1168997,1169566,1170127,1170775,1171331,1171843,1172336,1172818,1173312,1173788,1174245,1174688,1175170,1175627,1176061,1176485,1176878,1177280,1177682,1178075,
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3782117,9722,44027,94600,150819,206827,259588,308433,352822,393167,429980,463447,493783,521564,546883,570348,591674,611510,629993,646947,662793,677720,691529,704374,716460,727700,738330,748115,757626,766503,775176,783089,790600,797815,804609,811091,817185,823061,828698,834102,839153,843927,848568,852918,857218,861250,865102,868754,872449,875928,879362,882594,885660,888556,891375,894116,896805,899364,901750,904169,906500,908644,910715,912787,914826,916696,918526,920318,922084,923833,925436,927000,928524,930055,931464,932835,934165,935487,936765,938040,939263,940467,941561,942660,943692,944751,945767,946745,947677,948583,949488,950380,951216,952043,952802,953642,954365,955125,955884,956604,957291,957972,958672,959314,959882,960490,961125,961666,962216,962739,963268,963813,964319,964776,965298,965739,966182,966623,967043,967450,
378333,4895,26492,63628,107930,154626,200340,243324,283264,320483,354666,385982,414833,441101,465554,488149,509367,528663,546550,563488,579104,593581,607227,619877,631938,643031,653598,663656,673112,681926,690484,698498,706078,713278,720150,726643,732789,738622,744142,749389,754643,759626,764270,768750,773120,777244,781256,785018,788743,792314,795709,798981,802076,805179,808090,810906,813538,816090,818577,820950,823322,825556,827753,829876,831928,833876,835855,837755,839552,841248,842887,844493,846087,847610,849067,850504,851939,853217,854564,855883,857077,858267,859435,860602,861688,862731,863795,864824,865798,866770,867648,868578,869517,870426,871263,872121,872925,873679,874429,875124,875841,876572,877263,877901,878505,879097,879664,880224,880795,881312,881859,882380,882937,883447,883952,884459,884948,885379,885821,886311,
37846,1993,14198,38751,71417,107791,144936,181477,216412,249326,280145,308704,335339,359908,382994,404230,424044,442614,459856,475994,491092,505239,518455,530902,542770,553905,564444,574364,583602,592498,600866,608911,616512,623618,630448,637078,643333,649275,654882,660373,665610,670621,675490,679989,684365,688449,692490,696347,699985,703614,707046,710278,713453,716475,719403,722199,724958,727649,730187,732628,735044,737270,739416,741453,743545,745541,747527,749398,751229,753029,754717,756373,758036,759595,761078,762621,764076,765475,766756,768057,769371,770547,771748,772868,773992,775062,776180,777145,778191,779170,780170,781155,782115,782945,783855,784707,785519,786298,787045,787801,788482,789241,789919,790621,791280,791873,792501,793121,793705,794267,794846,795362,795919,796463,796975,797464,797931,798396,798880,799310,
37851,615,6284,20868,42299,68267,96692,125751,154302,181803,208070,233126,256419,278508,299350,318954,337139,354326,370251,385519,399593,412941,425605,437750,449088,459763,469878,479428,488526,496956,505051,512973,520285,527489,534348,540767,546886,552734,558312,563677,568791,573680,578502,583073,587486,591628,595663,599564,603314,606833,610250,613576,616796,619981,622883,625704,628489,631135,633875,636353,638711,641060,643320,645484,647538,649591,651541,653431,655316,657057,658855,660544,662191,663776,665317,666851,668230,669657,671090,672432,673663,674887,676122,677321,678472,679606,680723,681788,682823,683838,684750,685708,686617,687523,688447,689283,690086,690945,691737,692483,693272,694006,694702,695348,696040,696667,697315,697980,698584,699224,699777,700349,700878,701384,701880,702385,702900,703408,703903,704352,
37860,288,3488,12937,28568,48809,71843,95710,120362,144496,167773,190160,211488,231781,251016,269138,286121,302340,317508,332130,345720,358533,370711,382256,393007,403432,413169,422324,431100,439602,447568,455217,462466,469302,475897,482350,488434,494101,499635,504882,509967,514885,519635,524116,528359,532455,536436,540337,544046,547503,550915,554248,557435,560472,563432,566296,568963,571627,574287,576790,579291,581630,583807,586030,588154,590147,592093,593987,595897,597661,599412,601198,602853,604424,605986,607491,608934,610342,611658,613008,614361,615589,616810,618068,619242,620344,621393,622523,623520,624511,625510,626447,627380,628270,629169,629997,630806,631607,632457,633203,633961,634666,635385,636070,636743,637394,638025,638701,639297,639883,640474,641044,641613,642169,642717,643201,643699,644168,644627,645076,
37870,106,1699,7382,18032,32837,50432,69952,89918,110154,130471,150106,169022,187060,204370,220667,236151,251100,265299,278800,291570,303500,314840,325596,335999,345804,355153,364237,372781,380937,388634,396036,403108,409863,416352,422410,428437,433981,439389,444413,449513,454234,458814,463222,467398,471404,475288,479109,482700,486254,489615,492834,495876,498960,501811,504589,507291,509924,512532,514988,517388,519633,521910,524108,526187,528184,530037,531967,533876,535727,537519,539253,540874,542451,543967,545464,546938,548386,549704,551106,552433,553724,554970,556160,557274,558424,559486,560610,561584,562579,563585,564507,565387,566250,567170,568028,568860,569709,570480,571282,572023,572770,573469,574157,574812,575521,576177,576806,577426,577990,578556,579115,579706,580295,580803,581290,581808,582339,582847,583309,
37880,20,772,3882,10381,20315,32835,47412,63001,79401,95835,112263,128416,143916,159090,173526,187325,200733,213293,225615,237324,248275,258685,268839,278481,287646,296393,304844,312910,320614,327814,334794,341512,348026,353930,359771,365478,370854,376068,381071,385769,390396,395005,399251,403363,407227,410992,414666,418184,421658,424963,428161,431324,434283,437244,439965,442641,445233,447728,450243,452523,454768,456903,459015,461032,462999,464966,466838,468617,470423,472156,473843,475519,477083,478605,480104,481533,482926,484283,485683,486918,488165,489334,490501,491684,492783,493880,494912,495944,496921,497905,498905,499832,500743,501619,502446,503307,504106,504906,505668,506419,507173,507829,508519,509155,509778,510466,511098,511731,512331,512921,513512,514034,514609,515132,515660,516150,516651,517118,517625,
37890,6,263,1583,5088,10960,19186,29203,40458,52968,65820,78956,91854,104781,117288,129516,141495,153049,164077,174801,185064,195069,204643,213725,222387,230716,238698,246341,253642,260670,267395,273798,280011,286079,291889,297359,302729,307850,312855,317557,322130,326470,330700,334760,338804,342546,346233,349798,353110,356514,359637,362865,365739,368524,371255,373990,376586,379066,381479,383751,386069,388241,390382,392559,394461,396386,398314,400150,401917,403580,405228,406815,408388,409970,411448,412913,414321,415746,417110,418307,419597,420875,422082,423216,424375,425460,426471,427557,428558,429584,430547,431482,432389,433288,434142,434991,435782,436598,437394,438108,438836,439545,440210,440926,441596,442274,442911,443463,444047,444676,445236,445820,446352,446873,447407,447948,448435,448950,449404,449858,
37900,3,56,542,2109,5145,9880,16016,23411,31800,40975,50548,60169,70167,80109,89857,99372,108838,117958,126749,135359,144049,152297,160206,167752,175159,182199,189146,195908,202380,208608,214408,220091,225406,230625,235667,240575,245138,249530,253919,258015,262076,266006,269787,273443,277019,280327,283618,286799,289863,292863,295750,298527,301203,303851,306373,308749,311114,313383,315565,317703,319819,321832,323761,325669,327535,329264,331016,332700,334340,335964,337468,338979,340426,341915,343321,344689,346060,347352,348571,349829,351008,352161,353315,354442,355472,356540,357648,358627,359587,360518,361417,362290,363168,364035,364800,365577,366333,367141,367893,368631,369342,370019,370676,371327,371954,372625,373232,373789,374353,374952,375527,376023,376566,377068,377605,378111,378565,379015,379490,
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38100,0,6,95,460,1381,3040,5558,8805,12728,17372,22508,28010,33885,39875,45943,52110,58321,64479,70604,76573,82454,88267,93933,99475,104914,110371,115365,120248,125167,129879,134445,138761,142979,147045,151001,154787,158623,162229,165685,169052,172377,175625,178625,181543,184454,187335,190117,192815,195396,197819,200168,202612,204866,207145,209295,211414,213390,215298,217232,219079,220846,222601,224310,225978,227672,229301,230901,232409,233842,235232,236597,237947,239239,240482,241693,242940,244081,245201,246302,247361,248452,249439,250421,251385,252349,253287,254170,255083,255918,256772,257559,258312,259077,259765,260542,261270,261970,262696,263359,264002,264651,265291,265887,266467,267080,267629,268121,268675,269208,269781,270300,270771,271214,271682,272129,272590,273056,273524,273947,
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38120,0,0,0,4,26,105,263,554,1015,1657,2500,3622,4919,6336,7947,9688,11622,13657,15769,18046,20342,22613,24907,27273,29703,32107,34461,36789,39218,41515,43760,46116,48319,50570,52843,54913,57076,59147,61159,63169,65128,67063,68968,70841,72648,74424,76066,77767,79405,81042,82640,84167,85759,87231,88713,90150,91513,92841,94116,95385,96592,97763,98935,100142,101287,102454,103567,104642,105766,106814,107801,108775,109670,110569,111477,112333,113198,114001,114841,115660,116431,117200,117940,118676,119366,120089,120801,121485,122153,122812,123437,124054,124675,125214,125780,126370,126913,127429,127970,128460,128948,129368,129817,130300,130772,131245,131683,132105,132495,132896,133302,133701,134114,134529,134890,135254,135626,135955,136308,
3813423,33667,142790,288612,436882,573177,694344,800338,892412,972793,1042597,1103424,1156373,1203270,1245264,1282614,1315932,1345826,1372668,1397073,1419331,1439418,1457824,1474483,1489694,1503752,1516748,1528595,1539580,1549743,1559258,1567886,1576146,1583907,1591116,1597877,1604256,1610231,1615933,1621119,1625851,1630364,1634614,1638787,1642714,1646324,1649820,1653147,1656274,1659241,1661974,1664726,1667327,1669734,1672144,1674386,1676489,1678466,1680344,1682183,1683994,1685603,1687223,1688762,1690187,1691619,1692948,1694233,1695465,1696663,1697879,1699004,1700049,1701092,1702038,1702997,1703872,1704735,1705545,1706311,1707029,1707794,1708493,1709168,1709829,1710526,1711163,1711763,1712381,1712936,1713499,1713981,1714506,1714974,1715404,1715860,1716312,1716712,1717102,1717496,1717908,1718232,1718603,1718970,1719286,1719627,1719988,1720297,1720612,1720918,1721233,1721505,1721757,1722018,1722276,1722505,1722718,1722949,1723161,1723351,
38147,3454,30056,88163,165343,250424,335352,417177,493044,562667,626681,684491,736859,784481,827144,866366,901939,934347,963949,991002,1015699,1038267,1059226,1078462,1096386,1112954,1128303,1142371,1155586,1167708,1179060,1189817,1199940,1209431,1218465,1226628,1234308,1241732,1248690,1255150,1261322,1267118,1272671,1277946,1282886,1287529,1291913,1296120,1300156,1303945,1307583,1311093,1314293,1317348,1320318,1323239,1326001,1328593,1331106,1333422,1335700,1337826,1339908,1341894,1343809,1345610,1347424,1349124,1350770,1352327,1353773,1355158,1356531,1357871,1359202,1360397,1361551,1362651,1363753,1364792,1365823,1366883,1367841,1368780,1369659,1370503,1371370,1372164,1372960,1373701,1374440,1375123,1375808,1376440,1377093,1377713,1378270,1378794,1379355,1379906,1380432,1380975,1381454,1381952,1382394,1382783,1383220,1383677,1384055,1384414,1384809,1385179,1385552,1385938,1386244,1386541,1386895,1387201,1387469,1387753,
38151,660,9951,37325,81588,137325,198101,260482,321062,379028,433453,484026,530708,574306,614310,650945,684753,716002,745034,771486,795874,818427,839106,858690,876737,893658,909230,923848,937425,950256,962107,973278,983889,994029,1003253,1011957,1020113,1028041,1035340,1042316,1048852,1055120,1061095,1066670,1071903,1076953,1081714,1086158,1090547,1094724,1098747,1102504,1106112,1109513,1112683,1115762,1118755,1121545,1124277,1126836,1129296,1131692,1133986,1136221,1138262,1140286,1142160,1144012,1145799,1147438,1149113,1150657,1152172,1153627,1155086,1156452,1157777,1159039,1160316,1161481,1162618,1163716,1164766,1165764,1166758,1167737,1168644,1169528,1170399,1171274,1172096,1172884,1173636,1174359,1175064,1175797,1176492,1177130,1177785,1178375,1178980,1179563,1180079,1180592,1181094,1181575,1182035,1182545,1182975,1183447,1183864,1184261,1184654,1185056,1185438,1185805,1186154,1186500,1186803,1187108,
38160,85,2463,12647,33698,64506,102125,142891,185715,228769,270714,311147,349476,385734,420009,451842,481896,509885,536046,560691,583662,604843,624668,643222,660540,676786,692077,706275,719814,732497,744318,755677,766140,776216,785703,794633,803211,811174,818741,825997,832680,839046,845213,850893,856477,861742,866637,871324,875899,880166,884095,888082,891817,895363,898708,901926,905027,908031,910897,913708,916349,918892,921289,923659,926038,928282,930372,932317,934318,936183,937983,939688,941351,942944,944466,945939,947427,948838,950188,951448,952691,953857,955006,956107,957248,958253,959252,960208,961138,962060,962899,963747,964528,965322,966095,966852,967541,968245,968912,969534,970176,970779,971400,971994,972561,973103,973655,974147,974615,975072,975562,975978,976455,976855,977294,977673,978080,978486,978866,979250,
38170,5,413,3164,10544,23917,42717,65594,91748,119529,148282,177340,205723,233124,259673,285020,309421,332806,354795,375375,395013,413712,431110,447619,463346,478049,492107,505287,517840,529610,540798,551408,561318,570680,579569,588217,596152,603757,611010,617866,624460,630787,636765,642409,647850,653072,658051,662934,667493,671819,676024,679879,683568,687062,690464,693670,696829,699912,702920,705742,708448,711009,713464,715840,718210,720412,722563,724648,726643,728641,730421,732202,733974,735618,737250,738787,740266,741713,743109,744425,745709,746921,748097,749200,750292,751408,752470,753477,754464,755377,756244,757127,757978,758779,759554,760313,761065,761775,762500,763237,763879,764555,765172,765751,766339,766916,767488,768027,768587,769099,769632,770093,770530,770997,771422,771835,772266,772702,773094,773482,
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38190,0,46,491,2454,6748,13962,24284,37050,51712,68051,85671,103811,121797,139822,157677,175341,192432,209022,224824,240098,254724,268619,282019,295106,307447,319188,330306,340944,351198,361018,370212,379094,387497,395583,403242,410595,417539,424094,430515,436520,442324,447829,453132,458240,462913,467528,472039,476243,480374,484209,488072,491669,495182,498465,501677,504766,507690,510589,513292,515898,518373,520774,523083,525298,527485,529576,531621,533666,535524,537269,539008,540711,542375,543956,545431,546873,548281,549654,550907,552210,553441,554625,555822,556969,558029,559096,560112,561100,562054,562973,563923,564806,565622,566399,567212,567951,568689,569398,570064,570709,571369,571989,572594,573158,573740,574315,574877,575386,575914,576381,576904,577408,577828,578305,578689,579105,579511,579937,580332,
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38230,0,0,7,80,290,887,2061,3978,6809,10429,14855,20001,25743,31899,38451,45256,52312,59603,67001,74224,81460,88735,95825,102796,109673,116395,122864,129415,135570,141499,147322,152994,158461,163708,168927,173771,178576,183178,187597,191895,195908,199790,203653,207387,211022,214484,217831,221074,224153,227204,230028,232804,235550,238160,240660,243085,245418,247737,249952,252055,254136,256132,257923,259835,261685,263335,265019,266634,268255,269754,271229,272702,273996,275265,276559,277825,279061,280218,281416,282474,283533,284578,285627,286605,287557,288486,289400,290260,291057,291915,292715,293468,294180,294830,295513,296199,296794,297458,298083,298685,299263,299860,300381,300886,301385,301889,302365,302840,303306,303742,304222,304620,305018,305434,305828,306187,306544,306880,307205,
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38410,0,25,287,1216,3369,7181,12646,19566,27755,37032,46870,57136,67800,78507,89036,99601,110001,120176,130035,139820,149034,157892,166501,174825,182637,190097,197297,204382,211212,217824,224069,229981,235791,241253,246515,251530,256339,260953,265411,269639,273672,277421,281177,284765,288198,291582,294790,297709,300614,303396,306146,308828,311419,313845,316202,318489,320646,322813,324736,326676,328576,330344,332118,333765,335401,336936,338500,340045,341494,342886,344211,345457,346674,347919,349065,350252,351333,352378,353415,354448,355411,356356,357261,358143,359007,359841,360624,361392,362132,362844,363571,364237,364946,365559,366213,366824,367473,368061,368627,369157,369694,370206,370704,371149,371606,372023,372452,372899,373306,373763,374099,374491,374867,375269,375639,376016,376353,376677,377005,
38420,0,7,99,547,1760,4060,7520,12167,17894,24535,31899,39729,47983,56415,64914,73485,81896,90449,98655,106846,114772,122367,129896,137100,144152,151014,157595,163746,169885,175677,181173,186553,191746,196742,201461,206018,210410,214632,218720,222565,226357,230048,233498,236781,240068,243210,246205,249156,251977,254624,257140,259658,262033,264377,266669,268743,270839,272836,274713,276586,278436,280241,281816,283406,284999,286538,287963,289312,290670,291921,293267,294496,295748,296809,297862,298922,299971,301030,301968,302970,303929,304828,305711,306567,307401,308180,308967,309741,310465,311162,311822,312540,313177,313783,314405,314980,315541,316093,316640,317163,317691,318158,318669,319174,319659,320086,320522,320945,321329,321721,322152,322496,322877,323216,323578,323938,324266,324557,324874,
38430,0,1,29,200,749,1959,3929,6916,10653,15156,20249,25831,31883,38414,45021,51670,58353,65189,72002,78605,85073,91494,97643,103700,109517,115200,120805,126216,131511,136579,141533,146182,150751,155125,159296,163426,167292,171116,174763,178322,181737,185013,188168,191199,194167,197012,199832,202453,205015,207404,209726,212008,214231,216417,218558,220559,222562,224299,226089,227837,229488,231122,232742,234245,235748,237203,238553,239963,241174,242418,243621,244785,245947,247072,248129,249092,250066,251048,251959,252950,253864,254739,255599,256421,257183,257939,258666,259386,260130,260791,261466,262079,262671,263274,263817,264377,264970,265488,266033,266534,267041,267545,267993,268464,268889,269324,269732,270150,270509,270912,271313,271705,272061,272395,272732,273092,273382,273708,274001,
38440,0,0,12,71,288,805,1839,3377,5575,8242,11541,15354,19458,23928,28660,33557,38449,43530,48643,53770,58846,63937,69073,73992,78820,83634,88213,92818,97246,101520,105717,109710,113584,117350,120936,124497,127969,131279,134546,137747,140863,143717,146574,149262,151869,154321,156758,159110,161437,163559,165662,167692,169731,171688,173479,175227,176963,178588,180218,181818,183437,184926,186346,187690,189047,190370,191620,192880,194066,195218,196359,197411,198429,199421,200383,201333,202268,203221,204030,204853,205688,206461,207297,208021,208791,209487,210167,210834,211462,212096,212714,213312,213867,214416,214984,215505,216022,216520,216992,217519,217917,218373,218823,219246,219634,220093,220476,220880,221235,221604,221957,222298,222612,222955,223273,223542,223842,224140,224413,
38450,0,0,0,17,102,332,792,1655,2931,4583,6677,9146,11943,14889,18172,21674,25483,29242,33107,36968,40842,44842,48751,52676,56547,60275,64020,67686,71288,74821,78189,81520,84768,87946,91031,94063,97072,99835,102730,105508,108115,110669,113098,115455,117774,120030,122126,124236,126262,128272,130085,131890,133683,135440,137184,138831,140455,142021,143467,144837,146219,147508,148837,150066,151295,152549,153666,154793,155869,156900,157947,158943,159886,160785,161667,162512,163355,164159,164900,165667,166445,167163,167863,168557,169258,169900,170554,171155,171782,172358,172957,173541,174092,174603,175108,175621,176079,176587,177056,177518,177918,178345,178773,179181,179572,179945,180311,180655,181028,181353,181686,182026,182330,182664,182986,183259,183561,183863,184129,
38460,0,0,1,6,30,110,278,624,1188,2029,3124,4468,6024,7896,10002,12366,14793,17361,19960,22746,25541,28350,31309,34168,37179,40024,42921,45785,48526,51282,53985,56648,59325,61920,64379,66877,69262,71578,73944,76222,78364,80442,82468,84503,86459,88357,90190,91950,93629,95217,96882,98390,99985,101412,102831,104157,105507,106840,108150,109407,110544,111715,112875,113970,115022,116056,117109,118037,118941,119868,120778,121572,122423,123286,124106,124877,125618,126341,127083,127809,128476,129179,129814,130476,131092,131672,132265,132841,133344,133925,134461,134970,135467,135932,136405,136870,137288,137726,138161,138556,138969,139345,139690,140033,140380,140711,141052,141380,141720,142023,142327,142632,142932,143209,143480,143747,143973,144220,144466,
38470,0,0,0,0,2,26,73,164,335,655,1123,1724,2450,3425,4456,5656,7007,8474,10073,11728,13510,15310,17142,19016,20919,22831,24822,26828,28812,30803,32665,34572,36470,38373,40200,42017,43738,45466,47173,48831,50415,52030,53619,55156,56654,58201,59633,61034,62358,63679,64999,66270,67514,68669,69847,70977,72084,73081,74102,75110,76135,77131,78029,78933,79835,80703,81517,82294,83088,83911,84671,85413,86165,86825,87508,88175,88818,89465,90076,90658,91257,91819,92362,92882,93415,93902,94433,94932,95430,95891,96351,96780,97215,97614,98009,98397,98805,99183,99576,99955,100273,100615,100907,101222,101570,101874,102149,102439,102717,102979,103249,103488,103744,104000,104257,104492,104709,104927,105151,
38480,0,0,0,0,0,1,6,25,64,144,289,459,694,1005,1398,1892,2449,3078,3817,4573,5390,6292,7214,8264,9325,10359,11465,12578,13725,14879,16080,17243,18422,19569,20735,21939,23095,24234,25326,26456,27520,28587,29625,30639,31687,32688,33726,34722,35671,36625,37549,38413,39276,40107,40952,41775,42579,43381,44153,44928,45643,46365,47069,47738,48404,49041,49662,50290,50884,51508,52115,52713,53243,53799,54282,54813,55302,55749,56213,56715,57170,57603,58032,58436,58860,59244,59636,60036,60421,60792,61162,61517,61856,62193,62510,62811,63118,63435,63733,64037,64299,64573,64846,65125,65366,65594,65821,66064,66277,66503,66712,66896,67095,67300,67476,67663,67844,68042,68215,
384915322,158081,346640,511711,646668,756792,847082,921281,983552,1036301,1081870,1121401,1155316,1185072,1211336,1234857,1256198,1275351,1292415,1308074,1322451,1335312,1347153,1358175,1368432,1377956,1386546,1394650,1402294,1409174,1415632,1421756,1427415,1432543,1437467,1442142,1446461,1450609,1454584,1458302,1461791,1465133,1468297,1471310,1474131,1476798,1479395,1481887,1484262,1486477,1488560,1490640,1492559,1494376,1496126,1497849,1499445,1500946,1502389,1503816,1505225,1506525,1507761,1509020,1510162,1511259,1512294,1513352,1514364,1515304,1516205,1517101,1517962,1518759,1519551,1520310,1521033,1521775,1522451,1523093,1523741,1524357,1524951,1525556,1526126,1526664,1527196,1527691,1528198,1528683,1529126,1529545,1529965,1530332,1530731,1531106,1531454,1531808,1532142,1532494,1532811,1533137,1533462,1533765,1534057,1534351,1534669,1534944,1535213,1535441,1535702,1535918,1536139,1536366,1536584,1536811,1537007,1537214,1537400,1537588,
38502266,56299,167054,288004,398782,495572,578838,650424,712247,765708,812038,852729,888943,920688,949497,975210,998352,1019211,1038274,1055691,1071346,1085892,1099106,1111370,1122719,1133391,1143182,1152119,1160506,1168520,1175789,1182741,1189386,1195608,1201318,1206853,1212026,1216920,1221396,1225705,1229830,1233674,1237239,1240729,1244037,1247148,1250178,1252988,1255729,1258376,1260865,1263231,1265495,1267682,1269758,1271697,1273592,1275356,1277149,1278784,1280383,1281966,1283416,1284876,1286258,1287514,1288717,1289946,1291103,1292144,1293199,1294265,1295311,1296302,1297253,1298103,1298959,1299813,1300592,1301428,1302201,1302933,1303650,1304325,1305014,1305652,1306265,1306842,1307379,1307961,1308461,1308963,1309463,1309943,1310412,1310877,1311335,1311726,1312095,1312479,1312841,1313213,1313595,1313940,1314299,1314620,1314936,1315238,1315522,1315814,1316116,1316391,1316673,1316958,1317236,1317463,1317706,1317927,1318137,1318339,
3851574,27012,99480,191111,282348,366541,441515,507763,565997,617049,662474,702442,738379,770439,799215,825325,848871,870297,889885,907784,924023,939106,952956,965735,977651,988705,999088,1008754,1017626,1025935,1033643,1041025,1047996,1054543,1060702,1066541,1072012,1077164,1082103,1086702,1090973,1095082,1099004,1102841,1106502,1109905,1113136,1116252,1119181,1121988,1124687,1127171,1129571,1131827,1134067,1136250,1138274,1140236,1142208,1143989,1145682,1147325,1148937,1150457,1151925,1153262,1154608,1155914,1157236,1158388,1159557,1160586,1161697,1162750,1163758,1164769,1165712,1166627,1167492,1168360,1169129,1169931,1170668,1171418,1172113,1172834,1173535,1174149,1174779,1175350,1175930,1176512,1177042,1177559,1178104,1178587,1179126,1179584,1180045,1180480,1180885,1181259,1181642,1181994,1182364,1182750,1183081,1183436,1183751,1184091,1184396,1184691,1184990,1185274,1185554,1185824,1186097,1186356,1186617,1186847,
385285,10279,50145,111628,180139,247629,310790,368617,420837,468473,510935,549181,583734,615042,643270,668765,692235,713576,733330,751466,768224,783275,797347,810639,822965,834108,844739,854508,863573,872333,880604,888262,895365,902203,908643,914688,920471,925869,930979,935991,940557,944981,949042,952979,956746,960252,963680,967002,970121,973213,976099,978889,981518,984030,986427,988731,990938,993006,994994,996835,998651,1000435,1002134,1003744,1005229,1006757,1008157,1009592,1010913,1012135,1013395,1014515,1015662,1016815,1017951,1019018,1020022,1021072,1021979,1022941,1023763,1024576,1025394,1026127,1026882,1027615,1028390,1029060,1029731,1030350,1030995,1031558,1032169,1032724,1033286,1033807,1034364,1034858,1035353,1035809,1036267,1036734,1037160,1037579,1037976,1038378,1038751,1039103,1039459,1039803,1040119,1040478,1040778,1041094,1041370,1041693,1041991,1042291,1042551,1042796,
38535,2899,20423,54736,99353,147888,195896,242784,286359,326842,364197,397976,429324,458252,484499,508503,530533,550965,569885,587225,603604,618732,632767,645672,657812,669123,679801,689953,699285,708069,716460,724334,731872,738662,745260,751403,757154,762674,767988,773017,777850,782341,786537,790681,794497,798261,801835,805158,808298,811364,814277,817159,819789,822450,824873,827309,829546,831764,833754,835769,837696,839517,841360,843060,844708,846282,847843,849329,850753,852071,853382,854674,855851,857020,858227,859283,860337,861305,862310,863324,864202,865101,865992,866809,867629,868388,869144,869875,870584,871280,871984,872636,873280,873886,874440,874986,875550,876047,876591,877096,877574,878027,878482,878945,879354,879766,880168,880584,880939,881326,881711,882047,882388,882724,883033,883334,883681,883979,884259,884541,
38542,1278,11516,34864,68262,107163,147106,186744,224978,260824,294814,326226,354918,381664,406277,429120,450413,470006,488261,505049,520613,535254,548965,561762,573510,584580,595024,604757,614045,622624,630780,638503,645726,652658,659232,665472,671326,676947,682292,687333,692184,696697,701065,705169,709069,712839,716478,719842,723066,726241,729185,732080,734836,737345,739785,742279,744618,746752,748965,750982,752946,754799,756582,758290,759973,761588,763194,764657,766073,767453,768814,770085,771306,772477,773611,774696,775818,776957,777903,778874,779852,780773,781661,782546,783324,784132,784910,785680,786413,787152,787845,788519,789137,789693,790296,790845,791443,791977,792505,793002,793542,793978,794451,794881,795340,795752,796148,796573,796985,797373,797758,798119,798486,798811,799172,799501,799826,800130,800448,800757,
38550,482,5902,20545,43910,72822,104220,136970,169223,200109,229606,257510,283071,307480,330170,351384,371317,389508,406707,422865,437747,451801,464839,477335,488873,499695,509935,519559,528608,537145,545135,552775,559749,566569,572933,578957,584744,590335,595556,600582,605308,609858,614245,618443,622318,626183,629746,633219,636454,639524,642567,645413,648100,650735,653259,655690,658034,660227,662345,664319,666297,668157,670023,671759,673437,674983,676546,678084,679507,680949,682341,683655,684870,686118,687298,688436,689450,690529,691574,692576,693529,694482,695332,696206,696988,697784,698592,699307,700051,700768,701457,702128,702787,703400,703992,704594,705169,705715,706272,706772,707282,707798,708224,708713,709159,709634,710040,710430,710837,711211,711614,711975,712325,712677,712995,713331,713639,713990,714276,714566,
38560,170,2615,10789,25657,45777,69247,94125,119654,145242,170112,193852,216375,237760,258195,277206,295111,312087,327761,342614,356679,369780,382238,393786,404720,415311,425020,434223,442881,451044,458740,465947,472899,479359,485602,491577,497235,502513,507696,512618,517300,521691,525905,530034,533901,537554,541072,544419,547613,550695,553628,556394,559061,561664,564096,566430,568660,570916,573093,575120,577181,579128,580877,582615,584305,586035,587673,589169,590629,592058,593389,594728,596029,597299,598558,599716,600793,601876,602935,603975,604950,605914,606798,607602,608448,609234,610049,610801,611570,612341,613046,613734,614424,615094,615716,616317,616887,617451,618007,618533,619060,619597,620075,620547,621000,621443,621862,622299,622724,623108,623483,623858,624203,624571,624893,625239,625551,625863,626170,626455,
38570,27,934,4841,13148,25616,41560,59669,78989,98443,118077,137311,156095,174245,191500,207872,223551,238644,252729,265971,278598,290504,301843,312417,322647,332171,341152,349691,357754,365325,372721,379706,386177,392400,398360,404111,409569,414837,419810,424515,429074,433432,437440,441419,445081,448624,452023,455372,458438,461382,464239,467098,469684,472239,474640,476991,479228,481463,483591,485602,487569,489434,491309,493038,494698,496263,497866,499362,500729,502155,503560,504876,506166,507425,508597,509764,510877,511875,512917,513968,514931,515851,516744,517568,518454,519291,520079,520892,521667,522375,523086,523760,524423,525048,525678,526278,526838,527398,527935,528463,528966,529482,529909,530384,530821,531274,531736,532180,532585,532960,533357,533759,534134,534468,534799,535136,535447,535799,536109,536422,
38580,7,412,2699,8175,17180,29143,43385,58781,75026,91571,108153,124425,140172,155529,170360,184686,197956,211014,223452,234924,246014,256423,266295,275710,284658,293239,301290,308965,316354,323311,329976,336248,342309,348033,353486,358700,363556,368144,372600,376927,381029,384951,388696,392358,395852,399133,402326,405328,408230,411047,413781,416462,419062,421466,423815,426029,428121,430139,432046,433974,435800,437619,439358,440984,442589,444192,445723,447129,448453,449765,450997,452231,453478,454637,455781,456881,457968,459001,459970,460919,461843,462798,463606,464420,465219,466049,466813,467560,468282,468985,469636,470291,470953,471559,472185,472735,473316,473868,474383,474898,475384,475920,476384,476816,477262,477673,478107,478491,478893,479253,479632,480018,480379,480704,481062,481387,481671,481983,482264,
38590,5,217,1377,4764,10659,18925,29315,41255,54045,67507,81381,94955,108277,121499,134271,146717,158622,169975,181180,191783,201930,211374,220674,229376,237626,245540,252985,260221,267129,273742,279933,285899,291583,296911,302229,307165,311877,316357,320622,324802,328756,332553,336212,339731,343154,346402,349475,352403,355155,357821,360408,362854,365230,367548,369840,371983,374103,376145,378020,379930,381621,383330,384985,386629,388202,389702,391180,392505,393871,395222,396449,397645,398846,399982,401067,402111,403105,404099,405098,406022,406915,407790,408651,409463,410293,411079,411820,412589,413338,414021,414711,415350,415995,416596,417137,417677,418284,418852,419378,419884,420354,420818,421312,421750,422193,422616,423062,423519,423952,424320,424696,425033,425384,425734,426112,426408,426701,426969,427254,
38600,1,74,626,2477,6025,11348,18648,27412,37040,47605,58335,69436,80549,91597,102250,112697,122900,132883,142436,151720,160677,169171,177232,184868,192544,199913,206760,213300,219555,225585,231399,236859,242233,247220,252002,256626,261009,265109,269176,273048,276732,280286,283685,287072,290217,293258,296278,299098,301788,304397,306898,309275,311669,313850,315873,317954,319928,321873,323736,325508,327185,328873,330423,332018,333482,334986,336339,337650,338987,340215,341406,342615,343716,344831,345896,346941,347981,348906,349848,350760,351637,352467,353334,354175,355030,355791,356525,357237,357892,358568,359202,359833,360476,361066,361657,362203,362752,363247,363796,364258,364696,365184,365656,366077,366503,366957,367327,367749,368153,368526,368852,369213,369558,369891,370222,370544,370833,371134,371427,
38610,0,24,260,1109,2982,6161,10727,16503,23465,30957,39133,47596,56188,65132,73862,82499,91059,99372,107276,115154,122722,130084,137317,144120,150852,157238,163332,169169,174689,180120,185204,190116,194882,199441,203794,208056,212217,216064,219835,223426,226912,230214,233401,236526,239450,242268,245047,247698,250272,252746,255080,257360,259515,261612,263604,265553,267382,269199,271006,272722,274324,275929,277435,278869,280312,281697,283029,284299,285540,286706,287910,289027,290151,291278,292286,293286,294246,295201,296094,296966,297824,298678,299428,300165,300942,301721,302441,303142,303788,304443,305106,305707,306306,306852,307391,307916,308446,308947,309440,309899,310383,310836,311279,311677,312103,312527,312912,313314,313666,314042,314393,314719,315042,315382,315696,316002,316307,316629,316894,
38620,0,2,72,411,1293,3005,5629,9102,13437,18473,24152,30021,36374,42782,49211,55898,62589,69214,75685,82156,88460,94368,100380,106084,111584,116967,122213,127219,132200,136813,141375,145693,149838,153870,157799,161540,165211,168561,171887,175061,178159,181033,183970,186788,189558,192126,194633,197001,199340,201561,203737,205930,207889,209770,211649,213430,215112,216695,218317,219825,221290,222760,224111,225494,226814,228188,229442,230674,231886,233011,234097,235201,236216,237223,238169,239146,240037,240893,241749,242560,243419,244183,244969,245688,246398,247102,247793,248428,249091,249731,250315,250879,251451,251995,252541,253107,253610,254071,254539,254983,255442,255875,256293,256705,257111,257535,257898,258272,258625,258934,259289,259638,259938,260231,260537,260848,261128,261431,261693,
38630,0,0,31,157,529,1388,2735,4651,7288,10572,14422,18540,23054,27750,32578,37675,42791,47922,53020,58089,63160,68129,73032,77815,82438,86944,91360,95637,99791,103769,107715,111454,115059,118587,122026,125274,128479,131559,134563,137385,140221,142865,145531,147987,150338,152601,154875,157008,159147,161149,163052,165010,166806,168528,170221,171831,173445,174956,176456,177952,179389,180781,182078,183312,184517,185677,186813,187928,189093,190207,191227,192179,193111,194037,194929,195761,196626,197464,198259,199037,199797,200582,201286,201982,202680,203322,203967,204603,205171,205727,206273,206840,207371,207902,208424,208903,209336,209763,210239,210680,211117,211518,211917,212290,212675,213059,213393,213735,214071,214400,214727,215049,215324,215618,215932,216199,216486,216755,216987,
38640,0,0,1,36,175,480,1082,2134,3514,5266,7419,9865,12779,15788,18980,22310,25905,29588,33274,37014,40858,44690,48364,51984,55626,59120,62579,66078,69334,72505,75596,78654,81533,84393,87167,89958,92636,95194,97721,100102,102498,104868,107108,109256,111379,113400,115214,117131,118973,120711,122320,124015,125562,127152,128655,130114,131537,132843,134208,135482,136690,137853,139017,140208,141344,142422,143524,144549,145565,146523,147408,148323,149204,150073,150876,151712,152448,153222,153947,154638,155274,155968,156563,157200,157776,158352,158918,159461,160047,160583,161121,161634,162110,162555,163043,163454,163919,164304,164700,165094,165493,165886,166294,166643,167002,167357,167740,168097,168423,168722,169044,169355,169611,169867,170129,170389,170650,170909,171142,
38650,0,0,1,9,32,118,300,675,1219,2020,3019,4260,5755,7425,9279,11250,13416,15651,18080,20465,22934,25422,27938,30447,32991,35442,37944,40485,42902,45330,47666,49967,52294,54522,56690,58821,60841,62837,64835,66778,68659,70448,72271,73965,75678,77320,78938,80434,81916,83346,84743,86144,87475,88817,90059,91251,92383,93505,94621,95715,96720,97753,98737,99690,100685,101592,102471,103340,104190,105025,105792,106495,107188,107936,108707,109408,110093,110738,111356,112008,112630,113225,113740,114320,114863,115409,115927,116457,116911,117392,117843,118256,118668,119105,119521,119893,120283,120641,120999,121363,121719,122026,122354,122670,123014,123302,123604,123897,124177,124450,124722,124988,125223,125499,125755,126007,126234,126462,126671,
38660,0,0,0,0,2,8,39,117,252,463,751,1185,1682,2342,3125,4044,5056,6078,7260,8536,9803,11127,12479,13825,15267,16751,18217,19660,21199,22613,24104,25600,27114,28520,30016,31470,32864,34235,35593,36845,38122,39386,40630,41821,42985,44145,45323,46437,47492,48527,49587,50535,51510,52454,53396,54288,55154,56048,56865,57700,58532,59377,60190,60926,61648,62352,63062,63743,64418,65036,65616,66219,66828,67392,67901,68410,68930,69467,69910,70420,70930,71404,71882,72337,72762,73193,73589,73989,74392,74794,75171,75556,75902,76229,76569,76909,77201,77503,77798,78107,78414,78687,78939,79236,79492,79759,80005,80291,80566,80786,81018,81230,81454,81664,81832,82012,82187,82377,82546,
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3870484,22526,83596,160759,238877,310571,375572,433458,484382,529557,569837,605919,638266,666810,692790,716040,737325,756696,774522,791037,806411,820441,833350,845233,856295,866406,876136,884984,893371,901210,908716,915701,922237,928443,934183,939565,944707,949468,954149,958495,962675,966720,970452,973881,977384,980695,983867,986733,989619,992339,995004,997523,999877,1002132,1004237,1006232,1008223,1010161,1012048,1013698,1015394,1016962,1018538,1020085,1021529,1022922,1024305,1025560,1026800,1027953,1029122,1030209,1031271,1032350,1033362,1034303,1035242,1036189,1037034,1037873,1038679,1039461,1040207,1040951,1041667,1042350,1043020,1043671,1044298,1044873,1045444,1045971,1046553,1047073,1047610,1048130,1048641,1049134,1049569,1050020,1050472,1050905,1051292,1051676,1052055,1052429,1052775,1053122,1053460,1053759,1054047,1054353,1054644,1054927,1055185,1055458,1055713,1055960,1056188,1056440,
387169,8002,39771,89107,145165,201690,254745,303813,348632,389198,425781,459182,489190,516489,541420,564288,585183,604260,622042,638312,653299,667226,680268,692259,703478,713749,723517,732576,741148,749267,756767,763965,770599,776987,782971,788638,794067,799144,803937,808537,812928,817070,820924,824685,828246,831643,834872,837988,840934,843760,846499,849119,851593,854005,856233,858342,860433,862447,864343,866206,867942,869633,871256,872828,874347,875852,877297,878598,879912,881207,882466,883618,884711,885798,886866,887912,888873,889810,890720,891583,892423,893246,894013,894799,895537,896301,897002,897697,898349,898938,899582,900141,900690,901259,901811,902360,902897,903420,903882,904364,904819,905297,905713,906116,906495,906854,907247,907604,907940,908275,908608,908970,909292,909616,909942,910238,910526,910813,911069,911313,
387225,4207,24799,61547,106208,153437,199327,242950,283674,320869,355049,386347,414764,440792,464879,486756,506912,525455,542615,558688,573506,587181,599973,611695,622827,633070,642581,651679,660353,668339,675810,682842,689628,695942,702007,707716,713085,718098,723022,727691,732196,736406,740416,744233,747793,751358,754663,757775,760799,763587,766218,768917,771430,773878,776186,778402,780554,782609,784598,786515,788313,790054,791679,793349,794906,796417,797849,799212,800551,801867,803143,804312,805460,806578,807687,808778,809779,810708,811685,812608,813489,814358,815170,815986,816718,817473,818141,818805,819469,820116,820756,821384,822007,822568,823124,823659,824179,824675,825148,825592,826080,826529,826931,827362,827773,828163,828547,828906,829265,829625,829959,830294,830639,830942,831225,831520,831813,832073,832356,832600,
38737,1868,13901,38895,72437,110032,148467,185810,221343,254831,285905,314714,341107,365407,388113,408909,428480,446569,463084,478280,492653,505641,518027,529561,540516,550687,560254,569355,577723,585662,593101,600115,606814,613215,619215,624983,630465,635466,640392,644980,649428,653588,657606,661391,665004,668610,671913,675056,678022,680865,683670,686313,688940,691357,693650,695931,698052,700120,702099,704057,705846,707563,709283,710882,712478,714025,715548,716935,718249,719591,720852,722084,723262,724398,725464,726442,727466,728443,729414,730340,731256,732118,732964,733767,734555,735303,736013,736733,737411,738071,738728,739366,739944,740491,741100,741628,742152,742617,743125,743580,744024,744498,744919,745314,745726,746121,746548,746929,747297,747674,748022,748392,748727,749034,749382,749663,749957,750255,750552,750824,
38740,703,6991,22662,46179,74274,104234,134944,164914,193339,220546,245917,269601,291576,312290,331471,349469,366565,382108,396782,410261,422911,434811,446007,456484,466561,475699,484328,492623,500487,507953,514850,521320,527594,533354,539058,544426,549489,554227,558869,563199,567335,571324,575092,578709,582143,585503,588644,591741,594607,597361,600045,602527,604981,607323,609553,611636,613671,615670,617589,619451,621178,622896,624547,626123,627636,629117,630595,631995,633311,634573,635784,636940,638084,639188,640283,641323,642296,643275,644238,645205,646081,646866,647628,648416,649157,649887,650624,651334,651983,652613,653232,653858,654451,655054,655593,656172,656682,657207,657716,658194,658644,659092,659529,659982,660419,660815,661196,661605,661976,662349,662689,663019,663329,663625,663938,664231,664556,664832,665108,
38750,196,2958,11639,26131,45337,67695,90925,114719,137711,160309,181889,202525,222086,240153,257071,273169,288337,302748,316061,328811,340667,351582,362106,371973,381274,390119,398624,406562,414040,421135,427840,434110,440144,446029,451303,456430,461406,466078,470586,474940,478959,482922,486704,490230,493570,496786,499945,502839,505614,508359,510947,513428,515809,518115,520313,522480,524519,526476,528483,530261,532028,533803,535460,536990,538483,539980,541431,542783,544106,545380,546617,547872,549003,550099,551148,552193,553239,554231,555197,556145,557007,557903,558796,559566,560292,561035,561732,562465,563148,563773,564416,565050,565654,566229,566806,567349,567892,568407,568862,569333,569815,570257,570680,571100,571536,571950,572361,572733,573092,573452,573826,574167,574539,574879,575173,575481,575772,576066,576328,
38760,80,1541,6935,17239,31719,49145,68177,87743,107885,127586,146710,165005,182299,198877,214588,229293,243279,256637,269112,280809,291979,302423,312618,322044,330938,339398,347525,355149,362147,368913,375407,381423,387206,392708,398087,403148,407829,412360,416583,420831,424754,428526,432086,435634,438888,442069,445245,448138,450932,453584,456145,458583,460944,463223,465431,467423,469484,471397,473377,475120,476939,478700,480253,481786,483323,484789,486175,487524,488825,490124,491316,492450,493556,494671,495765,496802,497866,498827,499745,500666,501528,502370,503182,503953,504755,505458,506226,506959,507663,508351,508975,509609,510194,510746,511313,511880,512430,512943,513422,513924,514391,514863,515287,515701,516132,516537,516952,517319,517713,518068,518457,518817,519150,519466,519797,520103,520404,520698,520967,
38770,29,757,3918,10654,20917,34113,48981,65092,81393,97959,114272,130117,145435,160112,174125,187454,200145,212224,223745,234515,244909,254869,264147,272927,281098,289089,296588,303753,310547,316945,323078,328855,334304,339612,344664,349412,354020,358391,362585,366642,370492,374222,377680,381073,384353,387434,390425,393153,395920,398637,401138,403537,405836,408166,410332,412406,414454,416381,418209,420082,421768,423410,425070,426673,428197,429641,431064,432415,433668,434853,436061,437145,438256,439402,440487,441542,442551,443540,444485,445423,446279,447074,447855,448622,449389,450111,450761,451432,452120,452795,453429,454064,454639,455249,455798,456346,456832,457355,457880,458336,458828,459321,459740,460150,460555,460925,461299,461703,462094,462469,462824,463156,463507,463851,464199,464507,464795,465102,465361,
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38820,0,0,18,128,502,1278,2534,4362,6825,9701,12997,16697,20699,24882,29110,33520,37949,42472,46941,51464,55901,60225,64543,68833,72986,76931,80916,84577,88235,91887,95371,98641,101850,105014,108012,110947,113780,116585,119298,121822,124315,126735,129096,131302,133470,135559,137493,139478,141409,143235,144946,146671,148285,149867,151422,152922,154331,155676,157042,158325,159603,160877,162114,163236,164348,165393,166466,167475,168517,169477,170386,171296,172193,173061,173858,174560,175366,176138,176825,177551,178180,178837,179471,180097,180723,181280,181836,182426,182969,183522,184011,184514,184980,185450,185921,186386,186826,187249,187680,188068,188473,188875,189263,189637,189985,190339,190670,191013,191339,191631,191914,192224,192517,192778,193035,193263,193494,193794,194037,
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38930,659,6380,20279,41211,66416,93268,120732,147431,173053,197364,220292,241908,261742,280497,297900,313953,329316,343778,357115,369492,381233,392060,402369,412084,421202,429687,437812,445436,452613,459388,465809,471866,477728,483318,488523,493567,498413,502999,507250,511284,515149,518827,522254,525595,528770,531887,534795,537733,540359,542892,545443,547906,550191,552322,554368,556448,558404,560242,562041,563785,565478,567089,568736,570160,571647,573057,574436,575737,576956,578255,579451,580627,581739,582839,583858,584801,585747,586662,587607,588539,589403,590214,591013,591754,592438,593173,593834,594527,595181,595770,596384,596991,597570,598132,598640,599165,599632,600103,600578,601012,601460,601905,602294,602708,603078,603476,603852,604206,604587,604925,605270,605604,605874,606187,606496,606811,607099,607377,607632,
38940,311,3646,13162,28712,48208,70313,93222,115959,138500,160214,180861,200487,218800,236041,252339,267583,282091,295576,308084,319843,330986,341439,351279,360477,369170,377459,385321,392780,399796,406365,412807,418677,424252,429649,434807,439664,444307,448818,453061,457117,460944,464607,468208,471575,474746,477801,480731,483475,486077,488615,491067,493465,495765,497932,500007,502030,503985,505909,507758,509556,511254,512845,514331,515800,517238,518653,520059,521343,522567,523728,524883,526062,527167,528248,529244,530197,531175,532155,533020,533934,534756,535579,536388,537146,537841,538605,539305,539994,540669,541318,541900,542503,543044,543576,544113,544674,545201,545694,546167,546597,547015,547444,547874,548304,548725,549105,549461,549831,550187,550536,550879,551220,551532,551860,552166,552439,552734,553005,553277,
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39410,1059,12896,44025,90364,145787,204807,262957,318700,371288,419256,463576,503930,540911,574759,605864,633929,659543,683219,704807,724759,742874,759539,774989,789239,802461,814540,826035,836637,846471,855667,864314,872300,879827,886886,893508,899563,905398,911031,916136,920978,925569,929827,933996,937736,941351,944787,948068,951114,954132,956949,959631,962180,964586,966833,969034,971039,972977,974766,976501,978248,979892,981396,982962,984416,985745,987073,988235,989392,990536,991641,992660,993639,994638,995558,996436,997274,998095,998919,999668,1000413,1001100,1001752,1002372,1003009,1003611,1004170,1004738,1005240,1005747,1006229,1006703,1007137,1007536,1007938,1008304,1008708,1009088,1009434,1009827,1010156,1010494,1010823,1011135,1011426,1011719,1011979,1012242,1012469,1012706,1012943,1013190,1013425,1013615,1013848,1014045,1014252,1014444,1014649,1014841,
39420,192,3733,17429,42049,75741,114874,156207,197901,238513,277114,313368,347589,379534,408863,436517,461916,485183,506742,526680,545082,562515,578526,593373,607064,619867,631883,642965,653451,663217,672284,680756,688801,696255,703309,709952,716118,722064,727507,732552,737465,742003,746399,750415,754315,758068,761499,764856,768072,771058,773872,776575,779109,781528,783814,786100,788225,790231,792159,793967,795767,797459,799107,800660,802155,803488,804796,806059,807268,808427,809575,810649,811708,812658,813634,814532,815418,816257,817040,817832,818590,819365,820054,820733,821398,822026,822608,823181,823769,824289,824816,825331,825809,826287,826716,827129,827530,827885,828275,828629,829007,829347,829653,829933,830208,830510,830822,831103,831365,831614,831876,832114,832353,832581,832814,832999,833226,833419,833629,833821,
39430,21,916,5579,16459,33686,56212,82054,109572,138037,166367,193866,220337,245756,269754,292434,313708,333761,352496,369963,386328,401643,416036,429361,441834,453523,464480,474843,484523,493614,502155,510247,517877,525050,531754,538088,543998,549514,554824,559926,564672,569302,573575,577628,581412,585043,588680,591965,595078,598021,600899,603579,606070,608467,610836,613125,615286,617319,619220,621075,622873,624636,626301,627860,629358,630750,632166,633418,634696,635870,637011,638066,639105,640102,641083,642033,642889,643726,644571,645411,646230,646982,647705,648368,649033,649626,650233,650834,651382,651915,652441,652981,653439,653898,654339,654760,655174,655526,655925,656303,656664,657011,657360,657717,658026,658332,658656,658935,659188,659486,659719,659989,660227,660443,660649,660867,661094,661297,661487,661680,
39440,2,383,2782,9219,20622,36416,55332,76715,98962,122224,145097,167653,189551,210153,230103,248788,266399,283239,299210,314208,328330,341521,353812,365632,376566,386886,396421,405620,414268,422346,429950,436996,443831,450170,456329,462056,467511,472452,477268,481816,486289,490377,494297,498157,501749,505017,508246,511354,514361,517175,519754,522245,524632,526948,529120,531124,533093,534979,536859,538650,540321,541948,543386,544880,546261,547656,548950,550162,551365,552552,553650,554701,555739,556698,557581,558499,559358,560212,560932,561715,562521,563234,563916,564592,565254,565835,566451,567012,567599,568129,568650,569174,569640,570125,570534,570937,571348,571758,572150,572536,572896,573243,573548,573886,574165,574457,574730,575000,575246,575499,575765,575991,576211,576444,576666,576884,577102,577299,577497,
39450,2,144,1318,5021,12031,22360,35794,51355,68321,86318,104552,122781,140454,157926,174865,191128,206485,221152,235278,248461,261130,272927,284348,295099,305311,314861,323910,332311,340269,347871,354929,361682,368163,374266,380000,385432,390576,395409,400031,404287,408560,412577,416385,419984,423474,426703,429793,432860,435759,438303,440848,443262,445632,447770,449915,452028,453960,455742,457546,459238,460930,462510,464042,465487,466858,468230,469515,470734,471862,472959,474020,475052,476053,477067,477999,478849,479728,480520,481341,482091,482800,483505,484162,484828,485454,486061,486637,487203,487753,488283,488763,489231,489716,490133,490562,490976,491380,491769,492192,492567,492928,493247,493560,493852,494145,494422,494714,494997,495263,495529,495810,496083,496305,496529,496753,496927,497118,497316,497501,
39460,0,53,506,2363,6227,12645,21570,32329,44815,58455,72449,86959,101504,115531,129539,143242,156316,169030,181146,192712,203878,214279,224213,233773,242825,251303,259206,266787,274127,281036,287655,293917,299815,305518,310762,315754,320537,325052,329425,333555,337428,341045,344560,347969,351160,354309,357164,359919,362630,365155,367588,369877,372295,374360,376418,378395,380270,382109,383855,385484,387075,388606,390077,391456,392816,394126,395341,396581,397702,398815,399871,400861,401797,402704,403623,404504,405352,406140,406895,407635,408327,409025,409664,410311,410929,411516,412121,412641,413193,413704,414241,414730,415203,415666,416097,416481,416895,417291,417657,418027,418408,418766,419091,419404,419686,419971,420257,420558,420811,421060,421279,421529,421800,422013,422222,422417,422621,422808,423001,
39470,0,9,187,941,2943,6606,12052,18978,27357,36806,46986,57615,68536,79751,90648,101620,112279,122494,132397,142124,151391,160232,168649,176881,184794,192269,199480,206308,212646,218945,224888,230550,235810,240788,245651,250245,254603,258761,262818,266586,270233,273711,276978,280010,283103,285938,288667,291317,293849,296237,298440,300649,302732,304680,306670,308486,310232,311910,313508,315045,316550,317983,319419,320788,322103,323298,324475,325624,326680,327772,328754,329709,330646,331517,332397,333283,334016,334754,335460,336157,336853,337534,338162,338801,339415,339955,340509,341036,341557,342068,342579,343030,343477,343873,344285,344684,345073,345459,345817,346158,346484,346851,347184,347492,347786,348038,348306,348561,348812,349095,349343,349575,349787,349997,350212,350414,350626,350808,350972,
39480,0,4,93,558,1757,4182,7905,12872,19097,26434,34581,43313,52379,61508,70743,79898,89148,98080,106819,115389,123696,131706,139263,146500,153499,160353,166867,172881,178801,184453,189845,195006,199969,204482,208937,213307,217476,221289,225044,228589,231896,235156,238277,241283,244129,246783,249464,251922,254174,256536,258751,260853,262817,264737,266534,268294,270006,271623,273166,274653,276084,277458,278794,280122,281325,282489,283642,284744,285800,286769,287724,288625,289569,290502,291330,292131,292901,293625,294314,295017,295673,296308,296961,297587,298199,298774,299308,299810,300304,300761,301257,301724,302131,302542,302950,303336,303677,304041,304390,304725,305035,305372,305651,305957,306244,306510,306787,307060,307333,307580,307827,308067,308291,308486,308692,308894,309104,309318,309493,
39490,0,2,50,288,945,2398,4963,8517,13087,18628,24919,31660,38719,46134,53734,61421,69011,76578,83964,91282,98552,105482,112179,118698,125013,131145,137114,142683,148013,153086,157997,162712,167217,171445,175636,179398,183272,186739,190254,193538,196711,199752,202678,205460,208144,210667,213106,215384,217643,219849,221905,223803,225727,227508,229240,230910,232473,234004,235513,236880,238208,239522,240781,242029,243214,244418,245457,246471,247492,248487,249376,250287,251115,251924,252736,253445,254172,254892,255612,256276,256876,257481,258082,258643,259171,259685,260208,260727,261201,261673,262098,262542,262978,263410,263803,264199,264551,264917,265238,265570,265870,266211,266496,266799,267096,267379,267674,267895,268160,268400,268646,268877,269093,269305,269490,269690,269872,270036,270234,
39500,0,0,21,132,513,1378,2932,5289,8424,12368,16896,22035,27559,33269,39377,45367,51613,57789,63959,70056,76118,82078,87938,93539,98948,104178,109243,114216,118923,123490,127813,131999,135943,139773,143524,147125,150552,153786,156926,159869,162706,165513,168134,170681,173192,175539,177755,179881,181924,183997,185899,187678,189479,191151,192853,194356,195856,197343,198641,199941,201219,202440,203615,204792,205879,206944,207954,208896,209878,210773,211645,212501,213280,214069,214831,215519,216231,216938,217539,218162,218740,219314,219883,220408,220944,221456,221923,222421,222901,223321,223702,224136,224569,224975,225319,225703,226065,226423,226761,227066,227349,227648,227950,228244,228538,228793,229044,229284,229519,229761,229940,230137,230337,230547,230730,230907,231085,231259,231451,
39510,0,0,5,44,216,666,1529,2971,4980,7493,10596,14211,18208,22546,26991,31824,36706,41548,46438,51377,56258,61091,65846,70509,75201,79597,83918,88109,92175,96049,99916,103543,107078,110477,113775,116995,119981,122917,125685,128423,130926,133427,135833,138075,140289,142380,144403,146334,148190,149996,151715,153365,155063,156611,158118,159550,160929,162192,163398,164662,165762,166879,168013,169037,170021,171019,171988,172859,173725,174606,175411,176209,177020,177736,178394,179076,179745,180384,180989,181562,182113,182676,183181,183699,184185,184674,185135,185580,186043,186462,186874,187245,187626,187976,188315,188630,188950,189274,189582,189893,190123,190401,190681,190956,191202,191441,191686,191918,192152,192383,192594,192785,192975,193179,193380,193563,193741,193914,194071,
39520,0,0,0,12,67,277,750,1457,2574,4118,6154,8466,11154,14138,17327,20659,24212,27720,31394,35346,39124,42990,46699,50375,53917,57636,61037,64483,67865,71257,74508,77572,80503,83377,86084,88771,91360,93891,96368,98767,101049,103269,105405,107424,109429,111319,113060,114819,116507,118097,119631,121148,122574,123963,125311,126674,127952,129131,130348,131439,132520,133604,134581,135573,136502,137379,138270,139100,139907,140678,141425,142121,142823,143524,144150,144771,145375,145993,146544,147067,147588,148111,148591,149086,149559,149998,150435,150844,151244,151667,152046,152405,152757,153070,153388,153720,154029,154316,154605,154895,155128,155392,155629,155880,156125,156353,156575,156797,157006,157231,157432,157647,157822,157995,158167,158337,158507,158660,158817,
39530,0,0,1,6,32,128,329,724,1411,2319,3542,5038,6797,8828,11126,13451,15991,18701,21479,24287,27189,30105,33096,36033,38894,41850,44736,47443,50090,52769,55408,58029,60500,62905,65287,67610,69809,71930,73975,76016,78024,79875,81702,83438,85139,86805,88325,89837,91302,92778,94115,95389,96616,97891,99074,100227,101319,102387,103382,104411,105368,106239,107090,107972,108830,109672,110461,111206,111928,112659,113295,113957,114629,115207,115813,116397,116953,117525,118033,118536,119036,119515,119944,120373,120823,121240,121653,122041,122425,122800,123122,123478,123781,124086,124412,124686,124982,125258,125499,125757,126022,126271,126498,126743,126936,127139,127353,127553,127726,127907,128114,128274,128427,128606,128772,128947,129098,129261,129411,
39540,0,0,0,1,5,34,140,309,608,1057,1698,2552,3624,4889,6291,7848,9568,11389,13295,15290,17464,19613,21761,23996,26180,28384,30475,32634,34778,36903,39060,41006,43014,44950,46829,48726,50536,52282,53940,55607,57241,58750,60188,61685,63117,64479,65799,67065,68260,69477,70638,71734,72794,73868,74910,75929,76888,77833,78697,79561,80436,81254,82092,82844,83547,84265,84921,85570,86227,86847,87454,88039,88595,89179,89648,90189,90658,91098,91566,91958,92360,92778,93149,93536,93894,94279,94643,94994,95332,95634,95939,96230,96527,96826,97112,97383,97656,97948,98173,98409,98656,98866,99095,99295,99486,99662,99844,100024,100185,100357,100533,100678,100825,100973,101140,101292,101427,101580,101737,
39550,0,0,0,0,1,10,33,79,211,412,702,1115,1619,2224,2936,3759,4745,5915,7087,8339,9635,11021,12376,13835,15304,16791,18298,19819,21277,22739,24306,25761,27216,28627,30045,31358,32745,34088,35363,36635,37847,39063,40237,41377,42478,43538,44582,45624,46657,47606,48493,49426,50236,51110,51920,52730,53482,54246,54993,55702,56365,57074,57724,58378,58998,59596,60139,60698,61173,61667,62144,62631,63114,63566,64004,64440,64843,65220,65635,65984,66337,66661,67021,67321,67673,67975,68315,68583,68882,69185,69482,69741,69976,70218,70448,70671,70902,71141,71313,71536,71719,71919,72100,72258,72468,72620,72761,72896,73040,73167,73323,73460,73588,73729,73863,73992,74108,74235,74369,
39560,0,0,0,0,0,1,7,22,45,109,189,299,460,714,1041,1417,1873,2341,2885,3477,4128,4824,5604,6371,7205,8058,8866,9722,10619,11504,12358,13255,14200,15066,15937,16867,17701,18521,19370,20251,21067,21911,22689,23459,24247,24990,25735,26470,27152,27832,28524,29169,29782,30372,30914,31501,32092,32641,33149,33664,34124,34610,35103,35579,36007,36447,36869,37279,37685,38105,38424,38795,39151,39479,39831,40154,40455,40773,41075,41388,41673,41925,42193,42455,42711,42977,43239,43485,43727,43935,44156,44352,44548,44723,44921,45095,45251,45431,45613,45796,45967,46100,46261,46416,46557,46682,46790,46933,47040,47161,47292,47394,47509,47630,47733,47819,47904,48013,48104,
39575784,101815,264918,423070,558427,671477,764860,842791,908400,963955,1011461,1052573,1088008,1118786,1146165,1170527,1191848,1211034,1228455,1243974,1257872,1270645,1282298,1292842,1302525,1311483,1319831,1327534,1334716,1341326,1347327,1352816,1357997,1362915,1367513,1371748,1375779,1379490,1382940,1386273,1389427,1392299,1395081,1397661,1400153,1402473,1404580,1406685,1408732,1410596,1412316,1413998,1415585,1417089,1418587,1419983,1421251,1422414,1423702,1424919,1425988,1427002,1427941,1428894,1429814,1430689,1431570,1432339,1433048,1433793,1434493,1435096,1435741,1436339,1436940,1437495,1438041,1438548,1439022,1439503,1439944,1440397,1440807,1441197,1441612,1442011,1442388,1442729,1443049,1443363,1443683,1443982,1444282,1444536,1444778,1445055,1445303,1445552,1445777,1445981,1446169,1446375,1446584,1446779,1446954,1447151,1447336,1447511,1447654,1447823,1447979,1448136,1448275,1448412,1448526,1448657,1448765,1448877,1448992,1449125,
3958520,29130,109889,211235,311603,403437,484215,555021,616285,670191,717081,758107,794501,826415,854908,880594,903802,924558,943241,960194,975589,989703,1002580,1014271,1025129,1035067,1044463,1053238,1061298,1068690,1075447,1081977,1087986,1093522,1098648,1103550,1108133,1112388,1116475,1120251,1123799,1127157,1130345,1133412,1136207,1138969,1141559,1143902,1146240,1148486,1150644,1152580,1154504,1156270,1157825,1159424,1160938,1162451,1163785,1165151,1166404,1167630,1168723,1169828,1170906,1171843,1172792,1173701,1174625,1175533,1176342,1177110,1177868,1178588,1179296,1179950,1180568,1181201,1181764,1182328,1182901,1183436,1183941,1184394,1184842,1185309,1185775,1186163,1186567,1186947,1187275,1187600,1187959,1188281,1188585,1188914,1189202,1189463,1189745,1190024,1190293,1190561,1190802,1191049,1191268,1191494,1191719,1191914,1192135,1192320,1192517,1192690,1192861,1193019,1193179,1193340,1193495,1193628,1193790,1193909,
395999,12265,59246,129859,207362,283039,352607,415008,470670,520793,565093,604136,639221,670650,698947,724389,747167,767818,786340,803618,819480,833924,847093,859301,870536,880804,890432,899252,907530,915264,922545,929104,935357,941187,946725,951736,956542,961072,965337,969408,973249,976885,980256,983488,986532,989397,992121,994639,997095,999356,1001478,1003555,1005604,1007523,1009425,1011109,1012666,1014190,1015669,1017108,1018503,1019786,1020976,1022170,1023273,1024369,1025372,1026399,1027306,1028229,1029098,1029962,1030835,1031597,1032356,1033111,1033818,1034457,1035087,1035684,1036285,1036875,1037381,1037928,1038447,1038921,1039394,1039788,1040215,1040655,1041089,1041454,1041846,1042164,1042518,1042864,1043179,1043499,1043822,1044102,1044377,1044642,1044926,1045154,1045384,1045624,1045852,1046051,1046288,1046488,1046670,1046856,1047032,1047210,1047379,1047555,1047703,1047855,1048023,1048181,
39608,4071,27396,70559,124446,181784,237199,289265,337230,381211,420531,456158,488695,518069,544854,568986,591043,611293,629727,646669,662163,676473,689614,701724,712782,723146,732960,741963,750373,758189,765542,772281,778693,784678,790326,795661,800681,805228,809617,813720,817747,821532,825047,828302,831449,834482,837366,840006,842629,845041,847360,849529,851611,853586,855490,857253,858974,860590,862147,863658,865108,866430,867704,868921,870103,871275,872392,873431,874475,875492,876401,877314,878137,878955,879739,880460,881200,881887,882532,883175,883768,884287,884837,885378,885867,886354,886867,887335,887834,888306,888729,889140,889529,889925,890282,890641,890977,891307,891589,891899,892187,892455,892714,892997,893230,893468,893719,893927,894122,894323,894537,894735,894928,895104,895300,895482,895646,895820,895966,896114,
39612,944,9961,31751,64222,102169,142144,181559,219022,254689,288082,318646,347244,373377,397325,419185,439662,458128,475204,491219,505880,519557,531948,543726,554724,564747,574298,583162,591384,599171,606426,613315,619798,625809,631452,636751,641841,646505,650875,655042,659019,662728,666414,669808,673004,676127,678980,681683,684218,686660,689006,691219,693352,695399,697272,699109,700867,702508,704063,705623,707059,708507,709889,711172,712453,713627,714720,715722,716786,717749,718716,719629,720524,721409,722211,723000,723774,724481,725157,725851,726475,727088,727711,728290,728854,729407,729915,730357,730829,731253,731669,732137,732582,732992,733386,733781,734143,734500,734819,735122,735413,735729,736017,736277,736575,736811,737067,737281,737492,737691,737930,738139,738361,738543,738725,738909,739090,739281,739444,739607,
39620,411,5459,19762,42735,71737,103631,136387,168404,199549,228907,256467,282117,305994,327990,348560,367480,385164,401589,416443,430531,443342,455428,466596,477009,486807,495823,504342,512332,519863,526851,533377,539809,545695,551255,556561,561518,566140,570454,574616,578577,582316,585839,589181,592390,595322,598190,601015,603528,605947,608210,610433,612559,614639,616571,618398,620139,621779,623444,624995,626403,627816,629217,630498,631701,632924,634054,635163,636193,637191,638171,639091,639969,640804,641625,642424,643175,643876,644577,645256,645929,646569,647137,647732,648262,648803,649351,649892,650363,650870,651296,651736,652149,652557,652943,653318,653681,654040,654378,654721,655040,655328,655627,655892,656162,656432,656683,656925,657166,657391,657628,657851,658023,658219,658404,658603,658790,658928,659087,659238,
39630,150,2638,11270,26929,47819,72258,98263,124638,150675,175870,199648,222221,243475,263227,281652,298861,315089,330283,344253,357418,369572,381100,391909,401919,411353,420109,428293,435909,443193,450074,456644,462863,468545,473927,479008,483816,488392,492674,496786,500616,504283,507721,511000,514159,517189,520079,522809,525322,527837,530064,532360,534399,536358,538302,540161,541907,543612,545181,546620,548108,549529,550789,552141,553342,554480,555616,556658,557743,558757,559769,560683,561566,562485,563276,564104,564836,565574,566284,566984,567630,568250,568889,569496,570073,570563,571072,571572,572031,572483,572903,573344,573748,574166,574592,574978,575330,575657,576011,576292,576608,576898,577213,577487,577734,577988,578240,578496,578728,578969,579179,579385,579580,579790,579992,580202,580361,580533,580702,580869,
39640,52,1182,5795,15505,29672,47031,66580,87164,107987,128707,149017,168145,186509,203633,220156,235652,250294,264007,276649,288566,299943,310383,320479,329816,338578,346899,354744,362012,368915,375466,381630,387299,392789,397985,402900,407499,411877,415958,419799,423499,427079,430431,433564,436608,439539,442243,444894,447404,449858,452154,454253,456259,458196,460022,461819,463507,465117,466725,468242,469691,471052,472370,473665,474973,476186,477294,478361,479361,480356,481289,482151,483018,483897,484689,485479,486222,486937,487669,488324,488958,489574,490152,490764,491314,491871,492419,492910,493410,493904,494395,494803,495203,495605,495969,496344,496677,497003,497351,497701,498011,498322,498641,498928,499202,499474,499733,499994,500212,500456,500677,500905,501092,501267,501469,501669,501857,502020,502175,502313,
39650,11,424,2610,7900,16495,28037,41730,57031,72918,89322,105330,120684,135964,150350,164212,177443,189940,201877,213243,223936,233970,243444,252552,261088,269083,276558,283589,290358,296687,302719,308441,313710,318854,323668,328167,332573,336659,340491,344218,347700,351029,354253,357286,360223,363000,365636,368106,370538,372824,375037,377087,379050,380939,382762,384502,386170,387728,389245,390695,392063,393395,394694,395901,397079,398168,399277,400366,401355,402302,403242,404147,405016,405853,406634,407447,408145,408869,409542,410181,410761,411379,411978,412576,413072,413606,414115,414600,415011,415456,415907,416354,416762,417137,417560,417952,418293,418654,418991,419327,419638,419945,420214,420471,420747,421008,421274,421518,421742,421944,422165,422391,422630,422816,423035,423231,423415,423601,423774,423942,
39660,2,199,1424,4925,11068,19570,30067,42135,55036,68342,81997,95481,108917,121571,134133,145995,157297,168187,178316,188148,197389,206322,214550,222300,229772,236820,243612,249889,255850,261530,266884,271854,276814,281300,285689,289830,293842,297530,301186,304679,307907,310881,313814,316509,319151,321692,324070,326375,328556,330640,332684,334582,336403,338170,339789,341438,342981,344453,345879,347193,348441,349692,350855,352006,353124,354220,355303,356309,357263,358189,359050,359880,360725,361507,362248,362969,363657,364312,364943,365586,366195,366801,367350,367850,368343,368856,369348,369838,370335,370762,371201,371556,371943,372326,372652,372987,373330,373666,373955,374251,374554,374847,375135,375391,375666,375891,376117,376393,376613,376818,377006,377176,377354,377541,377721,377893,378062,378221,378367,
39670,0,91,780,2832,6894,12896,20727,29965,40232,51117,62290,73333,84488,95267,105880,116220,126217,135914,145183,153854,161995,169956,177453,184605,191415,197935,204019,209833,215518,220679,225729,230401,235062,239372,243490,247355,251027,254506,257899,261096,264161,267108,269854,272577,275086,277439,279730,281950,284060,286019,287945,289861,291657,293292,294911,296485,297926,299362,300767,302107,303410,304658,305752,306900,307941,308962,309950,310899,311793,312671,313501,314306,315079,315860,316574,317269,317961,318617,319234,319837,320371,320958,321540,322107,322620,323119,323608,324056,324494,324950,325325,325752,326129,326487,326866,327204,327511,327824,328152,328442,328734,329035,329302,329570,329815,330041,330271,330518,330751,330957,331168,331377,331567,331752,331935,332117,332299,332442,332595,
39680,0,28,340,1528,4019,7967,13394,20201,27923,36277,45079,54211,63366,72385,81416,90237,98904,107169,115159,122713,129952,136909,143504,150052,156156,162061,167579,172844,177939,182923,187401,191937,196162,200069,203832,207382,210940,214228,217371,220458,223201,225982,228570,230977,233299,235579,237811,239912,241939,243851,245687,247370,249046,250633,252176,253556,255012,256300,257621,258920,260068,261313,262424,263503,264537,265531,266465,267336,268220,269060,269888,270667,271435,272174,272875,273535,274191,274823,275426,275971,276504,277068,277556,278100,278585,279074,279527,279940,280388,280841,281251,281650,282070,282433,282763,283082,283405,283729,284045,284350,284643,284930,285221,285504,285740,285967,286184,286425,286635,286865,287069,287232,287421,287610,287780,287952,288111,288287,288432,
39690,0,11,150,695,2152,4548,8045,12754,18340,24360,30856,37682,44854,52063,59099,66217,73390,80465,87084,93574,99986,105954,111793,117349,122765,127986,133027,137662,142106,146471,150728,154655,158252,161830,165239,168601,171702,174720,177581,180270,182837,185321,187745,189963,192228,194355,196412,198354,200138,201898,203662,205310,206867,208377,209858,211315,212662,213924,215160,216326,217479,218570,219661,220688,221667,222637,223536,224401,225205,226043,226806,227546,228277,228948,229608,230258,230848,231432,232004,232575,233142,233647,234133,234617,235088,235533,235992,236391,236818,237174,237554,237958,238289,238626,238957,239259,239558,239816,240087,240352,240627,240885,241117,241380,241623,241851,242065,242287,242504,242701,242884,243067,243236,243415,243608,243794,243955,244083,244228,
39700,0,5,51,276,886,2085,4058,6840,10395,14533,19235,24190,29226,34711,40223,45691,51234,56678,62170,67573,72872,77915,82816,87548,92036,96344,100712,104796,108759,112513,116098,119602,123050,126266,129426,132287,135130,137734,140286,142642,145002,147263,149414,151490,153470,155412,157220,158941,160630,162293,163873,165416,166860,168182,169515,170797,172064,173239,174319,175370,176435,177407,178404,179344,180232,181108,181978,182804,183609,184367,185052,185720,186369,187006,187595,188211,188798,189340,189879,190423,190928,191432,191906,192360,192777,193229,193599,193987,194353,194779,195055,195381,195712,196067,196384,196685,196986,197257,197508,197773,198022,198264,198526,198765,198994,199205,199419,199638,199844,200035,200199,200384,200572,200761,200911,201068,201210,201371,201529,
39710,0,2,18,119,378,1067,2129,3844,5960,8669,11835,15254,19005,22937,26982,31232,35502,39819,44192,48431,52586,56668,60662,64595,68403,72225,75734,79139,82530,85621,88715,91687,94563,97326,99962,102455,104933,107286,109599,111767,113873,115879,117857,119722,121514,123255,124900,126538,128109,129606,131011,132368,133670,134990,136173,137310,138429,139517,140519,141534,142579,143471,144381,145253,146134,146902,147678,148457,149169,149847,150494,151159,151781,152390,152944,153501,154089,154584,155108,155612,156096,156575,157029,157480,157908,158316,158718,159063,159463,159823,160167,160493,160826,161137,161448,161705,161973,162205,162496,162755,162990,163240,163443,163662,163874,164068,164260,164454,164631,164795,164976,165164,165339,165485,165646,165798,165932,166070,166206,
39720,0,1,3,34,152,456,961,1888,3130,4747,6656,8934,11371,14016,16819,19791,22841,26005,29102,32230,35344,38439,41494,44581,47634,50475,53338,56098,58788,61419,63982,66377,68857,71139,73317,75524,77628,79620,81500,83418,85238,86995,88673,90281,91849,93328,94830,96225,97554,98823,100093,101319,102459,103569,104663,105679,106636,107570,108534,109404,110268,111090,111926,112686,113423,114154,114850,115490,116141,116748,117353,117961,118540,119049,119552,120081,120542,120986,121435,121906,122315,122750,123157,123552,123910,124300,124656,124994,125333,125631,125956,126248,126533,126821,127076,127353,127628,127844,128107,128332,128553,128776,128973,129177,129358,129547,129708,129899,130087,130249,130424,130588,130711,130872,131042,131188,131320,131458,131576,
39730,0,0,0,5,35,122,300,633,1107,1858,2849,3961,5328,6881,8499,10330,12258,14261,16282,18356,20446,22591,24773,27003,29120,31227,33295,35225,37337,39300,41265,43179,44980,46778,48484,50202,51727,53239,54789,56351,57819,59119,60491,61798,63011,64234,65417,66587,67654,68713,69762,70775,71736,72678,73565,74448,75258,76054,76842,77613,78381,79090,79754,80375,81013,81667,82256,82827,83354,83902,84406,84861,85404,85864,86319,86756,87189,87572,87967,88354,88742,89102,89455,89783,90149,90489,90777,91076,91361,91655,91908,92201,92455,92689,92958,93168,93412,93624,93827,94015,94221,94404,94572,94741,94905,95059,95226,95362,95509,95659,95798,95955,96083,96235,96386,96511,96624,96758,96868,
39740,0,0,0,0,4,12,58,150,286,503,868,1305,1868,2519,3295,4141,5085,6062,7138,8347,9498,10754,12016,13317,14586,15811,17082,18294,19569,20830,22115,23342,24533,25727,26940,28098,29188,30231,31242,32267,33306,34244,35215,36117,37019,37927,38793,39672,40491,41259,41997,42706,43371,43994,44667,45355,46009,46650,47257,47873,48418,48961,49524,50051,50580,51059,51495,51945,52344,52775,53212,53621,53960,54364,54740,55077,55420,55739,56064,56367,56677,56964,57252,57519,57790,58069,58313,58568,58809,59041,59266,59451,59644,59874,60062,60230,60427,60604,60777,60946,61106,61253,61392,61556,61692,61826,61961,62096,62225,62343,62467,62583,62697,62793,62893,63010,63122,63215,63319,
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39763204,64844,179284,297300,403353,494230,570998,635846,690902,738727,779799,815578,846981,874783,899357,921233,941154,958974,975126,989812,1002956,1014884,1025899,1035981,1045273,1053857,1061665,1069077,1075974,1082335,1088294,1093692,1098934,1103849,1108266,1112453,1116484,1120256,1123775,1127124,1130306,1133278,1135999,1138629,1141150,1143475,1145749,1147858,1149914,1151836,1153682,1155468,1157105,1158618,1160085,1161487,1162783,1164071,1165274,1166427,1167603,1168659,1169686,1170662,1171574,1172471,1173298,1174119,1174948,1175711,1176485,1177220,1177895,1178519,1179154,1179740,1180283,1180852,1181384,1181891,1182375,1182857,1183307,1183700,1184089,1184488,1184898,1185265,1185619,1185961,1186308,1186641,1186942,1187221,1187510,1187770,1188057,1188333,1188584,1188835,1189072,1189288,1189481,1189666,1189862,1190044,1190221,1190384,1190548,1190724,1190919,1191053,1191216,1191350,1191510,1191660,1191800,1191939,1192082,1192204,
3977961,33736,112637,204855,293554,373273,443355,503948,556985,603039,643080,678302,709692,737304,761971,784189,804355,822306,838644,853592,867256,879679,891123,901648,911195,920111,928428,936251,943247,950085,956332,962103,967584,972686,977477,981935,986245,990224,993928,997430,1000850,1004068,1006915,1009754,1012432,1015030,1017432,1019677,1021806,1023804,1025815,1027588,1029302,1030975,1032534,1034047,1035466,1036836,1038234,1039456,1040657,1041824,1042878,1043927,1044873,1045791,1046734,1047634,1048464,1049241,1050041,1050788,1051519,1052203,1052833,1053455,1054071,1054671,1055243,1055782,1056328,1056848,1057315,1057775,1058222,1058684,1059061,1059463,1059858,1060197,1060525,1060861,1061185,1061493,1061786,1062095,1062389,1062634,1062941,1063235,1063488,1063740,1063958,1064183,1064388,1064599,1064806,1064997,1065166,1065346,1065525,1065699,1065858,1066014,1066161,1066311,1066442,1066587,1066733,1066890,
3978198,14463,61999,127406,196362,262091,322707,376931,424985,467316,505288,538891,568960,596035,620464,642491,662380,680413,696630,711736,725549,738087,749640,760457,770261,779445,787946,795707,803192,809852,816438,822550,828251,833534,838380,843011,847443,851523,855320,858980,862491,865701,868830,871671,874466,877103,879570,881845,884087,886241,888255,890222,892175,893913,895645,897189,898753,900170,901543,902908,904196,905407,906563,907677,908697,909686,910650,911550,912393,913235,914095,914917,915634,916355,917012,917675,918318,918888,919486,920079,920640,921202,921731,922196,922676,923161,923567,923986,924444,924792,925173,925506,925849,926173,926498,926829,927100,927361,927631,927906,928164,928415,928625,928864,929084,929315,929540,929768,929993,930183,930368,930543,930724,930905,931056,931232,931389,931552,931672,931812,
397933,4817,28212,68048,116092,165970,213952,258305,298969,336408,369923,400157,427455,452500,475486,496290,515167,532325,548302,562869,576516,588934,600443,611135,621099,630229,638747,646412,653871,660764,667306,673325,679107,684461,689501,694155,698654,702928,706890,710640,714193,717501,720642,723611,726409,729097,731542,734006,736377,738602,740632,742610,744511,746282,747998,749642,751212,752719,754128,755561,756888,758125,759390,760501,761641,762670,763723,764692,765654,766555,767403,768235,769048,769805,770501,771163,771812,772460,773096,773702,774258,774811,775362,775872,776377,776839,777316,777753,778178,778616,778990,779368,779727,780103,780431,780731,781055,781341,781666,781954,782240,782535,782770,782987,783219,783426,783641,783854,784058,784277,784476,784679,784878,785061,785233,785407,785566,785723,785877,786024,
39806,2400,17461,46313,83777,124742,165854,204919,241395,275093,306320,334440,360357,383988,405561,425264,443672,460111,475490,489706,503049,514953,525845,536123,545830,554740,563026,570826,578158,585047,591332,597515,603305,608693,613592,618297,622789,626971,630933,634625,638173,641518,644700,647688,650541,653350,655890,658208,660516,662635,664816,666822,668712,670599,672312,673934,675515,677035,678445,679831,681158,682389,683578,684800,685935,687005,688020,688955,689939,690870,691755,692637,693447,694214,694922,695602,696295,696987,697612,698241,698825,699444,699992,700550,701046,701539,701979,702440,702898,703301,703684,704067,704433,704785,705126,705507,705844,706165,706467,706752,707019,707270,707523,707782,708031,708239,708478,708710,708899,709099,709304,709501,709672,709854,710036,710204,710387,710544,710704,710861,
39814,1068,9726,29267,57150,89310,122646,155583,187327,217092,244710,270443,294236,315681,335842,354335,371271,387102,401621,415120,427562,439071,449902,459825,469287,478073,486296,493843,501096,507861,514204,520096,525549,530773,535687,540348,544603,548828,552760,556452,559934,563184,566314,569318,572180,574888,577472,579920,582292,584502,586530,588638,590597,592375,594126,595794,597386,598871,600288,601679,603016,604283,605524,606701,607843,608966,609979,610954,611955,612833,613733,614549,615337,616126,616855,617583,618285,618941,619577,620230,620856,621409,621981,622545,623058,623560,624057,624538,625011,625434,625846,626213,626614,626977,627342,627667,627992,628338,628648,628971,629228,629498,629761,630030,630249,630485,630727,630947,631150,631357,631558,631742,631945,632145,632329,632485,632675,632856,633006,633157,
39821,381,4930,16888,36033,59638,85683,112115,138209,163434,187499,210146,231299,251045,269060,285920,301644,316239,329724,342421,354188,365280,375424,384985,393998,402307,410019,417299,424171,430562,436623,442388,447902,452938,457645,462196,466576,470617,474467,478064,481548,484917,487941,490891,493645,496353,498968,501435,503776,505921,507930,509945,511841,513713,515421,517086,518712,520205,521658,523037,524355,525591,526802,527935,529037,530155,531206,532200,533150,534010,534884,535762,536586,537348,538060,538778,539489,540205,540828,541488,542081,542648,543168,543732,544292,544820,545343,545842,546324,546752,547163,547555,547926,548275,548617,548977,549334,549694,549966,550267,550556,550878,551156,551429,551665,551902,552125,552335,552574,552778,552956,553132,553330,553518,553691,553843,554035,554210,554390,554521,
39830,121,2021,8701,20667,36761,55749,75750,96449,116941,136745,155852,173865,190884,206983,221799,235511,248578,260885,272538,283318,293306,302708,311875,320224,327999,335455,342302,348989,355191,361000,366660,371882,376759,381286,385785,390045,393967,397720,401289,404619,407747,410824,413613,416335,418919,421385,423736,425953,428032,430071,432094,433970,435813,437542,439142,440730,442285,443653,444948,446231,447510,448679,449772,450919,452001,453053,454038,454993,455897,456772,457577,458368,459129,459865,460545,461215,461840,462487,463105,463717,464303,464874,465388,465900,466408,466873,467357,467824,468240,468681,469077,469463,469826,470175,470518,470854,471177,471478,471774,472055,472343,472623,472851,473101,473321,473564,473787,473996,474199,474405,474587,474781,474960,475131,475297,475482,475627,475779,475938,
39840,50,1167,5376,13868,26276,41247,57555,74884,92187,109537,126131,142050,157167,171585,185350,198079,210057,221264,231996,242214,251760,260781,269152,277078,284466,291406,297964,304147,310033,315667,320952,325982,330627,335053,339319,343309,347112,350595,354001,357182,360271,363155,365975,368566,371105,373525,375884,377987,380128,382050,383951,385757,387513,389211,390841,392405,393872,395307,396610,397917,399170,400316,401445,402538,403671,404646,405620,406535,407424,408263,409100,409914,410636,411337,412040,412703,413333,413933,414524,415122,415714,416265,416772,417268,417749,418216,418690,419133,419538,419959,420372,420754,421139,421489,421813,422158,422486,422765,423082,423345,423621,423880,424143,424385,424606,424824,425021,425264,425483,425700,425878,426070,426257,426436,426597,426764,426902,427064,427229,
39850,18,602,3181,8802,17527,28672,41601,55444,69932,84324,98589,112374,125778,138583,150902,162583,173769,184124,193969,203204,211932,220123,227871,235319,242232,248928,255192,261014,266657,271853,276775,281505,285871,289999,294002,297825,301484,304951,308171,311262,314334,317139,319868,322390,324838,327142,329368,331527,333522,335520,337335,339096,340784,342429,343959,345446,346820,348143,349440,350646,351851,353014,354136,355218,356239,357159,358094,359006,359953,360792,361560,362358,363135,363882,364578,365287,365896,366522,367069,367655,368240,368780,369285,369815,370263,370708,371152,371581,372009,372398,372804,373220,373583,373942,374255,374578,374901,375181,375455,375723,375972,376243,376492,376731,376978,377164,377381,377568,377758,377953,378155,378335,378510,378698,378871,379067,379216,379384,379529,
39860,6,264,1615,5151,10906,18775,28575,39427,50988,62765,74640,86131,97399,108264,118760,128896,138594,147833,156585,164974,172803,180418,187528,194373,200904,206827,212553,217994,223120,228042,232626,237024,241299,245304,249009,252731,256116,259347,262439,265360,268157,270848,273430,275789,278170,280421,282625,284715,286623,288573,290285,291995,293626,295202,296698,298106,299518,300827,302095,303308,304469,305557,306646,307671,308659,309627,310532,311417,312258,313048,313873,314573,315280,315953,316613,317277,317892,318522,319073,319640,320190,320694,321200,321725,322209,322619,323047,323444,323850,324246,324644,325002,325369,325686,326012,326326,326611,326898,327191,327466,327765,328052,328306,328572,328835,329057,329269,329494,329687,329886,330105,330293,330460,330619,330791,330956,331135,331275,331436,
39870,2,89,735,2622,6200,11361,17965,25819,34544,43640,53005,62260,71422,80592,89583,98164,106563,114615,122277,129364,136267,142980,149320,155336,161059,166461,171672,176532,181176,185717,189897,193966,197848,201599,205181,208505,211612,214650,217454,220195,222790,225353,227716,230011,232253,234395,236394,238348,240199,241924,243623,245229,246783,248227,249602,250897,252268,253484,254681,255826,256920,258037,259076,260079,260989,261902,262765,263619,264412,265239,265992,266704,267415,268085,268722,269352,269950,270565,271067,271576,272084,272596,273092,273546,273995,274432,274855,275266,275672,276063,276428,276823,277173,277508,277810,278121,278440,278710,278989,279278,279549,279837,280102,280350,280569,280780,280984,281208,281402,281589,281757,281942,282120,282293,282462,282638,282804,282960,283090,
39880,0,39,277,1223,3078,6059,10166,15318,21181,27742,34617,41644,48913,56079,63108,70153,77029,83540,89929,96024,101805,107449,113076,118268,123366,128088,132570,136940,141098,145141,148894,152502,155977,159315,162571,165546,168391,171165,173673,176167,178565,180893,183150,185402,187428,189331,191223,193103,194788,196373,197940,199387,200841,202247,203614,204863,206113,207270,208397,209461,210443,211377,212330,213219,214091,214933,215745,216567,217341,218078,218791,219554,220194,220821,221401,221974,222530,223058,223596,224109,224599,225077,225546,225980,226426,226842,227253,227637,227997,228338,228691,229034,229373,229753,230074,230363,230653,230938,231234,231472,231731,231955,232194,232432,232636,232841,233046,233251,233449,233630,233801,233982,234169,234318,234484,234651,234790,234938,235076,
39890,0,8,103,509,1440,3146,5683,9021,12984,17611,22601,27883,33257,38756,44306,49821,55336,60743,66075,71205,76025,80675,85268,89704,93925,98116,102045,105813,109535,113060,116378,119552,122635,125645,128510,131230,133839,136301,138717,141089,143221,145254,147210,149118,151005,152794,154514,156158,157657,159144,160586,161881,163186,164440,165661,166845,167971,169032,170104,171068,171989,172937,173875,174718,175550,176362,177181,177921,178633,179355,180029,180708,181337,181896,182463,183007,183563,184029,184538,185058,185482,185929,186318,186718,187112,187499,187900,188292,188636,188967,189305,189674,189968,190279,190578,190833,191119,191388,191652,191895,192134,192360,192583,192768,192982,193197,193387,193584,193761,193921,194079,194239,194425,194601,194767,194910,195042,195170,195297,
39900,0,0,23,161,556,1415,2739,4563,6838,9662,12830,16286,20056,24056,27929,31959,35947,39994,44041,47921,51680,55498,59198,62753,66148,69512,72689,75802,78938,81928,84723,87491,90128,92680,95120,97388,99628,101779,103790,105784,107671,109558,111253,113002,114647,116223,117680,119060,120393,121783,123088,124324,125471,126597,127697,128726,129658,130654,131562,132501,133358,134205,135021,135778,136534,137267,138002,138696,139309,139915,140582,141180,141723,142265,142818,143327,143835,144302,144789,145249,145695,146117,146536,146905,147299,147652,147975,148331,148677,149029,149356,149670,149938,150201,150479,150743,150991,151244,151491,151716,151930,152151,152358,152551,152729,152908,153090,153256,153437,153609,153766,153920,154069,154210,154360,154490,154635,154774,154907,
39910,0,0,5,31,149,442,966,1794,2953,4424,6155,8190,10447,12728,15231,17855,20522,23239,26048,28793,31536,34345,36979,39690,42218,44732,47222,49603,52014,54281,56496,58654,60783,62752,64692,66570,68336,70065,71746,73366,74948,76453,77957,79386,80678,81961,83215,84369,85508,86607,87731,88756,89772,90780,91672,92551,93412,94248,95089,95894,96604,97291,97964,98628,99309,99962,100561,101140,101705,102236,102733,103239,103744,104207,104705,105191,105576,106000,106409,106831,107224,107605,107978,108308,108651,108999,109323,109599,109936,110245,110551,110819,111072,111327,111564,111830,112036,112280,112493,112700,112878,113078,113278,113434,113635,113809,113987,114153,114317,114449,114608,114735,114885,115017,115158,115275,115406,115532,115660,
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3997182,11869,50893,105419,163552,219208,271247,317567,359206,396005,429281,458778,485528,509419,530943,550669,568626,584833,599803,613468,625756,637194,647851,657708,666770,675089,682911,690166,697021,703255,709203,714760,719937,724838,729378,733790,737949,741910,745599,749054,752260,755447,758342,761096,763697,766229,768591,770795,772910,774834,776713,778526,780225,781898,783489,784980,786461,787807,789110,790414,791624,792742,793938,794951,795963,796916,797875,798716,799624,800452,801256,802010,802732,803460,804150,804802,805435,806071,806621,807202,807719,808230,808744,809251,809697,810150,810590,811040,811427,811791,812190,812562,812883,813188,813488,813785,814086,814363,814648,814929,815198,815444,815674,815928,816146,816345,816555,816751,816972,817159,817334,817508,817673,817832,817996,818127,818289,818445,818603,818740,
399857,6721,33780,75936,123723,171700,217702,259629,297532,331971,363030,390935,416165,439373,459914,479063,496301,512257,526789,540061,552541,563901,574486,584193,593151,601635,609386,616771,623585,629870,635775,641414,646726,651683,656337,660621,664808,668719,672287,675745,679094,682211,685183,688058,690686,693195,695529,697831,699901,702014,703946,705806,707585,709275,710868,712427,713906,715278,716634,717879,719112,720272,721411,722512,723530,724531,725498,726421,727339,728197,729040,729824,730552,731262,731963,732605,733257,733839,734420,734967,735525,736025,736503,737017,737509,737953,738387,738810,739203,739591,739948,740284,740660,740985,741304,741605,741885,742161,742474,742763,743000,743260,743491,743736,743940,744152,744356,744570,744779,745006,745198,745377,745563,745728,745895,746057,746215,746367,746517,746658,
399918,3364,20386,51141,89247,128766,167315,204231,238487,269944,298838,325388,348980,370506,390136,408345,424997,440152,454107,467041,479005,490195,500481,510113,518854,527125,534768,542069,548712,555046,560939,566428,571673,576640,581343,585582,589728,593581,597063,600587,603815,607037,609930,612795,615478,617985,620235,622533,624674,626715,628690,630646,632504,634214,635794,637383,638857,640286,641677,642938,644221,645422,646631,647792,648827,649895,650839,651762,652592,653406,654211,655049,655804,656521,657253,657922,658536,659159,659767,660342,660908,661457,661985,662475,662946,663425,663837,664259,664683,665061,665436,665783,666122,666488,666839,667159,667467,667746,668040,668320,668590,668853,669115,669346,669575,669801,670005,670207,670408,670598,670775,670947,671131,671317,671488,671631,671795,671951,672105,672231,
40006,1547,11665,32187,60451,91392,123159,153941,183168,210789,236270,259837,281297,301228,319651,336402,352126,366575,379962,392374,403953,414638,424467,433599,442207,450237,457616,464521,471095,477342,483076,488467,493586,498471,503035,507346,511422,515301,518987,522375,525587,528676,531574,534362,536958,539475,541984,544284,546517,548582,550517,552368,554131,555769,557383,558888,560408,561715,563089,564333,565608,566787,568015,569105,570194,571199,572202,573126,574019,574871,575657,576436,577204,577977,578702,579325,579982,580595,581185,581763,582309,582882,583402,583863,584325,584821,585273,585752,586170,586617,586990,587381,587729,588096,588428,588764,589070,589389,589660,589957,590224,590470,590749,590997,591225,591451,591685,591864,592068,592283,592474,592687,592871,593062,593242,593383,593577,593724,593875,594007,
40011,561,5668,17992,36832,59577,84187,108964,133249,156457,178390,198667,217745,235439,251944,267267,281554,294871,307325,318760,329746,339763,349106,357763,365906,373675,380738,387568,393978,399887,405475,410718,415750,420330,424777,428982,433016,436763,440291,443626,446847,449811,452661,455352,458044,460557,462921,465200,467322,469325,471278,473149,474978,476612,478222,479721,481227,482693,484026,485282,486581,487785,488895,490001,491112,492151,493144,494074,495006,495871,496675,497439,498159,498908,499571,500268,500907,501550,502122,502698,503239,503745,504290,504827,505288,505766,506213,506660,507074,507495,507892,508252,508616,508951,509292,509606,509897,510220,510526,510834,511110,511368,511654,511887,512108,512312,512508,512716,512937,513133,513325,513507,513675,513868,514047,514239,514392,514564,514716,514833,
40020,275,3231,11633,25644,43679,63896,84700,105684,125906,145595,164005,181340,197699,212759,227076,240414,252897,264651,275637,285818,295239,304120,312585,320358,327589,334343,340651,346661,352475,357875,362942,367677,372228,376620,380773,384688,388442,391950,395153,398302,401184,403952,406565,409166,411625,413963,416176,418339,420364,422201,423994,425728,427404,429001,430472,431914,433272,434650,435915,437110,438286,439451,440538,441590,442576,443492,444408,445338,446153,446988,447820,448612,449342,450015,450637,451297,451956,452490,453064,453611,454128,454637,455107,455565,456007,456464,456927,457309,457753,458150,458532,458904,459267,459586,459883,460177,460485,460772,461030,461304,461582,461836,462085,462294,462502,462763,462980,463199,463384,463566,463755,463947,464122,464301,464472,464621,464777,464924,465079,
40030,117,1746,7343,17308,30794,46606,63730,81367,98653,115590,131793,147212,161649,175466,188565,200862,212414,223141,233104,242608,251566,259992,267864,275285,282181,288693,294854,300692,306141,311302,316106,320675,325048,329224,333153,336981,340514,343897,346989,349992,352903,355729,358276,360789,363201,365476,367721,369761,371813,373629,375373,377090,378746,380331,381858,383264,384636,385967,387250,388488,389647,390717,391789,392807,393774,394749,395665,396583,397388,398168,398937,399709,400412,401086,401743,402364,402965,403549,404111,404654,405220,405776,406297,406730,407185,407604,408023,408457,408836,409221,409575,409895,410239,410580,410892,411199,411495,411780,412073,412367,412620,412869,413101,413317,413557,413780,414015,414246,414445,414651,414822,414990,415171,415333,415500,415651,415816,415947,416072,
40040,40,871,4089,10648,20198,32059,45269,59180,73405,87609,101468,114554,127292,139417,151192,162284,172532,182045,191384,199994,208064,215853,223181,229956,236417,242573,248308,253876,259129,264058,268775,273083,277303,281204,285012,288601,292026,295110,298104,301035,303722,306363,308913,311264,313591,315740,317838,319793,321670,323430,325112,326772,328252,329794,331255,332639,333944,335249,336480,337600,338714,339778,340784,341802,342777,343691,344524,345385,346226,347017,347784,348497,349200,349861,350492,351086,351659,352228,352804,353340,353846,354375,354913,355375,355816,356199,356634,357018,357448,357807,358156,358531,358892,359239,359567,359861,360138,360445,360722,361002,361310,361585,361802,362008,362230,362442,362673,362885,363055,363244,363415,363599,363807,363960,364129,364286,364461,364615,364755,
40050,6,354,2037,5906,12083,20273,30093,40718,51869,63164,74431,85401,96102,106464,116427,125858,134965,143611,151880,159578,167071,174195,180835,187043,193057,198684,204006,209108,213977,218498,222800,226917,230843,234496,238031,241382,244567,247523,250407,253113,255643,258150,260506,262750,264875,266979,268978,270840,272685,274464,276028,277653,279251,280651,282029,283404,284687,285949,287120,288289,289352,290444,291438,292341,293256,294152,294997,295790,296569,297332,298065,298772,299392,300006,300621,301199,301817,302366,302935,303437,303919,304384,304849,305315,305726,306151,306567,306943,307353,307730,308107,308478,308834,309155,309422,309695,309971,310237,310521,310770,311027,311279,311493,311700,311921,312126,312346,312557,312745,312925,313116,313299,313471,313641,313801,313965,314115,314263,314404,
40060,6,144,874,2896,6459,11620,18223,25677,33827,42246,50982,59697,68323,76712,84913,92671,100272,107639,114644,121316,127562,133727,139493,144936,150152,155199,159921,164357,168529,172599,176545,180320,183846,187250,190476,193552,196448,199185,201758,204291,206654,209026,211179,213273,215272,217257,219168,220989,222697,224284,225868,227323,228708,230057,231350,232599,233803,234940,236124,237208,238183,239171,240178,241080,241921,242720,243547,244326,245055,245788,246495,247174,247863,248510,249116,249675,250231,250756,251314,251839,252305,252750,253187,253659,254090,254510,254886,255237,255586,255956,256330,256668,256968,257279,257576,257868,258175,258472,258724,259001,259246,259492,259737,259979,260201,260409,260613,260810,260989,261171,261342,261509,261676,261837,261977,262109,262269,262436,262575,
40070,1,31,319,1350,3267,6413,10538,15725,21617,27799,34214,40830,47603,54225,60737,67121,73522,79602,85539,91224,96632,101883,106829,111476,116042,120419,124574,128654,132407,136035,139542,142809,145966,149008,152004,154804,157514,160003,162364,164696,166941,169081,171166,173177,175072,176806,178540,180150,181810,183351,184720,186113,187415,188654,189906,191028,192213,193278,194295,195290,196237,197144,198053,198890,199710,200475,201300,202103,202810,203486,204141,204821,205421,206022,206592,207190,207732,208211,208692,209149,209599,210033,210463,210889,211294,211699,212074,212428,212801,213157,213468,213778,214095,214373,214673,214960,215248,215506,215762,216003,216234,216455,216657,216875,217071,217264,217471,217639,217816,218005,218163,218325,218471,218596,218740,218906,219047,219190,219308,
40080,0,7,95,483,1429,3010,5271,8279,11884,16008,20585,25265,30014,34906,39756,44580,49459,54177,58862,63443,67800,72072,76210,80206,84003,87707,91236,94598,97818,100913,103879,106755,109432,112101,114632,116982,119347,121510,123661,125715,127647,129543,131296,133004,134750,136323,137846,139260,140669,142005,143319,144567,145734,146836,147932,148992,150044,151076,152048,152994,153837,154681,155489,156289,157065,157829,158535,159179,159843,160478,161099,161682,162219,162758,163305,163849,164312,164814,165265,165745,166176,166598,166996,167404,167778,168158,168513,168825,169164,169494,169798,170070,170371,170649,170921,171184,171417,171640,171869,172109,172317,172520,172709,172920,173113,173287,173475,173653,173803,173964,174126,174299,174470,174622,174775,174899,175049,175173,175285,
40090,0,0,19,109,438,1054,2058,3427,5223,7444,10120,12882,15905,19066,22292,25557,28877,32308,35724,38915,42148,45405,48402,51262,54237,57032,59787,62399,64844,67403,69808,72120,74436,76582,78726,80649,82594,84424,86161,87889,89524,91094,92613,94143,95542,96925,98181,99341,100575,101749,102881,103933,105002,106051,107004,107903,108771,109644,110510,111336,112094,112883,113596,114266,114958,115578,116182,116785,117369,117934,118473,119003,119483,119961,120433,120891,121311,121745,122172,122553,122949,123334,123711,124057,124428,124769,125091,125420,125738,126058,126355,126642,126855,127080,127341,127556,127755,127955,128177,128374,128588,128782,128973,129128,129303,129482,129642,129791,129945,130089,130233,130374,130484,130615,130747,130855,130990,131088,131189,
40100,0,0,2,18,69,212,482,944,1599,2444,3523,4823,6224,7851,9617,11372,13200,15159,17067,18984,20936,22893,24802,26661,28552,30446,32280,34086,35887,37645,39376,41000,42609,44186,45705,47134,48441,49783,51067,52391,53653,54826,55977,57154,58221,59268,60323,61304,62248,63182,64048,64922,65738,66504,67252,67967,68698,69365,70007,70642,71291,71882,72487,73055,73607,74134,74630,75099,75568,76035,76496,76906,77318,77725,78082,78446,78817,79169,79508,79854,80162,80471,80762,81046,81311,81622,81889,82132,82389,82643,82892,83134,83345,83556,83774,83987,84178,84382,84546,84736,84899,85088,85226,85383,85542,85683,85837,85957,86089,86213,86346,86480,86602,86708,86812,86944,87044,87132,87239,
401154003,266447,460361,607902,720050,806781,876117,932392,978632,1018036,1051312,1079926,1104864,1126783,1145648,1162561,1177764,1191465,1203763,1214733,1224627,1233784,1242229,1250140,1257137,1263636,1269598,1275305,1280528,1285504,1290037,1294213,1298131,1301901,1305281,1308512,1311495,1314324,1316985,1319493,1321822,1324083,1326230,1328200,1330059,1331887,1333605,1335147,1336736,1338228,1339571,1340890,1342210,1343482,1344621,1345695,1346676,1347747,1348694,1349549,1350415,1351228,1351957,1352749,1353454,1354124,1354767,1355447,1356068,1356662,1357244,1357785,1358258,1358740,1359242,1359688,1360148,1360622,1361018,1361432,1361811,1362173,1362516,1362853,1363169,1363472,1363765,1364082,1364366,1364648,1364888,1365156,1365389,1365614,1365811,1366009,1366214,1366416,1366584,1366766,1366947,1367106,1367280,1367421,1367592,1367735,1367876,1368007,1368123,1368255,1368401,1368523,1368635,1368764,1368878,1368997,1369102,1369200,1369317,1369418,
401216745,137521,284523,410863,513512,596457,664375,720937,768325,808909,844040,874322,900284,923270,944059,962644,978907,993614,1006911,1018840,1029709,1039842,1048876,1057295,1065085,1072162,1078959,1085135,1090821,1096095,1101109,1105810,1110304,1114401,1118181,1121832,1125209,1128455,1131494,1134342,1137063,1139620,1142068,1144341,1146552,1148661,1150472,1152299,1154027,1155642,1157191,1158727,1160159,1161515,1162810,1164106,1165227,1166372,1167484,1168520,1169462,1170352,1171223,1172066,1172870,1173661,1174402,1175116,1175802,1176434,1177092,1177719,1178275,1178821,1179390,1179889,1180358,1180819,1181279,1181759,1182242,1182655,1183063,1183448,1183812,1184155,1184540,1184842,1185175,1185448,1185712,1186009,1186291,1186548,1186807,1187032,1187245,1187466,1187700,1187903,1188122,1188319,1188498,1188699,1188882,1189063,1189221,1189384,1189541,1189707,1189855,1189991,1190134,1190264,1190396,1190519,1190646,1190773,1190883,1190986,
40137492,87227,204556,314115,407259,485458,550738,605865,652650,692740,726996,757208,783865,807559,828583,847243,863826,879111,892935,905743,917092,927490,937085,945837,954006,961590,968680,975240,981225,986765,992095,996947,1001510,1005798,1009813,1013573,1017113,1020421,1023605,1026597,1029449,1032171,1034778,1037209,1039462,1041578,1043539,1045471,1047249,1049072,1050723,1052334,1053862,1055293,1056651,1057962,1059157,1060297,1061513,1062611,1063663,1064634,1065610,1066466,1067327,1068152,1068944,1069717,1070410,1071134,1071802,1072445,1073042,1073624,1074199,1074725,1075236,1075750,1076238,1076763,1077242,1077709,1078101,1078518,1078893,1079268,1079607,1079957,1080308,1080603,1080919,1081205,1081491,1081766,1082019,1082275,1082507,1082773,1083019,1083234,1083435,1083630,1083845,1084022,1084186,1084369,1084546,1084706,1084869,1085021,1085166,1085291,1085426,1085600,1085733,1085844,1085979,1086105,1086238,1086349,
40142528,47987,132862,221605,302523,373299,433734,485492,530461,569312,603298,633148,659966,683721,704779,723804,740691,756055,770104,783013,794603,805396,815310,824410,832673,840597,847874,854555,860745,866438,871962,877122,881899,886327,890531,894467,898148,901543,904834,907982,910952,913762,916383,918915,921314,923489,925617,927649,929590,931396,933145,934776,936333,937888,939304,940649,941939,943185,944399,945518,946591,947629,948666,949592,950510,951390,952237,953079,953889,954666,955356,956060,956687,957280,957875,958440,958993,959535,960066,960547,961047,961498,961944,962327,962732,963097,963461,963812,964142,964496,964826,965137,965491,965758,966048,966311,966575,966821,967102,967331,967565,967816,968022,968242,968433,968631,968842,969033,969193,969349,969508,969666,969830,969967,970116,970255,970401,970539,970669,970805,
4015619,21795,74776,140071,204198,263330,316132,362872,404271,440681,473045,501594,527119,549905,570689,589450,606109,621297,635460,648470,660460,671202,681080,690172,698696,706591,714067,720913,727375,733217,738835,744210,749150,753739,758073,762108,765817,769377,772813,775930,779094,782039,784862,787430,789990,792244,794482,796520,798520,800326,802108,803866,805583,807186,808706,810103,811476,812837,814096,815238,816379,817445,818480,819418,820396,821361,822249,823076,823897,824640,825395,826106,826789,827420,828051,828681,829244,829832,830326,830846,831376,831880,832372,832794,833199,833593,834005,834401,834765,835129,835493,835808,836152,836446,836725,837011,837287,837559,837831,838072,838335,838602,838825,839039,839245,839445,839628,839809,840003,840191,840374,840533,840695,840860,841016,841149,841295,841432,841558,841692,
4016250,13373,53075,105832,160923,213450,261575,304787,343244,377710,408357,435629,460145,482295,502432,520582,537175,552512,566411,579108,590694,601441,611449,620624,629088,637096,644477,651444,657888,663938,669598,674928,679811,684510,688836,692934,696823,700450,703933,707103,710210,713138,715895,718571,721087,723375,725575,727708,729755,731698,733566,735295,736942,738505,739972,741403,742820,744135,745396,746610,747753,748892,749986,751003,751987,752920,753776,754608,755424,756229,756991,757678,758381,759048,759676,760275,760906,761511,762039,762573,763160,763722,764200,764649,765111,765519,765935,766310,766656,767007,767367,767732,768048,768351,768662,768968,769247,769548,769813,770050,770280,770515,770733,770951,771164,771372,771573,771760,771946,772130,772316,772522,772678,772847,773009,773174,773337,773478,773634,773762,
401785,7314,34552,74608,119852,164859,207250,245834,281203,313142,342040,367938,391366,412550,431955,449308,465542,480227,493793,506166,517755,528300,538193,547367,555450,563104,570321,577306,583768,589801,595467,600669,605744,610526,615001,619182,623079,626816,630252,633474,636516,639473,642298,644927,647429,649755,651969,654044,656070,658092,659923,661615,663357,665047,666580,668014,669383,670699,671983,673262,674493,675658,676731,677767,678734,679660,680571,681472,682325,683132,683915,684675,685428,686133,686773,687406,688034,688572,689161,689727,690314,690813,691277,691749,692210,692650,693089,693476,693882,694243,694629,695012,695345,695661,695982,696296,696547,696819,697077,697338,697589,697827,698064,698261,698496,698700,698894,699097,699292,699486,699655,699829,699999,700157,700328,700486,700624,700764,700912,701032,
401819,3591,20715,49349,84375,120897,156874,190205,221478,250205,276509,300381,322119,342228,360164,376834,392258,406563,419581,431863,443115,453337,462712,471650,480023,487805,494992,501675,508018,513850,519478,524635,529417,534064,538502,542634,546524,550145,553566,556887,559912,562807,565601,568260,570812,573182,575458,577628,579746,581728,583620,585399,587114,588754,590286,591753,593164,594509,595815,597072,598282,599487,600582,601650,602681,603641,604541,605417,606278,607053,607894,608676,609400,610100,610785,611434,612052,612615,613187,613739,614302,614769,615245,615709,616172,616629,617057,617505,617919,618278,618638,618993,619344,619685,620026,620335,620628,620907,621209,621496,621721,621971,622209,622428,622643,622843,623046,623235,623404,623593,623763,623953,624118,624287,624442,624600,624739,624882,625059,625196,
40194,1539,10955,29698,54739,82725,111308,139038,165770,190695,213962,235557,255468,273615,290336,305839,320137,333321,345598,356938,367647,377255,386458,395088,403050,410508,417449,423948,430164,435995,441408,446515,451345,455842,460202,464174,467989,471472,474853,478031,481047,483876,486641,489340,491903,494264,496518,498697,500669,502630,504418,506132,507808,509454,510984,512469,513935,515317,516578,517867,519069,520221,521342,522349,523345,524336,525300,526274,527112,527955,528742,529551,530271,530995,531651,532262,532871,533410,533993,534517,535079,535545,536049,536532,537026,537478,537932,538310,538702,539088,539507,539866,540220,540560,540864,541167,541484,541783,542056,542348,542616,542858,543083,543318,543548,543777,544013,544230,544427,544601,544772,544952,545144,545320,545480,545651,545801,545935,546081,546201,
40201,785,6812,20438,39848,62878,87130,111438,134934,157251,178273,197900,216144,233220,248792,263450,276908,289532,301298,312263,322255,331757,340651,348814,356452,363587,370465,376798,382748,388160,393578,398482,403138,407595,411694,415478,419215,422771,426061,429216,432194,434962,437644,440264,442766,445121,447293,449415,451395,453397,455216,456988,458654,460227,461798,463302,464688,466028,467234,468452,469649,470794,471877,472932,473908,474861,475834,476721,477588,478401,479229,479961,480671,481390,482028,482682,483323,483948,484468,485064,485607,486098,486603,487054,487556,487976,488419,488876,489247,489644,490000,490373,490716,491086,491400,491710,492029,492303,492625,492903,493175,493423,493682,493911,494147,494359,494566,494768,494967,495162,495326,495517,495685,495858,496033,496199,496359,496478,496598,496728,
40211,374,3812,13111,27721,45684,65555,85999,106040,125604,144251,161827,178398,193822,208247,221856,234343,246044,257127,267438,276982,285948,294254,302099,309339,316195,322674,328760,334557,340052,345084,349909,354497,358717,362823,366651,370177,373588,376853,379919,382804,385527,388155,390650,393015,395334,397508,399627,401555,403474,405228,406975,408618,410202,411707,413164,414479,415838,417055,418272,419373,420511,421552,422598,423610,424508,425499,426403,427227,428070,428882,429568,430313,431022,431689,432314,432942,433550,434102,434658,435166,435625,436138,436607,437087,437541,437956,438399,438804,439196,439582,439965,440341,440682,440979,441299,441609,441893,442159,442441,442690,442917,443203,443469,443679,443881,444067,444275,444484,444675,444857,445035,445217,445378,445549,445711,445854,446009,446140,446270,
40220,137,2006,7849,17884,30990,46396,62572,79230,95408,111487,126722,141319,154972,167872,180062,191522,202249,212220,221869,230803,239177,247008,254510,261371,267881,274024,279838,285290,290410,295305,299848,304287,308226,312173,315809,319334,322693,325838,328747,331500,334210,336752,339323,341732,343952,346052,348086,350063,351957,353719,355400,357055,358595,360138,361550,362887,364169,365463,366644,367799,368922,370000,370934,371952,372860,373721,374584,375443,376282,377023,377738,378436,379139,379777,380414,381026,381628,382201,382751,383284,383809,384264,384737,385165,385590,386015,386421,386823,387185,387554,387922,388254,388593,388922,389216,389506,389779,390041,390320,390579,390820,391029,391247,391483,391721,391907,392121,392301,392494,392685,392846,393025,393203,393362,393521,393671,393790,393924,394056,
40230,43,898,4131,10539,19575,30891,43131,56231,69457,82508,95099,107505,119263,130401,140988,151147,160512,169621,177978,185918,193501,200751,207478,213890,219949,225622,230999,236166,240974,245635,250010,254017,257955,261599,265095,268489,271591,274595,277448,280092,282576,285025,287286,289548,291696,293776,295710,297614,299404,301125,302858,304494,306054,307444,308837,310089,311343,312549,313715,314821,315921,316913,317884,318839,319767,320606,321449,322251,322988,323703,324409,325097,325747,326383,326957,327553,328143,328689,329234,329749,330229,330681,331159,331600,332039,332461,332864,333267,333652,334020,334346,334690,335032,335351,335630,335931,336234,336515,336778,337033,337257,337494,337711,337923,338137,338353,338571,338756,338948,339096,339262,339438,339612,339765,339920,340074,340223,340352,340491,
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40600,85,1370,5245,12312,22020,33468,46095,58977,71826,84446,96625,108408,119669,130098,140123,149639,158584,166889,174687,182076,189093,195671,201996,208025,213648,218953,223954,228615,233149,237308,241264,245079,248606,251993,255339,258336,261214,263997,266642,269030,271334,273536,275739,277897,279881,281778,283590,285361,287014,288587,289997,291481,292912,294204,295427,296645,297839,299007,300080,301122,302119,303038,303935,304844,305699,306487,307227,308030,308728,309425,310093,310710,311304,311901,312472,313026,313543,314065,314547,315027,315482,315960,316386,316793,317217,317630,318014,318371,318716,319066,319397,319713,320029,320310,320602,320893,321151,321386,321628,321846,322076,322299,322517,322726,322947,323121,323313,323521,323705,323867,324025,324213,324364,324535,324676,324818,324971,325113,325243,
40610,20,512,2555,6876,13167,20901,29955,39661,49589,59586,69493,78971,88207,97145,105626,113833,121636,128970,135999,142584,148938,154871,160388,165789,170957,175809,180323,184673,188710,192648,196377,199929,203217,206367,209433,212298,215035,217618,220120,222461,224655,226805,228872,230827,232686,234550,236211,237828,239429,240975,242344,243662,244995,246272,247468,248681,249810,250872,251906,252820,253738,254665,255541,256409,257192,257999,258729,259418,260108,260763,261411,262044,262653,263222,263780,264278,264775,265296,265734,266210,266669,267104,267512,267924,268306,268683,269049,269422,269794,270141,270451,270761,271073,271340,271643,271901,272187,272462,272688,272920,273131,273379,273614,273814,273990,274186,274373,274548,274737,274902,275062,275230,275392,275543,275678,275805,275955,276088,276226,
40620,6,189,987,3030,6510,11265,17004,23532,30426,37682,45008,52386,59486,66594,73313,79977,86194,92337,98114,103724,109009,114115,119063,123722,128088,132307,136330,140198,143867,147336,150553,153732,156642,159471,162122,164794,167273,169599,171840,173971,175958,177826,179723,181553,183291,184963,186564,188054,189559,190951,192342,193605,194854,196003,197048,198187,199154,200116,201075,201985,202873,203738,204557,205352,206111,206878,207594,208282,208958,209602,210231,210792,211361,211923,212445,212937,213434,213886,214330,214730,215174,215610,215962,216351,216685,217026,217372,217697,218026,218364,218645,218955,219255,219503,219763,220008,220245,220464,220680,220887,221087,221301,221502,221707,221914,222102,222299,222478,222661,222823,222985,223131,223254,223388,223527,223660,223795,223920,224065,
40630,1,25,241,946,2298,4485,7508,11151,15337,19828,24580,29388,34416,39458,44373,49194,54006,58729,63246,67589,71813,75820,79764,83516,87001,90555,93859,96923,99832,102758,105542,108238,110828,113188,115533,117756,119975,121959,123945,125818,127573,129336,131049,132616,134165,135598,136964,138307,139648,140887,142037,143122,144180,145257,146250,147242,148170,149065,149939,150772,151552,152304,153092,153833,154512,155183,155828,156464,157067,157614,158160,158689,159178,159718,160219,160626,161038,161496,161924,162324,162695,163083,163469,163827,164140,164464,164774,165093,165397,165668,165939,166205,166476,166739,167003,167257,167482,167675,167895,168095,168297,168472,168643,168829,168982,169175,169349,169519,169693,169824,169981,170112,170240,170363,170493,170629,170742,170853,170965,
40640,0,1,21,144,461,1089,2117,3563,5396,7407,9803,12384,15019,17913,20725,23574,26517,29438,32418,35297,38101,40806,43471,45993,48511,50924,53223,55526,57813,59919,61970,64013,65964,67816,69566,71318,72940,74524,76080,77560,78986,80406,81691,83024,84221,85405,86560,87625,88687,89734,90642,91589,92500,93400,94233,95029,95763,96488,97210,97898,98564,99194,99779,100401,100995,101534,102065,102602,103069,103571,104029,104473,104911,105354,105738,106144,106559,106927,107291,107652,107979,108285,108585,108902,109206,109535,109833,110102,110368,110637,110863,111121,111364,111576,111787,112002,112175,112383,112589,112780,112950,113126,113295,113463,113604,113777,113936,114071,114196,114330,114464,114582,114711,114835,114974,115080,115183,115293,115395,
40651541,64188,221629,405936,583499,742070,881407,1002651,1108445,1201539,1283095,1355830,1420530,1478863,1531847,1579812,1623348,1662603,1698977,1732567,1763475,1792019,1818278,1842889,1865962,1887656,1907977,1926979,1944804,1961728,1977854,1993068,2007272,2020945,2033629,2045927,2057443,2068388,2078925,2089123,2098895,2108232,2117161,2125698,2133995,2141803,2149338,2156677,2163662,2170359,2176778,2183056,2189038,2194885,2200451,2205919,2211129,2216145,2221102,2225974,2230578,2234972,2239290,2243509,2247607,2251629,2255441,2259167,2262691,2266271,2269680,2272993,2276276,2279573,2282673,2285720,2288740,2291601,2294515,2297252,2299887,2302483,2305055,2307574,2310042,2312344,2314762,2316986,2319261,2321450,2323597,2325653,2327734,2329790,2331708,2333669,2335529,2337388,2339240,2340998,2342689,2344386,2346035,2347631,2349225,2350829,2352383,2353869,2355323,2356828,2358230,2359675,2361041,2362415,2363714,2365055,2366369,2367631,2368842,2370080,
406615,7620,55023,144498,256492,374647,491443,602595,705227,799786,886864,967050,1039888,1106749,1168552,1225320,1278509,1327549,1373020,1415032,1454971,1491775,1526291,1559066,1589556,1618140,1645004,1670469,1694697,1717572,1739537,1760448,1779957,1798637,1816338,1833280,1849570,1865063,1879901,1894219,1907865,1921004,1933314,1945195,1956688,1967898,1978588,1988993,1999088,2008954,2018207,2027336,2036004,2044376,2052429,2060275,2067869,2075260,2082489,2089435,2095943,2102498,2108866,2115044,2120952,2126709,2132473,2138043,2143390,2148582,2153648,2158558,2163465,2168003,2172497,2176904,2181294,2185450,2189595,2193644,2197507,2201374,2205125,2208840,2212497,2216117,2219568,2222984,2226306,2229550,2232653,2235726,2238684,2241705,2244602,2247426,2250206,2252906,2255684,2258223,2260860,2263343,2265826,2268343,2270754,2273039,2275328,2277562,2279829,2282088,2284191,2286341,2288576,2290631,2292574,2294622,2296509,2298337,2300227,2302090,
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40680,55,2222,13344,39073,79112,130593,189841,253299,318950,385610,451376,515791,577830,637664,695280,750040,802596,852333,900875,946606,990293,1031872,1071680,1109549,1145781,1180551,1213912,1245858,1276384,1305384,1333330,1359933,1385692,1410158,1433712,1456542,1478470,1499593,1519830,1539527,1558682,1576859,1594472,1611455,1628022,1643937,1659296,1674153,1688575,1702758,1716566,1729810,1742665,1755298,1767436,1779141,1790449,1801511,1812344,1822732,1832981,1842808,1852411,1861841,1870929,1879977,1888603,1897060,1905332,1913373,1921201,1928835,1936299,1943710,1950725,1957606,1964556,1971208,1977828,1984081,1990318,1996409,2002422,2008058,2013779,2019398,2024936,2030152,2035370,2040541,2045631,2050594,2055534,2060308,2064854,2069487,2073905,2078229,2082489,2086698,2090842,2094961,2098942,2102914,2106944,2110813,2114532,2118175,2121805,2125287,2128813,2132251,2135745,2139059,2142364,2145676,2148883,2152029,2155066,
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40700,0,4,130,1028,3869,9999,20293,34941,54178,77137,103790,133235,164811,198372,233156,268944,305061,341509,377887,414403,450584,486806,521890,556575,591139,624768,657523,689703,721226,752019,781867,811425,840328,868011,894927,921501,947343,972711,997111,1020984,1044162,1066948,1088979,1110612,1131726,1152343,1172243,1191795,1210559,1229327,1247534,1265237,1282625,1299379,1315859,1332131,1347779,1363095,1378157,1392698,1407207,1421180,1434947,1448355,1461636,1474209,1486925,1499243,1511229,1523050,1534596,1545958,1557072,1567664,1578364,1588916,1599100,1609044,1618831,1628567,1637993,1647326,1656301,1665202,1673997,1682491,1691058,1699363,1707381,1715384,1723174,1730986,1738696,1746224,1753667,1760891,1768020,1774922,1781718,1788354,1795005,1801518,1807928,1814207,1820365,1826464,1832378,1838185,1844020,1849740,1855410,1861026,1866508,1871981,1877126,1882453,1887530,1892725,1897773,
40710,0,0,3,92,522,1832,4723,9648,17125,27261,39927,55254,73264,92945,114903,138221,163157,188857,215731,243132,270828,299169,327644,356535,385424,414124,442639,470863,499025,526739,554036,580820,607336,633640,659340,684625,709484,733950,758225,782016,804970,827843,849988,871934,893197,914292,934934,955373,975089,994491,1013287,1031954,1050450,1068398,1085953,1103152,1120023,1136729,1153065,1169032,1184528,1199888,1214942,1229388,1243902,1258304,1272179,1285780,1299112,1312510,1325211,1337899,1350339,1362683,1374476,1386181,1397858,1409101,1420235,1431290,1442153,1452707,1462999,1473174,1483253,1493199,1502985,1512438,1521808,1530967,1540023,1549100,1557784,1566311,1574928,1583404,1591675,1599646,1607676,1615680,1623526,1631205,1638856,1646425,1653705,1660889,1667838,1674899,1681652,1688592,1695260,1701738,1708162,1714622,1720733,1726992,1733108,1739135,1745101,
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40730,0,0,0,0,0,3,10,54,152,402,860,1559,2645,4165,6307,9139,12458,16626,21538,27261,33680,40823,48838,57388,66716,76782,87622,98674,110498,122868,135340,148627,162069,175965,189878,203998,218511,233291,248086,263205,278488,293938,309167,324672,340294,356026,371621,387190,402690,418362,433850,449272,464917,480316,495416,510721,525921,541068,556088,570761,585567,600386,614792,629153,643374,657591,671807,685581,699351,712985,726558,739806,753014,766007,778918,791820,804593,817334,829824,842225,854805,866878,878910,890774,902384,913822,925331,936701,947850,959175,970333,981115,991868,1002505,1013070,1023467,1033810,1043883,1054075,1064094,1074015,1083589,1093217,1102778,1112335,1121476,1130540,1139734,1148771,1157730,1166724,1175582,1184196,1192648,1201113,1209456,1217702,1225998,1234110,
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40910,0,0,0,0,5,22,84,286,775,1645,3089,5161,8084,11816,16411,22158,28760,36287,44568,53612,63637,74417,85914,98164,110927,124278,137951,152009,166382,181164,196128,211304,227040,242679,258361,274218,290193,306019,321976,337838,353756,369615,385709,401524,417327,433015,448467,464197,479460,494778,509764,524629,539306,554105,568769,583140,597448,611607,625455,639324,653162,666641,680033,693087,705963,718728,731185,743667,755932,768089,780079,791862,803799,815422,826932,838262,849502,860482,871507,882377,893231,903942,914262,924719,934817,944859,954615,964340,974031,983663,993169,1002380,1011471,1020572,1029420,1038348,1047191,1055876,1064244,1072751,1081128,1089508,1097666,1105655,1113695,1121466,1129325,1137039,1144675,1152205,1159770,1167216,1174604,1181716,1188856,1195907,1202839,1209647,1216439,
40920,0,0,0,0,0,2,9,26,106,252,561,1103,1956,3226,4920,7101,9847,13141,16834,21382,26529,32240,38653,45657,53082,61049,69511,78523,87836,97396,107607,118174,129192,140320,151546,163024,174875,186897,198939,211218,223343,235729,248316,260891,273620,286156,298991,311740,324602,337324,350278,363023,375748,388481,401041,413520,425989,438568,450965,463285,475602,487619,499638,511451,523564,535351,546981,558636,570235,581596,593064,604252,615496,626531,637477,648315,659143,669550,680013,690189,700421,710807,720872,730896,741030,750877,760609,770168,779841,789361,798701,807971,817060,826213,835162,844165,852876,861470,870189,878786,887195,895544,904008,912320,920451,928551,936561,944356,952075,959795,967395,974843,982331,989779,997031,1004370,1011658,1018896,1026016,
40930,0,0,0,0,0,0,1,3,10,34,77,169,338,590,958,1508,2253,3239,4510,6085,7970,10227,12860,15885,19219,22826,26934,31219,35999,41146,46811,52544,58767,65161,72028,79220,86695,94327,102145,110153,118395,126832,135431,144313,152981,162167,171128,180307,189701,199154,208930,218535,228175,237911,247729,257562,267348,277197,287171,297114,306931,316740,326537,336427,346354,356447,366447,376234,386166,396063,405812,415439,425072,434663,444330,453870,463403,472725,482102,491309,500452,509635,518872,527923,536973,545942,554834,563616,572528,581277,589928,598409,607078,615690,624322,632741,641119,649370,657712,665994,674084,682138,690030,697995,705770,713575,721343,728946,736496,744055,751607,759028,766332,773799,781042,788188,795400,802451,809422,
40940,0,0,0,0,0,0,0,0,0,0,1,6,16,45,89,158,256,435,678,979,1381,1917,2564,3360,4317,5462,6842,8346,10099,12068,14249,16570,19074,21879,25071,28368,31676,35312,39072,43099,47379,51890,56508,61231,66090,71258,76611,82077,87666,93494,99285,105306,111363,117719,123971,130394,136885,143466,150280,157165,164154,171146,178236,185210,192324,199465,206586,213794,221162,228446,235891,243110,250387,257708,264883,272293,279643,287124,294535,301893,309284,316705,324002,331365,338854,346094,353452,360704,367986,375400,382678,389896,397125,404168,411353,418698,425830,432897,440211,447453,454430,461478,468426,475534,482514,489497,496404,503144,510059,516850,523665,530360,536914,543550,550310,556828,563328,569935,576431,
40950,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,10,22,36,59,99,146,228,330,472,672,894,1194,1556,1967,2457,3028,3637,4403,5243,6150,7160,8271,9532,10883,12368,13963,15715,17522,19466,21522,23712,25942,28362,30884,33598,36303,39123,42010,45078,48201,51457,54737,58038,61581,65064,68790,72554,76354,80321,84430,88531,92735,97030,101331,105737,110030,114557,119275,123878,128533,133174,137895,142652,147648,152502,157335,162364,167268,172301,177301,182163,187194,192176,197302,202424,207547,212791,218055,223160,228391,233652,238853,244133,249309,254600,259954,265371,270662,275932,281150,286415,291669,296971,302229,307418,312641,317864,323084,328422,333742,339137,344289,349434,
40960,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,6,8,11,18,27,38,56,88,113,162,210,274,347,441,558,702,849,1036,1240,1483,1778,2072,2464,2905,3333,3742,4278,4866,5479,6158,6915,7706,8514,9403,10368,11336,12383,13455,14625,15784,17023,18347,19691,21124,22534,24022,25620,27254,28939,30703,32501,34447,36333,38267,40325,42373,44471,46595,48709,50954,53266,55696,58089,60475,62929,65433,67973,70602,73256,75932,78671,81458,84304,87106,90007,92891,95667,98593,101534,104531,107535,110609,113735,116902,119987,123084,126271,129481,132675,135849,139094,142356,145656,148854,152198,155548,158861,162249,
40970,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,3,4,5,10,15,21,39,51,73,92,120,154,188,223,271,318,380,440,526,622,727,854,1005,1148,1303,1488,1690,1899,2136,2381,2654,2950,3232,3571,3900,4336,4738,5142,5616,6088,6585,7118,7653,8205,8780,9406,10117,10807,11525,12264,13029,13821,14689,15467,16290,17199,18182,19124,20135,21155,22248,23327,24432,25538,26741,27948,29166,30413,31674,32993,34336,35673,37045,38471,39915,41343,42812,44288,45835,47355,48884,50464,52104,53698,55296,56961,58617,60315,62022,
40980,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,4,7,13,17,22,26,33,47,54,59,74,83,97,112,139,157,184,226,255,286,329,360,405,464,528,581,648,720,804,887,971,1062,1170,1283,1390,1537,1695,1855,2014,2166,2344,2530,2727,2936,3173,3396,3599,3839,4110,4366,4634,4912,5190,5521,5840,6189,6499,6855,7220,7642,8035,8397,8803,9210,9674,10138,10602,11078,11549,12053,12572,13096,13615,14164,14730,
40990,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,3,5,6,7,9,11,14,16,20,21,26,27,31,36,43,47,51,56,66,78,89,103,118,130,143,156,175,191,215,230,249,278,298,321,354,389,413,451,495,530,570,627,672,728,777,825,879,934,993,1061,1139,1202,1292,1369,1454,1537,
41000,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,5,5,6,7,7,7,7,7,9,10,10,12,15,16,16,17,19,24,27,29,34,36,37,37,
41012703,81208,251493,438560,611962,763604,895376,1009490,1108255,1194647,1270578,1337778,1397731,1451129,1499776,1543905,1583922,1620144,1653744,1685219,1713869,1740143,1764774,1788066,1809374,1829586,1848311,1866297,1882817,1898634,1913657,1927960,1941217,1953900,1966002,1977639,1988653,1999034,2009034,2018741,2027931,2036841,2045223,2053182,2061173,2068613,2075781,2082667,2089422,2095916,2102151,2108186,2113993,2119556,2124995,2130319,2135370,2140401,2145278,2149936,2154472,2158824,2163054,2167117,2171196,2175098,2178940,2182638,2186207,2189604,2193026,2196369,2199593,2202757,2205849,2208851,2211812,2214704,2217535,2220282,2222994,2225639,2228198,2230705,2233122,2235516,2237904,2240239,2242505,2244796,2247019,2249199,2251327,2253379,2255487,2257392,2259347,2261215,2263046,2264789,2266605,2268379,2270103,2271800,2273510,2275173,2276821,2278388,2280003,2281477,2282988,2284477,2285889,2287347,2288755,2290142,2291539,2292929,2294222,2295534,
410279,13236,75251,177666,296895,417167,532022,638121,735741,824797,906073,979719,1047081,1108480,1164712,1216563,1264452,1308388,1349693,1387994,1423901,1457021,1488272,1517593,1545235,1571021,1595283,1618102,1639789,1660287,1680063,1698453,1716321,1733392,1749436,1764715,1779280,1793357,1806817,1819674,1832116,1844074,1855539,1866499,1877029,1887074,1896931,1906722,1915728,1924674,1933233,1941605,1949722,1957426,1964884,1972188,1979160,1986088,1992867,1999444,2005669,2011822,2017706,2023620,2029242,2034799,2040070,2045354,2050334,2055197,2059977,2064544,2069147,2073568,2077885,2082140,2086111,2090167,2094130,2097963,2101721,2105364,2108858,2112322,2115911,2119322,2122581,2125898,2129094,2132233,2135385,2138335,2141246,2144027,2146900,2149764,2152451,2155186,2157732,2160319,2162861,2165251,2167651,2170139,2172483,2174796,2177008,2179236,2181460,2183592,2185650,2187815,2189853,2191857,2193820,2195863,2197796,2199724,2201702,2203601,
41035,2845,26882,82818,161192,250353,342734,433884,521930,604511,681876,754613,821882,884691,942270,996635,1047464,1095088,1139556,1181273,1220029,1256788,1291134,1323699,1354300,1383444,1410882,1437054,1461584,1484994,1507229,1528808,1549059,1568737,1587370,1605187,1622496,1639003,1654806,1670005,1684540,1698509,1712158,1725341,1737562,1749570,1761310,1772441,1783522,1794111,1804191,1814012,1823421,1832873,1841966,1850753,1859247,1867529,1875355,1883126,1890565,1897933,1905176,1912019,1918795,1925284,1931559,1937825,1943877,1949891,1955639,1961260,1966694,1972060,1977187,1982193,1987130,1992097,1996902,2001601,2006208,2010751,2015170,2019482,2023670,2027739,2031703,2035664,2039681,2043558,2047202,2051013,2054757,2058331,2061727,2065095,2068351,2071664,2074900,2078127,2081229,2084155,2087277,2090090,2092912,2095744,2098524,2101272,2103934,2106492,2109038,2111598,2114106,2116562,2119073,2121477,2123910,2126328,2128636,2130933,
41040,268,5541,25481,63133,115038,176007,241742,310074,377807,444454,509043,570797,629912,685485,738363,788620,836193,881981,925356,966256,1005207,1042037,1077510,1110846,1142372,1172815,1201788,1229664,1255703,1281193,1305128,1328405,1351191,1372684,1393221,1412932,1431930,1450198,1467867,1484855,1501195,1517028,1532351,1547107,1561378,1575214,1588530,1601514,1613920,1626076,1638054,1649476,1660509,1671241,1681721,1691863,1701747,1711258,1720743,1729940,1738755,1747409,1755841,1764033,1772075,1779823,1787420,1794914,1802133,1809419,1816271,1822954,1829538,1835904,1842123,1848169,1854238,1860064,1865895,1871450,1877042,1882464,1887787,1892939,1898149,1903173,1908153,1912851,1917567,1922207,1926801,1931238,1935570,1939862,1943988,1948115,1952166,1956183,1960093,1964026,1967887,1971628,1975286,1978851,1982471,1985965,1989347,1992681,1996002,1999232,2002441,2005630,2008782,2011887,2014912,2017775,2020734,2023539,2026397,
41050,12,403,3691,13401,31678,58407,92149,131544,174608,219943,266521,313609,360670,407044,452640,496908,539891,581304,621424,660912,698749,735382,770645,804241,837002,868339,898788,927920,956249,983542,1009521,1034707,1059470,1083447,1106157,1128152,1149496,1170041,1190209,1209565,1228276,1246282,1264072,1281267,1297780,1313788,1329631,1344748,1359603,1374072,1387936,1401389,1414624,1427329,1440105,1452245,1463950,1475352,1486808,1497655,1508398,1518848,1529038,1539032,1548858,1558451,1567707,1576917,1585873,1594675,1603237,1611638,1619711,1627685,1635535,1643201,1650844,1658090,1665247,1672322,1679348,1686240,1692827,1699349,1705755,1712072,1718274,1724298,1730280,1736022,1741822,1747571,1753138,1758532,1763851,1769061,1774203,1779359,1784284,1789246,1794047,1798910,1803641,1808308,1812765,1817200,1821576,1826015,1830188,1834308,1838405,1842556,1846536,1850481,1854340,1858121,1862021,1865838,1869567,
41060,0,56,855,4143,11903,25204,44234,68197,96643,128652,162850,199026,235717,273703,311627,349789,387471,424543,460999,496981,531584,565925,599196,631371,662762,693398,723048,751870,779796,806917,833429,858856,883594,907619,930963,953576,975602,997178,1017629,1037884,1057628,1076703,1095189,1113202,1130857,1148016,1164532,1180812,1196502,1211809,1226697,1241115,1255468,1269220,1282626,1295642,1308627,1321370,1333626,1345602,1357377,1368924,1380069,1391208,1402114,1412510,1422756,1432747,1442599,1452210,1461521,1470733,1479661,1488410,1496961,1505533,1513795,1521985,1529947,1537790,1545522,1553231,1560688,1567922,1575037,1582146,1589095,1595885,1602474,1608924,1615359,1621817,1627974,1633977,1639948,1645893,1651758,1657643,1663278,1668783,1674259,1679625,1684849,1690174,1695178,1700209,1705253,1710250,1714981,1719817,1724505,1729063,1733690,1738059,1742497,1746866,1751132,1755297,1759449,
41070,0,5,120,784,3008,7786,15926,27695,42765,61275,82668,106249,131935,159144,187001,215704,245202,275068,305026,334908,364269,393855,422753,451381,479643,507542,534696,561465,587629,613355,638499,662843,686847,710174,733182,755791,777767,799070,819612,839837,859735,879040,897897,916432,934264,951931,969209,986112,1002716,1018716,1034242,1049695,1064699,1079504,1093836,1107723,1121411,1134633,1147698,1160610,1173075,1185398,1197348,1209370,1220859,1232192,1243198,1254002,1264930,1275496,1285914,1296019,1305974,1315752,1325289,1334730,1343882,1352932,1361908,1370552,1379065,1387415,1395678,1403803,1411704,1419514,1427356,1435007,1442327,1449679,1456843,1463896,1470746,1477630,1484451,1491070,1497631,1504012,1510364,1516591,1522764,1528810,1534805,1540696,1546536,1552208,1557956,1563688,1569096,1574517,1579914,1585158,1590250,1595375,1600433,1605367,1610207,1614965,1619734,
41080,0,0,7,82,404,1485,3730,7671,13380,21137,31186,43134,56882,72309,89357,107654,126967,147323,168506,189917,211986,234467,256834,279550,302241,324897,347516,370204,392790,414754,436749,458481,479753,500863,521667,542329,562477,582387,601801,621028,639879,658706,676563,694511,712010,728936,745763,762428,778931,794870,810340,825786,840846,855851,870439,884878,898975,912811,926536,939801,952959,965633,978286,990708,1003007,1014838,1026376,1037998,1049334,1060543,1071640,1082385,1093030,1103476,1113688,1123633,1133636,1143453,1153087,1162556,1171816,1180891,1189926,1198886,1207550,1216067,1224638,1232898,1241012,1248971,1256787,1264567,1272258,1279873,1287433,1294739,1302013,1309084,1316187,1323103,1330148,1336853,1343610,1350082,1356596,1363072,1369372,1375593,1381814,1387843,1393749,1399691,1405534,1411291,1416939,1422677,1428241,1433761,1439156,
41090,0,0,0,3,19,118,421,1058,2255,4211,7043,10968,16062,22046,29427,37605,46979,57426,68927,81060,93798,107369,121303,135923,150996,166538,182591,198662,214735,230832,247263,263663,280166,296777,313307,329917,346432,362874,379226,395373,411565,427526,443303,458959,474524,489794,505117,520032,534819,549367,563943,578278,592410,606313,620221,634125,647545,660804,673797,686713,699384,711961,724500,736757,748713,760296,771964,783349,794866,806254,817423,828175,838872,849427,860051,870254,880586,890506,900461,910107,919825,929334,938653,947883,957081,966039,974975,983851,992646,1001202,1009591,1017848,1026038,1034241,1042179,1050236,1057985,1065632,1073264,1080860,1088360,1095569,1102789,1109851,1116823,1123791,1130749,1137512,1144284,1150902,1157549,1164070,1170588,1177084,1183469,1189727,1195974,1202050,1208163,
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41310,0,0,0,0,0,0,0,0,0,3,11,27,52,98,196,315,510,768,1126,1627,2283,2988,3909,4965,6184,7612,9250,11060,13153,15345,17768,20360,23156,26201,29296,32701,36254,39869,43826,47854,52070,56298,60775,65323,70111,74947,80033,85136,90331,95723,101094,106498,112073,117706,123363,129046,134806,140593,146308,152217,158176,164128,170115,176162,182215,188218,194400,200699,206819,213003,219100,225231,231466,237456,243642,249762,255973,262264,268380,274675,280826,286945,293107,299195,305271,311336,317365,323431,329396,335295,341161,346911,352681,358450,364303,370033,375804,381613,387316,392934,398658,404345,409973,415537,421054,426471,431922,437306,442670,448080,453407,458651,463958,469365,474637,479957,484974,490117,495258,
41320,0,0,0,0,0,0,0,0,0,0,0,0,0,3,7,20,36,50,82,153,237,338,469,671,916,1207,1546,1973,2456,3017,3688,4424,5247,6132,7138,8280,9539,10848,12276,13803,15402,17077,18954,20878,22878,24946,27214,29588,31929,34456,37079,39717,42446,45189,48101,51007,53986,57139,60313,63550,66968,70378,73886,77362,80925,84597,88289,92048,95913,99696,103533,107409,111282,115280,119217,123145,127092,131197,135376,139469,143638,147690,151837,156020,160175,164507,168659,172799,177099,181324,185529,189690,193881,198200,202486,206708,210988,215238,219620,223970,228155,232479,236826,241127,245424,249663,253945,258181,262380,266662,270821,275033,279313,283628,287803,291991,296250,300529,304576,
41330,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,4,7,17,28,46,71,90,128,168,225,303,394,518,653,832,1016,1232,1508,1812,2119,2494,2926,3366,3902,4488,5062,5763,6450,7227,8020,8911,9809,10768,11788,12856,14037,15210,16458,17742,19014,20359,21779,23301,24864,26533,28190,29911,31655,33483,35377,37333,39236,41246,43188,45256,47433,49605,51796,54118,56405,58703,61069,63444,65814,68240,70796,73201,75747,78355,80826,83371,86024,88727,91358,94119,96854,99458,102254,104913,107697,110541,113282,116012,118916,121774,124579,127537,130377,133220,136151,138991,141944,144789,147660,150593,153661,156578,159573,162611,165560,168705,
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41360,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,4,5,7,8,9,12,13,15,18,25,27,29,39,46,50,60,65,73,80,94,105,122,138,150,161,176,195,217,231,254,277,300,315,343,371,404,448,489,525,562,606,650,685,736,789,836,885,936,1002,1072,1134,1193,1255,1334,1413,
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41420,5,268,2538,9695,23268,43947,70591,101971,136993,174018,212645,252304,291952,331787,370946,409449,446746,483229,518634,553251,587017,619444,650771,680882,710011,738174,765434,791860,817228,841675,865203,888605,910932,932267,953074,973414,993040,1011899,1030385,1048439,1065755,1082646,1099130,1114911,1130283,1145451,1160082,1174405,1188433,1201893,1215117,1228095,1240495,1252526,1264301,1275784,1287075,1298081,1308834,1319389,1329640,1339595,1349179,1358656,1367981,1377134,1385957,1394701,1403280,1411710,1419898,1428106,1436177,1443974,1451440,1458989,1466398,1473339,1480398,1487251,1494010,1500521,1507111,1513436,1519692,1525637,1531693,1537682,1543474,1549314,1554876,1560479,1566062,1571540,1576811,1582113,1587303,1592243,1597025,1601956,1606840,1611492,1616247,1620822,1625254,1629644,1634084,1638448,1642702,1646892,1651078,1655164,1659124,1663208,1667076,1670927,1674678,1678469,1682081,
41430,0,50,536,2682,7986,17487,31415,49740,71540,96197,123544,152369,182212,213081,244630,276041,307436,338633,369381,399553,429085,458192,487039,514962,542069,568486,594395,619476,644142,667959,691371,713995,735966,757744,778574,798967,818667,837963,856194,874542,892285,909638,926504,942871,958847,974292,989432,1004346,1018706,1032904,1046631,1059972,1073156,1085941,1098292,1110570,1122600,1134200,1145563,1156879,1167817,1178475,1189031,1199390,1209339,1219140,1228792,1238269,1247361,1256501,1265489,1274175,1282805,1291243,1299486,1307650,1315531,1323346,1330958,1338465,1345815,1353103,1360278,1367438,1374140,1380998,1387681,1394135,1400538,1406839,1412982,1419227,1425259,1431078,1436887,1442650,1448290,1453858,1459379,1464792,1470053,1475294,1480517,1485566,1490718,1495741,1500616,1505433,1510171,1514722,1519415,1524127,1528703,1533033,1537459,1541733,1545999,1550159,1554310,
41440,0,4,57,418,1745,4736,10241,18270,29019,42297,58060,75685,95170,115694,137514,159954,183116,206771,231086,255269,279569,303803,327877,351546,374869,398180,421021,443406,465525,487227,508334,529460,549982,570177,589753,608971,628041,646454,664474,682059,699223,716069,732556,748890,764511,779992,795113,809794,824346,838701,852673,866294,879509,892732,905699,918328,930505,942540,954411,965970,977473,988792,999885,1010555,1021501,1031933,1042031,1051945,1061714,1071358,1080675,1089850,1098928,1107859,1116647,1125411,1134056,1142536,1150790,1158882,1166800,1174633,1182277,1189728,1197238,1204687,1211977,1218997,1225970,1232899,1239741,1246446,1253204,1259843,1266276,1272548,1278671,1284633,1290439,1296314,1302138,1308128,1313934,1319587,1325078,1330513,1335881,1341174,1346374,1351629,1356846,1361919,1366945,1371836,1376610,1381300,1386017,1390677,1395223,
41450,0,0,3,33,190,716,1984,4221,7890,12841,19332,27428,36995,47857,59913,72756,86764,101558,117118,133415,150057,166980,184330,201759,219366,236986,254934,272750,290562,308249,325798,343401,360720,377853,394929,411803,428263,444744,460942,476818,492519,508052,523145,538375,553017,567325,581877,595956,609954,623735,637167,650405,663475,676237,688763,701248,713416,725300,736946,748440,759798,771013,782002,793018,803737,814206,824376,834419,844519,854271,864136,873603,883001,892293,901347,910173,919044,927765,936286,944806,953389,961489,969571,977577,985368,993155,1000836,1008227,1015630,1022961,1030244,1037283,1044238,1051189,1057979,1064646,1071191,1077890,1084328,1090667,1097002,1103313,1109462,1115648,1121483,1127341,1133250,1139006,1144815,1150489,1156049,1161636,1167063,1172455,1177653,1182920,1188083,1193175,1198186,
41460,0,0,0,2,21,148,483,1192,2517,4652,7696,11657,16603,22519,29533,37491,46207,55942,66484,77552,89470,101793,114525,127648,141060,154656,168651,182956,197253,211762,226221,240688,254985,269341,283861,297999,312432,326765,340865,355071,369105,382804,396622,410283,423865,437359,450332,463502,476123,488757,501045,513489,525759,537966,549736,561494,572839,584156,595396,606242,617216,628037,638527,649047,659492,669566,679602,689632,699588,709358,718871,728148,737268,746508,755472,764460,773221,781823,790372,798863,807186,815397,823447,831560,839504,847429,855158,862749,870227,877629,885017,892256,899358,906374,913300,920242,926932,933625,940316,946832,953292,959721,966171,972398,978645,984757,990925,996889,1002738,1008449,1014133,1020002,1025727,1031428,1036997,1042335,1047690,1053140,1058371,
41470,0,0,0,0,2,13,59,236,653,1319,2395,3835,5864,8569,11832,15884,20517,25824,31803,38359,45383,53052,61298,70062,79099,88450,98374,108279,118772,129233,139981,150942,162038,173255,184738,196114,207309,218621,230046,241570,252978,264546,275883,287301,298715,309996,321291,332538,343902,355007,365996,376871,387688,398484,409102,419621,430119,440412,450651,460942,471115,481092,490912,500920,510547,519989,529330,538746,548083,557140,566276,575230,584164,592930,601601,610041,618655,626983,635311,643229,651177,659052,666985,674837,682414,690151,697833,705404,712818,719956,727077,734320,741442,748334,755157,761990,768915,775612,782354,788785,795262,801687,807930,814193,820319,826404,832440,838560,844480,850369,856121,861831,867659,873291,878875,884332,889688,895170,900504,
41480,0,0,0,0,0,2,10,28,87,222,430,791,1393,2275,3403,4879,6774,8986,11631,14708,18094,21986,26253,31008,36173,41526,47283,53245,59666,66383,73164,80395,87796,95360,103093,111116,119329,127632,135827,144294,152800,161287,169985,178609,187323,196179,205098,213918,222728,231595,240517,249394,258207,267119,276015,284722,293427,302340,310987,319563,328182,336632,345318,353714,362152,370327,378631,386945,395231,403325,411460,419576,427530,435302,443043,450942,458575,466143,473788,481299,488694,495979,503233,510556,517788,524917,532040,538986,545868,552849,559555,566255,572886,579577,586080,592512,599097,605412,611633,617941,624166,630288,636594,642692,648788,654836,660754,666549,672403,678157,683848,689471,694970,700402,705901,711377,716685,722024,727391,
41490,0,0,0,0,0,0,0,0,2,15,34,78,192,345,584,925,1397,2031,2835,3831,5019,6451,8067,9884,11971,14262,16880,19684,22772,26089,29597,33347,37286,41455,45769,50272,54930,59799,64836,69915,75131,80498,85994,91639,97309,103257,109253,115347,121354,127384,133753,140122,146482,153100,159654,165975,172396,178880,185527,192071,198686,205159,211852,218365,224934,231442,238050,244558,251128,257669,264207,270624,277142,283791,290271,296688,303169,309589,315948,322265,328717,334998,341251,347549,353724,359827,366034,372173,378105,384163,390063,395917,401631,407462,413375,419093,424732,430349,435916,441423,446989,452639,458101,463586,468940,474422,479703,485091,490368,495668,500974,506119,511301,516477,521532,526518,531532,536414,541338,
41500,0,0,0,0,0,0,0,0,0,0,0,3,7,19,35,68,128,221,348,531,769,1080,1422,1853,2379,3041,3755,4627,5653,6677,7881,9204,10741,12293,13932,15723,17666,19780,22065,24306,26698,29289,31955,34802,37597,40579,43695,46863,50146,53530,56923,60567,64150,67816,71603,75447,79422,83414,87456,91540,95665,99759,104065,108388,112665,116993,121468,126008,130358,134710,139179,143836,148278,152827,157387,161913,166534,171169,175811,180437,185041,189733,194324,198954,203552,208157,212834,217459,222021,226594,231092,235767,240375,245046,249650,254213,258821,263351,267899,272397,276960,281436,285941,290431,294800,299171,303626,308056,312320,316674,321023,325332,329652,333934,338302,342560,346912,351165,355352,
41510,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,8,20,38,55,79,117,176,255,341,457,591,755,973,1203,1512,1847,2230,2678,3193,3755,4372,5080,5826,6593,7438,8407,9438,10574,11725,12938,14229,15655,17114,18575,20166,21799,23564,25281,27102,29020,30957,32952,34949,37148,39304,41492,43785,46182,48634,51091,53677,56146,58718,61246,63905,66590,69333,72116,74864,77677,80567,83466,86510,89362,92415,95366,98360,101455,104563,107573,110645,113736,116888,120055,123138,126260,129438,132531,135574,138741,141924,145098,148355,151572,154772,158068,161269,164494,167745,171039,174301,177474,180666,183915,187161,190447,193818,197004,200211,203537,206791,210034,213254,
41520,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,6,8,11,16,27,39,56,76,104,138,179,241,309,396,501,614,748,893,1066,1237,1454,1685,1924,2217,2502,2874,3275,3687,4140,4643,5162,5671,6243,6874,7461,8140,8808,9539,10261,11109,11898,12752,13676,14532,15452,16452,17541,18577,19680,20825,21942,23135,24299,25585,26792,28092,29454,30813,32219,33694,35193,36711,38210,39686,41269,42802,44452,46026,47688,49335,51059,52738,54503,56252,57955,59729,61503,63302,65249,67107,68854,70754,72625,74475,76489,78374,80279,82171,84143,86103,88104,90120,92116,94121,96051,98123,100118,
41530,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,7,10,13,22,25,30,41,53,68,77,92,114,137,168,206,246,280,325,379,442,496,560,651,741,834,926,1048,1147,1289,1422,1566,1749,1924,2112,2327,2539,2765,2963,3210,3448,3748,4031,4328,4636,4945,5249,5578,5974,6360,6752,7155,7588,8008,8442,8916,9412,9877,10370,10920,11394,11937,12482,13044,13627,14240,14823,15475,16117,16770,17430,18067,18751,19468,20207,20933,21668,22407,23135,23935,24682,25489,26274,27083,27918,28774,29690,
41540,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,6,8,11,14,15,18,22,25,31,40,47,54,59,70,79,87,99,105,122,134,145,167,183,206,228,250,274,303,326,363,397,435,474,503,552,600,634,676,735,798,854,920,994,1049,1132,1226,1294,1389,1467,1563,1654,1758,1857,1969,2065,2172,2290,2397,2504,2638,2770,2906,3054,3203,3381,
41555114,105675,290293,479059,646182,790172,912802,1018083,1108954,1187503,1256119,1317407,1371496,1420264,1464246,1504403,1541044,1574474,1604858,1633133,1659320,1683619,1706132,1727027,1746682,1764890,1782174,1798356,1813542,1828178,1841996,1855223,1867803,1879542,1890867,1901680,1911908,1921758,1931087,1940040,1948815,1957135,1965126,1972723,1980103,1987197,1993987,2000546,2006866,2012854,2018882,2024727,2030294,2035659,2040857,2045876,2050735,2055462,2060088,2064595,2069095,2073301,2077365,2081457,2085411,2089207,2092989,2096633,2100113,2103533,2106926,2110118,2113318,2116496,2119507,2122450,2125299,2128219,2130928,2133615,2136329,2138846,2141400,2143864,2146354,2148673,2151015,2153308,2155582,2157787,2159946,2162108,2164158,2166226,2168272,2170230,2172240,2174165,2176144,2177906,2179774,2181526,2183225,2184891,2186617,2188208,2189852,2191385,2192993,2194555,2196041,2197528,2199030,2200506,2201929,2203339,2204725,2206098,2207371,2208709,
4156262,23237,104550,221445,346040,466554,577729,679167,770443,852400,926665,993453,1054096,1109183,1159518,1205468,1248389,1287909,1324462,1358333,1390024,1419869,1447687,1473548,1497827,1520807,1542373,1563030,1582474,1600676,1618148,1634832,1650720,1665712,1680244,1694072,1707322,1719989,1731887,1743373,1754523,1765341,1775633,1785665,1795199,1804451,1813481,1822085,1830449,1838520,1846358,1853786,1861122,1868229,1875098,1881757,1888256,1894552,1900570,1906550,1912347,1917989,1923547,1928912,1934079,1939074,1944038,1948779,1953426,1958020,1962549,1967086,1971354,1975442,1979517,1983480,1987438,1991192,1994978,1998539,2002175,2005724,2009125,2012465,2015845,2019054,2022190,2025284,2028428,2031420,2034326,2037174,2040122,2042862,2045550,2048237,2050787,2053402,2055913,2058336,2060763,2063106,2065418,2067736,2070049,2072290,2074511,2076682,2078757,2080793,2082899,2084972,2086893,2088883,2090818,2092674,2094504,2096375,2098161,2100034,
415716,6632,45835,118545,209155,304839,399947,490667,575058,653725,725982,792136,853183,909390,961908,1010865,1055837,1097736,1136981,1173633,1207938,1240213,1270710,1299072,1326238,1351721,1375654,1398685,1420142,1440614,1460110,1478633,1496646,1513903,1530129,1545917,1561161,1575411,1589420,1602682,1615400,1627508,1639482,1650910,1661899,1672673,1682955,1692921,1702705,1711876,1720956,1729734,1738079,1746288,1754289,1761933,1769479,1776754,1783840,1790743,1797565,1804073,1810494,1816635,1822861,1828845,1834639,1840351,1845808,1851076,1856225,1861377,1866376,1871184,1875938,1880639,1885184,1889726,1893982,1898295,1902411,1906683,1910839,1914666,1918537,1922476,1926174,1929818,1933293,1936647,1940117,1943608,1947084,1950156,1953404,1956593,1959591,1962593,1965578,1968552,1971468,1974436,1977224,1980038,1982752,1985369,1988000,1990590,1993064,1995508,1998097,2000556,2002944,2005226,2007543,2009882,2012119,2014279,2016457,2018598,
41581,1052,13190,46617,98998,162959,232594,303919,374001,442318,507686,569383,627810,682955,734130,782759,828372,870939,911552,949975,986161,1020246,1052688,1083236,1112116,1139726,1166297,1191095,1214976,1237592,1259689,1280791,1300608,1319892,1338420,1356119,1373158,1389429,1405130,1420409,1434941,1449031,1462686,1475967,1488611,1500806,1512780,1524258,1535499,1546268,1556763,1566831,1576920,1586505,1595809,1604836,1613430,1622045,1630344,1638367,1646293,1654243,1661704,1669084,1676324,1683317,1689989,1696679,1703203,1709469,1715703,1721853,1727806,1733527,1739211,1744786,1750293,1755517,1760661,1765826,1770856,1775830,1780651,1785327,1789968,1794474,1798930,1803228,1807467,1811652,1815796,1819836,1823753,1827552,1831298,1835072,1838768,1842358,1845939,1849393,1852879,1856403,1859795,1862973,1866328,1869589,1872777,1875949,1879026,1881947,1884879,1887693,1890561,1893273,1896151,1898815,1901528,1904235,1906879,1909513,
41590,66,1881,10804,30797,61188,100061,144528,192587,242203,291941,341589,390220,437576,483371,527131,569040,609732,648510,685679,721371,755621,788365,819826,849790,878512,906067,932702,957678,982078,1005729,1028211,1049764,1070794,1091043,1110375,1129089,1147198,1164451,1181264,1197631,1213438,1228838,1243693,1258071,1272000,1285642,1298893,1311742,1324118,1336232,1348097,1359458,1370520,1381409,1391964,1402206,1412052,1421830,1431309,1440499,1449376,1458158,1466790,1475385,1483512,1491607,1499356,1507110,1514671,1521946,1529182,1536105,1543015,1549714,1556313,1562790,1569226,1575405,1581498,1587450,1593301,1599077,1604661,1610217,1615608,1620994,1626216,1631312,1636356,1641261,1646079,1651045,1655663,1660259,1664865,1669323,1673801,1678147,1682439,1686474,1690623,1694720,1698689,1702638,1706527,1710422,1714202,1717932,1721678,1725272,1728809,1732210,1735788,1739212,1742400,1745703,1748950,1752189,1755347,
41600,13,428,3680,12808,29556,53418,83271,117570,154726,193928,234667,275763,316395,356521,395793,434170,471169,507144,542034,575680,608381,639644,670107,699426,727823,755491,781727,807237,831624,855250,877957,900019,921455,942109,961988,981331,1000007,1018137,1035758,1052675,1069323,1085318,1100864,1115991,1130776,1145018,1159074,1172526,1185548,1198316,1210935,1223300,1235088,1246508,1257654,1268638,1279410,1289816,1299894,1309761,1319620,1329008,1338302,1347335,1356355,1365119,1373594,1381826,1389827,1397725,1405638,1413352,1420880,1428156,1435269,1442269,1449139,1455925,1462466,1469036,1475514,1481831,1488025,1494014,1500007,1505785,1511440,1517204,1522899,1528391,1533766,1538986,1544250,1549409,1554324,1559373,1564177,1568923,1573608,1578273,1582878,1587367,1591820,1596128,1600399,1604613,1608806,1612918,1617115,1621071,1624982,1628880,1632635,1636432,1640191,1643726,1647344,1650869,1654377,
41610,1,71,907,4119,11424,23521,40353,61344,86269,113476,142599,173552,205326,237554,269959,302529,334478,366086,396810,427168,456705,485800,513781,541073,567858,593889,619201,643767,667338,690488,712936,734828,756099,776794,796829,816338,835238,853602,871503,888597,905599,921992,937835,953249,968474,983522,997954,1011979,1025752,1039190,1052523,1065254,1077778,1090058,1101893,1113516,1124868,1136056,1146810,1157459,1167830,1177968,1187711,1197339,1206803,1216043,1225207,1234080,1242759,1251309,1259767,1267941,1276123,1284142,1291936,1299746,1307184,1314490,1321564,1328638,1335614,1342433,1349142,1355825,1362302,1368657,1374928,1381151,1387328,1393348,1399240,1405082,1410664,1416159,1421772,1427156,1432534,1437781,1442962,1447989,1452949,1457907,1462641,1467478,1472154,1476791,1481423,1485981,1490451,1494913,1499216,1503524,1507729,1511879,1515960,1520021,1524048,1527975,1531973,
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41790,1,125,1396,5752,15024,29552,49238,73040,100264,129877,161291,193474,226270,259715,292582,325454,357393,388970,419818,449888,479423,507525,535643,562443,588547,614079,638543,662385,685661,707864,729644,751140,771727,791624,810950,829692,847792,865516,882754,899376,915511,931260,946596,961434,976233,990443,1004275,1017760,1030854,1043619,1056142,1068290,1080242,1091830,1102984,1113929,1124847,1135392,1145838,1155892,1165755,1175213,1184787,1194007,1203031,1211835,1220413,1228825,1237105,1245144,1252999,1260878,1268649,1276266,1283751,1291060,1298308,1305370,1312261,1319180,1325694,1332296,1338623,1344646,1350923,1357009,1362984,1368782,1374518,1380121,1385698,1391220,1396678,1401887,1407203,1412403,1417401,1422468,1427445,1432264,1437170,1441859,1446471,1450987,1455467,1459991,1464446,1468732,1473069,1477252,1481350,1485366,1489331,1493460,1497370,1501214,1505094,1508936,1512756,
41800,0,10,213,1276,4322,10322,19422,31708,47047,65237,85642,107753,131228,155478,180430,205861,231675,257305,283175,308687,333606,358264,382675,406477,429992,453057,475344,497103,518607,539456,559799,579808,599279,618463,637148,655248,672967,690281,707203,723878,739842,755748,771102,786125,800722,815116,828993,842640,855950,869040,881889,894450,906723,918814,930660,941968,952961,963748,974584,984903,995301,1005158,1015036,1024828,1034415,1043667,1052925,1061795,1070624,1079135,1087543,1096070,1104233,1112340,1120164,1127985,1135525,1143095,1150486,1157743,1164946,1171926,1178813,1185610,1192250,1198753,1205198,1211554,1217781,1223903,1230015,1236026,1241956,1247724,1253487,1259046,1264404,1269814,1275145,1280403,1285700,1290819,1295825,1300716,1305718,1310649,1315454,1320213,1325085,1329661,1334193,1338750,1343218,1347610,1351803,1356092,1360205,1364350,1368463,
41810,0,1,18,138,721,2278,5176,9776,16342,24894,35179,47340,60714,75125,91035,107900,125191,143354,161655,180548,199605,218674,237605,256638,275778,294826,313522,331906,350267,368472,386370,404028,421128,438091,454896,471626,487850,503870,519586,534863,550182,564953,579483,593910,608103,622045,635364,648545,661673,674329,686749,699124,711143,723124,734680,746167,757406,768341,779084,789631,800102,810378,820496,830300,839872,849265,858586,867674,876824,885762,894533,903178,911546,919900,928168,936400,944359,952116,959816,967357,974865,982382,989645,996771,1003662,1010713,1017407,1024045,1030713,1037392,1043836,1050102,1056308,1062641,1068704,1074569,1080480,1086240,1092011,1097627,1103286,1108760,1114271,1119641,1125002,1130194,1135386,1140486,1145478,1150442,1155418,1160297,1165123,1169846,1174522,1179106,1183619,1188148,1192669,
41820,0,0,1,27,168,638,1661,3673,6831,11193,16971,23802,31894,41248,51699,63322,75709,88894,102399,116675,131399,146275,161411,176684,191920,207743,223321,238930,254376,269948,285378,300762,315957,331040,346099,360921,375512,389941,404120,418157,432114,445753,459330,472473,485666,498658,511364,523979,536213,548382,560252,572094,583881,595323,606488,617720,628660,639268,649928,660298,670449,680411,690423,700216,709856,719134,728357,737598,746569,755498,764249,772975,781486,789744,797958,806118,813977,821893,829628,837184,844692,852249,859580,866797,873864,880951,888015,894898,901662,908203,914683,921016,927247,933508,939781,946036,952229,958225,964133,969933,975705,981558,987260,992760,998384,1003855,1009165,1014480,1019759,1024764,1029742,1034846,1040012,1044874,1049834,1054774,1059594,1064401,1069090,
41830,0,0,0,3,24,132,403,1039,2189,3923,6480,9819,14088,19139,25036,31711,39323,47502,56448,65927,75939,86365,97337,108506,120094,132061,144078,156445,168706,181331,193735,206199,218796,231345,243757,256332,268713,281027,293256,305408,317653,329571,341601,353478,365158,376778,388317,399731,410960,421989,433137,443918,454476,465050,475795,486258,496356,506558,516625,526339,536088,545789,555096,564393,573449,582395,591392,600250,608890,617426,626021,634388,642708,650732,658841,666760,674618,682353,689891,697258,704626,711969,719224,726456,733558,740650,747632,754488,761234,767850,774396,780795,787127,793479,799753,805943,812079,818149,824101,830073,835896,841662,847387,853065,858583,864008,869537,874922,880284,885515,890643,895772,900805,905830,910864,915792,920779,925643,930438,
41840,0,0,0,0,7,20,67,188,490,973,1834,2983,4577,6678,9266,12449,16309,20695,25558,30915,36792,43105,49779,56885,64423,72353,80627,89039,97595,106347,115340,124509,133974,143495,152909,162472,172099,181766,191384,201149,210928,220704,230553,240151,249885,259564,269285,278827,288389,297976,307371,316854,326015,335324,344650,353948,363004,371855,380719,389425,398093,406760,415091,423496,431911,440216,448363,456419,464504,472561,480437,488185,495971,503612,511170,518620,526001,533105,540402,547601,554655,561753,568678,575459,582209,588993,595691,602317,608909,615328,621747,627860,634140,640360,646480,652642,658633,664482,670430,676334,682057,687748,693312,698830,704448,709948,715431,720729,726015,731307,736514,741674,746747,751816,756799,761828,766680,771456,776243,
41850,0,0,0,0,0,1,2,13,47,123,277,538,974,1570,2425,3549,4929,6642,8705,10982,13625,16592,19898,23517,27482,31772,36344,41254,46319,51576,57114,62759,68611,74706,80940,87267,93933,100610,107326,114173,121041,128161,135375,142443,149753,156827,164037,171261,178377,185715,193010,200444,207859,215053,222381,229850,237202,244315,251413,258828,266003,272983,280150,287385,294471,301419,308368,315283,322217,329081,335859,342776,349516,356191,363003,369567,376050,382465,388954,395371,401757,407973,414187,420324,426408,432443,438570,444480,450499,456520,462265,468010,473893,479634,485274,490865,496575,502116,507750,513194,518447,523673,528974,534207,539250,544536,549488,554555,559707,564744,569685,574525,579455,584276,589006,593793,598499,603261,607854,
41860,0,0,0,0,0,0,0,1,3,9,29,65,135,234,386,600,864,1263,1766,2385,3125,4095,5159,6397,7764,9409,11195,13179,15308,17725,20214,22856,25719,28771,32038,35346,38791,42267,46065,49885,53869,57930,62260,66642,70944,75360,79996,84645,89388,94156,99143,104100,109029,114158,119188,124138,129289,134465,139694,144839,150210,155327,160551,165720,171000,176174,181484,186737,191942,197209,202368,207574,212796,218009,223356,228667,233736,239049,244257,249438,254538,259687,264683,269740,274757,279748,284796,289654,294545,299527,304546,309522,314440,319217,323869,328723,333513,338321,343132,347716,352385,356877,361397,366063,370685,375166,379626,384241,388672,393065,397456,401855,406198,410546,414840,419135,423330,427539,431799,
41870,0,0,0,0,0,0,0,0,0,0,1,3,9,20,37,71,105,153,231,364,522,781,1064,1394,1790,2248,2754,3375,4145,4964,5885,6938,8029,9236,10561,11921,13467,15096,16855,18679,20611,22628,24707,26737,28911,31235,33578,36110,38705,41439,44247,46899,49724,52488,55445,58459,61511,64648,67917,71217,74487,77813,81208,84685,88173,91622,95093,98701,102241,105956,109717,113394,117011,120725,124338,128003,131721,135401,139190,142843,146542,150245,154038,157869,161645,165262,169026,172801,176432,180167,183944,187806,191633,195513,199360,203141,206940,210756,214513,218238,221976,225715,229357,233007,236810,240493,244225,247903,251574,255224,258883,262443,266011,269589,273104,276646,280268,283929,287511,
41880,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,11,16,24,42,63,95,134,179,227,303,397,529,689,855,1091,1315,1599,1924,2270,2674,3122,3610,4132,4713,5355,6005,6717,7496,8348,9222,10113,11049,12074,13122,14225,15418,16638,17847,19151,20477,21843,23278,24789,26261,27816,29441,31140,32818,34542,36356,38146,39962,41754,43766,45758,47739,49790,51812,53916,56054,58201,60283,62450,64646,66817,69031,71281,73510,75861,78288,80573,82836,85088,87540,89909,92267,94709,97104,99432,101943,104421,106880,109277,111749,114259,116735,119286,121851,124241,126733,129153,131697,134221,136791,139318,141909,144464,146968,149579,152179,154725,157258,
41890,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,11,16,23,31,41,59,72,94,122,154,190,246,300,358,430,510,602,720,836,973,1122,1258,1437,1614,1834,2073,2316,2584,2884,3167,3471,3806,4146,4567,4968,5375,5790,6238,6723,7237,7754,8272,8851,9454,10059,10718,11356,12044,12764,13489,14280,15010,15787,16605,17380,18220,19043,19927,20788,21698,22636,23561,24520,25514,26501,27571,28672,29755,30857,31921,33041,34140,35276,36382,37573,38811,40011,41214,42484,43703,44998,46255,47519,48850,50144,51501,52831,54226,55534,56928,58291,59693,61133,
41900,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,3,6,7,10,12,19,23,31,37,46,58,65,78,88,104,120,141,152,178,205,245,287,327,386,430,472,520,586,644,700,769,844,916,1006,1106,1206,1307,1421,1548,1660,1779,1941,2105,2236,2391,2542,2682,2842,3006,3170,3343,3547,3744,3965,4200,4434,4637,4884,5128,5359,5601,5872,6135,6420,6698,6991,7289,7602,7913,8273,8598,8920,9253,9598,9948,10361,10730,
4191635,44981,180836,357040,535091,699757,846890,976171,1089565,1190225,1278316,1356772,1426872,1489986,1546888,1598287,1644917,1687442,1726534,1762374,1795144,1825560,1853652,1879780,1904065,1926713,1948131,1967954,1986801,2004230,2020881,2036347,2050810,2064624,2077551,2089989,2101736,2113036,2123582,2133571,2143215,2152314,2160873,2169404,2177496,2185135,2192577,2199570,2206281,2212727,2218972,2224908,2230744,2236170,2241397,2246560,2251479,2256163,2260672,2265020,2269322,2273472,2277533,2281306,2285115,2288725,2292231,2295667,2299066,2302214,2305274,2308294,2311238,2314044,2316755,2319500,2322083,2324661,2327147,2329541,2331850,2334026,2336282,2338422,2340551,2342535,2344528,2346513,2348372,2350259,2352049,2353888,2355570,2357281,2358914,2360465,2362011,2363552,2365011,2366441,2367846,2369279,2370601,2371896,2373190,2374484,2375737,2376856,2378056,2379206,2380387,2381491,2382610,2383672,2384706,2385749,2386724,2387712,2388708,2389638,
41925,3469,33986,103729,201811,312854,427043,539265,645337,745038,837851,923581,1002329,1075342,1142780,1205065,1262853,1316400,1366194,1412502,1455730,1495931,1533522,1568702,1601712,1632568,1661576,1689083,1715253,1739783,1763012,1785380,1806208,1826030,1844953,1862766,1879679,1895968,1911443,1926345,1940635,1954101,1966935,1979346,1991254,2002630,2013392,2023925,2034067,2043976,2053311,2062147,2070809,2079156,2087203,2095104,2102710,2110059,2117027,2123794,2130293,2136612,2142709,2148670,2154357,2159717,2165174,2170336,2175371,2180327,2185162,2189783,2194284,2198772,2203013,2207090,2211183,2215037,2218804,2222620,2226295,2229771,2233211,2236761,2240058,2243377,2246506,2249570,2252557,2255573,2258480,2261238,2263912,2266488,2269010,2271513,2273992,2276481,2278768,2281078,2283278,2285394,2287595,2289717,2291767,2293775,2295736,2297615,2299551,2301357,2303132,2304933,2306732,2308448,2310127,2311810,2313376,2315000,2316537,2318044,
41930,327,7321,33507,82687,150004,229147,313454,399797,486278,569553,649626,725872,798463,866249,930616,990966,1047826,1101717,1152102,1199695,1244819,1287657,1327591,1365443,1401128,1435095,1467247,1497397,1526151,1553777,1580211,1605257,1628921,1651694,1673319,1694080,1714081,1733271,1751715,1769069,1785814,1801850,1817339,1832102,1846260,1860073,1873301,1885916,1898040,1909952,1921121,1932201,1942813,1953018,1962764,1972266,1981409,1990483,1999221,2007594,2015733,2023697,2031288,2038602,2045817,2052747,2059465,2066059,2072420,2078614,2084591,2090507,2096107,2101674,2107156,2112512,2117564,2122595,2127417,2132296,2136739,2141180,2145497,2149818,2154088,2158157,2162128,2166020,2169797,2173466,2177166,2180674,2184039,2187285,2190529,2193774,2196925,2200052,2203204,2206089,2209018,2211763,2214569,2217209,2219876,2222530,2225066,2227548,2230059,2232485,2234816,2237141,2239412,2241691,2243854,2246052,2248182,2250232,2252228,
41940,7,578,5356,19194,44723,81688,128514,182212,240307,301602,363503,425796,487779,548209,606760,663585,718302,771240,822338,871425,918078,962599,1005981,1046959,1086215,1123657,1159840,1194347,1227552,1259084,1289746,1318797,1346986,1373852,1400033,1424699,1448338,1471483,1493534,1514687,1535270,1554985,1573971,1592631,1610295,1627240,1643526,1659717,1675073,1689902,1704343,1718590,1732036,1745294,1758056,1770545,1782316,1793763,1805095,1815985,1826662,1836895,1846779,1856492,1865795,1874866,1883644,1892178,1900642,1908679,1916542,1924395,1931916,1939290,1946568,1953517,1960375,1967053,1973485,1979732,1985916,1991994,1997842,2003662,2009137,2014711,2020068,2025227,2030341,2035345,2040236,2044966,2049691,2054259,2058729,2063053,2067399,2071466,2075591,2079684,2083559,2087442,2091293,2094971,2098497,2102037,2105592,2109082,2112355,2115606,2118887,2121982,2125111,2128199,2131104,2134011,2136903,2139736,2142504,
41950,0,8,188,1310,5037,12839,25771,43999,67742,95755,127871,163183,200964,240297,280899,322125,363888,405596,447272,488621,529102,569160,608258,646813,684534,721220,756949,791498,825115,858228,890139,921403,951213,980709,1008930,1036365,1063157,1089313,1114723,1138797,1162754,1185778,1208153,1230014,1251327,1271708,1291613,1310875,1329854,1347993,1365861,1382963,1399621,1416215,1432162,1447720,1462913,1477685,1492033,1505957,1519279,1532561,1545510,1558028,1570485,1582408,1594035,1605292,1616463,1627481,1638173,1648511,1658769,1668562,1678235,1687695,1697012,1705919,1714649,1723242,1731821,1739930,1747905,1755662,1763282,1770713,1777963,1785065,1792131,1798990,1805872,1812551,1819125,1825337,1831599,1837589,1843530,1849337,1855100,1860822,1866313,1871713,1877055,1882125,1887317,1892357,1897301,1901998,1906703,1911356,1915937,1920393,1924778,1929132,1933386,1937661,1941878,1945902,1949832,
41960,0,1,21,165,850,2874,6947,13886,24074,37754,54667,74683,97353,122687,149724,178485,208581,239833,272078,304553,337242,370364,403235,435894,468375,500758,532710,564311,595604,626152,656305,685517,714426,742870,770333,797478,823956,849951,875291,899901,923880,947473,970209,992836,1014680,1036424,1057316,1078007,1097855,1117332,1136177,1154618,1172582,1190289,1207488,1224158,1240448,1256450,1272202,1287321,1302299,1316692,1331149,1345068,1358736,1372146,1385091,1397810,1410202,1422387,1434260,1445854,1457164,1468169,1479011,1489658,1500130,1510482,1520588,1530355,1540045,1549563,1558858,1567987,1576889,1585451,1594106,1602473,1610767,1618877,1626671,1634274,1641695,1649164,1656354,1663514,1670655,1677645,1684353,1691026,1697548,1703982,1710185,1716271,1722313,1728306,1734136,1739798,1745355,1751004,1756549,1762038,1767243,1772338,1777363,1782374,1787399,1792238,1796985,
41970,0,0,0,5,75,320,1044,2649,5548,9835,16053,24236,34414,46445,60230,75890,93387,112222,132075,153071,175347,198253,221825,245780,270350,294945,320008,345229,370232,395372,420375,445462,470033,494479,518868,542760,566647,590234,613080,636066,658859,680841,702551,723989,745119,765726,786341,806371,826014,845550,864454,882993,901300,919336,936878,954202,971068,987955,1004120,1019979,1035609,1050778,1065923,1080729,1095148,1109335,1123287,1137012,1150534,1163624,1176592,1189240,1201915,1214090,1225981,1237777,1249295,1260630,1271864,1282809,1293626,1304193,1314636,1324892,1334956,1344662,1354298,1363696,1372915,1381987,1390960,1399758,1408474,1416991,1425358,1433504,1441543,1449530,1457337,1465121,1472756,1480151,1487386,1494389,1501471,1508355,1515347,1521972,1528706,1535299,1541707,1547973,1554048,1560098,1566040,1571906,1577762,1583486,1589193,
41980,0,0,0,0,4,14,77,235,650,1349,2634,4578,7343,10981,15679,21528,28442,36522,45463,55447,66643,78652,91349,104993,119270,134178,149757,165847,182420,199257,216605,234064,251803,269792,287992,306246,324354,342566,360855,379140,397481,415621,433810,451650,469351,487094,504786,522084,539567,556550,573500,590440,607104,623251,639476,655619,671409,686980,702491,717700,732714,747482,762148,776418,790467,804319,818140,831687,844853,858134,871071,883850,896388,908696,920929,933126,945119,956645,968240,979610,990662,1001729,1012634,1023226,1033760,1044241,1054113,1064258,1074258,1083963,1093577,1102994,1112504,1121757,1130869,1139884,1148578,1157245,1165986,1174320,1182685,1190731,1198910,1206812,1214568,1222240,1229845,1237318,1244763,1251940,1259228,1266356,1273328,1280150,1287110,1293759,1300322,1306803,1313316,
41990,0,0,0,0,0,0,4,7,28,86,205,411,759,1315,2134,3267,4834,6836,9299,12214,15668,19777,24459,29593,35291,41489,48234,55442,63136,71296,80141,89168,98633,108462,118605,128996,139812,150851,161876,173437,185104,196781,208814,220799,233102,245370,257815,270153,282679,295220,307687,320197,332493,345003,357754,370318,382601,394947,407265,419453,431487,443787,455830,468015,479807,491486,503331,514910,526468,537977,549246,560719,571818,582754,593734,604645,615392,625930,636524,647130,657368,667501,677756,687892,698028,707887,717564,727190,736667,746052,755246,764422,773455,782387,791258,800135,808971,817468,825841,834232,842571,850762,858807,866848,874901,882820,890794,898421,905985,913469,921015,928210,935403,942528,949634,956695,963631,970454,977246,
42000,0,0,0,0,0,0,0,0,3,10,22,48,115,214,408,743,1158,1684,2522,3545,4782,6338,8231,10359,12828,15606,18897,22435,26411,30572,35210,40198,45448,51105,57103,63247,69886,76594,83633,90850,98463,106258,114117,122171,130339,138870,147568,156239,165083,174050,183281,192572,201942,211215,220607,230029,239540,249262,258695,268300,278041,287512,297106,306581,316157,325730,335199,344663,354170,363748,373357,383024,392459,401915,411194,420455,429694,438802,447922,457277,466384,475165,484048,493023,501985,510677,519403,527925,536369,545114,553479,561740,569907,578072,586316,594382,602420,610287,618102,625885,633710,641350,648811,656338,663702,671185,678491,685592,692805,699929,706982,713953,720958,727559,734249,740990,747501,754109,760607,
42010,0,0,0,0,0,0,0,0,0,0,0,2,9,22,54,95,159,290,498,761,1055,1469,2014,2751,3644,4670,5907,7287,8852,10625,12592,14740,17115,19767,22536,25613,28840,32309,36015,39813,44023,48255,52771,57528,62380,67367,72566,77937,83480,89090,94827,100779,106722,112802,118993,125303,131679,138125,144745,151460,158300,165073,171770,178785,185686,192704,199764,206938,213935,221123,228265,235419,242554,249856,257166,264312,271443,278665,285781,293002,300200,307282,314471,321621,328759,335771,342916,349906,357063,364206,371199,378207,384997,391988,398936,405596,412271,418959,425633,432293,438853,445407,451887,458460,465001,471454,477764,484027,490272,496381,502433,508679,514825,521076,527041,533089,539062,544898,550858,
42020,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,10,17,25,51,86,149,231,328,497,707,966,1274,1707,2175,2717,3400,4193,5022,6009,7074,8284,9633,11088,12610,14318,16129,18073,20227,22493,24816,27298,29943,32668,35578,38654,41721,44893,48283,51740,55244,58787,62458,66355,70355,74369,78462,82648,86825,91044,95414,99822,104297,108979,113554,118246,122951,127782,132614,137613,142394,147442,152326,157345,162382,167501,172608,177832,182978,188057,193134,198298,203583,208702,213893,219164,224313,229392,234603,239885,245054,250294,255434,260437,265589,270736,275741,280956,286095,291285,296513,301777,306777,311826,317018,321964,327005,332025,336983,341942,346954,351905,356871,361813,366669,
42030,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,7,13,23,38,54,103,145,190,278,389,504,656,846,1054,1312,1608,1968,2397,2858,3361,3941,4604,5237,5975,6805,7687,8606,9611,10697,11915,13164,14496,15888,17343,18929,20562,22257,24037,25841,27780,29732,31808,33935,36071,38373,40727,43128,45654,48195,50769,53386,56013,58827,61636,64501,67417,70372,73359,76313,79369,82478,85492,88617,91771,95083,98386,101642,105081,108520,111867,115143,118540,121987,125344,128868,132309,135809,139345,142923,146475,150017,153528,157181,160798,164444,168078,171662,175346,178946,182590,186290,189893,193467,197148,200702,204436,208073,211668,215275,218890,
42040,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,8,12,18,28,40,60,81,116,147,193,244,326,402,501,593,716,851,1014,1185,1408,1651,1936,2228,2560,2935,3309,3785,4282,4781,5285,5859,6488,7099,7754,8480,9265,10054,10870,11738,12667,13621,14667,15699,16780,17944,19088,20326,21537,22832,24099,25452,26863,28353,29839,31430,32965,34561,36235,37933,39578,41336,43072,44829,46691,48537,50453,52423,54393,56412,58396,60411,62470,64479,66601,68684,70820,73003,75150,77309,79531,81748,84028,86254,88488,90754,93021,95347,97692,100029,102399,104795,107273,109624,112027,114369,
42050,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,3,3,7,13,19,25,44,52,67,82,103,131,163,204,250,305,371,465,551,661,760,901,1029,1197,1363,1554,1753,1965,2208,2491,2786,3081,3406,3745,4111,4497,4902,5282,5725,6190,6695,7191,7717,8283,8835,9452,10102,10775,11473,12151,12869,13650,14413,15249,16055,16902,17738,18651,19554,20446,21406,22408,23446,24450,25470,26543,27617,28754,29906,31006,32188,33412,34614,35917,37158,38439,39661,40972,42279,43568,44933,46323,47696,49066,50432,51866,53280,54735,56176,57640,
42060,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,6,7,10,13,18,20,27,35,40,62,69,78,92,109,133,169,205,237,268,308,364,429,495,557,642,714,810,895,1026,1150,1279,1410,1557,1729,1894,2080,2266,2463,2667,2901,3099,3322,3613,3887,4175,4479,4802,5101,5435,5752,6103,6458,6841,7242,7676,8107,8491,8938,9379,9775,10239,10747,11273,11768,12267,12827,13411,13999,14560,15133,15764,16409,17064,17696,18371,19037,19751,20468,21138,21857,22622,23391,24130,
42070,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,4,10,13,19,23,25,33,46,60,70,76,92,108,132,152,177,204,227,248,274,306,343,381,415,460,499,558,633,691,750,829,888,976,1040,1121,1229,1333,1430,1560,1668,1783,1912,2037,2179,2350,2505,2650,2817,2998,3159,3313,3506,3694,3878,4063,4295,4524,4765,4997,5235,5471,5728,5995,6288,6543,6834,7120,7406,7707,
42080,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,4,5,5,6,9,12,16,19,23,28,34,45,50,59,67,74,83,92,100,113,126,144,158,176,199,220,237,259,284,301,322,350,386,409,452,484,510,551,584,625,676,714,756,811,865,923,973,1028,1073,1143,1214,1284,1348,1436,
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42130,0,116,1385,6280,17139,35080,59720,90238,125327,164000,205081,247174,290045,333426,376619,419222,461024,501740,541817,580832,618422,654884,690288,724446,757677,789859,820929,850919,879934,907678,934531,960375,985460,1009765,1033454,1056030,1078111,1099187,1119523,1139337,1158560,1177145,1195197,1212854,1229752,1246186,1262139,1277744,1292765,1307106,1321292,1334847,1348273,1361240,1373849,1386267,1398460,1409932,1421278,1432452,1443152,1453553,1463830,1473764,1483574,1492787,1501967,1510995,1519624,1528392,1536789,1545102,1553130,1560856,1568591,1576267,1583689,1590716,1597613,1604611,1611374,1617835,1624375,1630694,1637039,1643070,1649039,1654961,1660677,1666219,1671737,1677104,1682243,1687450,1692429,1697439,1702311,1707212,1711986,1716693,1721086,1725548,1729916,1734229,1738322,1742547,1746607,1750626,1754476,1758372,1762249,1765933,1769599,1773259,1776838,1780345,1783756,1787143,1790400,
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42680,22,892,5722,17926,38422,65932,98977,135723,174288,214315,254756,295203,334791,373396,411269,447793,482741,516536,549020,580178,610049,639001,667036,693561,719088,743763,767295,790188,812117,833196,853662,873281,892085,910277,927807,944592,960915,976715,991992,1006903,1021295,1035132,1048588,1061688,1074332,1086704,1098610,1110079,1121190,1132169,1142931,1153318,1163276,1173090,1182545,1191717,1200733,1209338,1217893,1226314,1234525,1242301,1249901,1257332,1264689,1271977,1278989,1285906,1292518,1299209,1305683,1311869,1318063,1323949,1329900,1335712,1341373,1346877,1352302,1357675,1363043,1368226,1373250,1378160,1383016,1387779,1392549,1397138,1401779,1406196,1410565,1414919,1419096,1423164,1427211,1431219,1435057,1438870,1442815,1446551,1450218,1453884,1457557,1460974,1464354,1467692,1470988,1474285,1477543,1480726,1483876,1486950,1490007,1493054,1496044,1498990,1501909,1504656,1507441,
42690,2,152,1679,6800,16820,32321,52805,77615,104851,134296,165240,197110,229017,261213,293000,324522,354963,384912,413893,442574,470095,496628,522539,547727,572199,595771,618507,640253,661280,681809,702003,721250,740038,758178,775758,792864,809166,825101,840380,855365,869829,883932,897717,911024,923959,936647,948848,960969,972521,983906,994915,1005493,1015898,1026142,1036151,1046014,1055438,1064646,1073677,1082419,1091111,1099488,1107580,1115639,1123408,1131005,1138409,1145715,1152906,1159899,1166543,1173190,1179675,1185983,1192281,1198668,1204690,1210647,1216389,1222131,1227885,1233507,1238977,1244282,1249604,1254812,1259828,1264831,1269627,1274429,1279098,1283608,1288115,1292588,1296999,1301271,1305440,1309605,1313573,1317538,1321388,1325308,1329125,1332933,1336583,1340325,1343928,1347469,1351020,1354602,1357934,1361279,1364527,1367794,1371068,1374171,1377244,1380421,1383518,
42700,0,18,345,1800,5711,12728,23031,36546,53334,72167,93083,115456,138883,162891,187602,212457,237498,262481,286714,310783,334620,358036,380834,403040,424866,446230,467100,487101,506880,525993,544648,562956,580458,597560,614414,630803,646895,662433,677490,692443,707002,720784,734434,747510,760585,773203,785627,797621,809265,820611,831910,842868,853471,863888,874289,884105,893759,903101,912313,921302,930190,938694,947155,955450,963604,971602,979359,986942,994411,1001664,1008858,1015868,1022845,1029507,1036012,1042539,1049070,1055321,1061513,1067643,1073602,1079266,1085044,1090726,1096229,1101709,1107027,1112317,1117386,1122434,1127361,1132194,1137090,1141914,1146583,1151142,1155532,1160042,1164361,1168679,1172841,1177031,1181063,1185104,1189158,1193047,1196934,1200695,1204455,1208223,1211901,1215521,1219157,1222700,1226187,1229540,1232895,1236192,1239495,
42710,0,0,39,257,1200,3259,7132,12981,20795,30480,41969,54782,69162,84568,100802,118228,135914,153961,172408,190839,209439,227986,246359,264619,282900,300710,318527,335963,352901,369653,385973,402099,418121,433672,448943,463982,478618,492834,506856,520573,533965,547037,560002,572911,585150,597044,608888,620357,631543,642656,653538,664160,674579,684998,695055,705002,714471,723711,733091,742136,751061,759686,768242,776536,784777,792780,800746,808515,816195,823520,830899,838219,845318,852315,859081,865821,872368,878818,885257,891430,897449,903458,909464,915278,920925,926472,932034,937540,942813,948171,953358,958532,963613,968528,973358,978129,982834,987478,992130,996764,1001207,1005589,1009911,1014241,1018476,1022637,1026702,1030758,1034787,1038709,1042518,1046307,1050017,1053750,1057400,1061098,1064675,1068162,1071647,
42720,0,0,6,52,345,1133,2788,5692,9710,15277,22308,30752,40361,50875,62503,75021,88145,101807,115774,130300,145169,160126,175181,190417,205531,220523,235433,250445,265201,280045,294619,308855,323242,337195,350930,364384,377578,390595,403627,416405,428718,440805,452818,464544,475944,487270,498600,509771,520479,531033,541341,551522,561549,571496,581133,590669,599979,609196,618120,626756,635442,644106,652558,660822,668816,676610,684357,692045,699585,706886,714200,721322,728481,735307,742148,748842,755498,762049,768507,774673,780880,786988,793024,798933,804710,810374,815997,821643,827083,832336,837605,842704,847760,852788,857814,862636,867423,872190,876893,881479,885975,890395,894815,899212,903618,907817,911996,916141,920252,924210,928129,932024,935914,939715,943473,947173,950853,954406,958013,
42730,0,0,1,10,58,328,909,2018,3917,6625,10268,14798,20288,26579,33902,41907,50789,60331,70364,80861,91838,103062,114576,126354,138322,150203,162189,174340,186336,198578,210723,222692,234478,246430,258276,270046,281551,292930,304210,315586,326814,337677,348395,359080,369770,380133,390282,400443,410322,419902,429702,439194,448471,457722,466835,475623,484324,493072,501444,510002,518228,526281,534134,542066,549660,557362,564996,572200,579470,586483,593721,600688,607520,614203,620783,627246,633623,639940,646099,652079,658054,663985,669874,675660,681332,686987,692679,698062,703403,708761,714100,719264,724374,729377,734314,739136,744020,748773,753437,758014,762706,767226,771613,776056,780346,784587,788738,792783,796984,801048,805177,809152,813097,817037,820888,824630,828427,832078,835687,
42740,0,0,0,3,10,41,150,491,1032,2034,3531,5606,8276,11631,15504,20077,25266,30828,37148,43792,50942,58417,66278,74516,83089,91691,100294,109181,118231,127719,137138,146553,156144,165614,175295,184664,194052,203408,212742,222173,231554,240661,249857,258912,267957,276961,285784,294579,303404,311957,320403,328623,336966,345148,353189,361118,369075,376934,384561,392235,399758,407090,414216,421497,428534,435617,442444,449273,456012,462619,469172,475676,482228,488622,494862,500969,506886,512895,518859,524804,530576,536135,541682,547280,552804,558290,563668,568920,574118,579206,584201,589287,594156,598968,603807,608688,613526,618096,622663,627236,631641,636048,640402,644654,648853,653160,657356,661545,665510,669514,673527,677491,681404,685152,688943,692657,696386,700097,703672,
42750,0,0,0,0,2,10,23,76,223,476,932,1626,2553,3918,5596,7626,9988,12794,16013,19537,23503,27602,32185,37044,42174,47568,53290,59136,65323,71675,78081,84729,91268,98066,105065,112025,119000,125947,132987,140158,147189,154429,161656,168914,175990,183130,190320,197350,204282,211297,218273,225409,232312,239173,245865,252518,259312,266029,272538,279108,285693,292165,298501,304753,311048,317276,323336,329405,335375,341308,347106,352995,358863,364611,370193,375863,381401,386850,392063,397377,402581,407771,412873,417874,422957,427893,432882,437826,442623,447409,452137,456893,461355,465928,470425,474957,479366,483720,488095,492461,496626,500874,504951,509023,513032,517039,521075,524861,528696,532436,536211,539971,543602,547277,551000,554603,558259,561820,565336,
42760,0,0,0,0,0,1,2,9,17,54,125,257,476,826,1306,1910,2715,3779,4994,6465,8218,10214,12345,14693,17294,20175,23108,26294,29656,33192,36864,40787,44742,48992,53177,57621,62169,66767,71492,76077,80957,85818,90806,95695,100749,105862,111036,116118,121307,126459,131671,136867,142064,147148,152478,157587,162673,167683,172861,177924,183012,188081,193080,198056,203142,208134,213053,217864,222719,227570,232403,237242,242156,246827,251680,256297,260901,265518,270185,274769,279209,283522,288028,292365,296757,301029,305421,309797,313964,318064,322139,326349,330473,334452,338520,342443,346329,350310,354138,357883,361662,365445,369196,372854,376579,380116,383721,387274,390756,394295,397742,401233,404646,407963,411242,414584,417903,421156,424382,
42770,0,0,0,0,0,0,0,0,1,6,23,39,82,142,268,429,665,960,1394,1929,2539,3247,4101,5103,6224,7468,8804,10247,11854,13584,15509,17522,19687,21982,24311,26831,29312,32021,34858,37742,40700,43736,46869,50005,53193,56498,59764,63130,66681,70138,73750,77261,80817,84463,88099,91840,95510,99171,102917,106673,110444,114201,118003,121813,125511,129268,133121,136903,140632,144307,147948,151694,155499,159210,162829,166530,170306,174080,177764,181299,184977,188644,192326,195986,199500,203107,206660,210240,213717,217093,220447,223842,227265,230602,233973,237308,240621,243976,247281,250507,253804,257011,260137,263243,266356,269421,272527,275547,278669,281773,284794,287683,290707,293598,296552,299467,302335,305180,308084,
42780,0,0,0,0,0,0,0,0,0,0,2,5,8,13,19,43,79,129,205,323,462,644,883,1125,1428,1784,2206,2667,3224,3901,4591,5395,6268,7203,8189,9258,10378,11565,12897,14195,15694,17247,18778,20323,21995,23678,25526,27363,29186,31093,33126,35100,37106,39231,41414,43639,45900,48079,50368,52693,55095,57472,59828,62154,64688,67215,69692,72177,74675,77304,79912,82426,85004,87599,90144,92721,95355,98005,100572,103098,105771,108346,110993,113590,116159,118711,121235,123800,126337,128985,131553,134058,136631,139081,141593,144107,146605,149075,151561,154056,156540,159071,161626,164152,166608,169025,171493,173952,176317,178731,181047,183437,185863,188223,190575,192893,195266,197582,199757,
42790,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,5,9,13,23,35,54,74,105,147,193,276,377,496,621,769,971,1167,1399,1637,1900,2207,2570,2936,3369,3824,4308,4849,5411,6025,6625,7278,7949,8728,9495,10251,11046,11869,12809,13705,14685,15682,16659,17675,18788,19931,21055,22256,23521,24742,25962,27176,28463,29683,31013,32355,33733,35105,36558,37955,39381,40814,42261,43747,45232,46673,48132,49676,51213,52716,54266,55880,57483,59002,60587,62079,63622,65135,66837,68428,70033,71677,73207,74819,76371,78090,79691,81334,83013,84591,86176,87770,89361,91040,92661,94250,95817,97423,99079,100662,102297,103909,105522,107100,
42800,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,6,20,28,38,52,64,90,119,152,202,245,296,344,416,495,578,661,766,875,995,1134,1272,1427,1588,1770,1944,2155,2390,2639,2905,3163,3419,3689,3987,4296,4630,4965,5359,5730,6110,6506,6881,7289,7729,8175,8652,9109,9663,10152,10665,11200,11676,12260,12785,13344,13908,14530,15135,15733,16373,17032,17626,18251,18913,19606,20282,20953,21689,22386,23071,23775,24519,25292,26084,26830,27546,28335,29039,29770,30565,31308,32066,32848,33672,34451,35234,36036,36830,37617,38433,39248,
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428377,11963,64176,148598,245508,343766,437062,524324,604439,677271,743244,803527,859124,909946,956851,999406,1039376,1076459,1111081,1143108,1173022,1201116,1227510,1252175,1275315,1297385,1318236,1338092,1356880,1374572,1391313,1407763,1422836,1437453,1451508,1464868,1477505,1489844,1501713,1513133,1523856,1534370,1544493,1554222,1563548,1572716,1581523,1589875,1598093,1605976,1613678,1620965,1628133,1635008,1641788,1648332,1654794,1660881,1666848,1672653,1678376,1683971,1689457,1694745,1699842,1704801,1709665,1714324,1718901,1723352,1727790,1732039,1736241,1740198,1744166,1748097,1751841,1755551,1759049,1762673,1766167,1769602,1772841,1776181,1779410,1782589,1785676,1788680,1791636,1794544,1797342,1800136,1802937,1805639,1808279,1810819,1813407,1815853,1818341,1820727,1823099,1825468,1827816,1829999,1832143,1834296,1836376,1838537,1840607,1842626,1844631,1846635,1848599,1850571,1852454,1854332,1856193,1858003,1859789,1861500,
42847,2703,23434,68525,130978,201891,275556,347739,417380,483048,544051,601639,654842,704901,751706,795106,835616,873341,909156,942642,973984,1003552,1031269,1057573,1082446,1105953,1128640,1150153,1170571,1190111,1208762,1226518,1243295,1259526,1274832,1289484,1303813,1317417,1330407,1342887,1354971,1366653,1377944,1388918,1399336,1409714,1419401,1428997,1438265,1447079,1455681,1464030,1472219,1479953,1487654,1495111,1502343,1509260,1515983,1522625,1529184,1535518,1541696,1547751,1553636,1559264,1564702,1570128,1575339,1580444,1585432,1590380,1595170,1599902,1604444,1608914,1613300,1617614,1621750,1625843,1629829,1633883,1637751,1641542,1645289,1648976,1652492,1655921,1659347,1662615,1665959,1669227,1672480,1675546,1678642,1681677,1684678,1687662,1690635,1693380,1696161,1698916,1701532,1704190,1706855,1709353,1711891,1714341,1716827,1719235,1721596,1723912,1726168,1728429,1730659,1732825,1735005,1737124,1739213,1741323,
42850,276,4995,21629,51591,91926,139014,189291,241068,292976,343577,392248,439031,483381,525853,566441,604829,641369,675984,708989,740106,769917,798219,825140,850903,875410,898877,921113,942857,963400,982960,1001846,1020236,1037456,1054020,1070073,1085583,1100706,1115019,1128687,1141967,1154866,1167397,1179318,1190958,1201949,1212991,1223654,1233842,1243923,1253608,1263059,1272087,1280822,1289508,1298051,1306206,1314138,1321988,1329530,1336916,1344070,1351030,1357838,1364367,1370830,1377198,1383457,1389288,1395255,1401109,1406762,1412261,1417500,1422730,1427962,1433101,1438103,1442949,1447737,1452456,1457045,1461525,1465937,1470337,1474518,1478701,1482816,1486859,1490773,1494614,1498408,1502057,1505664,1509350,1512841,1516434,1519770,1523025,1526304,1529611,1532757,1535869,1538961,1541945,1544888,1547742,1550744,1553746,1556462,1559218,1561910,1564591,1567244,1569908,1572458,1575002,1577472,1579910,1582349,
42860,65,1713,9411,26246,52348,85599,123384,164008,205867,248280,290140,331019,371306,410007,447416,483326,517769,550653,582006,612157,641073,668853,695290,720530,744921,768037,790489,811996,832586,852302,871438,889810,907577,924762,941363,957280,972623,987537,1001921,1015738,1029040,1042025,1054699,1066914,1078802,1090136,1101273,1112184,1122524,1132573,1142370,1152281,1161645,1170800,1179579,1188042,1196403,1204607,1212487,1220153,1227827,1235177,1242259,1249463,1256267,1263045,1269694,1276089,1282378,1288567,1294486,1300328,1306165,1311840,1317335,1322659,1328047,1333304,1338479,1343534,1348614,1353455,1358200,1362794,1367408,1371790,1376217,1380474,1384740,1388879,1392959,1396925,1400947,1404824,1408636,1412237,1415876,1419364,1422968,1426422,1429912,1433316,1436564,1439843,1443077,1446138,1449222,1452302,1455220,1458188,1461154,1464063,1466862,1469719,1472550,1475293,1477960,1480585,1483272,
42870,6,434,3360,11218,25495,45701,70683,99565,130595,163300,196770,230783,264615,298066,330938,362641,393642,424149,453280,481293,508027,534044,559154,583357,606619,629173,651148,672323,692564,712079,730819,749144,767001,784104,800622,816731,832110,847087,861636,875773,889517,902681,915619,928105,940192,951926,963400,974680,985723,996210,1006554,1016673,1026475,1036072,1045316,1054350,1063068,1071525,1080023,1088109,1096181,1103882,1111560,1119197,1126312,1133318,1140240,1147001,1153635,1160147,1166492,1172601,1178706,1184716,1190542,1196305,1201948,1207696,1213087,1218443,1223654,1228791,1233785,1238729,1243595,1248471,1253070,1257629,1262051,1266323,1270714,1275011,1279175,1283339,1287417,1291296,1295218,1299135,1302958,1306684,1310406,1314061,1317625,1321106,1324549,1327952,1331398,1334722,1338044,1341232,1344343,1347517,1350530,1353607,1356636,1359568,1362450,1365323,1368055,
42880,0,64,794,3551,9848,19790,33671,51390,71828,94516,118919,143893,169782,195757,221931,248395,274476,300008,325198,349865,373974,397026,419599,441632,463396,484606,505207,524806,544139,562783,580886,598413,615557,632094,648246,663902,679143,694154,708380,722329,735863,749115,761962,774405,786546,798438,809970,821165,832138,842941,853302,863640,873706,883544,893133,902362,911402,920209,928711,937308,945612,953758,961477,969235,976802,984176,991506,998560,1005490,1012278,1018873,1025232,1031754,1038073,1044202,1050149,1056126,1062083,1067854,1073409,1078974,1084547,1089911,1095270,1100465,1105535,1110425,1115251,1120042,1124748,1129495,1134023,1138364,1142705,1147097,1151275,1155517,1159646,1163693,1167765,1171746,1175658,1179486,1183181,1186869,1190475,1194066,1197715,1201195,1204707,1208181,1211651,1215029,1218379,1221699,1224852,1228061,1231163,1234322,
42890,0,6,103,786,2700,6429,12464,20942,31712,44795,59300,75480,92688,110818,129489,148918,168541,188193,207792,227566,247162,266647,285472,304260,322756,340701,358689,376078,393395,410423,426589,442573,458528,473903,488797,503540,517719,531535,545076,558257,571150,583684,595678,607971,620102,631591,642806,653925,664625,675118,685406,695292,705182,714932,724419,733721,742786,751705,760471,768862,777328,785427,793442,801302,809101,816626,824146,831279,838482,845645,852575,859381,866007,872527,878942,885168,891164,897269,903375,909203,914817,920573,926064,931489,936726,942068,947221,952263,957335,962349,967230,972060,976727,981389,985900,990441,994933,999311,1003483,1007777,1011910,1016069,1020122,1024095,1028004,1031884,1035714,1039479,1043256,1046982,1050656,1054264,1057727,1061173,1064623,1067981,1071279,1074539,1077828,
42900,0,1,26,191,866,2571,5643,10342,16788,24873,34491,45498,57765,70916,85036,99895,115314,130726,146567,162892,179030,195318,211504,227589,243396,259081,274759,290394,305728,320687,335626,350292,364716,378802,392674,406228,419684,432793,445628,457930,470167,482287,494158,505863,517190,528242,539079,549687,560081,570476,580463,590098,599603,609088,618597,627621,636458,645155,653759,662127,670391,678513,686250,693961,701618,709126,716373,723614,730686,737862,744619,751269,757988,764453,770793,777045,783181,789318,795252,801169,806990,812626,818121,823623,828992,834393,839705,844809,849989,854960,859823,864664,869456,874060,878750,883322,887731,892219,896609,900854,905030,909173,913344,917409,921443,925416,929369,933201,937023,940732,944375,948178,951713,955294,958842,962243,965512,968872,972269,
42910,0,0,4,36,229,794,2048,4166,7257,11744,17321,24006,31758,40464,49901,60213,71259,82683,94651,106970,119715,132515,145517,158562,171722,184964,198012,211286,224390,237290,250009,262877,275296,287499,299763,311882,323853,335588,347140,358355,369505,380641,391448,401945,412520,422772,432691,442871,452483,461993,471529,480642,489660,498727,507542,516220,524869,533284,541480,549609,557611,565405,572989,580603,587939,595416,602450,609569,616562,623309,630015,636677,643127,649574,655923,662110,668325,674413,680289,686136,691900,697439,703070,708431,713833,719133,724271,729424,734575,739655,744500,749397,754293,759064,763649,768143,772752,777203,781591,785918,790218,794294,798443,802695,806798,810733,814658,818596,822370,826068,829952,833617,837267,840982,844640,848193,851685,855124,858452,
42920,0,0,0,7,31,181,560,1292,2543,4514,7205,10623,14802,19741,25374,31658,38719,46258,54201,62700,71683,80852,90322,99847,109924,119853,130058,140340,150836,161209,171578,181983,192263,202700,212838,222827,232719,242610,252379,262218,271832,281273,290770,300247,309455,318487,327474,336281,345130,353838,362301,370634,378815,387204,395312,403309,411080,418831,426687,434210,441740,448906,455997,463186,470282,477406,484211,490969,497578,504141,510483,516914,523090,529137,535101,541086,547015,552849,558430,564027,569629,575103,580576,586000,591186,596201,601275,606360,611241,616137,620971,625687,630486,635205,639767,644273,648691,653072,657497,661755,665969,670192,674408,678511,682487,686542,690466,694370,698189,701990,705819,709477,713082,716693,720319,723847,727295,730743,734171,
42930,0,0,0,0,2,18,93,273,630,1275,2179,3594,5337,7564,10370,13562,17158,21286,25962,30950,36301,42074,48036,54482,61136,67919,75028,82232,89551,96987,104607,112220,119940,127713,135501,143436,151383,159235,166878,174693,182501,190350,198104,205800,213334,220781,228279,235856,243180,250587,257752,265068,272212,279224,286233,293195,300089,306979,313813,320465,326970,333477,339914,346240,352403,358739,364765,370867,376817,382749,388597,394414,400196,405978,411490,417029,422537,427912,433254,438519,443691,448662,453751,458669,463624,468554,473326,478082,482664,487338,491836,496390,500785,505205,509558,513898,518166,522427,526583,530791,534899,538919,542964,546952,550816,554689,558431,562136,565751,569431,573101,576701,580247,583783,587221,590674,594066,597473,600760,
42940,0,0,0,0,0,3,11,34,103,203,418,794,1326,2068,3027,4166,5706,7465,9544,11889,14472,17302,20537,23994,27731,31591,35720,39984,44383,49153,53895,58972,63933,69051,74248,79499,84871,90304,95976,101476,107023,112783,118390,124057,129814,135652,141130,146820,152584,158415,164146,169833,175516,180972,186611,192122,197553,203061,208544,213920,219269,224614,229942,235209,240412,245575,250888,256023,261139,266140,271074,276128,281204,286051,290893,295776,300581,305201,309862,314402,318923,323446,327993,332568,336920,341344,345743,350021,354268,358436,362523,366687,370619,374709,378638,382530,386474,390363,394208,397873,401642,405317,408870,412492,416110,419660,423207,426738,430238,433770,437126,440519,443781,447131,450303,453565,456808,459996,463111,
42950,0,0,0,0,0,1,1,1,6,27,74,142,260,430,707,1092,1593,2204,2977,3853,4995,6283,7711,9255,11072,12945,14998,17283,19656,22122,24759,27599,30605,33594,36828,40039,43477,46892,50420,54066,57862,61668,65437,69357,73380,77389,81563,85664,89785,93873,98064,102179,106320,110484,114627,118703,122914,127109,131244,135529,139752,143950,148153,152400,156554,160690,164765,168938,173094,177206,181400,185396,189391,193341,197383,201272,205117,208953,212871,216693,220482,224325,228081,231813,235571,239264,242880,246593,250154,253745,257331,260919,264455,267785,271193,274570,277941,281321,284680,288010,291290,294635,297852,301139,304336,307426,310659,313657,316815,319881,322883,325948,329039,331979,334905,337765,340613,343524,346355,
42960,0,0,0,0,0,0,0,0,0,0,2,7,17,43,88,155,252,373,565,804,1094,1459,1864,2382,2999,3644,4421,5347,6287,7340,8438,9652,10964,12386,13894,15441,17120,18859,20731,22625,24613,26669,28735,30867,33142,35552,37899,40288,42636,45069,47553,50042,52679,55321,57978,60673,63372,66117,68879,71613,74384,77175,80020,82883,85790,88663,91631,94470,97330,100278,103259,106253,109124,112045,114915,117727,120646,123542,126397,129202,132083,135012,137817,140759,143532,146268,149141,152055,154902,157798,160567,163267,165931,168728,171412,174121,176791,179554,182254,184933,187603,190192,192875,195509,198088,200673,203248,205773,208333,210906,213454,215970,218402,220869,223279,225766,228247,230649,233016,
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42980,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,7,9,13,20,33,42,56,81,108,141,180,237,293,361,443,505,592,699,813,956,1085,1261,1431,1601,1811,2059,2302,2563,2833,3113,3438,3735,4068,4419,4784,5178,5589,6003,6420,6895,7355,7823,8316,8818,9362,9921,10476,11059,11660,12245,12879,13501,14179,14848,15553,16250,16898,17603,18302,19080,19787,20584,21384,22142,22924,23705,24503,25337,26136,26951,27769,28620,29513,30290,31157,32020,32882,33777,34679,35562,36468,37425,38361,39329,40307,41240,42189,43194,44139,45044,46033,47005,47946,48937,49924,50903,51870,
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43400,0,23,358,2054,6624,15134,28087,45625,66971,91721,118711,148006,178037,209073,240827,272792,304417,335973,367105,397482,427217,456263,484594,512027,538936,565269,590599,615272,639297,662381,684428,705878,726784,747217,766744,785813,804155,822047,839519,856298,872580,888147,903613,918237,932601,946541,960095,973102,985844,998207,1010235,1021920,1033220,1044218,1054879,1065231,1075334,1085005,1094643,1104039,1113134,1121954,1130624,1139036,1147218,1155190,1162988,1170695,1178171,1185336,1192446,1199377,1206231,1212873,1219253,1225604,1231804,1237859,1243727,1249455,1254929,1260446,1265778,1270965,1276172,1281304,1286252,1291033,1295725,1300320,1304792,1309278,1313615,1317896,1322168,1326274,1330303,1334333,1338346,1342209,1346064,1349760,1353399,1356955,1360412,1363778,1367217,1370598,1373924,1376992,1380025,1383160,1386234,1389211,1392181,1394973,1397813,1400592,1403148,
43410,0,0,54,404,1756,4921,10489,18951,30391,44326,60687,79213,99324,120955,143482,166939,191261,215538,240141,264689,289132,313320,337339,361101,384207,407002,429432,450952,472338,493228,513422,533562,552954,571983,590559,608222,625864,642580,659294,675526,691192,706197,720871,735236,749356,763093,776393,789445,802193,814503,826309,837861,849338,860605,871396,881836,891965,902069,911665,921260,930580,939642,948517,957116,965652,973815,981817,989690,997340,1005082,1012564,1019976,1027150,1034087,1040716,1047309,1053694,1059903,1066079,1072424,1078312,1084263,1089978,1095666,1101125,1106634,1111874,1117102,1122106,1127145,1131969,1136606,1141406,1146001,1150471,1154823,1159198,1163489,1167613,1171542,1175659,1179543,1183458,1187333,1191106,1194835,1198548,1202050,1205464,1208924,1212174,1215493,1218764,1222021,1225117,1228133,1231217,1234257,1237239,
43420,0,0,4,66,326,1135,2922,6066,10908,17370,25575,35551,46769,59599,73481,88790,104695,121444,138882,156679,175024,193080,211437,229561,247960,266053,284257,302165,319856,337409,354516,371453,388319,404951,421035,436762,452392,467617,482494,496877,511060,524951,538674,552170,565286,578077,590579,602841,614822,626711,638171,649204,660142,670756,680988,691215,701290,711080,720644,730026,739043,748046,756912,765369,773723,781921,789884,797761,805478,813064,820338,827629,834711,841734,848495,855212,861650,868128,874383,880571,886695,892687,898545,904242,909834,915230,920604,926002,931278,936527,941548,946435,951130,955926,960652,965221,969727,974160,978579,982942,987146,991294,995440,999547,1003582,1007464,1011260,1015028,1018762,1022456,1026068,1029502,1032973,1036221,1039592,1042851,1046120,1049278,1052511,
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435482,13266,75084,174572,289412,404034,512241,611857,703290,786077,860710,927812,989197,1044800,1095483,1142172,1184693,1224238,1260741,1294441,1325918,1355110,1382548,1407940,1431654,1454028,1475049,1494641,1513373,1530866,1547275,1563017,1577899,1592160,1605756,1618541,1630751,1642457,1653509,1664115,1674346,1683935,1693491,1702590,1711390,1719695,1727551,1735322,1742770,1749855,1756628,1763283,1769800,1776055,1782072,1787824,1793386,1798742,1804010,1809110,1813948,1818649,1823296,1827888,1832292,1836516,1840483,1844484,1848316,1852118,1855764,1859311,1862766,1866069,1869379,1872577,1875749,1878800,1881729,1884621,1887418,1890011,1892617,1895204,1897806,1900315,1902815,1905171,1907497,1909821,1912088,1914268,1916393,1918446,1920551,1922544,1924537,1926455,1928381,1930208,1932098,1933854,1935560,1937222,1938947,1940642,1942251,1943862,1945425,1946887,1948327,1949812,1951248,1952688,1954020,1955401,1956738,1957950,1959287,1960537,
43553,3387,29237,86003,163000,248746,337046,422560,503865,580536,651266,716574,777311,833588,884520,932549,976974,1018327,1056789,1092842,1126553,1158063,1187492,1215024,1241291,1265657,1288881,1310724,1331522,1351117,1369585,1387183,1403577,1419441,1434663,1449136,1462926,1476202,1488936,1501002,1512530,1523518,1534094,1544277,1554384,1563867,1573034,1581643,1590224,1598371,1606362,1613870,1621373,1628400,1635349,1642068,1648492,1654706,1660777,1666696,1672283,1677868,1683339,1688618,1693781,1698680,1703483,1708063,1712549,1717036,1721218,1725249,1729297,1733389,1737297,1741046,1744837,1748406,1751736,1755200,1758340,1761541,1764616,1767790,1770837,1773874,1776795,1779604,1782309,1785057,1787707,1790313,1792790,1795258,1797704,1800186,1802450,1804621,1806857,1809082,1811237,1813368,1815457,1817486,1819545,1821479,1823443,1825376,1827238,1829025,1830801,1832466,1834189,1835918,1837639,1839249,1840776,1842341,1843841,1845399,
43560,393,7496,30495,70721,123590,183633,246926,311259,374037,434652,492572,548076,599747,649258,695267,738757,779588,818166,854545,888800,921425,952066,981245,1008735,1034793,1059310,1082892,1105254,1126424,1146630,1165987,1184291,1201955,1218827,1235096,1250446,1265347,1279477,1293168,1306302,1318906,1330844,1342536,1353607,1364477,1375121,1385174,1394864,1404152,1413256,1421974,1430463,1438626,1446402,1454238,1461833,1469082,1476190,1482941,1489509,1496062,1502188,1508070,1513962,1519725,1525186,1530525,1535844,1540867,1545857,1550831,1555546,1560144,1564674,1569042,1573363,1577579,1581714,1585773,1589681,1593480,1597132,1600727,1604152,1607664,1611104,1614431,1617778,1620968,1624092,1627151,1630124,1633027,1635799,1638570,1641386,1644076,1646659,1649384,1651899,1654418,1656869,1659322,1661666,1663906,1666201,1668420,1670626,1672746,1674796,1676929,1678943,1680897,1682804,1684751,1686719,1688607,1690418,1692162,
43570,28,956,6245,19849,42456,72612,109506,149949,192750,236260,280068,323437,366103,407613,447801,486330,522778,558020,591957,623955,654935,684335,712875,740046,765855,791055,814860,837617,859162,880249,900458,919564,937977,955858,973045,989558,1005283,1020650,1035439,1049675,1063362,1076549,1089313,1101631,1113636,1125040,1136236,1146977,1157415,1167477,1177331,1186830,1196112,1205105,1213826,1222245,1230402,1238372,1246065,1253359,1260696,1267861,1274575,1281180,1287741,1294249,1300360,1306485,1312389,1318176,1323818,1329232,1334559,1339756,1344874,1349966,1354776,1359589,1364251,1368817,1373396,1377672,1381962,1386121,1390303,1394240,1398113,1401943,1405609,1409283,1412848,1416305,1419738,1423239,1426601,1429892,1433132,1436312,1439443,1442400,1445474,1448373,1451249,1454041,1456787,1459454,1462089,1464626,1467225,1469821,1472186,1474627,1476955,1479284,1481500,1483837,1486098,1488320,1490507,
43580,4,204,2053,8067,19816,38037,61781,89690,121474,154919,189563,224750,259800,295243,329586,363164,396044,428226,459029,488881,517581,545531,572407,598257,623019,647079,669817,691776,713067,733706,753529,772532,790929,808507,825649,842047,857928,873270,888046,902575,916611,930164,943112,955885,968165,980084,991397,1002491,1013356,1023708,1033816,1043545,1053208,1062617,1071647,1080465,1089118,1097454,1105564,1113350,1121031,1128593,1135776,1142767,1149746,1156482,1163115,1169355,1175483,1181517,1187636,1193554,1199153,1204811,1210264,1215527,1220746,1225925,1230930,1235841,1240530,1245162,1249785,1254224,1258648,1262900,1267028,1271040,1275046,1279022,1282823,1286639,1290353,1294023,1297598,1301115,1304578,1308053,1311411,1314560,1317790,1320901,1323950,1327052,1329978,1332915,1335892,1338690,1341444,1344100,1346805,1349378,1351897,1354437,1356995,1359370,1361847,1364211,1366602,
43590,0,38,557,2715,7908,16952,30176,47098,67250,90071,114766,140865,167746,195245,222900,250563,278197,305347,331711,357746,383321,407932,432146,455440,478190,500509,521882,542706,562718,582314,601236,619440,637165,654412,670939,687071,702650,717775,732356,746726,760550,773723,786729,799478,811560,823249,834720,846001,856923,867414,877746,887863,897679,907277,916533,925572,934415,942952,951179,959308,967183,974908,982435,989835,997045,1003985,1010867,1017687,1024285,1030640,1036857,1042924,1048884,1054686,1060285,1065898,1071277,1076541,1081870,1087137,1092177,1097110,1101896,1106578,1111058,1115681,1120174,1124480,1128758,1132875,1136930,1140857,1144743,1148596,1152376,1156182,1159910,1163468,1166969,1170443,1173881,1177168,1180389,1183591,1186808,1189888,1193009,1196032,1199020,1201965,1204903,1207659,1210372,1213158,1215828,1218483,1221129,1223703,1226205,
43600,0,7,92,621,2369,5788,11807,20352,31255,44750,59966,77072,95473,114602,134543,155027,176189,197273,218114,239328,260222,280688,301198,321315,341057,360427,379308,397808,415683,433380,450598,467227,483226,498871,514235,529288,543841,558240,572090,585391,598606,611329,623919,636406,648613,660104,671231,682127,692596,702916,713155,722976,732674,742037,751269,760176,768817,777295,785614,793768,801695,809538,817187,824532,831816,839000,846014,852914,859558,866230,872512,878671,884897,890946,896788,902544,908169,913624,918890,924287,929426,934483,939370,944211,949090,953852,958547,962988,967334,971653,975905,980157,984359,988261,992216,996097,999914,1003786,1007464,1010972,1014574,1018114,1021579,1024922,1028241,1031589,1034964,1038127,1041244,1044248,1047177,1050107,1053031,1055904,1058755,1061511,1064168,1066893,1069586,
43610,0,1,8,90,419,1376,3302,6548,11358,17606,25530,34725,45196,56862,69469,82702,96668,111068,125883,141068,156576,172141,187763,203410,218658,233870,249052,264127,278973,293796,308075,322140,335996,349841,363372,376468,389567,402079,414501,426486,438397,449972,461466,472514,483374,494129,504414,514483,524415,534396,543992,553510,562396,571339,580118,588815,597289,605538,613714,621603,629432,637111,644477,651821,658902,665881,672784,679551,686207,692661,698992,705111,711093,716920,722597,728329,733865,739329,744692,750015,755197,760209,765270,770201,775142,779867,784556,789124,793591,797938,802271,806530,810692,814768,818770,822830,826715,830554,834338,838063,841639,845261,848822,852260,855667,859086,862366,865593,868832,871968,875046,878056,881114,884237,887223,890081,892933,895733,898506,
43620,0,0,2,19,111,461,1296,2953,5335,8823,13416,18978,25606,33132,41729,51116,61090,71636,82946,94601,106535,118769,131098,143695,156311,168942,181631,194239,206982,219625,231822,243920,255959,268000,279876,291525,302953,314213,325395,336296,347209,357755,368084,378308,388427,398221,407712,417145,426393,435601,444411,453157,461727,470207,478566,486819,494825,502590,510408,517838,525309,532391,539572,546614,553392,560141,566679,573184,579496,585746,591953,597861,603790,609557,615170,620609,626090,631370,636622,641766,646888,651846,656659,661587,666502,671121,675675,680290,684681,688963,693405,697672,701903,706072,710004,714007,717828,721686,725462,729211,732863,736315,739953,743365,746802,750123,753442,756654,759966,763153,766304,769288,772314,775392,778331,781231,784166,787008,789744,
43630,0,0,1,7,36,149,377,986,2003,3595,5936,8937,12760,17299,22562,28558,35237,42430,50107,58422,66905,75662,84673,94098,103834,113739,123710,133635,143783,153944,164149,174080,184062,194067,204072,213931,223775,233288,242912,252295,261721,271060,280128,289079,298031,306777,315294,323928,332196,340169,348077,355944,363809,371597,379145,386500,393791,400920,408023,415126,422011,428816,435505,441909,448386,454661,460888,466943,472970,479033,484835,490519,496220,501624,507091,512539,517864,522906,527855,532839,537699,542492,547238,551983,556507,561039,565504,569716,574052,578296,582513,586504,590526,594445,598385,602384,605976,609724,613399,617055,620554,624062,627530,630932,634346,637666,640899,644073,647206,650398,653477,656494,659558,662576,665517,668290,671180,673915,676616,
43640,0,0,0,1,4,21,94,277,651,1282,2253,3616,5484,7844,10680,13974,17871,22204,26968,32096,37651,43534,49666,56241,62873,69945,77342,84787,92251,99950,107806,115485,123210,131043,138980,146794,154729,162651,170365,178008,185809,193423,200893,208357,215670,222969,230229,237552,244726,251903,258911,265897,272735,279505,286067,292529,299181,305681,311972,318286,324287,330316,336186,342012,347903,353742,359404,364992,370427,375855,381257,386498,391699,396812,401922,406914,411757,416571,421248,425934,430522,434941,439262,443450,447654,451967,456151,460180,464203,468268,472210,476075,479934,483762,487597,491356,495029,498608,502181,505663,509056,512437,515777,519027,522261,525369,528463,531666,534748,537787,540776,543730,546670,549502,552346,555069,557922,560706,563381,
43650,0,0,0,0,1,4,17,60,149,322,617,1122,1831,2755,4034,5566,7439,9765,12294,15148,18335,21855,25642,29741,34015,38441,43202,48027,53096,58164,63427,68996,74519,80192,85931,91668,97532,103554,109603,115488,121279,127241,133100,139139,145006,150917,156770,162468,168170,174152,179804,185435,191194,196746,202271,207719,213055,218492,223895,229084,234286,239452,244577,249592,254466,259439,264325,269116,273885,278585,283199,287698,292317,296800,301386,305810,310175,314447,318589,322827,326944,331019,335035,338986,342968,346828,350597,354330,357996,361672,365309,368858,372313,375852,379321,382728,386030,389298,392518,395819,398993,402100,405165,408246,411294,414236,417154,420079,422961,425796,428647,431455,434196,436888,439474,442148,444704,447300,449842,
43660,0,0,0,0,0,1,3,7,25,65,137,262,487,791,1219,1796,2530,3393,4468,5813,7349,9001,10819,12909,15212,17664,20214,22987,25898,29122,32396,35689,39026,42721,46374,50312,54257,58176,62174,66258,70462,74714,78887,83163,87415,91669,95943,100192,104543,108841,113190,117466,121694,125897,130014,134226,138535,142736,146991,151183,155364,159481,163553,167592,171681,175872,179881,183742,187644,191514,195333,199142,203040,206807,210548,214201,217849,221463,225097,228623,232135,235640,239036,242391,245738,249009,252230,255484,258685,261832,264988,268099,271155,274193,277169,280172,283092,286027,288948,291779,294608,297429,300160,302826,305500,308194,310850,313515,316122,318686,321285,323828,326179,328646,331158,333546,335917,338230,340566,
43670,0,0,0,0,0,0,0,2,6,12,28,49,100,180,309,512,771,1122,1536,2040,2713,3513,4402,5416,6551,7767,9186,10705,12291,14022,15784,17768,19816,21976,24212,26532,29019,31414,34035,36691,39362,42063,44872,47760,50647,53603,56574,59581,62676,65697,68781,71978,75078,78212,81421,84486,87668,90917,94102,97267,100518,103667,106885,110083,113238,116344,119499,122585,125664,128716,131804,134817,137886,140885,143851,146849,149792,152643,155585,158455,161353,164271,167054,169942,172779,175556,178286,181107,183773,186425,189060,191656,194309,196931,199520,202020,204500,206975,209472,211857,214258,216653,219021,221372,223746,225999,228311,230589,232895,235104,237250,239462,241662,243815,245956,248051,250190,252254,254220,
43680,0,0,0,0,0,0,0,0,0,0,2,8,17,28,62,104,158,250,381,535,734,1015,1305,1667,2067,2563,3138,3777,4470,5263,6121,7077,8080,9173,10295,11460,12698,14035,15442,16871,18385,19935,21579,23231,24982,26698,28591,30464,32299,34300,36193,38202,40182,42227,44247,46267,48391,50517,52711,54842,57061,59131,61310,63472,65677,67935,70069,72278,74443,76744,78948,81247,83463,85613,87738,89930,92058,94251,96307,98492,100676,102901,105063,107202,109305,111507,113629,115706,117800,119901,121956,124023,126079,128049,130049,132006,134080,136036,137887,139905,141803,143745,145732,147585,149423,151222,153056,154921,156807,158693,160523,162294,164084,165851,167599,169339,171052,172683,174378,
43690,0,0,0,0,0,0,0,0,0,0,0,0,1,2,6,7,15,28,44,68,107,161,228,321,427,545,687,853,1050,1300,1548,1856,2200,2583,3020,3483,3950,4495,5103,5690,6330,7060,7750,8534,9317,10178,11067,11916,12832,13750,14710,15746,16831,17872,18930,20039,21207,22403,23587,24780,25970,27206,28430,29731,31010,32307,33520,34862,36196,37543,38961,40332,41742,43148,44545,45940,47344,48733,50148,51576,52944,54346,55785,57223,58575,59986,61365,62744,64106,65493,66958,68389,69850,71272,72719,74097,75539,76966,78362,79733,81123,82506,83894,85304,86676,87972,89345,90707,92025,93369,94705,96090,97415,98709,100008,101271,102543,103748,105023,
43700,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,7,10,10,17,27,49,67,90,110,142,178,222,282,359,432,531,648,772,892,1034,1187,1361,1567,1752,1976,2209,2480,2742,2989,3304,3613,3916,4271,4673,5055,5447,5863,6293,6745,7208,7711,8180,8681,9185,9707,10240,10787,11351,11917,12495,13071,13711,14301,14937,15603,16250,16881,17568,18279,18983,19712,20426,21135,21833,22576,23299,23978,24725,25465,26212,27025,27740,28489,29272,30003,30743,31522,32297,33110,33892,34623,35408,36212,36963,37765,38552,39344,40125,40899,41635,42481,43303,44071,44869,45642,46436,47244,48025,48809,
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4372250,23244,103211,216257,336410,451749,557203,653083,739077,816158,884914,946992,1003037,1053662,1099421,1141516,1180160,1216048,1248799,1279419,1307588,1334059,1358344,1381362,1402878,1422895,1441851,1459595,1476290,1492209,1507324,1521416,1534810,1547873,1560103,1572037,1583111,1593734,1604117,1613924,1623153,1632091,1640675,1648792,1656769,1664479,1671879,1678914,1685505,1692061,1698412,1704469,1710406,1716084,1721626,1727001,1732277,1737230,1742064,1746780,1751382,1755796,1760133,1764256,1768224,1772107,1775932,1779567,1783159,1786691,1790196,1793559,1796785,1800018,1803109,1806048,1808965,1811778,1814638,1817512,1820132,1822726,1825287,1827659,1830047,1832435,1834748,1837039,1839310,1841495,1843606,1845750,1847842,1849782,1851751,1853686,1855560,1857387,1859315,1861074,1862794,1864525,1866277,1867895,1869498,1871041,1872484,1873988,1875519,1877005,1878449,1879903,1881291,1882649,1883980,1885307,1886583,1887905,1889160,1890372,
437324,7450,47221,119448,207451,299584,389571,475086,554006,626934,693734,755066,811294,862327,909891,953228,993140,1030604,1064959,1097246,1127644,1156070,1182369,1207170,1230385,1252098,1273099,1292550,1311024,1328478,1345178,1361018,1376196,1390680,1404300,1417286,1429898,1441865,1453258,1464083,1474573,1484780,1494380,1503695,1512618,1521157,1529430,1537372,1545071,1552475,1559713,1566678,1573502,1579974,1586213,1592257,1598018,1603727,1609177,1614504,1619751,1624844,1629747,1634504,1638960,1643609,1648058,1652320,1656570,1660529,1664423,1668252,1671924,1675505,1679101,1682605,1686012,1689316,1692480,1695672,1698766,1701800,1704767,1707555,1710447,1713104,1715731,1718412,1721019,1723500,1725973,1728426,1730786,1733082,1735368,1737646,1739899,1742080,1744120,1746128,1748126,1750133,1752178,1754073,1755823,1757652,1759398,1761168,1762961,1764709,1766412,1768017,1769640,1771236,1772816,1774307,1775807,1777281,1778751,1780194,
43741,1398,15311,50668,103804,167267,235115,303292,369544,432587,492356,548926,601683,650896,696441,739502,779736,817030,852172,885370,916587,946032,973920,999887,1024743,1047951,1069919,1091211,1110993,1129784,1147820,1164762,1180933,1196860,1211781,1226256,1239960,1253152,1265625,1277881,1289449,1300564,1311360,1321619,1331662,1341388,1350537,1359694,1368360,1376814,1384952,1392780,1400350,1407691,1414764,1421578,1428249,1434918,1441316,1447455,1453425,1459074,1464607,1470039,1475344,1480529,1485454,1490247,1494897,1499457,1503875,1508327,1512655,1516913,1520909,1524883,1528774,1532582,1536303,1539904,1543450,1546887,1550286,1553556,1556745,1559993,1563128,1566130,1569043,1571937,1574732,1577578,1580308,1583109,1585711,1588334,1590791,1593250,1595743,1598112,1600456,1602802,1605071,1607290,1609410,1611559,1613685,1615769,1617739,1619644,1621573,1623474,1625309,1627229,1629101,1630914,1632736,1634429,1636112,1637817,
43750,112,2927,14401,37419,70054,110721,155418,202099,249312,296550,342477,386484,429263,470202,508904,546042,581189,614451,646170,676463,705182,732636,758599,783192,807144,829649,851131,871589,891065,909804,927915,945352,962077,977902,993263,1008004,1022426,1035736,1048819,1061469,1073763,1085407,1096683,1107752,1118359,1128792,1138668,1148245,1157494,1166441,1175240,1183621,1191824,1199728,1207411,1214799,1222043,1229021,1235851,1242593,1249067,1255326,1261601,1267694,1273373,1279063,1284574,1290101,1295364,1300444,1305439,1310258,1315051,1319862,1324347,1328785,1333104,1337370,1341500,1345526,1349528,1353432,1357190,1360877,1364434,1368096,1371536,1374980,1378253,1381544,1384773,1387924,1390988,1394031,1396964,1399907,1402803,1405623,1408482,1411132,1413765,1416367,1419031,1421563,1424070,1426568,1429033,1431470,1433799,1436121,1438286,1440513,1442678,1444798,1446810,1448871,1450867,1452828,1454778,
43760,19,876,5987,18371,38865,66145,98530,134101,171783,209849,248417,286364,323602,360320,395429,428968,461525,492811,522632,551083,578566,605047,630135,654061,677239,699510,720983,741146,760855,779623,797583,814970,831764,847740,863100,878115,892444,905986,919323,932397,944755,956708,968257,979368,990224,1000768,1011031,1020742,1030520,1039817,1048913,1057569,1066027,1074414,1082431,1090391,1098064,1105374,1112664,1119630,1126271,1133101,1139573,1145706,1151821,1157811,1163740,1169351,1174903,1180277,1185446,1190514,1195520,1200538,1205386,1210191,1214720,1219191,1223710,1228030,1232178,1236396,1240424,1244348,1248217,1252016,1255700,1259301,1262874,1266427,1269726,1273058,1276367,1279632,1282803,1286058,1289175,1292137,1295087,1297956,1300792,1303591,1306300,1309004,1311699,1314241,1316896,1319416,1321934,1324484,1326937,1329292,1331601,1333924,1336185,1338378,1340551,1342680,1344748,
43770,3,217,1891,7367,18148,34174,54633,79185,106419,134949,165097,195839,226371,256595,286359,315569,344132,371811,398736,424594,449879,474090,497549,520055,542004,563244,583510,602913,621908,640132,657889,674915,691232,707242,722474,737338,751650,765388,778715,791536,804036,815995,827712,839071,850207,861059,871672,881748,891571,901031,910361,919502,928245,936796,945083,953053,961008,968810,976212,983474,990472,997299,1003993,1010662,1016896,1023114,1029252,1035153,1040915,1046595,1052078,1057395,1062638,1067815,1072850,1077731,1082625,1087455,1092107,1096673,1101138,1105420,1109701,1113894,1118006,1121930,1125964,1129874,1133751,1137458,1141101,1144642,1148159,1151584,1154945,1158227,1161428,1164551,1167635,1170604,1173647,1176631,1179570,1182463,1185299,1188055,1190812,1193498,1196058,1198702,1201258,1203782,1206302,1208650,1211042,1213426,1215771,1218071,1220250,
43780,0,30,490,2275,6721,14512,25661,40031,57185,76632,97449,119226,142294,165352,189044,212845,235954,258933,281523,303874,325728,347112,367819,388073,407686,426901,445513,463544,481058,498175,514799,530838,546414,561755,576408,590613,604241,617558,630429,643171,655317,667280,678811,690068,701263,711721,722138,732116,741908,751411,760662,769612,778232,786703,795043,803275,811259,818997,826584,834077,841336,848092,854954,861610,868284,874612,880870,886941,892807,898594,904266,909825,915293,920702,925852,931095,936138,941007,945745,950449,955110,959600,964187,968535,972834,977095,981174,985268,989227,993073,996916,1000610,1004207,1007793,1011471,1014936,1018432,1021795,1025056,1028291,1031451,1034630,1037715,1040682,1043738,1046650,1049547,1052394,1055141,1057878,1060699,1063355,1065932,1068535,1071000,1073530,1075951,1078411,1080726,
43790,0,0,63,500,1765,4655,9441,16207,24985,35937,48321,61914,76828,92523,109105,126138,143641,161265,178775,196397,213974,231447,248477,265321,282125,298025,313818,329147,344693,359620,374085,388492,402890,416463,429585,442470,455089,467336,479308,491017,502632,513980,524888,535662,545909,555864,565765,575306,584776,593958,602922,611484,619862,628189,636292,644210,651858,659521,666960,674130,681350,688311,695134,701677,708207,714627,720934,726956,732861,738867,744437,749987,755444,760885,766152,771210,776342,781358,786252,790975,795703,800438,804958,809537,814020,818307,822442,826567,830634,834701,838708,842584,846460,850241,853957,857535,861037,864546,867918,871334,874538,877766,880926,884109,887179,890236,893373,896253,899191,902074,904867,907611,910336,913021,915628,918312,920900,923454,926014,
43800,0,0,14,150,664,1948,4406,8200,13597,20538,28784,38326,48822,60380,72701,85720,98966,112830,127021,141298,155640,170098,184464,198897,213205,227290,241398,255178,268614,281904,295118,307643,320348,332595,344778,356693,368137,379502,390581,401374,411889,422309,432366,442377,452175,461769,471037,480036,488954,497932,506476,514842,523035,531157,539016,546762,554286,561530,568762,575855,582798,589628,596329,602750,609198,615443,621572,627761,633682,639539,645197,650834,656193,661524,666746,671740,676746,681763,686657,691283,695883,700452,705002,709418,713828,718104,722350,726457,730471,734363,738393,742339,746116,749931,753593,757279,760774,764386,767858,771219,774474,777778,780984,784209,787281,790295,793385,796355,799350,802204,805071,807919,810622,813298,816015,818606,821244,823856,826428,
43810,0,0,1,24,173,654,1641,3551,6395,10186,14896,20759,27505,35230,43582,52507,62101,72297,82971,93761,104977,116196,127606,139314,150997,162640,174335,185899,197324,208530,219821,230900,241917,252823,263651,273975,284391,294320,304240,313951,323784,333255,342393,351505,360340,369097,377843,386230,394537,402730,410796,418546,426333,433853,441114,448420,455527,462436,469295,476128,482783,489198,495568,501851,508059,514191,520028,525793,531671,537147,542677,548004,553287,558535,563541,568624,573736,578635,583314,587901,592426,596847,601283,605689,609934,614063,618206,622336,626357,630234,634169,638026,641708,645488,649154,652720,656097,659610,663009,666286,669587,672774,675992,679124,682149,685196,688275,691364,694330,697181,700034,702885,705673,708336,710978,713690,716341,718953,721488,
43820,0,0,1,5,41,156,479,1149,2358,4161,6569,9724,13631,18175,23458,29281,35680,42445,49678,57442,65353,73627,82063,90696,99697,108703,117762,126778,135919,145141,154202,163390,172389,181364,190450,199343,208046,216587,225144,233640,241872,250038,258248,266221,274167,281784,289366,296919,304418,311882,319010,326083,333041,340007,346872,353461,359967,366289,372736,378968,385152,391138,397191,403007,408715,414288,419625,424927,430254,435535,440687,445721,450744,455718,460564,465226,470011,474595,479150,483650,488062,492317,496578,500711,504773,508859,512754,516600,520461,524201,527929,531550,535154,538812,542352,545756,549230,552541,555915,559211,562343,565488,568603,571769,574772,577828,580850,583703,586548,589387,592192,594991,597761,600428,603101,605649,608169,610706,613192,
43830,0,0,0,0,5,24,95,305,684,1344,2304,3690,5528,7759,10570,13735,17419,21319,25748,30650,35678,41048,46887,52867,58845,65143,71698,78371,84986,91770,98603,105458,112470,119304,126208,133258,140297,147123,154032,160820,167824,174599,181501,188141,194746,201135,207594,213885,220223,226588,232804,238944,244958,250900,256868,262564,268202,273783,279274,284750,290104,295434,300727,305855,311016,315988,320876,325870,330725,335423,340076,344717,349355,353748,358195,362605,366977,371274,375493,379528,383578,387523,391423,395368,399269,402970,406821,410482,414194,417741,421257,424773,428210,431510,434795,438127,441452,444552,447732,450938,453966,456968,459890,462745,465601,468460,471205,473985,476832,479580,482350,484986,487618,490213,492705,495269,497746,500172,502455,
43840,0,0,0,0,0,3,16,56,156,315,602,1064,1741,2624,3729,5144,6829,8825,11056,13633,16317,19300,22534,25988,29712,33613,37578,41936,46313,50851,55380,60031,64763,69635,74536,79522,84548,89661,94720,99939,104928,109930,114991,120032,125043,130074,135216,140237,145322,150191,155068,160004,164970,169886,174688,179449,184164,188706,193235,197847,202226,206702,211210,215472,219807,224035,228222,232452,236510,240404,244487,248473,252399,256419,260330,264072,267841,271620,275255,278864,282481,286077,289565,293024,296327,299674,303081,306326,309575,312791,315925,318990,322121,325192,328117,331128,334097,337080,339974,342812,345585,348371,351144,353866,356618,359286,361915,364477,367048,369583,372089,374486,376917,379246,381622,383984,386360,388636,390882,
43850,0,0,0,0,0,2,2,10,30,62,124,246,458,742,1191,1763,2474,3312,4256,5547,7001,8555,10288,12128,14120,16387,18711,21202,23837,26588,29442,32416,35460,38601,41838,45104,48570,52033,55762,59309,62903,66610,70288,74103,77795,81626,85439,89123,92906,96674,100437,104236,107980,111717,115461,119233,122911,126562,130198,133935,137507,141091,144625,148286,151897,155325,158808,162277,165700,168975,172396,175741,179025,182260,185448,188682,191996,195047,198192,201314,204343,207415,210409,213391,216280,219158,221979,224950,227829,230612,233380,236059,238762,241380,244047,246565,249175,251604,254153,256666,259120,261551,263918,266336,268647,271060,273330,275576,277805,280067,282342,284560,286732,288902,291069,293150,295201,297254,299306,
43860,0,0,0,0,0,0,0,0,1,6,15,38,92,164,264,402,605,895,1260,1683,2227,2843,3539,4358,5287,6297,7427,8651,9921,11370,12897,14526,16180,17929,19734,21708,23596,25639,27699,29834,32104,34337,36726,39137,41551,44018,46412,48942,51413,53889,56373,58969,61573,64126,66838,69381,71983,74645,77304,79916,82613,85232,87870,90376,92951,95624,98216,100790,103372,105885,108422,110921,113540,116119,118637,121086,123464,125947,128407,130859,133317,135808,138201,140569,142998,145347,147624,149890,152217,154475,156730,158902,161154,163343,165467,167622,169680,171810,173954,176117,178125,180230,182275,184275,186243,188164,190178,192066,194040,195924,197858,199749,201547,203331,205115,206937,208708,210449,212177,
43870,0,0,0,0,0,0,0,0,0,0,0,3,7,14,28,44,83,135,215,310,431,599,788,1031,1300,1618,2003,2443,2934,3443,3990,4618,5284,6025,6803,7626,8467,9375,10365,11390,12421,13565,14656,15834,17083,18362,19615,20965,22304,23707,25085,26586,28020,29549,31118,32598,34203,35747,37382,38895,40498,42118,43758,45370,47040,48709,50380,52022,53637,55291,56938,58536,60257,62000,63689,65396,67129,68845,70573,72311,73949,75612,77318,78983,80673,82369,84049,85679,87382,89059,90666,92366,93993,95632,97267,98818,100380,101943,103557,105107,106664,108269,109759,111330,112854,114341,115883,117333,118734,120244,121697,123166,124612,126024,127494,128939,130309,131737,133076,
43880,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,6,10,20,30,36,61,89,121,173,230,306,376,472,581,715,845,1022,1201,1401,1635,1881,2121,2422,2748,3086,3495,3882,4288,4719,5164,5622,6111,6632,7205,7781,8352,8930,9532,10143,10815,11443,12136,12874,13577,14306,15046,15788,16587,17383,18162,19005,19811,20652,21486,22309,23146,24076,24907,25731,26588,27486,28421,29294,30232,31145,32103,33051,33905,34833,35726,36701,37592,38517,39481,40396,41372,42334,43269,44206,45108,46090,47036,47927,48932,49884,50840,51786,52687,53652,54549,55450,56415,57290,58179,59109,60098,61024,61967,62894,63832,64723,65595,
43897851,124894,314190,496521,654377,786792,898311,992978,1074321,1144212,1205044,1258695,1306317,1348193,1386230,1420552,1451795,1480537,1506687,1530646,1552703,1573286,1592206,1609997,1626553,1642024,1656416,1670080,1683025,1694983,1706310,1716983,1727007,1736793,1746225,1754992,1763416,1771399,1779221,1786594,1793510,1800056,1806441,1812759,1818669,1824392,1829863,1835128,1840240,1845215,1849988,1854659,1859041,1863313,1867438,1871442,1875374,1879142,1882799,1886300,1889699,1893009,1896312,1899434,1902443,1905327,1908254,1911038,1913693,1916344,1918958,1921477,1924028,1926311,1928588,1930818,1933091,1935310,1937411,1939443,1941431,1943371,1945346,1947159,1948964,1950741,1952448,1954217,1955900,1957583,1959207,1960767,1962279,1963761,1965235,1966670,1968123,1969519,1970896,1972309,1973636,1974938,1976230,1977468,1978688,1979890,1981030,1982140,1983325,1984391,1985534,1986593,1987635,1988682,1989711,1990686,1991720,1992713,1993692,1994618,
4390654,34276,130496,252846,376301,490544,593713,685308,766695,838869,903261,961158,1013189,1060233,1102522,1141600,1177313,1209932,1240402,1268663,1294712,1318995,1341473,1362708,1382426,1401035,1418295,1434790,1450066,1464909,1478687,1492004,1504640,1516488,1527960,1538892,1549219,1559313,1568608,1577669,1586418,1594670,1602671,1610309,1617715,1624764,1631554,1638238,1644590,1650769,1656659,1662391,1667939,1673189,1678450,1683471,1688302,1692993,1697504,1701884,1706206,1710244,1714277,1718245,1722152,1725870,1729487,1732957,1736349,1739695,1742966,1746192,1749335,1752409,1755274,1758156,1760967,1763704,1766351,1769132,1771667,1774146,1776554,1778939,1781319,1783674,1785879,1788089,1790267,1792399,1794483,1796499,1798524,1800481,1802372,1804216,1806019,1807795,1809441,1811191,1812954,1814580,1816224,1817858,1819380,1820832,1822294,1823720,1825166,1826580,1828004,1829387,1830752,1832121,1833437,1834776,1836067,1837287,1838535,1839720,
439178,12895,66184,150847,246663,342117,432772,516409,592828,662588,725840,783210,835733,883643,927656,967955,1004972,1039409,1071351,1101326,1129095,1155195,1179621,1202570,1223820,1243979,1263160,1281084,1298157,1314035,1329242,1343839,1357699,1370707,1383096,1395124,1406548,1417472,1427945,1437963,1447558,1456922,1465869,1474436,1482664,1490477,1498130,1505490,1512673,1519610,1526015,1532428,1538570,1544689,1550526,1556126,1561696,1566993,1572161,1577126,1582038,1586689,1591286,1595715,1599975,1604136,1608154,1612297,1616170,1619990,1623716,1627474,1630890,1634385,1637676,1640915,1644104,1647234,1650248,1653192,1656053,1658936,1661646,1664377,1667092,1669610,1672132,1674637,1677061,1679477,1681802,1684072,1686303,1688474,1690641,1692824,1694876,1696916,1698907,1700808,1702685,1704595,1706423,1708248,1710057,1711849,1713506,1715206,1716918,1718563,1720167,1721727,1723303,1724848,1726240,1727739,1729200,1730571,1732011,1733377,
43926,3189,25920,73176,136383,207044,278770,348604,415177,477904,536516,590729,640625,687550,730851,771003,808510,843483,876130,906839,935767,963099,988951,1013130,1035703,1057055,1077274,1096360,1114628,1131679,1148453,1164180,1179197,1193536,1207398,1220462,1233115,1245300,1256858,1267895,1278595,1288954,1298846,1308378,1317550,1326426,1334906,1343177,1351041,1358812,1366012,1373266,1380240,1387065,1393598,1399965,1406271,1412187,1417952,1423562,1429029,1434289,1439376,1444495,1449208,1453828,1458431,1462869,1467278,1471522,1475580,1479585,1483486,1487392,1491196,1494895,1498440,1501902,1505336,1508613,1511975,1515147,1518240,1521222,1524339,1527415,1530310,1533124,1535941,1538712,1541407,1543960,1546529,1549005,1551466,1553866,1556302,1558729,1560977,1563192,1565269,1567447,1569636,1571748,1573747,1575815,1577760,1579675,1581575,1583446,1585314,1587146,1588858,1590633,1592319,1594000,1595636,1597296,1598879,1600486,
43930,363,6222,24640,56654,98290,145355,195503,246239,296422,344511,391034,435092,477227,517092,554205,589659,623270,655072,684985,713389,740258,766065,790302,813415,835395,856379,876315,895538,913590,930770,947333,963475,978796,993567,1007440,1020974,1033761,1046224,1058246,1069815,1080952,1091701,1102069,1112108,1121786,1131283,1140211,1149104,1157547,1165943,1173916,1181750,1189343,1196589,1203556,1210307,1216908,1223397,1229666,1235764,1241718,1247531,1253049,1258622,1263978,1269198,1274120,1278864,1283618,1288429,1293078,1297594,1301988,1306155,1310385,1314466,1318572,1322352,1326136,1329813,1333426,1337031,1340503,1344016,1347292,1350636,1353884,1357069,1360078,1363117,1366036,1368915,1371817,1374654,1377425,1380123,1382770,1385398,1387870,1390396,1392863,1395204,1397604,1399885,1402165,1404414,1406578,1408719,1410951,1413092,1415259,1417305,1419341,1421270,1423188,1425105,1426989,1428847,1430658,
43940,85,2348,11940,31187,59426,93763,132712,173055,214496,256019,296207,335367,373123,409188,443924,477229,508988,539083,567621,595199,621421,646331,670465,693229,715040,735543,755281,774136,792482,809924,826668,842579,857861,872647,887023,900765,914137,926806,939030,950761,962080,973058,983598,993963,1004011,1013837,1023353,1032481,1041236,1049785,1058176,1066157,1073869,1081590,1088937,1096100,1103066,1109867,1116434,1122797,1128961,1135181,1141091,1146871,1152506,1157940,1163312,1168351,1173374,1178397,1183309,1187999,1192631,1197109,1201465,1205831,1210057,1214198,1218205,1222235,1226273,1230107,1233781,1237376,1241018,1244408,1247926,1251299,1254610,1257711,1260904,1263946,1267019,1270108,1272952,1275852,1278706,1281440,1284148,1286783,1289404,1292080,1294628,1297136,1299619,1301933,1304233,1306504,1308734,1311086,1313217,1315425,1317604,1319690,1321727,1323752,1325764,1327733,1329653,
43950,14,681,4591,14440,31069,53489,80544,110673,142491,175419,208753,241702,273897,305676,336446,366389,394911,422486,449236,474903,499624,523190,545746,567656,588780,608916,628128,646547,664338,681526,697928,713890,729219,744061,758452,772412,785704,798481,810858,822729,834388,845431,856246,866642,876743,886647,896254,905574,914602,923311,931946,940074,948177,956181,963839,971277,978414,985520,992322,998874,1005315,1011769,1017939,1023984,1029842,1035467,1041112,1046588,1051896,1057106,1062078,1066963,1071703,1076362,1081093,1085654,1090059,1094391,1098666,1102761,1106850,1110825,1114746,1118598,1122451,1126170,1129833,1133328,1136922,1140297,1143677,1146871,1150159,1153280,1156336,1159376,1162499,1165307,1168218,1171167,1173943,1176646,1179292,1181908,1184493,1187055,1189520,1191945,1194311,1196722,1199031,1201395,1203667,1205922,1208165,1210236,1212299,1214427,1216511,
43960,1,143,1367,5396,13639,26067,42480,62035,84152,108182,133046,158530,184363,210308,235669,260955,285691,309738,333233,355953,378211,399440,420110,440183,459471,478296,496457,513779,530868,547214,563188,578741,593522,607891,621757,635174,648004,660566,672852,684527,695925,707013,717928,728329,738484,748541,758107,767378,776337,785179,793847,802240,810424,818341,826059,833570,840880,848053,855095,861928,868443,874975,881296,887483,893575,899517,905309,911051,916500,921793,926951,932030,937138,942083,946946,951543,956120,960564,964980,969261,973538,977797,981801,985783,989660,993656,997469,1001242,1004798,1008339,1011847,1015256,1018670,1021959,1025203,1028382,1031576,1034593,1037541,1040405,1043274,1046119,1048920,1051802,1054659,1057361,1060056,1062611,1065170,1067740,1070239,1072766,1075185,1077566,1079829,1082168,1084428,1086657,1088751,
43970,0,25,283,1484,4460,10147,18397,29076,42170,57207,73683,90891,109140,128146,147398,166890,186374,205917,225154,244079,262843,280896,298821,316185,333196,349707,365724,381490,396791,411692,426139,440231,454019,467423,480375,492818,505298,517029,528666,539827,550805,561584,571960,582130,592020,601481,610884,619892,628863,637533,646056,654232,662121,669987,677698,685062,692358,699496,706506,713411,720060,726558,732821,738906,744910,750756,756487,762097,767610,773165,778679,783960,789069,794049,798857,803636,808323,812920,817468,821812,826134,830303,834372,838509,842654,846574,850480,854259,857972,861657,865343,868917,872414,875928,879286,882590,885831,888996,892165,895246,898294,901244,904144,907120,909942,912834,915566,918199,920933,923461,926041,928629,931010,933477,935945,938219,940627,942971,945267,
43980,0,5,90,541,1902,4730,9358,16079,24706,34954,46825,59606,73481,87972,103079,118905,135045,151041,167156,183125,199281,215039,230496,246027,261028,276073,290875,304842,318724,332269,345688,358769,371473,383998,396055,407814,419252,430583,441516,452244,462793,472882,482803,492395,501924,511178,520099,528938,537495,546042,554260,562293,570149,577806,585169,592505,599783,606704,613518,620242,626754,633216,639391,645562,651610,657450,663246,668877,674325,679620,684940,690159,695230,700335,705275,710066,714706,719305,723894,728271,732739,736986,741103,745244,749340,753313,757281,761175,765009,768688,772313,775855,779424,782783,786169,789483,792735,795987,799280,802342,805308,808351,811314,814239,817139,819928,822727,825549,828215,830895,833466,836178,838687,841258,843673,846144,848531,850918,853199,
43990,0,0,10,168,666,1890,4251,7883,12909,19392,26891,35631,45231,55878,67058,78873,91031,103529,116379,129310,142354,155303,168391,181326,193985,206895,219438,231923,244055,256063,267820,279336,290609,301789,312690,323484,334026,344409,354475,364344,374168,383645,392938,401895,410695,419454,427812,436199,444320,452225,459921,467620,475069,482514,489735,496789,503663,510547,517108,523674,529943,536185,542318,548256,554081,559789,565370,570805,576185,581581,586905,591836,596746,601646,606422,611142,615709,620230,624665,629058,633299,637532,641731,645849,649901,653816,657655,661500,665353,668941,672533,676218,679731,683247,686488,689849,693108,696345,699580,702721,705759,708816,711841,714800,717712,720555,723443,726208,728926,731582,734187,736794,739343,741911,744364,746941,749388,751815,754202,
44000,0,1,7,32,169,620,1557,3241,5678,9068,13446,18583,24593,31369,38815,46974,55620,64633,74055,83693,93742,103980,114332,124554,134896,145009,155355,165452,175750,185911,195904,205821,215587,225168,234656,243947,253176,262314,271164,279952,288670,297098,305436,313711,321647,329546,337277,344716,352362,359730,366926,373899,380936,387627,394280,400904,407342,413679,419864,425937,431985,437761,443447,449015,454525,460027,465356,470670,475844,480990,485990,491025,495854,500814,505417,510003,514472,518943,523270,527538,531642,535687,539780,543700,547649,551600,555467,559204,562792,566382,569915,573500,576996,580331,583692,586963,590042,593219,596421,599547,602593,605588,608554,611523,614426,617239,620050,622789,625431,628043,630673,633346,635893,638435,640919,643369,645728,648111,650459,
44010,0,0,0,3,41,129,385,987,1949,3401,5447,8113,11309,15187,19556,24361,29758,35405,41650,48093,54897,62050,69383,76828,84444,92355,100086,108024,115979,123843,131782,139582,147491,155348,163232,170983,178596,186114,193661,201114,208505,215775,222961,229915,236833,243569,250385,257007,263533,270081,276427,282622,288766,294872,300690,306570,312423,318184,323772,329400,334879,340104,345323,350435,355507,360476,365539,370509,375237,379958,384590,389157,393697,398154,402600,407036,411350,415437,419585,423587,427452,431374,435149,438889,442602,446394,449969,453504,457028,460322,463687,466951,470294,473502,476728,479975,483064,486072,489090,492039,494867,497703,500675,503485,506240,508928,511574,514179,516932,519507,522056,524605,527141,529631,532023,534374,536717,539013,541301,
44020,0,0,0,1,4,17,84,231,514,947,1710,2760,4040,5761,7966,10472,13414,16526,20068,23890,28152,32478,36937,41763,46778,52111,57412,62776,68168,73741,79325,85066,90872,96751,102521,108213,113914,119695,125594,131440,137172,142950,148632,154287,159876,165474,171019,176473,181775,187090,192310,197521,202710,207815,212973,218115,223018,227928,232788,237576,242338,246967,251522,255978,260458,264868,269297,273593,277816,281928,285998,290020,293945,298005,301882,305869,309626,313229,316837,320509,324179,327763,331313,334748,338130,341517,344834,348067,351349,354541,357693,360888,363877,366831,369820,372736,375601,378442,381282,384046,386766,389423,392144,394799,397444,400128,402665,405127,407705,410116,412604,414902,417271,419681,421989,424263,426449,428685,430956,
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44730,0,0,0,0,0,8,24,67,170,369,732,1249,2000,3068,4359,5978,7963,10144,12662,15542,18591,21864,25382,29211,33171,37301,41691,46176,50848,55684,60574,65476,70534,75652,80675,85744,90860,95982,101093,106313,111324,116481,121539,126517,131560,136585,141557,146414,151248,156033,160753,165519,170156,174695,179115,183590,188009,192420,196622,200734,204782,208896,212977,216843,220617,224539,228263,231985,235649,239248,242825,246432,249891,253210,256596,259967,263206,266426,269612,272755,275791,278850,281752,284614,287516,290436,293260,295979,298673,301264,303772,306275,308787,311284,313774,316194,318572,320865,323124,325345,327538,329780,331891,333941,336099,338098,340198,342178,344121,346076,347932,349738,351670,353495,355260,357038,358796,360511,362225,
44740,0,0,0,0,0,1,3,12,36,89,214,410,703,1116,1643,2371,3269,4357,5641,7063,8804,10665,12692,14998,17436,19996,22663,25540,28525,31565,34842,38185,41562,44994,48573,52149,55784,59443,63193,66991,70702,74403,78257,82025,85806,89537,93310,97072,100809,104516,108158,111729,115460,119046,122543,126099,129585,133036,136437,139951,143257,146548,149836,153130,156332,159474,162708,165834,169036,172088,175146,178074,180943,183846,186695,189551,192349,195010,197759,200384,203040,205639,208194,210760,213185,215607,218007,220415,222794,225215,227534,229817,231982,234135,236243,238358,240414,242567,244652,246713,248677,250674,252595,254522,256380,258232,260022,261760,263484,265147,266860,268543,270222,271836,273474,275096,276676,278258,279798,
44750,0,0,0,0,0,0,0,4,7,23,55,125,214,352,567,847,1283,1739,2377,3090,3938,4925,6037,7253,8626,10138,11733,13422,15236,17246,19304,21387,23571,25845,28118,30512,32935,35473,38120,40751,43470,46150,48739,51470,54218,57014,59860,62713,65534,68341,71212,73977,76901,79904,82663,85498,88257,90934,93749,96440,99127,101785,104409,107102,109621,112152,114765,117430,119980,122450,124906,127366,129775,132176,134587,136897,139248,141523,143782,146058,148314,150542,152690,154864,156993,159131,161293,163339,165322,167387,169381,171382,173258,175231,177081,178880,180725,182544,184346,186140,187905,189588,191239,192852,194525,196220,197845,199406,201074,202662,204129,205638,207128,208601,210015,211378,212739,214106,215516,
44760,0,0,0,0,0,0,0,0,0,2,7,18,43,83,138,234,354,552,806,1122,1494,1915,2419,3012,3632,4316,5156,6042,6995,8015,9128,10318,11603,12910,14311,15724,17212,18782,20367,22066,23770,25572,27340,29073,30886,32682,34554,36432,38364,40295,42188,44214,46162,48105,50075,52087,54066,56028,58109,60148,62209,64295,66272,68285,70281,72306,74310,76232,78100,79973,81895,83798,85674,87549,89418,91176,93055,94911,96751,98604,100431,102197,103897,105624,107227,108930,110668,112352,113935,115621,117225,118779,120319,121945,123433,125014,126575,128101,129596,131026,132471,133900,135279,136706,138081,139388,140812,142108,143418,144739,145996,147268,148521,149799,150986,152273,153437,154569,155764,
44770,0,0,0,0,0,0,0,0,0,1,1,3,4,13,27,45,78,110,161,235,340,483,658,854,1083,1352,1680,2021,2434,2862,3343,3883,4407,5045,5671,6389,7108,7857,8679,9556,10396,11393,12338,13339,14367,15464,16609,17686,18803,19953,21126,22326,23479,24712,25943,27192,28412,29700,30992,32267,33556,34857,36082,37394,38736,40080,41472,42741,44040,45422,46750,48066,49350,50603,51879,53143,54480,55683,56965,58264,59505,60768,61997,63271,64483,65719,66984,68182,69340,70597,71780,72973,74214,75370,76468,77621,78825,79938,81065,82178,83330,84415,85525,86605,87654,88726,89833,90876,91909,92913,93907,94922,95896,96929,97903,98867,99839,100797,101744,
44780,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,7,10,16,31,41,51,80,122,168,215,283,359,462,566,694,832,1011,1190,1385,1586,1856,2133,2439,2776,3129,3491,3864,4269,4663,5084,5527,5989,6498,6990,7500,8063,8591,9162,9698,10325,10900,11513,12151,12810,13441,14107,14768,15449,16153,16836,17515,18234,18911,19642,20344,21041,21783,22470,23212,23943,24683,25466,26208,26955,27684,28380,29120,29905,30660,31434,32197,32956,33725,34529,35270,35957,36720,37445,38190,38919,39639,40315,41053,41792,42512,43171,43915,44589,45302,46007,46719,47408,48096,48812,49486,50134,50799,51444,52136,52831,53529,54177,54821,
44792719,81130,244991,421968,583329,723135,842950,945917,1034210,1110324,1176680,1235136,1286598,1332250,1373569,1410720,1444317,1474630,1502468,1528104,1551955,1573775,1593672,1612308,1629672,1645575,1660461,1674593,1687894,1700181,1711527,1722388,1732598,1742468,1751443,1760146,1768380,1776280,1783742,1790753,1797480,1803975,1810200,1816054,1821770,1827241,1832340,1837286,1842008,1846597,1850891,1855225,1859280,1863265,1867069,1870682,1874286,1877768,1881046,1884194,1887209,1890160,1892992,1895855,1898416,1900997,1903515,1906037,1908443,1910768,1912944,1915073,1917133,1919175,1921137,1923099,1925007,1926835,1928644,1930382,1932004,1933692,1935355,1936896,1938326,1939792,1941265,1942626,1943985,1945314,1946664,1947991,1949260,1950478,1951676,1952904,1954063,1955172,1956270,1957299,1958370,1959430,1960422,1961481,1962405,1963325,1964217,1965094,1966010,1966865,1967683,1968475,1969310,1970120,1970931,1971717,1972489,1973225,1973985,1974664,
4480107,16007,81798,182743,294963,405630,508103,602320,687520,764130,832330,893798,949343,999983,1045720,1087415,1125807,1160794,1193016,1223054,1250688,1276171,1300156,1322288,1343206,1362584,1380923,1398005,1414219,1429293,1443565,1457147,1469779,1482089,1493521,1504415,1514763,1524636,1534062,1543099,1551499,1559844,1567617,1575225,1582357,1589339,1596156,1602579,1608667,1614542,1620268,1625795,1631033,1636031,1641028,1645880,1650628,1654989,1659188,1663270,1667210,1671087,1674889,1678585,1682060,1685386,1688650,1691887,1695023,1698009,1700903,1703823,1706582,1709314,1711873,1714364,1716827,1719290,1721639,1723819,1726038,1728175,1730357,1732360,1734381,1736320,1738227,1740179,1742104,1743820,1745558,1747304,1749017,1750647,1752222,1753755,1755244,1756724,1758182,1759578,1760934,1762254,1763572,1764878,1766184,1767405,1768663,1769907,1771090,1772171,1773326,1774440,1775482,1776540,1777524,1778460,1779524,1780462,1781458,1782404,
44819,4680,34888,95756,174069,259110,344620,426114,502408,573163,637933,697679,752180,802579,848880,891049,930505,966761,1000425,1032106,1061333,1088673,1114204,1137972,1160379,1181411,1201007,1219770,1237405,1254191,1269818,1284784,1298929,1312155,1324654,1336706,1348345,1359182,1369573,1379520,1389108,1398248,1407022,1415633,1423647,1431259,1438641,1445825,1452741,1459261,1465756,1471880,1477811,1483618,1489247,1494661,1499843,1504833,1509761,1514433,1518930,1523305,1527508,1531548,1535521,1539469,1543201,1546737,1550280,1553736,1557024,1560262,1563414,1566472,1569470,1572381,1575256,1578014,1580675,1583285,1585842,1588264,1590688,1592997,1595248,1597492,1599688,1601885,1603935,1605956,1608093,1610021,1611885,1613811,1615660,1617403,1619170,1620850,1622513,1624152,1625725,1627277,1628864,1630384,1631885,1633350,1634709,1636126,1637461,1638771,1640037,1641262,1642438,1643681,1644915,1646021,1647181,1648377,1649576,1650637,
44821,774,10674,38769,83606,139101,200344,263047,324680,384247,440522,493803,544444,591508,635281,676463,714862,750712,784295,815889,845479,873337,899298,924124,947205,969096,989882,1009712,1028416,1045766,1062563,1078303,1093523,1108048,1121840,1134867,1147237,1159157,1170492,1181245,1191767,1201786,1211486,1220962,1230022,1238739,1246890,1254792,1262441,1269823,1277029,1283886,1290492,1297003,1303270,1309195,1315035,1320682,1325983,1331199,1336185,1341050,1345852,1350520,1355072,1359408,1363663,1367756,1371753,1375589,1379316,1383023,1386561,1390018,1393377,1396680,1399894,1402964,1405886,1408858,1411706,1414533,1417320,1420070,1422720,1425224,1427775,1430259,1432687,1435028,1437386,1439627,1441809,1443992,1446058,1448109,1450098,1452030,1453953,1455800,1457621,1459419,1461162,1462855,1464588,1466227,1467860,1469468,1471009,1472501,1474046,1475494,1476959,1478291,1479669,1480999,1482311,1483638,1484961,1486200,
44830,69,1901,10455,28954,56834,91596,131263,172998,215603,258680,300785,341479,381308,419088,455346,489455,522158,552971,582698,610798,637076,662358,686372,709223,730666,751566,771362,790226,808070,825056,841307,856890,871953,886283,900016,913096,925633,937656,949383,960485,971307,981671,991688,1001191,1010346,1019222,1027787,1036271,1044283,1051965,1059482,1066662,1073671,1080476,1086965,1093323,1099458,1105375,1111207,1116834,1122255,1127462,1132470,1137448,1142224,1147016,1151615,1156128,1160359,1164646,1168702,1172641,1176370,1180125,1183858,1187498,1191024,1194448,1197774,1201012,1204114,1207207,1210319,1213349,1216337,1219144,1221975,1224676,1227229,1229724,1232235,1234745,1237245,1239726,1242062,1244372,1246608,1248820,1250925,1253038,1255028,1257026,1259051,1261028,1262909,1264735,1266597,1268382,1270138,1271767,1273395,1274989,1276615,1278237,1279719,1281195,1282742,1284227,1285696,
44840,14,597,4362,14316,31248,54413,82258,113589,147142,181707,216761,251100,284809,317788,349778,380840,410637,439235,466769,493137,518178,542033,564674,586317,607375,627154,645946,664328,681800,698666,714617,730013,744885,759088,772763,786038,798708,810846,822449,833605,844427,854780,864996,874739,884254,893258,902045,910520,918834,926664,934507,941959,949053,955830,962615,969125,975632,981754,987723,993465,998984,1004485,1009931,1014991,1020088,1024958,1029798,1034477,1039078,1043450,1047734,1051901,1055922,1059937,1063580,1067283,1071011,1074700,1078201,1081689,1085061,1088379,1091569,1094759,1097890,1100763,1103690,1106573,1109327,1112035,1114626,1117229,1119686,1122238,1124654,1127004,1129378,1131701,1133916,1136085,1138257,1140326,1142404,1144465,1146456,1148383,1150279,1152163,1154007,1155834,1157593,1159272,1160943,1162615,1164285,1165834,1167389,1168960,1170453,
44850,1,160,1529,5927,14922,28419,46387,67692,91433,117070,144133,171560,198983,226400,253418,280117,305883,330709,355081,378779,401305,423218,444418,464782,484380,503019,521044,538461,555159,571319,586696,601469,615945,629687,643118,655712,668175,680219,691624,702759,713475,723824,733906,743508,752899,761990,770638,778962,787135,795183,802909,810431,817623,824770,831677,838360,844866,851269,857336,863223,868985,874711,880127,885487,890629,895630,900519,905258,909936,914501,918893,923225,927529,931618,935612,939544,943334,947081,950737,954312,957667,961028,964300,967531,970752,973826,976905,979877,982661,985481,988238,990865,993481,996077,998663,1001137,1003661,1006052,1008526,1010828,1013000,1015209,1017404,1019504,1021552,1023670,1025720,1027754,1029638,1031580,1033362,1035153,1036914,1038651,1040396,1042108,1043775,1045384,1046991,
44860,0,32,408,1973,5713,12506,22571,35559,50926,68347,87209,106947,127530,148622,169857,191162,211979,232778,253449,273492,293226,312254,330810,348855,366088,382908,399157,415060,430517,445280,459693,473608,486896,499833,512526,524790,536715,548026,558883,569392,579768,589829,599615,608911,618167,626884,635615,643833,651781,659643,667102,674435,681444,688395,695210,701744,708232,714481,720620,726567,732428,737974,743530,748750,753984,759060,764096,768762,773360,777963,782386,786771,790997,795008,799041,803079,806934,810795,814382,817968,821533,824961,828404,831809,835010,838171,841317,844366,847435,850340,853128,856001,858674,861328,863890,866434,869004,871456,873834,876186,878527,880784,883014,885147,887217,889335,891327,893350,895303,897287,899286,901171,903033,904897,906736,908542,910260,911967,913685,
44870,0,2,73,454,1735,4390,8936,15486,24022,34139,45680,58576,72400,86975,102150,117606,133372,149150,164942,180921,196573,212136,227449,242340,257134,271494,285393,299082,312385,325355,338005,350334,362302,373734,385097,396199,406887,417205,427272,437058,446477,455726,464621,473448,482156,490455,498424,506343,513991,521355,528595,535641,542461,549144,555705,562110,568339,574337,580230,585979,591730,597256,602678,607790,612880,617873,622711,627489,632086,636614,641013,645225,649443,653530,657546,661510,665379,669165,672859,676391,679876,683470,686888,690087,693370,696719,699958,702954,705978,708903,711788,714605,717314,720007,722712,725359,727940,730519,732953,735294,737594,739881,742108,744355,746407,748473,750549,752574,754631,756629,758586,760500,762464,764323,766197,767911,769716,771412,773086,
44880,0,1,17,155,708,2010,4453,8233,13499,20189,28124,37197,47576,58534,70010,82271,94892,107727,120700,133735,146650,159497,172536,185394,197927,210237,222571,234771,246479,257945,269263,280542,291315,301891,312273,322387,331994,341579,350983,360007,369032,377749,386215,394314,402236,410107,417698,424960,432331,439609,446329,453081,459531,465877,472210,478351,484436,490212,495959,501484,506935,512257,517540,522527,527519,532337,537021,541689,546243,550690,555052,559211,563425,567553,571433,575302,579089,582769,586501,590022,593464,596955,600231,603466,606687,609734,612794,615866,618849,621649,624477,627246,629994,632695,635261,637858,640489,642978,645497,647881,650249,652588,654908,657133,659381,661601,663583,665582,667620,669628,671636,673507,675354,677197,679018,680830,682646,684337,686010,
44890,0,0,6,53,245,813,1916,3952,6885,10840,15871,21941,28900,36546,44814,53606,63097,72822,82810,93153,103528,114049,124624,135249,145855,156248,166571,176996,187182,197218,207119,216694,226082,235378,244440,253280,262065,270684,278953,287309,295539,303432,311162,318611,326009,333238,340303,347297,353966,360595,366794,373190,379357,385412,391249,396996,402534,408123,413395,418636,423811,428839,433696,438479,443181,447851,452290,456670,461019,465260,469416,473464,477379,481300,485033,488820,492538,496160,499721,503149,506392,509613,512876,516056,519116,522118,525137,528079,530968,533870,536652,539462,542116,544737,547311,549883,552407,554904,557317,559614,561955,564201,566468,568604,570773,572877,574897,576970,578969,580932,582910,584857,586712,588529,590316,592216,593911,595603,597267,
44900,0,0,0,7,66,258,713,1618,3053,5224,8045,11594,15839,20843,26192,32074,38641,45364,52795,60331,68111,76171,84379,92770,100988,109373,117797,126182,134513,142713,150811,158759,166955,174800,182668,190388,198015,205587,212742,219831,227133,234104,240963,247583,254205,260692,267015,273175,279238,285226,291067,296801,302363,307744,312981,318286,323485,328643,333488,338494,343317,347952,352484,356878,361271,365732,369879,373952,378016,382109,385955,389814,393626,397279,400914,404449,407970,411260,414544,417875,420990,424197,427319,430374,433298,436205,438991,441919,444638,447331,449897,452448,455020,457533,460021,462381,464795,467155,469471,471695,473998,476271,478419,480519,482651,484721,486705,488595,490574,492479,494317,496143,497966,499768,501583,503287,505027,506752,508394,
44910,0,0,0,0,12,77,208,523,1088,2084,3413,5198,7488,10199,13398,16984,20991,25445,30338,35467,40927,46456,52268,58287,64382,70655,77053,83307,89495,95795,102243,108643,114978,121371,127702,133942,140075,146210,152265,158463,164324,170255,175956,181694,187244,192649,198183,203381,208628,213884,218995,224084,229047,233907,238592,243421,248065,252541,257026,261336,265543,269729,273813,277963,281900,285784,289533,293273,297061,300664,304277,307746,311089,314483,317778,321106,324364,327474,330608,333608,336621,339629,342506,345318,348127,350862,353566,356239,358823,361420,363895,366291,368720,371129,373487,375655,377859,380089,382247,384408,386573,388638,390722,392751,394645,396576,398510,400492,402352,404103,405907,407706,409538,411261,412970,414632,416258,417870,419451,
44920,0,0,0,0,1,6,41,127,292,614,1151,1872,2890,4243,5880,7841,10057,12572,15264,18332,21656,25191,28834,32698,36823,41027,45233,49622,54047,58560,63060,67825,72602,77357,82120,86932,91666,96453,101190,105900,110525,115100,119599,124145,128630,133049,137499,141925,146254,150625,154857,159015,163051,167146,171056,174970,178889,182812,186610,190296,193841,197486,201147,204628,208100,211604,214995,218397,221668,224911,228010,231125,234230,237262,240173,243086,245946,248660,251428,254113,256756,259355,261922,264417,266905,269357,271829,274243,276575,278931,281265,283505,285689,287843,290058,292163,294224,296222,298192,300162,302093,303993,305925,307740,309571,311398,313062,314777,316541,318237,319916,321588,323255,324904,326472,328041,329505,331017,332452,
44930,0,0,0,0,0,1,8,20,60,158,347,616,1062,1678,2437,3356,4489,5889,7408,9145,11080,13126,15439,17887,20503,23156,25966,28965,31985,35156,38382,41804,45142,48648,52028,55411,58901,62442,66008,69514,73090,76670,80111,83601,87140,90589,94055,97521,100872,104305,107705,111149,114461,117789,121045,124270,127520,130697,133819,136934,140026,143056,146051,149043,151892,154731,157658,160457,163143,165898,168501,171178,173765,176309,178830,181351,183823,186350,188781,191142,193528,195783,198073,200326,202541,204802,206945,209134,211127,213214,215184,217138,219047,220943,222793,224656,226550,228387,230266,232022,233779,235492,237167,238908,240607,242247,243823,245386,246954,248531,250083,251637,253167,254603,256077,257461,258861,260251,261610,
44940,0,0,0,0,0,0,0,0,13,37,81,158,283,452,734,1095,1555,2130,2832,3617,4552,5641,6773,8098,9489,10898,12513,14180,16035,17898,19910,21896,23983,26160,28397,30598,32973,35235,37607,39988,42432,44883,47337,49793,52353,54815,57331,59812,62364,64917,67461,69983,72460,74842,77399,79815,82244,84605,87060,89485,91954,94430,96780,99056,101312,103585,105900,108181,110340,112493,114685,116764,118920,121021,123219,125324,127319,129285,131344,133263,135182,137093,138962,140691,142575,144401,146234,147971,149734,151396,153190,154850,156557,158239,159831,161515,163096,164668,166204,167686,169255,170707,172185,173626,175050,176483,177902,179281,180662,182070,183372,184632,185892,187162,188439,189716,190944,192128,193289,
44950,0,0,0,0,0,0,0,1,4,6,14,29,47,77,141,238,376,538,757,1045,1389,1769,2205,2734,3287,3940,4732,5471,6265,7159,8084,9169,10221,11348,12484,13731,14906,16232,17632,19046,20499,21967,23474,24896,26423,27935,29548,31136,32690,34350,36024,37552,39209,40900,42567,44268,45917,47557,49208,50848,52455,54147,55857,57524,59190,60840,62455,64101,65724,67296,68910,70483,72001,73601,75156,76729,78295,79793,81275,82748,84207,85684,87173,88583,90005,91408,92772,94111,95519,96857,98187,99530,100841,102125,103401,104599,105887,107161,108381,109630,110833,112086,113221,114398,115559,116688,117861,119037,120151,121232,122343,123433,124523,125601,126595,127661,128689,129690,130674,
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45020,68,2196,11429,29976,56616,89632,126672,164853,203827,242510,280184,316865,351686,385322,417342,447574,476836,504408,530841,555434,579192,602002,623445,643683,662824,681211,698634,715320,731160,746546,761148,775198,788534,801289,813515,825365,837123,848187,858764,869059,878845,888218,897520,906199,914541,922707,930500,938012,945440,952556,959528,966212,972740,978879,984866,990663,996290,1001740,1007049,1012205,1017182,1022266,1027029,1031629,1036131,1040453,1044654,1048877,1052969,1056979,1060844,1064582,1068122,1071800,1075283,1078630,1081925,1085143,1088281,1091356,1094294,1097231,1100088,1102807,1105541,1108200,1110870,1113447,1115970,1118484,1120824,1123076,1125358,1127566,1129747,1131871,1133942,1135978,1137930,1139920,1141859,1143805,1145676,1147530,1149357,1151127,1152877,1154628,1156271,1157857,1159421,1160988,1162550,1164069,1165632,1167105,1168577,1170023,1171373,
45030,18,733,4655,14469,30650,52559,78785,107638,138142,169218,200352,231051,261296,290560,318834,346216,372593,397762,421668,444739,466849,487950,508494,527828,546409,564109,580982,597098,612568,627348,641674,655376,668641,681306,693511,705401,716890,727794,738287,748443,758158,767425,776716,785614,794312,802446,810595,818236,825769,832908,840022,846758,853328,859555,865797,871864,877685,883453,888971,894374,899683,904628,909476,914301,918889,923389,927799,932069,936126,940245,944327,948197,951968,955705,959261,962721,966166,969474,972782,975845,978969,981997,984986,987832,990702,993433,996143,998741,1001360,1003873,1006368,1008722,1011080,1013393,1015637,1017979,1020179,1022340,1024500,1026623,1028648,1030631,1032608,1034496,1036337,1038206,1039920,1041725,1043471,1045195,1046827,1048446,1050042,1051586,1053194,1054689,1056174,1057610,1059081,
45040,7,171,1606,6016,14448,27247,43904,63310,84843,108065,131789,155927,180289,204245,228212,251335,274021,295786,316993,337811,357563,376691,395129,412882,430244,446657,462516,477552,492408,506530,520448,533589,546058,558275,570057,581468,592347,602939,613130,622889,632398,641639,650671,659455,667885,676074,683897,691726,699232,706455,713375,720089,726667,733090,739347,745467,751443,757270,762799,768188,773589,778667,783647,788455,793074,797819,802375,806741,811127,815260,819311,823296,827137,830841,834621,838094,841667,845180,848496,851772,855063,858173,861213,864148,867011,869835,872607,875324,877979,880642,883209,885816,888218,890720,893126,895347,897668,899892,902092,904310,906443,908416,910468,912448,914403,916332,918108,919947,921713,923504,925226,926920,928692,930367,932012,933589,935182,936723,938215,
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45400,67,1502,7638,20597,40045,64025,91022,119575,149253,179100,208425,237094,264633,291130,316831,341212,364654,386880,408105,428442,447853,466365,483799,500813,517019,532634,547311,561565,574964,588087,600776,612893,624250,635252,645866,656197,666116,675687,684957,693808,702211,710387,718264,725912,733355,740608,747682,754492,761058,767451,773620,779520,785330,790983,796409,801651,806840,811824,816640,821371,825891,830351,834799,839039,843162,847173,850986,854887,858566,862072,865527,868983,872309,875634,878863,881993,885033,888034,890912,893763,896695,899387,902032,904603,907206,909681,912220,914636,916906,919228,921545,923769,925934,928025,930050,932072,934042,935934,937893,939789,941584,943366,945143,946916,948602,950280,951853,953454,955066,956595,958088,959552,960996,962382,963882,965266,966590,967868,969166,
45410,16,414,2644,8715,19103,33766,51719,71707,93031,115382,137822,160666,183220,205213,226889,247621,267489,287067,306146,324448,341917,358726,374756,390457,405648,420142,433946,447361,460195,472399,484314,495856,506926,517765,528165,538216,547749,557036,566093,574609,582999,591165,598988,606500,613858,621030,628018,634828,641323,647661,653741,659639,665451,671120,676469,681719,686881,692005,696934,701827,706477,711048,715475,719709,723872,727898,731787,735653,739449,743061,746664,750144,753625,756899,760137,763299,766446,769530,772496,775475,778372,781125,783853,786524,789111,791642,794122,796488,798879,801297,803554,805757,807935,810148,812377,814491,816608,818560,820470,822357,824273,826104,827886,829702,831435,833084,834770,836406,838050,839630,841249,842804,844316,845854,847260,848695,850166,851590,852980,
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45430,0,42,469,2088,5561,11409,19664,30043,41977,55399,69565,84605,99836,115302,130934,146506,161832,176933,191713,206384,220608,234431,247991,260847,273695,285970,297968,309684,321171,332031,342859,353109,363065,372742,382173,391355,400190,408707,416910,424870,432760,440391,447807,454968,461892,468654,475191,481540,487802,493745,499603,505231,510769,516258,521579,526694,531619,536458,541249,545831,550368,554808,559029,563163,567180,571293,575172,578989,582791,586453,590012,593463,596897,600286,603578,606784,609968,613051,615963,618949,621927,624698,627386,630142,632739,635301,637883,640331,642650,644957,647314,649621,651857,653997,656200,658329,660399,662424,664504,666484,668411,670293,672169,674002,675822,677621,679330,681012,682654,684334,685920,687519,689113,690575,692086,693625,695015,696438,697781,
45440,0,8,163,813,2548,5708,10345,16752,24500,33817,44042,54972,66717,78887,91063,103493,115847,128381,140736,153098,165143,176909,188648,200221,211443,222587,233133,243709,253917,263789,273410,282887,292029,300838,309464,317880,325820,333737,341361,348898,356057,363254,370199,376790,383220,389602,395826,402003,407856,413616,419232,424797,430134,435288,440359,445227,450003,454745,459289,463875,468240,472416,476524,480698,484608,488483,492384,496116,499742,503306,506846,510244,513665,516971,520272,523382,526442,529441,532340,535251,538075,540828,543561,546147,548673,551173,553684,556149,558544,560948,563292,565563,567829,570067,572162,574229,576283,578335,580315,582316,584314,586246,588198,590037,591788,593657,595350,597035,598749,600353,601970,603518,605086,606607,608073,609550,610891,612335,613746,
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45460,0,0,2,40,206,663,1530,3074,5314,8214,11821,16004,20808,26303,32049,38183,44735,51481,58442,65526,72694,80028,87246,94541,101818,109098,116258,123472,130448,137579,144526,151404,158118,164778,171305,177681,183803,189931,196102,201968,207864,213543,219204,224693,230019,235277,240319,245346,250404,255273,259976,264608,269102,273520,277836,281999,286112,290217,294174,298181,302040,305714,309322,312941,316484,319995,323373,326641,329910,333089,336188,339251,342279,345265,348169,351039,353759,356450,359063,361760,364346,366855,369325,371752,374184,376543,378844,381094,383334,385531,387704,389709,391759,393802,395899,397802,399697,401560,403421,405241,407077,408880,410572,412249,413979,415619,417218,418806,420363,421986,423579,425084,426597,428041,429549,430924,432287,433692,435044,
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45563,1921,16065,46324,88431,136139,185660,234704,281506,326183,368204,407503,444025,478139,510321,540220,568120,594217,618826,641982,663768,684319,703701,721771,739038,755534,771100,785612,799549,812793,825672,837886,849357,860329,870944,881201,891046,900416,909316,917942,926020,933886,941680,949209,956260,963008,969541,975896,981957,987830,993730,999305,1004838,1009934,1014966,1019931,1024751,1029460,1033919,1038202,1042392,1046620,1050563,1054421,1058148,1061847,1065460,1068960,1072272,1075516,1078745,1081929,1084882,1087887,1090804,1093647,1096395,1099057,1101634,1104223,1106733,1109151,1111621,1113972,1116252,1118500,1120727,1122934,1125068,1127201,1129235,1131118,1133008,1134911,1136857,1138682,1140366,1142079,1143751,1145493,1147122,1148729,1150324,1151833,1153318,1154805,1156251,1157749,1159126,1160515,1161864,1163211,1164518,1165745,1167046,1168317,1169465,1170630,1171829,1172988,
45573,711,7707,26268,55545,91673,130984,171302,210934,249950,287569,323042,356495,387864,417888,446014,472496,497618,521424,543946,564843,584436,603494,621554,638580,654621,670097,684697,698590,711944,724600,736937,748787,759969,770586,780902,790800,800412,809428,818101,826596,834592,842335,849829,857067,864254,871136,877635,884044,890129,895967,901587,907127,912525,917849,922973,927896,932692,937292,941830,946179,950497,954566,958637,962554,966264,969962,973568,977085,980388,983690,986876,990088,993085,996094,999039,1001853,1004676,1007387,1010022,1012596,1015125,1017646,1020083,1022471,1024873,1027322,1029624,1031832,1033983,1036111,1038191,1040210,1042188,1044156,1046043,1047922,1049779,1051548,1053298,1054991,1056668,1058385,1059994,1061582,1063171,1064665,1066156,1067612,1068976,1070359,1071753,1073084,1074422,1075752,1077014,1078230,1079438,1080635,1081800,
45580,199,3071,12814,30425,54531,83333,114297,146558,178542,209837,240203,269504,297671,324861,350687,375073,398293,420710,441503,461536,480527,498557,515847,532179,547974,562883,577217,590987,603977,616740,628760,640375,651574,662397,672621,682486,691960,701221,709935,718405,726653,734375,742034,749480,756599,763568,770125,776697,783033,789058,794966,800656,806104,811489,816628,821617,826416,831219,835737,840253,844546,848826,852983,856931,860746,864579,868275,871928,875363,878705,882057,885354,888531,891627,894724,897742,900653,903501,906253,908953,911563,914213,916706,919219,921608,924041,926347,928671,930971,933118,935262,937343,939418,941417,943362,945387,947328,949240,951067,952865,954551,956175,957884,959551,961193,962806,964372,965862,967288,968774,970244,971611,972964,974315,975663,976949,978266,979491,980758,
45590,27,946,5143,14274,28455,46916,68470,91827,115965,140540,165053,189448,213108,236468,258725,280507,301109,321181,340218,358462,375707,392386,408551,423858,438502,452777,466379,479390,491799,503890,515459,526822,537699,547843,557973,567680,576985,586029,594689,602964,610970,618750,626301,633631,640776,647740,654387,660921,667259,673175,679103,684844,690307,695679,700881,705884,710832,715684,720341,724970,729322,733648,737803,741798,745748,749610,753427,757094,760658,764151,767648,770906,774161,777281,780406,783399,786306,789287,792134,794972,797664,800375,802974,805541,808054,810453,812901,815209,817489,819769,822004,824142,826174,828194,830244,832240,834113,836043,837866,839733,841563,843315,845061,846843,848428,850102,851683,853360,854941,856396,857908,859355,860756,862198,863621,864999,866345,867682,868937,
45600,7,367,2425,7776,17268,30452,46254,64148,83529,103960,124479,145235,165875,186181,205934,225171,243923,262072,279197,296006,312448,328099,343200,357981,372006,385490,398593,411156,423129,434611,445809,456721,467075,477258,486957,496493,505478,514264,522873,531132,539080,546752,554135,561293,568185,574890,581468,587841,593945,599893,605541,611202,616783,622054,627280,632337,637077,641878,646581,651106,655540,659882,664010,668112,672082,675976,679859,683619,687207,690804,694303,697631,700907,704154,707240,710283,713328,716239,719047,721853,724505,727179,729738,732269,734781,737313,739796,742104,744419,746756,749085,751294,753399,755435,757558,759645,761585,763594,765535,767449,769276,771023,772759,774475,776211,777907,779546,781080,782712,784252,785737,787198,788631,790057,791445,792823,794158,795508,796829,
45610,1,115,1007,3910,9555,18095,29262,42276,57075,72855,89412,106238,123443,140585,157491,174139,190478,206333,221788,237149,251676,265891,279808,293025,306115,318575,330660,342290,353536,364411,374891,385236,395239,404747,413925,422830,431376,439683,447825,455665,463204,470719,477936,484887,491643,498228,504716,510937,517062,522903,528512,534109,539408,544750,549785,554806,559602,564264,568937,573448,577808,582117,586219,590256,594177,598124,601950,605497,608993,612631,616092,619468,622825,626045,629146,632141,635128,638142,641064,643816,646534,649221,651899,654606,657132,659591,661995,664473,666777,669033,671325,673546,675701,677778,679870,681848,683854,685776,687657,689512,691334,693228,695043,696778,698525,700177,701809,703334,704960,706497,707927,709430,710848,712318,713747,715112,716571,717918,719280,
45620,0,27,358,1566,4389,9223,16141,24921,35099,46411,58666,71659,85206,98576,112466,126146,139783,153397,166625,179693,192804,205317,217697,229684,241187,252512,263474,273981,284263,294346,303991,313544,322687,331561,340182,348605,356582,364423,372132,379600,386968,394025,400771,407406,413777,419914,426039,432014,437693,443279,448807,454125,459352,464487,469594,474406,479127,483786,488139,492432,496663,500805,504946,508977,512872,516622,520304,523990,527683,531094,534450,537805,541061,544321,547432,550378,553287,556234,559078,561866,564601,567209,569807,572382,574828,577197,579680,582050,584408,586670,588863,591113,593317,595361,597385,599363,601308,603286,605205,607093,608964,610777,612571,614320,616058,617727,619444,621084,622623,624191,625699,627158,628617,630184,631592,633053,634436,635840,637190,
45630,0,8,98,549,1739,4082,7719,12692,18923,26416,34830,43983,53687,63708,74059,84595,95266,106146,116932,127657,138111,148592,158913,169015,178892,188642,198225,207572,216757,225650,234272,242844,251071,259053,266969,274571,282021,289228,296220,303042,309665,316087,322502,328613,334576,340500,346345,351872,357314,362661,367900,372978,378011,382723,387414,392010,396542,400925,405186,409519,413644,417674,421552,425440,429094,432810,436433,439916,443273,446497,449812,453090,456258,459482,462452,465352,468257,471014,473784,476549,479110,481718,484305,486814,489273,491687,494085,496408,498673,500884,503008,505084,507148,509289,511318,513309,515280,517193,519032,520851,522745,524498,526256,527971,529714,531340,532966,534561,536186,537783,539314,540752,542206,543624,545019,546391,547765,549114,550481,
45640,0,1,18,119,505,1378,2975,5315,8547,12632,17537,23085,29219,36022,43082,50418,58049,65916,74040,82097,90250,98288,106350,114334,122281,130045,137892,145525,153078,160623,167986,175122,182212,188922,195524,202173,208626,214952,221002,226986,232907,238727,244525,250128,255502,260736,265997,271081,275969,280920,285715,290405,295020,299319,303674,307898,312006,316169,320154,324131,328036,331751,335370,338928,342409,345822,349158,352503,355692,358820,361940,365018,368005,370924,373902,376798,379597,382338,385017,387596,390164,392692,395150,397522,399753,402037,404330,406534,408745,410849,412981,415126,417185,419222,421102,423006,424898,426785,428593,430363,432134,433887,435554,437270,438832,440502,442107,443617,445156,446672,448168,449564,451026,452429,453879,455256,456525,457841,459145,
45650,0,0,0,22,110,405,1054,2084,3617,5719,8306,11558,15125,19179,23715,28529,33696,39043,44700,50497,56508,62589,68687,74921,81052,87183,93296,99283,105286,111276,117298,123096,128883,134603,140207,145704,151144,156644,162012,167215,172389,177433,182415,187213,191941,196504,200932,205389,209713,214049,218187,222345,226509,230537,234418,238293,242127,245760,249394,253002,256518,259906,263209,266438,269661,272939,275995,279041,282016,284959,287786,290604,293308,296118,298835,301472,304046,306565,309062,311455,313814,316200,318534,320747,323040,325200,327309,329441,331521,333546,335554,337596,339551,341472,343409,345289,347091,348906,350604,352320,353976,355592,357165,358775,360274,361910,363439,364917,366372,367796,369276,370763,372189,373602,375033,376378,377683,378904,380194,
45660,0,0,0,2,14,81,239,543,1055,1875,2951,4348,6139,8261,10635,13305,16260,19478,22883,26469,30246,34190,38248,42524,46841,51086,55459,59823,64260,68738,73222,77642,82116,86434,90841,95103,99404,103712,107895,112040,116118,120150,124285,128239,132021,136004,139711,143484,147169,150697,154224,157739,161118,164414,167637,170956,174186,177342,180377,183475,186463,189452,192312,195294,198014,200778,203505,206165,208729,211339,213961,216398,218841,221182,223553,225883,228225,230579,232827,235025,237150,239254,241376,243413,245426,247395,249383,251269,253181,254976,256779,258519,260223,261955,263686,265458,267121,268716,270270,271924,273402,274926,276424,277859,279293,280790,282216,283603,284939,286342,287676,289013,290333,291610,292821,294060,295331,296494,297648,
45670,0,0,0,0,0,2,16,69,188,386,706,1157,1755,2544,3436,4612,5887,7369,8937,10769,12684,14755,16902,19032,21486,23922,26481,29094,31823,34567,37419,40191,43038,45931,48831,51816,54814,57753,60685,63596,66380,69330,72190,75024,77787,80627,83412,86021,88709,91464,94111,96737,99389,101978,104499,107153,109631,112148,114560,116974,119379,121752,124131,126402,128699,130943,133108,135287,137415,139496,141634,143632,145639,147682,149711,151667,153497,155344,157254,159163,161015,162857,164605,166334,168054,169732,171395,173097,174655,176246,177777,179289,180816,182319,183901,185332,186742,188144,189423,190822,192213,193593,194919,196181,197417,198686,199915,201186,202429,203597,204789,205953,207078,208264,209368,210513,211614,212713,213761,
45680,0,0,0,0,0,0,1,2,13,37,72,120,202,328,497,749,1029,1394,1815,2318,2909,3583,4286,5141,6087,7014,8074,9155,10308,11547,12789,14188,15504,16927,18325,19835,21393,22874,24480,26051,27616,29245,30838,32455,34105,35732,37376,39015,40686,42266,43878,45476,47118,48744,50353,51893,53489,55129,56710,58308,59868,61426,62949,64513,66060,67655,69209,70672,72165,73629,75067,76547,78025,79526,80858,82254,83636,84980,86332,87629,88995,90315,91616,92935,94119,95366,96608,97885,99152,100369,101594,102739,103941,105126,106200,107325,108421,109506,110528,111548,112565,113607,114674,115680,116636,117593,118590,119579,120549,121476,122376,123325,124233,125174,126092,126992,127856,128713,129536,
456939,14724,92848,226139,380556,535107,679339,810346,926351,1029800,1121294,1202913,1275275,1339734,1397782,1449297,1495580,1537385,1575403,1609393,1640727,1669068,1695341,1719234,1741349,1761986,1780746,1798407,1814749,1829749,1843840,1856965,1869121,1880567,1891334,1901258,1910761,1919429,1927646,1935706,1943123,1950088,1956830,1963246,1969160,1974889,1980269,1985397,1990229,1995017,1999438,2003521,2007655,2011478,2015171,2018667,2022063,2025302,2028426,2031397,2034324,2037104,2039716,2042315,2044724,2047107,2049408,2051530,2053588,2055595,2057553,2059429,2061268,2063010,2064655,2066346,2067905,2069459,2070927,2072375,2073744,2075083,2076385,2077712,2078966,2080128,2081254,2082362,2083433,2084428,2085420,2086385,2087297,2088262,2089165,2090055,2090927,2091758,2092545,2093348,2094160,2094877,2095572,2096299,2096970,2097584,2098215,2098831,2099474,2100072,2100656,2101194,2101748,2102260,2102830,2103362,2103843,2104345,2104801,2105235,
45700,555,10757,45836,106097,184996,273626,365327,455589,542638,625160,702259,774396,839869,901173,957685,1009853,1057933,1102691,1143599,1181350,1216582,1249553,1279976,1308213,1334570,1359032,1382173,1403757,1423973,1442930,1460665,1477335,1493039,1507936,1521905,1535210,1547666,1559541,1570758,1581438,1591524,1601262,1610311,1618799,1627021,1634938,1642446,1649665,1656457,1663068,1669288,1675236,1680933,1686409,1691766,1696785,1701717,1706428,1710887,1715262,1719503,1723490,1727320,1731012,1734533,1738007,1741305,1744498,1747545,1750514,1753443,1756275,1758870,1761499,1764073,1766540,1768968,1771275,1773438,1775626,1777600,1779630,1781534,1783410,1785325,1787160,1788938,1790603,1792208,1793769,1795316,1796838,1798324,1799663,1801075,1802444,1803743,1805016,1806366,1807546,1808668,1809817,1810924,1812019,1813105,1814186,1815168,1816188,1817113,1818035,1818897,1819814,1820680,1821500,1822338,1823204,1823955,1824723,1825512,
45710,53,1942,12599,38093,79200,131613,191649,256160,321931,387505,451154,512632,571433,626936,679273,728807,775233,818867,859742,897849,933714,967509,999435,1028942,1056952,1083238,1107820,1131288,1152987,1173586,1193026,1211462,1229463,1245904,1261465,1276308,1290325,1303748,1316577,1328584,1340036,1351052,1361679,1371531,1380974,1390083,1398796,1407200,1415076,1422788,1430283,1437165,1444111,1450494,1456718,1462636,1468380,1473924,1479329,1484455,1489485,1494069,1498613,1502963,1507272,1511270,1515447,1519185,1522842,1526485,1529975,1533315,1536555,1539618,1542590,1545489,1548322,1551054,1553785,1556362,1558936,1561410,1563722,1566066,1568350,1570527,1572653,1574746,1576743,1578685,1580587,1582409,1584252,1586009,1587739,1589389,1590979,1592482,1594021,1595494,1596927,1598277,1599694,1601003,1602246,1603575,1604841,1606004,1607232,1608375,1609476,1610610,1611775,1612819,1613850,1614830,1615733,1616664,1617597,
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45730,0,9,223,1435,4902,12014,23291,38569,57742,80185,105124,131678,159417,188274,217358,246276,275105,303411,331160,358368,384607,410215,435093,459140,482282,504484,525946,546788,566603,585765,604179,621799,638687,654973,670577,685381,699599,713598,726771,739452,751688,763557,774922,785680,796183,806442,816238,825674,834698,843482,851812,860028,867660,875082,882488,889483,896359,902974,909485,915577,921465,927326,932891,938445,943615,948727,953554,958266,962862,967428,971783,976029,980218,984143,987948,991736,995433,998860,1002415,1005705,1008947,1012115,1015129,1018181,1021193,1023975,1026636,1029398,1032034,1034570,1036962,1039288,1041713,1043950,1046185,1048343,1050452,1052558,1054584,1056544,1058450,1060375,1062169,1063962,1065647,1067343,1068909,1070535,1072145,1073721,1075218,1076682,1078189,1079669,1081064,1082391,1083776,1085080,1086330,
45740,0,3,42,401,1824,5087,10791,19606,31166,45625,62152,80713,100835,122009,143912,166475,189232,211850,234593,256992,279126,301031,322343,343285,363559,383359,402343,420771,438618,455934,472446,488541,504278,519307,533868,547932,561468,574349,586966,598829,610418,621769,632791,643294,653382,663247,672640,681752,690563,699064,707214,715054,722868,730353,737492,744429,751193,757887,764234,770459,776320,782018,787662,793040,798222,803319,808222,813013,817510,822077,826489,830794,834917,838962,842899,846666,850379,853951,857446,860928,864295,867535,870698,873786,876764,879627,882479,885187,887894,890372,892903,895295,897729,900099,902438,904654,906857,909067,911229,913250,915247,917212,919103,920962,922797,924473,926228,927917,929557,931119,932723,934223,935716,937209,938636,939985,941420,942728,944058,
45750,0,0,9,99,531,1795,4439,8687,14819,23180,33333,45208,58389,72981,88365,104652,121271,138588,156137,173830,191586,209057,226616,243784,260819,277113,293468,309404,324613,339708,354259,368301,381817,395139,408178,420697,432872,444487,456033,467149,478105,488481,498528,508328,517891,527176,535940,544418,552921,560991,568811,576301,583683,590960,597959,604653,611156,617503,623706,629737,635454,641102,646463,651763,656897,661847,666814,671503,676060,680539,684887,688984,693157,697107,700933,704625,708289,711920,715490,718852,722108,725318,728538,731649,734604,737549,740383,743183,745837,748448,750935,753379,755873,758255,760574,762903,765145,767212,769402,771485,773530,775499,777415,779356,781175,782967,784751,786412,788055,789711,791319,792860,794379,795879,797313,798710,800152,801534,802926,
45760,0,0,1,26,136,523,1463,3344,6273,10501,16079,22858,30863,39839,49993,60926,72556,84533,97135,110063,123217,136684,150403,163868,177064,190264,203193,216056,228759,241158,253397,265259,276870,288291,299626,310471,321046,331286,341395,351069,360525,369725,378755,387512,395873,404243,412391,420355,428052,435487,442564,449389,456261,462897,469279,475341,481343,487314,492998,498718,504134,509474,514610,519648,524474,529204,533796,538350,542670,546932,551040,555013,558934,562702,566525,570191,573746,577107,580418,583595,586915,590156,593230,596281,599114,601957,604690,607380,610090,612650,615122,617503,619857,622213,624475,626696,628824,631001,633054,635097,637127,639137,641029,642872,644690,646477,648198,649870,651597,653312,654910,656522,658058,659600,661072,662543,663988,665319,666722,
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45892,1478,17380,57634,118167,189591,265390,339758,411482,480154,543841,602339,656651,706805,753032,795853,835438,871992,905704,937118,966424,993517,1018984,1042595,1064703,1085520,1104970,1123230,1140297,1156673,1171821,1186276,1199780,1212617,1224935,1236811,1247760,1258266,1268201,1277740,1286815,1295525,1303747,1311545,1319230,1326420,1333241,1339871,1346299,1352356,1358069,1363657,1368979,1374127,1379069,1383829,1388467,1392871,1397115,1401222,1404977,1408818,1412582,1416232,1419809,1423131,1426311,1429333,1432306,1435292,1438220,1441034,1443677,1446127,1448672,1451022,1453347,1455602,1457890,1459986,1461941,1463897,1465924,1467876,1469716,1471571,1473353,1475113,1476814,1478482,1480065,1481634,1483079,1484582,1486022,1487418,1488772,1490064,1491360,1492680,1493923,1495132,1496265,1497387,1498548,1499633,1500711,1501719,1502721,1503702,1504691,1505613,1506503,1507374,1508274,1509144,1510057,1510849,1511621,1512439,
45900,178,4375,20232,50494,92265,141533,194838,249012,302608,354732,403824,450992,495548,537640,577014,613731,648098,680588,711095,739880,766614,791852,815885,838401,859346,879281,898301,916017,932665,948360,963408,977612,991100,1004130,1016430,1028215,1039496,1050043,1060397,1070135,1079435,1088260,1096719,1104878,1112641,1120287,1127423,1134316,1140997,1147300,1153336,1159242,1164858,1170302,1175512,1180560,1185467,1190152,1194768,1199193,1203462,1207505,1211492,1215333,1219078,1222697,1226190,1229620,1232852,1236047,1239206,1242212,1245100,1247806,1250518,1253203,1255864,1258448,1260934,1263270,1265553,1267765,1269877,1271909,1273957,1275963,1277897,1279750,1281630,1283420,1285255,1286984,1288686,1290309,1291898,1293402,1294887,1296400,1297785,1299140,1300526,1301847,1303152,1304412,1305643,1306879,1308035,1309201,1310389,1311463,1312597,1313616,1314640,1315632,1316634,1317575,1318492,1319431,1320332,
45910,12,653,4696,15512,33723,58853,89168,122999,158417,194865,231697,267635,302873,336916,369478,400847,430775,459483,486670,512616,537082,560600,582649,603821,623827,642500,660639,677756,694210,709905,724929,739163,752653,765855,778038,789981,801403,812309,822617,832588,842093,851301,859979,868564,876726,884500,892002,899323,906331,913100,919561,925768,931885,937750,943446,948945,954087,959175,964107,968835,973384,977602,981894,986143,990165,994141,997888,1001421,1004901,1008372,1011706,1014951,1018154,1021158,1024224,1027096,1029963,1032747,1035325,1037870,1040394,1042861,1045238,1047584,1049928,1052188,1054334,1056442,1058401,1060478,1062349,1064314,1066206,1067982,1069666,1071396,1073028,1074639,1076229,1077802,1079331,1080807,1082201,1083584,1084952,1086334,1087637,1088915,1090115,1091296,1092546,1093724,1094884,1096049,1097167,1098246,1099315,1100364,1101379,
45920,0,188,1904,7209,17688,33454,53904,77718,104357,132614,161668,190962,220111,249088,277268,304726,331273,356651,381111,404840,427513,449168,469905,489602,508247,526051,543411,559775,575664,590742,604973,618731,631794,644414,656645,667996,679203,689893,700119,709917,719521,728788,737469,745882,754120,762043,769630,776962,783856,790450,796991,803318,809332,815171,820968,826484,831706,836925,841964,846746,851483,855981,860288,864555,868652,872568,876426,880163,883931,887515,890986,894339,897514,900635,903747,906687,909633,912508,915279,917987,920616,923104,925590,928048,930367,932582,934917,937080,939043,941046,943090,945101,947037,948888,950792,952623,954369,956090,957816,959405,960977,962578,964007,965480,966913,968253,969636,970971,972306,973530,974774,975988,977246,978439,979573,980672,981768,982858,983874,
45930,0,49,614,2870,8305,17250,29906,45747,64088,84529,106218,128914,151960,175177,198476,221205,243446,265260,286219,306884,326964,346074,364400,382447,399634,415931,431847,447108,461723,475766,489372,502496,515074,527100,538730,549826,560669,570833,580691,590185,599479,608314,616753,624875,632805,640465,647815,655147,661995,668623,675009,681331,687383,693401,698965,704366,709656,714857,719875,724670,729322,733861,738324,742526,746608,750667,754499,758351,762054,765692,769163,772486,775855,778995,782121,785113,787975,790874,793585,796314,798969,801574,804117,806577,809014,811377,813692,815967,818117,820170,822132,824206,826224,828152,829986,831825,833698,835411,837167,838769,840339,841900,843496,845008,846481,847936,849395,850730,852111,853477,854753,855980,857219,858482,859641,860834,861898,863014,864096,
45940,0,7,138,903,3163,7551,14360,23748,35423,48953,63861,80060,96711,114241,132086,149887,167935,185414,202858,219776,236635,253212,269230,284609,299338,313705,327785,341312,354500,367241,379389,391147,402674,413912,424501,434776,444746,454228,463547,472455,481089,489327,497373,505227,512724,520015,527107,533921,540637,546999,553278,559374,565121,570725,576284,581718,586788,591748,596533,601336,605935,610386,614735,618916,622990,627100,630991,634743,638286,641816,645216,648504,651805,654974,658063,661144,664049,666904,669634,672402,675104,677734,680190,682607,685001,687356,689651,691884,694054,696171,698235,700301,702286,704166,706084,707867,709698,711461,713146,714772,716386,718030,719582,721128,722672,724212,725605,727004,728374,729751,731057,732312,733491,734722,735976,737160,738278,739418,740570,
45950,0,0,35,267,1028,2714,5901,10616,16854,24516,33629,43851,55111,67074,79575,92519,105800,119099,132336,145859,159192,172210,185095,197677,210123,222032,233996,245388,256777,267588,278287,288736,298862,308637,318033,326992,335904,344592,352905,361046,368962,376703,384136,391413,398499,405296,411905,418407,424443,430336,436294,441893,447477,452791,457999,462997,467867,472680,477377,481867,486277,490618,494709,498745,502685,506365,510004,513581,517041,520521,523930,527166,530403,533530,536583,539486,542371,545141,547914,550549,553143,555708,558157,560530,562903,565263,567542,569674,571724,573789,575860,577851,579725,581636,583465,585308,587060,588813,590536,592140,593721,595339,596876,598313,599833,601420,602820,604226,605570,606911,608249,609568,610807,612013,613192,614426,615558,616666,617804,
45960,0,0,10,87,414,1312,3097,5990,10002,15236,21777,29115,37241,46307,55672,65840,76230,86941,97733,108682,119840,130763,141600,152403,163044,173675,184125,194353,204374,214200,223758,233014,242112,250896,259575,267897,275903,283780,291551,299089,306476,313521,320386,327086,333628,340024,346182,352189,358069,363801,369270,374686,379932,385035,389974,394706,399503,404074,408379,412655,416728,420818,424726,428649,432404,436025,439652,443123,446503,449837,453034,456117,459167,462092,465033,467851,470699,473460,476220,478807,481314,483802,486255,488581,490883,493093,495203,497353,499349,501330,503355,505277,507164,509017,510831,512581,514241,516001,517741,519418,520990,522557,524090,525599,527087,528508,529928,531286,532593,533934,535226,536480,537708,538916,540106,541300,542368,543470,544511,
45970,0,0,3,31,159,580,1465,2970,5358,8638,12709,17685,23365,29746,36808,44282,52234,60470,68852,77459,86337,95293,104363,113287,122177,131059,139843,148447,157059,165439,173649,181696,189770,197511,205037,212479,219756,226709,233544,240249,246784,253245,259499,265674,271754,277567,283031,288487,293902,298980,304096,309217,314022,318798,323427,327797,332210,336451,340636,344648,348602,352427,356167,359874,363353,366812,370227,373460,376540,379739,382706,385737,388674,391504,394201,396861,399518,402140,404748,407234,409704,412074,414385,416656,418803,420983,423078,425147,427125,429150,431096,432975,434845,436615,438309,440067,441761,443358,445029,446664,448190,449676,451163,452604,454058,455530,456913,458277,459536,460856,462166,463433,464665,465909,467090,468235,469349,470425,471472,
45980,0,0,1,8,49,197,581,1308,2513,4259,6586,9722,13393,17683,22492,27776,33412,39464,45915,52574,59321,66247,73293,80338,87398,94588,101744,108754,115662,122601,129578,136548,143241,149940,156374,162878,169129,175270,181382,187317,192925,198512,203896,209406,214668,219760,224733,229689,234548,239244,243722,248197,252592,256898,261258,265292,269186,273165,276941,280573,284151,287706,291107,294417,297671,300874,304102,307157,310119,313064,315920,318785,321490,324214,326768,329400,331967,334444,336766,339116,341369,343606,345862,347982,350099,352076,354060,356059,357990,359915,361751,363495,365346,367071,368745,370409,372052,373636,375255,376806,378300,379681,381038,382443,383789,385180,386499,387863,389131,390419,391687,392904,394089,395232,396334,397414,398470,399527,400653,
45990,0,0,0,1,11,53,173,474,1054,1967,3257,4910,7034,9637,12611,16092,19821,23907,28267,32933,37784,42845,47932,53224,58733,64202,69791,75297,80867,86314,91831,97359,102913,108473,113876,119284,124498,129769,134789,139673,144417,149115,153784,158495,162956,167430,171748,176036,180124,184248,188328,192283,196242,199926,203604,207204,210722,214232,217668,221136,224306,227532,230644,233731,236679,239645,242527,245303,248088,250646,253247,255767,258233,260691,263055,265368,267702,269983,272179,274307,276410,278503,280581,282444,284485,286475,288387,290233,291980,293746,295529,297247,298900,300491,302096,303632,305133,306632,308060,309496,310919,312350,313641,314994,316346,317588,318825,320025,321233,322443,323629,324739,325840,326882,328014,329114,330170,331166,332129,
46000,0,0,0,0,4,17,50,156,367,691,1243,2062,3134,4514,6217,8096,10297,12886,15685,18581,21673,24996,28484,32091,35781,39515,43618,47595,51728,55770,59908,64105,68252,72397,76430,80564,84536,88714,92801,96705,100668,104649,108484,112307,115955,119601,123379,126847,130363,133845,137229,140485,143770,147075,150225,153382,156489,159516,162499,165329,168113,170870,173639,176283,178888,181417,183897,186395,188775,191198,193531,195830,198052,200178,202260,204355,206400,208468,210442,212402,214235,216118,217886,219689,221472,223148,224859,226512,228158,229771,231244,232723,234225,235624,237066,238492,239922,241257,242620,243963,245234,246508,247735,248972,250166,251364,252455,253510,254592,255695,256801,257812,258846,259817,260835,261833,262813,263727,264668,
46010,0,0,0,1,1,5,15,51,120,258,488,873,1357,2054,2918,3992,5226,6732,8336,10215,12269,14371,16672,19084,21671,24357,27044,29851,32772,35762,38816,41857,44891,47967,51042,54188,57352,60594,63789,66941,70103,73112,76222,79211,82248,85325,88257,91182,94096,96937,99751,102548,105251,107965,110692,113285,115753,118268,120781,123304,125800,128123,130519,132854,135089,137359,139503,141602,143798,145863,147886,149862,151817,153671,155540,157331,159105,160936,162665,164340,166065,167725,169369,170973,172482,174046,175546,177032,178454,179872,181264,182605,183943,185330,186638,187906,189142,190393,191606,192781,193918,195052,196180,197274,198319,199393,200416,201484,202494,203537,204505,205466,206398,207353,208239,209116,209977,210838,211675,
46020,0,0,0,0,0,0,3,10,28,70,150,281,460,739,1106,1572,2182,2898,3695,4635,5729,6938,8298,9710,11222,12871,14615,16453,18233,20110,22109,24219,26375,28563,30754,32900,35075,37353,39571,41818,44081,46368,48673,50981,53234,55448,57690,59916,62122,64371,66450,68620,70713,72842,74899,76946,78966,80941,82945,84862,86798,88670,90458,92333,94137,95958,97739,99469,101248,102983,104669,106292,107955,109617,111174,112705,114204,115687,117190,118631,120094,121429,122762,124124,125452,126843,128136,129485,130776,132018,133219,134470,135682,136861,138057,139150,140245,141342,142375,143447,144456,145448,146420,147329,148241,149181,150059,150972,151872,152734,153575,154441,155311,156138,156931,157725,158514,159352,160100,
46030,0,0,0,0,0,0,2,2,4,8,22,54,102,181,313,459,673,918,1259,1640,2099,2639,3198,3881,4637,5449,6379,7302,8297,9318,10431,11597,12823,14106,15383,16705,18022,19368,20756,22253,23677,25166,26654,28110,29595,31136,32700,34176,35658,37160,38667,40139,41576,43090,44625,46109,47585,49037,50465,51891,53357,54789,56196,57592,58895,60227,61595,62954,64231,65515,66702,67936,69154,70407,71602,72783,73980,75126,76270,77389,78586,79701,80847,81849,82931,83943,84981,85968,86999,88033,89054,90066,91028,91930,92806,93705,94638,95533,96376,97233,98053,98864,99664,100479,101303,102090,102905,103593,104351,105164,105865,106550,107227,107872,108540,109252,109911,110587,111282,
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46750,0,0,0,2,8,44,126,317,635,1136,1841,2729,3820,5155,6636,8401,10439,12603,14908,17331,19794,22414,25186,28011,30803,33640,36614,39552,42547,45517,48453,51501,54483,57302,60157,63105,65995,68830,71601,74484,77182,79910,82554,85174,87734,90288,92796,95316,97668,100034,102376,104615,106865,109034,111162,113218,115367,117427,119386,121364,123285,125244,127174,128975,130662,132503,134253,135943,137551,139249,140856,142454,143910,145456,146943,148315,149786,151194,152586,153998,155318,156628,157885,159149,160419,161645,162817,163926,165073,166257,167344,168462,169526,170636,171640,172644,173706,174678,175555,176504,177354,178277,179178,180056,180908,181745,182584,183413,184198,185009,185776,186526,187276,188010,188682,189368,190096,190752,191361,
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46840,631,6970,23043,48104,78820,112298,146394,180423,213241,244936,274492,302585,328972,354064,377742,399656,420447,440066,458637,475946,492310,507877,522365,536356,549530,562067,574134,585458,596222,606424,616144,625587,634429,642976,651130,658929,666529,673538,680412,687154,693397,699472,705345,710918,716489,721700,726766,731678,736502,741115,745526,749690,753764,757813,761684,765419,769064,772555,775875,779215,782367,785330,788335,791193,793979,796683,799366,802017,804600,807093,809418,811677,813878,815961,818090,820139,822147,824085,826045,827805,829667,831397,833097,834752,836389,838058,839640,841231,842684,844162,845609,847028,848332,849628,850995,852252,853476,854687,855855,857037,858200,859277,860349,861456,862432,863438,864416,865419,866359,867345,868261,869060,869940,870789,871658,872484,873289,874106,874860,
46850,163,2586,11016,25884,46343,70150,95749,122247,148850,175079,200497,224854,248059,270142,291336,311192,330350,348245,365440,381501,396768,411304,424974,438146,450917,462794,474221,485285,495776,505587,515183,524423,533049,541272,549357,557105,564493,571560,578383,584856,591195,597328,603195,608820,614293,619614,624753,629598,634306,638851,643319,647597,651739,655713,659595,663399,667031,670562,673942,677257,680496,683599,686729,689569,692427,695235,697842,700478,703009,705544,707930,710333,712691,714844,717047,719166,721198,723204,725134,727052,728947,730726,732491,734258,735960,737535,739151,740705,742243,743668,745099,746504,747929,749352,750635,751937,753185,754429,755666,756856,758040,759169,760274,761409,762520,763563,764579,765540,766552,767528,768445,769406,770297,771141,772023,772906,773717,774544,775371,
46860,68,1342,6239,16279,30944,49070,69420,91284,113717,136131,157853,179225,200229,220177,239265,257961,275476,292313,308266,323830,338629,352529,365748,378391,390282,401550,412579,423151,433177,442882,452063,460939,469541,477599,485444,492793,500038,507074,513762,520079,526311,532331,538102,543760,549070,554275,559393,564433,569001,573575,577993,582263,586297,590258,594114,597878,601380,604954,608415,611769,614971,618034,621179,624106,626955,629709,632427,635073,637698,640290,642643,645037,647430,649733,651941,654144,656208,658143,660055,661967,663774,665612,667316,669029,670779,672456,674106,675708,677254,678782,680223,681668,683085,684464,685784,687115,688380,689594,690773,691992,693198,694316,695470,696567,697673,698701,699744,700719,701739,702695,703607,704523,705434,706317,707203,708059,708883,709705,710496,
46870,24,584,3197,9384,19335,32545,48029,65202,83274,101801,120470,138887,156860,174446,191549,208205,224115,239350,254045,268312,281749,294652,307204,318991,330369,341161,351633,361515,371138,380328,389098,397705,405756,413559,420963,428330,435363,442092,448641,454757,460941,466855,472481,477930,483205,488210,493112,497856,502454,506915,511154,515483,519591,523606,527391,531065,534607,538160,541538,544720,547877,551029,554022,556959,559757,562516,565253,567792,570348,572800,575283,577655,579882,582062,584268,586396,588533,590526,592541,594507,596348,598165,599968,601730,603429,605037,606669,608201,609783,611302,612707,614122,615519,616896,618297,619643,620953,622255,623411,624649,625841,627008,628137,629251,630301,631360,632408,633432,634405,635337,636307,637227,638169,639141,640044,640887,641736,642542,643367,
46880,6,214,1439,4785,10828,19562,30654,43049,56803,71502,86505,101473,116303,131063,145585,159979,173829,187361,200197,212932,225111,236706,248032,258794,269151,279262,288828,298317,307290,316062,324397,332437,340189,347638,354770,361764,368471,374838,381084,387083,392768,398464,403928,409203,414239,419161,423845,428403,432854,437210,441426,445433,449398,453252,456921,460447,464092,467519,470795,474005,477157,480209,483216,486167,489012,491780,494429,496956,499561,502045,504472,506817,509098,511328,513572,515767,517754,519734,521712,523691,525539,527319,529136,530874,532576,534252,535784,537320,538920,540383,541888,543383,544830,546234,547533,548799,550113,551333,552589,553745,554891,556046,557174,558251,559360,560461,561538,562602,563619,564587,565564,566439,567357,568216,569084,569934,570799,571642,572400,
46890,1,47,455,2010,5128,10224,17008,25509,35033,45682,56864,68468,80066,91921,103698,115461,127161,138549,149693,160489,171098,181135,191178,200793,210019,219177,227870,236425,244561,252378,259964,267510,274544,281417,288007,294378,300703,306703,312531,318183,323624,329020,334192,339064,343868,348533,352936,357299,361650,365740,369774,373745,377538,381117,384705,388139,391488,394829,397974,401111,404085,407036,409865,412737,415499,418014,420655,423230,425741,428160,430534,432831,435055,437249,439405,441510,443472,445479,447449,449358,451163,453090,454882,456641,458314,459981,461519,462973,464499,465968,467370,468800,470216,471580,472881,474161,475381,476607,477790,478999,480159,481305,482410,483515,484586,485614,486642,487628,488620,489579,490493,491442,492399,493270,494147,494994,495802,496666,497501,
46900,0,7,137,672,2010,4490,8187,13101,19087,25960,33566,41489,50029,58764,67570,76635,85660,94714,103554,112319,120972,129329,137611,145744,153714,161423,168963,176366,183585,190487,197201,203554,209816,216015,222072,227925,233489,238822,244095,249143,254161,258994,263718,268289,272723,277013,281101,285173,289142,293061,296841,300467,304063,307542,310935,314231,317446,320551,323486,326465,329406,332155,334883,337515,340132,342651,345132,347558,349842,352162,354418,356567,358692,360743,362797,364799,366722,368619,370581,372346,374122,375856,377610,379243,380774,382333,383880,385322,386754,388143,389598,390948,392303,393607,394935,396209,397458,398636,399779,400959,402064,403188,404202,405253,406330,407319,408259,409183,410146,411101,412080,413016,413875,414756,415668,416480,417290,418042,418856,
46910,0,0,27,219,712,1735,3530,6161,9532,13786,18629,23957,29741,36023,42292,48941,55712,62572,69398,76242,82992,89881,96628,103286,109819,116109,122355,128585,134503,140395,146160,151729,157259,162552,167667,172751,177680,182527,187201,191711,196143,200363,204570,208656,212648,216552,220316,224027,227734,231283,234702,238014,241294,244335,247399,250527,253510,256384,259212,261982,264627,267274,269781,272324,274781,277218,279510,281750,283961,286124,288285,290259,292290,294209,296091,297921,299778,301616,303361,305063,306749,308374,309969,311602,313132,314640,316161,317643,319065,320468,321769,323120,324352,325584,326785,327998,329182,330336,331487,332573,333627,334635,335692,336641,337670,338656,339721,340665,341583,342468,343421,344321,345170,345971,346821,347702,348506,349264,350038,
46920,0,0,3,38,169,535,1203,2312,3825,5913,8551,11592,14995,18805,22767,26992,31515,36152,40949,45871,50739,55689,60842,65692,70723,75606,80408,85330,90061,94738,99450,104055,108565,112859,117225,121442,125584,129663,133484,137468,141192,144858,148468,151929,155312,158659,161900,165270,168463,171428,174406,177326,180246,183072,185830,188510,191144,193743,196282,198623,201000,203329,205619,207846,210003,212139,214233,216262,218213,220144,222010,223967,225812,227581,229329,231000,232705,234431,236014,237501,239016,240534,241984,243385,244789,246209,247570,248949,250222,251501,252717,253945,255145,256324,257413,258557,259645,260726,261799,262826,263872,264871,265840,266830,267778,268690,269587,270454,271310,272164,272994,273840,274671,275479,276249,277050,277831,278559,279298,
46930,0,0,0,5,19,82,250,547,1067,1841,2907,4254,5808,7583,9522,11809,14269,16962,19683,22585,25579,28722,31877,35198,38483,41837,45101,48475,51901,55274,58501,61839,65047,68300,71485,74619,77729,80836,83905,86915,89843,92765,95535,98287,100913,103638,106295,108835,111337,113832,116265,118501,120836,123162,125375,127516,129688,131814,133963,136037,138011,140018,141936,143828,145712,147594,149360,151035,152687,154318,155993,157598,159118,160658,162242,163720,165154,166595,167981,169437,170738,172036,173316,174568,175823,177031,178225,179420,180570,181729,182892,184020,185103,186145,187196,188224,189159,190153,191132,192105,193062,193948,194830,195671,196512,197356,198188,198977,199787,200567,201293,202082,202839,203599,204332,205036,205731,206425,207083,
46940,0,0,0,0,0,4,17,53,134,276,498,823,1256,1809,2482,3244,4114,5063,6175,7363,8645,10020,11560,13148,14772,16483,18196,20015,21855,23734,25623,27466,29412,31279,33177,35127,37099,39038,40952,42865,44717,46574,48417,50342,52156,53987,55839,57628,59347,61053,62735,64454,66044,67693,69359,70896,72464,73979,75552,77014,78428,79860,81321,82726,84088,85478,86810,88162,89498,90779,92038,93251,94443,95639,96811,97974,99112,100169,101222,102309,103331,104421,105447,106472,107514,108451,109430,110405,111340,112283,113166,114071,114893,115818,116628,117417,118262,119077,119871,120654,121379,122104,122873,123575,124285,124981,125674,126336,127014,127653,128262,128867,129504,130124,130728,131323,131906,132465,133048,
469543,12469,81717,203128,345893,489469,624356,746259,855171,950836,1035743,1110569,1176771,1235477,1287770,1334677,1376891,1414603,1448810,1479883,1508213,1533754,1556827,1578170,1597791,1615561,1632239,1647395,1661722,1674853,1686942,1698302,1708886,1718736,1727952,1736521,1744621,1752192,1759378,1766115,1772505,1778433,1784222,1789501,1794628,1799511,1804165,1808425,1812495,1816449,1820094,1823598,1826946,1830134,1833061,1835937,1838713,1841389,1844034,1846477,1848769,1851062,1853254,1855349,1857420,1859274,1861090,1862872,1864596,1866226,1867805,1869245,1870696,1872122,1873533,1874777,1876012,1877319,1878499,1879599,1880690,1881756,1882774,1883781,1884703,1885613,1886519,1887388,1888251,1889012,1889833,1890618,1891375,1892100,1892832,1893481,1894163,1894779,1895396,1895943,1896516,1897081,1897614,1898135,1898651,1899135,1899607,1900063,1900545,1900972,1901402,1901819,1902268,1902678,1903090,1903507,1903857,1904202,1904585,1904951,
46960,626,11056,45577,103646,177580,260055,343694,425988,504068,577261,645323,708117,765943,819207,867921,912423,953533,991060,1025917,1058070,1087478,1115039,1140289,1163656,1185133,1205556,1224398,1242040,1258570,1273969,1288351,1301735,1314447,1326151,1337553,1348245,1358246,1367596,1376570,1384880,1392932,1400415,1407594,1414387,1420912,1427064,1432965,1438550,1444020,1449176,1453986,1458648,1463155,1467461,1471460,1475399,1479035,1482582,1485987,1489265,1492424,1495471,1498335,1501099,1503848,1506363,1508803,1511193,1513440,1515684,1517736,1519695,1521740,1523708,1525590,1527360,1529073,1530781,1532394,1533968,1535474,1536945,1538332,1539710,1541033,1542336,1543595,1544785,1545961,1547083,1548186,1549218,1550262,1551240,1552133,1553086,1554052,1554888,1555724,1556565,1557407,1558174,1558935,1559721,1560463,1561188,1561827,1562514,1563208,1563838,1564437,1565071,1565652,1566221,1566760,1567312,1567821,1568397,1568887,
46970,60,2615,14962,42314,84014,135774,193164,253300,313551,372362,429291,483378,534195,581815,626464,667776,707087,743384,776981,808677,838065,865380,890896,914831,937545,958788,978353,996783,1014071,1030045,1045174,1059475,1072987,1085931,1097974,1109628,1120387,1130576,1140230,1149600,1158390,1166941,1174977,1182396,1189828,1196666,1203347,1209584,1215430,1221128,1226589,1231812,1236739,1241468,1246011,1250330,1254464,1258540,1262360,1266060,1269654,1273126,1276319,1279507,1282553,1285424,1288289,1291090,1293728,1296274,1298760,1301139,1303511,1305756,1307907,1309909,1311860,1313745,1315589,1317367,1319150,1320772,1322449,1324035,1325581,1327158,1328624,1330054,1331381,1332647,1333926,1335190,1336434,1337524,1338659,1339753,1340836,1341888,1342879,1343837,1344795,1345732,1346672,1347571,1348477,1349281,1350060,1350828,1351586,1352339,1353084,1353777,1354456,1355091,1355775,1356424,1357001,1357568,1358130,
46980,6,420,3763,13546,31710,57944,90916,128242,168609,210300,251988,293398,333613,372594,409514,444772,478556,510892,541165,570023,597150,622158,646125,669114,690463,710395,729438,747418,764175,780279,795387,809841,823636,836576,849060,860609,871673,882264,892112,901739,910730,919458,927796,935742,943353,950631,957480,964120,970616,976703,982695,988183,993559,998620,1003536,1008292,1012822,1017174,1021414,1025491,1029422,1033131,1036672,1040231,1043603,1046911,1049998,1052961,1055892,1058771,1061430,1063972,1066436,1068888,1071249,1073509,1075688,1077774,1079750,1081787,1083745,1085648,1087474,1089177,1090893,1092501,1094100,1095682,1097250,1098701,1100116,1101522,1102831,1104177,1105430,1106621,1107756,1108872,1110008,1111061,1112153,1113151,1114172,1115184,1116107,1117052,1117932,1118837,1119721,1120572,1121357,1122132,1122896,1123630,1124379,1125074,1125758,1126446,1127122,
46990,0,43,604,3017,9051,19690,34843,54023,76301,101258,127678,155103,182909,210340,237808,264380,290458,315902,340550,364068,386622,408040,428609,448341,466777,484532,501475,517765,533161,547865,561889,575184,588124,600041,611617,622803,633475,643753,653511,662733,671555,680016,688232,696149,703705,710879,717827,724375,730671,736728,742580,748289,753621,758821,763864,768587,773304,777917,782151,786264,790241,794066,797764,801350,804729,808065,811310,814345,817364,820323,823101,825804,828465,831028,833604,835900,838237,840415,842562,844772,846745,848650,850599,852426,854265,855994,857717,859276,860924,862479,864108,865635,867087,868554,869901,871210,872480,873689,874889,876058,877199,878310,879404,880417,881452,882459,883444,884358,885309,886201,887107,887927,888763,889536,890356,891089,891830,892560,893324,
47000,0,9,189,1237,4260,10211,19304,31546,46857,64489,83909,104697,126330,148008,170227,192210,213984,235404,256369,276639,296498,315580,333957,351407,368285,384480,400076,414939,428978,442338,455318,467683,479685,490957,501908,512552,522652,532356,541474,550389,559086,567207,575108,582519,589834,596637,603316,609641,615744,621668,627320,632859,638080,643222,648169,652844,657460,662021,666245,670271,674289,678153,681772,685356,688866,692300,695531,698590,701694,704713,707496,710230,712893,715421,717932,720363,722691,724998,727129,729311,731329,733342,735267,737111,738973,740756,742492,744190,745857,747471,748996,750533,751930,753302,754598,755982,757322,758632,759872,761004,762220,763334,764486,765596,766641,767691,768656,769616,770519,771395,772284,773108,774026,774869,775661,776407,777147,777897,778662,
47010,0,3,58,450,1724,4588,9787,17197,26751,38622,52221,67079,83032,99438,116451,133626,151314,168436,185399,202401,218828,235215,251020,266082,280881,295214,308823,322031,334766,346890,358834,370297,381207,391621,401507,411240,420592,429422,438054,446445,454644,462285,469787,476857,483649,490306,496553,502607,508566,514330,519890,525309,530422,535253,540051,544715,549098,553429,557454,561497,565349,569082,572737,576186,579492,582761,585890,588777,591772,594632,597382,600093,602774,605266,607735,610056,612460,614746,616962,619061,621102,623027,624934,626802,628694,630527,632191,633911,635526,637043,638635,640130,641545,642947,644321,645558,646847,648118,649357,650513,651702,652870,654055,655132,656204,657201,658225,659187,660099,660987,661857,662809,663638,664479,665304,666016,666762,667492,668235,
47020,0,0,18,123,630,1908,4510,8527,14086,21303,29842,39727,50370,62397,74646,87405,100592,113785,127282,140825,154307,167477,180515,193084,205469,217369,229038,240497,251550,262368,272763,282721,292509,301765,310826,319528,327907,336009,343885,351534,358778,365860,372631,379152,385444,391644,397602,403237,408677,414064,419228,424180,428919,433517,438075,442456,446529,450625,454531,458240,461928,465534,468937,472250,475478,478567,481544,484550,487489,490236,492961,495517,498047,500525,502799,505016,507175,509358,511516,513630,515591,517556,519420,521241,522964,524732,526298,527933,529521,531043,532537,534090,535513,536839,538171,539458,540757,542014,543250,544444,545599,546681,547815,548828,549865,550885,551915,552951,553908,554881,555796,556707,557533,558360,559136,559948,560740,561440,562175,
47030,0,0,2,34,204,678,1726,3598,6447,10406,15489,21547,28270,35996,44200,52955,62357,72124,82146,92034,102170,112271,122412,132321,142145,151754,161399,170689,179908,188722,197396,205736,214072,222233,230017,237490,244693,251859,258638,265258,271765,278025,283962,289906,295556,301105,306421,311558,316505,321329,326099,330482,334904,339126,343234,347258,351109,354819,358267,361895,365240,368548,371821,374903,377937,380835,383632,386314,388973,391574,394152,396572,398961,401320,403569,405786,407908,409928,411977,413961,415868,417730,419553,421321,422978,424660,426293,427861,429417,430915,432306,433729,435039,436397,437626,438903,440145,441302,442478,443610,444678,445704,446800,447872,448872,449793,450760,451658,452576,453485,454437,455277,456118,456924,457727,458505,459251,460015,460710,
47040,0,0,0,11,87,337,910,2006,3734,6354,9713,13951,18878,24499,30798,37677,44834,52437,60387,68651,77078,85394,93704,102054,110348,118596,126731,134823,142612,150353,157983,165590,172912,180034,186994,193696,200152,206478,212820,218966,225004,230720,236302,241569,246844,251780,256636,261356,265940,270432,274908,279117,283118,287071,290781,294519,298007,301618,305005,308291,311430,314501,317619,320532,323411,326147,328797,331441,334067,336499,338860,341176,343478,345670,347909,349998,352040,354071,356033,357898,359796,361612,363349,365050,366692,368241,369727,371254,372705,374173,375566,376884,378210,379512,380746,381976,383189,384395,385516,386609,387741,388761,389788,390737,391737,392725,393638,394595,395530,396371,397192,398036,398878,399680,400418,401158,401887,402590,403356,
47050,0,0,1,4,25,123,425,994,2039,3570,5769,8595,11964,15856,20347,25245,30564,36392,42450,48835,55434,62083,68919,75732,82477,89311,96210,103081,109776,116576,123107,129562,135940,142153,148230,154197,159903,165555,170971,176252,181462,186510,191354,196093,200801,205232,209613,213957,218296,222292,226245,230124,233800,237455,241026,244489,247914,251203,254332,257477,260447,263318,266180,268971,271629,274198,276739,279294,281708,283994,286314,288456,290632,292707,294707,296690,298658,300510,302347,304130,305856,307522,309112,310648,312228,313778,315264,316632,317994,319334,320658,322001,323290,324548,325757,326921,328077,329256,330375,331445,332465,333527,334565,335554,336529,337467,338354,339216,340046,340825,341638,342402,343150,343909,344655,345353,346068,346728,347391,
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47550,313,4395,17042,38646,66451,98072,131246,164301,196731,227960,257859,285963,312503,337401,360908,382905,403872,423251,441422,458542,474626,489804,504051,517486,530305,542460,553893,564933,574979,584556,593791,602489,610872,618802,626344,633428,640272,646779,653061,659009,664758,670142,675302,680242,685172,689753,694186,698449,702496,706536,710388,714056,717627,720979,724204,727422,730463,733482,736357,739056,741660,744155,746606,748953,751223,753499,755654,757753,759727,761670,763558,765426,767177,768902,770573,772219,773739,775271,776715,778122,779537,780899,782136,783379,784659,785838,786959,788064,789203,790231,791270,792327,793272,794220,795107,796021,796862,797667,798522,799386,800230,801049,801805,802570,803312,803988,804676,805326,805976,806607,807236,807861,808522,809138,809707,810229,810783,811310,811823,
47560,89,1798,8592,21410,40026,62836,87557,113574,139837,166007,191131,215223,238710,260904,281841,301840,320759,338633,355741,371819,387107,401223,414917,427509,439830,451301,462316,472652,482469,491816,500697,509281,517464,525158,532636,539805,546579,552926,558951,565004,570653,576090,581277,586261,591065,595616,600069,604245,608325,612267,616181,619735,623293,626674,630021,633102,636195,639139,641967,644723,647398,649891,652432,654825,657144,659367,661551,663691,665744,667713,669609,671414,673188,674964,676631,678226,679798,681348,682806,684165,685518,686938,688195,689520,690727,691967,693101,694202,695377,696427,697513,698563,699559,700528,701443,702399,703275,704215,705060,705879,706667,707465,708222,708979,709705,710421,711132,711800,712435,713134,713778,714363,714940,715504,716087,716660,717252,717785,718268,
47570,9,579,3529,10595,21732,36715,54159,73122,93081,113477,133459,153344,172692,191475,209632,226772,243447,259151,274197,288589,302252,315233,327392,339218,350355,361110,371241,381001,390134,398964,407365,415347,423047,430477,437524,444279,450702,456706,462675,468347,473768,479082,484002,488789,493436,497767,502093,506408,510269,514207,517901,521478,524856,528081,531304,534435,537473,540349,543106,545788,548494,551036,553473,555769,558117,560344,562549,564678,566728,568748,570705,572530,574304,576153,577819,579503,581086,582610,584112,585578,587035,588415,589788,591125,592371,593615,594821,596031,597140,598220,599286,600286,601333,602282,603288,604224,605085,605963,606847,607693,608504,609312,610099,610897,611625,612354,613048,613724,614349,615023,615709,616367,616966,617528,618135,618709,619277,619801,620323,
47580,2,262,1833,6163,13707,24385,37577,52485,68724,85647,102724,119699,136447,152749,168790,184182,198899,213030,226894,240154,252629,264766,276319,287337,298006,308169,317820,327105,335887,344491,352549,360358,367723,374797,381478,387891,394293,400079,405774,411273,416535,421619,426642,431309,435787,440094,444289,448337,452200,456004,459636,463048,466432,469741,472857,475803,478673,481457,484244,486912,489461,492025,494482,496793,499023,501206,503314,505348,507355,509339,511165,512992,514803,516528,518196,519850,521382,522871,524345,525733,527128,528518,529807,531164,532477,533671,534942,536100,537221,538355,539470,540557,541544,542529,543532,544495,545385,546232,547089,547841,548648,549462,550270,550996,551743,552450,553097,553787,554451,555106,555729,556345,556931,557482,558030,558585,559130,559655,560184,
47590,1,100,859,3391,8026,15102,24623,35714,48351,61704,75419,89396,103321,117079,130851,144121,157210,169619,181628,193248,204595,215517,226114,236240,246035,255340,264198,272764,280904,288785,296213,303464,310491,317349,323833,330056,335922,341628,347054,352165,357155,362012,366710,371174,375511,379744,383737,387738,391421,395086,398638,401952,405191,408489,411516,414547,417482,420176,422807,425425,427992,430475,432924,435239,437418,439556,441695,443693,445625,447541,449440,451223,452989,454734,456381,458004,459570,461092,462555,464006,465418,466810,468102,469362,470643,471828,472946,474135,475229,476319,477356,478380,479401,480426,481326,482249,483149,484007,484844,485641,486448,487250,488023,488797,489545,490246,490957,491629,492289,492906,493576,494159,494812,495435,495967,496492,497048,497625,498140,
47600,0,35,361,1541,4162,8633,14868,22584,31576,41593,52264,63212,74591,86053,97184,108452,119264,130054,140864,151144,161174,170793,180206,189095,197878,206279,214401,222288,229925,237181,244246,250912,257423,263586,269488,275160,280591,285788,290943,295819,300532,305220,309682,314063,318239,322295,326184,329945,333513,336969,340314,343558,346643,349630,352541,355332,358038,360720,363280,365749,368196,370595,372886,375116,377274,379335,381384,383313,385185,386998,388780,390448,392132,393885,395494,397101,398629,400106,401509,402909,404284,405622,406868,408107,409332,410487,411623,412843,413960,415082,416146,417161,418128,419097,420020,420915,421801,422648,423453,424246,425033,425833,426524,427250,427969,428641,429345,429997,430608,431261,431870,432544,433120,433725,434275,434817,435340,435929,436437,
47610,0,11,132,651,1982,4503,8196,13013,19035,26102,33693,41791,50212,58850,67689,76731,85597,94347,103277,111928,120343,128465,136434,144294,151858,159136,166225,172872,179525,186025,192248,198233,203994,209617,215104,220402,225330,230127,234750,239232,243596,247820,251907,255847,259716,263415,267016,270442,273854,277050,280237,283293,286292,289128,291929,294590,297154,299738,302107,304524,306766,309055,311256,313315,315290,317311,319313,321239,323085,324834,326569,328259,329926,331446,332975,334495,335900,337407,338758,340147,341432,342702,343999,345201,346366,347508,348605,349703,350790,351846,352850,353817,354800,355706,356602,357415,358247,359083,359904,360718,361443,362178,362893,363634,364316,365030,365662,366333,366987,367608,368256,368828,369437,370023,370601,371149,371651,372181,372709,
47620,0,0,23,214,752,1927,3840,6597,10160,14536,19450,24986,30833,37078,43557,50075,56818,63651,70336,77187,83920,90566,97095,103558,109753,115749,121593,127415,133139,138682,144173,149519,154511,159429,164220,168771,173139,177334,181493,185527,189413,193106,196843,200351,203858,207171,210406,213571,216651,219638,222523,225314,228029,230511,233069,235521,237961,240313,242596,244759,246866,248974,250945,252806,254777,256603,258451,260140,261806,263519,265140,266761,268359,269890,271298,272694,274150,275489,276794,278080,279328,280548,281701,282830,283973,285081,286139,287154,288193,289188,290183,291162,292056,292975,293803,294656,295462,296250,297029,297804,298536,299318,300027,300675,301363,302039,302738,303351,303961,304586,305165,305761,306300,306875,307396,307967,308527,309000,309475,
47630,0,0,6,70,243,745,1710,3125,5077,7607,10792,14285,18218,22474,27035,31745,36716,41841,46995,52286,57577,62922,68088,73202,78235,83215,88134,92974,97825,102417,106819,111136,115581,119870,123951,128006,131855,135588,139227,142693,146214,149536,152797,155918,159134,162146,165059,167928,170685,173276,175789,178319,180753,183078,185366,187531,189684,191869,193897,195924,197870,199728,201619,203413,205163,206873,208549,210262,211882,213414,214911,216362,217746,219114,220426,221733,222975,224239,225432,226592,227782,228891,229980,230995,232000,233016,234044,235052,235948,236862,237731,238591,239448,240281,241145,241895,242711,243489,244193,244915,245644,246349,247029,247727,248372,249037,249642,250276,250857,251432,251971,252482,253028,253543,254042,254560,255065,255545,255979,
47640,0,0,1,9,48,229,557,1140,2068,3368,5055,7105,9326,11827,14619,17751,21076,24478,27967,31644,35329,39053,42840,46627,50408,54163,57915,61616,65279,68921,72475,75968,79503,82757,86166,89424,92577,95679,98675,101726,104533,107357,110089,112770,115465,117984,120458,122927,125226,127470,129736,131953,134066,136128,138094,140099,141968,143793,145617,147427,149108,150713,152381,153993,155483,157069,158562,160059,161562,162972,164301,165608,166887,168104,169305,170473,171599,172742,173868,174982,176050,177107,178098,179077,180023,180928,181805,182608,183445,184332,185167,185990,186825,187562,188292,189075,189789,190505,191156,191809,192461,193084,193713,194332,194972,195536,196107,196650,197193,197730,198244,198720,199225,199704,200208,200665,201134,201586,202016,
47650,0,0,0,2,8,46,127,290,611,1055,1671,2499,3574,4872,6359,7971,9676,11633,13701,15791,18050,20366,22765,25254,27808,30261,32912,35497,38139,40627,43116,45576,48062,50544,52970,55330,57782,60129,62448,64723,66972,69149,71257,73343,75448,77476,79464,81398,83230,85060,86792,88537,90182,91902,93528,95141,96771,98316,99870,101350,102770,104139,105518,106930,108195,109475,110719,111924,113118,114279,115456,116552,117551,118602,119633,120609,121584,122547,123519,124491,125397,126287,127153,128008,128859,129698,130473,131213,132000,132752,133470,134210,134921,135584,136223,136855,137478,138129,138709,139315,139903,140468,141047,141597,142155,142726,143260,143774,144261,144737,145185,145616,146054,146501,146933,147355,147754,148179,148592,
47660,0,0,0,0,2,7,15,42,88,194,363,606,907,1307,1798,2410,3133,3935,4838,5784,6872,7971,9126,10341,11610,12949,14280,15731,17204,18700,20156,21656,23167,24640,26150,27634,29147,30550,31988,33360,34823,36243,37634,38992,40381,41706,43060,44330,45627,46968,48219,49406,50627,51793,52862,54021,55139,56249,57278,58369,59382,60384,61454,62449,63464,64402,65314,66256,67115,67991,68855,69737,70563,71333,72098,72855,73650,74397,75167,75876,76579,77250,77950,78579,79254,79864,80484,81102,81708,82300,82850,83430,83947,84508,85061,85547,86056,86600,87062,87581,88050,88521,88955,89416,89879,90287,90708,91095,91507,91901,92312,92663,93048,93435,93781,94106,94414,94754,95091,
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47683715,71699,194198,321087,434258,532041,615113,685851,747005,800402,846358,886799,922678,954736,983384,1009196,1032529,1054082,1073330,1091099,1107500,1122488,1136464,1149429,1161399,1172714,1183095,1192889,1202047,1210688,1218833,1226357,1233595,1240255,1246494,1252500,1258310,1263661,1268783,1273677,1278311,1282783,1286950,1290954,1294883,1298501,1302132,1305504,1308781,1311778,1314704,1317504,1320247,1322871,1325379,1327758,1330128,1332417,1334520,1336613,1338552,1340476,1342341,1344094,1345804,1347428,1349066,1350587,1352057,1353496,1354898,1356181,1357515,1358830,1360152,1361383,1362515,1363648,1364723,1365757,1366762,1367746,1368685,1369589,1370449,1371314,1372169,1373026,1373824,1374656,1375422,1376143,1376900,1377635,1378268,1378956,1379625,1380289,1380920,1381478,1382064,1382622,1383219,1383736,1384228,1384732,1385192,1385673,1386159,1386613,1387049,1387493,1387926,1388332,1388743,1389114,1389494,1389856,1390203,1390572,
47691047,37067,122823,223582,320527,408326,484851,551999,610466,662051,707850,748503,784611,816965,846212,872908,897113,919115,939404,957860,974755,990245,1004919,1018395,1030943,1042813,1053954,1064114,1074037,1083240,1091751,1099788,1107391,1114653,1121452,1127865,1134192,1140067,1145600,1150792,1155808,1160448,1164967,1169347,1173555,1177520,1181299,1185005,1188463,1191793,1194919,1198084,1201027,1203814,1206512,1209079,1211609,1213988,1216348,1218569,1220671,1222702,1224805,1226775,1228590,1230336,1232032,1233708,1235328,1236887,1238356,1239862,1241366,1242738,1244102,1245373,1246607,1247807,1249001,1250107,1251211,1252334,1253390,1254410,1255342,1256273,1257191,1258102,1258970,1259820,1260696,1261495,1262251,1262982,1263769,1264445,1265099,1265825,1266459,1267126,1267728,1268361,1268950,1269565,1270077,1270645,1271163,1271690,1272200,1272701,1273163,1273604,1274056,1274510,1274932,1275358,1275770,1276152,1276549,1276940,
4770209,15847,67568,139281,215413,289005,356024,416738,471284,519993,563452,602705,638333,670550,699587,725968,750216,772503,792851,811406,828924,845267,860166,874249,887295,899429,910876,921546,931691,941266,950149,958544,966515,973972,981298,988100,994657,1000912,1006729,1012365,1017690,1022562,1027374,1032076,1036480,1040724,1044772,1048654,1052540,1056092,1059534,1062776,1065894,1068826,1071747,1074527,1077284,1079819,1082296,1084665,1087056,1089353,1091514,1093585,1095648,1097504,1099374,1101137,1102838,1104539,1106190,1107754,1109236,1110700,1112165,1113596,1114956,1116318,1117655,1118941,1120131,1121295,1122404,1123512,1124540,1125536,1126503,1127424,1128352,1129280,1130193,1131073,1131928,1132720,1133548,1134318,1135030,1135793,1136518,1137248,1137878,1138523,1139144,1139776,1140396,1141001,1141551,1142145,1142682,1143255,1143723,1144243,1144716,1145173,1145628,1146095,1146551,1146997,1147430,1147837,
477121,4866,29399,73150,126131,181561,234984,285630,333012,376607,415997,452033,485050,515447,543430,568983,592455,614408,634531,653420,670460,686578,701772,715770,728906,741179,752854,763631,773993,783738,793002,801697,809915,817723,825256,832209,838790,845237,851361,857156,862680,867941,872910,877734,882526,886896,890987,895081,898956,902804,906452,909945,913252,916370,919476,922428,925259,927928,930512,933107,935528,937939,940239,942376,944476,946542,948529,950449,952325,954190,955947,957654,959367,960948,962473,964007,965521,966924,968278,969521,970808,972071,973217,974403,975532,976591,977612,978674,979651,980601,981596,982536,983407,984340,985179,985984,986766,987589,988343,989088,989820,990507,991205,991829,992528,993170,993748,994341,994925,995476,996034,996603,997123,997664,998146,998620,999105,999583,1000065,1000485,
47729,2417,17856,48499,89493,134847,180668,224888,267408,306598,342791,376419,407713,436368,462984,487642,510237,531245,550703,569132,586132,602145,617032,630832,644039,656350,667977,679007,689439,699081,708313,717068,725460,733461,740977,748076,754813,761217,767346,773171,778788,784118,789273,794160,798697,803297,807639,811689,815792,819417,822927,826318,829708,832908,836092,839038,841963,844717,847416,850081,852609,855040,857419,859623,861845,863976,865965,867999,869955,871823,873631,875393,877125,878759,880322,881775,883296,884730,886139,887467,888770,890060,891303,892509,893696,894835,895944,896995,898057,899079,900025,900957,901893,902742,903641,904526,905358,906138,906921,907695,908485,909195,909905,910627,911233,911924,912588,913223,913838,914416,914998,915551,916085,916662,917213,917746,918254,918723,919214,919667,
47731,974,9500,29791,59467,94680,132026,169297,205569,240347,272995,303564,332072,358663,383597,406885,428554,448625,467168,484776,501292,516851,531506,545086,558104,570225,581697,592554,602747,612234,621515,630445,638590,646384,653792,660969,667708,674109,680264,686072,691687,697188,702440,707383,712067,716572,720869,725006,728979,732700,736414,740026,743395,746576,749796,752802,755788,758598,761274,763866,766482,768987,771277,773611,775842,778036,780192,782229,784135,786094,787956,789780,791543,793182,794797,796317,797850,799336,800742,802117,803497,804869,806102,807260,808432,809609,810760,811812,812843,813902,814886,815852,816808,817705,818582,819494,820382,821230,822084,822925,823633,824374,825095,825779,826460,827190,827862,828499,829106,829733,830378,831005,831537,832106,832656,833208,833669,834177,834669,835148,
47740,323,4332,16151,35589,60805,89187,118765,148595,177586,205842,232700,258323,282232,304842,326114,346011,364881,382836,399477,414910,429621,443502,456739,469185,481040,492098,502532,512332,521894,530930,539438,547568,555379,562719,569672,576328,582678,588811,594647,600174,605505,610585,615511,620133,624647,628983,633195,637192,640989,644685,648165,651630,654935,658100,661187,664230,667090,669885,672585,675176,677723,680136,682437,684655,686818,688953,691052,693049,694968,696779,698572,700299,701956,703631,705259,706839,708312,709738,711134,712473,713770,715036,716230,717434,718622,719738,720854,721900,722985,724025,725045,725996,726944,727856,728776,729646,730484,731270,732066,732870,733690,734491,735237,735949,736617,737299,737954,738631,739294,739911,740521,741099,741645,742210,742732,743280,743833,744339,744829,
47750,86,1624,7501,19210,35506,55457,77207,100289,123413,146389,169102,190594,211050,230550,249509,267279,284153,300037,315405,329798,343626,356575,368711,380074,391089,401408,411648,421099,430189,438678,446929,454824,462225,469398,476044,482560,488713,494686,500408,505922,511165,516246,521059,525710,530057,534357,538397,542394,546163,549835,553243,556642,559903,563120,566196,569066,571924,574756,577402,579958,582435,584856,587144,589424,591586,593632,595668,597634,599594,601486,603320,605023,606725,608430,610067,611603,613109,614597,616023,617383,618680,619965,621166,622402,623603,624736,625893,626989,628078,629121,630090,631085,632027,632933,633878,634746,635633,636466,637251,638047,638814,639544,640308,641034,641728,642416,643103,643771,644366,644994,645624,646246,646856,647462,647999,648526,649072,649565,650070,
47760,30,799,4210,11905,23715,38867,56330,75085,94392,114066,133253,151883,170285,187945,204946,221216,236922,251460,265558,278930,291769,303989,315600,326461,337066,347195,356670,365796,374342,382552,390348,397790,405093,411944,418471,424797,430771,436488,441954,447370,452454,457379,462160,466669,470940,475045,479120,482982,486741,490378,493813,497191,500448,503573,506620,509501,512301,515055,517770,520237,522677,525093,527414,529697,531811,533875,535918,537946,539798,541637,543390,545127,546855,548590,550203,551834,553337,554757,556176,557592,558965,560291,561545,562868,564064,565223,566381,567498,568566,569598,570634,571645,572525,573463,574353,575217,576089,576905,577699,578549,579346,580082,580783,581549,582279,582965,583631,584282,584914,585527,586170,586725,587306,587893,588476,589004,589544,590085,590629,
47770,13,315,2137,6819,14734,25409,38566,53241,68650,84589,100829,117048,132598,147881,162907,177240,191383,204894,217458,229580,241144,252367,263080,273212,283059,292310,301133,309597,317799,325581,333055,340223,347157,353704,359909,365867,371696,377214,382526,387733,392764,397596,402119,406591,410788,414918,418843,422602,426343,429943,433368,436689,439873,442871,445761,448572,451238,453886,456586,459061,461472,463893,466162,468399,470576,472600,474564,476537,478473,480364,482214,483970,485634,487247,488870,490403,491869,493342,494783,496142,497447,498764,500008,501246,502453,503683,504810,505960,507041,508095,509153,510149,511087,512014,512882,513763,514628,515481,516281,517020,517802,518530,519273,520028,520748,521421,522114,522775,523454,524053,524643,525228,525777,526317,526846,527395,527898,528405,528923,
47780,3,127,982,3511,8287,15329,24386,35051,46815,59411,72466,85609,98869,111875,124456,136913,148907,160645,171829,182702,193405,203405,212997,222407,231212,239827,248025,255814,263403,270551,277532,284307,290768,296821,302814,308519,314026,319216,324258,329114,333759,338284,342717,347041,351083,354939,358617,362183,365748,369109,372310,375540,378646,381568,384349,387111,389822,392384,394913,397275,399572,401907,404141,406347,408456,410544,412451,414330,416187,417909,419766,421496,423069,424686,426196,427708,429164,430602,432022,433410,434714,435932,437129,438346,439546,440693,441831,442950,443996,445042,446103,447069,448025,448953,449809,450630,451494,452349,453189,453974,454711,455473,456154,456875,457538,458211,458890,459531,460151,460776,461421,462002,462559,463128,463684,464194,464692,465216,465735,
47790,1,34,343,1623,4191,8365,14168,21409,29600,38834,48434,58634,68789,79174,89401,99728,109765,119517,129061,138368,147422,156260,164806,172996,180798,188352,195612,202771,209668,216225,222643,228769,234788,240394,245937,251179,256267,261203,265855,270414,274790,278999,282975,286771,290464,294141,297731,301190,304515,307735,310818,313753,316690,319502,322306,324883,327390,329841,332181,334499,336776,338903,341017,343032,345068,346973,348885,350708,352483,354115,355761,357353,359007,360559,362125,363543,364976,366403,367782,369055,370330,371551,372815,373986,375101,376196,377292,378360,379440,380505,381560,382530,383512,384418,385282,386145,386995,387872,388631,389405,390186,390932,391676,392367,393043,393693,394368,394993,395606,396209,396777,397370,397922,398473,399004,399517,400036,400523,401031,
47800,0,8,114,561,1705,3845,6988,11208,16440,22500,29089,36276,43730,51373,59227,67112,75073,82919,90710,98294,105836,113025,120155,127153,133913,140497,146783,152884,158784,164563,170142,175465,180614,185610,190467,195215,199718,204023,208271,212345,216402,220166,223888,227473,230928,234409,237613,240780,243879,246932,249819,252556,255294,257929,260426,262933,265345,267648,269861,272089,274245,276297,278222,280226,282159,283938,285771,287483,289179,290779,292409,293976,295480,296940,298374,299719,301099,302432,303692,304936,306116,307307,308449,309602,310710,311812,312903,313891,314865,315805,316772,317738,318585,319405,320240,321081,321792,322611,323380,324136,324870,325576,326282,326925,327534,328179,328830,329442,330057,330666,331239,331809,332307,332821,333342,333843,334415,334923,335416,
47810,0,0,32,167,633,1570,3287,5772,8941,12712,17043,21878,27012,32471,38188,43966,50050,56030,61921,67818,73699,79535,85431,91099,96609,102154,107378,112629,117720,122685,127450,132089,136608,141006,145201,149380,153601,157518,161183,164901,168421,171849,175027,178254,181405,184472,187434,190407,193188,195977,198560,201123,203653,206077,208428,210634,212865,215030,216991,218970,220954,222899,224720,226486,228256,229945,231618,233268,234816,236315,237845,239304,240749,242117,243424,244695,245977,247230,248419,249651,250848,251969,253045,254058,255155,256242,257208,258167,259166,260026,260902,261745,262578,263415,264225,264989,265748,266503,267228,267954,268644,269328,270007,270641,271252,271853,272492,273063,273634,274238,274758,275355,275906,276415,276911,277389,277878,278328,278814,
47820,0,0,4,53,186,550,1216,2270,3835,5878,8296,11164,14415,17943,21748,25793,30038,34085,38453,42817,47269,51714,56161,60442,64816,69024,73293,77334,81255,85311,89220,92833,96505,100125,103677,107155,110485,113893,117093,120096,123127,126050,128879,131615,134410,137019,139585,142070,144497,146840,149154,151510,153638,155737,157723,159687,161638,163576,165388,167174,168937,170618,172317,173922,175552,177127,178637,180131,181489,182836,184100,185407,186689,187934,189158,190345,191446,192503,193591,194695,195759,196827,197806,198769,199672,200603,201522,202430,203260,204079,204893,205735,206518,207336,208118,208856,209614,210282,210951,211631,212261,212905,213497,214134,214722,215296,215864,216339,216903,217437,217960,218492,218986,219460,219942,220416,220843,221309,221746,
47830,0,0,0,3,33,126,330,717,1314,2116,3204,4556,6184,7984,10036,12266,14636,17198,19788,22582,25417,28335,31143,34078,37033,40032,42989,45993,48903,51858,54710,57441,60231,62948,65660,68254,70875,73394,75911,78430,80775,83198,85536,87843,89999,92054,94116,96092,98054,99973,101846,103712,105365,107107,108855,110505,112119,113725,115320,116895,118372,119764,121175,122575,123953,125277,126571,127831,129041,130199,131367,132516,133608,134676,135730,136789,137807,138774,139735,140699,141650,142545,143431,144304,145152,145993,146751,147545,148345,149108,149814,150506,151190,151835,152484,153206,153864,154516,155106,155673,156257,156782,157337,157922,158461,159007,159546,160086,160567,161061,161488,161942,162349,162737,163182,163605,164049,164455,164826,
47840,0,0,0,0,3,13,32,95,193,377,665,1069,1608,2240,2999,3905,4911,6030,7245,8524,9921,11395,12887,14438,16029,17665,19305,20992,22668,24317,26052,27717,29449,31169,32887,34625,36330,38018,39614,41264,42814,44428,45978,47462,48911,50370,51795,53191,54643,56038,57448,58746,60037,61338,62629,63919,65101,66228,67401,68513,69605,70718,71765,72761,73754,74753,75734,76677,77613,78512,79410,80330,81244,82087,82863,83672,84479,85238,85973,86704,87403,88151,88891,89549,90219,90879,91518,92152,92786,93408,93972,94552,95159,95707,96260,96839,97361,97850,98355,98808,99254,99730,100215,100681,101170,101621,102020,102425,102857,103248,103645,104063,104460,104820,105177,105527,105863,106221,106558,
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47866911,95021,231936,362297,474972,569341,648611,716301,773669,823463,866519,904921,938377,967987,994780,1018868,1040669,1060670,1078712,1095230,1110535,1124310,1137603,1149625,1160859,1171294,1181016,1190129,1198904,1206980,1214455,1221619,1228307,1234628,1240719,1246502,1251894,1257086,1262066,1266732,1271130,1275382,1279321,1283218,1286811,1290263,1293527,1296755,1299812,1302691,1305419,1308105,1310682,1313129,1315521,1317786,1320028,1322234,1324274,1326282,1328149,1330004,1331750,1333401,1335059,1336629,1338157,1339621,1341018,1342429,1343772,1345125,1346354,1347584,1348819,1349975,1351088,1352201,1353220,1354184,1355153,1356140,1357082,1357922,1358800,1359632,1360434,1361220,1362018,1362770,1363454,1364110,1364793,1365464,1366071,1366724,1367357,1367971,1368533,1369096,1369630,1370194,1370734,1371247,1371710,1372234,1372723,1373134,1373561,1373993,1374411,1374845,1375276,1375682,1376049,1376421,1376763,1377088,1377405,1377782,
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478997,9486,44679,98256,158659,218327,274472,326287,373416,416478,455467,490729,522775,552177,578573,602841,625319,645752,665022,682866,699329,714706,729014,742578,755068,766488,777508,787852,797604,806727,815439,823633,831314,838683,845759,852217,858532,864672,870512,875918,881072,886029,890690,895157,899478,903687,907684,911512,915098,918710,922241,925490,928667,931607,934495,937260,939919,942504,944996,947378,949656,951920,954089,956204,958227,960148,962026,963939,965729,967459,969119,970730,972333,973781,975275,976752,978087,979422,980688,981923,983108,984331,985482,986563,987582,988577,989521,990526,991460,992339,993226,994114,994978,995835,996623,997366,998150,998886,999627,1000320,1001013,1001693,1002380,1002994,1003651,1004240,1004806,1005372,1005904,1006453,1006990,1007528,1008068,1008578,1009095,1009580,1010039,1010481,1010898,1011343,
479030,4837,28207,68125,116706,166940,216014,262342,305696,345410,381815,415265,445706,473874,499751,523558,545500,565882,584658,602439,618738,633866,648069,661416,673897,685663,696507,706887,716505,725678,734437,742817,750527,757996,765123,771832,778149,784195,790031,795638,800790,805922,810739,815351,819785,824008,828132,832034,835774,839451,842693,846139,849322,852392,855423,858265,860947,863560,866147,868514,870942,873177,875412,877557,879642,881626,883570,885485,887276,889029,890690,892318,893936,895442,896934,898331,899772,901169,902500,903809,905043,906248,907383,908563,909668,910737,911806,912786,913778,914784,915717,916654,917514,918395,919245,920071,920862,921680,922459,923172,923890,924591,925249,925888,926508,927182,927821,928413,929013,929589,930152,930683,931246,931776,932278,932757,933257,933706,934176,934635,
47913,2142,15854,44015,80873,122103,163565,203708,242033,278067,311045,341771,370504,396652,421542,444357,465587,485283,503299,520251,536303,551179,564950,578110,590462,602180,613160,623475,633204,642365,651070,659618,667502,674888,681861,688659,695031,701113,706877,712459,717902,722986,727846,732560,737003,741327,745402,749441,753272,756894,760418,763822,767055,770188,773127,776055,778842,781465,784015,786483,788966,791222,793524,795758,797835,799906,801912,803825,805668,807495,809164,810814,812422,813998,815550,817022,818435,819792,821158,822516,823781,824999,826192,827350,828470,829663,830717,831780,832763,833705,834734,835636,836602,837456,838359,839154,839931,840703,841509,842251,842980,843659,844376,845060,845700,846316,846916,847550,848143,848723,849288,849808,850336,850902,851390,851935,852423,852879,853336,853786,
47921,891,7940,25320,51116,81896,115041,148217,180709,211883,241412,269147,295091,319284,341921,363005,382621,401141,418489,434932,450134,464481,477750,490533,502551,514018,524716,534726,544180,553297,561857,570028,577894,585221,592263,598974,605384,611577,617487,623035,628309,633483,638359,643122,647575,651938,656022,659987,663863,667531,670999,674432,677794,680962,683931,686902,689764,692489,695141,697721,700213,702571,704804,707012,709229,711327,713336,715241,717127,718918,720700,722444,724138,725754,727295,728804,730248,731648,732975,734272,735563,736753,737966,739135,740302,741430,742542,743628,744677,745681,746704,747665,748577,749487,750354,751144,751950,752762,753572,754335,755094,755867,756582,757281,757994,758651,759297,759969,760557,761166,761709,762297,762848,763360,763879,764414,764917,765403,765878,766366,
47930,233,3364,12927,28969,50000,74382,99831,125527,151104,175895,199585,221981,243205,263404,282534,300768,318134,334155,349288,363719,377194,389804,401847,413396,424268,434506,444020,453184,462078,470382,478294,485880,493167,500028,506524,512624,518629,524424,529790,535097,540104,544956,549557,554008,558233,562266,566163,569893,573488,576982,580350,583626,586817,589830,592727,595544,598348,600994,603578,605991,608406,610792,612996,615196,617249,619194,621096,622989,624890,626678,628431,630063,631710,633318,634814,636274,637715,639138,640558,641872,643093,644334,645611,646807,647984,649122,650272,651308,652315,653282,654213,655162,656005,656897,657782,658624,659389,660205,661009,661772,662526,663237,663979,664676,665393,666016,666663,667291,667938,668522,669123,669707,670270,670836,671371,671877,672424,672931,673394,
47940,96,1852,8008,19352,35347,54558,75282,96852,118537,140357,161666,181775,200983,219363,236767,253574,269617,284637,299074,312411,325282,337474,348876,359737,370048,379657,389073,398072,406589,414701,422344,429541,436515,443316,449693,456003,461683,467280,472723,477825,482770,487462,492081,496431,500608,504654,508574,512234,515815,519207,522602,525844,529024,532066,535005,537823,540543,543243,545781,548171,550572,552802,554973,557111,559171,561101,563033,564998,566822,568629,570441,572048,573672,575245,576856,578412,579889,581262,582686,584037,585320,586547,587809,588922,590044,591218,592275,593317,594360,595440,596372,597310,598267,599144,600063,600927,601752,602555,603395,604175,604846,605532,606276,607005,607698,608356,608990,609617,610208,610807,611367,611911,612481,613061,613560,614080,614640,615121,615622,
47950,40,864,4346,11603,22678,37019,53292,70859,88844,107163,125215,142806,159688,176066,191899,206988,221406,235122,248166,260474,272373,283738,294519,304869,314557,323669,332657,341157,349302,357053,364441,371519,378267,384740,390894,396800,402370,407806,412826,417904,422730,427330,431907,436207,440208,444068,447972,451622,455198,458692,462004,465175,468337,471294,474211,476840,479536,482200,484742,487175,489464,491617,493831,496026,498066,500044,501990,503861,505641,507426,509176,510817,512434,514006,515496,516989,518413,519828,521213,522532,523769,525004,526263,527469,528640,529701,530820,531884,532892,533893,534905,535868,536818,537699,538580,539460,540305,541065,541841,542596,543323,544029,544752,545432,546106,546801,547459,548082,548728,549324,549893,550487,551056,551581,552066,552579,553147,553679,554183,
47960,6,341,2139,6479,13705,23420,35451,48719,62876,77512,92138,106868,121181,135336,148996,162287,175110,187283,198918,210299,221230,231674,241585,251081,260205,268720,277056,284920,292664,299909,306888,313569,319990,326159,331967,337678,343005,348149,353201,358076,362629,367051,371319,375461,379516,383441,387020,390518,393851,397166,400338,403540,406582,409424,412142,414864,417480,419976,422406,424781,427081,429297,431462,433579,435616,437578,439468,441330,443057,444753,446407,448155,449646,451259,452722,454187,455581,457040,458397,459705,460984,462227,463443,464600,465755,466905,467973,469032,470068,471098,472005,473014,473973,474852,475723,476528,477346,478158,478958,479669,480427,481113,481795,482481,483141,483740,484357,484962,485515,486124,486729,487328,487931,488448,489007,489531,490073,490566,491050,
47970,1,105,792,3014,7141,13287,21413,30672,41223,52287,63724,75338,86988,98505,109747,121076,131837,142411,152798,162457,172060,181195,189972,198486,206513,214456,222086,229351,236352,243001,249481,255728,261708,267302,272783,278110,283267,288194,292839,297424,301864,306090,310079,313969,317868,321509,325063,328390,331678,334867,337942,340953,343735,346504,349187,351777,354293,356728,359110,361409,363598,365657,367700,369742,371778,373645,375521,377295,378997,380758,382442,384051,385587,387084,388488,389913,391277,392635,393969,395282,396534,397695,398828,400042,401137,402232,403303,404373,405381,406358,407342,408295,409190,410079,410956,411779,412577,413376,414190,414930,415646,416334,417054,417763,418418,419063,419679,420263,420879,421453,422049,422625,423174,423719,424258,424758,425224,425723,426209,
47980,0,20,281,1135,3046,6406,11039,16878,23696,31264,39610,48205,56994,65793,74628,83550,92125,100885,109259,117505,125489,133093,140538,147965,154987,161850,168421,174725,180970,186903,192702,198144,203520,208605,213606,218369,223040,227415,231708,235853,239839,243655,247291,250886,254376,257743,261102,264298,267371,270412,273347,276106,278742,281355,283849,286382,288841,291118,293261,295432,297507,299486,301450,303383,305188,306979,308775,310414,312018,313566,315199,316757,318218,319719,321149,322572,323854,325241,326481,327718,328956,330135,331291,332376,333481,334559,335597,336613,337557,338490,339410,340299,341161,342059,342857,343656,344415,345201,345942,346675,347391,348077,348712,349385,349986,350589,351209,351899,352469,353046,353626,354127,354654,355165,355656,356169,356674,357154,357620,
47990,0,7,85,422,1334,2982,5587,9048,13309,18386,24041,29997,36174,42643,49363,56077,62890,69661,76295,82968,89525,95954,102301,108498,114511,120364,125792,131318,136855,142001,147163,151879,156500,161033,165385,169585,173796,177766,181612,185327,188929,192421,195819,199093,202270,205404,208423,211353,214159,216897,219566,222165,224616,227047,229435,231725,233919,236037,238044,240008,242017,243905,245772,247610,249324,251028,252694,254318,255911,257437,258914,260327,261689,263085,264425,265663,266930,268111,269284,270438,271591,272703,273752,274845,275848,276892,277854,278817,279712,280632,281499,282356,283185,284023,284817,285569,286301,287088,287835,288555,289260,289937,290615,291198,291800,292382,292992,293585,294130,294680,295250,295788,296296,296791,297298,297797,298262,298712,299184,
48000,0,0,14,102,414,1104,2253,3980,6328,9242,12514,16237,20266,24695,29258,34050,39034,43982,49023,54050,58920,63746,68500,73275,77973,82582,87164,91594,95973,100285,104463,108567,112484,116408,120118,123757,127252,130647,133928,137093,140212,143292,146254,149145,151927,154603,157299,159759,162230,164676,166991,169334,171576,173686,175828,177854,179855,181760,183654,185449,187163,188885,190503,192136,193734,195210,196761,198230,199629,200991,202335,203660,204975,206266,207476,208643,209815,210900,211966,213027,214094,215135,216158,217100,218059,218940,219905,220763,221566,222390,223217,224057,224827,225543,226276,226991,227754,228430,229089,229748,230367,231000,231615,232214,232791,233385,233934,234504,235045,235592,236115,236599,237110,237610,238104,238571,239030,239460,239905,
48010,0,0,0,9,71,247,637,1247,2185,3423,5045,6880,8982,11386,13993,16791,19654,22787,25978,29237,32575,35988,39330,42615,45990,49170,52459,55759,58941,62120,65164,68178,71135,74068,76928,79753,82518,85143,87756,90323,92798,95279,97640,99967,102267,104569,106826,109000,111072,112975,114922,116847,118673,120535,122318,123984,125641,127256,128865,130399,131926,133475,134907,136281,137630,139026,140292,141562,142826,144040,145213,146317,147393,148514,149582,150665,151665,152695,153636,154571,155480,156393,157259,158115,158943,159791,160595,161386,162171,162921,163647,164369,165045,165788,166465,167119,167759,168358,168957,169595,170170,170700,171264,171802,172358,172897,173426,173979,174436,174917,175381,175820,176254,176682,177106,177540,178000,178405,178815,
48020,0,0,0,0,10,29,82,176,380,713,1145,1700,2414,3337,4394,5523,6794,8216,9785,11371,12977,14747,16539,18384,20243,22160,24125,26121,28063,30034,31949,33812,35764,37634,39555,41415,43209,45026,46825,48662,50435,52173,53864,55625,57273,58844,60412,61958,63415,64872,66309,67676,69034,70449,71769,73027,74316,75565,76762,77936,79161,80284,81399,82460,83529,84551,85546,86526,87491,88456,89360,90280,91166,92050,92918,93744,94550,95412,96245,97005,97766,98476,99226,99903,100579,101295,101955,102592,103220,103858,104490,105085,105678,106208,106729,107318,107888,108416,108941,109409,109909,110429,110897,111351,111803,112245,112664,113080,113539,113917,114320,114693,115057,115444,115790,116159,116475,116827,117188,
480341421,240686,440682,597428,719025,815675,893608,957740,1011423,1056851,1095582,1129285,1158529,1184809,1208113,1228991,1247844,1264781,1280233,1294351,1307418,1319469,1330656,1340984,1350716,1359482,1367655,1375295,1382513,1389392,1395752,1401953,1407703,1412985,1417966,1422814,1427331,1431638,1435741,1439687,1443416,1446855,1450234,1453431,1456524,1459544,1462295,1465003,1467518,1470031,1472405,1474624,1476694,1478752,1480738,1482650,1484591,1486369,1488102,1489752,1491368,1492814,1494371,1495750,1497112,1498456,1499710,1500939,1502101,1503256,1504402,1505512,1506575,1507579,1508582,1509533,1510441,1511338,1512183,1513075,1513869,1514677,1515459,1516206,1516911,1517633,1518308,1518950,1519644,1520229,1520841,1521445,1522061,1522629,1523187,1523709,1524234,1524742,1525239,1525719,1526197,1526657,1527063,1527488,1527891,1528303,1528722,1529084,1529437,1529831,1530169,1530547,1530890,1531205,1531521,1531836,1532140,1532413,1532701,1532970,
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48370,0,0,0,0,0,0,2,13,37,84,158,291,461,748,1086,1507,2039,2648,3291,4077,4951,5916,6948,8014,9248,10492,11755,13055,14347,15707,17090,18447,19840,21283,22693,24105,25522,26906,28273,29590,30908,32264,33583,34901,36182,37452,38702,39938,41114,42262,43392,44460,45612,46701,47730,48734,49684,50646,51612,52567,53456,54350,55224,56087,56941,57731,58513,59279,60009,60714,61448,62142,62810,63533,64168,64810,65422,66010,66625,67170,67751,68317,68860,69414,69928,70430,70859,71342,71810,72256,72696,73138,73593,73983,74400,74786,75133,75485,75831,76197,76544,76854,77160,77472,77797,78103,78440,78737,79016,79278,79551,79810,80061,80313,80537,80749,80967,81189,81408,
48380,0,0,0,0,0,0,0,2,3,14,26,59,109,183,288,433,620,849,1124,1433,1811,2228,2685,3188,3735,4336,4960,5591,6227,6904,7628,8351,9144,9931,10711,11554,12433,13246,14121,14918,15757,16614,17451,18218,19070,19869,20750,21549,22327,23091,23879,24671,25408,26123,26846,27567,28256,28947,29629,30266,30926,31551,32188,32779,33411,34024,34592,35156,35736,36280,36824,37337,37853,38359,38831,39318,39766,40222,40687,41112,41542,41942,42328,42722,43124,43485,43862,44212,44557,44914,45261,45610,45917,46213,46550,46851,47158,47414,47720,47989,48267,48516,48772,49022,49259,49473,49719,49925,50149,50361,50574,50762,50942,51143,51355,51562,51742,51934,52115,
48391237,55086,187237,340153,483088,608007,714626,805684,883161,949975,1007334,1057121,1100606,1138712,1172665,1202640,1229371,1253280,1275153,1294846,1312877,1329089,1344095,1357625,1370180,1381641,1392337,1402170,1411549,1420114,1427991,1435317,1442036,1448354,1454454,1460017,1465303,1470374,1475036,1479494,1483679,1487679,1491515,1495123,1498471,1501717,1504830,1507638,1510320,1512924,1515434,1517802,1520052,1522194,1524284,1526259,1528120,1529976,1531661,1533290,1534863,1536293,1537704,1539110,1540450,1541728,1543003,1544204,1545373,1546404,1547450,1548470,1549450,1550386,1551247,1552074,1552927,1553688,1554446,1555171,1555843,1556556,1557185,1557794,1558427,1559024,1559595,1560149,1560684,1561210,1561758,1562258,1562728,1563171,1563610,1564072,1564447,1564855,1565244,1565642,1566021,1566396,1566741,1567112,1567420,1567717,1568012,1568347,1568626,1568900,1569153,1569391,1569670,1569914,1570151,1570380,1570603,1570826,1571025,1571249,
484054,11256,62753,145693,240101,332533,418591,496466,566434,628543,684086,733330,777133,816120,851174,882770,911271,937245,960750,982249,1001937,1019973,1036564,1052066,1066327,1079127,1091274,1102667,1113097,1122707,1131911,1140459,1148660,1156181,1163090,1169732,1175904,1181840,1187439,1192785,1197871,1202492,1206851,1210995,1215014,1218896,1222601,1226002,1229279,1232412,1235407,1238182,1240936,1243537,1246027,1248438,1250609,1252810,1254857,1256871,1258761,1260581,1262355,1264017,1265672,1267241,1268671,1270082,1271451,1272742,1273988,1275207,1276423,1277515,1278678,1279744,1280730,1281753,1282756,1283687,1284585,1285390,1286209,1286986,1287771,1288477,1289174,1289887,1290524,1291161,1291776,1292407,1293000,1293568,1294108,1294633,1295156,1295631,1296137,1296616,1297084,1297479,1297911,1298355,1298776,1299133,1299530,1299884,1300224,1300574,1300900,1301212,1301568,1301861,1302173,1302462,1302754,1303016,1303265,1303516,
48414,3863,29127,79879,145825,217060,287284,353837,414820,470655,521091,566683,608342,646413,680780,711691,740184,766169,789862,811438,831398,849794,866702,882432,897102,910395,923097,934718,945586,955828,965467,974459,982920,990907,998439,1005560,1012182,1018502,1024269,1029893,1035138,1040212,1044808,1049425,1053709,1057848,1061776,1065546,1069135,1072464,1075666,1078736,1081637,1084385,1086969,1089617,1092089,1094489,1096618,1098752,1100832,1102868,1104750,1106540,1108295,1109934,1111540,1113091,1114560,1116032,1117339,1118633,1119856,1121123,1122310,1123471,1124558,1125613,1126633,1127661,1128669,1129576,1130513,1131382,1132218,1132978,1133765,1134500,1135232,1135931,1136608,1137256,1137898,1138516,1139101,1139675,1140237,1140783,1141350,1141837,1142314,1142803,1143299,1143711,1144139,1144536,1144935,1145313,1145724,1146093,1146434,1146816,1147153,1147456,1147786,1148055,1148344,1148624,1148893,1149172,
48421,902,11139,37887,78456,127138,178890,230388,280332,327410,370842,410977,447960,482737,514092,543051,569798,594241,616706,637880,657487,675711,692236,707957,722575,735909,748551,760486,771607,782111,791755,800866,809346,817565,825268,832501,839298,845763,851895,857611,863215,868467,873416,878097,882653,886944,890969,894858,898570,902157,905406,908670,911680,914621,917509,920149,922673,925157,927498,929728,931915,933935,935919,937840,939710,941506,943175,944846,946409,947908,949340,950716,952022,953311,954593,955835,956987,958068,959145,960153,961192,962211,963194,964122,965021,965922,966787,967617,968377,969147,969859,970496,971175,971806,972433,973047,973623,974208,974763,975312,975838,976312,976810,977295,977790,978279,978735,979166,979585,980002,980387,980747,981136,981528,981890,982228,982548,982871,983193,983490,
48430,161,3177,14266,35076,63268,96218,131771,167878,203947,238617,271450,302718,332124,359521,384897,408730,430990,451767,471106,489223,506029,521976,536629,550274,563364,575399,586595,597211,607246,616812,625894,634400,642436,649913,657081,663880,670334,676455,682399,688070,693239,698214,702996,707592,712128,716247,720110,723906,727573,731069,734317,737427,740500,743368,746127,748790,751377,753812,756194,758461,760643,762767,764749,766639,768414,770205,771942,773561,775211,776706,778170,779558,780912,782234,783471,784699,785864,787008,788069,789151,790181,791144,792168,793076,793965,794899,795743,796576,797376,798133,798842,799568,800271,800940,801567,802218,802838,803435,803988,804548,805037,805547,806040,806522,806999,807501,807992,808413,808853,809300,809695,810085,810460,810841,811210,811543,811900,812256,812616,
48440,51,1427,7627,21187,41140,66114,93905,123250,153002,182062,210718,237887,263617,288029,311103,333025,353529,372840,390899,407752,423595,438568,452307,465709,478007,489850,500888,511387,521060,530223,538974,547253,555157,562681,569749,576472,582862,588914,594702,600155,605409,610448,615197,619652,623855,627940,631881,635678,639208,642666,645980,649081,652159,654975,657751,660450,662977,665421,667793,670069,672196,674264,676281,678221,680053,681770,683498,685144,686743,688321,689755,691213,692558,693918,695186,696426,697628,698802,699982,701051,702108,703187,704163,705073,705987,706899,707697,708604,709414,710165,710876,711575,712264,712943,713585,714229,714865,715465,716074,716648,717262,717797,718319,718861,719330,719808,720268,720703,721152,721591,721976,722405,722783,723146,723512,723889,724238,724601,724945,
48450,9,555,3856,11760,24795,42282,62745,85623,109288,133232,156904,180205,202399,223769,243990,263604,282234,299675,315863,331405,346028,360196,373284,385785,397418,408393,418763,428678,438022,446800,455386,463424,470935,478300,485027,491513,497624,503402,508890,514260,519352,524057,528771,533259,537533,541529,545388,549077,552660,555979,559236,562350,565362,568221,570899,573509,576019,578570,580868,583088,585288,587408,589462,591330,593219,595027,596703,598371,600012,601605,603106,604540,605873,607170,608486,609734,610959,612132,613248,614325,615332,616401,617423,618353,619336,620239,621120,621966,622761,623543,624305,625031,625708,626400,627066,627709,628383,628994,629562,630093,630666,631220,631755,632284,632791,633238,633725,634155,634587,634999,635434,635849,636218,636593,636977,637347,637696,638023,638332,
48460,2,194,1600,5909,13851,25284,39639,55992,73716,92229,111322,130063,148431,166208,183597,200516,216512,232097,246571,260273,273479,285988,298036,309326,320157,330306,340074,349343,358128,366291,374129,381582,388699,395485,401934,408097,413921,419587,424974,430147,435074,439727,444064,448325,452427,456299,460038,463497,466872,470070,473150,476134,479130,481947,484632,487229,489740,492029,494353,496582,498684,500891,502867,504728,506558,508426,510189,511885,513498,515081,516546,517968,519346,520670,521961,523158,524351,525501,526626,527667,528729,529730,530670,531601,532581,533452,534295,535139,535925,536745,537491,538243,538937,539601,540221,540845,541439,542056,542657,543210,543766,544308,544808,545331,545842,546328,546813,547284,547738,548164,548560,548972,549372,549756,550161,550518,550882,551224,551541,
48470,1,72,626,2638,6787,13279,22188,33140,45798,59378,73567,87849,102174,116812,130711,144657,157966,170925,183470,195511,207014,217879,228454,238513,248112,257160,265907,274048,281984,289660,296782,303573,310019,316336,322341,328096,333427,338688,343765,348544,353181,357492,361653,365713,369578,373258,376755,380112,383406,386498,389541,392469,395222,397987,400555,402994,405378,407599,409777,411967,414000,415902,417792,419686,421479,423215,424818,426458,427942,429376,430793,432194,433543,434835,436062,437270,438461,439598,440735,441807,442825,443811,444812,445733,446626,447567,448384,449227,449993,450731,451488,452229,452957,453645,454287,454916,455533,456108,456675,457268,457810,458420,458922,459384,459883,460342,460801,461272,461713,462120,462551,462906,463261,463642,464025,464373,464721,465067,465412,
48480,0,21,322,1467,4121,8604,15027,23196,32948,43708,54973,66882,78904,91123,103168,115023,126649,137952,148984,159559,170085,180032,189611,198702,207336,215726,223791,231559,238970,245988,252720,259131,265401,271298,277093,282409,287467,292392,297008,301589,305946,310126,314058,317855,321625,325161,328539,331668,334792,337770,340693,343477,346129,348705,351237,353681,356018,358204,360351,362423,364379,366310,368191,369952,371701,373356,374925,376515,377939,379371,380749,382029,383327,384580,385719,386937,388060,389169,390280,391325,392317,393273,394241,395129,396005,396931,397712,398542,399343,400123,400891,401592,402260,402929,403575,404206,404825,405440,406035,406625,407202,407720,408220,408670,409149,409618,410097,410517,410945,411369,411779,412160,412569,412957,413342,413666,414010,414338,414670,
48490,0,7,130,720,2238,5102,9534,15321,22474,30529,39491,48955,58693,68696,78535,88652,98598,108437,117987,127303,136352,145142,153455,161767,169565,177210,184482,191473,198227,204625,210821,216778,222476,227811,233083,238140,242891,247610,252039,256170,260340,264276,268108,271736,275204,278593,281841,284830,287744,290632,293354,295955,298555,300961,303273,305593,307787,309937,311925,313912,315750,317576,319329,321001,322596,324200,325730,327204,328691,330074,331424,332693,333878,335080,336230,337402,338506,339574,340622,341621,342630,343561,344500,345402,346290,347076,347870,348674,349437,350165,350889,351592,352254,352894,353535,354160,354778,355385,355935,356480,356942,357487,358013,358503,358950,359381,359851,360263,360689,361117,361532,361913,362319,362694,363058,363390,363712,364064,364377,
48500,0,2,47,332,1147,2821,5575,9415,14273,20018,26548,33820,41356,49162,57248,65373,73389,81492,89542,97504,105072,112602,119775,126857,133694,140474,146832,152939,158815,164589,170188,175445,180536,185486,190166,194729,199156,203399,207334,211231,214932,218514,222058,225455,228565,231742,234756,237681,240524,243215,245690,248233,250688,252997,255234,257378,259458,261428,263341,265205,266969,268752,270359,271980,273608,275180,276594,278020,279444,280708,281952,283193,284387,285539,286625,287717,288678,289736,290718,291671,292570,293513,294394,295291,296110,296948,297764,298541,299270,299997,300649,301399,302019,302648,303208,303755,304318,304866,305403,305952,306490,306978,307472,307949,308429,308833,309269,309705,310132,310539,310921,311294,311673,312034,312404,312733,313089,313391,313691,
48510,0,0,17,118,490,1361,2900,5178,8364,12283,16751,21835,27328,33142,39205,45519,52068,58499,64973,71429,77766,83947,90138,96105,101979,107656,113047,118340,123702,128761,133622,138374,142830,147063,151311,155407,159356,163190,166835,170338,173727,176934,180089,183224,186112,188993,191830,194442,196933,199311,201667,203932,206239,208378,210434,212406,214378,216200,217918,219632,221360,223011,224646,226188,227661,229162,230533,231892,233221,234515,235727,236860,238071,239213,240239,241269,242244,243279,244235,245116,246013,246883,247712,248534,249294,250058,250800,251526,252226,252897,253553,254204,254771,255383,255936,256484,257045,257576,258062,258597,259082,259567,260065,260518,260960,261397,261788,262190,262582,262967,263297,263676,264028,264361,264693,265020,265324,265650,265945,
48520,0,0,2,35,186,573,1329,2565,4281,6622,9526,12792,16455,20398,24602,29159,33989,38800,43722,48794,53736,58713,63520,68312,73060,77728,82278,86594,90848,95040,99116,103092,106905,110646,114204,117849,121282,124640,127855,131010,133995,136931,139808,142526,145103,147601,150042,152403,154739,156822,158951,160957,162979,164950,166831,168681,170442,172160,173815,175336,176856,178319,179780,181156,182494,183825,185119,186372,187530,188656,189729,190840,191921,192932,193873,194819,195750,196686,197558,198376,199232,200059,200810,201543,202281,202956,203642,204303,204950,205595,206223,206804,207368,207930,208493,208979,209502,210010,210472,210985,211425,211929,212374,212819,213233,213626,214040,214408,214799,215198,215548,215897,216225,216522,216850,217166,217485,217771,218066,
48530,0,0,0,13,54,213,558,1189,2149,3502,5174,7334,9857,12569,15567,18819,22131,25872,29474,33162,36926,40706,44507,48308,52092,55836,59495,63029,66545,69974,73436,76751,80049,83211,86312,89271,92194,95089,97887,100653,103287,105841,108323,110617,112888,115064,117216,119261,121233,123188,125148,127031,128804,130539,132215,133808,135388,136930,138397,139826,141137,142463,143763,145074,146321,147526,148632,149718,150803,151842,152913,153923,154924,155824,156740,157620,158436,159291,160090,160875,161626,162349,163034,163697,164413,165082,165704,166335,166942,167543,168131,168649,169174,169660,170179,170706,171245,171742,172152,172600,173062,173518,173910,174331,174724,175136,175501,175833,176154,176468,176796,177090,177403,177704,177979,178282,178583,178890,179147,
48540,0,0,0,4,13,70,204,461,890,1609,2517,3708,5181,6777,8683,10757,12962,15307,17710,20316,22935,25599,28275,31009,33748,36470,39261,42004,44781,47508,50075,52734,55294,57864,60331,62741,65178,67482,69703,72003,74145,76233,78202,80171,82130,83998,85808,87617,89324,90940,92526,94106,95596,97113,98536,99918,101243,102567,103921,105153,106420,107562,108646,109705,110794,111860,112859,113830,114812,115702,116627,117531,118383,119190,119948,120738,121512,122252,123001,123683,124374,125084,125729,126343,126963,127552,128125,128674,129206,129755,130264,130821,131301,131799,132262,132700,133171,133590,134016,134428,134784,135180,135535,135874,136245,136568,136893,137225,137570,137875,138177,138486,138792,139048,139322,139598,139861,140117,140353,
48550,0,0,0,0,5,17,61,152,323,545,934,1463,2129,2945,3863,4914,6175,7510,8953,10522,12179,13941,15686,17512,19385,21325,23265,25100,26957,28861,30688,32561,34400,36227,38068,39788,41562,43353,45092,46806,48407,50070,51606,53190,54682,56127,57562,58997,60264,61573,62871,64154,65338,66487,67623,68750,69848,70914,71985,72986,73961,74955,75891,76771,77687,78561,79419,80282,81114,81850,82573,83308,84038,84744,85401,86043,86697,87358,87910,88523,89099,89670,90229,90770,91286,91805,92315,92795,93272,93749,94210,94636,95035,95475,95881,96252,96637,96992,97384,97767,98110,98428,98795,99087,99425,99714,100004,100317,100600,100882,101152,101392,101641,101867,102127,102359,102584,102783,103001,
48560,0,0,0,1,1,1,4,17,46,109,201,342,547,798,1174,1608,2128,2654,3327,4041,4773,5610,6503,7426,8364,9403,10467,11534,12602,13702,14863,16016,17118,18191,19297,20425,21565,22663,23767,24847,25895,26994,28081,29092,30086,31041,31982,33006,33948,34913,35829,36693,37507,38327,39139,40036,40858,41697,42433,43211,43944,44644,45349,46035,46722,47381,47995,48605,49172,49747,50338,50903,51438,51967,52452,52968,53524,54005,54535,55015,55465,55907,56302,56732,57130,57532,57914,58298,58703,59080,59453,59786,60115,60443,60761,61083,61421,61718,61973,62272,62551,62797,63074,63329,63570,63840,64068,64295,64525,64724,64951,65118,65326,65523,65714,65901,66118,66313,66485,
48575981,105508,271782,432168,570064,683909,778829,857549,924250,981113,1029840,1072142,1108828,1140787,1169279,1194806,1217691,1238322,1256575,1273296,1288523,1302277,1314960,1326861,1337497,1347540,1356659,1365148,1373192,1380566,1387410,1393737,1399835,1405471,1410720,1415678,1420383,1424723,1428906,1432807,1436428,1439914,1443190,1446365,1449322,1452188,1454976,1457650,1460152,1462541,1464757,1466842,1468861,1470823,1472657,1474372,1476049,1477683,1479234,1480820,1482194,1483597,1484880,1486176,1487309,1488419,1489539,1490559,1491567,1492563,1493470,1494385,1495318,1496160,1497030,1497821,1498574,1499310,1500029,1500691,1501373,1502008,1502628,1503179,1503758,1504312,1504814,1505348,1505856,1506387,1506849,1507290,1507722,1508150,1508607,1509006,1509373,1509761,1510097,1510461,1510797,1511142,1511452,1511777,1512080,1512382,1512664,1512897,1513177,1513449,1513715,1513942,1514182,1514404,1514633,1514831,1515029,1515211,1515398,1515596,
4858629,32187,118790,225895,330820,426337,510091,582933,646629,701855,750399,793392,831441,865427,895778,922785,947375,969584,989597,1008083,1024610,1039824,1054068,1067142,1079229,1090420,1100945,1110636,1119750,1128062,1135823,1143128,1150112,1156665,1162869,1168715,1174147,1179167,1183972,1188474,1192820,1196907,1200814,1204482,1207951,1211238,1214428,1217468,1220343,1223059,1225678,1228162,1230556,1232796,1234968,1237024,1239120,1241018,1242877,1244663,1246390,1248042,1249604,1251072,1252464,1253875,1255203,1256485,1257738,1258917,1260040,1261239,1262295,1263290,1264218,1265179,1266084,1266908,1267722,1268511,1269282,1270011,1270789,1271512,1272195,1272846,1273475,1274107,1274713,1275295,1275803,1276339,1276866,1277394,1277903,1278390,1278851,1279269,1279679,1280097,1280486,1280895,1281291,1281698,1282046,1282365,1282708,1283036,1283343,1283641,1283937,1284196,1284486,1284755,1285022,1285256,1285528,1285760,1285986,1286222,
4859140,14148,66772,143618,226927,306967,380980,447420,506181,558530,605302,647018,684366,717597,747531,774605,799116,821628,842221,860991,878332,894122,908729,922219,934764,946519,957475,967655,976910,985685,993829,1001607,1008701,1015679,1022222,1028124,1033857,1039242,1044466,1049504,1054097,1058412,1062494,1066375,1070081,1073596,1077020,1080301,1083452,1086433,1089279,1092001,1094630,1097062,1099324,1101511,1103689,1105724,1107727,1109548,1111417,1113107,1114804,1116332,1117938,1119376,1120821,1122210,1123492,1124769,1125959,1127158,1128335,1129405,1130453,1131432,1132455,1133407,1134327,1135156,1135980,1136783,1137558,1138304,1139076,1139766,1140452,1141071,1141685,1142275,1142878,1143493,1144018,1144562,1145101,1145618,1146123,1146588,1147045,1147502,1147940,1148381,1148805,1149178,1149542,1149908,1150245,1150603,1150936,1151335,1151653,1151957,1152252,1152540,1152853,1153130,1153396,1153692,1153966,1154212,
486017,4944,31614,80327,139677,201647,261466,317295,369136,416183,458701,497228,532421,564132,592846,619388,643439,665608,685974,704553,722026,737934,752657,766265,778938,790801,801752,812248,821775,830769,839148,847023,854602,861599,868133,874382,880220,886004,891361,896419,901393,905999,910348,914480,918309,922077,925538,928919,932121,935238,938231,940966,943605,946202,948668,951031,953350,955556,957620,959471,961359,963210,964926,966637,968290,969821,971303,972793,974208,975584,976855,978131,979382,980544,981694,982770,983784,984773,985750,986711,987634,988496,989361,990214,990992,991757,992484,993196,993860,994538,995177,995801,996430,997039,997628,998167,998712,999230,999727,1000199,1000692,1001165,1001635,1002064,1002482,1002901,1003276,1003690,1004060,1004420,1004759,1005096,1005434,1005722,1006065,1006390,1006692,1006954,1007182,1007419,
48611,1248,11837,37046,73229,115305,158782,202416,244245,283128,319915,353505,384504,413372,439584,463996,486567,507354,526736,544599,561128,576557,590803,604099,616620,628363,639233,649524,659105,668084,676697,684756,692223,699441,706265,712584,718721,724500,730128,735239,740116,744813,749182,753433,757404,761297,764994,768579,771968,775238,778301,781182,784011,786592,789078,791596,793959,796199,798405,800467,802476,804384,806298,807996,809678,811288,812867,814365,815902,817298,818691,819993,821231,822474,823630,824777,825877,826955,828019,829037,830021,830930,831802,832672,833468,834269,835081,835846,836539,837228,837913,838585,839259,839874,840478,841042,841607,842152,842680,843199,843748,844249,844755,845179,845630,846028,846451,846844,847253,847644,848015,848368,848688,849031,849343,849676,849966,850278,850564,850836,
48620,474,6384,22759,48827,81378,117028,153168,188973,223176,255886,286226,314829,341210,365786,388650,409795,429539,448164,465341,481114,495959,509676,522796,534932,546365,557144,567182,576560,585414,593805,601748,609355,616429,623220,629515,635626,641376,646949,651979,656797,661478,665968,670120,674105,677884,681575,685163,688508,691615,694771,697778,700628,703266,705836,708313,710783,713064,715274,717413,719434,721264,723102,724965,726741,728421,730003,731539,732995,734474,735863,737170,738401,739588,740763,741900,743002,744128,745179,746215,747207,748114,748996,749838,750678,751501,752333,753087,753816,754570,755266,756010,756652,757287,757922,758491,759048,759651,760176,760714,761244,761688,762169,762624,763043,763465,763906,764347,764771,765190,765568,765973,766355,766698,767092,767390,767696,767995,768319,768602,
48630,155,3160,12880,30647,54252,81655,110696,140051,169189,197220,224084,249560,273375,295739,316666,336134,354342,371762,388096,403236,417182,430513,443018,454663,465648,476041,485998,495441,504046,512180,519799,527140,534111,540744,546970,552969,558549,564000,569010,573866,578548,582923,587129,591170,594998,598570,602038,605387,608649,611689,614691,617486,620082,622592,625034,627435,629698,631854,633951,635962,637915,639834,641571,643312,645001,646597,648179,649645,651062,652502,653931,655145,656364,657585,658723,659852,660956,662063,663113,664090,665048,665948,666846,667691,668579,669393,670187,670939,671664,672391,673049,673712,674339,674964,675614,676224,676829,677406,677910,678432,678936,679457,679898,680337,680778,681211,681637,682053,682466,682884,683254,683623,683979,684310,684666,685012,685360,685644,685939,
48640,58,1288,6642,17361,33307,52976,75090,98240,121691,144788,167498,189118,209910,229403,247992,265450,281885,297456,311986,326179,339405,351939,363559,374680,385077,394563,403905,412551,420802,428772,436139,443158,449824,456217,462255,468015,473420,478604,483590,488175,492714,496990,501132,505071,508748,512216,515695,519035,522215,525193,528135,530868,533504,535915,538337,540696,543000,545193,547316,549298,551221,553183,554944,556658,558350,559954,561556,563074,564521,565873,567204,568480,569743,570993,572255,573386,574466,575529,576597,577594,578545,579481,580364,581255,582090,582864,583708,584468,585221,585947,586655,587315,587975,588596,589247,589871,590439,590966,591473,591985,592478,592954,593429,593901,594320,594743,595187,595550,595944,596363,596765,597147,597496,597843,598171,598515,598847,599157,599450,
48650,8,445,2888,8834,18386,31426,46822,63808,81590,99451,117564,135291,152686,169293,185003,200182,214819,228557,241584,254027,265782,276974,287446,297557,307040,316099,324740,332887,340590,347952,354912,361500,367863,373948,379697,385266,390448,395535,400196,404660,409114,413082,417064,420868,424470,427932,431227,434409,437467,440318,443072,445867,448433,451012,453382,455718,457961,460111,462110,464157,466059,467907,469647,471304,472968,474572,476030,477496,478882,480237,481594,482846,484145,485319,486548,487675,488730,489762,490765,491702,492628,493582,494443,495346,496161,496961,497767,498576,499328,500072,500758,501417,502060,502684,503295,503886,504474,505058,505565,506093,506596,507087,507569,507993,508420,508876,509331,509716,510136,510520,510916,511270,511642,512026,512346,512662,512955,513266,513531,
48660,2,205,1581,5375,12063,21422,33046,46396,61064,76073,91435,106378,121136,135533,149588,163154,176392,188949,200881,212206,222986,233342,243197,252509,261389,269848,277828,285680,292905,299822,306353,312790,318773,324391,329743,334925,339811,344552,349071,353494,357778,361783,365584,369211,372727,375993,379224,382259,385184,388044,390769,393387,395952,398394,400741,402960,405190,407273,409287,411268,413063,414833,416571,418248,419902,421450,422940,424387,425747,427079,428393,429612,430873,432011,433162,434312,435383,436398,437415,438372,439302,440208,441147,442018,442836,443628,444370,445161,445906,446626,447275,447956,448563,449157,449757,450334,450917,451525,452026,452528,453060,453554,454005,454429,454852,455297,455785,456182,456559,456953,457338,457741,458109,458474,458800,459127,459414,459741,460052,
48670,3,94,813,3043,7339,13773,22339,32550,43654,55873,68277,80930,93507,105973,118139,129841,141438,152452,163082,173373,183068,192445,201405,209871,218177,225981,233455,240643,247339,253922,260219,266151,271817,277145,282295,287175,291905,296297,300668,304816,308774,312363,316126,319688,323022,326257,329344,332321,335185,337878,340492,342994,345369,347759,349990,352103,354195,356216,358125,359952,361727,363481,365178,366751,368338,369878,371360,372754,374166,375460,376722,377839,379006,380097,381216,382270,383274,384290,385264,386221,387141,388074,389011,389805,390614,391442,392253,392966,393683,394407,395059,395753,396328,396960,397557,398154,398770,399311,399867,400382,400896,401389,401858,402335,402799,403261,403693,404090,404503,404869,405239,405597,405960,406316,406664,406998,407290,407606,407885,
48680,0,34,344,1502,3964,8104,13963,21323,29730,38896,48569,58621,68967,79150,89169,99207,108966,118395,127537,136478,145131,153355,161304,169043,176433,183425,190286,196955,203117,209005,214639,220298,225531,230519,235317,239877,244277,248549,252529,256364,260024,263631,267081,270391,273566,276621,279550,282478,285202,287838,290394,292860,295248,297531,299725,301758,303752,305757,307562,309430,311220,312913,314493,316069,317598,319061,320453,321819,323164,324437,325628,326745,327849,328913,329947,331021,332015,332938,333857,334760,335622,336473,337329,338182,339017,339827,340609,341324,342005,342652,343312,343933,344526,345078,345665,346211,346737,347272,347776,348277,348792,349258,349734,350164,350578,351014,351391,351802,352172,352560,352919,353252,353580,353918,354245,354553,354906,355217,355551,
48690,0,9,139,651,1983,4470,8039,12815,18553,25053,32166,39759,47850,55881,64105,72351,80366,88171,96028,103604,110955,118079,124820,131444,138003,144269,150111,155884,161550,166857,171897,176618,181390,185794,190075,194353,198389,202292,206025,209605,213017,216429,219659,222730,225652,228504,231230,233772,236343,238790,241097,243358,245473,247593,249600,251541,253439,255300,256985,258621,260209,261873,263404,264873,266240,267604,268877,270193,271403,272590,273726,274871,276011,277087,278069,279060,280023,280944,281837,282751,283638,284455,285248,286003,286741,287447,288169,288872,289550,290224,290882,291525,292072,292656,293185,293701,294282,294792,295309,295770,296232,296692,297152,297584,298007,298424,298783,299152,299498,299879,300263,300605,300972,301313,301633,301956,302261,302578,302904,
48700,0,5,31,239,854,2052,4012,6815,10309,14601,19472,24853,30462,36459,42471,48632,54718,60899,67068,73116,79153,84965,90595,96064,101401,106678,111795,116712,121378,126034,130480,134748,138865,142857,146673,150375,153993,157409,160711,163816,166861,169742,172582,175369,178039,180677,183174,185571,187849,190139,192255,194322,196312,198188,200075,201791,203487,205264,206901,208462,209933,211420,212862,214243,215606,216868,218126,219340,220492,221633,222664,223708,224713,225716,226658,227578,228513,229424,230289,231097,231873,232675,233433,234166,234865,235575,236241,236896,237523,238160,238768,239367,239916,240502,241037,241533,242034,242527,243017,243454,243896,244347,244776,245198,245594,245955,246337,246705,247067,247425,247753,248112,248421,248724,249016,249285,249580,249889,250147,
48710,0,0,16,97,363,964,1988,3558,5762,8527,11735,15338,19260,23424,27874,32396,37061,41778,46533,51327,56010,60745,65300,69799,74224,78589,82900,87097,91180,95075,98713,102406,106003,109381,112634,115796,118941,121959,124887,127586,130372,132929,135413,137958,140374,142686,144910,147049,149196,151186,153096,154958,156724,158463,160153,161804,163354,164896,166439,167904,169287,170611,171822,173109,174369,175589,176741,177899,179030,180048,181012,181991,183022,183981,184811,185662,186509,187332,188114,188854,189565,190275,190966,191686,192374,193014,193618,194244,194860,195397,195986,196556,197095,197620,198134,198633,199084,199561,199997,200429,200854,201254,201663,202033,202394,202756,203121,203464,203825,204158,204512,204810,205102,205346,205621,205899,206139,206409,206645,
48720,0,0,2,21,89,318,741,1495,2625,4102,5955,8131,10592,13302,16102,19213,22439,25766,29249,32717,36273,39824,43297,46854,50195,53571,56809,60106,63307,66385,69399,72417,75269,78071,80734,83343,85996,88447,90924,93356,95734,98009,100144,102211,104334,106285,108271,110159,111976,113752,115458,117065,118620,120140,121610,123134,124496,125862,127233,128553,129830,130994,132198,133323,134447,135431,136451,137454,138431,139358,140305,141238,142104,142914,143753,144510,145254,146003,146759,147461,148123,148851,149498,150153,150765,151344,151912,152484,153073,153606,154099,154591,155080,155556,155966,156403,156810,157230,157609,158030,158420,158765,159135,159502,159865,160223,160568,160876,161186,161510,161822,162155,162458,162733,163018,163285,163563,163852,164114,
48730,0,0,0,3,25,75,217,479,918,1536,2395,3422,4662,6071,7747,9549,11517,13579,15689,17911,20225,22496,24784,27139,29435,31779,34203,36481,38775,41076,43399,45570,47743,49879,51957,53998,55988,57932,59878,61745,63563,65329,67075,68725,70333,71869,73494,74946,76417,77779,79207,80535,81786,83050,84229,85407,86560,87722,88889,89953,91013,92058,93044,94005,94886,95784,96613,97433,98285,99069,99849,100607,101320,102046,102756,103402,104081,104729,105363,106007,106555,107115,107687,108241,108786,109312,109831,110301,110775,111238,111672,112118,112521,112952,113366,113822,114193,114590,114985,115321,115698,116058,116380,116730,117028,117320,117627,117907,118203,118475,118745,118990,119237,119476,119732,119984,120206,120436,120684,
48740,0,0,0,0,3,5,33,74,169,340,611,921,1364,1864,2480,3235,4102,5066,6033,7111,8321,9554,10829,12090,13417,14792,16217,17592,18974,20380,21795,23171,24559,25977,27279,28621,29922,31211,32460,33693,35020,36193,37378,38540,39692,40833,41932,43009,44103,45177,46220,47165,48143,49069,50028,50935,51800,52652,53451,54234,55021,55836,56584,57294,57944,58626,59292,59998,60589,61248,61877,62480,63109,63674,64226,64754,65263,65787,66284,66714,67156,67621,68086,68568,68987,69457,69882,70272,70665,71038,71382,71750,72096,72460,72786,73108,73396,73705,74051,74338,74642,74936,75194,75450,75694,75932,76174,76385,76616,76826,77054,77288,77469,77655,77866,78061,78236,78401,78583,
487514314,151431,334179,494347,625167,731041,817425,888866,948932,999583,1042644,1080291,1113025,1141556,1167037,1189497,1209884,1228269,1244651,1259682,1273190,1285493,1297220,1307670,1317397,1326411,1334760,1342602,1349731,1356511,1362901,1368565,1373970,1379220,1384063,1388570,1392877,1397015,1400846,1404392,1407735,1410996,1414119,1417062,1420016,1422656,1425200,1427573,1429839,1431923,1434006,1436017,1437889,1439691,1441406,1443038,1444567,1446068,1447518,1448939,1450326,1451580,1452823,1453984,1455092,1456134,1457140,1458145,1459114,1460027,1460967,1461838,1462714,1463516,1464280,1464981,1465698,1466393,1467064,1467707,1468342,1468942,1469515,1470074,1470611,1471150,1471669,1472167,1472610,1473078,1473518,1473967,1474348,1474732,1475119,1475499,1475875,1476213,1476543,1476864,1477164,1477484,1477767,1478087,1478409,1478708,1478979,1479230,1479494,1479772,1480001,1480215,1480450,1480666,1480897,1481118,1481322,1481530,1481711,1481903,
48762409,58322,170106,289635,398373,492044,571958,640605,699165,750355,794249,833367,867512,897844,924658,949196,971277,991293,1009343,1025555,1040636,1054387,1067138,1078860,1089634,1099793,1109274,1117987,1126054,1133551,1140609,1147275,1153566,1159490,1164968,1170058,1174929,1179573,1183867,1187933,1191835,1195559,1199085,1202447,1205586,1208561,1211401,1214132,1216783,1219307,1221677,1223948,1226076,1228174,1230134,1232055,1233835,1235598,1237182,1238851,1240338,1241825,1243248,1244545,1245865,1247141,1248401,1249590,1250781,1251851,1252867,1253886,1254862,1255846,1256773,1257613,1258455,1259285,1260081,1260885,1261566,1262293,1262966,1263591,1264224,1264833,1265416,1266003,1266562,1267094,1267622,1268087,1268563,1269034,1269502,1269961,1270396,1270791,1271215,1271620,1272003,1272356,1272718,1273078,1273414,1273742,1274059,1274345,1274630,1274902,1275194,1275483,1275747,1275982,1276238,1276491,1276719,1276934,1277152,1277375,
4877633,29864,105665,198618,289435,372215,445770,509997,566219,615454,658630,697127,731135,761209,788474,813172,835535,855867,874453,891406,906864,921172,934331,946510,957794,968376,978208,987273,995587,1003530,1010908,1017710,1024153,1030511,1036271,1041768,1046977,1051989,1056595,1060992,1065176,1068960,1072721,1076293,1079736,1082946,1086060,1089010,1091813,1094460,1097016,1099445,1101795,1104017,1106164,1108189,1110115,1111964,1113749,1115460,1117184,1118800,1120356,1121793,1123175,1124544,1125846,1127097,1128356,1129524,1130653,1131708,1132712,1133767,1134829,1135723,1136600,1137420,1138253,1139037,1139811,1140602,1141315,1142028,1142692,1143347,1143975,1144618,1145186,1145772,1146331,1146853,1147360,1147889,1148395,1148861,1149327,1149741,1150203,1150631,1151031,1151442,1151828,1152197,1152543,1152906,1153240,1153572,1153873,1154157,1154476,1154776,1155043,1155338,1155628,1155920,1156175,1156428,1156641,1156888,
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487912,3925,25525,64161,112333,163240,212695,259990,303320,343700,380391,413544,443829,471699,496935,520081,541300,560665,578644,595338,610772,624984,638398,650871,662364,673136,683322,692653,701394,709695,717617,725131,732011,738471,744757,750556,756058,761281,766267,770998,775371,779804,783724,787542,791111,794622,798076,801294,804392,807308,810042,812673,815231,817670,820024,822292,824407,826556,828516,830395,832219,834027,835682,837329,838938,840362,841818,843227,844645,845938,847157,848376,849565,850703,851757,852784,853827,854804,855836,856742,857616,858499,859316,860055,860849,861637,862353,862968,863649,864250,864923,865561,866183,866713,867279,867835,868354,868871,869392,869880,870369,870835,871270,871677,872116,872490,872884,873255,873622,873952,874335,874690,875035,875337,875656,875948,876249,876532,876792,877070,
48808,1907,15052,42793,79763,121575,163853,204974,243694,279745,313264,343920,372240,398272,422429,444758,465281,484277,501758,518034,533166,547290,560475,572666,583944,594586,604462,613820,622616,630754,638640,645968,652934,659458,665750,671556,677139,682386,687280,692007,696623,700864,704997,708897,712605,716160,719667,722808,725949,728948,731859,734589,737146,739717,742066,744442,746642,748660,750730,752685,754586,756415,758138,759736,761312,762901,764335,765731,767077,768334,769632,770807,771976,773130,774267,775347,776383,777356,778316,779261,780186,781086,781881,782678,783437,784212,784975,785701,786333,786992,787671,788245,788861,789471,790051,790590,791124,791649,792174,792660,793150,793589,794013,794446,794872,795294,795699,796052,796460,796832,797201,797551,797896,798192,798532,798822,799139,799431,799708,799967,
48810,807,8089,26417,53224,85508,119631,154303,187743,219290,249134,277090,302934,327041,349744,370694,390245,408326,425158,440670,455142,468511,481134,492836,503971,514369,524080,533486,542170,550392,558154,565297,572141,578556,584841,590657,596118,601419,606204,611045,615519,619753,623758,627761,631565,635179,638592,641817,644982,647946,650884,653583,656174,658705,661051,663357,665516,667611,669632,671602,673459,675233,677033,678663,680308,681848,683271,684723,686143,687509,688836,690085,691305,692567,693747,694825,695823,696819,697785,698684,699632,700507,701347,702107,702936,703687,704411,705136,705807,706489,707145,707850,708461,709082,709660,710240,710789,711285,711813,712331,712793,713254,713719,714206,714643,715068,715481,715855,716253,716598,716963,717332,717668,718003,718335,718641,718993,719289,719588,719866,
48820,291,3960,15080,33274,56788,82846,110301,137903,164989,190833,215322,238383,259935,280215,299013,316765,333329,348763,363240,376824,389456,401488,412922,423552,433636,442852,451639,459879,467671,475155,482114,488926,495253,501206,506869,512436,517596,522442,527189,531653,536019,540060,543976,547749,551281,554654,557873,560928,563861,566684,569387,572007,574430,576834,579145,581250,583368,585400,587434,589312,591145,592877,594522,596125,597713,599215,600780,602175,603489,604800,606047,607369,608495,609572,610657,611734,612707,613710,614610,615554,616449,617320,618135,618992,619793,620600,621316,621958,622684,623331,623988,624626,625237,625825,626400,626959,627507,628040,628532,629031,629518,629960,630360,630789,631196,631610,632026,632424,632826,633187,633524,633879,634211,634534,634870,635176,635496,635790,636074,
48830,70,1512,7151,18016,33587,52361,72951,94419,115596,136671,157012,176344,195101,212640,229208,245113,260106,274190,287655,299946,311614,322543,333034,342969,352283,361269,369519,377456,384957,392040,398686,405136,411302,417013,422539,427814,432861,437608,442083,446394,450385,454315,458087,461527,464841,468095,471282,474265,477123,479923,482560,485044,487474,489824,492056,494250,496324,498344,500296,502225,504013,505785,507503,509080,510659,512100,513550,515006,516354,517666,518910,520173,521321,522408,523474,524563,525593,526610,527566,528488,529372,530222,531095,531903,532692,533447,534223,534933,535608,536297,536931,537601,538201,538769,539352,539884,540400,540924,541479,541965,542413,542835,543306,543752,544191,544592,544985,545363,545737,546073,546446,546798,547104,547458,547801,548085,548399,548698,548965,
48840,24,782,4171,11652,22923,37218,53649,71460,89382,107384,125240,142281,158968,174981,190167,204678,218306,231290,243590,255222,266285,276748,286608,296124,305021,313351,321587,329195,336376,343147,349582,355655,361618,367178,372354,377392,382145,386779,391198,395370,399396,403109,406847,410459,413817,417036,420137,423011,425814,428525,431086,433569,435919,438323,440530,442582,444607,446602,448584,450417,452159,453894,455536,457137,458629,460118,461584,463000,464296,465543,466759,467942,469147,470275,471353,472442,473420,474404,475371,476279,477199,478079,478870,479692,480449,481266,481971,482716,483425,484140,484836,485428,486050,486647,487219,487784,488305,488843,489349,489826,490309,490801,491294,491719,492126,492512,492924,493313,493690,494069,494444,494806,495149,495483,495815,496116,496438,496735,497040,
48850,9,355,2270,7039,14850,25366,37921,51921,66586,81619,96773,111355,125529,139562,153007,165749,178079,189773,200903,211785,221852,231612,240716,249376,257603,265397,272903,280183,286874,293391,299518,305239,310802,316098,321049,325926,330522,334916,339118,343093,346911,350509,353992,357478,360816,363936,366932,369785,372532,375138,377610,379980,382296,384569,386736,388867,390896,392886,394738,396602,398244,399898,401584,403091,404522,405996,407383,408706,409960,411179,412403,413555,414699,415715,416784,417824,418782,419701,420629,421594,422476,423371,424167,424997,425784,426480,427187,427950,428660,429299,429922,430561,431182,431761,432299,432864,433402,433924,434419,434911,435422,435863,436337,436790,437235,437634,438042,438414,438773,439139,439491,439807,440159,440537,440898,441214,441517,441856,442163,
48860,2,150,1141,3847,8666,15834,24856,35244,46601,58725,70936,83320,95343,107207,118745,130003,140794,151269,161212,170610,179812,188668,197179,205162,212706,219923,226765,233446,239764,245817,251501,256975,262250,267324,271975,276501,280892,285112,289118,292749,296468,299984,303357,306463,309628,312644,315511,318264,320889,323399,325828,328195,330513,332679,334794,336819,338814,340696,342456,344208,345902,347529,349128,350602,352008,353391,354754,356055,357311,358527,359709,360816,361938,362971,364027,365032,366045,366967,367888,368747,369627,370422,371193,371997,372799,373580,374302,374989,375658,376345,376989,377599,378252,378819,379355,379907,380430,380929,381484,381967,382409,382895,383316,383713,384142,384544,384908,385284,385654,386001,386349,386723,387068,387402,387749,388075,388360,388654,388934,
48870,2,50,476,1926,4692,9187,15135,22344,30549,39461,48766,58345,68248,77781,87292,96805,105835,114678,123201,131552,139552,147138,154394,161375,168254,174676,180966,186966,192663,198163,203425,208447,213210,217783,222179,226210,230262,234138,237746,241277,244789,248087,251193,254191,257082,259911,262519,265087,267644,270031,272283,274500,276658,278678,280651,282508,284368,286181,287975,289621,291262,292798,294331,295768,297206,298558,299889,301173,302377,303532,304698,305784,306830,307840,308802,309780,310694,311563,312427,313264,314093,314928,315710,316423,317137,317881,318578,319305,319983,320596,321198,321821,322385,322929,323484,324042,324546,325058,325548,326013,326456,326902,327318,327709,328131,328470,328880,329243,329575,329952,330268,330614,330911,331190,331509,331855,332159,332417,332698,
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49381,711,6544,20299,40188,64287,89826,115606,140867,164935,187493,208679,228709,247272,264865,281022,296112,310135,323511,335788,347410,358293,368406,378158,387115,395594,403603,411346,418429,425209,431620,437605,443399,448834,453907,458677,463200,467594,471904,475960,479775,483419,486916,490257,493515,496552,499525,502275,504982,507521,509938,512304,514584,516751,518841,520740,522710,524581,526389,528130,529723,531407,532959,534407,535896,537288,538673,539955,541242,542472,543591,544765,545845,546828,547850,548839,549773,550662,551522,552389,553227,553984,554760,555565,556249,556981,557670,558306,558932,559544,560147,560760,561369,561872,562371,562892,563336,563815,564278,564751,565174,565572,566002,566391,566772,567153,567547,567876,568217,568579,568880,569195,569498,569825,570118,570447,570738,571019,571303,571543,
49391,356,3710,12859,27349,46136,67013,88456,109839,130785,151080,170259,188310,205330,221108,236093,250226,263483,275874,287491,298330,308703,318392,327486,336124,344286,351978,359230,366090,372549,378787,384729,390291,395613,400657,405453,410049,414374,418561,422606,426414,430044,433304,436593,439734,442639,445505,448361,450891,453399,455815,458129,460307,462430,464520,466523,468420,470248,471999,473774,475431,477042,478580,480091,481521,482916,484281,485490,486695,487809,489040,490135,491221,492244,493218,494258,495172,496088,496983,497904,498756,499579,500386,501132,501779,502528,503225,503874,504476,505133,505764,506349,506945,507446,507948,508447,508920,509395,509887,510317,510791,511201,511601,511999,512384,512771,513169,513568,513899,514211,514531,514846,515161,515470,515785,516105,516404,516662,516921,517173,
49400,132,1855,7500,17402,30929,46905,64106,81725,99202,116439,133192,149074,164206,178597,192067,204852,217006,228522,239328,249592,259126,268365,276921,285058,292716,299982,306954,313542,319772,325732,331319,336536,341595,346567,351233,355683,359821,363787,367658,371254,374744,378020,381226,384287,387316,390137,392901,395453,397902,400271,402546,404805,406913,408913,410836,412670,414437,416174,417847,419482,421002,422511,423988,425415,426831,428075,429299,430502,431661,432825,433909,434958,435981,436981,437946,438934,439840,440731,441560,442377,443186,443917,444677,445370,446091,446749,447379,447957,448608,449195,449811,450329,450843,451346,451864,452332,452856,453304,453756,454204,454637,455047,455479,455876,456257,456634,457011,457369,457729,458078,458373,458689,459007,459313,459614,459907,460231,460489,460733,
49410,36,773,3751,9786,18791,30238,43025,56544,70624,84838,98830,112101,124924,137476,149199,160557,171290,181602,191383,200790,209803,218095,225855,233292,240415,247284,253719,259969,265846,271408,276660,281662,286357,290938,295432,299537,303569,307234,310882,314337,317693,320863,323928,326813,329691,332398,334916,337384,339713,341963,344220,346405,348465,350449,352325,354215,355999,357716,359315,360878,362356,363813,365251,366635,367958,369294,370515,371689,372860,373988,375067,376057,377091,378029,378949,379813,380720,381519,382364,383122,383909,384680,385361,386096,386771,387472,388127,388807,389445,390064,390659,391193,391720,392222,392745,393231,393679,394145,394614,395022,395464,395881,396267,396659,397016,397353,397703,398053,398395,398717,399019,399329,399621,399919,400180,400441,400715,400980,401227,
49420,7,242,1532,4780,10115,17269,26055,35741,46148,56880,67686,78455,88947,99253,109022,118568,127775,136680,145061,153168,160949,168289,175286,181992,188365,194746,200639,206267,211592,216631,221501,226228,230696,234892,238990,242828,246671,250179,253568,256813,260047,263041,265838,268523,271224,273818,276199,278455,280737,282970,285046,287052,289038,290898,292770,294538,296270,297904,299515,300987,302458,303860,305228,306499,307837,309038,310227,311402,312506,313514,314572,315553,316575,317497,318417,319303,320112,320951,321720,322486,323218,323938,324670,325352,326042,326701,327320,327973,328549,329118,329670,330177,330680,331193,331692,332146,332616,333037,333470,333877,334274,334687,335042,335447,335815,336154,336522,336855,337187,337498,337794,338086,338436,338759,339050,339330,339583,339868,340123,
49430,2,94,664,2212,5144,9492,15210,21948,29546,37430,45495,53831,62105,70450,78547,86495,94147,101638,108931,115842,122330,128802,134989,140837,146554,151897,157144,162127,166922,171546,175989,180213,184261,188231,191898,195508,198994,202286,205330,208226,211072,213875,216513,219083,221605,223960,226280,228524,230675,232700,234652,236551,238340,240075,241852,243582,245164,246716,248244,249660,250994,252313,253650,254884,256062,257223,258335,259483,260529,261601,262587,263550,264480,265391,266219,267071,267868,268697,269474,270232,270955,271664,272326,272980,273630,274218,274803,275384,275965,276505,277012,277557,278054,278560,279015,279463,279933,280353,280786,281193,281583,281962,282375,282722,283048,283427,283804,284142,284436,284738,285058,285341,285616,285890,286182,286429,286685,286936,287187,
49440,0,11,167,729,2106,4363,7562,11598,16348,21534,27242,33099,39069,45111,51195,57135,63039,68894,74632,80153,85633,90966,96014,100928,105682,110245,114592,118952,123145,127211,131011,134675,138232,141613,144870,147999,151139,154037,156909,159651,162254,164655,167072,169350,171697,173805,175865,177832,179719,181645,183469,185147,186813,188416,189975,191478,192909,194300,195674,196970,198161,199397,200546,201695,202841,203870,204893,205924,206918,207823,208742,209631,210560,211430,212267,213039,213756,214514,215240,215956,216616,217278,217896,218504,219096,219663,220258,220822,221395,221945,222482,222989,223475,223946,224384,224835,225267,225705,226103,226550,226907,227289,227641,227982,228314,228629,228923,229273,229571,229857,230103,230410,230675,230931,231193,231447,231707,231945,232150,
49450,0,2,23,156,584,1464,2785,4654,6980,9729,13038,16617,20284,24137,28169,32267,36356,40420,44569,48646,52602,56548,60413,64192,67990,71546,74965,78388,81614,84746,87831,90771,93621,96310,99032,101703,104268,106633,109024,111263,113425,115559,117556,119493,121306,123200,125034,126725,128478,130086,131637,133142,134624,136059,137393,138702,140069,141293,142478,143616,144688,145769,146882,147897,148826,149833,150813,151731,152583,153429,154222,155025,155765,156503,157213,157899,158645,159322,159918,160538,161165,161795,162371,162922,163438,163972,164471,164988,165460,165924,166391,166848,167267,167702,168098,168538,168934,169310,169664,170036,170413,170742,171053,171413,171721,172038,172334,172636,172925,173222,173458,173723,173961,174213,174465,174686,174935,175152,175343,
49460,0,0,0,20,93,279,609,1175,1974,3020,4334,5828,7515,9307,11339,13496,15654,17915,20272,22681,25142,27587,29980,32389,34714,36982,39263,41483,43727,45819,47949,50082,52108,54211,56132,58056,59835,61651,63435,65122,66751,68367,69905,71432,72895,74292,75668,77084,78360,79677,80937,82116,83234,84340,85353,86416,87467,88448,89434,90357,91299,92191,93058,93949,94808,95633,96385,97087,97782,98475,99167,99842,100500,101150,101787,102375,102951,103531,104060,104609,105121,105613,106130,106626,107101,107541,107987,108432,108851,109247,109672,110083,110452,110794,111101,111438,111762,112077,112423,112741,113043,113324,113585,113868,114150,114431,114716,114983,115195,115453,115705,115944,116173,116395,116620,116839,117044,117214,117408,
494752,13272,80597,192068,318067,440864,552736,652088,738626,814558,880561,938370,988788,1033488,1072910,1107425,1138178,1165445,1190193,1212304,1232281,1250037,1266470,1281673,1295267,1307707,1319083,1329578,1339149,1348099,1356377,1363962,1371062,1377621,1383731,1389478,1394709,1399603,1404172,1408513,1412644,1416512,1420189,1423545,1426741,1429695,1432597,1435216,1437661,1440029,1442325,1444482,1446553,1448436,1450276,1452017,1453676,1455270,1456762,1458149,1459452,1460711,1461947,1463103,1464261,1465323,1466358,1467335,1468226,1469066,1469887,1470691,1471467,1472158,1472885,1473580,1474265,1474896,1475518,1476083,1476628,1477168,1477715,1478216,1478697,1479145,1479582,1480013,1480402,1480778,1481118,1481439,1481785,1482116,1482432,1482744,1483078,1483343,1483636,1483897,1484156,1484413,1484638,1484864,1485073,1485252,1485449,1485628,1485841,1486029,1486216,1486411,1486573,1486733,1486883,1487018,1487174,1487319,1487437,1487568,
49481,1435,17238,58999,120866,192751,266495,338074,405051,467310,524143,575318,621553,663184,700737,734425,765228,793233,818316,841413,862565,881412,898974,915164,929937,943778,956304,968060,978973,988883,998293,1006883,1014947,1022481,1029465,1035872,1041950,1047717,1053102,1058093,1062742,1067368,1071568,1075610,1079371,1082867,1086301,1089511,1092507,1095288,1098004,1100536,1102904,1105298,1107495,1109522,1111537,1113443,1115251,1116990,1118636,1120190,1121692,1123124,1124414,1125670,1126924,1128102,1129267,1130323,1131313,1132313,1133237,1134209,1135097,1135932,1136710,1137445,1138166,1138860,1139573,1140235,1140828,1141396,1141985,1142501,1143049,1143572,1144050,1144555,1145032,1145459,1145896,1146283,1146697,1147075,1147407,1147788,1148110,1148437,1148734,1149056,1149369,1149624,1149875,1150155,1150396,1150616,1150845,1151051,1151276,1151511,1151710,1151916,1152120,1152299,1152460,1152622,1152787,1152961,
49490,335,6334,27149,63510,111018,164241,218857,272320,323547,371395,415938,456993,494624,528840,560121,589148,615647,639804,661999,682424,701323,718753,734693,749547,763388,776058,787832,798689,808711,818199,827124,835351,842985,850190,856757,863062,868918,874536,879676,884696,889327,893724,897790,901642,905318,908768,912129,915337,918360,921185,923879,926414,928848,931164,933311,935360,937233,939132,940959,942739,944353,945916,947460,948948,950301,951560,952805,953947,955088,956208,957269,958303,959323,960234,961115,962037,962845,963639,964415,965143,965868,966604,967218,967864,968438,968995,969544,970064,970604,971072,971502,971919,972318,972735,973137,973558,973940,974273,974623,974980,975296,975612,975926,976236,976530,976800,977078,977318,977560,977804,978073,978305,978510,978720,978918,979107,979326,979535,979707,
49500,48,1932,10599,29164,57186,91636,129582,168984,208260,246026,282052,316135,347970,378159,405924,431297,455043,477023,497432,515920,533372,549630,564654,578646,591735,603759,614918,625364,635188,644371,653041,661097,668652,675826,682537,688780,694711,700299,705574,710501,715207,719541,723762,727771,731601,735105,738533,741707,744798,747718,750514,753186,755658,758104,760385,762545,764613,766595,768435,770267,771900,773521,775142,776596,778001,779351,780596,781835,783012,784193,785294,786339,787374,788342,789235,790127,790965,791806,792602,793368,794122,794830,795532,796162,796790,797355,797988,798528,799084,799618,800159,800629,801101,801524,801956,802355,802737,803132,803495,803877,804239,804569,804892,805188,805441,805722,806024,806302,806545,806785,807004,807228,807455,807660,807862,808062,808241,808421,808603,
49510,7,429,3304,11233,25167,44402,67481,93067,120147,147367,174057,200389,225616,249732,272444,293797,313852,332748,350232,366512,381839,396438,409989,422680,434538,445568,455928,465704,475170,483684,491951,499507,506818,513728,520217,526245,531915,537335,542463,547287,551900,556201,560306,564126,567845,571450,574760,577959,580953,583785,586467,589041,591464,593827,596032,598156,600258,602187,604016,605828,607534,609198,610755,612168,613608,614999,616308,617594,618798,619907,620969,622046,623069,624026,624966,625888,626773,627626,628447,629246,629972,630695,631389,632065,632760,633386,634006,634548,635171,635754,636263,636748,637251,637698,638182,638624,639038,639468,639877,640254,640621,640975,641287,641604,641941,642233,642503,642763,643022,643263,643508,643722,643950,644163,644401,644643,644833,645029,645221,
49520,6,176,1647,6474,15556,28995,46026,65651,87044,109246,131334,153331,174714,195479,215396,234158,252063,268950,285159,300125,314331,327909,340442,352137,363420,373934,383630,392982,401781,409867,417629,425036,431881,438493,444612,450409,455961,461074,465981,470702,475144,479430,483462,487213,490881,494265,497497,500635,503557,506344,509091,511607,514086,516400,518603,520699,522681,524565,526459,528228,529939,531551,533158,534653,536030,537394,538679,539903,541028,542189,543325,544345,545346,546347,547284,548196,549077,549918,550739,551501,552257,553003,553675,554387,555015,555637,556269,556869,557417,557983,558549,559109,559588,560041,560434,560836,561232,561630,562022,562388,562734,563076,563412,563715,564031,564332,564649,564940,565191,565491,565765,566003,566231,566475,566692,566904,567093,567281,567478,
49530,0,69,786,3326,8718,17533,29372,43707,59742,76893,94735,112898,130962,148292,165452,181721,197296,212321,226487,239809,252550,264683,276234,287166,297309,307110,316132,324630,332638,340309,347641,354460,360973,367032,372762,378352,383613,388543,393241,397696,401810,405942,409787,413459,416925,420142,423316,426350,429154,431900,434491,436987,439410,441666,443792,445892,447854,449767,451671,453382,455085,456656,458082,459487,460911,462276,463572,464755,465853,466957,468001,469055,470019,470984,471848,472702,473581,474409,475182,475954,476653,477362,478031,478703,479373,479997,480537,481105,481679,482261,482797,483303,483763,484203,484663,485066,485497,485889,486262,486628,487004,487317,487655,487995,488286,488555,488837,489121,489353,489602,489832,490074,490323,490569,490792,490996,491188,491388,491587,
49540,0,20,296,1594,4777,10249,18050,27982,39666,52641,66206,80475,94722,108956,122748,136690,149688,162283,174541,186350,197286,207962,217938,227720,236763,245361,253662,261341,268920,276028,282698,288921,294983,300614,305965,311100,315855,320539,324911,329123,333096,336771,340339,343740,347002,350152,353130,355954,358639,361208,363671,366040,368341,370401,372418,374426,376345,378102,379818,381472,383124,384640,386105,387472,388842,390089,391270,392468,393601,394663,395752,396734,397748,398664,399521,400450,401317,402080,402869,403595,404310,405080,405766,406379,407022,407628,408227,408802,409382,409876,410392,410888,411373,411819,412244,412653,413063,413451,413846,414235,414580,414893,415226,415579,415881,416174,416473,416774,417055,417300,417559,417790,418006,418217,418427,418635,418830,419002,419194,
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49700,170,3101,13287,31495,56200,84914,114983,144972,174634,202966,229885,255307,278658,300602,321053,340162,357678,373882,389066,403157,416305,428517,439899,450579,460527,469721,478409,486682,494457,501691,508486,514699,520622,526194,531522,536551,541309,545789,550085,554021,557890,561318,564743,567979,571111,574034,576871,579563,582017,584371,586624,588794,590939,592879,594750,596564,598288,599888,601458,603054,604490,605873,607171,608477,609649,610844,611921,612923,613928,614850,615773,616697,617537,618353,619143,619931,620711,621443,622130,622789,623439,624091,624700,625289,625825,626381,626889,627349,627818,628315,628748,629165,629563,629916,630288,630622,630970,631317,631624,631978,632290,632586,632846,633124,633404,633649,633892,634113,634335,634566,634786,634985,635187,635369,635539,635715,635877,636073,636252,
49710,56,1408,7194,19096,36623,57913,81876,106349,130882,155362,178406,200328,221138,240683,259125,276335,292515,307697,321448,334814,347098,358718,369326,379326,388937,397726,405901,413747,421074,427972,434483,440640,446514,451900,457099,461992,466573,470846,474988,478839,482591,486103,489389,492620,495629,498539,501249,503821,506416,508731,510899,513024,515042,516938,518780,520500,522143,523759,525343,526866,528331,529717,531046,532301,533477,534584,535717,536751,537818,538788,539724,540628,541515,542367,543174,543965,544722,545385,546106,546720,547365,547971,548559,549107,549639,550154,550659,551136,551594,552059,552481,552927,553341,553723,554115,554471,554807,555153,555473,555804,556124,556454,556729,556993,557250,557486,557732,557950,558191,558407,558629,558854,559074,559291,559490,559672,559854,560044,560214,
49720,15,577,3647,10949,22415,37530,55064,73948,93463,113142,132302,150950,168614,185483,201648,216923,231277,244793,257612,269862,281118,291692,301662,311055,319765,328056,335786,343100,350037,356613,362685,368574,374090,379265,384369,388872,393293,397416,401322,405052,408637,412098,415290,418346,421322,424063,426687,429190,431625,433922,436087,438172,440236,442144,443934,445649,447327,448900,450434,451781,453145,454517,455800,457051,458261,459384,460474,461531,462531,463576,464534,465401,466233,467060,467824,468626,469349,470050,470745,471385,472038,472654,473240,473808,474370,474874,475370,475872,476343,476792,477255,477675,478069,478458,478851,479217,479560,479928,480243,480577,480869,481172,481450,481736,482002,482282,482540,482811,483057,483271,483501,483708,483922,484093,484273,484458,484638,484832,484986,
49730,2,203,1494,5307,12109,21884,34021,47621,62195,77303,92628,107628,122524,136467,149886,162802,175089,186969,198215,208832,218784,228173,237124,245504,253385,260856,267862,274607,281031,287212,293001,298510,303606,308435,313154,317491,321618,325599,329332,332823,336196,339363,342392,345257,348033,350685,353191,355627,357923,360188,362340,364374,366333,368240,369946,371676,373323,374816,376355,377805,379205,380442,381639,382860,383981,385098,386191,387176,388148,389105,390012,390898,391723,392498,393317,394058,394739,395432,396107,396740,397373,397986,398576,399150,399693,400205,400722,401168,401643,402115,402566,403016,403435,403844,404217,404574,404928,405263,405596,405897,406207,406524,406773,407067,407305,407559,407845,408085,408324,408566,408793,409015,409244,409430,409595,409773,409968,410150,410339,
49740,2,105,877,3407,8118,15163,24269,35329,47160,59713,72316,85239,98046,110271,122264,133867,144988,155754,165891,175525,184593,193359,201485,209300,216681,223785,230516,236787,242857,248492,253996,259129,263979,268530,272896,277032,281060,284773,288389,291731,294886,298103,301074,303904,306607,309160,311568,313917,316117,318200,320163,322142,324013,325764,327434,329068,330558,332078,333563,334931,336234,337521,338781,339925,341054,342149,343220,344274,345250,346159,347012,347851,348703,349468,350231,350952,351686,352343,353003,353630,354208,354788,355342,355883,356401,356915,357382,357818,358291,358739,359116,359545,359964,360354,360716,361069,361400,361756,362103,362403,362710,362996,363270,363554,363810,364085,364338,364562,364805,365031,365250,365441,365668,365877,366070,366264,366454,366591,366729,
49750,1,42,449,1946,5100,10003,16823,24894,34169,44146,54634,65208,75922,86585,97178,107211,116909,126364,135501,144180,152505,160402,168000,175141,182098,188622,194867,200640,206192,211574,216577,221302,225815,230121,234065,237975,241608,245123,248505,251702,254712,257688,260463,263115,265574,268014,270334,272601,274713,276806,278704,280544,282380,284147,285795,287328,288757,290252,291673,293020,294278,295521,296701,297832,298872,299980,300971,301883,302806,303670,304543,305404,306167,306932,307627,308333,309005,309640,310331,310921,311468,312024,312596,313133,313651,314112,314584,314998,315459,315910,316304,316689,317088,317483,317860,318218,318556,318885,319175,319486,319815,320116,320392,320623,320873,321125,321373,321598,321814,322038,322271,322491,322684,322867,323093,323265,323418,323594,323744,
49760,0,13,199,984,2906,6132,10816,16518,23428,31141,39405,48052,56801,65463,74040,82368,90651,98815,106579,114242,121391,128228,134970,141419,147501,153347,158827,164184,169281,174225,178733,183221,187407,191439,195234,198949,202356,205801,208959,211994,214892,217591,220214,222752,225166,227512,229682,231773,233799,235772,237584,239261,240845,242461,244047,245486,246937,248344,249640,250833,251995,253159,254239,255290,256383,257399,258374,259321,260243,261060,261887,262646,263398,264096,264767,265417,266059,266706,267316,267895,268462,269025,269549,270057,270568,271007,271464,271922,272369,272798,273200,273579,273935,274293,274621,274954,275253,275583,275929,276215,276518,276774,277077,277325,277557,277820,278058,278299,278520,278717,278918,279103,279286,279486,279659,279824,279993,280148,280299,
49770,1,5,67,432,1421,3300,6194,10294,15125,20751,26896,33498,40223,47129,54099,60899,67559,74390,80872,87361,93453,99347,105102,110715,115968,121161,126015,130781,135320,139564,143619,147515,151272,154742,158128,161383,164608,167686,170545,173304,175994,178463,180907,183242,185465,187628,189658,191616,193495,195295,197015,198707,200303,201892,203401,204859,206152,207463,208718,209928,211076,212145,213257,214326,215312,216217,217179,218063,218890,219722,220470,221250,221967,222604,223227,223858,224457,225062,225619,226193,226698,227239,227748,228258,228723,229180,229636,230024,230440,230831,231194,231519,231877,232221,232562,232894,233252,233544,233857,234141,234432,234703,234959,235238,235463,235679,235898,236148,236391,236616,236818,237016,237196,237373,237550,237703,237852,238009,238169,
49780,0,2,28,175,672,1694,3382,5740,8768,12443,16678,21338,26285,31353,36657,42020,47259,52492,57694,62893,67830,72729,77431,81968,86443,90776,94902,98987,102967,106682,110223,113570,116849,120048,123079,125943,128674,131333,133875,136340,138702,141000,143207,145232,147215,149102,150854,152571,154259,155873,157414,158907,160336,161799,163129,164426,165693,166891,168076,169208,170224,171265,172213,173163,174071,174939,175793,176601,177387,178147,178861,179575,180251,180913,181591,182188,182777,183332,183922,184410,184905,185368,185870,186312,186733,187136,187564,187973,188321,188699,189087,189439,189785,190137,190419,190715,191008,191300,191577,191839,192090,192337,192571,192799,193018,193245,193459,193651,193858,194062,194236,194402,194573,194734,194898,195063,195216,195369,195515,
49790,0,0,6,82,289,776,1704,3105,5017,7435,10293,13559,17072,20870,24722,28719,32783,36872,40882,44982,48946,52957,56790,60569,64386,67884,71479,74918,78212,81395,84539,87462,90309,93127,95880,98355,100764,103162,105357,107542,109640,111697,113646,115511,117303,118995,120596,122230,123774,125233,126721,128102,129429,130704,131957,133137,134253,135340,136360,137396,138338,139283,140181,141001,141859,142641,143395,144132,144921,145618,146283,146976,147528,148122,148738,149324,149911,150424,150936,151412,151921,152370,152808,153229,153659,154056,154442,154790,155169,155482,155810,156138,156439,156728,157036,157321,157614,157872,158122,158382,158612,158871,159102,159350,159559,159778,160002,160205,160407,160587,160764,160934,161106,161291,161445,161593,161742,161880,162013,
49800,0,0,2,18,90,279,732,1412,2432,3767,5443,7447,9693,12252,14850,17536,20451,23419,26482,29560,32620,35632,38724,41632,44552,47333,50055,52781,55468,58076,60572,62932,65294,67612,69832,71966,74006,76055,77877,79696,81567,83340,84992,86567,88075,89549,91018,92409,93695,94938,96212,97352,98527,99610,100647,101710,102718,103640,104574,105422,106303,107146,107950,108755,109484,110205,110927,111548,112202,112828,113404,113998,114542,115085,115635,116167,116671,117122,117608,118066,118482,118869,119236,119617,120006,120358,120736,121062,121418,121772,122099,122422,122700,122977,123257,123554,123791,124025,124259,124488,124720,124944,125143,125349,125542,125711,125924,126084,126237,126426,126569,126721,126867,127027,127191,127326,127478,127611,127750,
49810,0,0,0,3,21,86,222,484,944,1544,2372,3435,4717,6098,7726,9408,11242,13193,15136,17127,19195,21281,23315,25479,27518,29592,31637,33515,35454,37418,39327,41147,42975,44815,46504,48122,49752,51370,52864,54336,55814,57161,58574,59888,61064,62299,63457,64594,65704,66806,67877,68796,69747,70686,71553,72421,73257,74072,74836,75600,76328,77020,77759,78420,79056,79630,80271,80881,81440,81983,82506,83021,83488,83999,84483,84927,85374,85773,86161,86559,86928,87289,87633,87983,88306,88592,88895,89177,89431,89728,90006,90297,90551,90794,91028,91250,91490,91694,91915,92110,92285,92466,92670,92847,93012,93188,93347,93500,93674,93840,93972,94113,94244,94366,94482,94590,94709,94837,94957,
49820,0,0,0,0,2,10,41,99,220,402,665,1082,1597,2163,2886,3639,4482,5401,6357,7396,8486,9666,10895,12138,13374,14656,15888,17122,18350,19535,20781,21974,23180,24367,25543,26695,27806,28916,29984,31015,32000,33032,34016,34951,35863,36752,37574,38379,39242,40031,40819,41520,42178,42851,43506,44155,44766,45364,45979,46557,47120,47676,48188,48714,49207,49692,50181,50625,51063,51475,51876,52278,52653,53014,53413,53773,54112,54429,54718,55044,55348,55637,55911,56189,56442,56689,56941,57162,57407,57621,57864,58078,58294,58500,58695,58871,59055,59227,59389,59544,59680,59831,59985,60134,60264,60402,60535,60648,60764,60896,61013,61126,61249,61360,61458,61564,61665,61768,61846,
49837952,116316,282520,436997,565987,671184,757595,828962,888608,939064,982102,1019470,1051591,1079422,1103913,1125852,1145341,1162751,1178540,1192626,1205584,1217262,1228054,1237801,1246789,1254980,1262501,1269510,1275973,1282115,1287801,1293018,1297900,1302355,1306511,1310485,1314236,1317728,1321004,1324035,1326925,1329609,1332177,1334599,1336886,1339075,1341103,1343017,1344862,1346616,1348271,1349825,1351396,1352833,1354168,1355412,1356686,1357813,1358905,1359975,1360972,1361936,1362883,1363817,1364622,1365406,1366165,1366882,1367649,1368323,1368980,1369619,1370203,1370814,1371321,1371861,1372374,1372905,1373382,1373837,1374281,1374716,1375146,1375493,1375839,1376211,1376520,1376864,1377185,1377508,1377776,1378047,1378330,1378616,1378856,1379098,1379324,1379549,1379759,1379984,1380178,1380384,1380560,1380754,1380946,1381109,1381261,1381439,1381599,1381769,1381910,1382053,1382209,1382338,1382468,1382594,1382721,1382842,1382961,1383058,
49841066,40487,133759,241108,343118,432612,509823,576534,633720,682859,725637,762830,795864,825210,851091,874347,895199,913776,930909,946210,960012,972721,984279,994822,1004657,1013726,1021983,1029645,1036948,1043609,1049811,1055689,1061209,1066345,1071100,1075608,1079770,1083619,1087294,1090777,1094076,1097139,1100141,1102920,1105477,1107972,1110324,1112551,1114614,1116617,1118636,1120434,1122116,1123782,1125277,1126778,1128242,1129594,1130890,1132139,1133291,1134386,1135492,1136488,1137484,1138434,1139347,1140134,1140953,1141796,1142499,1143241,1143990,1144641,1145261,1145897,1146462,1147050,1147606,1148165,1148691,1149185,1149668,1150077,1150510,1150919,1151326,1151723,1152106,1152474,1152844,1153181,1153530,1153829,1154113,1154414,1154665,1154957,1155234,1155503,1155725,1155959,1156177,1156417,1156612,1156803,1156993,1157181,1157374,1157532,1157718,1157907,1158066,1158232,1158397,1158519,1158658,1158789,1158916,1159061,
4985282,19636,80112,160890,243791,320032,389161,449935,503349,550274,591322,627759,660205,688813,714500,737995,758610,777388,794600,809949,824008,836943,848850,859938,870031,879329,887924,895946,903424,910489,917021,923049,928604,933978,938902,943530,947899,951982,955862,959510,963044,966278,969336,972324,975161,977775,980211,982576,984782,986925,988938,990968,992853,994594,996255,997816,999307,1000726,1002126,1003403,1004666,1005861,1006994,1008091,1009090,1010076,1010987,1011850,1012763,1013633,1014400,1015173,1015922,1016610,1017328,1017975,1018588,1019213,1019844,1020363,1020912,1021448,1021927,1022420,1022907,1023352,1023799,1024224,1024617,1025018,1025377,1025702,1026054,1026406,1026723,1027025,1027318,1027561,1027868,1028131,1028406,1028673,1028912,1029149,1029386,1029634,1029856,1030039,1030223,1030405,1030580,1030750,1030892,1031070,1031257,1031423,1031565,1031713,1031847,1031989,
498643,7865,41959,96525,157841,219667,277891,330988,378654,421374,459522,493554,524157,551550,576352,598905,619322,637627,654452,669793,684149,697079,709024,720242,730486,739791,748469,756767,764256,771431,778005,784282,790053,795450,800634,805413,809840,814193,818297,821992,825604,828891,832129,835162,838130,840783,843307,845810,848074,850329,852495,854469,856412,858219,859930,861583,863177,864678,866106,867528,868817,870008,871219,872334,873446,874517,875523,876458,877373,878236,879129,879950,880798,881571,882322,882982,883657,884264,884915,885518,886071,886648,887172,887728,888213,888658,889108,889512,889920,890335,890739,891096,891445,891771,892123,892437,892706,893016,893294,893568,893859,894103,894344,894562,894801,895029,895233,895438,895652,895827,896027,896201,896396,896580,896743,896891,897046,897200,897358,897500,
49877,2373,18170,49558,90800,135253,179926,222585,262263,298912,332036,362259,389904,415048,438149,459139,478490,496212,512445,527284,540960,553526,565181,576065,586101,595521,604173,612333,619912,626997,633549,639759,645627,651154,656348,661222,665939,670323,674356,678180,681707,685091,688284,691240,694210,697030,699657,702110,704445,706650,708891,710900,712815,714720,716596,718283,719845,721389,722864,724261,725624,726869,728080,729317,730463,731527,732591,733610,734571,735467,736344,737183,737990,738806,739601,740324,741030,741708,742382,742963,743564,744112,744680,745196,745687,746150,746657,747111,747567,747988,748429,748836,749222,749584,749935,750301,750631,750923,751262,751566,751866,752131,752402,752662,752901,753119,753317,753523,753736,753932,754155,754345,754530,754709,754895,755045,755209,755385,755550,755689,
49880,1120,10875,32848,64124,99884,137285,173845,208774,241867,271918,299963,325204,348932,370683,390676,408928,425912,441532,455927,469280,481536,492786,503453,513368,522428,530880,538770,546159,553145,559755,565857,571634,577000,582212,587088,591572,595977,599910,603688,607345,610795,613988,617084,619976,622807,625383,627856,630275,632548,634750,636888,638845,640671,642462,644152,645677,647193,648711,650085,651535,652853,654125,655305,656410,657507,658552,659555,660502,661407,662318,663173,663985,664777,665521,666264,666959,667656,668318,668950,669552,670139,670687,671236,671746,672247,672711,673175,673634,674100,674506,674932,675295,675660,676022,676368,676682,676986,677282,677582,677887,678187,678442,678721,678961,679195,679427,679622,679839,680083,680284,680482,680663,680857,681031,681226,681387,681567,681734,681874,
49890,464,5775,20393,43104,70578,100598,131063,161099,189718,216499,241497,264747,286380,306590,324975,342009,357842,372411,386018,398688,410338,421305,431528,441145,450111,458276,466100,473238,479984,486453,492340,497816,503082,508107,512872,517319,521610,525484,529269,532860,536250,539386,542425,545435,548237,550883,553364,555775,558017,560195,562287,564122,565963,567771,569467,571144,572693,574151,575529,576869,578177,579443,580559,581698,582801,583875,584872,585828,586753,587665,588507,589331,590139,590904,591646,592375,593058,593653,594290,594928,595531,596045,596571,597124,597637,598141,598600,599018,599446,599830,600227,600616,600989,601321,601673,602021,602376,602700,602976,603279,603579,603846,604105,604333,604595,604841,605041,605249,605453,605670,605879,606063,606262,606452,606614,606795,606947,607096,607257,
49900,182,2859,11620,26616,46734,69812,94228,118642,142600,165546,187251,207863,226917,244751,261595,277474,292006,305358,317640,329448,340510,350761,360452,369564,377933,385799,393098,400122,406762,412883,418751,424243,429365,434186,438755,443003,447152,451088,454731,458188,461548,464823,467817,470693,473407,475897,478295,480599,482873,484982,486929,488789,490631,492345,493977,495552,497066,498634,500017,501362,502664,503859,505041,506143,507208,508284,509217,510161,511076,511918,512806,513695,514456,515159,515852,516565,517258,517865,518441,519060,519643,520243,520779,521326,521809,522251,522760,523270,523723,524146,524567,524928,525322,525688,526054,526407,526748,527089,527411,527726,528010,528275,528558,528825,529050,529302,529526,529760,529965,530177,530389,530584,530791,530987,531169,531349,531509,531669,531793,
49910,59,1161,5671,14902,28068,44135,62245,81112,100123,118718,136728,153997,170345,185877,200550,214262,227321,239518,250929,261727,271763,281278,290253,298605,306323,313743,320908,327498,333814,339703,345234,350410,355392,360090,364542,368689,372610,376296,379664,383049,386259,389236,392102,394902,397515,399972,402411,404742,406845,408882,410809,412674,414447,416112,417717,419307,420775,422312,423643,424961,426202,427414,428520,429613,430671,431750,432725,433702,434596,435490,436384,437193,437931,438669,439396,440091,440785,441417,442055,442644,443180,443794,444352,444885,445389,445896,446403,446873,447308,447769,448151,448544,448896,449272,449606,449961,450300,450641,450951,451219,451495,451820,452085,452326,452579,452812,453038,453292,453511,453709,453924,454095,454281,454488,454658,454829,454989,455143,455295,
49920,21,641,3472,9691,19526,32186,46577,62232,78617,94718,110329,125511,140158,154000,167314,179898,191742,202854,213501,223495,233139,241815,250150,258020,265349,272392,279006,285118,291110,296721,301931,306984,311626,316076,320248,324255,328045,331660,335050,338413,341641,344556,347360,350097,352629,355093,357374,359539,361625,363720,365699,367551,369236,370902,372499,373992,375468,376891,378202,379540,380785,382040,383166,384243,385306,386333,387334,388301,389231,390113,390913,391652,392392,393102,393789,394483,395177,395811,396426,397030,397606,398162,398673,399187,399671,400120,400618,401052,401464,401875,402285,402651,403017,403392,403739,404063,404397,404698,405004,405276,405552,405835,406093,406350,406606,406857,407087,407338,407559,407741,407927,408113,408310,408490,408661,408814,408985,409163,409319,
49930,6,290,1946,5986,12868,22119,33608,46190,59246,72693,86113,99348,112128,124374,136155,147358,158114,168196,177848,186963,195617,203767,211526,218900,225642,232264,238475,244304,249777,255125,260035,264620,269195,273331,277497,281258,284852,288168,291430,294524,297495,300323,303021,305638,307971,310277,312517,314688,316657,318604,320464,322256,324034,325674,327270,328756,330173,331563,332875,334054,335284,336444,337596,338674,339658,340653,341650,342636,343493,344324,345114,345871,346675,347415,348095,348748,349403,350017,350609,351127,351665,352207,352722,353218,353720,354186,354640,355069,355518,355968,356353,356740,357081,357450,357828,358196,358494,358775,359085,359357,359630,359922,360202,360442,360709,360950,361179,361390,361600,361796,362012,362164,362365,362552,362720,362881,363034,363197,363343,
49940,1,132,968,3398,7935,14388,22484,31878,42173,52807,63901,74762,85446,96085,106180,116149,125589,134565,143078,151363,159094,166524,173496,180186,186592,192541,198205,203589,208671,213566,218132,222500,226727,230732,234589,238164,241644,244896,247982,250930,253668,256377,258890,261368,263753,266042,268167,270135,272069,273920,275760,277453,279117,280609,282167,283641,285078,286416,287749,288899,290044,291159,292221,293230,294176,295123,296027,296912,297761,298569,299347,300074,300788,301535,302212,302869,303418,304032,304638,305184,305732,306226,306741,307236,307705,308151,308602,309017,309447,309852,310215,310565,310924,311296,311618,311935,312250,312528,312813,313096,313384,313683,313925,314163,314404,314614,314861,315077,315286,315484,315673,315864,316070,316244,316406,316562,316715,316863,317007,
49950,0,41,404,1764,4428,8699,14343,21168,28879,37085,45519,54287,63014,71796,80314,88528,96535,104239,111524,118632,125462,131933,138312,144318,149822,155266,160303,165089,169659,174152,178381,182319,186110,189925,193414,196745,199968,202919,205730,208476,211061,213506,215856,218116,220337,222475,224504,226444,228297,230072,231822,233376,234919,236429,237885,239217,240499,241801,243053,244225,245325,246335,247313,248305,249221,250099,250983,251821,252574,253375,254135,254850,255511,256200,256820,257467,258021,258641,259171,259696,260221,260693,261183,261662,262088,262520,262948,263388,263788,264179,264541,264901,265238,265590,265894,266207,266506,266787,267071,267344,267595,267848,268099,268354,268573,268800,269012,269209,269421,269615,269798,269967,270136,270295,270482,270649,270799,270945,271085,
49960,0,16,154,759,2122,4550,8020,12451,17641,23479,29807,36271,42852,49464,56071,62548,68988,75275,81606,87514,93284,98818,104067,109226,114346,118940,123520,127781,131952,135840,139645,143203,146599,149827,153017,155954,158768,161520,164078,166502,168920,171148,173320,175375,177397,179320,181176,182913,184598,186241,187791,189291,190686,192095,193389,194685,195853,197071,198211,199327,200319,201323,202341,203280,204201,205054,205874,206646,207394,208163,208875,209576,210227,210860,211492,212065,212657,213205,213741,214259,214761,215273,215746,216204,216630,217051,217413,217788,218167,218535,218860,219215,219537,219825,220128,220394,220658,220961,221248,221512,221762,221989,222202,222431,222616,222858,223087,223308,223508,223693,223866,224044,224230,224402,224551,224723,224857,225004,225159,
49970,0,9,56,291,1030,2346,4432,7236,10684,14714,19165,23926,29027,34212,39375,44584,49680,54697,59732,64673,69423,74070,78442,82693,86933,90962,94826,98452,101962,105498,108848,111981,115004,117880,120750,123416,126042,128429,130782,133042,135266,137332,139330,141277,143103,144846,146591,148135,149604,151038,152495,153893,155196,156506,157690,158861,159983,161047,162124,163149,164084,164989,165812,166627,167449,168269,169018,169743,170474,171153,171807,172474,173105,173684,174267,174817,175373,175863,176354,176838,177329,177761,178194,178619,179053,179459,179831,180179,180514,180893,181199,181493,181770,182088,182395,182674,182927,183201,183459,183708,183953,184166,184402,184606,184797,185003,185211,185401,185587,185785,185952,186113,186282,186449,186599,186742,186894,187029,187181,
49980,0,0,17,102,407,1046,2075,3578,5602,8071,10931,14060,17386,21049,24701,28498,32367,36188,40034,43730,47405,51082,54680,58207,61526,64916,68068,71080,74079,76977,79751,82446,85032,87568,90008,92311,94524,96642,98636,100595,102509,104295,106077,107748,109337,110879,112358,113797,115157,116520,117761,118943,120111,121257,122406,123428,124414,125386,126301,127208,128096,128986,129799,130570,131297,131996,132687,133360,133979,134597,135184,135806,136370,136891,137424,137966,138438,138911,139352,139825,140245,140631,141040,141440,141830,142211,142588,142920,143244,143567,143890,144212,144484,144722,144983,145236,145499,145755,145971,146217,146451,146674,146875,147083,147291,147471,147648,147820,147990,148168,148342,148502,148655,148795,148930,149088,149213,149362,149500,
49990,0,1,3,27,103,300,709,1391,2351,3583,5067,6823,8736,10875,13115,15520,18091,20742,23360,25931,28526,31096,33620,36148,38643,41068,43416,45751,48011,50259,52522,54615,56683,58597,60569,62422,64131,65886,67463,69054,70594,71989,73397,74779,76160,77366,78577,79701,80850,81937,83001,84024,85013,86005,86928,87824,88667,89482,90315,91104,91882,92568,93297,94001,94651,95305,95982,96591,97149,97674,98190,98708,99175,99691,100157,100588,101029,101425,101817,102213,102568,102968,103289,103636,103983,104315,104686,105006,105262,105549,105831,106128,106393,106637,106899,107143,107346,107569,107770,107974,108190,108390,108593,108771,108948,109128,109307,109466,109637,109776,109897,110019,110131,110261,110362,110483,110602,110739,110845,
50000,0,0,0,5,14,39,120,299,572,984,1571,2267,3150,4129,5241,6459,7824,9182,10614,12112,13527,15065,16596,18160,19641,21227,22721,24236,25773,27233,28623,30030,31376,32695,33972,35289,36542,37731,38878,39979,41140,42237,43275,44314,45286,46283,47259,48163,48963,49788,50610,51343,52132,52855,53577,54292,54965,55620,56257,56859,57443,58028,58577,59135,59617,60124,60637,61068,61513,61945,62382,62815,63203,63599,64004,64355,64722,65068,65399,65700,66017,66327,66622,66919,67195,67481,67737,68010,68229,68477,68699,68918,69130,69333,69535,69731,69911,70120,70301,70453,70615,70765,70934,71075,71218,71344,71470,71623,71756,71901,72013,72126,72246,72369,72478,72563,72664,72772,72860,
500118108,165963,347496,500675,622312,720177,798578,862787,916205,961513,999661,1032803,1061249,1086228,1108308,1127777,1145524,1161436,1175521,1188143,1199692,1210076,1219737,1228466,1236460,1243947,1250806,1257185,1263090,1268612,1273704,1278468,1282899,1286991,1290856,1294530,1298022,1301256,1304243,1306971,1309609,1312043,1314409,1316620,1318801,1320796,1322712,1324474,1326126,1327717,1329287,1330685,1332095,1333449,1334672,1335927,1337089,1338215,1339259,1340225,1341145,1342096,1342936,1343755,1344560,1345340,1346075,1346703,1347388,1348075,1348690,1349279,1349822,1350365,1350939,1351455,1351925,1352395,1352875,1353316,1353731,1354148,1354539,1354895,1355247,1355591,1355938,1356266,1356545,1356817,1357107,1357385,1357628,1357909,1358168,1358396,1358607,1358806,1359036,1359228,1359439,1359622,1359798,1359980,1360138,1360294,1360450,1360597,1360733,1360874,1361038,1361168,1361288,1361401,1361505,1361637,1361753,1361867,1361988,1362093,
50023870,70345,187247,305110,408264,496173,569817,631944,685014,730494,769813,804169,834105,860486,883848,904681,923154,939883,955104,968751,981401,992871,1003569,1013014,1021860,1030021,1037518,1044455,1050860,1056853,1062573,1067801,1072708,1077384,1081633,1085717,1089565,1093199,1096529,1099753,1102760,1105614,1108322,1110835,1113224,1115459,1117650,1119688,1121634,1123428,1125260,1126909,1128487,1129967,1131420,1132761,1134031,1135260,1136432,1137577,1138661,1139683,1140671,1141562,1142412,1143241,1144075,1144851,1145595,1146343,1147074,1147801,1148438,1149046,1149646,1150247,1150771,1151306,1151826,1152315,1152763,1153220,1153669,1154063,1154457,1154857,1155224,1155593,1155949,1156252,1156578,1156866,1157172,1157469,1157757,1158019,1158282,1158534,1158777,1159018,1159250,1159475,1159679,1159871,1160046,1160260,1160451,1160616,1160778,1160938,1161105,1161284,1161422,1161572,1161713,1161842,1161954,1162076,1162201,1162331,
50031245,38906,122331,217098,305594,384540,452859,511281,561872,605643,644062,677392,707238,733452,757117,778092,796800,813869,829417,843377,856322,867927,878748,888670,897741,906301,914172,921411,928250,934660,940423,945892,950984,955921,960319,964508,968530,972128,975697,979058,982245,985212,987943,990558,993055,995432,997689,999910,1002012,1003957,1005825,1007570,1009292,1010866,1012386,1013826,1015169,1016431,1017710,1018943,1020029,1021152,1022231,1023238,1024184,1025113,1025976,1026783,1027584,1028423,1029183,1029915,1030597,1031269,1031921,1032522,1033086,1033662,1034203,1034709,1035193,1035697,1036130,1036581,1037030,1037447,1037859,1038263,1038616,1038979,1039310,1039644,1039969,1040256,1040549,1040808,1041107,1041363,1041630,1041873,1042096,1042318,1042515,1042730,1042928,1043165,1043336,1043521,1043699,1043853,1044009,1044182,1044326,1044489,1044648,1044792,1044934,1045075,1045223,1045336,
5004321,18281,71326,141482,212746,279321,339287,392176,438721,479639,516070,548287,576960,602496,625742,646807,665694,682655,698265,712434,725384,737236,748330,758441,767791,776498,784640,792189,799026,805538,811586,817277,822613,827605,832313,836737,840840,844801,848431,851733,855022,858166,861122,863800,866401,868929,871334,873612,875781,877841,879832,881607,883296,884896,886451,887927,889381,890792,892151,893352,894543,895725,896824,897841,898868,899847,900756,901628,902483,903295,904086,904815,905542,906215,906866,907554,908167,908738,909307,909862,910359,910892,911373,911866,912309,912749,913145,913542,913929,914294,914646,914994,915315,915647,915967,916268,916600,916848,917149,917399,917656,917920,918173,918389,918585,918770,918992,919196,919398,919558,919751,919935,920110,920256,920419,920599,920733,920889,921034,921172,
500566,6755,35269,80117,132569,184408,233184,278114,318942,355831,388828,418481,445094,469386,491362,511329,529400,546109,561505,575394,588270,600142,611085,621077,630404,639060,647094,654645,661675,668146,674201,680022,685340,690324,695156,699648,703905,707936,711777,715215,718571,721738,724679,727559,730255,732768,735230,737542,739726,741831,743783,745634,747470,749259,750939,752465,753991,755393,756753,758072,759319,760464,761609,762735,763824,764877,765851,766765,767622,768466,769365,770183,770955,771685,772399,773065,773716,774361,774950,775526,776109,776577,777061,777547,778002,778436,778886,779354,779788,780177,780512,780905,781286,781616,781938,782247,782534,782820,783094,783344,783627,783861,784119,784347,784574,784794,784994,785203,785398,785584,785785,785968,786158,786307,786469,786637,786784,786932,787074,787212,
500618,3616,22626,56489,98040,141641,184440,224131,261081,294611,325596,353331,378487,401646,422688,441844,459426,475505,490178,503808,516389,527813,538465,548522,557818,566547,574487,581886,588837,595414,601631,607467,612912,617954,622770,627292,631510,635603,639387,642861,646174,649315,652351,655241,657962,660509,663013,665306,667520,669591,671541,673471,675325,677017,678667,680255,681769,683186,684536,685869,687133,688265,689460,690596,691669,692710,693660,694579,695492,696414,697298,698079,698811,699553,700288,700935,701605,702246,702845,703427,704002,704514,705046,705568,706061,706534,706982,707447,707861,708295,708663,709035,709414,709730,710044,710386,710686,710986,711290,711595,711847,712107,712358,712600,712844,713056,713249,713456,713674,713848,714035,714250,714441,714605,714759,714927,715108,715267,715418,715556,
50074,1734,13263,37235,69181,104763,140516,175248,207869,238477,266594,292276,315491,337081,356728,375139,391696,406941,421059,434257,446355,457354,467829,477511,486544,495070,502845,510121,516966,523431,529481,535143,540340,545410,550112,554532,558742,562687,566472,570031,573491,576644,579656,582508,585180,587714,590182,592560,594735,596794,598827,600816,602598,604392,605980,607630,609183,610629,612090,613411,614733,615923,617098,618259,619390,620380,621331,622282,623214,624064,624905,625720,626481,627231,627914,628602,629271,629912,630495,631137,631706,632263,632826,633323,633833,634294,634722,635128,635578,636014,636465,636828,637142,637516,637873,638196,638508,638823,639128,639377,639653,639939,640208,640489,640715,640928,641151,641385,641607,641803,641991,642181,642361,642552,642745,642907,643071,643227,643373,643506,
50081,737,7141,22882,45760,72860,101909,130854,158458,184477,209197,232386,253569,273523,291749,308392,323916,338372,351817,364255,375770,386420,396261,405575,414321,422349,429938,437094,443703,450078,455950,461464,466681,471565,476210,480621,484669,488608,492361,495806,499095,502173,504980,507810,510437,513030,515564,517824,520057,522123,524129,526029,527860,529588,531198,532728,534274,535727,537105,538466,539773,540930,542107,543241,544250,545299,546248,547247,548205,549051,549858,550682,551483,552214,552947,553605,554283,554946,555536,556120,556668,557271,557793,558300,558805,559273,559763,560252,560709,561148,561513,561919,562268,562670,563007,563323,563632,563934,564247,564528,564812,565090,565347,565599,565837,566082,566288,566515,566716,566904,567108,567296,567492,567666,567830,567986,568141,568312,568450,568611,
50090,234,3290,12279,27412,46525,68127,90729,113210,135103,156196,175846,194249,211799,227973,243096,257302,270559,282708,294216,304968,314950,324161,332928,340974,348552,355836,362452,368905,374912,380511,385844,390739,395550,400083,404308,408403,412089,415542,418953,422099,425179,428107,430841,433478,436028,438466,440748,442875,444889,446851,448784,450651,452357,453934,455539,456923,458416,459795,461121,462258,463472,464701,465821,466898,467899,468897,469868,470757,471596,472366,473129,473880,474622,475318,475966,476635,477279,477885,478483,479093,479636,480174,480694,481176,481635,482090,482555,482989,483415,483775,484164,484572,484966,485318,485628,485941,486252,486549,486879,487140,487393,487651,487924,488174,488418,488657,488870,489075,489275,489486,489685,489855,490018,490202,490371,490551,490714,490858,491047,
50100,125,1877,7968,18903,33661,51357,70179,89506,108550,126901,144557,161053,176910,191746,205650,218769,231147,242542,253397,263481,272746,281614,290024,297766,304990,312017,318522,324673,330333,335861,341010,345876,350387,354600,358670,362637,366320,369692,372941,376109,379056,381893,384612,387150,389624,391928,394135,396284,398506,400425,402298,404074,405765,407307,408851,410301,411745,413115,414427,415669,416898,418003,419083,420113,421097,422065,423027,423948,424824,425608,426384,427103,427821,428523,429249,429877,430484,431116,431718,432297,432865,433422,433957,434452,434895,435344,435799,436259,436648,437036,437430,437737,438100,438475,438792,439106,439394,439680,439945,440214,440523,440779,441041,441269,441488,441740,441966,442177,442372,442546,442743,442923,443100,443275,443462,443616,443760,443922,444086,
50110,39,991,4729,12310,23311,36920,51818,67518,83411,99336,114780,129251,143168,156538,169222,180939,192122,202674,212551,222038,230959,239306,247147,254547,261563,268032,274299,280237,285709,291039,295841,300482,304914,308986,312923,316786,320338,323747,326933,329924,332871,335623,338077,340528,342922,345177,347307,349333,351354,353231,355005,356791,358490,360024,361562,363018,364426,365748,367002,368212,369365,370432,371470,372546,373526,374487,375378,376214,377059,377848,378697,379432,380120,380799,381467,382106,382755,383343,383890,384468,385018,385530,386031,386507,386938,387408,387859,388252,388654,389035,389448,389794,390151,390519,390835,391130,391458,391757,392032,392308,392566,392836,393098,393337,393560,393782,393987,394207,394401,394595,394781,394948,395142,395289,395453,395580,395741,395890,396050,
50120,18,475,2572,7517,15144,24999,36483,48976,61969,75106,87885,100532,112749,124415,135376,145846,155902,165349,174411,183023,191116,198766,205937,212566,219110,225172,230995,236485,241545,246278,250854,255265,259425,263374,267103,270644,274015,277269,280334,283171,285962,288615,291101,293559,295854,298051,300147,302181,304168,305968,307743,309433,311024,312520,313912,315302,316554,317898,319137,320326,321447,322555,323636,324635,325643,326577,327451,328309,329182,329992,330729,331465,332165,332850,333542,334212,334807,335368,335892,336444,336958,337484,337987,338454,338881,339326,339759,340151,340537,340927,341307,341665,342027,342369,342692,343004,343289,343578,343854,344145,344413,344657,344895,345157,345395,345600,345823,346052,346222,346408,346586,346764,346937,347101,347249,347412,347574,347731,347862,
50130,7,183,1215,4067,8943,15649,23954,33235,43204,53353,63827,74172,84379,94106,103345,112461,121079,129330,137232,144752,151874,158545,165124,171342,177015,182709,187923,193022,197791,202386,206721,210843,214619,218251,221688,225041,228202,231212,234097,236810,239439,241825,244284,246609,248754,250763,252843,254719,256520,258202,259920,261430,263007,264455,265850,267204,268455,269742,270910,272088,273169,274213,275230,276194,277104,277980,278838,279622,280367,281126,281904,282607,283235,283903,284555,285125,285689,286224,286764,287309,287817,288310,288763,289234,289715,290111,290495,290888,291264,291624,291999,292305,292635,292956,293288,293611,293898,294179,294457,294721,294969,295224,295442,295658,295897,296102,296329,296510,296684,296877,297055,297234,297395,297552,297714,297889,298030,298166,298308,
50140,2,63,530,1883,4586,8849,14246,20605,27771,35355,43180,51091,58990,66815,74455,82136,89441,96529,103335,109905,116012,121831,127458,132902,138177,143065,147691,152127,156426,160515,164361,167965,171371,174730,177893,180972,183804,186604,189232,191667,194210,196465,198658,200854,202775,204748,206584,208293,209967,211611,213169,214639,216055,217362,218667,219875,221098,222275,223390,224414,225493,226506,227477,228354,229253,230098,230915,231735,232487,233217,233885,234567,235216,235838,236385,237014,237577,238112,238630,239129,239606,240079,240521,240945,241370,241820,242203,242553,242934,243252,243595,243939,244276,244562,244911,245194,245469,245737,245988,246246,246520,246777,246994,247221,247425,247609,247833,248017,248190,248395,248576,248729,248884,249024,249216,249352,249515,249635,249768,
50150,0,18,178,857,2331,4850,8244,12635,17509,23096,28814,34817,41189,47389,53551,59579,65481,71322,76957,82380,87625,92595,97446,102293,106575,110833,114925,118775,122457,126052,129516,132715,135939,138992,141865,144583,147192,149693,152141,154494,156706,158861,160809,162778,164648,166408,168133,169739,171327,172838,174239,175577,176921,178206,179469,180623,181730,182822,183864,184891,185849,186766,187646,188522,189317,190092,190879,191622,192353,193048,193714,194384,194966,195526,196090,196602,197124,197612,198051,198533,198993,199425,199864,200259,200628,201024,201399,201765,202111,202463,202765,203065,203380,203694,203971,204223,204476,204747,205009,205238,205454,205668,205891,206112,206322,206518,206696,206920,207121,207289,207439,207595,207779,207919,208061,208207,208358,208507,208629,
50160,0,5,62,289,958,2289,4040,6534,9540,13016,16885,21057,25432,29950,34533,39090,43637,48191,52627,56966,61128,65119,69094,72944,76745,80319,83770,86933,90137,93259,96248,99042,101778,104394,106805,109244,111508,113650,115783,117804,119787,121655,123395,125080,126771,128305,129865,131323,132722,134026,135328,136578,137778,138888,139983,141086,142108,143121,144006,144957,145880,146719,147514,148341,149126,149873,150598,151245,151858,152445,153061,153647,154240,154777,155298,155794,156328,156787,157252,157685,158083,158507,158880,159278,159659,160041,160412,160728,161047,161363,161702,161995,162283,162565,162810,163064,163291,163513,163743,163989,164198,164417,164614,164813,165005,165172,165371,165555,165739,165924,166078,166235,166400,166543,166704,166858,167013,167138,167267,
50170,0,0,14,68,258,685,1417,2521,4124,6002,8251,10734,13412,16280,19214,22207,25304,28376,31624,34656,37783,40691,43676,46578,49411,52187,54792,57274,59707,62129,64439,66696,68836,70985,72991,74852,76774,78565,80253,81985,83636,85213,86698,88144,89574,90872,92142,93373,94647,95782,96882,97956,99004,99980,100900,101807,102697,103554,104408,105168,105957,106677,107350,108014,108656,109279,109879,110473,111087,111657,112192,112689,113166,113687,114157,114622,115084,115491,115893,116287,116652,117046,117407,117771,118111,118449,118794,119081,119390,119651,119934,120224,120483,120755,120993,121255,121483,121701,121885,122104,122298,122498,122670,122818,122989,123157,123329,123499,123669,123841,124012,124127,124261,124396,124512,124636,124760,124879,125012,
50180,0,0,1,5,33,139,346,717,1262,1976,2881,3970,5156,6577,8054,9629,11323,13022,14731,16514,18375,20199,21966,23797,25601,27327,29097,30837,32551,34193,35750,37383,38932,40374,41821,43156,44548,45796,47047,48256,49484,50712,51846,52924,53907,54914,55880,56879,57792,58686,59564,60402,61208,61973,62690,63421,64132,64794,65434,66092,66719,67318,67909,68482,69024,69536,70004,70478,70966,71415,71872,72333,72793,73212,73620,73978,74350,74676,74996,75321,75649,75981,76288,76570,76842,77128,77388,77637,77888,78142,78373,78602,78828,79025,79242,79431,79605,79791,79960,80131,80294,80442,80606,80763,80904,81039,81176,81315,81443,81576,81726,81843,81961,82071,82170,82273,82371,82482,82583,
501931658,210374,398676,548210,664524,756042,828783,887581,937151,978413,1013513,1043559,1069777,1092857,1113282,1131045,1147141,1161707,1174484,1186215,1196738,1206409,1215250,1223574,1230926,1237815,1244212,1250088,1255734,1260853,1265607,1269954,1274098,1277948,1281519,1284935,1288171,1291153,1293962,1296580,1298975,1301309,1303529,1305659,1307613,1309496,1311268,1312938,1314523,1316081,1317515,1318933,1320263,1321489,1322686,1323843,1324866,1325899,1326868,1327761,1328647,1329493,1330270,1331007,1331790,1332556,1333237,1333868,1334509,1335108,1335649,1336169,1336723,1337257,1337787,1338294,1338746,1339198,1339601,1340022,1340452,1340837,1341191,1341556,1341877,1342209,1342534,1342822,1343113,1343395,1343676,1343920,1344188,1344456,1344687,1344926,1345150,1345343,1345552,1345770,1345960,1346126,1346284,1346429,1346609,1346762,1346906,1347070,1347215,1347374,1347509,1347648,1347770,1347897,1348006,1348111,1348234,1348345,1348458,1348551,
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50510,0,130,901,3014,6585,11569,17861,25048,32693,40613,48628,56779,64620,72517,80123,87415,94457,101164,107569,113725,119640,125177,130475,135410,140319,144879,149075,153243,157221,160969,164510,167969,171111,174116,177146,179969,182667,185212,187625,189948,192188,194234,196306,198301,200162,201908,203645,205215,206784,208277,209703,211098,212407,213626,214793,215944,217084,218264,219337,220336,221236,222142,223077,223879,224681,225460,226223,226921,227619,228281,228935,229550,230190,230779,231337,231871,232372,232864,233335,233831,234264,234660,235043,235449,235850,236233,236560,236937,237303,237630,237919,238205,238491,238801,239088,239336,239612,239835,240094,240312,240542,240733,240928,241144,241365,241573,241769,241953,242163,242332,242491,242671,242826,242970,243109,243244,243388,243519,243646,
50520,1,34,289,1185,2957,5726,9482,14037,19147,24631,30294,36177,42050,47841,53746,59407,65040,70547,75732,80828,85616,90267,94882,99274,103410,107446,111162,114762,118222,121446,124458,127468,130330,133003,135664,138154,140494,142724,144918,147010,149054,151000,152804,154498,156175,157776,159331,160830,162244,163647,164956,166216,167456,168605,169727,170796,171833,172851,173822,174785,175625,176469,177341,178145,178928,179675,180376,181070,181751,182409,183021,183590,184149,184685,185194,185697,186164,186649,187113,187576,187976,188405,188785,189194,189581,189931,190296,190637,190959,191269,191549,191831,192114,192410,192695,192931,193155,193404,193646,193860,194094,194304,194497,194715,194925,195094,195269,195447,195607,195785,195938,196092,196235,196362,196508,196638,196781,196917,197046,
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50680,51,747,3432,8790,16648,26113,36839,48355,59731,71298,82588,93584,104158,114362,123971,132943,141442,149453,157212,164530,171391,177806,183917,189785,195282,200411,205362,210064,214557,218711,222629,226407,229858,233204,236394,239448,242321,245126,247786,250182,252562,254810,256981,259005,260924,262877,264657,266420,268094,269732,271198,272617,274020,275362,276639,277852,279092,280203,281250,282263,283305,284246,285177,286060,286871,287682,288434,289150,289870,290599,291283,291965,292605,293237,293791,294364,294891,295405,295924,296389,296841,297281,297679,298110,298535,298952,299313,299665,300013,300358,300711,301033,301328,301608,301882,302161,302425,302674,302938,303176,303422,303649,303847,304044,304221,304426,304615,304807,304989,305151,305341,305503,305662,305804,305945,306091,306241,306362,306494,
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50710,0,12,125,578,1628,3257,5509,8529,12015,15871,19994,24324,28862,33310,37790,42224,46732,51071,55366,59570,63407,67285,70954,74590,78019,81218,84315,87409,90351,93059,95615,98128,100583,102964,105159,107320,109408,111338,113323,115231,116999,118720,120276,121799,123253,124665,126095,127392,128625,129852,130962,132016,133095,134073,135102,136074,136959,137861,138740,139576,140405,141202,141973,142686,143395,144091,144751,145357,145953,146542,147102,147608,148132,148629,149093,149579,150002,150424,150812,151221,151620,151958,152348,152719,153067,153406,153745,154013,154304,154580,154859,155090,155341,155618,155864,156095,156338,156553,156775,156971,157160,157340,157525,157693,157854,158008,158159,158304,158467,158601,158768,158916,159067,159198,159312,159453,159560,159675,159804,
50720,0,1,14,93,316,824,1532,2705,4141,5915,7875,10157,12426,14801,17401,20016,22654,25258,27896,30559,33127,35614,38145,40583,42962,45206,47393,49540,51649,53694,55674,57482,59269,61136,62883,64514,66097,67569,69069,70422,71806,73161,74421,75635,76777,77925,79063,80137,81125,82116,83077,83923,84767,85614,86429,87185,87989,88712,89441,90184,90836,91529,92120,92753,93286,93820,94352,94844,95312,95781,96242,96711,97166,97558,97946,98306,98689,99050,99410,99758,100089,100379,100695,100999,101302,101593,101885,102144,102380,102661,102907,103152,103374,103610,103826,103999,104186,104381,104570,104748,104944,105114,105280,105434,105588,105748,105878,106008,106145,106276,106413,106528,106646,106749,106841,106950,107059,107155,107259,
507385,19562,111639,257986,421623,583746,733216,868205,989437,1097032,1193053,1278817,1355586,1424604,1487455,1544382,1595718,1642737,1685621,1725117,1761250,1794883,1826014,1854771,1881485,1906372,1929614,1951159,1971637,1991081,2009283,2026384,2042354,2057561,2071843,2085374,2098307,2110440,2122096,2133067,2143518,2153480,2162914,2171987,2180948,2189329,2197393,2205236,2212584,2219574,2226246,2232762,2239124,2245019,2250816,2256345,2261777,2266915,2271893,2276799,2281524,2286022,2290311,2294462,2298538,2302367,2306200,2309978,2313489,2316932,2320274,2323544,2326690,2329795,2332847,2335886,2338722,2341495,2344079,2346670,2349254,2351702,2354120,2356362,2358681,2360931,2363134,2365221,2367210,2369201,2371180,2373064,2374944,2376815,2378549,2380272,2381956,2383604,2385208,2386827,2388385,2389967,2391488,2392965,2394383,2395801,2397162,2398480,2399810,2401054,2402301,2403551,2404768,2405958,2407089,2408243,2409325,2410386,2411443,2412490,
50740,890,15080,59678,133617,227369,330461,436253,540329,640087,734276,823033,905924,982837,1054579,1121734,1184153,1242246,1296479,1346873,1393921,1438261,1479525,1518478,1554941,1589478,1621552,1651571,1680135,1707442,1733208,1757586,1780948,1802887,1824020,1843631,1862344,1880613,1897803,1914428,1930031,1944899,1959578,1973331,1986678,1999236,2011390,2023237,2034603,2045465,2055913,2066007,2075542,2084818,2093767,2102393,2110900,2118872,2126882,2134393,2141672,2148609,2155573,2162266,2168721,2174879,2180983,2186861,2192431,2197950,2203192,2208264,2213351,2218237,2222906,2227584,2232036,2236518,2240817,2244980,2248975,2252966,2256898,2260773,2264430,2267945,2271459,2274862,2278154,2281331,2284496,2287724,2290846,2293816,2296724,2299454,2302307,2305022,2307711,2310365,2312988,2315445,2317857,2320263,2322612,2324906,2327105,2329269,2331431,2333609,2335612,2337673,2339655,2341641,2343620,2345490,2347327,2349045,2350823,2352511,
50750,60,2511,15783,47140,96850,161007,233885,311589,392730,472914,552450,628787,702592,772561,839577,903120,963506,1020848,1074801,1125905,1174816,1221099,1264855,1306185,1345378,1382423,1417637,1451369,1483232,1513577,1542266,1570074,1596806,1622134,1646105,1668929,1690998,1711883,1731935,1751490,1770078,1788102,1805309,1821587,1837321,1852515,1867411,1881664,1895275,1908500,1921133,1933509,1945205,1956596,1967700,1978474,1988945,1998938,2008693,2018376,2027644,2036444,2045012,2053370,2061505,2069490,2077141,2084511,2091658,2098555,2105274,2111882,2118333,2124484,2130577,2136502,2142274,2147848,2153392,2158811,2163941,2169108,2174097,2178958,2183805,2188470,2193040,2197513,2201957,2206045,2210138,2214303,2218230,2222078,2225808,2229474,2233047,2236535,2240096,2243430,2246743,2249967,2253200,2256425,2259475,2262548,2265555,2268490,2271269,2274043,2276768,2279435,2281991,2284614,2287180,2289558,2291948,2294398,2296868,
50760,1,125,1829,8587,23843,49216,84211,127331,176823,230546,287132,345610,405291,464020,521827,578929,634605,689142,741510,792702,842048,889435,935181,978997,1021062,1061857,1101092,1138467,1174763,1208947,1242321,1274475,1305310,1335089,1363579,1391366,1417696,1443369,1467702,1491379,1514302,1536337,1557715,1577933,1597749,1616689,1635025,1653031,1670533,1687351,1703497,1719265,1734558,1749616,1763798,1777591,1790986,1803983,1816756,1829162,1841108,1852809,1864042,1874905,1885636,1895906,1905911,1915770,1925440,1934878,1944072,1953054,1961728,1970209,1978513,1986615,1994446,2002024,2009486,2016796,2023812,2030639,2037389,2044112,2050630,2056914,2063050,2069098,2075142,2080968,2086572,2091991,2097489,2102927,2108190,2113262,2118223,2123153,2127730,2132339,2136869,2141339,2145785,2150129,2154442,2158608,2162661,2166619,2170536,2174342,2178114,2181841,2185534,2189099,2192645,2196029,2199403,2202717,2206052,
50770,0,0,37,387,2029,6009,13464,25531,42254,63346,88617,117662,149931,184558,221386,259935,299472,339438,380087,421099,461411,501615,541476,580834,619790,658013,695685,732508,768363,803344,837421,870798,903441,935371,966252,996572,1026141,1054488,1082213,1108983,1135381,1161347,1186243,1210886,1234569,1257187,1279620,1301624,1323010,1343503,1363956,1383454,1402595,1421288,1439651,1457406,1474670,1491497,1507840,1523874,1539599,1554610,1569480,1583994,1598069,1611988,1625315,1638509,1651515,1664032,1676283,1688249,1699922,1711462,1722509,1733345,1743993,1754443,1764624,1774590,1784397,1793907,1803225,1812493,1821660,1830402,1838982,1847250,1855520,1863687,1871723,1879477,1887151,1894598,1902084,1909332,1916504,1923424,1930231,1936976,1943457,1949897,1956247,1962405,1968531,1974606,1980453,1986264,1992061,1997604,2003020,2008441,2013835,2019063,2024203,2029290,2034347,2039101,2043924,
50780,0,0,1,31,252,1042,2949,6804,12842,21918,33771,48557,66136,86637,109365,134067,160786,188923,218237,248756,280074,312011,344283,376912,409835,442303,474940,507521,539668,571433,602875,634186,664953,695164,725338,754601,783504,811775,839571,866716,893557,919846,945405,970360,995043,1018911,1042477,1065754,1088150,1110217,1131771,1152803,1173459,1193522,1213032,1232487,1251235,1269741,1287928,1305704,1323313,1340239,1356961,1373184,1388928,1404421,1419738,1434359,1448968,1463131,1477089,1490738,1504164,1517540,1530611,1543267,1555681,1567924,1579786,1591567,1602936,1614342,1625223,1636222,1646673,1657164,1667374,1677418,1687230,1697054,1706516,1715697,1724800,1733848,1742708,1751290,1759660,1767916,1776059,1784080,1791960,1799729,1807400,1814963,1822533,1829796,1836928,1843899,1850637,1857360,1864111,1870653,1877171,1883552,1889833,1895930,1901993,1907857,1913762,
50790,0,0,0,0,12,90,303,931,2213,4454,7896,12855,19651,27852,37990,50125,63631,78941,95703,114082,133587,154392,176000,198293,221558,245450,269529,294402,319328,344725,370283,396094,421909,447659,473382,498865,524037,549188,574388,599217,623705,648233,672240,695802,719194,742098,765208,787786,810097,832012,853660,875276,896579,917041,937343,957095,976800,996060,1015133,1033787,1052372,1070611,1088360,1105851,1123054,1139771,1156216,1172803,1188750,1204461,1219882,1235181,1250093,1264911,1279449,1293851,1307890,1321775,1335454,1348625,1361703,1374581,1386951,1399656,1411881,1423944,1435916,1447810,1459310,1470570,1481708,1492656,1503371,1513717,1524036,1534237,1544151,1554063,1563863,1573396,1582657,1591859,1601025,1609879,1618697,1627458,1636142,1644566,1653063,1661373,1669485,1677415,1685385,1693204,1700876,1708363,1715872,1723241,1730261,
50800,0,0,0,0,0,1,13,46,142,380,839,1662,2945,4874,7414,10823,15092,20240,26389,33660,41758,51092,61159,72089,84034,96827,110259,124586,139437,155188,171361,187949,204835,222373,240372,258500,276987,295679,314420,333735,353118,372303,391646,410976,430258,449845,469296,488665,508097,527402,546517,565526,584449,603216,622032,640555,659118,677188,695247,712953,730838,748465,765737,782833,800081,817067,833832,850211,866354,882376,898512,914192,929848,945078,960191,975032,989742,1004342,1018890,1033142,1047268,1061012,1074778,1088324,1101593,1115075,1128185,1140978,1153597,1166037,1178561,1190792,1203043,1214872,1226691,1238378,1249903,1261043,1272286,1283197,1294132,1304876,1315364,1325830,1336220,1346438,1356444,1366358,1376226,1385955,1395488,1404961,1414241,1423237,1432395,1441360,1450174,1458862,1467368,
50810,0,0,0,0,0,0,0,0,1,5,20,59,114,252,453,811,1329,2087,3080,4379,6023,8008,10398,13201,16600,20291,24719,29451,34948,40771,47280,54113,61471,69270,77470,86240,95352,104696,114629,124750,135415,146461,157562,169100,181055,193169,205438,217823,230485,243222,256313,269682,283189,296686,310352,323710,337563,351133,364971,378701,392847,406699,420768,434731,448786,462746,476619,490637,504578,518420,532518,546317,559999,573637,587374,601021,614356,627744,641051,654470,667546,680659,693729,706631,719407,732229,745011,757439,769940,782539,794663,806782,818969,830989,842961,854843,866525,878141,890005,901386,912568,923748,934851,945840,956856,967664,978484,989177,999813,1010305,1020613,1030982,1041260,1051204,1061262,1071146,1080996,1090753,1100298,
50820,0,0,0,0,0,0,0,0,0,0,0,3,10,23,43,81,147,262,438,650,1005,1436,2033,2792,3720,4841,6185,7742,9612,11724,14138,16856,19840,23132,26744,30804,35054,39558,44450,49724,55196,61065,67142,73503,80248,87179,94415,102007,109823,117765,126070,134437,142870,151768,160885,169980,179259,188768,198472,208290,218114,228166,238492,248817,259239,269752,280475,291118,301822,312448,323482,334536,345672,356770,367875,378909,389940,400981,411959,423127,434023,445266,456455,467559,478618,489817,500739,511680,522454,533497,544387,555400,566253,577196,587942,598541,609165,619845,630398,640924,651415,661890,672254,682750,693046,703270,713491,723743,733776,743803,753821,763559,773526,783356,793022,802742,812138,821658,831222,
50830,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,10,19,42,82,140,214,285,413,575,800,1071,1413,1846,2388,3034,3758,4621,5595,6758,7966,9383,10980,12742,14650,16762,19024,21518,24222,27144,30124,33363,36717,40189,43964,48010,52261,56517,61133,65778,70713,75734,80931,86291,91817,97643,103382,109223,115367,121489,127948,134543,140955,147710,154539,161557,168786,175966,183254,190641,198070,205585,213135,220842,228640,236469,244388,252486,260761,268932,277175,285429,293576,301836,310111,318303,326641,335155,343486,351994,360683,369122,377451,385841,394341,402897,411323,419686,428111,436685,445255,453677,462168,470531,479020,487443,495876,504402,512816,521251,529679,538046,546360,
50840,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,8,10,14,23,38,59,85,127,183,243,312,436,566,699,896,1108,1358,1685,2045,2476,2925,3454,4070,4741,5489,6316,7229,8188,9260,10398,11667,13019,14473,16026,17686,19386,21211,23171,25165,27311,29615,31999,34395,36931,39648,42512,45303,48250,51283,54401,57764,61112,64541,68029,71663,75340,79180,83224,87270,91481,95651,99765,104059,108531,113090,117733,122451,127226,132012,136943,141809,146757,151815,156996,162152,167574,172772,178080,183475,188951,194420,200114,205787,211469,217097,222692,228497,234279,240089,245916,251668,257654,263488,269437,275374,281411,287437,
50850,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,7,9,16,24,33,45,58,80,114,155,206,282,346,431,526,639,756,907,1067,1235,1423,1645,1878,2132,2428,2730,3106,3527,3970,4415,4918,5482,6018,6640,7298,7972,8746,9543,10371,11274,12307,13264,14344,15411,16603,17783,19097,20401,21697,23071,24506,26030,27546,29115,30729,32382,34171,35995,37895,39926,41856,43931,46060,48179,50341,52601,54880,57195,59574,61998,64455,67026,69541,72118,74872,77665,80518,83371,86203,89089,91959,94917,98020,101165,104223,107329,
50860,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,3,6,8,12,14,21,25,30,39,47,59,74,87,102,123,157,188,219,247,298,347,403,465,540,644,721,800,882,980,1096,1226,1347,1495,1643,1804,1984,2199,2408,2644,2872,3111,3422,3702,4018,4360,4705,5051,5392,5779,6179,6608,7065,7547,8041,8602,9147,9722,10305,10896,11495,12144,12840,13538,14265,14961,15700,16548,17358,18206,19068,19986,20954,21919,22880,23880,
50870,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,4,4,5,5,7,11,12,14,18,20,23,27,34,39,45,50,59,68,89,101,116,144,159,177,199,230,260,291,315,348,381,415,465,515,567,622,699,751,819,901,981,1068,1158,1267,1365,1472,1582,1684,1810,1951,2079,2258,2403,2572,2725,2910,3094,3289,3490,3715,3918,
50880,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,4,5,6,6,7,7,7,9,11,14,18,24,27,28,30,35,42,46,58,62,69,75,84,97,105,122,131,144,153,167,182,196,220,239,261,285,304,326,
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51101,2320,26284,87000,175207,276786,383010,487971,588287,682537,770695,852146,928023,997248,1061610,1121416,1176740,1228062,1276022,1320741,1362385,1401316,1437659,1471883,1504117,1534443,1563197,1589908,1615305,1639083,1662124,1684030,1704730,1724405,1742994,1760748,1777680,1793690,1809312,1823954,1838044,1851630,1864562,1877075,1888995,1900683,1911979,1922615,1933040,1942987,1952787,1961873,1970954,1979574,1987938,1995995,2003888,2011583,2019039,2026197,2033021,2039722,2046075,2052353,2058529,2064571,2070348,2076038,2081562,2086856,2092009,2097110,2102006,2106909,2111551,2116192,2120752,2125079,2129283,2133430,2137493,2141455,2145244,2148971,2152587,2156139,2159507,2163082,2166393,2169732,2172971,2176106,2179161,2182201,2185197,2188038,2190855,2193686,2196384,2199090,2201691,2204233,2206729,2209215,2211654,2214034,2216456,2218751,2220981,2223198,2225303,2227364,2229573,2231652,2233674,2235733,2237682,2239650,2241538,2243504,
51110,240,6434,30490,76562,139427,213527,293142,374588,455355,533790,608661,680205,748119,812048,872577,929604,983108,1033753,1081154,1126244,1168283,1208559,1246368,1282279,1316274,1348230,1378613,1407338,1434632,1460704,1485686,1509404,1532420,1554366,1575239,1595242,1614341,1632773,1650320,1667256,1683470,1698984,1714008,1728557,1742522,1755908,1768909,1781476,1793509,1805111,1816453,1827474,1837947,1848111,1858024,1867653,1876945,1886082,1895018,1903685,1912033,1920089,1927969,1935617,1942966,1950160,1957057,1963844,1970510,1977035,1983171,1989356,1995408,2001175,2006903,2012349,2017804,2023121,2028336,2033475,2038384,2043012,2047716,2052407,2056859,2061276,2065509,2069808,2073962,2078007,2081872,2085763,2089615,2093409,2097099,2100666,2104125,2107534,2110858,2114173,2117426,2120602,2123775,2126852,2129869,2132836,2135749,2138581,2141339,2144103,2146833,2149538,2152198,2154754,2157401,2159843,2162311,2164821,2167227,
51120,9,696,5832,20922,47901,86101,132921,186192,242970,301935,361831,421158,479545,536596,591803,644718,695764,745086,792184,837381,880732,922236,962055,1000054,1036294,1071025,1104362,1135987,1166395,1195732,1224128,1251287,1277057,1301970,1325816,1348599,1370991,1392402,1413182,1433112,1452362,1470633,1488621,1505726,1522489,1538434,1554098,1569314,1583902,1598133,1611952,1625347,1638238,1650649,1662698,1674657,1686213,1697099,1707709,1718387,1728615,1738649,1748264,1757811,1766957,1775942,1784664,1793308,1801559,1809736,1817649,1825236,1832819,1840296,1847476,1854454,1861370,1868079,1874725,1881182,1887526,1893638,1899495,1905343,1911087,1916656,1922013,1927380,1932702,1937989,1943039,1948133,1953030,1957783,1962371,1966954,1971533,1976041,1980431,1984698,1988914,1992929,1997121,2001103,2004963,2008784,2012500,2016138,2019790,2023421,2026879,2030331,2033801,2037199,2040513,2043756,2046914,2050188,2053267,
51130,0,29,417,2424,8137,18857,35582,58010,85321,116751,151585,188774,227933,268465,309251,350357,391361,431962,472421,511944,551214,589073,626028,662098,696929,731208,764085,796559,827567,857781,887012,915321,942671,969293,995031,1020374,1044649,1068332,1091219,1113428,1134813,1155795,1176356,1196076,1215355,1234205,1252081,1269629,1286841,1303504,1319723,1335411,1350590,1365293,1379931,1394157,1408146,1421539,1434832,1447605,1460227,1472582,1484578,1496081,1507525,1518723,1529487,1540218,1550634,1560727,1570743,1580516,1590056,1599298,1608506,1617329,1625898,1634321,1642719,1650935,1658989,1666865,1674343,1681958,1689459,1696565,1703797,1710666,1717614,1724402,1731045,1737434,1743800,1749970,1756070,1761996,1767918,1773741,1779384,1784889,1790406,1795808,1801075,1806311,1811388,1816409,1821406,1826310,1831063,1835842,1840550,1845234,1849720,1854161,1858605,1862929,1867202,1871415,1875480,
51140,0,2,49,441,1959,5733,12589,23311,37892,56152,77609,102020,128678,157468,187880,219433,251667,284701,317848,350997,384359,417104,449532,481535,513297,545021,575745,606205,635736,664590,692496,719972,746822,772926,798449,823557,847745,871678,894872,917589,939658,961314,982088,1002549,1022514,1041569,1060651,1079338,1097249,1114809,1131882,1148843,1165092,1180911,1196393,1211836,1226336,1240847,1255082,1268923,1282264,1295707,1308622,1321448,1333943,1346190,1357959,1369483,1381021,1392060,1403245,1413995,1424512,1434685,1444682,1454537,1464237,1473804,1483112,1492312,1501233,1510010,1518801,1527282,1535655,1543774,1551864,1559856,1567552,1575033,1582590,1590014,1597139,1604154,1611128,1617832,1624537,1631127,1637807,1644126,1650437,1656713,1662778,1668731,1674606,1680349,1686196,1691881,1697444,1702967,1708330,1713637,1718655,1723816,1728777,1733647,1738573,1743384,1748201,
51150,0,0,5,37,250,1104,3069,6722,12424,20364,30950,43674,58570,75505,94509,114726,136632,159462,182973,207421,232619,258179,284073,310033,335817,361990,388317,414132,439988,465389,490462,515198,539540,563585,587402,610738,633509,655959,678054,699632,721021,742106,762685,782805,802417,821756,840721,859270,877379,895451,913074,930391,947216,963675,980068,995908,1011440,1026917,1042135,1056798,1071092,1085281,1099107,1112747,1125952,1138941,1151747,1164073,1176426,1188570,1200471,1212147,1223526,1234662,1245732,1256629,1267399,1277870,1288315,1298557,1308519,1318054,1327625,1336944,1346248,1355344,1364266,1372841,1381556,1389948,1398240,1406372,1414534,1422570,1430310,1437982,1445413,1452908,1460372,1467748,1474858,1482017,1488831,1495615,1502444,1509018,1515535,1522012,1528309,1534519,1540621,1546506,1552461,1558415,1564327,1570044,1575628,1581160,1586543,
51160,0,0,0,2,19,101,405,1097,2432,4724,8115,12791,18748,26285,35161,45240,56694,69440,83240,97996,113584,130027,147240,164958,183394,202172,221096,240423,260023,279603,299191,319074,338833,358526,378276,397609,417211,436697,455837,474784,493726,512112,530851,549108,567098,584697,602384,619688,636842,653629,670208,686858,703098,719256,735195,750645,765874,780937,795713,810412,824730,838960,852945,866855,880362,893694,906810,919635,932291,944901,957120,969336,981224,992878,1004471,1015626,1026842,1037986,1048830,1059456,1070108,1080578,1090842,1100911,1110949,1120718,1130393,1139971,1149200,1158492,1167656,1176703,1185624,1194417,1202961,1211275,1219682,1227951,1235987,1244103,1252058,1259871,1267635,1275237,1282665,1290051,1297398,1304701,1311923,1318765,1325885,1332698,1339517,1346218,1352727,1359327,1365628,1371869,1377933,
51170,0,0,0,0,0,4,23,78,242,550,1158,2101,3471,5394,8008,11230,15282,19978,25358,31602,38688,46333,54900,63913,73536,83762,94516,105872,117615,129776,142217,154980,168152,181567,195068,208836,222615,236635,250725,264858,279092,293527,307798,322211,336441,350838,365058,379552,393748,407829,421831,435927,449865,463430,477194,490766,504495,517872,531310,544491,557580,570625,583475,596274,608867,621344,633533,645497,657769,669442,681433,693095,704530,715954,727335,738411,749207,760067,770694,781334,791911,802327,812759,822935,832761,842786,852576,862158,871680,881111,890302,899616,908935,918019,927017,935871,944655,953177,961717,970253,978455,986672,994865,1003080,1011026,1018986,1026849,1034496,1042162,1049723,1057012,1064238,1071486,1078606,1085654,1092762,1099653,1106454,1113254,
51180,0,0,0,0,0,0,1,7,30,77,198,421,800,1342,2183,3305,4843,6806,9196,12117,15330,19142,23504,28298,33611,39383,45703,52371,59577,67153,75141,83400,92015,100997,110284,120025,129881,139853,150269,160671,171253,181993,192954,203899,215113,226402,237721,249197,260730,272405,283871,295501,307206,318982,330715,342155,353644,365080,376540,387859,399269,410658,421930,433251,444301,455387,466393,477350,488212,498916,509657,520133,530960,541535,551979,562244,572324,582385,592521,602554,612470,622222,631974,641640,651140,660527,669837,679133,688315,697306,706270,715112,723879,732641,741310,749924,758455,766925,775276,783423,791735,800003,808062,816139,824013,831833,839623,847331,855014,862510,870130,877567,884810,892013,899367,906437,913510,920494,927496,
51190,0,0,0,0,0,0,0,1,4,9,22,63,122,237,417,712,1120,1705,2437,3354,4535,5943,7652,9639,11969,14626,17484,20764,24295,28078,32239,36773,41491,46547,51833,57527,63454,69694,76101,82589,89340,96434,103686,111005,118596,126386,134281,142168,150259,158541,166849,175433,184039,192708,201387,210186,218966,227773,236875,245903,254770,263807,272850,282012,290870,299904,308865,317804,326842,335808,344811,353852,362881,371658,380611,389437,398348,407066,415885,424672,433434,442083,450687,459215,467637,476006,484442,492866,501091,509477,517527,525800,533887,541980,550068,558080,565847,573654,581371,589120,596737,604385,611956,619613,627140,634611,641946,649125,656431,663667,670673,677727,684792,691953,698803,705687,712578,719272,726075,
51200,0,0,0,0,0,0,0,0,0,1,3,5,15,24,40,78,128,223,363,564,804,1133,1562,2089,2758,3530,4475,5598,6888,8361,9899,11663,13604,15697,18018,20591,23387,26349,29484,32802,36374,40070,43892,47868,52087,56406,60900,65628,70465,75404,80538,85763,91096,96541,102023,107586,113441,119151,125011,131036,137117,143097,149259,155481,161878,168284,174724,181215,187730,194474,201111,207776,214487,221293,227948,234735,241540,248508,255366,262173,269034,275778,282783,289684,296520,303499,310297,317128,323944,330789,337550,344370,350957,357601,364414,371142,377718,384325,390867,397472,403935,410673,417316,423768,430274,436735,443159,449651,455877,462217,468540,474986,481283,487469,493687,499760,505943,512124,518250,
51210,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,6,12,26,46,77,120,177,258,362,503,679,883,1146,1478,1889,2351,2924,3525,4256,5022,5889,6915,7972,9106,10381,11728,13208,14841,16569,18393,20214,22220,24250,26395,28700,31096,33556,36124,38853,41695,44649,47665,50747,54136,57470,60779,64162,67683,71302,74983,78746,82610,86499,90460,94544,98602,102838,107002,111187,115498,119853,124263,128732,133193,137592,142117,146610,151261,155936,160620,165275,169839,174620,179354,184163,188872,193640,198312,203147,208194,212953,217866,222748,227654,232526,237513,242381,247227,252051,256933,261941,266849,271721,276685,281517,286312,291239,296055,300931,305874,310870,315703,320547,
51220,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,8,14,23,33,39,60,84,108,145,206,270,356,453,571,701,873,1049,1262,1537,1837,2169,2531,2921,3375,3880,4413,4981,5642,6325,7038,7796,8644,9524,10420,11427,12469,13581,14767,15980,17228,18538,19873,21323,22829,24353,25909,27637,29328,30991,32853,34718,36749,38784,40839,43019,45152,47324,49438,51652,53855,56228,58631,61042,63535,66039,68618,71152,73733,76261,78879,81514,84213,86925,89756,92508,95319,98206,101148,104077,107053,110016,112985,115967,119047,122043,125068,128158,131329,134429,137549,140736,143864,147141,150482,153754,157139,160442,
51230,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,7,15,19,24,35,42,66,85,113,145,179,213,257,324,397,475,577,690,821,976,1140,1315,1516,1720,1956,2186,2452,2725,3051,3399,3745,4076,4483,4928,5357,5818,6314,6845,7424,8016,8654,9318,10014,10732,11515,12296,13052,13874,14691,15598,16547,17490,18438,19420,20468,21534,22541,23635,24765,25925,27176,28487,29758,31058,32326,33710,35039,36369,37832,39258,40732,42237,43753,45316,46851,48453,50094,51713,53448,55127,56890,58608,60375,62119,63881,65672,67493,69346,
51240,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,3,3,6,7,9,13,17,24,33,39,50,69,87,113,123,142,170,199,236,278,321,381,444,491,557,631,714,794,899,988,1102,1222,1320,1447,1584,1750,1902,2071,2243,2449,2632,2862,3105,3329,3594,3840,4105,4396,4685,5006,5364,5723,6059,6439,6824,7224,7652,8090,8517,8963,9406,9867,10354,10888,11364,11867,12439,13043,13621,14211,14814,15449,16094,16707,17370,18013,18688,19393,20075,
51250,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,4,4,5,5,7,9,10,13,13,20,22,27,33,38,44,54,61,75,96,109,127,138,157,169,193,220,244,261,297,316,351,388,417,456,488,527,568,622,674,730,783,842,919,990,1049,1124,1196,1278,1384,1470,1565,1664,1754,1848,1947,2059,2173,2297,2412,2551,2705,2847,2994,
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51468,4616,39584,113557,211681,319141,426069,529383,626768,715967,798827,874954,944762,1008720,1067642,1122409,1172869,1219634,1263224,1304190,1341783,1377366,1410377,1441306,1470420,1498006,1523765,1548006,1571116,1592991,1613623,1633071,1651963,1670094,1687185,1703676,1719027,1733713,1747711,1761117,1774262,1786913,1798857,1810496,1821289,1832136,1842625,1852677,1862327,1871574,1880585,1889266,1897641,1905669,1913505,1921119,1928545,1935765,1942611,1949252,1955901,1962210,1968268,1974211,1980005,1985754,1991362,1996726,2001999,2007046,2012026,2016912,2021623,2026281,2030883,2035104,2039327,2043608,2047676,2051737,2055593,2059348,2063162,2066879,2070484,2073997,2077354,2080730,2084056,2087300,2090510,2093642,2096668,2099681,2102584,2105352,2108140,2110916,2113719,2116348,2118976,2121531,2124060,2126481,2128835,2131274,2133625,2135966,2138268,2140495,2142686,2144762,2146917,2149047,2151090,2153078,2155123,2157078,2158936,2160751,
51470,731,12153,46806,104306,176987,257436,340928,423185,502975,578926,650918,718431,781800,841250,896673,948473,997115,1043213,1086580,1127046,1165336,1201414,1235551,1267735,1298192,1327010,1354015,1379754,1404375,1427853,1450190,1471754,1492185,1511402,1529973,1547898,1565298,1581812,1597575,1612857,1627316,1641371,1654985,1667987,1680714,1692872,1704546,1715723,1726628,1737374,1747761,1757702,1767245,1776487,1785435,1794197,1802823,1811118,1819200,1827129,1834630,1841928,1849288,1856274,1863224,1869782,1876219,1882552,1888734,1894781,1900595,1906265,1911807,1917250,1922737,1927851,1932983,1938032,1942938,1947708,1952404,1956942,1961455,1965832,1970112,1974235,1978313,1982359,1986199,1990014,1993805,1997586,2001163,2004741,2008252,2011752,2015171,2018512,2021752,2024968,2028059,2031061,2034040,2037033,2039891,2042779,2045625,2048315,2051009,2053604,2056175,2058670,2061305,2063883,2066437,2068888,2071257,2073619,2075963,
51480,32,2033,12141,35872,72927,120790,175885,235122,295791,357004,417114,475935,532702,587740,640016,689956,737588,783240,826731,868396,907745,945044,981078,1015313,1047758,1078677,1108307,1136555,1163806,1189561,1214300,1238208,1261012,1282861,1304144,1324280,1343852,1362839,1380856,1398242,1414985,1431418,1447206,1462329,1477035,1491155,1504964,1518447,1531335,1543916,1555981,1567691,1579101,1590292,1601135,1611553,1621837,1631642,1641215,1650539,1659782,1668812,1677522,1685925,1694099,1702146,1709942,1717565,1724963,1732213,1739434,1746435,1753197,1759759,1766259,1772636,1778867,1784872,1790823,1796600,1802308,1808000,1813474,1818881,1824116,1829275,1834265,1839220,1844123,1848855,1853517,1858214,1862701,1867217,1871511,1875884,1880047,1884206,1888164,1892193,1896011,1899744,1903543,1907273,1910928,1914524,1918096,1921666,1925045,1928312,1931587,1934863,1937939,1941061,1944108,1947154,1950125,1953027,1956027,
51490,0,102,1453,6533,17704,36043,60817,91252,126552,165087,205416,247143,289784,332507,374775,416528,457281,497114,535893,573594,610568,646357,680890,714090,746396,777246,807323,836169,863883,891099,916854,941842,966397,990111,1012895,1034963,1056445,1077114,1097067,1116440,1135277,1153773,1171549,1188702,1205377,1221575,1237444,1252855,1267812,1282200,1296208,1310022,1323390,1336148,1348808,1361088,1372859,1384619,1395955,1406858,1417536,1428203,1438548,1448782,1458707,1468282,1477720,1486827,1495651,1504431,1512852,1521151,1529412,1537451,1545361,1553093,1560563,1568006,1575195,1582292,1589212,1596129,1602751,1609358,1615969,1622275,1628624,1634691,1640766,1646600,1652352,1658045,1663670,1669191,1674693,1680083,1685229,1690331,1695309,1700211,1705074,1709932,1714668,1719328,1723831,1728217,1732619,1737063,1741449,1745796,1749968,1754060,1758054,1761959,1765953,1769909,1773755,1777434,1781118,
51500,0,16,295,1864,6221,14586,27681,45541,67699,93156,121581,152406,184568,217971,252054,286539,321136,355692,389494,423235,455918,488235,520237,551055,580901,610295,638941,666656,694183,720330,745854,770655,794865,818438,841419,863606,885242,906197,926577,946464,965845,984741,1003037,1020754,1037988,1054880,1071294,1087278,1102919,1118135,1132732,1147222,1161386,1175103,1188550,1201667,1214570,1227060,1239311,1251083,1262769,1273953,1285177,1296015,1306650,1316967,1327087,1337016,1346681,1356301,1365791,1374943,1383880,1392596,1401258,1409830,1418151,1426493,1434288,1442177,1449850,1457469,1465088,1472363,1479495,1486458,1493309,1499948,1506634,1513139,1519571,1526002,1532201,1538288,1544408,1550254,1556016,1561753,1567415,1572998,1578352,1583665,1589005,1594204,1599337,1604448,1609502,1614353,1619213,1623877,1628532,1633142,1637661,1642104,1646441,1650828,1655109,1659291,1663457,
51510,0,4,36,334,1463,4295,9534,17769,29078,43371,60282,79369,100496,123261,147839,173094,199135,225795,252779,280317,307519,334628,361727,388309,414831,441137,466799,492087,516768,541147,564977,588229,611020,633294,655404,677155,698038,718496,738570,758082,777369,796007,814270,832185,849336,866474,883305,899558,915260,930991,946270,961043,975689,989934,1003742,1017474,1030711,1043948,1056706,1069186,1081521,1093505,1105362,1117066,1128332,1139415,1150202,1160655,1171073,1181185,1191236,1201148,1210868,1220348,1229660,1238804,1247844,1256654,1265246,1273748,1282185,1290501,1298637,1306506,1314273,1321968,1329492,1336979,1344322,1351475,1358561,1365427,1372126,1378785,1385315,1391870,1398388,1404779,1410940,1417100,1423008,1428892,1434726,1440532,1446245,1451855,1457316,1462802,1468099,1473377,1478684,1483823,1488995,1494045,1499024,1503905,1508503,1513368,1517890,
51520,0,0,3,31,198,781,2217,4773,8854,14784,22538,31960,43131,56007,70307,85765,102533,120163,138861,158292,178017,198045,218560,239358,260158,280906,301587,322414,343345,364049,384498,404903,424755,444536,464173,483378,502339,521099,539664,557890,575648,593352,610515,627434,644195,660714,676816,692673,708055,723150,738182,752974,767473,781752,795578,809340,822738,835732,848527,861232,873748,885868,897921,909894,921469,933026,944454,955518,966205,976724,987311,997643,1007870,1017755,1027631,1037173,1046569,1055880,1065118,1074242,1083108,1091732,1100357,1108855,1117135,1125395,1133514,1141483,1149394,1157088,1164975,1172514,1179980,1187251,1194324,1201369,1208362,1215102,1221944,1228572,1235116,1241435,1247896,1254213,1260392,1266627,1272573,1278561,1284467,1290289,1295929,1301636,1307274,1312855,1318293,1323727,1329083,1334467,1339553,
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51540,0,0,0,0,1,10,54,151,411,888,1670,2909,4663,7006,9946,13531,17871,22825,28674,35176,42230,49734,57913,66849,76177,85925,96062,106646,117369,128472,139859,151433,163276,175142,187310,199433,211734,223904,236334,248861,261378,273821,286138,298476,310850,323150,335612,347908,360099,372204,384141,396132,407922,419633,431389,443196,454604,466058,477334,488649,499587,510300,521100,531841,542328,552667,562900,573180,583211,593329,603195,612943,622591,632027,641387,650742,659855,669024,678155,687070,695966,704817,713587,722220,730518,739005,747206,755236,763478,771363,779265,787164,794626,802412,809780,817263,824625,831848,839036,846082,853191,859943,866863,873696,880446,887081,893674,900228,906518,912822,919031,925208,931305,937367,943359,949320,955304,961078,966865,
51550,0,0,0,0,0,0,6,25,59,157,346,660,1212,1988,3077,4512,6365,8496,11121,14289,17909,22006,26511,31428,36709,42486,48636,55190,62105,69232,76664,84505,92577,100985,109474,118264,127123,136304,145561,154994,164349,173773,183469,193272,202866,212683,222544,232369,242402,252234,261917,271793,281462,291317,301183,310988,320961,330719,340572,350329,360096,369538,379017,388372,397721,406909,416016,425210,434302,443305,452203,461138,469877,478626,487362,495923,504485,512855,521217,529408,537644,545823,553699,561694,569710,577588,585250,592958,600618,608178,615796,623127,630558,637720,644956,652292,659410,666412,673326,680289,687093,693950,700666,707297,714023,720537,727101,733549,739825,746074,752253,758280,764561,770546,776485,782488,788477,794245,800000,
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51800,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,5,5,6,10,14,16,19,22,24,27,29,33,41,49,58,69,80,92,101,117,131,145,158,175,205,228,243,269,295,325,368,402,446,487,525,564,608,665,717,756,805,860,909,979,1048,1137,1222,1294,1374,1455,1548,1627,1738,1835,1914,2016,2143,2243,2361,2481,2602,2727,2879,3011,
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518221,7762,53629,139087,244078,354515,462068,563575,657216,742666,820891,892573,957702,1017570,1072505,1122941,1169791,1213230,1253704,1291404,1326185,1358970,1389539,1418620,1445270,1470584,1494502,1516975,1537981,1558297,1577334,1595619,1612930,1629387,1645139,1660249,1674703,1688202,1701502,1714208,1726319,1738051,1749529,1760400,1770828,1780893,1790445,1799955,1808920,1817734,1826221,1834343,1842475,1850164,1857530,1864786,1871761,1878644,1885127,1891489,1897805,1903975,1909893,1915581,1921188,1926564,1931831,1936905,1941916,1946805,1951520,1956245,1960739,1965130,1969481,1973668,1977756,1981672,1985585,1989490,1993221,1996881,2000532,2003999,2007570,2010927,2014255,2017517,2020674,2023819,2026929,2029902,2032885,2035869,2038635,2041463,2044172,2046888,2049593,2052211,2054838,2057448,2059839,2062248,2064649,2066978,2069240,2071541,2073713,2075835,2078025,2080131,2082179,2084263,2086383,2088394,2090359,2092310,2094231,2096108,
51830,1688,19047,64241,131701,211391,295589,380318,462410,540329,613863,682526,746757,806192,862041,914123,962583,1007480,1049881,1089912,1127240,1162586,1195465,1226646,1255872,1283688,1309970,1334996,1358738,1381316,1403041,1423639,1443311,1462049,1479784,1496871,1513374,1529132,1544321,1559063,1573094,1586767,1599649,1612202,1624179,1635860,1646954,1657789,1668354,1678453,1688177,1697737,1707061,1716045,1724737,1733032,1741212,1749033,1756839,1764346,1771668,1778728,1785600,1792299,1798860,1805181,1811425,1817497,1823542,1829162,1834998,1840386,1845838,1851130,1856424,1861391,1866312,1871100,1875679,1880299,1884817,1889071,1893466,1897698,1901836,1905939,1909827,1913797,1917622,1921370,1925161,1928745,1932170,1935612,1939018,1942429,1945748,1949009,1952232,1955437,1958456,1961410,1964328,1967171,1970087,1972975,1975730,1978495,1981031,1983633,1986301,1988759,1991233,1993652,1996102,1998520,2000920,2003268,2005554,2007803,
51841,157,4238,20579,52763,99030,154300,214783,277375,340123,402033,461885,519453,574545,626885,676626,723912,768750,811165,851945,890643,927099,961770,994461,1025803,1055266,1083520,1110920,1137094,1161762,1185477,1208105,1229874,1250759,1270524,1289596,1308145,1325923,1343203,1359814,1375531,1390826,1405493,1419689,1433681,1446987,1459909,1472311,1484472,1496188,1507456,1518323,1528910,1539350,1549500,1559132,1568875,1578181,1587222,1596093,1604537,1612896,1620941,1628863,1636721,1644098,1651450,1658608,1665592,1672598,1679303,1685771,1692224,1698452,1704597,1710451,1716381,1722160,1727783,1733068,1738483,1743915,1749059,1754119,1759202,1764015,1768850,1773506,1778115,1782625,1787003,1791382,1795679,1799773,1803892,1807992,1812054,1815901,1819768,1823653,1827407,1830970,1834524,1838051,1841487,1844909,1848268,1851501,1854801,1858018,1861213,1864246,1867269,1870184,1873126,1876012,1878843,1881681,1884521,1887273,
51850,7,381,3441,12650,30014,55491,87636,124454,164654,207240,251261,295351,339512,382941,425157,466352,506296,545049,582110,618345,653282,686826,718866,750096,780296,808993,836768,863638,889433,914395,938239,961349,983636,1005076,1025776,1045587,1065153,1083917,1101929,1119289,1136222,1152872,1168853,1184247,1199359,1214030,1228169,1241766,1255122,1267915,1280522,1292704,1304572,1316178,1327319,1338321,1349180,1359585,1369699,1379746,1389419,1398974,1408097,1417195,1426097,1434750,1443110,1451355,1459309,1467242,1474977,1482594,1490080,1497411,1504253,1511326,1518290,1525155,1531766,1538213,1544520,1550843,1557128,1563098,1568805,1574375,1579926,1585529,1591046,1596427,1601631,1606917,1612030,1617057,1622013,1626817,1631642,1636340,1640893,1645471,1649785,1654162,1658460,1662770,1666962,1670970,1674908,1678872,1682671,1686565,1690329,1694197,1697876,1701516,1705203,1708700,1712138,1715680,1719080,
51860,0,62,955,4552,12715,26393,45465,69891,97930,128706,161923,196548,231847,267770,303578,339344,374599,409313,443209,476125,508418,539822,570324,599983,628722,656566,683489,709575,734782,759112,782827,805776,827875,849267,870114,890557,910171,929457,947941,965889,983645,1000774,1017303,1033159,1048630,1063817,1078734,1093147,1107161,1120965,1134462,1147639,1160282,1172529,1184565,1196382,1207968,1218993,1229992,1240530,1250802,1260854,1270732,1280472,1289942,1299238,1308251,1317130,1325744,1334419,1342876,1350991,1359099,1366917,1374567,1382202,1389736,1397017,1404197,1411215,1417957,1424739,1431398,1437850,1444325,1450690,1456779,1462772,1468710,1474589,1480272,1485965,1491627,1497088,1502502,1507835,1513092,1518188,1523191,1528142,1533014,1537772,1542453,1547050,1551616,1556162,1560611,1564990,1569424,1573776,1577912,1582104,1586207,1590075,1594056,1598017,1601825,1605609,1609235,
51870,0,9,158,1091,3959,9842,19132,32257,48857,68675,90689,114899,140511,167373,195270,223577,252261,281128,309579,337758,365718,393199,420158,446807,473067,498706,523770,547991,571748,594918,617441,639479,661281,682118,702617,722549,742226,760967,779424,797788,815222,832284,848916,865164,881056,896359,911510,926248,940642,954710,968288,981684,994669,1007507,1020089,1032276,1044508,1056356,1067748,1078839,1089860,1100780,1111320,1121489,1131383,1141294,1150880,1160188,1169168,1178426,1187274,1196031,1204638,1213099,1221330,1229462,1237528,1245377,1253017,1260542,1268013,1275388,1282554,1289605,1296589,1303384,1310081,1316668,1323217,1329408,1335750,1341961,1347975,1353916,1359682,1365329,1371026,1376601,1382111,1387434,1392874,1398148,1403382,1408519,1413550,1418519,1423510,1428267,1433033,1437627,1442245,1446808,1451277,1455787,1460154,1464529,1468845,1473083,1477182,
51880,0,0,25,182,846,2585,5975,11200,18920,28846,41025,55087,70850,87916,106493,126131,146472,167502,189044,210940,232953,254801,276704,298990,320586,342208,363574,384800,405715,426572,446625,466595,486150,505520,524526,543085,561390,579323,596806,613891,630520,647071,663298,679242,694826,709843,724705,739464,753901,767977,781441,794652,807970,820938,833610,846058,858182,870155,881747,893028,904131,915249,925951,936403,946970,957084,967171,976965,986671,996129,1005412,1014533,1023584,1032437,1041210,1049784,1058311,1066524,1074732,1082761,1090535,1098433,1105985,1113460,1120929,1128020,1135230,1142336,1149298,1156183,1162841,1169594,1176052,1182489,1188761,1194908,1201056,1207002,1213004,1218976,1224919,1230601,1236282,1241830,1247365,1252811,1258111,1263486,1268755,1273815,1278955,1283911,1288818,1293742,1298509,1303274,1307960,1312468,1317038,
51890,0,0,2,13,83,353,1048,2446,4731,8276,13082,19412,26827,35458,45224,56064,67946,80619,94118,108444,123227,138385,153729,169595,185885,202287,218285,234709,250922,267712,283969,300358,316368,332386,348409,364118,379550,395041,410159,425199,440455,455099,469579,483892,498010,511942,525738,539277,552637,565765,578695,591340,603854,616285,628374,640324,651903,663409,674850,685988,697133,708097,718762,729144,739510,749708,759671,769589,779249,788718,798068,807305,816366,825219,833998,842710,851280,859765,868076,876299,884398,892505,900483,908291,915976,923655,931176,938532,945840,952966,959981,966924,973582,980457,987186,993702,1000147,1006516,1012792,1018980,1025183,1031298,1037315,1043148,1049013,1054800,1060511,1066196,1071831,1077363,1082625,1088083,1093441,1098573,1103923,1109069,1114130,1119016,1123898,
51900,0,0,0,0,14,83,277,721,1617,3101,5273,8183,12034,16756,22340,28730,36192,44373,53342,62936,73117,83767,95168,106777,118877,131366,144115,157023,169987,183265,196726,209984,223451,236933,250283,263604,277020,290291,303240,316483,329510,342480,355436,368226,380971,393362,405751,418289,430294,442238,454105,466022,477503,488966,500116,511291,522338,533208,544032,554600,565233,575680,585938,596096,606064,615750,625485,634979,644378,653738,662800,671880,680911,689820,698665,707110,715571,724014,732142,740326,748430,756412,764294,771981,779606,787098,794667,801905,809207,816291,823253,830276,837223,844051,850604,857357,863924,870506,876851,883223,889536,895714,901811,907882,913712,919596,925282,930940,936605,942179,947826,953184,958573,963979,969298,974669,979929,985169,990124,
51910,0,0,0,0,2,12,61,151,383,811,1577,2715,4358,6447,9191,12368,16173,20584,25623,31298,37503,44317,51610,59184,67319,75811,84590,93825,103185,112709,122652,132814,142983,153250,163614,174051,184635,195287,205953,216574,227268,237953,248765,259392,269945,280769,291276,301772,312300,322906,333417,343553,353865,364007,374201,384203,394131,403822,413696,423481,432977,442442,451796,460948,470145,479193,488265,497244,506108,514797,523586,532087,540636,548890,557055,565222,573384,581245,589067,596868,604509,611998,619555,626997,634278,641614,648877,656172,663159,670172,677024,683860,690636,697193,703834,710271,716657,722943,729530,735860,741990,748198,754321,760270,766213,772048,777888,783706,789343,794933,800414,805886,811305,816736,822187,827599,832990,838250,843425,
51920,0,0,0,0,0,0,3,16,46,129,300,583,1011,1724,2715,4009,5575,7503,9758,12408,15420,18853,22744,26870,31354,36310,41439,46923,52858,59095,65459,72047,78752,85717,92971,100490,107949,115493,123143,130975,138973,147094,155150,163252,171468,179723,187949,196368,204724,213185,221558,229976,238351,246607,254787,263144,271389,279580,287852,296099,304194,312449,320561,328499,336474,344395,352197,360017,367700,375422,383109,390612,397997,405435,412820,420072,427453,434790,442012,449131,456215,463303,470300,477176,483977,490817,497510,504178,510784,517174,523677,530204,536677,542990,549179,555394,561495,567442,573530,579518,585476,591423,597173,602885,608566,614339,620076,625612,631195,636724,642272,647573,652723,658037,663247,668424,673597,678736,683795,
51930,0,0,0,0,0,0,0,2,7,23,42,82,178,323,519,835,1236,1790,2539,3420,4457,5755,7270,9024,10944,13105,15551,18117,21033,24116,27473,31021,34833,38941,43032,47393,51828,56377,61178,66124,71147,76374,81613,87034,92448,98019,103806,109824,115649,121605,127569,133588,139736,145676,151858,158018,164234,170430,176616,183057,189322,195595,201939,208205,214596,220804,227007,233206,239300,245505,251690,257910,264036,270232,276431,282474,288616,294734,300828,306845,312945,318951,324866,330780,336751,342506,348340,354300,359999,365714,371428,377071,382718,388313,393730,399109,404529,409909,415323,420669,426005,431132,436420,441675,446871,452007,457127,462202,467187,472130,477099,481985,486977,491787,496616,501320,506184,510836,515535,
51940,0,0,0,0,0,0,0,0,0,0,3,5,10,22,45,75,129,219,345,517,738,1027,1429,1866,2410,3036,3788,4662,5582,6722,7951,9266,10730,12371,14112,16026,17992,20187,22386,24739,27218,29749,32489,35265,38103,41140,44219,47384,50653,54080,57556,61052,64649,68225,71942,75763,79698,83601,87637,91730,95819,99953,104137,108366,112621,116849,121150,125432,129767,134122,138437,142805,147196,151771,156133,160680,165078,169522,174136,178589,183088,187638,192096,196603,201234,205788,210251,214753,219239,223737,228111,232493,236880,241405,245847,250298,254732,259069,263535,267858,272145,276407,280699,285005,289310,293512,297795,301930,306097,310298,314417,318535,322683,326807,330826,334978,339082,343093,347180,
51950,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,5,12,21,35,56,90,146,225,296,388,524,707,900,1107,1390,1728,2109,2576,3058,3640,4254,4990,5754,6576,7497,8504,9587,10702,11887,13065,14371,15756,17346,18868,20485,22209,23911,25731,27659,29538,31523,33590,35675,37804,40090,42295,44614,46998,49462,51966,54464,57030,59632,62292,64904,67656,70387,73229,76076,78927,81796,84652,87665,90635,93608,96573,99610,102613,105530,108588,111746,114850,118017,121076,124136,127324,130463,133592,136721,139743,142874,146116,149393,152619,155783,159034,162201,165451,168572,171825,175112,178382,181610,184880,188063,191274,194418,197624,200860,204155,207433,210676,213913,217105,
51960,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,7,10,17,25,36,47,71,104,135,181,225,296,380,489,619,755,894,1060,1263,1482,1745,2023,2309,2617,3001,3388,3841,4308,4787,5270,5852,6440,7107,7799,8439,9208,9989,10825,11715,12626,13545,14481,15473,16518,17611,18684,19758,20879,22072,23304,24579,25815,27140,28502,29867,31251,32727,34232,35709,37309,38864,40428,42064,43689,45414,47157,48834,50533,52192,53985,55880,57688,59572,61443,63339,65196,67101,68958,70832,72800,74686,76650,78591,80590,82641,84695,86781,88830,90997,93066,95168,97199,99295,101351,103465,105518,107686,109815,
51970,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,7,9,15,25,33,42,53,67,87,107,134,169,205,242,286,343,404,467,553,652,745,837,955,1085,1209,1354,1494,1671,1860,2058,2259,2487,2686,2930,3213,3485,3776,4112,4411,4741,5058,5401,5764,6137,6560,6971,7432,7883,8388,8871,9358,9837,10373,10922,11515,12095,12727,13315,13952,14563,15238,15910,16613,17307,18037,18736,19482,20286,21101,21913,22683,23500,24338,25195,26009,26881,27759,28629,29466,30400,31366,32336,33313,34236,35204,36193,37237,
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52370,270,6671,30907,76532,138818,211962,289853,368828,447002,522075,594486,662991,728104,788857,845575,899473,950008,998042,1043027,1085176,1124911,1161913,1197443,1230994,1262547,1292872,1321121,1347886,1373325,1397482,1420820,1442691,1463454,1483526,1502644,1520987,1538428,1555240,1571358,1586797,1601502,1615701,1629598,1642502,1655046,1667263,1679039,1690278,1701107,1711737,1721976,1731951,1741385,1750702,1759711,1768381,1776727,1784733,1792587,1800392,1807910,1815200,1822157,1829012,1835595,1841888,1848252,1854379,1860078,1865747,1871490,1876831,1882235,1887564,1892593,1897524,1902394,1907030,1911591,1916009,1920263,1924495,1928581,1932713,1936760,1940705,1944612,1948381,1952177,1955711,1959250,1962647,1966031,1969286,1972501,1975679,1978766,1981826,1984806,1987848,1990778,1993466,1996131,1998743,2001488,2004146,2006608,2009038,2011480,2013887,2016347,2018741,2020938,2023230,2025417,2027657,2029847,2031959,2034038,
52380,21,878,6726,22839,50918,89766,136728,188882,244886,301943,359691,416793,472369,526245,578439,627758,675806,721770,765931,808152,848282,886482,923021,957983,991128,1022858,1052931,1081991,1110015,1136546,1161791,1186272,1209487,1231882,1253158,1273756,1293599,1312750,1331256,1348953,1366048,1382532,1398510,1413772,1428478,1442575,1456312,1469549,1482544,1494981,1506907,1518545,1529855,1540806,1551426,1561830,1572022,1581746,1591409,1600588,1609528,1618219,1626670,1634999,1642985,1650810,1658452,1665829,1672986,1679963,1686862,1693611,1700267,1706490,1712757,1718817,1724685,1730543,1736191,1741786,1747141,1752418,1757537,1762706,1767615,1772479,1777258,1781897,1786417,1790845,1795258,1799500,1803731,1807734,1811672,1815558,1819385,1823069,1826725,1830346,1833852,1837342,1840764,1844135,1847516,1850711,1853996,1857164,1860343,1863372,1866375,1869422,1872182,1874992,1877744,1880578,1883306,1885856,1888462,
52390,0,29,582,3274,10062,22761,41335,65284,94064,126729,161826,198688,237206,276411,315851,355451,394093,431844,469287,506038,541772,576369,610308,642970,674274,705000,735083,763844,791786,818482,844518,869488,893686,917236,939957,961820,983169,1003606,1023217,1042376,1060744,1078830,1096379,1113640,1130021,1145969,1161258,1176465,1191106,1205392,1219308,1232802,1246000,1258505,1270667,1282476,1294224,1305588,1316660,1327278,1337766,1347937,1357778,1367490,1376822,1386228,1395205,1403881,1412500,1421095,1429315,1437328,1445085,1452900,1460466,1467685,1474799,1481783,1488806,1495558,1502025,1508421,1514843,1521007,1527113,1532946,1539053,1544771,1550534,1555939,1561345,1566555,1571736,1576941,1581868,1586824,1591626,1596353,1600922,1605485,1609942,1614270,1618465,1622781,1626911,1630991,1635038,1639054,1642931,1646700,1650406,1654100,1657779,1661306,1664772,1668263,1671705,1675011,1678270,
52400,0,2,107,800,3204,8383,17153,30031,46714,66974,90252,116143,143714,173030,203270,234269,265848,297683,329421,360693,391645,421941,452174,481624,510575,539086,566593,593267,619401,644855,669733,693836,717377,740163,762353,784153,804973,825485,845136,864377,883109,901354,919084,936288,953469,969813,985998,1001477,1016553,1031181,1045325,1059208,1072757,1086003,1098999,1111571,1123672,1135613,1147287,1158722,1169784,1180496,1190978,1201265,1211336,1221260,1230911,1240379,1249504,1258647,1267533,1276195,1284722,1292925,1301093,1308980,1316854,1324525,1331779,1339094,1346313,1353307,1360214,1366808,1373522,1380108,1386524,1392843,1398988,1405063,1410938,1416759,1422429,1428022,1433465,1438998,1444382,1449552,1454526,1459613,1464593,1469441,1474207,1478810,1483433,1487817,1492292,1496757,1501283,1505514,1509851,1514004,1518190,1522069,1526017,1529871,1533663,1537432,1541090,
52410,0,0,8,131,684,2261,5491,10803,18594,28946,41702,56898,73809,92766,113182,135156,157839,181246,205336,229683,254405,279029,303539,328219,352498,376759,400500,423962,447338,470186,492655,514774,536223,557312,577859,598161,617716,637106,656093,674564,692648,710343,727721,744692,761107,777460,793275,808524,823563,838344,852523,866690,880512,894037,907232,919974,932585,944911,956971,968529,980151,991473,1002354,1012994,1023709,1034167,1044169,1054020,1063621,1073198,1082637,1091623,1100584,1109309,1117943,1126374,1134562,1142670,1150558,1158441,1166017,1173514,1180757,1188190,1195220,1202431,1209403,1216043,1222674,1229171,1235416,1241668,1247828,1253950,1259946,1265813,1271533,1277164,1282854,1288322,1293805,1299058,1304328,1309381,1314436,1319465,1324385,1329202,1333987,1338720,1343381,1347946,1352281,1356595,1360916,1365133,1369437,1373501,1377531,
52420,0,0,0,11,74,359,1112,2672,5369,9351,14887,22022,30636,40608,52206,65089,79211,93976,109850,126182,142957,160410,178327,196605,215319,234007,252612,271426,289922,308425,326750,345049,363025,380872,398468,416110,433600,450806,467727,484527,500880,517110,532899,548543,563755,578603,593153,607527,621952,636043,649790,663224,676412,689456,702070,714597,726916,738912,750718,762311,773816,785030,795765,806316,816991,827291,837554,847518,857331,866930,876329,885552,894640,903641,912503,921090,929544,937930,946053,954142,962018,969720,977429,984918,992258,999592,1006701,1013569,1020392,1027260,1033903,1040287,1046685,1053067,1059447,1065655,1071692,1077721,1083657,1089371,1095147,1100823,1106480,1112105,1117630,1122919,1128041,1133267,1138265,1143187,1148095,1153033,1157886,1162580,1167233,1171838,1176493,1181108,1185487,
52430,0,0,0,0,5,33,131,393,933,2011,3604,5982,9036,12910,17745,23391,29941,37484,45738,54622,64192,74480,85237,96605,108542,120617,133191,145827,158734,171884,185364,198744,212060,225655,239097,252619,266022,279340,292706,306008,319310,332384,345456,358482,371232,384042,396687,409104,421525,433483,445519,457377,469023,480592,491968,503243,514319,525394,536305,547101,557630,567964,578157,588240,598042,607922,617431,626804,636047,645057,654258,663324,672179,680751,689330,697693,705874,714051,722026,729933,737612,745379,752792,760276,767676,774955,782118,789200,796081,802927,809539,816242,822775,829207,835576,841934,848187,854401,860277,866290,872003,877756,883493,889229,894743,900136,905572,911072,916457,921735,926942,931974,936996,941985,946897,951664,956462,961102,965809,
52440,0,0,0,0,1,2,22,89,250,586,1151,2067,3412,5191,7620,10593,14215,18345,23186,28532,34364,40834,47877,55418,63343,71760,80685,89825,99348,109042,118987,129153,139597,150095,160800,171485,182290,193111,203935,214723,225578,236500,247395,258369,269058,279874,290704,301321,311910,322419,332996,343419,353690,364054,374032,384025,393890,403664,413434,423128,432701,442025,451501,460538,469591,478691,487731,496553,505235,513728,522012,530304,538526,546584,554549,562495,570322,578033,585695,593318,600768,608327,615586,622617,629686,636746,643610,650442,657171,663955,670395,676797,683127,689271,695452,701615,707739,713758,719708,725547,731319,736835,742308,747808,753220,758687,763881,769151,774515,779525,784829,789839,794753,799782,804679,809499,814272,818898,823504,
52450,0,0,0,0,0,0,4,14,57,127,306,586,1009,1732,2643,3932,5517,7467,9827,12563,15700,19239,23322,27735,32490,37765,43153,49208,55397,61856,68425,75459,82726,90094,97839,105575,113343,121445,129653,137791,146078,154526,162877,171369,180014,188669,197128,205820,214490,223028,231674,240307,248815,257342,265692,274222,282625,291118,299415,307685,315902,323942,331978,339897,347981,355927,363645,371477,379048,386556,394035,401566,408990,416356,423698,430853,437988,445040,451813,458677,465431,472255,478790,485445,491972,498426,504781,511123,517318,523502,529607,535585,541548,547463,553186,558973,564696,570394,576026,581652,586993,592449,597832,602943,608293,613447,618563,623632,628794,633951,638893,643756,648629,653446,658164,662824,667370,671925,676511,
52460,0,0,0,0,0,0,0,2,7,18,40,103,205,410,691,1128,1737,2432,3389,4537,5988,7594,9509,11750,14134,16858,19802,23076,26569,30217,34086,38375,42815,47383,52231,57219,62310,67646,73070,78691,84402,90328,96163,102065,108246,114481,120915,127226,133708,140274,146652,153198,159684,166317,172997,179637,186224,192814,199318,205837,212476,219074,225583,232190,238947,245377,251875,258359,264797,271109,277359,283697,289884,296255,302462,308663,314742,320803,326927,332817,338688,344607,350516,356389,362151,367856,373449,379142,384579,390180,395646,401138,406469,411835,417039,422422,427516,432583,437597,442599,447515,452476,457479,462396,467088,471901,476620,481323,485848,490453,494907,499357,503853,508225,512769,517022,521283,525531,529788,
52470,0,0,0,0,0,0,0,0,0,2,4,12,26,57,109,196,336,548,839,1221,1680,2254,2975,3797,4761,5864,7205,8653,10213,11979,13926,15974,18188,20590,23127,25884,28801,31769,34942,38228,41724,45255,48973,52802,56730,60757,64825,68938,73192,77564,81921,86438,90925,95419,99970,104479,109171,113934,118743,123561,128357,133209,138141,142931,147878,152876,157840,162702,167602,172403,177263,182022,186836,191708,196492,201307,206162,210934,215686,220453,225278,230147,234848,239582,244291,248925,253536,258146,262778,267325,271861,276412,280993,285509,289979,294482,298831,303270,307616,311980,316192,320412,324661,328800,333050,337162,341380,345448,349509,353499,357422,361304,365346,369313,373220,377009,380856,384787,388535,
52480,0,0,0,0,0,0,0,0,0,0,0,0,1,3,15,23,45,72,117,196,308,461,651,857,1153,1454,1857,2316,2873,3507,4193,5061,5887,6948,8064,9291,10551,11863,13360,14923,16518,18213,20043,22022,24009,26065,28192,30396,32777,35177,37659,40199,42702,45406,48145,50965,53805,56771,59658,62701,65660,68758,71957,75058,78226,81474,84730,88091,91356,94615,97931,101366,104860,108272,111746,115059,118467,121858,125311,128777,132168,135599,139111,142635,146105,149578,153178,156686,160152,163576,167012,170372,173665,177033,180376,183882,187378,190750,194115,197593,201077,204412,207832,211176,214511,217865,221216,224527,227734,230990,234261,237530,240743,243989,247276,250321,253548,256712,259856,
52490,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,8,15,29,47,80,113,165,240,318,423,546,714,905,1129,1396,1682,2054,2438,2890,3437,4019,4618,5288,5968,6736,7570,8499,9411,10459,11545,12704,13872,15090,16447,17777,19139,20586,22073,23594,25159,26781,28382,30179,31963,33795,35683,37566,39492,41511,43479,45486,47611,49670,51831,53914,56093,58247,60488,62767,65112,67339,69650,71977,74335,76686,79110,81498,83860,86359,88725,91156,93646,96111,98493,100946,103468,105835,108313,110811,113389,115888,118303,120831,123296,125784,128280,130764,133289,135795,138268,140766,143322,145734,148193,150723,153222,155691,158135,160577,163071,165446,167893,
52500,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,4,4,7,15,30,42,58,89,113,153,193,254,324,417,526,649,786,931,1089,1274,1510,1758,2032,2370,2689,3059,3456,3832,4283,4798,5326,5853,6431,7050,7666,8341,9063,9831,10556,11338,12174,13030,13915,14756,15671,16609,17636,18644,19691,20850,21949,23046,24223,25390,26620,27816,29089,30309,31561,32847,34189,35553,36865,38287,39714,41118,42557,43973,45519,46991,48530,50023,51483,53091,54695,56230,57848,59435,60996,62618,64191,65854,67537,69162,70823,72584,74233,75869,77488,79175,80885,82562,84247,85889,87628,89305,91002,92661,94372,
52510,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,9,15,18,24,36,48,68,91,114,147,192,232,280,356,415,484,565,667,767,873,991,1108,1263,1413,1564,1754,1955,2159,2408,2658,2907,3177,3471,3770,4074,4390,4756,5157,5550,5955,6356,6793,7233,7703,8171,8650,9202,9763,10285,10837,11419,11993,12588,13203,13873,14493,15119,15809,16480,17147,17819,18529,19278,20030,20826,21638,22374,23162,23938,24773,25581,26423,27280,28148,28979,29812,30746,31610,32466,33370,34237,35139,36077,36980,37945,38901,39887,40846,41784,
52520,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,4,7,8,12,16,19,29,32,38,47,60,68,80,97,109,128,153,177,207,229,267,297,325,359,415,466,523,585,654,711,804,897,984,1089,1185,1302,1399,1513,1625,1759,1893,2017,2158,2308,2457,2611,2796,2968,3132,3317,3503,3737,3930,4138,4365,4600,4830,5063,5317,5598,5834,6082,6345,6621,6905,7174,7456,7766,8046,8363,8683,8995,9333,9689,10026,10408,10730,11076,11437,11801,
5253499,39417,162990,324048,487109,637271,771291,888657,991874,1081582,1161251,1232095,1295759,1352314,1403648,1449898,1491824,1530483,1565531,1598002,1627736,1655301,1680803,1704457,1726506,1747251,1766458,1784657,1801763,1817929,1832906,1847327,1860819,1873867,1886286,1897762,1908643,1919011,1929282,1938893,1947930,1956601,1964773,1972798,1980328,1987648,1994595,2001597,2008075,2014480,2020515,2026325,2032061,2037510,2042754,2047919,2052779,2057628,2062260,2066824,2071233,2075454,2079619,2083512,2087284,2091071,2094670,2098121,2101551,2104977,2108252,2111417,2114464,2117399,2120257,2123099,2125853,2128461,2131192,2133763,2136284,2138638,2140954,2143326,2145686,2147901,2150109,2152216,2154235,2156245,2158194,2160190,2162054,2163947,2165777,2167531,2169300,2170994,2172723,2174396,2175987,2177588,2179204,2180708,2182193,2183690,2185099,2186525,2187901,2189342,2190642,2191976,2193279,2194502,2195719,2196962,2198151,2199300,2200515,2201668,
52547,4561,39170,112137,208248,313581,418748,519707,614359,701762,781751,855703,923185,985456,1042204,1094852,1143451,1188324,1229689,1268334,1304582,1338367,1369901,1399584,1427143,1453067,1477623,1500672,1522293,1542948,1562696,1581130,1598879,1615575,1631641,1646918,1661405,1674995,1688408,1701173,1713267,1724894,1735972,1746717,1757044,1766836,1776498,1785709,1794731,1803283,1811543,1819538,1827239,1834673,1841767,1848798,1855440,1861989,1868397,1874534,1880537,1886364,1892044,1897519,1902831,1907869,1912985,1917830,1922575,1927296,1931718,1936131,1940367,1944531,1948544,1952597,1956435,1960209,1963824,1967368,1970860,1974315,1977676,1980939,1984244,1987309,1990418,1993345,1996248,1999140,2001993,2004815,2007466,2010138,2012714,2015303,2017806,2020240,2022689,2025023,2027302,2029526,2031793,2033879,2035990,2038093,2040066,2042098,2044061,2046084,2048050,2049834,2051724,2053561,2055326,2057081,2058712,2060438,2062156,2063806,
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52560,65,2227,13197,37725,75259,123034,177495,235042,294167,353829,412056,468259,522951,575577,625126,672403,717759,760599,801206,839693,876539,911403,944777,976267,1006207,1034661,1062207,1088298,1113403,1137409,1160505,1182373,1203282,1223333,1242345,1261002,1278916,1296070,1312432,1328282,1343494,1358138,1372209,1385887,1399271,1412209,1424413,1436501,1447933,1459090,1469869,1480241,1490499,1500474,1510028,1519289,1528411,1537002,1545660,1553990,1562116,1569863,1577432,1584655,1591853,1599090,1605968,1612593,1619088,1625442,1631614,1637670,1643612,1649467,1655176,1660649,1666193,1671476,1676620,1681682,1686497,1691378,1696118,1700828,1705398,1709684,1714037,1718365,1722440,1726644,1730683,1734597,1738555,1742380,1746142,1749829,1753451,1757022,1760463,1763871,1767187,1770497,1773763,1776903,1779930,1783008,1785899,1788726,1791722,1794670,1797401,1800177,1802832,1805471,1808087,1810611,1813153,1815790,1818200,
52570,4,166,1836,7851,20241,40013,66228,97866,133267,171192,211112,252044,293258,334015,374060,414130,452752,490331,526568,562090,596133,629104,660732,691641,721294,749653,777204,803672,829010,853248,877270,900029,921922,943144,963497,983316,1002151,1020337,1038268,1055447,1071960,1088171,1103831,1118938,1133713,1147972,1161824,1175101,1188102,1200529,1212797,1224635,1236240,1247405,1258409,1269042,1279360,1289453,1299213,1308762,1318122,1327319,1336174,1344849,1353330,1361566,1369719,1377583,1385158,1392572,1399932,1406938,1413802,1420691,1427354,1433926,1440228,1446604,1452682,1458604,1464501,1470161,1475819,1481394,1486795,1492160,1497409,1502535,1507488,1512376,1517259,1522121,1526746,1531368,1536023,1540444,1544874,1549051,1553138,1557233,1561286,1565130,1569002,1572623,1576314,1580044,1583685,1587269,1590860,1594305,1597779,1601091,1604368,1607590,1610768,1613842,1616942,1620055,1622989,
52580,0,27,442,2480,8017,17835,32339,51706,74888,101719,130698,161450,193571,226394,259355,292678,325652,358321,390320,421729,452605,482504,511797,540158,567647,594789,620797,646250,670951,694424,717491,739708,761163,782150,802558,822421,841674,859962,877755,895243,912054,928684,944658,960126,975290,989991,1004282,1018249,1031646,1044536,1057188,1069518,1081604,1093573,1105009,1116139,1127160,1137841,1148342,1158470,1168471,1178099,1187486,1196711,1205679,1214470,1223133,1231377,1239422,1247409,1255252,1262896,1270378,1277706,1284960,1291910,1298803,1305642,1312177,1318737,1325037,1331147,1337193,1343087,1348935,1354689,1360352,1365994,1371378,1376725,1381904,1387266,1392276,1397270,1402127,1407002,1411620,1416320,1420984,1425510,1430063,1434472,1438581,1442697,1446780,1450798,1454737,1458736,1462713,1466534,1470324,1473987,1477587,1481273,1484781,1488253,1491735,1494953,1498328,
52590,0,4,67,590,2348,6202,13002,22876,35955,51949,70715,91179,113675,137401,162226,187691,213281,239550,265792,292065,317748,343443,368799,393560,417987,441933,465690,488732,511199,533170,554593,575354,595611,615390,634743,653730,672366,690096,707691,724668,741501,757912,773551,788979,804103,818710,832895,846987,860648,874169,887070,899828,912295,924289,935965,947402,958694,969683,980316,990727,1000970,1011041,1020744,1030333,1039575,1048763,1057666,1066516,1075149,1083455,1091839,1099882,1107895,1115792,1123204,1130723,1138055,1145344,1152507,1159326,1166085,1172757,1179208,1185633,1191837,1198092,1204120,1210087,1215905,1221715,1227354,1232881,1238266,1243613,1248851,1254006,1259132,1264160,1269029,1273834,1278548,1283304,1287894,1292443,1296753,1301155,1305504,1309774,1314023,1318119,1322281,1326266,1330351,1334275,1338160,1341976,1345723,1349454,1353041,
52600,0,1,6,85,452,1586,3798,7643,13343,21027,30581,41991,55190,69759,85762,102640,120338,138920,157953,177679,197494,217284,237408,257435,277532,297280,316905,336559,355741,374858,393670,412410,430460,448269,465750,483002,499827,516455,532563,548393,563919,579165,594266,608760,623152,637259,651054,664782,678035,691101,703602,715978,727976,740038,751524,762837,773997,784906,795625,806067,816223,826178,836040,845904,855419,864768,873815,882890,891937,900487,909074,917257,925244,933206,941018,948566,956089,963544,970818,978096,985080,991938,998775,1005533,1012159,1018683,1024899,1031148,1037345,1043265,1049173,1055107,1060868,1066569,1072149,1077682,1082988,1088338,1093563,1098746,1103737,1108702,1113684,1118405,1123231,1127984,1132564,1137195,1141725,1146028,1150451,1154772,1159013,1163166,1167279,1171416,1175530,1179464,1183264,
52610,0,0,0,9,45,201,670,1663,3485,6147,9894,14799,20789,27997,36180,45407,55439,66390,78122,90466,103075,116550,130420,144659,159150,173506,188121,202771,217341,232079,246940,261694,276176,290822,305177,319352,333671,347445,361196,375104,388560,401604,414746,427773,440534,453138,465372,477436,489276,501226,512994,524244,535497,546667,557526,568187,578539,588757,598943,608890,618752,628408,637977,647229,656360,665345,674215,683158,691777,700251,708506,716715,724850,732890,740617,748272,755809,763288,770563,777731,784644,791707,798662,805492,812019,818533,824934,831314,837515,843697,849587,855548,861483,867333,873193,878854,884369,889784,895152,900429,905566,910764,915708,920898,925845,930671,935452,940157,944856,949546,954047,958654,963152,967548,971776,976046,980313,984539,988701,
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527220,7621,52907,136968,239889,348197,453807,553148,644435,727907,804241,873546,937328,995314,1048253,1096900,1142251,1184031,1222861,1258775,1292204,1323433,1352613,1380039,1405697,1429712,1452570,1473941,1494272,1513288,1531427,1548407,1564650,1580426,1595257,1609463,1623097,1636267,1648590,1660435,1671681,1682516,1693025,1703196,1712839,1722411,1731382,1740033,1748266,1756456,1764284,1771815,1779024,1786111,1792863,1799601,1806075,1812323,1818448,1824294,1829910,1835431,1840864,1846113,1851115,1856167,1860922,1865644,1870245,1874703,1879025,1883174,1887327,1891283,1895226,1899084,1902874,1906498,1909920,1913332,1916644,1920019,1923323,1926454,1929573,1932602,1935577,1938551,1941316,1944046,1946757,1949429,1952142,1954692,1957138,1959661,1962104,1964432,1966802,1969072,1971333,1973521,1975703,1977875,1979918,1981936,1983923,1985822,1987816,1989724,1991637,1993513,1995339,1997160,1998859,2000634,2002362,2004020,2005626,2007275,
52731,1670,19069,64127,130748,208985,291958,374407,454501,530305,601910,668209,730351,787736,841265,890429,936829,980586,1021097,1059106,1094555,1127473,1159383,1188846,1216585,1242881,1267735,1291435,1313952,1335085,1355135,1374655,1392827,1410244,1426821,1442722,1457796,1472277,1486380,1499924,1512922,1525346,1537421,1549117,1560344,1571181,1581603,1591591,1601269,1610625,1619518,1628146,1636603,1644784,1652651,1660342,1667802,1674999,1682035,1688967,1695650,1702010,1708218,1714305,1720349,1726174,1731782,1737192,1742518,1747715,1752828,1757743,1762421,1767044,1771551,1776069,1780429,1784780,1789010,1793019,1796965,1800834,1804563,1808337,1811994,1815568,1819106,1822487,1825850,1829292,1832574,1835645,1838712,1841766,1844759,1847674,1850544,1853380,1856144,1858911,1861481,1864115,1866764,1869332,1871839,1874263,1876656,1878987,1881310,1883605,1885853,1887972,1890163,1892216,1894294,1896386,1898450,1900421,1902408,1904314,
52740,169,4361,21369,54216,100245,155118,214289,275702,336990,396860,455043,510560,563452,614072,661344,706222,748932,789381,827457,863444,897855,930369,961015,990424,1018457,1045077,1070381,1094343,1117167,1139160,1160331,1180192,1199508,1217880,1235541,1252439,1268649,1284273,1299326,1313734,1327916,1341474,1354468,1367131,1379218,1390906,1402115,1412935,1423588,1433890,1443907,1453424,1462798,1471770,1480658,1489309,1497562,1505777,1513573,1521138,1528661,1535882,1542944,1549685,1556286,1562845,1569081,1575254,1581394,1587316,1593084,1598741,1604294,1609687,1614938,1620086,1625220,1630196,1635081,1639733,1644295,1648797,1653115,1657449,1661736,1665842,1669918,1673811,1677687,1681557,1685311,1689087,1692683,1696220,1699715,1702975,1706348,1709680,1713010,1716168,1719273,1722295,1725329,1728230,1731150,1734076,1736861,1739723,1742453,1745072,1747722,1750307,1752827,1755342,1757813,1760247,1762713,1765096,1767463,
52750,9,483,3988,14171,32642,58890,91287,128440,168707,210937,253884,296462,338918,380492,421087,460441,498446,535166,570761,604697,637091,668377,698215,726809,754571,781088,806756,831349,854628,877381,899213,920126,940455,959905,978633,996806,1014166,1031144,1047462,1063289,1078664,1093494,1107720,1121627,1135023,1147821,1160282,1172661,1184337,1195937,1207176,1217915,1228564,1238738,1248980,1258742,1268120,1277250,1286278,1294940,1303476,1311698,1319733,1327468,1335201,1342807,1350146,1357491,1364368,1370951,1377607,1384240,1390655,1396923,1403159,1409195,1414989,1420669,1426348,1431783,1437163,1442432,1447679,1452822,1457856,1462718,1467372,1472118,1476647,1481245,1485645,1489930,1494170,1498345,1502463,1506487,1510468,1514436,1518344,1522256,1525934,1529555,1533152,1536734,1540181,1543611,1547000,1550398,1553653,1556897,1559924,1563062,1566108,1569153,1572154,1574961,1577891,1580710,1583579,
52760,0,107,1290,5397,14654,29423,49983,75040,103713,135292,168296,202692,237357,272242,306696,341005,374550,407240,439500,470472,500567,529757,558250,585692,612137,637668,662181,686076,709177,731427,753180,773986,794211,813947,832853,850872,868426,885705,902238,918197,933738,948886,963620,977748,991584,1004859,1017913,1030730,1042951,1054889,1066496,1077928,1089098,1099791,1110021,1120339,1130291,1139930,1149385,1158688,1167760,1176465,1185065,1193251,1201357,1209219,1216945,1224574,1231874,1239121,1246264,1253175,1259903,1266661,1273250,1279541,1285765,1291775,1297799,1303716,1309467,1315160,1320727,1326094,1331620,1336720,1341897,1347035,1352124,1356835,1361603,1366297,1370922,1375429,1379936,1384411,1388850,1393056,1397156,1401295,1405454,1409390,1413170,1416898,1420613,1424433,1428049,1431593,1435205,1438677,1442104,1445556,1448831,1452151,1455458,1458707,1461888,1464911,1468003,
52770,0,13,260,1588,5197,12084,22874,37666,55646,76420,99374,124146,150214,176937,204111,231702,259683,287215,314594,341512,368103,394075,419386,444049,468042,491878,514982,536961,558600,579711,600045,619667,639179,658024,676426,694228,711539,728349,744706,760865,776247,791546,806289,820570,834324,847675,860808,873729,886159,898329,910389,922154,933329,944561,955574,965940,976066,986022,995688,1005218,1014510,1023646,1032638,1041398,1049860,1058214,1066281,1074219,1082019,1089761,1097251,1104582,1111760,1118703,1125623,1132435,1139117,1145548,1151959,1158260,1164471,1170531,1176479,1182238,1188131,1193809,1199344,1204859,1210088,1215135,1220157,1225246,1230067,1234872,1239618,1244265,1248955,1253471,1257915,1262400,1266722,1270995,1275201,1279367,1283502,1287432,1291409,1295361,1299242,1303034,1306704,1310458,1314053,1317653,1321126,1324515,1328026,1331380,1334648,
52780,0,2,41,322,1311,3691,8039,14746,23940,35451,49037,64623,81544,99813,118998,139120,159630,180906,202255,223590,244821,266027,287150,308061,328742,348976,368867,388340,407699,426617,445429,463656,481195,498742,515906,532650,548641,564481,580042,595251,610093,624597,638620,652547,666082,679329,692241,704701,716907,729118,740831,752220,763544,774636,785338,795971,806375,816454,826288,835948,845582,854705,863984,872993,881769,890358,898650,906831,914803,922693,930462,937981,945398,952796,960045,967100,974025,980745,987366,993850,1000323,1006639,1012755,1018828,1024864,1030779,1036647,1042366,1047995,1053495,1058915,1064207,1069549,1074661,1079679,1084596,1089419,1094170,1098857,1103574,1108334,1112754,1117246,1121595,1126049,1130275,1134632,1138819,1142815,1146914,1150873,1154833,1158809,1162654,1166420,1170171,1173864,1177452,1181120,
52790,0,0,2,31,196,725,2002,4218,7698,12619,18958,26621,35647,45930,57257,69766,82971,96988,111060,126086,141270,156583,172409,188390,204264,220110,235958,251797,267624,283034,298297,313629,328638,343292,357961,372181,386317,400430,414266,427740,441069,454307,467069,479779,492327,504756,516517,528508,540044,551584,562592,573529,584207,594689,604966,615018,624883,634720,644365,653716,663020,672183,681068,689920,698357,706685,714984,723152,731208,739115,746842,754282,761765,769007,776309,783444,790311,797206,803998,810653,817219,823611,829933,836158,842182,848174,854106,860020,865640,871143,876744,882166,887615,892884,898046,903260,908320,913434,918253,923134,927889,932627,937174,941850,946380,950846,955271,959723,963904,968137,972269,976318,980497,984460,988452,992325,996145,999984,1003787,
52800,0,0,0,3,33,201,655,1550,3245,5713,9108,13521,18777,25087,32397,40440,49336,58941,69103,80116,91403,103073,115298,127657,140420,153271,166052,179009,192094,205323,218265,231201,244041,256828,269794,282452,294805,307093,319273,331398,343331,355344,366997,378476,389714,400913,411803,422603,433180,443631,454053,464293,474432,484217,494073,503669,513031,522401,531573,540537,549276,557948,566450,574991,583312,591527,599545,607448,615222,622944,630597,638109,645364,652537,659475,666395,673348,680043,686728,693309,699765,706110,712373,718614,724742,730631,736589,742324,748053,753693,759135,764494,769836,775281,780418,785729,790885,796052,801126,806003,810760,815559,820250,824880,829353,833805,838417,842766,846977,851294,855471,859643,863843,868002,871978,875857,879700,883544,887270,
52810,0,0,0,0,8,57,173,480,1072,2083,3588,5659,8490,11923,16091,20838,26277,32437,39164,46306,54120,62426,71004,79740,88875,98491,108234,118209,128289,138507,148822,159078,169442,179859,190343,200815,211123,221508,231732,241949,251971,261903,271821,281878,291853,301752,311404,320921,330448,339947,349182,358330,367291,376284,385149,393742,402528,410998,419471,427840,436108,444071,451987,459906,467550,475156,482524,490050,497237,504467,511555,518482,525375,532224,539047,545673,552273,558715,565045,571371,577675,583751,589761,595756,601724,607539,613228,618810,624351,629933,635313,640469,645822,651037,656100,661133,666191,671120,676023,680842,685716,690441,695159,699614,704042,708411,712797,717129,721478,725752,729890,734128,738142,742239,746315,750211,754119,757972,761787,
52820,0,0,0,0,0,1,25,80,220,520,1028,1841,2935,4411,6376,8760,11554,14705,18406,22599,27100,32236,37566,43404,49380,55749,62451,69338,76543,83779,91231,98655,106343,114168,122010,129857,137959,145994,154186,162441,170701,178888,187037,195291,203437,211523,219598,227613,235628,243694,251612,259540,267399,275116,282673,290296,297715,305125,312616,319910,326905,334075,341074,347968,355055,362050,368870,375678,382220,388823,395348,401583,407843,414133,420424,426610,432643,438605,444581,450313,455928,461685,467250,472873,478388,483843,489229,494484,499790,504992,510033,515107,520051,524902,529630,534596,539390,544162,548851,553441,558038,562445,566902,571235,575502,579828,584154,588228,592388,596560,600648,604662,608605,612701,616643,620497,624224,627976,631651,
52830,0,0,0,0,0,0,4,7,25,98,222,443,782,1281,1976,2864,4006,5410,7120,9118,11326,13930,16717,19789,23167,26903,30862,34995,39217,43736,48402,53445,58503,63820,69153,74486,80031,85710,91537,97241,103159,109169,115196,121197,127366,133442,139581,145827,151933,158144,164168,170345,176444,182726,188782,194937,200933,206969,213095,219086,224982,230855,236699,242505,248401,254240,259942,265728,271343,277142,282754,288406,293889,299393,304711,309998,315339,320650,325910,330951,336174,341215,346195,351226,356089,360996,365771,370657,375467,380051,384749,389194,393835,398420,402937,407421,411870,416269,420562,424711,428872,433038,437119,441146,445164,449155,453152,457162,461062,464937,468682,472417,476120,479794,483485,487159,490719,494240,497720,
52840,0,0,0,0,0,0,0,1,3,13,26,62,133,230,380,607,926,1356,1915,2636,3451,4374,5484,6777,8209,9887,11699,13761,15968,18185,20594,23145,25970,28880,31983,35113,38444,41812,45229,48808,52497,56342,60318,64270,68172,72205,76286,80465,84626,88899,93190,97590,101945,106312,110693,115130,119615,124203,128746,133131,137623,142232,146780,151288,155685,160056,164444,168859,173291,177653,182014,186466,191048,195332,199770,204128,208370,212570,216708,220874,225030,229200,233340,237291,241484,245654,249690,253746,257735,261806,265685,269599,273449,277317,281192,285028,288639,292404,296116,299750,303396,306919,310458,314076,317559,320931,324432,327935,331391,334814,338165,341535,344861,348198,351486,354713,357905,361185,364380,
52850,0,0,0,0,0,0,0,0,0,0,2,6,14,23,63,105,169,283,446,668,939,1253,1639,2081,2646,3283,4020,4861,5735,6785,7897,9091,10467,11821,13387,15040,16753,18577,20528,22525,24614,26793,29021,31439,33792,36351,38901,41562,44257,46908,49748,52502,55315,58159,60958,63901,66872,69830,72995,76116,79195,82287,85449,88559,91767,95043,98305,101565,104857,108115,111467,114620,117955,121067,124360,127543,130774,134038,137248,140521,143744,146985,150215,153333,156594,159815,163032,166124,169286,172467,175532,178690,181832,184940,187950,191116,194236,197333,200377,203411,206467,209551,212622,215553,218485,221458,224327,227241,230281,233098,235929,238720,241635,244457,247201,249959,252742,255423,258181,
52860,0,0,0,0,0,0,0,0,0,0,0,2,2,8,10,17,29,43,60,98,147,212,295,403,539,690,893,1132,1387,1716,2063,2477,2904,3458,4011,4641,5293,6060,6873,7712,8691,9640,10669,11736,12846,14009,15220,16525,17874,19305,20757,22200,23774,25339,26973,28605,30250,32008,33721,35554,37388,39246,41157,43006,44946,46929,48923,51001,52916,55040,57135,59229,61340,63426,65574,67670,69855,71980,74239,76422,78593,80799,83046,85285,87548,89776,92047,94247,96514,98757,101048,103292,105565,107769,110039,112231,114552,116726,118958,121166,123526,125766,128032,130280,132640,134872,137062,139281,141536,143697,145847,148043,150172,152356,154496,156620,158733,160887,163036,
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53780,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,8,13,20,29,36,51,67,93,120,151,196,234,285,348,423,513,596,700,812,949,1097,1246,1429,1639,1845,2058,2280,2541,2792,3042,3310,3591,3931,4239,4597,4963,5311,5722,6115,6558,6998,7426,7870,8334,8826,9339,9864,10382,10862,11369,11926,12441,13021,13594,14106,14689,15303,15879,16500,17104,17719,18300,18922,19589,20195,20852,21531,22196,22903,23566,24247,24972,25637,26319,27040,27722,28401,29094,29833,30535,31214,31936,32726,33424,34140,34854,35564,36303,37048,37768,38497,39177,39920,40621,41369,42086,
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538019,6831,49349,129565,228875,333294,435262,531106,619728,700972,774618,841492,902701,958542,1009465,1056416,1099476,1139044,1175826,1210101,1241811,1271045,1298644,1324407,1348390,1371225,1392395,1412449,1431374,1449136,1465817,1481718,1496669,1511209,1524859,1537837,1549911,1561654,1572988,1583794,1594304,1604232,1613635,1622838,1631697,1640144,1648152,1656059,1663557,1670640,1677632,1684315,1690674,1696938,1702976,1708768,1714511,1719979,1725229,1730488,1735469,1740402,1745140,1749676,1754192,1758551,1762734,1766742,1770652,1774516,1778194,1781798,1785297,1788842,1792310,1795506,1798550,1801631,1804621,1807599,1810465,1813338,1816132,1818842,1821461,1823962,1826444,1828873,1831270,1833549,1835831,1838078,1840387,1842483,1844580,1846660,1848658,1850712,1852602,1854517,1856348,1858167,1859947,1861699,1863377,1865085,1866795,1868440,1870082,1871663,1873201,1874762,1876233,1877655,1879144,1880562,1881918,1883245,1884586,1885964,
53811,1563,18195,61276,124901,200511,280094,359558,436591,509320,577600,641112,700266,755218,805810,852748,896478,937153,975210,1010999,1044222,1075307,1104349,1131718,1157793,1182196,1205134,1226947,1247628,1267173,1286002,1303670,1320225,1336042,1351078,1365597,1379399,1392767,1405461,1417642,1429260,1440467,1450983,1461171,1471041,1480474,1489632,1498396,1507070,1515451,1523235,1530978,1538267,1545419,1552344,1559119,1565609,1571737,1577778,1583649,1589303,1594753,1600151,1605474,1610616,1615477,1620443,1625242,1629818,1634213,1638397,1642573,1646556,1650578,1654447,1658211,1661839,1665497,1668961,1672440,1675792,1679187,1682392,1685456,1688491,1691550,1694462,1697257,1700112,1702839,1705479,1708106,1710670,1713233,1715641,1718022,1720376,1722687,1724955,1727185,1729363,1731494,1733600,1735629,1737644,1739696,1741589,1743488,1745377,1747269,1749166,1750874,1752613,1754326,1755962,1757617,1759220,1760819,1762359,1763918,
53820,188,4426,20992,53018,97692,150444,207252,266268,324879,381878,436830,489460,539259,586354,631197,673271,713020,750391,785551,819088,850530,880608,908790,935747,961126,985015,1007854,1029661,1050489,1070326,1089255,1107106,1124423,1140925,1156853,1171870,1186296,1200261,1213472,1226192,1238512,1250301,1261732,1272854,1283654,1293741,1303564,1313061,1322272,1331201,1339728,1348135,1356454,1364145,1371644,1379085,1386263,1393233,1399874,1406215,1412562,1418756,1424703,1430343,1435887,1441385,1446696,1452109,1457188,1462130,1466970,1471800,1476387,1480927,1485226,1489524,1493740,1497745,1501769,1505510,1509189,1512894,1516641,1520154,1523661,1527067,1530283,1533654,1536874,1540022,1543081,1546089,1548979,1551787,1554609,1557456,1560116,1562681,1565237,1567796,1570319,1572697,1575093,1577485,1579779,1582045,1584280,1586498,1588661,1590798,1592833,1594851,1596853,1598830,1600795,1602694,1604536,1606346,1608209,
53830,13,604,4499,15145,34052,60509,92509,128955,167922,208082,248950,289411,329338,368385,406258,443200,478168,512036,544447,575455,605247,633830,660948,686930,711657,735251,757990,779965,800633,820594,839916,858597,876477,893558,910068,926144,941463,956141,970522,984118,997221,1009869,1022271,1034343,1045925,1057013,1067782,1078090,1088180,1097931,1107318,1116521,1125355,1133897,1142289,1150240,1158105,1165854,1173379,1180623,1187598,1194391,1201216,1207729,1214116,1220183,1226232,1232292,1238000,1243561,1248890,1254245,1259446,1264405,1269375,1274275,1279002,1283653,1288135,1292654,1296921,1301092,1305211,1309304,1313261,1317097,1320988,1324738,1328335,1331908,1335331,1338766,1342078,1345368,1348570,1351798,1354909,1357963,1361017,1363923,1366718,1369536,1372327,1375043,1377733,1380443,1382939,1385408,1387955,1390339,1392857,1395223,1397560,1399879,1402258,1404485,1406694,1408855,1410983,
53840,1,135,1519,6432,16506,32428,53542,79414,108084,138776,171185,204067,237479,270573,303092,334917,366337,396621,426110,454340,481855,508182,533486,557938,581764,604852,626599,647659,668152,687833,706983,725108,742456,759627,776054,791898,807197,821891,836148,849769,863231,876111,888593,900579,912177,923658,934608,945408,955731,965645,975486,985052,994142,1003176,1011810,1020240,1028447,1036427,1044106,1051579,1058757,1065842,1072815,1079672,1086228,1092853,1099429,1105646,1111759,1117581,1123248,1128721,1134124,1139448,1144600,1149821,1154811,1159723,1164362,1168872,1173536,1178032,1182281,1186661,1190893,1195053,1198962,1202879,1206779,1210613,1214356,1217926,1221469,1224813,1228332,1231724,1234979,1238232,1241513,1244664,1247661,1250592,1253486,1256380,1259296,1262125,1264904,1267560,1270200,1272903,1275423,1277972,1280474,1283044,1285467,1287853,1290180,1292449,1294702,
53850,0,31,422,2165,6673,14815,27016,42543,61165,82567,105926,130642,156254,182344,208613,235018,261001,286856,312342,337151,361142,384676,407702,430113,451759,472832,493255,513176,532053,550689,568468,585956,602842,619019,634863,650294,665240,679537,693358,706976,720339,733162,745461,757416,769078,780299,791277,801917,812412,822596,832511,841914,851374,860529,869310,878052,886423,894524,902352,910211,917816,925177,932385,939471,946283,952862,959332,965719,971941,978081,983956,989664,995339,1000830,1006095,1011338,1016561,1021696,1026915,1031756,1036629,1041231,1045826,1050172,1054532,1058926,1063289,1067545,1071596,1075517,1079361,1083167,1086800,1090482,1094051,1097674,1101055,1104413,1107789,1111007,1114308,1117355,1120507,1123641,1126582,1129539,1132418,1135266,1138093,1140850,1143630,1146451,1149014,1151577,1154044,1156604,1159166,1161615,1163971,
53860,0,3,68,543,2126,5498,11222,19522,30097,43133,57942,74362,91961,110521,129707,149637,169645,190094,210231,230471,250607,270444,289970,309276,328124,346298,364062,381619,398793,415814,432293,448304,463828,478797,493529,507674,521627,535370,548764,561522,574047,586204,598176,610011,621113,632203,642950,653433,663487,673393,683096,692400,701639,710588,719152,727770,735872,744026,752033,759904,767284,774672,781991,789034,795985,802614,809232,815628,821960,828150,834225,840120,845844,851484,857159,862570,868102,873287,878314,883211,888063,892828,897488,902092,906623,911009,915385,919614,923874,928019,932147,936208,940138,943933,947582,951258,954744,958364,961949,965379,968698,972039,975308,978558,981703,984803,987934,991050,993985,996840,999713,1002567,1005363,1008184,1010796,1013430,1016015,1018522,1021030,
53870,0,1,9,102,463,1461,3450,6898,11706,18145,26078,35391,45939,57528,70141,83745,97657,111923,126485,141248,156312,171631,186947,201783,216871,231878,246513,261257,275508,289923,303785,317544,331080,344238,356976,369622,381887,394011,405859,417491,428893,439927,450677,461365,471849,482046,492004,501871,511510,520865,530079,539011,547729,556205,564500,572770,580827,588643,596256,603649,610920,618103,625127,632083,638666,645148,651878,658122,664334,670343,676307,682002,687695,693373,698971,704323,709576,714752,719897,724779,729661,734388,739116,743767,748409,752871,757185,761478,765790,769926,774018,778061,781951,785722,789521,793341,797058,800687,804155,807702,811098,814507,817882,821277,824531,827706,830869,833980,836988,839953,842907,845866,848708,851614,854400,857049,859733,862386,865002,
53880,0,0,2,16,147,550,1449,3047,5689,9416,14266,20148,27174,34967,43856,53531,63951,74714,85965,97506,109619,121922,134365,146767,159200,171700,184070,196728,209241,221288,233347,245356,257154,268888,280479,291724,302862,313920,324503,335014,345441,355584,365561,375409,385015,394476,403809,412961,421865,430559,439006,447280,455475,463546,471555,479146,486699,494074,501422,508552,515527,522519,529200,535862,542457,548863,555193,561419,567470,573353,579144,584935,590496,595997,601384,606776,611987,617062,622143,627043,631660,636412,641098,645560,650028,654405,658853,663137,667416,671531,675627,679655,683590,687472,691255,694951,698699,702312,705902,709428,712819,716187,719516,722712,726024,729225,732371,735449,738422,741403,744364,747218,750117,752955,755742,758520,761210,763857,766552,
53890,0,0,1,6,44,159,507,1233,2381,4264,6862,10222,14415,19336,25098,31465,38537,46017,54275,62867,71811,80848,90417,100191,109993,119864,129798,139809,149867,160006,169977,179976,189834,199713,209619,219150,228838,238200,247539,256789,265890,274782,283706,292489,301199,309622,318008,326118,334321,342227,349985,357654,365474,372820,380201,387340,394465,401312,407946,414721,421275,427814,434215,440492,446494,452505,458338,464153,469977,475623,481155,486568,491976,497210,502308,507377,512396,517311,522123,526889,531557,536135,540596,545032,549428,553664,557900,562099,566233,570190,574255,578187,582014,585816,589482,593268,596942,600513,603988,607455,610968,614288,617546,620661,623813,626985,630024,632989,635888,638906,641694,644641,647438,650268,653076,655811,658445,661062,663662,
53900,0,0,0,0,1,35,136,370,824,1584,2770,4408,6613,9358,12526,16259,20582,25251,30532,36177,42134,48410,55089,61963,69173,76563,84268,91938,99729,107601,115452,123257,131215,139149,147174,155247,163346,171226,179114,186797,194533,202067,209678,217003,224447,231886,239037,246190,253274,260164,267008,273917,280624,287111,293484,299937,306163,312304,318533,324694,330594,336491,342346,347952,353599,359097,364631,369979,375401,380671,385758,390891,395726,400699,405460,410238,414995,419607,424128,428664,432911,437111,441340,445515,449691,453706,457679,461683,465609,469451,473284,476987,480646,484205,487754,491230,494662,498137,501423,504675,507975,511199,514399,517567,520603,523576,526610,529545,532466,535341,538237,541037,543855,546573,549262,551925,554540,557159,559695,
53910,0,0,0,0,2,5,26,95,228,479,903,1579,2441,3683,5277,7163,9439,12105,15113,18373,21974,25886,30160,34606,39265,44101,49185,54613,60027,65616,71313,77064,82868,88786,94828,100828,106945,113047,119089,125233,131310,137450,143550,149565,155493,161572,167593,173411,179190,184929,190742,196331,201851,207523,213156,218574,224080,229315,234761,239912,244976,250091,255156,260084,265185,270061,274880,279629,284321,288995,293502,298012,302468,306847,311181,315445,319662,323874,327945,332054,336059,340015,343947,347863,351626,355300,359031,362615,366133,369669,373193,376575,380028,383501,386984,390279,393453,396636,399746,402835,405866,408916,411904,414924,417827,420696,423497,426371,429136,431819,434491,437160,439766,442426,445047,447678,450134,452570,455020,
53920,0,0,0,0,0,0,3,16,38,87,188,390,680,1094,1699,2446,3437,4591,6068,7654,9532,11632,13895,16376,18999,21853,24898,28123,31390,34907,38523,42175,46005,49966,53930,57981,62118,66498,70883,75241,79571,84119,88561,92936,97449,101970,106592,111125,115673,120115,124555,128970,133412,137735,142099,146549,150862,155105,159348,163653,167879,171946,176069,180207,184289,188342,192422,196250,200176,204016,207916,211762,215569,219198,222901,226644,230186,233769,237308,240719,244199,247606,250811,253990,257290,260593,263898,267090,270161,273239,276360,279408,282468,285462,288421,291374,294253,297101,299892,302730,305490,308177,310895,313543,316044,318563,321083,323689,326164,328578,330983,333349,335749,338117,340487,342781,345111,347306,349555,
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54020,16,518,3884,13121,29514,52305,80151,111685,145775,181042,216574,251820,287020,321238,354731,386640,418009,447930,476692,504595,531192,556685,581034,604420,626929,648383,668918,688673,707773,726112,743766,760906,777211,792717,807786,822621,836621,849895,863423,876020,888178,899879,911244,922298,933079,943326,953469,963310,972832,982049,990940,999494,1007975,1016139,1024065,1031789,1039321,1046547,1053591,1060544,1067416,1074070,1080388,1086686,1092757,1098594,1104350,1109871,1115358,1120556,1125717,1130710,1135806,1140603,1145436,1150099,1154724,1159045,1163411,1167705,1171856,1175995,1180047,1184081,1187980,1191830,1195644,1199177,1202618,1206064,1209451,1212815,1216042,1219333,1222412,1225516,1228534,1231487,1234400,1237318,1240099,1242793,1245585,1248263,1250842,1253332,1255859,1258420,1260799,1263310,1265691,1268000,1270269,1272453,1274716,1276873,1279002,1281070,1283200,
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54800,0,0,0,0,0,1,34,95,247,534,993,1708,2702,4060,5783,7960,10437,13292,16547,20173,24125,28347,32805,37472,42530,47767,53182,58699,64383,70210,76215,82316,88462,94600,100761,106892,113020,119038,125167,131295,137347,143345,149361,155311,161123,166932,172663,178403,183892,189468,194999,200431,205724,210947,216012,221145,226237,231282,236126,240926,245622,250221,254789,259201,263618,267987,272223,276285,280338,284343,288342,292289,296058,299917,303741,307319,310980,314594,317975,321481,324849,328118,331416,334583,337756,340833,343738,346735,349705,352542,355312,358108,360801,363407,366125,368715,371316,373786,376332,378787,381111,383460,385670,387934,390231,392503,394719,396760,398760,400896,402901,404854,406820,408761,410702,412580,414434,416282,418068,
54810,0,0,0,0,0,0,2,17,55,157,332,615,1033,1657,2514,3581,4863,6427,8325,10419,12740,15347,18254,21270,24594,27967,31624,35380,39453,43451,47591,51937,56309,60814,65357,69936,74591,79242,83877,88611,93341,98070,102719,107473,112230,116863,121504,126212,130789,135367,139924,144297,148761,153075,157360,161674,165788,170035,174095,178122,182161,186002,189927,193750,197697,201498,205201,208911,212501,216148,219697,223177,226588,229985,233287,236473,239587,242717,245787,248801,251719,254632,257576,260470,263240,266008,268679,271325,274034,276690,279199,281730,284188,286674,289097,291486,293790,296053,298331,300524,302724,304929,307049,309232,311296,313366,315325,317317,319328,321219,323136,324981,326902,328715,330439,332216,333944,335763,337370,
54820,0,0,0,0,0,0,1,2,9,40,89,165,317,568,894,1330,1971,2695,3590,4615,5815,7178,8748,10570,12448,14575,16736,19050,21581,24219,27018,29983,32865,35897,39045,42244,45442,48684,51999,55383,58770,62198,65662,69229,72798,76305,79807,83308,86791,90287,93777,97285,100727,104130,107546,110925,114219,117538,120844,124225,127544,130780,133952,137122,140265,143306,146270,149239,152249,155183,158017,160907,163739,166606,169392,172114,174849,177493,180155,182872,185467,187970,190413,192828,195207,197665,199976,202311,204640,206898,209144,211341,213611,215755,217881,219905,222065,224119,226187,228084,230061,231894,233772,235624,237455,239327,241102,242923,244660,246373,248060,249759,251482,253191,254806,256493,258006,259525,261046,
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54840,0,0,0,0,0,0,0,0,0,1,1,4,16,37,82,140,227,330,450,628,903,1180,1533,1932,2413,2934,3584,4309,5113,5907,6788,7769,8829,10008,11182,12398,13674,15022,16401,17889,19447,20961,22565,24131,25746,27474,29247,31018,32794,34628,36421,38135,39895,41746,43577,45358,47271,49116,50974,52817,54738,56622,58521,60363,62247,64060,65996,67791,69662,71491,73308,75101,76959,78724,80517,82330,84042,85774,87553,89302,91037,92677,94368,96055,97751,99420,101100,102694,104309,105893,107469,109021,110526,112029,113525,114980,116440,117891,119320,120740,122156,123569,124987,126437,127690,129042,130412,131790,133098,134360,135630,136841,138024,139351,140556,141761,143000,144168,145325,
54850,0,0,0,0,0,0,0,0,0,0,1,1,2,4,12,17,37,64,98,150,213,299,405,544,701,877,1114,1407,1695,2064,2440,2851,3289,3783,4282,4886,5511,6212,6952,7688,8541,9334,10173,11013,11908,12825,13796,14874,15899,16875,17877,18966,20015,21106,22235,23368,24573,25721,26831,28071,29278,30531,31695,32909,34092,35360,36591,37800,39029,40268,41454,42652,43936,45211,46431,47681,48934,50153,51335,52533,53802,55044,56230,57482,58735,59951,61110,62303,63462,64695,65815,66913,68066,69218,70354,71500,72638,73724,74839,75945,77028,78131,79223,80282,81306,82355,83331,84298,85269,86291,87234,88251,89223,90194,91172,92103,93018,93985,94885,
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55090,49,1696,9601,26731,52806,86310,123799,164012,204775,245830,286258,325317,363121,398963,433424,466104,496924,526559,554779,581145,606529,630554,653377,675128,695666,715246,734081,751995,769182,785353,800616,815207,829354,842939,856092,868540,880551,891986,903038,913579,923821,933612,943191,952337,961118,969643,977802,985737,993232,1000614,1007581,1014586,1021183,1027619,1034013,1040134,1045982,1051728,1057180,1062644,1067825,1072838,1077617,1082474,1087054,1091646,1095936,1100181,1104361,1108431,1112317,1116106,1119857,1123499,1127000,1130303,1133655,1136970,1140158,1143138,1146240,1149085,1151992,1154873,1157644,1160324,1163048,1165675,1168204,1170717,1173015,1175433,1177776,1180065,1182308,1184520,1186650,1188649,1190671,1192706,1194622,1196489,1198431,1200203,1202094,1203848,1205619,1207297,1208964,1210669,1212157,1213783,1215367,1216871,1218338,1219764,1221249,1222679,1224127,
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55670,8,237,1883,6548,15284,27909,43683,61510,80883,101571,122628,143720,165190,185924,206486,226348,245676,264666,283096,300610,317614,334044,349793,365049,379653,393738,407311,420314,433099,445248,456872,468249,479225,489525,499643,509367,518619,527660,536418,544915,553150,561134,568868,576449,583623,590737,597500,604226,610635,616820,622855,628891,634694,640284,645751,650924,655996,660941,665842,670519,675168,679622,683977,688159,692316,696328,700142,703969,707651,711241,714807,718253,721677,724958,728214,731442,734579,737529,740553,743521,746336,749137,751809,754461,757030,759497,761992,764406,766758,769113,771405,773642,775891,778040,780173,782255,784297,786271,788240,790143,792068,793877,795710,797465,799151,800891,802602,804282,805918,807483,808966,810487,811991,813486,814864,816311,817724,819050,820416,
55680,4,104,859,3420,8703,17014,27901,41211,56410,72550,89781,107275,125019,142846,160504,178426,195764,212597,228763,244673,260300,275486,290016,304193,317749,330939,343821,355878,368021,379554,390567,401215,411655,421664,431186,440586,449691,458390,466896,475157,483214,491029,498471,505755,512726,519570,526197,532684,538900,545044,550970,556674,562201,567724,573001,578214,583272,588263,593053,597782,602364,606703,610866,615073,619000,622845,626762,630742,634512,638145,641723,645281,648683,651994,655224,658354,661460,664464,667416,670311,673137,675908,678571,681266,683889,686526,689089,691488,693878,696199,698535,700729,702943,705161,707315,709387,711417,713429,715426,717452,719270,721177,723043,724840,726643,728368,730005,731687,733397,734956,736503,738022,739535,740958,742443,743883,745263,746660,748058,
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55710,0,1,18,161,665,1793,3815,6815,10969,16159,22065,28832,36103,44096,52546,61344,70339,79380,88690,97918,107251,116602,125849,135117,144072,153099,162012,170689,179049,187366,195662,203795,211642,219265,226711,234013,241080,248133,254948,261675,268315,274650,280793,286662,292497,298097,303849,309293,314591,319826,325005,330017,334905,339563,344086,348748,353165,357518,361897,366053,370064,374110,378035,381881,385504,389108,392726,396170,399588,402992,406341,409522,412768,415915,418943,421912,424934,427784,430472,433196,435838,438510,441106,443588,446049,448443,450838,453262,455539,457762,459992,462208,464357,466450,468546,470586,472526,474417,476362,478245,480145,482066,483874,485598,487329,489052,490703,492386,493962,495518,497064,498593,500062,501496,502893,504368,505776,507173,508547,
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56170,30,1199,7248,21488,44122,73478,106989,143097,180126,217276,254211,290082,324187,357235,388779,418405,446581,473488,499170,522885,545376,566946,587071,606274,624547,641947,658315,674005,689049,703253,716726,729670,742015,753639,764921,775674,785967,795612,805035,814223,822698,831163,839109,846800,854129,861244,867882,874398,880703,886802,892679,898283,903675,909035,914181,919118,923831,928394,932821,937007,941069,944928,948884,952604,956269,959817,963262,966548,969791,972974,975896,978701,981544,984419,987149,989774,992322,994726,997110,999464,1001776,1003950,1006179,1008300,1010415,1012428,1014429,1016314,1018326,1020169,1021926,1023751,1025513,1027096,1028673,1030283,1031880,1033467,1034960,1036429,1037822,1039214,1040522,1041807,1043160,1044424,1045673,1046829,1047992,1049068,1050219,1051360,1052391,1053418,1054419,1055419,1056294,1057286,1058221,
56180,4,425,3315,11219,25447,45234,69783,97579,127088,157428,187951,218389,248017,276710,304509,331485,357207,381781,405102,427288,448309,468501,487608,506003,523328,539900,555842,570994,585536,599527,612575,625103,637192,648912,659835,670471,680532,690288,699601,708610,717320,725622,733515,741164,748496,755586,762304,768865,775217,781368,787266,792994,798608,803990,809119,814059,818854,823698,828197,832566,836663,840760,844766,848482,852177,855842,859356,862747,865946,869169,872175,875169,878040,880843,883655,886248,888879,891430,893848,896209,898573,900897,903124,905316,907407,909426,911402,913333,915219,917061,918931,920743,922543,924277,925903,927588,929132,930628,932106,933571,934975,936399,937716,939046,940374,941688,942971,944195,945408,946550,947695,948797,949816,950893,951933,952978,953997,954961,955984,
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56350,209,4053,17482,42131,75195,114117,155280,197215,238724,279009,317468,353782,388363,421057,451345,479972,507499,533200,556974,579320,600635,620258,639097,656845,673657,689831,705087,719506,733236,746094,758444,770237,781406,792097,802339,812082,821551,830661,839089,847209,855071,862675,869888,876832,883502,889996,896186,902033,907620,913205,918534,923479,928358,933272,937819,942110,946303,950442,954465,958437,962137,965686,969349,972820,976062,979235,982318,985386,988174,990973,993698,996281,998924,1001434,1003937,1006381,1008698,1010938,1013208,1015387,1017454,1019472,1021371,1023310,1025170,1026979,1028778,1030457,1032149,1033799,1035390,1037010,1038557,1040053,1041586,1042981,1044378,1045714,1047022,1048294,1049609,1050917,1052129,1053287,1054470,1055593,1056644,1057712,1058754,1059762,1060795,1061810,1062805,1063713,1064657,1065550,1066438,1067310,1068190,
56360,58,1725,9161,24893,48151,76914,109089,143329,178035,212176,245758,278176,309257,338865,366845,393444,418750,442735,465007,486384,506758,525868,543871,561184,577427,592974,607626,621518,634891,647763,659737,671412,682629,693085,703048,712634,721887,730749,739377,747374,755185,762628,769896,776736,783368,789844,796121,802088,807845,813463,818844,824069,829002,833819,838486,843050,847309,851599,855705,859673,863586,867341,870899,874379,877793,881162,884360,887392,890431,893335,896139,898835,901495,904028,906561,909046,911443,913806,916144,918305,920470,922485,924595,926594,928538,930487,932367,934083,935840,937620,939255,940908,942527,944029,945557,947075,948537,949911,951278,952689,954010,955288,956523,957743,958962,960135,961318,962457,963554,964651,965703,966741,967792,968779,969740,970696,971627,972553,973465,
56370,23,640,4138,13126,27955,47989,71526,97493,124526,152485,180506,208199,235199,260984,285918,309749,332786,354658,375459,395205,414165,432275,449300,465716,481337,496269,510411,523689,536641,548914,560801,572002,582698,592879,602672,612385,621331,629976,638417,646435,654405,661735,668805,675571,682257,688664,694983,701002,706796,712400,717794,722895,727973,732800,737439,742057,746510,750745,754858,758927,762826,766580,770323,773864,777307,780661,783981,787129,790277,793204,796093,798888,801643,804303,806860,809328,811816,814203,816454,818671,820936,823066,825089,827102,829059,830914,832827,834709,836488,838267,839942,841592,843234,844862,846463,847988,849421,850831,852265,853598,854964,856307,857621,858879,860148,861381,862620,863727,864851,865988,867064,868163,869244,870236,871207,872173,873110,874046,874964,
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56410,0,2,66,458,1548,3843,7725,13091,19848,28000,37108,47031,57661,68642,79919,91464,102951,114537,126087,137648,148860,159854,170844,181639,191923,202064,211898,221326,230712,239671,248397,256865,265059,273073,280756,288216,295461,302317,309220,315742,322104,328239,334250,340088,345877,351306,356540,361765,366764,371719,376501,381043,385663,389986,394208,398303,402367,406336,410211,413905,417494,420977,424423,427700,430872,433982,437116,440044,442991,445849,448618,451259,453940,456456,458994,461475,463877,466165,468411,470701,472802,474857,476894,478921,480878,482750,484537,486283,488050,489812,491519,493168,494803,496441,498039,499549,501003,502423,503851,505257,506570,507895,509239,510472,511790,513022,514172,515385,516620,517745,518842,520000,521057,522091,523061,524023,524983,525925,526942,
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56550,80,1831,9141,24056,45689,72059,101435,132342,163245,194121,224205,253623,281396,307870,333075,356990,380167,401949,422217,441485,459666,477027,493453,509163,524032,538127,551729,564286,576593,588325,599600,610281,620542,630347,639806,648807,657479,665584,673363,681068,688460,695204,701728,708240,714434,720432,726264,732003,737459,742705,747666,752373,757017,761491,765928,770162,774255,778288,782183,785866,789468,792944,796432,799716,802981,806046,809041,811961,814753,817554,820247,822893,825357,827817,830236,832477,834750,836956,839099,841231,843283,845285,847217,849080,850923,852771,854596,856277,857948,859540,861095,862598,864151,865617,867081,868517,869895,871272,872568,873814,875037,876240,877436,878517,879697,880825,881962,883040,884098,885197,886162,887162,888133,889090,889986,890924,891827,892685,893547,
56560,18,636,3912,12099,25493,43190,64126,87377,111626,136202,160909,185235,208801,231661,253735,275041,295565,315151,333819,351647,368775,385131,400467,415306,429500,442715,455416,467874,479698,490874,501518,511853,521782,531322,540400,549041,557386,565392,573042,580601,587821,594678,601208,607560,613717,619754,625602,631060,636456,641529,646562,651447,656106,660729,665036,669212,673314,677243,681202,684979,688641,692170,695578,698913,702128,705233,708195,711157,714016,716779,719489,722085,724737,727279,729676,732100,734391,736634,738827,740875,742959,744945,746884,748815,750679,752503,754313,756090,757770,759385,761003,762616,764255,765811,767364,768775,770168,771567,772983,774362,775640,776891,778138,779343,780537,781696,782799,783920,784972,786039,787084,788105,789055,790026,791047,791959,792909,793798,794630,
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56630,0,0,0,11,62,200,518,1096,2092,3493,5268,7510,10192,13218,16599,20277,24176,28386,32626,37168,41808,46494,51390,56281,61184,65979,70781,75577,80261,85085,89729,94333,98874,103486,107989,112295,116605,120894,125037,128999,132905,136744,140613,144366,148175,151843,155324,158741,162082,165357,168452,171622,174756,177772,180628,183488,186307,189101,191802,194461,197099,199539,202035,204456,206804,209132,211412,213630,215789,217887,219906,222012,223999,225885,227780,229625,231446,233258,234969,236728,238457,240112,241685,243319,244859,246363,247880,249376,250835,252215,253574,254943,256268,257530,258746,260001,261229,262431,263571,264674,265782,266828,267903,268983,270040,271032,272038,273064,273999,274927,275838,276762,277643,278590,279486,280313,281067,281855,282635,
56640,0,0,0,0,6,42,145,341,686,1255,2051,3099,4472,6067,7884,9967,12347,14912,17619,20394,23454,26587,29737,33009,36440,39873,43398,46926,50373,53955,57486,60997,64421,67953,71394,74748,78127,81525,84869,88165,91406,94520,97569,100585,103494,106501,109472,112389,115165,117889,120633,123192,125879,128445,130956,133438,135805,138173,140508,142790,144968,147091,149183,151211,153312,155302,157221,159144,161100,162946,164682,166466,168201,169910,171603,173269,174924,176510,178073,179590,181083,182551,183955,185382,186748,188099,189397,190758,192066,193415,194621,195812,196994,198107,199207,200367,201471,202561,203605,204700,205738,206722,207673,208664,209616,210565,211486,212353,213320,214157,215020,215838,216642,217513,218331,219081,219861,220590,221339,
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5669281,19612,83494,170927,262304,349601,428904,500256,563196,619253,669759,714803,755543,792519,825807,856204,884205,909724,933191,955067,975053,993631,1010859,1026996,1042161,1056217,1069363,1081713,1093615,1104716,1115221,1125144,1134684,1143519,1152017,1160151,1167913,1175240,1182110,1188762,1195135,1201224,1207018,1212539,1217891,1223004,1227827,1232620,1237153,1241477,1245669,1249720,1253640,1257338,1260927,1264445,1267748,1270982,1274107,1277213,1280134,1282986,1285781,1288445,1291065,1293495,1296003,1298316,1300558,1302805,1304926,1306888,1308937,1310878,1312707,1314563,1316383,1318087,1319768,1321377,1322984,1324536,1326047,1327481,1328919,1330373,1331768,1333210,1334529,1335774,1337054,1338257,1339456,1340605,1341741,1342805,1343850,1344887,1345897,1346917,1347919,1348844,1349781,1350742,1351605,1352477,1353285,1354134,1354962,1355753,1356492,1357312,1358001,1358701,1359391,1360071,1360764,1361444,1362087,1362728,
567051,7166,41083,98473,166295,235688,302305,364419,421517,473619,520530,563709,602767,638523,671453,701637,729144,755069,778758,800680,821173,840298,858005,874860,890534,905251,919022,931988,944302,955880,966895,977357,987227,996712,1005876,1014451,1022467,1030242,1037625,1044629,1051323,1057724,1063867,1069853,1075593,1081164,1086341,1091329,1096159,1100767,1105240,1109634,1113775,1117736,1121702,1125556,1129188,1132644,1135985,1139273,1142450,1145524,1148595,1151415,1154179,1156901,1159603,1162035,1164460,1166966,1169314,1171618,1173808,1175899,1178015,1180046,1181957,1183888,1185706,1187484,1189197,1190843,1192473,1194115,1195654,1197233,1198708,1200115,1201534,1202913,1204230,1205518,1206854,1208149,1209350,1210573,1211751,1212853,1213968,1215041,1216130,1217150,1218152,1219126,1220020,1220993,1221909,1222827,1223680,1224579,1225402,1226218,1226952,1227709,1228519,1229288,1230009,1230740,1231471,1232122,
56714,1838,15741,46697,89262,137721,188124,237568,284615,329649,371115,409982,445777,479235,509789,538172,564946,589755,612875,634289,654730,673565,691572,708287,724083,738645,752686,765852,778400,790280,801504,812339,822421,832064,841395,850384,858836,866923,874658,882044,889024,895684,902171,908435,914447,920171,925723,931107,936241,941137,945892,950589,954954,959146,963335,967284,971169,974784,978355,981845,985203,988567,991754,994816,997727,1000633,1003508,1006191,1008851,1011448,1013931,1016332,1018640,1020865,1023091,1025176,1027228,1029230,1031178,1033163,1035002,1036821,1038627,1040379,1042070,1043755,1045297,1046886,1048417,1049922,1051372,1052707,1054228,1055643,1056978,1058291,1059530,1060749,1061950,1063132,1064324,1065454,1066523,1067560,1068598,1069654,1070708,1071663,1072666,1073631,1074599,1075457,1076364,1077165,1077973,1078822,1079591,1080329,1081118,1081900,
56720,738,8256,28636,60020,98113,139095,180683,221860,261576,299061,334218,367628,398680,427837,455116,480212,503845,526386,547405,567228,585798,603163,619749,635221,649783,663555,676594,689079,701011,712441,723124,733457,743106,752425,761299,769808,777949,785764,793320,800451,807392,813924,820266,826336,832275,837979,843383,848602,853680,858533,863241,867819,872157,876369,880609,884553,888254,891937,895547,898996,902323,905590,908693,911684,914785,917652,920425,923177,925788,928322,930831,933273,935657,937985,940185,942440,944490,946517,948528,950425,952258,954113,955899,957612,959255,960898,962480,964119,965639,967070,968547,969978,971409,972831,974170,975456,976723,977965,979222,980396,981563,982723,983832,984922,985961,987017,988038,989050,990008,990979,991911,992842,993690,994587,995422,996248,997054,997848,998646,
56730,235,3889,15740,36529,64226,95990,129740,163624,197345,230007,261396,291230,319522,346476,371786,395399,417808,439036,459075,478333,496233,513155,528899,543904,558284,572009,584833,597033,608775,620029,630639,640926,650674,659967,668809,677241,685223,693101,700639,707796,714616,721222,727473,733638,739724,745430,750878,756199,761290,766188,770944,775626,780063,784436,788558,792596,796475,800313,803950,807492,810860,814044,817248,820376,823382,826354,829195,832017,834657,837290,839826,842371,844729,847067,849351,851653,853793,855842,857899,859930,861789,863703,865534,867336,869095,870779,872492,874171,875735,877260,878756,880193,881687,883071,884503,885846,887089,888380,889628,890830,891992,893190,894328,895438,896505,897553,898665,899662,900607,901589,902626,903549,904492,905399,906247,907099,907970,908802,909643,
56740,78,1530,7629,20037,38410,61131,86400,113346,140756,167659,194276,219996,244787,268645,291405,313080,333621,353289,371975,389465,406057,422042,437227,451650,465488,478532,490842,502763,514048,524918,535257,545264,554908,563913,572723,581038,589136,596872,604224,611363,618080,624601,630805,636880,642775,648586,654074,659447,664542,669448,674238,678791,683141,687430,691544,695502,699282,703077,706778,710431,713845,717165,720461,723682,726866,729911,732811,735517,738242,740898,743511,746062,748508,750834,753205,755447,757743,759806,761827,763932,765914,767788,769720,771542,773309,775050,776789,778418,779978,781546,783120,784681,786175,787604,788993,790394,791721,793054,794373,795615,796812,798042,799243,800361,801476,802524,803567,804639,805649,806623,807605,808580,809498,810477,811371,812214,813119,814026,814897,
56750,14,498,3011,9397,19946,34325,51553,70612,90987,112016,133089,154068,174631,194574,213957,232684,250696,267781,284412,300206,315439,330035,343834,357143,369790,381835,393425,404855,415543,425889,435847,445173,454229,462965,471493,479413,487250,494646,501874,508771,515496,521909,528019,534011,539724,545260,550562,555738,560778,565627,570250,574810,579124,583415,587451,591406,595158,598964,602550,606142,609495,612795,616095,619230,622339,625335,628235,631112,633859,636496,639161,641684,644093,646570,648896,651190,653323,655431,657515,659564,661596,663580,665510,667356,669180,670978,672725,674431,676048,677584,679116,680637,682153,683548,684984,686370,687763,689066,690360,691631,692942,694202,695453,696609,697798,698909,700035,701055,702091,703147,704121,705078,706086,707064,707985,708915,709770,710675,711527,
56760,4,206,1507,5295,12353,22643,35479,50282,66717,84100,101757,119352,136946,154340,171529,188108,204174,219852,234899,249364,263513,276819,289776,302346,314468,326088,337082,347742,357844,367438,376863,385860,394596,402900,410794,418541,426045,433304,440192,447020,453526,459957,465854,471641,477319,482683,487896,492979,497797,502555,507089,511584,515939,520124,524214,528212,532005,535637,539357,542909,546271,549579,552879,555957,559006,561932,564970,567769,570532,573181,575840,578300,580757,583125,585436,587734,589888,592012,594072,596042,598075,599968,601878,603732,605559,607363,609071,610728,612447,614093,615662,617201,618738,620228,621644,623110,624466,625824,627089,628358,629646,630913,632127,633357,634528,635662,636745,637853,638894,639931,640917,641886,642796,643749,644722,645603,646510,647385,648248,
56770,0,75,665,2699,7089,13783,22726,33514,45811,59232,73252,87875,102547,116996,131503,145876,159812,173581,186817,200004,212611,224803,236552,248012,258867,269327,279516,289445,299036,308184,316896,325340,333808,341908,349669,357052,364163,371216,377975,384251,390445,396483,402259,407884,413253,418540,423617,428448,433204,437822,442297,446509,450749,454869,458807,462680,466379,470064,473705,477003,480327,483570,486731,489825,492794,495679,498487,501317,504034,506668,509312,511775,514170,516558,518839,521083,523283,525362,527430,529471,531497,533449,535230,537106,538903,540609,542321,544035,545638,547267,548884,550360,551833,553307,554728,556134,557475,558807,560103,561355,562599,563847,565032,566203,567382,568511,569612,570687,571805,572835,573828,574812,575821,576723,577660,578579,579453,580337,581189,
56780,0,18,237,1234,3477,7503,13197,20451,29134,38894,49470,60618,72198,83986,95749,107653,119327,130983,142395,153485,164602,175331,185603,195752,205651,215062,224260,233293,241970,250489,258669,266491,273938,281203,288381,295170,301938,308373,314628,320533,326446,332088,337615,342853,347975,353054,357901,362638,367120,371674,375939,380165,384108,388082,391889,395433,399085,402568,406032,409393,412621,415755,418899,421884,424832,427698,430496,433236,436016,438570,441100,443477,445795,448143,450389,452582,454775,456887,459014,461010,462970,464798,466678,468518,470201,471903,473622,475271,476795,478324,479891,481392,482824,484187,485596,486950,488297,489617,490927,492118,493349,494595,495729,496900,498036,499159,500250,501355,502441,503417,504431,505401,506365,507318,508264,509151,510054,510938,511815,
56790,0,5,69,385,1414,3425,6585,10940,16482,22954,30327,38405,46752,55841,64972,74336,83719,92810,102200,111459,120478,129603,138402,147001,155608,163886,171823,179621,187282,194668,201937,209040,215625,222166,228637,234897,240997,246829,252452,257826,263197,268293,273356,278309,283130,287708,292231,296595,300835,304983,309013,312951,316798,320509,324177,327646,331023,334269,337551,340702,343863,346768,349740,352600,355395,358125,360767,363385,365837,368280,370684,373013,375232,377533,379728,381747,383773,385813,387776,389702,391565,393494,395290,396981,398775,400489,402194,403762,405294,406868,408442,409891,411311,412689,414059,415458,416798,418082,419315,420560,421745,422959,424188,425343,426402,427476,428569,429574,430597,431617,432571,433602,434561,435484,436386,437334,438247,439127,439958,
56800,0,0,18,111,445,1295,2794,5101,8052,11850,16358,21500,27317,33357,39899,46432,53289,60425,67613,74727,81778,88947,96001,102877,109858,116564,123107,129534,136003,142329,148424,154283,160177,165891,171505,176918,182162,187399,192372,197261,201993,206498,210985,215463,219830,223914,227985,231957,235798,239687,243342,246923,250330,253684,257082,260361,263552,266546,269564,272475,275304,278132,280843,283512,286156,288811,291255,293648,296061,298299,300536,302669,304818,306873,308997,311014,312955,314835,316766,318638,320362,322079,323822,325469,327132,328795,330331,331866,333355,334790,336263,337594,338995,340405,341685,343008,344195,345471,346638,347833,348959,350063,351176,352258,353324,354379,355429,356465,357475,358478,359437,360401,361327,362203,363097,363988,364835,365694,366503,
56810,0,0,1,33,158,491,1128,2247,3803,5870,8484,11610,15166,19192,23512,28151,32908,38120,43211,48438,53850,59276,64781,70296,75692,81093,86350,91710,96948,102163,107259,112288,117225,121926,126670,131269,135805,140232,144473,148694,152720,156751,160756,164750,168613,172282,175862,179276,182690,186029,189309,192497,195667,198801,201804,204772,207629,210398,213141,215766,218302,220870,223312,225744,228059,230418,232671,234857,237023,239212,241237,243322,245347,247279,249198,251103,252888,254690,256451,258141,259807,261453,263026,264554,266047,267571,269077,270477,271898,273259,274598,275882,277148,278376,279576,280841,282032,283223,284398,285554,286649,287772,288831,289837,290771,291778,292762,293727,294687,295637,296540,297409,298309,299144,299997,300835,301614,302433,303213,
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57020,0,0,0,0,0,0,7,23,62,135,257,465,703,1058,1471,1987,2639,3389,4248,5169,6164,7278,8453,9734,11059,12411,13859,15338,16848,18413,19992,21695,23304,24953,26639,28348,29994,31624,33259,34976,36688,38318,40010,41697,43330,44992,46591,48142,49734,51291,52826,54387,55890,57395,58891,60307,61766,63183,64608,66013,67386,68687,70003,71317,72645,73889,75192,76405,77620,78879,80031,81215,82342,83447,84556,85623,86675,87802,88861,89907,90850,91879,92875,93859,94797,95750,96679,97582,98513,99399,100269,101110,101943,102797,103589,104433,105233,105992,106707,107441,108142,108855,109571,110274,110956,111611,112268,112934,113574,114209,114790,115381,115936,116522,117115,117668,118221,118820,119370,
57031,2222,29978,104042,213112,338670,466449,587803,700980,803084,894816,976719,1050141,1115223,1172975,1225070,1272011,1313866,1352107,1386315,1417684,1446517,1472418,1495902,1517323,1537160,1555306,1572048,1587646,1602173,1615455,1627746,1639162,1650024,1660054,1669251,1677999,1686421,1694175,1701555,1708465,1714830,1721040,1726858,1732294,1737465,1742509,1747103,1751602,1755706,1759583,1763444,1767020,1770498,1773769,1776934,1779894,1782850,1785678,1788331,1790827,1793182,1795468,1797652,1799840,1801870,1803872,1805725,1807568,1809265,1810969,1812507,1814084,1815593,1817052,1818414,1819755,1820973,1822198,1823375,1824538,1825668,1826774,1827785,1828851,1829843,1830738,1831659,1832518,1833376,1834230,1835070,1835883,1836610,1837302,1837993,1838632,1839287,1839936,1840556,1841145,1841741,1842290,1842880,1843435,1843988,1844496,1845002,1845484,1845959,1846433,1846881,1847346,1847743,1848147,1848567,1848984,1849351,1849746,1850125,
57040,61,2854,17877,51955,104247,169034,241416,315449,389202,460286,527517,590709,649826,704123,754961,801346,844357,883909,920683,954318,985441,1014305,1041172,1066006,1089105,1110473,1130617,1149304,1166840,1183265,1198847,1212998,1226460,1238906,1250790,1262023,1272601,1282446,1291729,1300666,1308964,1316898,1324630,1331802,1338714,1345175,1351358,1357261,1362847,1368194,1373251,1378176,1382751,1387202,1391474,1395614,1399625,1403486,1406990,1410478,1413782,1416933,1419897,1422741,1425529,1428265,1430881,1433328,1435806,1438105,1440340,1442411,1444515,1446527,1448473,1450387,1452243,1454021,1455749,1457411,1458946,1460413,1461960,1463414,1464855,1466167,1467482,1468733,1469975,1471149,1472315,1473412,1474549,1475610,1476641,1477655,1478614,1479535,1480440,1481370,1482186,1483012,1483806,1484593,1485346,1486048,1486771,1487507,1488188,1488848,1489536,1490193,1490797,1491378,1491969,1492533,1493069,1493616,1494131,
57050,5,580,5308,19588,45812,82840,128291,179071,232497,286239,339721,391617,441000,488177,532322,574623,614163,651231,685504,717588,747675,775519,801741,826256,849460,871153,891544,910491,928443,945722,961631,976632,990784,1004086,1016722,1028805,1040048,1050649,1060685,1069954,1078948,1087721,1095996,1103694,1111087,1118266,1125034,1131469,1137594,1143517,1149200,1154524,1159780,1164808,1169617,1174209,1178565,1182645,1186547,1190362,1194056,1197506,1200952,1204238,1207395,1210438,1213261,1216111,1218854,1221418,1223985,1226410,1228783,1231009,1233175,1235302,1237310,1239379,1241274,1243123,1244953,1246652,1248349,1249971,1251547,1253062,1254529,1255966,1257410,1258777,1260074,1261327,1262551,1263767,1265004,1266096,1267256,1268300,1269328,1270307,1271251,1272223,1273144,1274005,1274869,1275706,1276525,1277362,1278167,1278912,1279633,1280295,1281042,1281721,1282428,1283089,1283711,1284314,1284919,
57060,0,93,1184,5819,16467,34158,58744,88117,121865,157907,195591,233580,271397,308751,344858,379107,412198,443659,473565,502189,529113,554733,578745,601321,622687,643207,662251,680656,697988,714210,729746,744672,758412,771655,784026,795882,807150,817797,828039,837512,846829,855702,864013,871974,879856,887030,894088,900788,907228,913476,919360,925032,930443,935572,940575,945295,949858,954360,958591,962699,966536,970301,973940,977530,981019,984319,987447,990464,993294,996111,998817,1001356,1003910,1006415,1008791,1011127,1013384,1015606,1017701,1019711,1021640,1023562,1025323,1027052,1028712,1030368,1032053,1033659,1035096,1036683,1038242,1039671,1041028,1042356,1043629,1044859,1046017,1047191,1048371,1049459,1050512,1051523,1052484,1053514,1054462,1055448,1056417,1057315,1058185,1059021,1059808,1060609,1061386,1062161,1062943,1063698,1064355,1065065,1065698,
57070,0,11,181,1269,4510,11133,21634,35960,53975,74792,97840,121975,147074,172852,198751,224060,249215,273564,297122,319990,342017,363451,383635,402953,421748,439682,456942,473383,488673,503340,517185,530402,543328,555654,567275,578531,589374,599580,609366,618714,627546,636093,644135,651869,659241,666452,673310,679968,686312,692473,698423,704076,709516,714691,719689,724549,729252,733702,737969,742098,746062,749963,753704,757335,760778,764131,767362,770506,773458,776339,779181,781968,784669,787161,789709,792141,794459,796754,798939,801062,803090,805086,807074,809014,810795,812503,814105,815673,817244,818888,820368,821870,823316,824638,825990,827385,828703,829934,831092,832251,833399,834474,835519,836530,837611,838573,839586,840524,841434,842340,843248,844092,844942,845735,846485,847270,848018,848739,849440,
57080,0,1,55,465,1985,5460,11772,20906,32860,47381,63776,81817,100879,121016,141715,162567,183187,203743,223806,243392,262458,281043,299129,316524,333169,349123,364798,379646,393957,407417,420776,433110,445066,456711,467869,478356,488635,498310,507370,516180,524876,533048,540909,548468,555910,562699,569372,575863,582069,588053,593704,599210,604381,609419,614280,619069,623672,627981,632242,636398,640252,644137,647901,651497,654981,658259,661475,664562,667636,670551,673389,676162,678705,681261,683748,686160,688538,690808,693029,695185,697291,699274,701200,703019,704804,706544,708215,709944,711627,713130,714595,716055,717524,718997,720474,721865,723151,724371,725616,726836,727975,729097,730256,731302,732341,733361,734331,735378,736344,737259,738150,738996,739863,740658,741441,742219,742946,743687,744406,
57090,0,0,15,175,842,2604,5956,11258,18846,28410,39827,52640,66630,81765,97502,113909,130112,146658,163288,179708,195931,211489,226919,242002,256320,270131,283829,297110,309743,321801,333651,344892,355833,366198,376205,385883,395211,404269,413035,421347,429343,436928,444281,451406,458188,464648,471073,477213,483067,488773,494258,499527,504594,509507,514219,518763,523006,527228,531312,535359,539251,542963,546578,550012,553274,556536,559695,562657,565660,568553,571304,573980,576604,579079,581448,583856,586149,588384,590606,592635,594726,596762,598685,600580,602392,604119,605895,607563,609206,610741,612264,613722,615148,616491,617828,619111,620384,621609,622776,623922,625070,626252,627344,628409,629448,630431,631446,632386,633290,634237,635142,636015,636847,637675,638475,639289,640055,640801,641509,
57100,0,0,4,52,295,1062,2727,5545,9863,15556,22690,31173,40658,51334,62716,74658,87025,99850,112614,125355,138301,151028,163492,175877,187954,199656,211195,222066,233073,243786,253947,263910,273540,282807,291738,300483,308859,316838,324696,332261,339700,346543,353347,359871,366320,372450,378339,383905,389233,394543,399701,404581,409387,414034,418475,422761,426890,430878,434594,438430,442065,445631,449063,452356,455636,458770,461793,464655,467568,470385,473094,475722,478302,480747,483066,485358,487627,489748,491897,494024,496029,497966,499890,501754,503543,505269,506962,508579,510110,511661,513113,514532,515909,517283,518631,519951,521205,522502,523653,524849,525994,527111,528111,529201,530235,531226,532151,533126,534067,535075,535954,536834,537687,538536,539299,540075,540826,541544,542264,
57110,0,0,0,17,90,368,1068,2387,4489,7558,11514,16589,22745,29656,37196,45262,53915,62843,72153,81651,91412,101190,110889,120775,130309,139879,149421,158884,167890,176747,185350,193586,201860,209749,217358,224924,232202,239245,246145,252849,259397,265582,271689,277402,283031,288491,293722,298829,303729,308598,313273,317733,322062,326388,330397,334377,338140,341879,345425,348975,352475,355797,359029,362087,365070,367997,370809,373630,376318,378915,381394,383887,386337,388637,390893,393147,395324,397415,399403,401302,403283,405149,406916,408749,410458,412096,413728,415290,416801,418146,419511,420917,422176,423537,424779,426052,427284,428468,429634,430779,431922,433013,434052,435134,436088,437026,437956,438886,439807,440699,441545,442415,443248,444052,444849,445654,446413,447106,447896,
57120,0,0,0,1,39,185,531,1272,2651,4683,7442,10925,15277,20345,25938,32188,38931,46168,53662,61552,69499,77679,85841,94056,102171,110331,118364,126260,134128,141892,149440,156700,163902,171043,177877,184596,191095,197367,203370,209471,215293,220897,226390,231795,237032,242081,246992,251753,256236,260727,265046,269221,273346,277351,281339,285066,288721,292223,295580,298861,302078,305223,308234,311110,313942,316781,319540,322039,324535,326982,329398,331711,333921,336190,338383,340532,342608,344554,346548,348338,350169,351926,353689,355389,356982,358512,360037,361533,362964,364461,365797,367164,368492,369738,370974,372235,373441,374681,375803,376916,378049,379045,380037,381006,381965,382879,383792,384655,385528,386394,387208,388005,388850,389669,390446,391165,391926,392662,393351,
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57140,0,0,0,1,4,26,81,295,691,1322,2352,3784,5648,7945,10655,13899,17367,21161,25421,29869,34663,39507,44604,49768,54991,60388,65730,71274,76789,82208,87606,93012,98268,103507,108641,113626,118577,123386,128148,132825,137338,141768,146124,150427,154570,158555,162565,166294,170122,173810,177241,180705,184008,187260,190453,193586,196635,199581,202440,205293,208034,210710,213298,215836,218249,220621,223087,225337,227563,229729,231792,233807,235736,237705,239613,241449,243207,244926,246636,248250,249850,251489,253027,254516,255981,257430,258825,260177,261522,262880,264170,265389,266585,267768,268896,270056,271099,272195,273239,274218,275201,276181,277156,278078,278977,279781,280602,281470,282270,283130,283927,284692,285422,286126,286827,287504,288161,288783,289379,
57150,0,0,0,0,2,2,29,102,284,629,1154,1934,3054,4501,6219,8305,10725,13354,16258,19377,22748,26337,30044,33942,37836,41991,46196,50492,54760,59013,63328,67686,72051,76239,80444,84544,88646,92769,96861,100832,104695,108360,112077,115729,119284,122709,126149,129514,132849,136052,139077,142137,145091,147967,150777,153562,156229,158900,161464,163989,166502,168874,171104,173284,175498,177757,179851,181911,183882,185829,187735,189609,191387,193187,194912,196549,198189,199769,201298,202857,204348,205770,207136,208544,209895,211124,212464,213685,214894,216040,217164,218286,219417,220540,221652,222662,223650,224671,225595,226556,227488,228394,229363,230162,230970,231801,232586,233413,234143,234845,235555,236265,236934,237608,238268,238862,239505,240073,240678,
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57520,0,0,1,26,123,342,881,1790,3212,5158,7650,10634,14022,17797,21903,26252,30850,35759,40733,45946,51089,56366,61525,66660,71821,76893,81989,86871,91721,96465,101075,105840,110365,114723,119065,123272,127501,131582,135486,139264,143011,146571,150055,153379,156673,159875,163036,166204,169127,172084,174806,177524,180160,182693,185120,187562,189940,192249,194524,196697,198804,200884,202895,204933,206825,208596,210443,212163,213815,215438,217104,218669,220233,221729,223247,224614,225970,227307,228616,229861,231138,232388,233578,234777,235904,236975,238045,239136,240128,241151,242168,243157,244104,244992,245905,246754,247568,248363,249147,249934,250657,251415,252118,252840,253538,254258,254878,255507,256131,256753,257354,257950,258528,259113,259681,260205,260715,261274,261796,
57530,0,0,0,8,29,112,329,735,1467,2536,3901,5626,7676,10051,12747,15784,18987,22522,25986,29693,33457,37373,41318,45323,49314,53202,57249,61271,65203,69099,72946,76791,80488,84226,87764,91199,94644,97975,101258,104577,107683,110752,113852,116694,119617,122342,125167,127819,130323,132815,135178,137526,139860,142167,144391,146587,148687,150741,152727,154611,156415,158245,160134,161898,163587,165279,166890,168488,170056,171508,173007,174474,175886,177214,178530,179842,181083,182292,183487,184711,185892,186960,188054,189178,190187,191262,192257,193227,194219,195158,196081,196966,197868,198737,199531,200362,201178,201911,202664,203406,204186,204872,205525,206190,206828,207468,208061,208687,209298,209902,210441,211022,211573,212116,212646,213156,213671,214116,214561,
57540,0,0,0,0,5,33,91,240,527,966,1650,2551,3655,4992,6533,8272,10206,12290,14568,17052,19597,22268,24964,27805,30788,33675,36567,39554,42459,45426,48337,51273,54104,56903,59751,62630,65350,68030,70744,73264,75821,78367,80785,83162,85483,87744,90008,92341,94438,96511,98514,100484,102443,104350,106210,107998,109658,111372,113142,114791,116453,117996,119567,121078,122557,124022,125463,126844,128205,129511,130839,132103,133351,134638,135870,136982,138078,139166,140326,141401,142469,143500,144451,145351,146281,147182,148073,148992,149797,150654,151512,152331,153055,153810,154582,155329,156019,156729,157388,158072,158750,159397,160046,160656,161235,161838,162416,163007,163530,164018,164507,165031,165531,165992,166469,166924,167385,167824,168264,
57550,0,0,0,0,2,6,17,53,132,274,513,838,1312,1900,2608,3477,4486,5563,6782,8121,9604,11161,12780,14429,16213,18010,19868,21713,23576,25580,27567,29472,31494,33474,35359,37261,39203,41248,43190,45061,46938,48814,50608,52369,54197,55948,57618,59306,60931,62574,64204,65790,67292,68809,70318,71848,73243,74566,75983,77328,78667,80010,81281,82482,83674,84853,86052,87244,88323,89392,90486,91520,92537,93568,94574,95562,96448,97339,98249,99170,100042,100936,101775,102530,103362,104097,104863,105613,106345,107099,107802,108479,109161,109831,110510,111163,111791,112365,112952,113498,114054,114627,115168,115701,116188,116666,117189,117683,118157,118596,119002,119415,119857,120286,120748,121150,121562,121942,122346,
57560,0,0,0,0,0,0,1,4,16,37,80,160,263,415,630,897,1256,1654,2106,2624,3225,3899,4630,5438,6289,7159,8087,9064,10076,11099,12128,13238,14344,15449,16603,17739,18901,20020,21194,22356,23499,24622,25742,26909,28046,29168,30286,31431,32502,33562,34609,35729,36733,37783,38858,39898,40880,41834,42818,43812,44725,45650,46579,47513,48411,49260,50106,50919,51757,52562,53388,54170,54902,55691,56380,57132,57852,58519,59158,59822,60491,61159,61801,62435,63084,63661,64224,64787,65326,65877,66486,67007,67521,68026,68506,69006,69451,69953,70412,70861,71293,71708,72113,72558,72963,73356,73736,74122,74554,74950,75293,75653,75990,76348,76683,76991,77359,77686,77980,
57573225,81459,232588,389349,527464,644977,744138,827915,898726,959900,1012665,1058519,1099035,1134624,1166081,1194247,1219438,1242570,1263342,1282446,1299751,1315662,1330377,1344041,1356417,1368131,1378812,1388884,1398334,1407104,1415249,1422962,1430203,1436833,1443269,1449396,1455162,1460469,1465623,1470480,1475030,1479436,1483531,1487484,1491246,1494964,1498399,1501698,1504796,1507774,1510684,1513397,1516046,1518522,1520918,1523236,1525468,1527549,1529656,1531640,1533605,1535477,1537244,1538945,1540690,1542299,1543829,1545282,1546725,1548122,1549448,1550749,1551980,1553242,1554363,1555514,1556590,1557671,1558724,1559680,1560640,1561566,1562455,1563299,1564186,1565023,1565854,1566647,1567360,1568068,1568767,1569503,1570211,1570868,1571491,1572092,1572685,1573301,1573880,1574407,1574965,1575442,1575945,1576477,1576955,1577456,1577923,1578316,1578718,1579121,1579531,1579939,1580319,1580683,1581052,1581433,1581790,1582135,1582487,1582805,
5758261,23134,97230,197096,300100,396387,482306,558916,626033,685664,737777,784331,825805,863064,896270,926280,953539,978582,1001259,1022017,1041023,1058472,1074786,1089948,1103883,1116844,1129043,1140432,1151035,1161073,1170448,1179409,1187694,1195687,1203038,1209961,1216447,1222655,1228526,1234305,1239713,1244840,1249790,1254407,1258767,1262995,1267001,1270872,1274587,1278014,1281371,1284629,1287779,1290806,1293774,1296494,1299190,1301742,1304201,1306572,1308841,1310996,1313077,1315069,1316990,1318907,1320660,1322446,1324069,1325688,1327217,1328756,1330269,1331725,1333185,1334487,1335779,1337017,1338234,1339419,1340583,1341701,1342716,1343798,1344826,1345781,1346748,1347636,1348588,1349451,1350290,1351156,1351909,1352716,1353513,1354242,1354983,1355684,1356389,1357105,1357745,1358359,1358934,1359525,1360109,1360683,1361253,1361798,1362315,1362788,1363268,1363732,1364203,1364654,1365129,1365554,1366012,1366403,1366818,1367168,
575944,9509,52518,122091,201987,281493,356424,424370,486425,541703,591534,636476,676805,713482,746544,776482,803621,828803,851780,873060,892785,910793,927505,943153,957834,971414,984106,995959,1007282,1017737,1027528,1036871,1045549,1053855,1061717,1069040,1076096,1082719,1089069,1094997,1100757,1106252,1111470,1116433,1121267,1125780,1130273,1134489,1138455,1142196,1145852,1149388,1152797,1156099,1159139,1162155,1164981,1167753,1170396,1172981,1175450,1177766,1179957,1182123,1184221,1186240,1188244,1190101,1191957,1193649,1195398,1197156,1198811,1200422,1201927,1203388,1204794,1206200,1207505,1208782,1209953,1211137,1212278,1213381,1214445,1215537,1216540,1217586,1218581,1219570,1220512,1221400,1222276,1223077,1223929,1224761,1225525,1226311,1227019,1227745,1228411,1229081,1229752,1230405,1231037,1231633,1232231,1232821,1233434,1234014,1234546,1235077,1235623,1236109,1236614,1237075,1237574,1237985,1238449,1238846,
57601,2914,23459,65297,120196,180148,239841,296984,350359,399670,444642,486064,524251,558940,591013,620145,646815,671768,694655,715827,735567,753713,770860,786687,801373,815385,828305,840438,851718,862589,872595,882223,891388,900040,908124,915958,923447,930418,937003,943419,949331,954941,960237,965480,970557,975448,980020,984440,988718,992765,996729,1000516,1004097,1007395,1010604,1013899,1016851,1019699,1022458,1025171,1027840,1030263,1032698,1035090,1037375,1039646,1041699,1043714,1045681,1047582,1049520,1051249,1052947,1054581,1056132,1057701,1059213,1060682,1062069,1063450,1064811,1066045,1067351,1068568,1069670,1070853,1071955,1073006,1074065,1075080,1076094,1077063,1077993,1078882,1079765,1080614,1081457,1082314,1083158,1083914,1084720,1085479,1086186,1086868,1087543,1088230,1088875,1089515,1090087,1090698,1091289,1091860,1092431,1092962,1093513,1094018,1094441,1094895,1095368,1095843,
57612,663,8168,28309,60273,99558,142165,185246,227400,267765,305984,341725,374879,406102,435056,461993,487270,510327,531951,552027,570897,588659,605233,620761,635262,649037,661795,673845,685271,695791,706092,715843,725082,733832,742142,750092,757676,764721,771504,777915,784227,790169,795905,801168,806408,811505,816218,820751,825274,829511,833436,837334,841003,844580,848040,851349,854615,857691,860608,863500,866204,868839,871338,873828,876236,878545,880756,882906,884989,886968,888935,890854,892715,894439,896207,897976,899564,901174,902694,904189,905626,906988,908288,909613,910876,912090,913287,914430,915548,916655,917681,918724,919704,920714,921629,922565,923518,924321,925180,926041,926854,927640,928457,929221,929897,930614,931315,931992,932692,933338,933896,934524,935153,935724,936335,936915,937437,937928,938425,938936,
57620,235,4083,16714,39120,68398,102019,137508,173308,208296,242159,274155,304474,332985,359737,385034,408715,430769,451571,470761,488806,505712,521771,536934,551089,564481,577012,588906,600130,610834,621046,630689,639762,648312,656370,664148,671579,678718,685407,691839,698137,703971,709601,715091,720246,725154,729920,734484,738975,743123,747193,751127,754903,758450,761873,765189,768477,771595,774606,777509,780286,783002,785545,788030,790469,792841,795176,797367,799492,801483,803477,805320,807199,809109,810913,812563,814237,815883,817420,818951,820402,821843,823186,824558,825860,827094,828286,829452,830558,831656,832739,833808,834814,835746,836710,837663,838547,839451,840360,841231,842091,842907,843747,844509,845289,845997,846683,847391,847999,848660,849306,849942,850556,851138,851692,852248,852821,853365,853922,854423,
57630,94,1837,9046,23065,43962,69397,97182,126074,154933,183808,211885,238366,263770,287863,310869,332144,352555,372046,389934,406986,423135,438431,452716,466363,479066,491181,502738,513855,523956,533933,543352,552306,560813,568865,576625,584037,591053,597902,604211,610148,616097,621733,627046,632212,637057,641808,646277,650684,654834,658852,662837,666613,670158,673651,677005,680307,683422,686431,689322,692061,694733,697378,699862,702352,704661,706998,709338,711472,713504,715541,717505,719329,721155,722923,724595,726254,727853,729381,730961,732466,733907,735331,736706,738044,739274,740503,741753,742914,744010,745120,746228,747267,748297,749282,750226,751154,752035,752915,753880,754726,755558,756377,757175,757936,758716,759410,760119,760801,761507,762197,762808,763466,764085,764671,765252,765823,766405,766943,767419,
57640,21,697,4234,12544,25855,43085,63402,85415,108515,131699,154689,177539,199293,220193,240402,259469,277845,295037,311785,327301,342040,355978,369425,382182,394254,405670,416653,427218,437043,446420,455237,463774,471950,479791,487354,494287,501110,507620,513970,519965,525707,531217,536570,541542,546434,551069,555510,559969,564060,567983,571833,575618,579230,582717,586003,589183,592416,595400,598268,601110,603850,606464,609001,611531,613904,616237,618481,620703,622743,624745,626698,628543,630409,632181,633874,635561,637155,638726,640285,641701,643194,644617,646013,647296,648582,649851,651070,652250,653354,654440,655536,656606,657616,658611,659526,660477,661422,662319,663223,664076,664917,665720,666488,667295,668067,668828,669476,670162,670843,671518,672121,672761,673359,673957,674521,675071,675608,676192,676685,
57650,1,213,1607,5709,13162,23874,37296,52782,69659,87370,105270,123141,140662,158129,175097,191470,207173,222318,236664,250745,263892,276568,288695,300213,311307,321928,332031,341772,350995,359723,367933,375956,383544,390876,397889,404608,411169,417374,423461,429233,434569,440007,445147,449925,454682,459121,463555,467857,471859,475789,479516,483120,486617,489992,493261,496454,499356,502309,505113,507929,510609,513166,515645,518045,520365,522664,524857,527000,529067,530983,532898,534752,536579,538327,540098,541757,543402,545034,546547,548058,549467,550897,552211,553520,554791,556037,557230,558381,559537,560652,561758,562792,563841,564832,565791,566716,567692,568582,569396,570207,571058,571871,572682,573452,574238,574974,575754,576494,577190,577866,578497,579144,579782,580377,580954,581511,582083,582626,583150,
57660,3,92,829,3288,8172,15574,25376,37309,50725,64876,79373,94618,109462,124527,139320,153710,167561,181031,194054,206709,218916,230630,241793,252413,262720,272721,282059,291015,299665,307862,315842,323624,330889,337902,344608,351002,357267,363227,368882,374446,379681,384747,389699,394401,398986,403331,407556,411617,415457,419383,423062,426590,430001,433426,436637,439732,442680,445606,448426,451024,453621,456192,458642,461115,463359,465602,467639,469790,471809,473829,475714,477543,479381,481180,482909,484553,486144,487687,489202,490659,492164,493579,494830,496129,497392,498636,499829,500988,502122,503206,504235,505278,506327,507335,508338,509278,510250,511139,511973,512808,513649,514519,515283,516039,516812,517546,518277,518956,519601,520295,520923,521559,522137,522768,523416,524003,524567,525145,525654,
57670,0,26,323,1593,4499,9481,16277,24860,34621,45565,57384,69447,81986,94577,107036,119295,131158,143043,154663,165723,176608,187007,197175,207000,216283,225432,234158,242491,250388,258112,265592,272650,279347,286004,292327,298434,304360,310086,315408,320588,325542,330481,335208,339719,344017,348264,352390,356189,359986,363581,367137,370536,373840,377110,380141,383128,386016,388784,391462,394151,396709,399066,401501,403857,406006,408221,410349,412324,414275,416226,418101,419896,421586,423336,424990,426644,428209,429738,431210,432681,434027,435376,436668,437981,439228,440426,441547,442717,443790,444918,446002,447036,448024,449024,449937,450880,451777,452720,453554,454419,455209,456018,456814,457582,458276,459013,459707,460413,461079,461705,462392,463034,463606,464216,464809,465358,465871,466409,466949,
57680,0,7,139,727,2290,5269,9622,15410,22398,30373,39181,48744,58568,68710,78748,88827,98909,108770,118629,128143,137483,146632,155510,164084,172419,180441,188426,195947,203303,210157,216921,223453,229805,235837,241657,247338,252729,257856,262814,267748,272373,276985,281332,285508,289646,293679,297580,301237,304816,308171,311514,314707,317848,320942,323898,326746,329563,332195,334784,337319,339766,342151,344449,346658,348849,350938,352976,354924,356855,358707,360512,362236,363978,365586,367166,368726,370308,371826,373324,374763,376115,377453,378826,380086,381275,382419,383587,384701,385809,386950,388004,389009,390042,390984,391954,392916,393757,394629,395471,396289,397054,397793,398542,399303,400023,400712,401391,402074,402790,403403,404070,404653,405273,405842,406402,406969,407501,408009,408532,
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57700,0,0,7,78,373,1014,2204,4081,6679,9915,13942,18374,23236,28548,34018,39856,45906,52146,58276,64341,70356,76467,82461,88432,94145,99868,105463,110968,116289,121470,126527,131498,136315,141020,145533,149900,154200,158202,162182,166061,169883,173646,177217,180627,184086,187341,190525,193627,196601,199633,202390,205169,207838,210384,212946,215320,217709,220000,222225,224372,226534,228609,230543,232495,234352,236140,237986,239713,241406,243128,244757,246350,247887,249376,250817,252200,253530,254830,256048,257263,258511,259708,260883,261982,263134,264197,265286,266311,267365,268319,269263,270171,271065,271974,272860,273672,274427,275284,276078,276820,277564,278293,278980,279668,280303,281001,281650,282270,282894,283472,284088,284643,285223,285772,286340,286806,287358,287838,288328,
57710,0,0,1,17,123,376,927,1959,3413,5240,7644,10449,13590,17057,20950,25081,29359,33783,38397,42977,47651,52459,57050,61781,66425,70986,75457,79971,84381,88771,93032,97142,101180,105131,108958,112811,116504,120184,123716,127128,130397,133600,136769,139905,142798,145623,148421,151120,153827,156510,159041,161578,163994,166249,168562,170760,172935,174997,177055,178989,180931,182814,184585,186382,188141,189856,191446,193059,194661,196191,197681,199122,200472,201823,203163,204466,205695,206950,208145,209282,210420,211593,212694,213727,214746,215778,216738,217702,218636,219578,220481,221371,222230,223038,223879,224642,225408,226176,226912,227643,228343,229040,229722,230365,231019,231664,232262,232838,233481,234048,234592,235068,235579,236088,236615,237137,237649,238086,238536,
57720,0,0,0,1,30,113,305,674,1348,2223,3425,4906,6720,8812,11062,13670,16364,19271,22374,25546,28784,32034,35326,38743,42233,45647,49081,52497,55796,59197,62629,65897,69076,72241,75286,78365,81291,84222,87086,89949,92731,95436,98061,100734,103299,105697,108046,110405,112646,114909,116978,119045,121074,123076,125057,126967,128821,130612,132372,134086,135760,137394,139001,140548,142130,143703,145121,146538,147985,149357,150747,151997,153283,154441,155577,156717,157895,159000,160075,161163,162162,163201,164132,165096,166028,166955,167851,168712,169526,170382,171214,171967,172724,173536,174241,174945,175683,176389,177020,177673,178318,178983,179615,180210,180785,181315,181902,182434,182993,183542,184071,184582,185101,185625,186128,186555,186984,187448,187912,
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57800,778,8648,29229,60172,97371,136791,176244,215039,252184,287347,320059,350511,378729,405223,430160,452877,473988,493911,512462,529765,545830,560986,575368,588930,601487,613368,624491,635140,645198,654907,663960,672353,680615,688165,695570,702661,709468,715857,721834,727552,733018,738314,743267,748057,752774,757196,761452,765542,769465,773331,776905,780485,783899,787201,790273,793283,796132,798914,801631,804303,806801,809318,811647,813865,816172,818249,820271,822230,824126,825957,827783,829549,831267,832926,834520,836111,837602,839023,840479,841836,843165,844461,845719,846933,848056,849249,850338,851406,852460,853555,854547,855546,856520,857398,858329,859218,860061,860883,861684,862486,863238,863980,864731,865463,866128,866825,867429,868052,868662,869323,869863,870464,871018,871546,872045,872537,873069,873548,874041,
57810,302,4445,16816,38008,65560,96679,129109,161668,193697,224402,253573,281160,307015,331391,354071,375545,395591,414166,431798,448549,464169,478969,492808,505835,518030,529644,540745,551138,561010,570232,579136,587684,595701,603388,610588,617612,624176,630530,636492,642312,647882,653222,658226,663066,667776,672192,676494,680675,684619,688404,692136,695678,699128,702423,705649,708681,711684,714526,717243,719823,722373,724822,727232,729494,731765,733992,736048,738096,740026,741934,743713,745472,747245,748911,750571,752075,753632,755155,756570,757946,759292,760554,761783,763013,764160,765323,766424,767521,768579,769609,770665,771649,772615,773581,774466,775339,776131,776961,777793,778609,779397,780169,780965,781702,782438,783136,783808,784439,785064,785660,786257,786871,787496,788089,788651,789191,789703,790228,790736,
57820,96,1847,8751,22043,40996,63775,88699,114607,140684,166481,191362,214971,237972,259624,279998,299294,317897,335368,351677,367214,381839,395588,408445,420863,432653,443918,454534,464627,474063,483050,491593,499835,507738,515222,522098,529026,535563,541731,547762,553501,559003,564359,569329,574134,578729,583104,587439,591546,595477,599350,603068,606587,609986,613215,616251,619254,622219,624957,627650,630238,632906,635335,637717,640079,642271,644547,646650,648763,650713,652689,654559,656300,658025,659703,661315,662912,664511,666062,667534,668912,670233,671559,672891,674145,675378,676544,677700,678837,679894,680962,682046,682988,683982,684909,685828,686648,687541,688413,689246,690045,690819,691621,692363,693123,693864,694549,695300,695961,696607,697233,697854,698414,699012,699593,700141,700709,701227,701737,702279,
57830,27,687,3892,11262,22748,37750,55388,74663,94590,114995,135370,155084,174276,192589,210291,227318,243558,259078,273834,287768,300968,313612,325609,337219,348283,358685,368714,378175,387058,395653,403862,411764,419249,426474,433223,439782,446019,451913,457656,463159,468575,473626,478453,483103,487499,491797,495851,499843,503706,507329,510992,514482,517794,521008,524113,527103,530053,532924,535559,538153,540714,543178,545581,547863,550114,552279,554444,556463,558410,560230,562068,563828,565577,567196,568890,570485,572071,573563,575038,576528,577936,579236,580607,581870,583091,584314,585448,586602,587705,588776,589808,590827,591808,592738,593649,594522,595463,596301,597126,597928,598745,599548,600297,601008,601730,602442,603099,603779,604410,605038,605642,606296,606880,607459,608010,608530,609069,609635,610147,
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58020,17,755,3989,11414,22629,37191,53990,72240,91110,110407,129427,147811,165556,182763,199693,215611,230838,245415,259112,272158,284606,296566,307831,318397,328676,338450,347732,356612,365004,373203,380800,388042,395045,401785,408182,414344,420176,425948,431363,436539,441633,446393,451087,455503,459715,463784,467637,471471,475143,478645,482067,485398,488576,491726,494665,497490,500254,502969,505633,508121,510591,512915,515163,517350,519554,521627,523506,525457,527342,529170,530995,532667,534276,535882,537483,538976,540447,541945,543319,544658,545939,547249,548459,549677,550880,551989,553099,554190,555245,556268,557308,558248,559163,560063,560940,561813,562666,563452,564284,565036,565777,566527,567225,567929,568646,569313,569972,570578,571179,571772,572366,572976,573559,574092,574614,575139,575639,576105,576645,
58030,8,328,2095,6699,14491,24832,37497,51919,67362,83225,99009,114737,130026,145187,159827,174000,187707,200755,213352,225215,236598,247478,257915,267899,277409,286592,295375,303996,311991,319533,326783,333730,340498,346797,352914,358887,364647,370237,375548,380655,385453,390046,394509,398843,402988,406947,410824,414462,417967,421415,424801,427994,431089,434131,436988,439722,442467,444945,447509,449956,452311,454580,456777,459031,461150,463215,465231,467129,468982,470770,472584,474263,475922,477446,478922,480484,481936,483412,484801,486163,487463,488783,490015,491266,492425,493546,494628,495663,496728,497694,498666,499662,500624,501576,502484,503333,504160,504975,505726,506451,507155,507856,508532,509251,509903,510611,511310,511940,512581,513224,513759,514361,514919,515513,516062,516577,517091,517630,518137,
58040,1,127,1028,3557,8457,15308,24290,34882,46576,59155,72050,84971,97714,110344,123011,135193,146935,158658,169542,180240,190521,200292,209980,218990,227804,236198,244225,251932,259507,266675,273440,280004,286317,292290,298102,303753,309106,314081,318840,323652,328164,332584,336851,340949,344875,348757,352381,356029,359439,362784,365964,369001,371991,374852,377670,380420,383032,385617,388076,390492,392793,395061,397230,399385,401460,403432,405284,407143,408919,410647,412295,413977,415597,417172,418647,420147,421598,422999,424412,425690,426927,428173,429289,430519,431624,432760,433847,434911,435978,437013,438019,438928,439825,440785,441709,442506,443398,444238,445018,445756,446535,447255,447953,448655,449332,450008,450664,451277,451948,452509,453096,453649,454183,454768,455325,455834,456353,456855,457339,
58050,0,32,372,1536,4071,8254,14031,21204,29428,38730,48408,58412,68558,78787,88976,99112,108967,118902,128306,137472,146440,155093,163531,171672,179414,186847,194179,201145,207962,214353,220406,226288,232138,237667,243091,248210,253179,258078,262740,267272,271676,275893,279916,283806,287474,291115,294653,298035,301303,304416,307437,310276,313001,315728,318351,320825,323304,325730,328129,330407,332640,334720,336808,338828,340775,342687,344491,346258,347997,349760,351349,352972,354605,356108,357625,359064,360489,361809,363150,364445,365693,366932,368111,369327,370472,371566,372653,373700,374754,375724,376722,377652,378513,379394,380230,381037,381863,382678,383432,384200,384873,385588,386307,387008,387678,388340,388951,389567,390170,390821,391446,392023,392546,393090,393593,394133,394623,395136,395629,
58060,0,6,107,540,1673,3865,7084,11368,16545,22471,29105,36246,43737,51433,59214,66986,74787,82498,90221,97706,105055,112228,119188,126045,132642,139053,145387,151617,157540,163245,168631,173824,178923,183996,188671,193391,197996,202338,206567,210581,214599,218369,221970,225544,228905,232258,235410,238554,241542,244470,247350,250026,252623,255214,257717,260200,262525,264825,267074,269213,271343,273313,275217,277129,278966,280733,282483,284205,285815,287384,288933,290466,291891,293340,294722,296092,297398,298675,299924,301133,302338,303500,304641,305753,306859,307861,308909,309913,310888,311812,312701,313548,314419,315317,316157,316980,317785,318538,319279,320037,320777,321504,322199,322847,323512,324148,324731,325329,325930,326533,327117,327677,328182,328724,329244,329758,330253,330696,331172,
58070,0,0,30,186,676,1698,3290,5764,8974,12816,17227,22205,27421,32978,38748,44692,50556,56609,62668,68584,74453,80404,86127,91773,97309,102689,108082,113221,118194,123049,127832,132608,137070,141375,145694,149853,153853,157789,161528,165057,168552,171922,175269,178472,181528,184416,187326,190205,192867,195534,198147,200678,203186,205489,207864,210162,212265,214366,216388,218354,220242,222182,224087,225842,227590,229189,230854,232578,234135,235570,237002,238411,239739,241068,242347,243683,244926,246131,247303,248474,249572,250686,251709,252786,253807,254798,255729,256689,257595,258510,259372,260167,260997,261875,262652,263416,264158,264915,265643,266352,267050,267749,268357,269011,269662,270231,270856,271452,272014,272585,273148,273626,274125,274627,275125,275605,276074,276533,276979,
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58100,0,0,0,1,3,10,38,93,204,420,734,1138,1658,2361,3186,4165,5224,6351,7558,8893,10255,11761,13246,14795,16485,18124,19807,21506,23235,24964,26670,28448,30217,31916,33656,35393,37041,38752,40357,41940,43543,45050,46575,48115,49605,51104,52592,53964,55438,56888,58248,59555,60819,62134,63415,64650,65876,67080,68249,69438,70543,71633,72748,73782,74764,75778,76748,77739,78688,79651,80565,81478,82338,83200,84015,84814,85579,86370,87119,87863,88564,89289,89943,90660,91315,91972,92581,93239,93854,94448,95030,95607,96159,96761,97323,97846,98358,98873,99346,99751,100216,100677,101115,101580,102030,102479,102898,103320,103733,104137,104499,104883,105287,105677,106005,106362,106717,107054,107375,
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58173,1566,13152,37753,71662,110063,149267,187849,224590,258938,291290,321352,349134,374861,398813,421349,442023,461264,479002,495815,511377,525959,539559,552472,564735,576167,587127,597434,606912,615709,624324,632504,640246,647512,654462,661099,667713,673638,679449,685048,690218,695250,699935,704588,709042,713357,717539,721521,725333,728979,732458,735797,739002,742133,745063,747955,750756,753444,756045,758589,760978,763217,765511,767656,769719,771665,773652,775590,777380,779088,780769,782434,784001,785548,787051,788517,789925,791368,792648,793941,795208,796429,797641,798767,799874,800999,802015,803039,804081,805068,805998,806984,807864,808752,809595,810453,811296,812038,812824,813572,814321,815026,815744,816395,817087,817756,818397,819008,819627,820191,820768,821294,821886,822426,822941,823438,823933,824400,824890,825344,
58180,620,6677,21962,45581,74363,105141,136548,167492,197358,225791,252717,278226,301904,323806,344426,363827,381934,398713,414795,429760,444010,457220,469812,481588,492660,503126,512990,522503,531539,539796,547925,555676,562899,569785,576264,582657,588593,594351,599804,605122,610176,615014,619561,623970,628246,632189,636217,639916,643508,647041,650347,653728,656948,659940,662823,665684,668426,670976,673486,675893,678256,680532,682721,684922,686933,688893,690885,692771,694496,696280,698006,699675,701246,702761,704245,705690,707028,708425,709789,711044,712263,713419,714669,715926,717022,718127,719208,720221,721183,722197,723132,724095,724979,725857,726742,727542,728340,729106,729895,730637,731327,732004,732672,733360,734029,734714,735345,735978,736544,737134,737682,738241,738761,739280,739808,740337,740811,741297,741803,
58190,179,2827,11238,25940,45352,68081,92491,117143,141547,165553,188415,210230,230768,250576,269089,286946,303536,319069,333920,347876,360972,373266,385176,396410,406907,417051,426586,435513,444102,452268,459999,467408,474420,481201,487689,493886,499815,505427,510779,515968,520982,525810,530344,534712,538938,542991,546945,550605,554231,557755,561114,564310,567379,570385,573255,576014,578652,581340,583798,586233,588640,590927,593104,595324,597367,599352,601253,603191,605073,606850,608617,610351,611884,613486,614994,616565,617960,619379,620697,621972,623193,624399,625543,626651,627816,628975,630048,631097,632099,633091,634108,635089,635948,636836,637676,638487,639314,640067,640866,641639,642375,643046,643731,644447,645054,645668,646331,646971,647545,648140,648692,649296,649843,650398,650909,651459,651967,652446,652909,
58200,68,1486,6721,17015,31608,49497,69245,89963,110840,132060,152386,171981,190646,208766,225639,241751,257163,271581,285413,298479,310930,322722,333903,344462,354562,364077,373320,382206,390547,398532,406124,413382,420286,426858,433041,439105,444801,450386,455676,460857,465871,470616,475031,479275,483420,487286,491234,495001,498573,501949,505266,508366,511480,514360,517175,519911,522546,525108,527637,530108,532388,534703,537049,539178,541166,543134,545035,546967,548821,550599,552300,553986,555615,557172,558699,560136,561671,563110,564521,565801,567015,568198,569453,570587,571721,572796,573941,574974,575957,576970,577938,578838,579773,580709,581590,582423,583277,584081,584854,585578,586346,587058,587764,588379,589088,589733,590375,590974,591562,592141,592683,593247,593801,594345,594904,595415,595938,596421,596905,
58210,27,679,3617,10306,20728,33934,49269,65722,83080,100494,117963,135028,151432,167526,182956,197501,211504,224777,237460,249736,261401,272500,282944,292912,302527,311727,320367,328696,336516,343951,351113,357911,364441,370808,376855,382783,388416,393698,398846,403798,408667,413276,417666,421982,426060,429895,433555,437178,440601,443975,447136,450210,453298,456226,458932,461589,464188,466637,469116,471561,473863,476078,478247,480404,482420,484488,486426,488229,490107,491831,493540,495200,496791,498265,499792,501318,502773,504157,505545,506780,508076,509300,510449,511669,512766,513876,514981,516010,516998,518029,519001,519947,520916,521787,522596,523442,524252,525028,525787,526518,527270,528015,528758,529488,530185,530818,531454,532123,532711,533333,533942,534516,535129,535665,536192,536721,537245,537757,538244,
58220,8,295,1782,5730,12372,21360,32573,45477,59057,73187,87489,101607,115663,129323,142532,155386,167552,179356,190954,201773,212432,222645,232261,241582,250316,258736,266904,274702,282162,289376,296145,302818,309194,315242,321072,326594,331867,336899,341674,346430,350820,355204,359425,363554,367390,371050,374660,378279,381547,384823,387853,390811,393791,396691,399429,401919,404507,406905,409355,411724,413973,416134,418259,420317,422383,424384,426275,428075,429811,431514,433131,434765,436288,437772,439251,440735,442155,443504,444870,446173,447427,448651,449805,451000,452075,453136,454226,455267,456301,457283,458232,459150,460059,461016,461891,462683,463483,464325,465055,465762,466477,467142,467844,468482,469122,469778,470419,471026,471640,472232,472810,473374,473913,474435,474976,475494,475988,476465,476949,
58230,2,98,703,2679,6486,12298,19801,28884,38904,49768,60890,72006,83260,94526,105459,116366,126928,137356,147186,156807,166084,174966,183551,191928,199879,207537,214955,222031,228794,235367,241589,247731,253643,259280,264699,269843,274736,279457,284003,288458,292754,296801,300653,304534,308321,312019,315461,318931,322114,325231,328261,331136,333879,336687,339324,341840,344326,346676,348971,351200,353339,355545,357608,359669,361615,363534,365370,367105,368790,370459,372062,373704,375205,376673,378153,379537,380842,382161,383455,384747,385930,387081,388276,389408,390513,391594,392621,393669,394688,395698,396590,397542,398425,399285,400107,400947,401773,402575,403328,404043,404755,405427,406098,406765,407450,408112,408688,409294,409905,410481,411042,411580,412122,412642,413168,413672,414183,414667,415139,
58240,1,17,238,1059,2835,6032,10504,16052,22602,29941,37838,46121,54650,63261,71897,80557,88978,97291,105560,113513,121495,128954,136366,143467,150411,157080,163558,169787,175863,181717,187443,192849,197982,203075,207888,212584,217391,221775,225930,230009,233889,237689,241326,244804,248217,251522,254638,257709,260792,263715,266499,269234,271869,274394,276904,279322,281714,283953,286189,288282,290348,292283,294224,296172,297944,299695,301427,303064,304684,306246,307723,309163,310655,312083,313488,314855,316169,317456,318726,319988,321153,322366,323460,324547,325608,326653,327666,328650,329569,330546,331521,332442,333277,334114,334973,335698,336518,337335,338019,338727,339404,340079,340734,341316,341905,342505,343138,343748,344303,344890,345424,345978,346519,347027,347577,348079,348564,349016,349520,
58250,0,4,71,367,1175,2782,5316,8698,12748,17668,22991,28867,35030,41390,48063,54732,61442,68154,74651,81144,87465,93672,99751,105799,111618,117317,122933,128284,133545,138749,143722,148524,153091,157679,162028,166150,170206,174134,177889,181498,185046,188503,191905,195115,198306,201353,204260,207117,209941,212606,215306,217789,220174,222560,224878,227033,229078,231253,233253,235150,237176,239043,240805,242591,244345,246098,247757,249357,250842,252358,253775,255185,256558,257943,259217,260506,261743,262906,264062,265177,266300,267427,268474,269506,270502,271496,272461,273388,274291,275235,276112,276924,277744,278584,279355,280105,280879,281658,282405,283141,283829,284502,285137,285715,286303,286893,287478,288047,288648,289212,289782,290310,290805,291319,291782,292273,292753,293196,293665,
58260,0,2,11,88,378,1004,2112,3835,6061,8822,11984,15589,19522,23680,28131,32717,37490,42318,47184,52058,56959,61724,66374,71073,75740,80177,84639,89004,93335,97542,101555,105493,109331,113167,116819,120251,123751,126991,130252,133402,136402,139420,142229,145078,147900,150585,153249,155742,158220,160563,162863,165100,167359,169460,171488,173550,175486,177383,179226,181066,182765,184433,186157,187739,189297,190800,192232,193633,195029,196405,197755,199061,200261,201492,202724,203909,204994,206176,207272,208299,209339,210422,211403,212374,213315,214234,215139,215986,216776,217607,218421,219211,219951,220692,221430,222145,222869,223504,224203,224878,225532,226167,226783,227377,227954,228522,229099,229621,230150,230665,231171,231636,232122,232556,233020,233506,233955,234421,234829,
58270,0,0,1,15,87,255,623,1194,2028,3219,4700,6552,8602,10925,13508,16288,19122,22031,25101,28355,31615,34782,38144,41319,44621,47903,51093,54314,57413,60611,63696,66666,69564,72432,75314,78053,80812,83477,86137,88640,91154,93611,95873,98150,100447,102655,104781,106799,108835,110810,112700,114594,116402,118204,119875,121583,123247,124841,126424,127965,129445,130900,132332,133721,135148,136434,137735,139017,140209,141437,142611,143747,144805,145884,146942,147970,148986,149995,150940,151884,152814,153733,154628,155502,156270,157082,157877,158664,159471,160221,160916,161652,162364,163048,163741,164376,165023,165608,166232,166794,167354,167887,168410,168967,169507,170063,170560,171061,171524,171991,172480,172918,173312,173722,174168,174599,174972,175382,175780,
58280,0,0,0,0,5,28,85,210,377,692,1152,1739,2471,3360,4394,5498,6770,8134,9665,11264,12914,14665,16366,18196,20011,21924,23804,25715,27592,29501,31379,33330,35212,37184,39128,40940,42790,44545,46278,48052,49767,51485,53232,54857,56444,58093,59656,61146,62662,64098,65531,66901,68275,69591,70942,72323,73622,74834,76045,77171,78347,79442,80563,81569,82587,83630,84619,85640,86590,87495,88408,89347,90223,91076,91900,92722,93499,94284,95019,95761,96529,97245,97966,98684,99336,100010,100674,101289,101895,102522,103137,103696,104277,104819,105364,105914,106435,106986,107461,107904,108413,108922,109422,109849,110344,110785,111213,111604,112011,112389,112777,113139,113548,113922,114253,114608,114942,115283,115600,
58291,2897,34129,110525,216965,334785,451464,561767,661901,751418,831005,901395,963740,1019278,1068525,1112108,1151155,1186253,1217929,1246217,1271976,1295576,1316756,1336192,1353905,1370089,1385041,1398904,1411789,1423426,1434362,1444476,1453858,1462511,1470718,1478289,1485447,1492166,1498297,1504173,1509587,1514860,1519664,1524264,1528655,1532833,1536804,1540534,1544186,1547460,1550663,1553611,1556436,1559179,1561725,1564168,1566477,1568655,1570780,1572909,1574929,1576813,1578544,1580236,1581875,1583407,1584955,1586359,1587753,1589033,1590289,1591459,1592608,1593686,1594739,1595781,1596696,1597597,1598476,1599317,1600152,1600961,1601757,1602514,1603247,1603962,1604593,1605247,1605949,1606527,1607150,1607722,1608301,1608825,1609331,1609812,1610283,1610786,1611254,1611739,1612129,1612544,1612968,1613372,1613722,1614105,1614475,1614797,1615132,1615438,1615743,1616041,1616337,1616620,1616892,1617165,1617410,1617656,1617949,1618184,
58300,154,4784,24626,65154,121657,187711,256984,326863,393704,456484,515268,569710,619714,665560,707376,745639,780574,812837,842134,869007,893734,916507,937412,956920,974935,991809,1007248,1021618,1034985,1047540,1059350,1070143,1080394,1089732,1098672,1106841,1114665,1122080,1129103,1135652,1141921,1147867,1153521,1158839,1163890,1168592,1173173,1177376,1181375,1185313,1189060,1192575,1195967,1199136,1202149,1204988,1207759,1210395,1212960,1215410,1217747,1219954,1222097,1224089,1225978,1227854,1229609,1231293,1232900,1234542,1236122,1237589,1239052,1240385,1241688,1242895,1244088,1245267,1246334,1247438,1248494,1249518,1250516,1251455,1252412,1253235,1254087,1254875,1255684,1256418,1257144,1257865,1258539,1259201,1259856,1260492,1261072,1261652,1262188,1262739,1263277,1263830,1264348,1264861,1265325,1265784,1266217,1266629,1267040,1267459,1267873,1268259,1268642,1269013,1269379,1269714,1270047,1270354,1270654,
58310,18,1316,9393,29408,61865,104082,152810,203884,255803,306421,354913,400944,444502,484533,522199,557401,589721,619797,647503,673533,697728,720158,740829,759886,777640,794134,809652,823913,837600,850024,861823,872932,883258,892996,902307,910801,918970,926656,933849,940823,947407,953585,959429,965027,970346,975329,980184,984807,989124,993167,997109,1000902,1004417,1007955,1011214,1014361,1017341,1020235,1022897,1025513,1028002,1030407,1032754,1035019,1037161,1039224,1041135,1042990,1044809,1046584,1048259,1049825,1051374,1052879,1054290,1055729,1057025,1058314,1059592,1060717,1061865,1062925,1063973,1065036,1065996,1066963,1067854,1068706,1069582,1070381,1071182,1071975,1072746,1073513,1074179,1074867,1075502,1076109,1076734,1077319,1077888,1078416,1078955,1079523,1080089,1080593,1081050,1081525,1081989,1082433,1082860,1083267,1083677,1084099,1084483,1084878,1085227,1085555,1085888,
58320,2,321,2920,11343,27302,51078,81034,114620,150618,187810,224837,260992,295673,329157,360790,390872,418900,445257,470082,493396,515464,536094,555168,573089,590142,605792,620666,634472,647541,659831,671457,682329,692500,702249,711282,719916,728158,735926,743226,750184,756769,763043,769007,774610,779938,784993,790041,794713,799221,803409,807369,811150,814831,818360,821827,825082,828239,831119,833905,836638,839174,841716,844048,846255,848516,850662,852743,854670,856542,858339,860094,861819,863460,865002,866462,867961,869384,870713,872034,873348,874546,875714,876852,877908,879036,880022,880996,881949,882858,883697,884560,885431,886177,886968,887763,888485,889166,889866,890509,891177,891765,892413,893022,893601,894136,894668,895204,895701,896234,896715,897166,897589,897974,898413,898822,899239,899625,900042,900401,
58330,0,44,662,3437,9934,21129,36648,55960,78059,102272,127368,153030,178937,204324,228632,252069,274908,296766,317359,336845,355486,373342,390041,405881,420841,435257,448649,461488,473448,484741,495333,505505,515136,524302,532993,541285,549101,556343,563385,569979,576387,582412,588149,593658,598894,603987,608758,613243,617757,621943,625888,629671,633393,636844,640267,643430,646505,649458,652342,655089,657805,660248,662731,665048,667288,669449,671485,673505,675295,677076,678865,680619,682281,683883,685409,686843,688282,689639,690990,692323,693628,694859,696034,697138,698252,699249,700273,701271,702239,703165,704115,704989,705817,706616,707427,708162,708920,709629,710288,710970,711608,712238,712844,713400,713974,714523,715056,715583,716083,716584,717073,717544,718009,718478,718881,719284,719684,720070,720464,
58340,0,12,240,1622,5315,12218,22808,36385,52640,71141,90614,110778,131672,152826,173580,193989,213721,232852,251160,268908,285765,301879,317198,331768,345676,358680,371134,383005,394263,405006,415079,424588,433743,442328,450584,458380,465827,472886,479697,486123,492225,498165,503814,509177,514308,519139,523862,528309,532411,536440,540274,543993,547651,551078,554291,557404,560419,563318,566078,568787,571399,573869,576210,578516,580638,582833,584908,586923,588850,590648,592493,594269,595940,597558,599110,600536,601966,603386,604735,606018,607184,608389,609557,610722,611871,612919,613967,614944,615926,616899,617800,618671,619481,620322,621110,621836,622556,623303,624034,624683,625315,625939,626562,627175,627741,628326,628851,629378,629874,630322,630792,631246,631712,632158,632578,633006,633393,633739,634114,
58350,0,3,88,788,2675,6873,13492,22654,34118,47351,62267,77975,94535,111307,128063,144703,161355,177452,193142,208323,222946,237042,250667,263618,276037,287961,299172,309958,320186,329807,339018,348061,356313,364474,372258,379652,386636,393252,399493,405509,411341,416858,422120,427297,432167,436811,441226,445439,449614,453526,457261,460882,464403,467712,470882,473911,476825,479701,482519,485067,487597,490029,492340,494475,496678,498820,500872,502768,504668,506458,508242,509936,511619,513156,514663,516133,517554,518956,520212,521535,522723,523938,525055,526212,527277,528281,529336,530260,531245,532157,533029,533858,534660,535477,536248,537025,537722,538439,539134,539797,540436,541055,541663,542206,542798,543378,543914,544434,544937,545435,545910,546400,546833,547257,547698,548133,548566,549001,549357,
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58510,35,1340,7607,21628,43187,70412,100981,133264,166144,198166,229491,259161,287253,313697,339017,362819,384958,405459,424685,442794,459381,475275,490308,504120,517022,529208,540851,551735,561897,571687,580762,589195,597438,605224,612563,619557,626194,632418,638180,643718,649083,654145,659041,663724,668144,672386,676464,680349,684024,687545,690883,694076,697183,700064,702840,705560,708292,710801,713186,715544,717793,719859,721882,723868,725780,727619,729311,730971,732595,734212,735742,737249,738643,740004,741275,742555,743766,744884,745986,747089,748243,749230,750242,751170,752129,753024,753856,754721,755532,756255,757024,757767,758491,759175,759841,760489,761105,761703,762258,762808,763347,763888,764450,764949,765457,765964,766404,766857,767306,767738,768192,768577,768998,769383,769767,770115,770460,770808,771139,
58520,8,532,4001,12736,27466,47351,70771,96321,123051,150158,176777,202374,227047,250700,273456,294703,314812,334022,352001,368718,384626,399520,413531,426713,439212,450849,461777,472231,481950,491381,500071,508619,516586,524263,531378,538236,544704,550876,556599,562171,567401,572410,577073,581689,586089,590404,594363,598229,601891,605316,608621,611776,614811,617755,620468,622985,625649,628120,630464,632809,635104,637261,639294,641210,643074,644775,646521,648239,649887,651446,652953,654362,655733,657134,658444,659678,660891,662075,663208,664329,665398,666419,667397,668351,669256,670119,671017,671846,672682,673476,674244,674983,675690,676391,677036,677697,678296,678911,679524,680076,680621,681171,681736,682255,682731,683252,683718,684189,684665,685099,685510,685910,686319,686678,687055,687414,687755,688099,688429,
58530,7,229,1943,6988,16220,30094,47185,66478,87235,108718,130528,152262,173363,193623,213181,232009,249905,266752,283047,298385,312729,326173,338984,351343,362968,374011,384461,394369,403759,412702,420966,428848,436241,443490,450508,457115,463416,469436,475083,480404,485469,490326,495007,499533,503702,507890,511765,515443,519018,522471,525708,528869,531892,534783,537453,540144,542623,545096,547445,549730,551912,553951,556036,557981,559859,561696,563461,565138,566783,568308,569767,571264,572713,574069,575374,576704,577907,579134,580258,581367,582445,583488,584513,585488,586391,587293,588152,589027,589829,590637,591423,592248,592981,593640,594343,595028,595678,596269,596862,597425,597983,598523,599058,599553,600027,600508,600968,601451,601878,602299,602728,603139,603555,603940,604268,604622,604983,605315,605647,
58540,0,78,778,3393,8771,17388,28833,42824,58180,74751,91747,109012,126211,143092,159491,175573,191069,205796,219771,233422,246544,258970,270832,282070,292645,302933,312539,321681,330374,338684,346415,353985,361235,368155,374593,380722,386592,392292,397766,402958,407931,412806,417253,421538,425530,429564,433361,436927,440413,443674,446693,449696,452602,455388,458028,460596,463042,465388,467727,469911,472066,474093,475997,477917,479736,481483,483194,484888,486445,488007,489472,490890,492265,493583,494883,496114,497291,498458,499580,500716,501814,502858,503848,504841,505750,506713,507588,508374,509206,509980,510757,511528,512204,512888,513588,514211,514834,515406,516022,516616,517173,517722,518218,518707,519215,519699,520158,520621,521044,521479,521927,522353,522762,523109,523462,523822,524197,524537,524912,
58550,0,23,284,1420,4169,9074,16068,25098,35654,47491,59896,73058,86359,99669,112793,125905,138642,151163,163167,174714,185792,196419,206656,216442,225729,234810,243199,251496,259385,266890,274078,280891,287437,293597,299521,305154,310550,315790,320768,325620,330230,334619,338745,342818,346668,350300,353930,357299,360686,363877,366912,369736,372530,375186,377774,380141,382547,384790,387049,389140,391177,393181,395122,396913,398689,400384,402073,403756,405321,406791,408159,409617,410878,412198,413416,414648,415868,417029,418137,419172,420210,421214,422221,423143,424060,424996,425863,426716,427500,428278,429039,429724,430493,431192,431845,432504,433116,433734,434327,434872,435416,435969,436493,437007,437517,438021,438477,438918,439354,439785,440214,440597,441005,441398,441764,442093,442458,442810,443156,
58560,0,7,129,799,2474,5643,10513,17144,25162,34570,44714,55285,66165,77249,88751,100050,111017,121865,132410,142805,152710,162364,171512,180288,188710,197007,204887,212509,219831,226863,233422,239786,246006,251726,257305,262726,267742,272674,277290,281764,286039,290096,294072,297928,301679,305224,308518,311905,315003,317961,320900,323736,326464,329049,331614,333986,336273,338467,340600,342651,344720,346641,348539,350361,352149,353784,355384,356990,358397,359846,361278,362674,363929,365219,366422,367580,368778,369893,370951,372023,373029,373978,374956,375871,376718,377567,378417,379251,380063,380809,381486,382222,382925,383605,384284,384867,385487,386111,386709,387300,387822,388315,388813,389302,389729,390186,390620,391047,391470,391869,392281,392682,393060,393423,393783,394152,394506,394833,395158,
58570,0,1,62,389,1358,3459,6665,11223,17060,23982,31699,40235,49136,58271,67617,76997,86291,95554,104550,113473,122102,130385,138578,146438,153908,161322,168358,175228,181871,188209,194245,199923,205480,210851,215994,220882,225682,230341,234672,238775,242776,246724,250455,254087,257607,260906,264168,267210,270276,273107,275905,278551,281127,283567,285967,288290,290543,292678,294699,296621,298545,300390,302160,303864,305570,307111,308686,310198,311655,313102,314485,315707,316991,318247,319448,320573,321663,322714,323756,324778,325752,326656,327575,328423,329273,330092,330919,331692,332436,333153,333875,334578,335221,335914,336570,337212,337818,338404,338968,339520,340049,340549,341070,341561,342063,342516,342977,343401,343834,344251,344607,344977,345335,345701,346051,346405,346738,347064,347375,
58580,0,1,14,127,647,1805,3779,6832,10749,15735,21468,27662,34482,41622,49064,56811,64425,72082,79488,87086,94432,101614,108714,115452,122145,128718,135038,141112,147034,152626,158113,163366,168359,173250,177838,182370,186696,190914,194797,198753,202525,206089,209575,212943,216159,219310,222356,225272,227956,230650,233224,235758,238063,240368,242605,244747,246829,248784,250661,252480,254290,255953,257665,259327,260865,262367,263844,265323,266659,268028,269300,270558,271751,272907,274033,275100,276167,277189,278142,279103,279981,280906,281751,282578,283409,284245,285031,285809,286531,287267,287932,288589,289254,289856,290479,291027,291614,292210,292756,293301,293833,294364,294842,295279,295766,296241,296664,297093,297476,297862,298233,298600,298969,299341,299673,300017,300327,300638,300957,
58590,0,1,5,52,275,871,1973,3776,6251,9480,13204,17617,22516,27832,33327,39025,45003,51157,57220,63413,69597,75507,81354,87025,92635,98077,103467,108665,113688,118728,123495,128157,132660,136861,140962,144902,148784,152533,156237,159730,163133,166353,169528,172494,175468,178308,180994,183512,186092,188581,190964,193171,195380,197498,199601,201592,203473,205259,207026,208751,210509,212182,213773,215242,216759,218166,219584,220968,222200,223446,224667,225842,226931,228030,229097,230082,231116,232054,232964,233882,234776,235630,236430,237207,237999,238739,239456,240137,240835,241496,242144,242841,243484,244055,244685,245265,245768,246311,246815,247341,247863,248334,248799,249217,249630,250054,250456,250886,251282,251621,252011,252373,252716,253042,253370,253687,254003,254312,254645,
58600,0,0,3,22,104,348,888,1782,3199,5075,7454,10332,13614,17231,21069,25264,29640,34142,38712,43379,48102,52743,57215,61863,66373,70876,75218,79521,83884,87955,91884,95610,99473,103172,106624,110037,113422,116682,119787,122762,125645,128453,131164,133897,136614,139154,141561,143915,146136,148332,150495,152542,154638,156563,158431,160144,161873,163553,165154,166734,168211,169756,171155,172498,173862,175137,176360,177597,178778,179932,181094,182177,183211,184153,185115,186016,186924,187827,188681,189529,190368,191122,191880,192648,193382,194076,194788,195468,196150,196791,197372,197955,198546,199118,199692,200240,200735,201223,201689,202174,202631,203093,203555,204000,204393,204803,205192,205589,205969,206309,206653,206985,207291,207574,207887,208209,208510,208819,209078,
58610,0,0,1,7,42,111,372,822,1545,2638,4052,5854,7933,10364,13013,15980,19034,22262,25700,29213,32802,36382,39903,43352,46974,50508,53939,57432,60791,64203,67577,70801,73828,76996,80013,82800,85675,88490,91280,93861,96326,98815,101214,103570,105800,108076,110195,112304,114358,116264,118158,120004,121719,123458,125119,126727,128245,129719,131192,132601,134024,135295,136525,137761,139013,140173,141340,142412,143463,144552,145599,146574,147600,148528,149443,150274,151101,151938,152747,153529,154297,154996,155688,156347,157044,157750,158402,158996,159605,160190,160786,161334,161920,162473,163005,163499,163952,164453,164893,165346,165766,166187,166609,166996,167391,167758,168156,168489,168853,169181,169514,169834,170163,170484,170799,171094,171366,171648,171921,
58620,0,0,0,1,8,38,142,336,664,1176,1915,2880,4049,5448,7083,8931,10972,13101,15392,17761,20271,22775,25406,28068,30641,33284,35896,38500,41195,43724,46326,48914,51356,53795,56319,58615,60926,63146,65347,67492,69594,71628,73596,75583,77497,79329,81038,82837,84528,86171,87674,89284,90776,92283,93733,95070,96339,97566,98784,100019,101180,102298,103439,104571,105649,106674,107684,108613,109566,110517,111439,112313,113120,113934,114743,115567,116321,117046,117808,118525,119194,119823,120431,121101,121720,122342,122930,123539,124117,124680,125229,125720,126198,126678,127145,127619,128084,128510,128935,129346,129721,130072,130456,130852,131236,131600,131944,132262,132578,132892,133192,133459,133770,134064,134343,134613,134867,135084,135326,
58630,0,0,0,0,1,7,35,77,178,366,691,1082,1664,2378,3162,4110,5190,6419,7721,9223,10676,12284,13852,15564,17235,18968,20702,22498,24260,26018,27887,29724,31532,33229,34981,36750,38452,40155,41751,43334,44964,46527,48015,49520,50987,52457,53878,55228,56559,57851,59141,60368,61510,62644,63803,64919,65995,67035,68110,69169,70144,71123,72036,72941,73791,74673,75491,76297,77153,77940,78663,79417,80090,80764,81460,82099,82732,83322,83929,84510,85090,85610,86129,86678,87219,87740,88237,88704,89174,89644,90113,90559,90948,91370,91783,92192,92562,92917,93295,93639,94017,94352,94678,95000,95296,95602,95924,96229,96491,96762,97033,97282,97531,97790,98017,98241,98470,98671,98881,
58640,0,0,0,0,0,2,4,11,27,72,156,276,453,681,985,1357,1784,2248,2832,3497,4165,4923,5735,6618,7484,8370,9326,10315,11354,12352,13393,14459,15546,16693,17755,18790,19774,20825,21880,22947,23964,24983,25980,27014,27986,28984,29949,30887,31822,32750,33603,34437,35293,36104,36943,37719,38545,39331,40099,40833,41555,42284,43019,43696,44391,45063,45689,46280,46897,47465,48052,48612,49150,49683,50230,50703,51133,51607,52040,52488,52930,53335,53750,54172,54590,55013,55423,55796,56166,56503,56842,57193,57543,57866,58233,58541,58858,59191,59485,59758,60017,60274,60536,60805,61048,61296,61535,61776,61998,62205,62412,62625,62813,62987,63188,63396,63584,63778,63959,
58651589,58720,190621,336326,470760,586795,684853,768192,838849,899548,951288,996446,1036224,1070958,1102094,1129519,1153877,1175994,1195720,1213715,1230022,1244971,1258688,1271120,1282774,1293560,1303461,1312601,1321190,1329183,1336585,1343428,1349766,1355789,1361421,1366798,1371759,1376609,1381077,1385260,1389247,1392970,1396590,1399879,1403116,1406114,1409029,1411782,1414326,1416832,1419240,1421503,1423722,1425793,1427723,1429613,1431394,1433086,1434778,1436309,1437761,1439225,1440621,1441953,1443197,1444466,1445696,1446819,1447889,1448899,1449957,1450945,1451820,1452731,1453634,1454484,1455296,1456057,1456784,1457498,1458182,1458881,1459576,1460215,1460828,1461396,1461960,1462528,1463140,1463661,1464169,1464615,1465067,1465486,1465879,1466294,1466720,1467088,1467477,1467843,1468211,1468566,1468882,1469232,1469517,1469805,1470093,1470377,1470682,1470958,1471214,1471465,1471703,1471934,1472186,1472412,1472640,1472872,1473079,1473311,
5866112,15128,73931,161450,255857,345964,428476,501826,566301,623060,673566,718331,757928,793325,825337,853619,879686,903113,924227,943794,961468,977844,992848,1006648,1019608,1031387,1042318,1052515,1061979,1070631,1078991,1086796,1094097,1101050,1107387,1113388,1119155,1124516,1129630,1134461,1139018,1143243,1147384,1151253,1154949,1158513,1161856,1165013,1168011,1170929,1173665,1176311,1178788,1181153,1183401,1185610,1187668,1189703,1191639,1193419,1195174,1196863,1198494,1200076,1201650,1203035,1204444,1205794,1207101,1208325,1209527,1210654,1211722,1212787,1213794,1214787,1215710,1216610,1217520,1218332,1219200,1220021,1220833,1221607,1222332,1223022,1223753,1224414,1225046,1225647,1226248,1226878,1227438,1227934,1228471,1228973,1229450,1229914,1230385,1230842,1231263,1231666,1232046,1232474,1232837,1233190,1233510,1233867,1234227,1234520,1234859,1235158,1235447,1235714,1235999,1236271,1236542,1236788,1237045,1237274,
586719,5959,38789,97608,168159,240537,310342,374373,432217,484518,531639,574084,612257,646662,677640,705643,731088,754374,775824,795508,813476,830042,845349,859356,872546,884550,895817,906446,916336,925553,934170,942348,949914,957073,963750,970032,976096,981721,987175,992192,996948,1001478,1005768,1009910,1013895,1017582,1021188,1024639,1027920,1030975,1033884,1036698,1039400,1041977,1044331,1046658,1048879,1051008,1053173,1055135,1057021,1058825,1060608,1062279,1063897,1065475,1067000,1068494,1069901,1071195,1072423,1073657,1074832,1075964,1077011,1078049,1079103,1080093,1081074,1082022,1082888,1083753,1084647,1085449,1086189,1086951,1087673,1088365,1089035,1089650,1090287,1090852,1091443,1092023,1092625,1093144,1093647,1094177,1094671,1095152,1095589,1096018,1096482,1096922,1097328,1097699,1098110,1098487,1098829,1099161,1099468,1099793,1100112,1100431,1100740,1101048,1101342,1101610,1101903,1102168,
58680,1872,17164,51443,98605,152306,206283,258557,307727,353586,395724,433769,468723,501134,530453,557568,582179,604468,625244,644233,661780,678266,693448,707500,720660,733017,744357,754923,765022,774463,783414,791844,799782,806952,813941,820537,826687,832608,838158,843389,848483,853079,857539,861779,865858,869717,873515,877091,880474,883639,886767,889683,892524,895205,897788,900242,902601,904773,906943,909007,910908,912812,914605,916292,917986,919642,921212,922701,924116,925485,926824,928183,929469,930710,931925,933065,934130,935223,936290,937280,938267,939198,940046,940912,941736,942505,943289,944081,944808,945514,946169,946801,947469,948094,948702,949277,949799,950357,950886,951366,951828,952268,952737,953209,953620,954039,954471,954829,955218,955575,955937,956266,956623,956952,957225,957586,957909,958188,958468,958762,
58690,363,5812,22207,49185,83971,121974,160852,199005,235876,270726,303384,333660,361980,388308,412846,435357,455970,475338,493409,510383,526098,540799,554315,566804,578808,589945,600410,610192,619478,628257,636650,644352,651774,658744,665291,671367,677317,682952,688120,693155,697929,702422,706755,710764,714812,718594,722208,725725,728943,732050,735098,738064,740870,743507,746034,748500,750855,753113,755198,757252,759185,761080,762878,764588,766257,767804,769286,770786,772269,773709,775042,776351,777609,778764,779911,781108,782200,783234,784257,785210,786115,787058,787948,788811,789615,790424,791187,791980,792652,793357,794040,794702,795326,795953,796533,797134,797705,798235,798766,799294,799750,800245,800714,801138,801574,802026,802454,802834,803265,803702,804075,804422,804800,805150,805473,805808,806107,806406,806743,
58700,145,3015,13293,32203,57469,87301,119163,151114,182884,213318,242405,269880,295399,319628,342108,363254,383025,401253,418231,434049,449020,463022,476076,488416,499817,510643,520905,530541,539708,548290,556434,563955,571146,578066,584441,590511,596498,601962,607272,612234,616830,621407,625807,629872,633866,637635,641196,644558,647860,651065,654073,656888,659676,662344,664885,667321,669712,672029,674182,676206,678245,680129,682036,683888,685538,687197,688771,690303,691729,693127,694451,695761,697029,698335,699506,700651,701775,702868,703874,704933,705907,706840,707812,708691,709481,710302,711143,711912,712647,713394,714125,714794,715425,716087,716695,717257,717895,718440,718973,719480,720004,720479,720971,721438,721869,722297,722755,723206,723597,724031,724406,724772,725132,725468,725819,726153,726458,726765,727067,
58710,44,1414,7266,19530,37837,60434,85449,111671,138077,163955,189101,213197,236189,257623,277788,297042,315099,331915,347889,362790,376871,390023,402424,414263,425293,435655,445370,454512,463207,471431,479154,486421,493597,500355,506651,512782,518407,523770,528915,533896,538627,543061,547243,551415,555319,559060,562592,566001,569255,572312,575253,578039,580773,583463,586021,588374,590689,592921,595114,597158,599190,601082,602878,604654,606355,607953,609525,611098,612564,613949,615339,616713,617971,619172,620361,621519,622593,623682,624693,625621,626561,627528,628485,629335,630190,631013,631738,632483,633195,633943,634671,635384,636050,636651,637277,637870,638460,639040,639599,640133,640663,641182,641652,642120,642570,643024,643458,643843,644219,644611,645005,645367,645723,646080,646443,646794,647111,647416,647758,
58720,19,567,3448,10717,22535,38203,56379,76387,97238,118349,139034,159273,178799,197506,215259,232411,248546,263767,278136,291816,304579,316668,328219,339096,349330,358988,368206,377019,385166,393130,400520,407480,414337,420725,426904,432706,438352,443547,448566,453270,458030,462470,466672,470711,474447,478030,481488,484815,487995,491001,493898,496682,499393,501989,504407,506731,509046,511220,513378,515429,517394,519295,521134,522905,524674,526439,528025,529582,531105,532500,533934,535167,536433,537635,538807,539940,541027,542087,543105,544089,545090,546016,546883,547700,548520,549385,550176,550944,551663,552372,553050,553800,554479,555161,555746,556345,556947,557496,558044,558528,559050,559543,560058,560517,560980,561436,561869,562297,562723,563094,563471,563858,564213,564575,564904,565248,565562,565827,566129,
58730,6,179,1419,5170,12023,21873,34135,48347,63809,79928,95957,112072,127942,143388,158506,172995,186722,200034,212762,224845,236429,247438,257848,267611,276918,285973,294539,302646,309996,317524,324496,330952,337180,343200,348929,354335,359521,364535,369221,373743,378091,382250,386262,390086,393633,397148,400435,403548,406620,409568,412332,415072,417732,420279,422614,424880,427013,429114,431101,433113,435155,437021,438837,440540,442238,443780,445386,446899,448317,449663,450964,452231,453479,454642,455797,456955,458000,459075,460125,461126,462105,463022,463917,464769,465628,466428,467223,468031,468810,469501,470216,470933,471554,472205,472868,473469,474088,474668,475197,475732,476254,476730,477225,477712,478179,478631,479048,479431,479820,480218,480612,480984,481315,481661,482015,482342,482673,483021,483294,
58740,1,87,776,3063,7536,14614,23902,35084,47354,60593,74396,88128,101804,115320,128566,141186,153428,165285,176764,187762,198286,208218,217954,227024,235676,244115,251997,259582,266794,273656,280092,286370,292417,298079,303603,308814,313770,318567,323153,327433,331586,335749,339573,343080,346609,349984,353186,356249,359279,362202,364937,367656,370204,372573,374967,377124,379250,381240,383188,385135,386992,388892,390649,392291,393880,395387,396912,398330,399727,401118,402417,403707,404928,406141,407282,408471,409536,410579,411559,412540,413526,414440,415325,416111,416979,417825,418615,419371,420107,420859,421517,422154,422791,423441,424076,424641,425241,425813,426393,426877,427342,427835,428301,428763,429198,429615,430021,430447,430864,431253,431632,432022,432374,432753,433113,433437,433753,434077,434394,
58750,0,36,390,1701,4460,9284,15993,24264,33683,44130,54834,66402,77867,89151,100345,111227,121918,132417,142537,152445,161807,170780,179322,187713,195729,203441,210736,217690,224339,230761,236787,242723,248419,253764,258855,263839,268515,272941,277164,281267,285294,289134,292883,296302,299648,302848,305914,308899,311760,314487,317092,319684,322049,324440,326621,328754,330918,332914,334866,336702,338518,340283,341992,343601,345097,346642,348169,349531,350945,352239,353440,354628,355823,356975,358081,359193,360220,361240,362235,363196,364132,365008,365891,366735,367571,368412,369174,369925,370684,371401,372091,372786,373406,373999,374603,375212,375734,376299,376824,377344,377858,378319,378757,379237,379685,380125,380532,380896,381321,381676,382023,382414,382765,383131,383462,383808,384129,384433,384733,
58760,0,10,146,816,2423,5413,9742,15557,22367,30207,38563,47519,56667,65849,75127,84402,93502,102378,111058,119505,127634,135586,143250,150556,157744,164613,171140,177518,183465,189283,194774,200256,205369,210429,215018,219529,223843,227996,232091,235968,239565,243030,246477,249752,252931,255962,258917,261721,264463,267013,269417,271867,274119,276318,278457,280493,282535,284383,286200,287939,289632,291207,292821,294473,296046,297463,298943,300271,301617,302931,304117,305337,306462,307616,308749,309755,310719,311668,312659,313613,314480,315361,316200,316993,317757,318499,319230,319965,320682,321371,322060,322694,323316,323867,324457,325064,325624,326122,326628,327151,327643,328089,328561,329016,329506,329920,330356,330730,331128,331519,331892,332201,332522,332873,333173,333493,333772,334071,334353,
58770,0,1,65,350,1166,2846,5550,9146,13777,19194,25216,31759,38739,45796,53191,60529,67823,75180,82366,89620,96566,103297,109893,116195,122357,128335,134132,139710,145145,150315,155448,160303,164910,169300,173597,177700,181544,185200,188836,192285,195694,198954,202114,205200,208174,211033,213634,216216,218812,221228,223618,225879,228022,230091,232102,234062,235911,237794,239505,241138,242805,244361,245912,247403,248811,250170,251531,252812,254090,255288,256435,257610,258773,259865,260929,261877,262872,263780,264747,265589,266452,267304,268165,268938,269653,270404,271112,271815,272456,273124,273736,274336,274951,275520,276043,276592,277103,277606,278089,278594,279047,279474,279926,280362,280801,281210,281640,282032,282355,282727,283099,283424,283774,284098,284412,284740,285040,285353,285646,
58780,0,0,16,123,460,1303,2746,4826,7527,11009,15067,19517,24374,29508,34814,40282,45871,51463,57136,62779,68384,73972,79276,84612,89706,94722,99692,104305,108937,113421,117705,121867,125881,129617,133283,136787,140256,143640,146977,150141,153072,156005,158797,161492,164112,166650,169019,171403,173664,175865,178036,180119,182098,184041,185856,187633,189370,191059,192719,194223,195704,197166,198596,199959,201315,202548,203795,205036,206187,207284,208377,209394,210430,211437,212337,213244,214159,215001,215847,216682,217494,218285,219004,219778,220493,221206,221884,222530,223165,223787,224372,224957,225520,226081,226644,227165,227654,228148,228600,229055,229509,229943,230362,230781,231182,231568,231935,232317,232683,233034,233376,233731,234015,234347,234634,234913,235207,235476,235745,
58790,0,0,2,21,176,559,1261,2380,4013,6146,8751,11705,15039,18660,22611,26522,30724,34985,39345,43679,47993,52271,56658,60821,65063,69316,73391,77394,81170,84952,88581,92063,95510,98862,102132,105280,108336,111239,114007,116788,119456,122164,124621,127103,129352,131608,133823,135929,137899,139845,141742,143520,145371,147034,148727,150312,151903,153372,154836,156284,157619,158966,160238,161483,162654,163826,165002,166082,167130,168136,169131,170105,171050,171979,172876,173757,174600,175423,176206,177006,177728,178431,179150,179837,180502,181155,181825,182465,183028,183617,184176,184751,185257,185780,186298,186772,187230,187699,188186,188627,189072,189515,189927,190314,190717,191094,191438,191808,192163,192480,192815,193113,193416,193731,194004,194289,194580,194859,195130,
58800,0,0,0,5,48,178,456,918,1737,2833,4294,6062,8038,10382,12911,15593,18402,21446,24450,27750,30926,34129,37325,40503,43691,46912,49951,53075,56013,58927,61845,64652,67400,70136,72786,75404,77958,80439,82812,85206,87497,89591,91633,93708,95678,97626,99436,101206,102975,104642,106319,107866,109394,110889,112300,113743,115159,116500,117826,119058,120217,121430,122562,123703,124742,125758,126756,127701,128680,129643,130549,131440,132306,133120,133897,134661,135424,136166,136880,137549,138229,138902,139532,140136,140743,141330,141928,142483,143021,143608,144107,144631,145146,145632,146096,146533,146998,147395,147791,148219,148598,148973,149372,149747,150098,150434,150756,151064,151387,151683,151991,152249,152569,152849,153142,153408,153644,153874,154134,
58810,0,0,0,2,11,35,109,282,581,1024,1664,2528,3574,4761,6198,7697,9374,11233,13091,15027,17135,19258,21323,23525,25764,27891,30077,32239,34371,36471,38621,40754,42868,44940,46944,48840,50735,52519,54332,56073,57806,59598,61250,62914,64485,66056,67504,68927,70338,71660,73059,74369,75614,76852,78046,79132,80295,81473,82591,83576,84639,85614,86562,87416,88340,89230,90088,90941,91746,92511,93278,94046,94737,95455,96162,96816,97451,98097,98686,99260,99848,100442,100982,101506,102058,102565,103117,103616,104095,104567,105009,105446,105891,106291,106693,107118,107500,107900,108285,108626,109005,109330,109650,109969,110274,110568,110839,111141,111424,111660,111901,112150,112409,112611,112844,113089,113328,113564,113778,
58820,0,0,0,0,0,3,12,48,108,238,445,715,1082,1533,2066,2689,3390,4212,5084,6040,7099,8213,9336,10514,11736,12983,14213,15465,16730,18065,19423,20761,22102,23398,24676,25882,27185,28388,29628,30872,32041,33163,34307,35410,36501,37554,38571,39658,40648,41633,42555,43500,44416,45343,46257,47150,48033,48911,49706,50440,51197,51978,52719,53454,54152,54831,55554,56186,56819,57453,58052,58633,59192,59735,60217,60737,61230,61700,62188,62670,63190,63628,64033,64452,64902,65304,65712,66107,66513,66880,67260,67614,67956,68269,68581,68890,69212,69522,69803,70095,70382,70635,70909,71179,71462,71714,71939,72133,72381,72606,72834,73057,73274,73479,73665,73858,74050,74256,74426,
58835110,95456,252109,404661,535189,644309,734528,809862,873851,927920,974304,1014497,1049688,1080220,1107656,1131698,1153317,1173158,1190662,1206867,1221428,1234642,1246870,1258102,1268466,1278044,1287070,1295584,1303323,1310438,1317055,1323283,1329197,1334688,1339808,1344836,1349348,1353530,1357671,1361537,1365219,1368700,1371981,1375040,1378080,1380963,1383695,1386199,1388632,1390883,1393144,1395218,1397202,1399070,1400859,1402696,1404302,1405858,1407359,1408874,1410269,1411665,1412961,1414212,1415394,1416578,1417723,1418779,1419750,1420752,1421638,1422532,1423455,1424300,1425074,1425870,1426592,1427342,1428000,1428670,1429339,1429990,1430566,1431157,1431751,1432309,1432858,1433402,1433903,1434391,1434911,1435329,1435747,1436184,1436600,1437016,1437405,1437766,1438116,1438456,1438792,1439146,1439481,1439792,1440098,1440371,1440668,1440925,1441196,1441434,1441690,1441907,1442140,1442378,1442616,1442839,1443059,1443253,1443457,1443672,
5884655,31794,115804,219741,320999,412549,492975,562362,622455,675021,721000,761631,797281,829320,858052,883890,907150,928197,947131,964476,980411,994990,1008721,1020901,1032339,1043095,1052811,1061985,1070666,1078655,1086177,1093221,1099803,1106052,1111967,1117604,1122791,1127715,1132379,1136767,1140961,1144986,1148729,1152393,1155735,1158978,1161974,1164804,1167621,1170181,1172751,1175171,1177519,1179655,1181728,1183798,1185796,1187669,1189469,1191191,1192844,1194402,1195934,1197311,1198693,1200050,1201407,1202602,1203823,1205020,1206094,1207128,1208125,1209095,1210045,1210968,1211855,1212764,1213558,1214298,1215074,1215838,1216560,1217236,1217906,1218557,1219215,1219778,1220380,1220948,1221488,1221991,1222486,1222994,1223489,1223948,1224394,1224838,1225260,1225684,1226116,1226479,1226822,1227179,1227530,1227865,1228174,1228510,1228841,1229115,1229407,1229713,1230009,1230265,1230498,1230744,1230988,1231221,1231468,1231696,
5885156,14762,68154,144758,226309,303992,375065,438522,494662,544294,588671,628146,663145,695010,723482,748969,772472,793439,812820,830463,846936,861871,875518,888313,900153,911169,921538,931056,939889,948334,956090,963420,970209,976768,982835,988682,994269,999363,1004291,1008882,1013236,1017373,1021344,1025070,1028667,1032088,1035296,1038354,1041300,1044096,1046722,1049286,1051627,1053953,1056174,1058312,1060315,1062276,1064171,1065893,1067660,1069296,1070906,1072428,1073845,1075295,1076669,1077950,1079209,1080421,1081566,1082696,1083841,1084900,1085898,1086928,1087876,1088797,1089668,1090556,1091353,1092103,1092839,1093571,1094291,1094966,1095607,1096289,1096898,1097497,1098100,1098646,1099189,1099730,1100235,1100718,1101223,1101717,1102186,1102612,1103046,1103473,1103876,1104268,1104682,1105010,1105369,1105749,1106072,1106375,1106695,1106994,1107300,1107609,1107877,1108125,1108410,1108655,1108912,1109178,
588621,5638,34348,84369,144096,205531,264262,318775,369149,414593,455284,492078,525442,555915,583107,608014,630775,651868,671122,688882,705045,720166,734101,746942,759130,770304,780811,790467,799536,808070,816085,823545,830714,837326,843710,849684,855314,860616,865607,870320,874985,879390,883434,887340,891092,894705,898032,901311,904439,907340,910091,912831,915391,917855,920173,922469,924645,926637,928572,930494,932305,934060,935687,937301,938917,940380,941869,943250,944528,945769,946992,948196,949322,950481,951604,952656,953624,954566,955483,956361,957224,958072,958881,959719,960502,961245,961910,962586,963247,963913,964535,965183,965724,966311,966857,967382,967899,968367,968835,969331,969766,970235,970657,971081,971434,971822,972210,972573,972948,973289,973653,974000,974326,974671,974967,975251,975573,975823,976082,976350,
58871,1606,14109,41698,79906,123290,167990,211089,252180,290572,325944,358437,388398,416049,441271,464907,486521,506274,524717,541796,557782,572310,586085,598636,610489,621493,631711,641419,650390,658911,666992,674644,681871,688464,694859,700870,706666,712028,717231,722084,726664,731049,735275,739316,743224,746875,750413,753685,756859,759934,762845,765654,768294,770865,773342,775635,777869,780039,782089,783975,785823,787735,789478,791129,792751,794355,795857,797291,798680,799991,801330,802551,803772,804950,806065,807176,808156,809196,810150,811101,812049,812941,813777,814620,815421,816190,816934,817624,818317,818996,819677,820346,821001,821593,822176,822698,823281,823785,824248,824735,825217,825679,826157,826581,827000,827406,827817,828215,828608,828951,829343,829711,830050,830374,830718,831028,831325,831611,831891,832163,
58882,727,7998,26978,55770,90093,127221,164213,200321,234045,266103,296072,323705,349443,373272,395082,415737,434839,452613,468947,484245,498260,511438,523605,535248,546039,556285,565736,574663,583205,591074,598648,605788,612596,619007,625081,630776,636126,641239,646067,650646,655011,659302,663214,667044,670713,674187,677576,680786,683845,686751,689496,692169,694787,697266,699557,701806,703933,705985,707974,709883,711714,713461,715242,716878,718473,719882,721418,722804,724198,725546,726881,728106,729269,730395,731548,732580,733591,734638,735604,736535,737415,738292,739085,739853,740682,741425,742133,742881,743593,744262,744927,745550,746124,746708,747238,747786,748306,748818,749299,749804,750299,750771,751219,751643,752074,752488,752875,753239,753597,753932,754270,754596,754941,755268,755589,755890,756184,756490,756780,
58890,273,4107,15764,35887,62030,91392,121479,151857,180978,208901,235710,260604,284092,305889,326507,345445,363277,379655,395279,409705,423128,435785,447653,458549,469032,478797,488130,496905,505106,512907,520249,527139,533858,540212,546172,551804,557089,562133,567089,571745,576175,580281,584317,588209,591760,595159,598460,601728,604827,607748,610456,613129,615802,618274,620578,622855,625020,627151,629173,631100,632984,634820,636577,638198,639820,641401,642901,644271,645655,646989,648289,649507,650598,651718,652822,653877,654941,655976,656967,657876,658819,659727,660649,661491,662283,663090,663869,664586,665321,666034,666682,667298,667933,668521,669103,669701,670252,670765,671286,671778,672231,672686,673137,673564,673993,674403,674797,675204,675612,675984,676344,676723,677074,677419,677724,678038,678346,678629,678927,
58900,77,1917,8604,21486,39690,61413,85168,109563,134138,157921,180493,202272,222611,242194,260455,277858,294411,309655,324057,337568,350176,362178,373373,383925,393988,403315,412289,420759,428564,436041,443151,449854,456331,462404,468175,473720,479081,484095,488681,493187,497455,501463,505313,509094,512611,516001,519407,522500,525452,528353,531076,533754,536186,538672,540956,543148,545343,547454,549458,551383,553147,554989,556670,558321,559972,561562,563001,564441,565741,567046,568420,569710,570961,572099,573295,574405,575439,576400,577390,578305,579250,580112,580954,581796,582596,583408,584149,584855,585569,586250,586968,587619,588204,588818,589430,589980,590540,591092,591599,592127,592613,593052,593523,593981,594400,594830,595206,595600,595976,596325,596667,597032,597398,597735,598052,598371,598681,599012,599278,
58910,28,715,3968,11444,22780,37492,54566,72973,91741,110748,129468,147568,165182,181998,197957,212952,227461,241104,254037,266365,277893,289021,299417,309124,318455,327304,335739,343602,351140,358314,364981,371359,377374,383127,388743,394001,398933,403747,408431,412860,416954,420890,424668,428336,431819,435159,438272,441208,444156,446898,449577,452273,454776,457205,459524,461684,463779,465804,467770,469585,471458,473191,474889,476479,478052,479661,481113,482527,483861,485145,486414,487662,488853,489975,491067,492141,493172,494172,495150,496068,496971,497907,498808,499598,500344,501107,501845,502559,503236,503910,504593,505238,505879,506491,507080,507698,508255,508816,509334,509808,510324,510768,511236,511682,512076,512509,512908,513299,513673,514067,514421,514796,515158,515480,515795,516114,516430,516758,517048,
58920,6,335,2196,7113,15414,26479,39777,54545,70140,86040,102117,117735,133165,148194,162479,176300,189517,202032,213914,225150,236037,246260,255834,265189,273967,282288,290083,297611,304863,311647,317958,324015,329850,335418,340579,345645,350359,354984,359371,363515,367541,371360,375058,378538,381965,385185,388310,391254,394120,396844,399452,402062,404447,406829,409035,411249,413385,415341,417329,419239,421043,422778,424547,426180,427725,429186,430636,432064,433372,434658,435908,437037,438172,439272,440400,441468,442482,443482,444447,445383,446290,447158,448026,448796,449579,450331,451032,451789,452524,453212,453879,454533,455144,455730,456284,456792,457337,457847,458395,458911,459413,459879,460329,460762,461213,461636,462081,462452,462832,463192,463554,463941,464282,464621,464922,465197,465501,465801,466091,
58930,3,159,1166,4131,9612,17460,27368,38764,51188,64369,77913,91265,104662,117458,129877,141657,153367,164569,175364,185774,195749,205007,213973,222415,230552,238129,245665,252532,259133,265592,271629,277476,283033,288163,293243,297948,302465,306797,310946,314951,318887,322546,326082,329498,332777,335897,338914,341701,344491,347053,349649,352108,354565,356829,358973,361020,363038,365091,366918,368719,370471,372182,373727,375359,376815,378245,379623,380944,382211,383407,384602,385739,386890,388019,389123,390150,391162,392141,393092,394022,394923,395746,396565,397351,398146,398901,399631,400394,401097,401755,402414,403054,403701,404319,404842,405382,405938,406492,407056,407507,407981,408415,408874,409323,409782,410178,410594,410999,411367,411765,412115,412447,412795,413144,413423,413707,414009,414323,414628,
58940,1,49,556,2202,5521,10806,17939,26395,35910,46125,56934,67872,78871,89468,99996,110545,120640,130331,139875,148961,157760,166128,174105,181829,189158,196173,202981,209375,215562,221350,226990,232426,237524,242500,247223,251640,255894,260102,264044,267757,271408,274834,278145,281287,284357,287316,290082,292864,295482,298041,300574,302897,305095,307251,309350,311352,313298,315168,316973,318700,320432,322059,323613,325110,326638,328062,329459,330749,331989,333223,334344,335466,336575,337637,338709,339697,340667,341687,342625,343473,344358,345205,346040,346862,347604,348328,349017,349731,350384,351019,351662,352293,352876,353458,354022,354549,355103,355637,356143,356622,357095,357570,357999,358395,358791,359196,359591,359945,360289,360683,361068,361408,361714,362040,362332,362645,362939,363214,363461,
58950,0,17,218,1006,2791,5933,10482,16153,22943,30387,38545,46880,55509,64197,72780,81276,89714,97992,106011,113788,121421,128669,135715,142450,148887,155119,161168,166923,172367,177759,182944,187727,192482,196964,201304,205380,209227,213042,216689,220122,223441,226716,229873,232837,235758,238642,241266,243882,246365,248713,250956,253195,255402,257537,259526,261438,263287,265031,266756,268390,269929,271479,273074,274518,275915,277282,278630,279912,281121,282282,283401,284469,285503,286596,287606,288593,289499,290371,291247,292121,293016,293804,294597,295335,296083,296829,297497,298204,298896,299534,300165,300771,301378,301929,302459,302968,303476,303964,304427,304904,305420,305884,306320,306724,307120,307515,307900,308241,308600,308933,309287,309611,309939,310238,310534,310861,311142,311412,311703,
58960,0,7,80,384,1301,2916,5593,9142,13355,18473,24098,30129,36529,43106,49700,56418,63074,69768,76166,82516,88676,94699,100496,106242,111751,117151,122386,127511,132322,136900,141340,145685,149946,154019,157895,161577,165236,168629,171973,175109,178137,181004,183792,186513,189141,191619,194085,196413,198741,200924,203009,205069,207018,208976,210861,212643,214342,216009,217637,219144,220606,222030,223429,224790,226103,227392,228638,229776,230932,232030,233110,234106,235064,236020,236953,237886,238754,239643,240461,241273,242087,242874,243642,244375,245105,245823,246473,247103,247725,248350,248924,249483,250017,250540,251034,251573,252066,252500,252936,253426,253878,254278,254699,255110,255509,255932,256289,256629,257015,257322,257669,257980,258308,258607,258901,259187,259458,259728,259983,
58970,0,0,17,122,498,1298,2709,4852,7497,10775,14575,18707,23373,28104,32989,38194,43247,48353,53553,58683,63658,68671,73497,78167,82804,87240,91631,95886,100017,104039,107851,111538,115163,118562,121910,125199,128423,131563,134387,137258,139982,142643,145258,147754,150150,152483,154731,156955,158998,161002,162954,164869,166672,168422,170053,171692,173252,174762,176205,177572,178925,180268,181577,182891,184082,185221,186327,187378,188491,189573,190619,191572,192433,193344,194175,194997,195872,196647,197404,198148,198868,199567,200240,200905,201542,202203,202789,203403,203956,204516,205060,205633,206183,206689,207201,207652,208133,208615,209079,209517,209901,210314,210691,211092,211468,211821,212191,212529,212866,213199,213487,213789,214079,214399,214683,214974,215227,215455,215700,
58980,0,0,2,25,149,478,1089,2091,3536,5406,7695,10379,13328,16491,19824,23352,27025,30740,34525,38271,42058,45802,49575,53200,56811,60286,63829,67203,70484,73850,77019,80040,83077,85983,88797,91479,94192,96778,99258,101735,104046,106304,108538,110671,112738,114688,116577,118400,120250,122032,123698,125339,126895,128428,129881,131259,132755,134071,135400,136662,137863,139085,140190,141337,142408,143476,144496,145472,146466,147462,148419,149311,150137,150962,151748,152549,153300,154023,154726,155395,156041,156712,157357,157957,158535,159122,159683,160245,160755,161257,161751,162225,162739,163239,163676,164116,164557,164996,165381,165774,166122,166497,166867,167192,167529,167888,168202,168511,168826,169106,169429,169710,169991,170261,170523,170776,171039,171315,171570,
58990,0,0,0,5,35,123,316,696,1290,2151,3264,4516,6085,7887,9808,11881,14087,16415,18786,21323,23872,26417,29024,31559,34188,36726,39183,41613,44117,46502,48836,51226,53491,55764,58020,60176,62269,64253,66161,68096,69977,71805,73603,75355,77018,78661,80243,81759,83205,84681,86092,87434,88699,90024,91266,92460,93571,94734,95854,96950,97967,99001,99977,100917,101848,102741,103628,104501,105368,106178,106961,107749,108479,109228,109939,110598,111250,111954,112632,113244,113834,114389,114957,115500,116021,116531,117083,117570,118051,118523,119007,119449,119857,120317,120735,121120,121546,121868,122223,122550,122877,123192,123502,123827,124120,124434,124726,125016,125285,125562,125811,126073,126343,126611,126868,127080,127304,127537,127777,
59000,0,0,0,0,4,14,60,140,291,522,832,1288,1830,2495,3241,4186,5193,6299,7471,8825,10111,11566,12962,14398,15874,17343,18820,20298,21796,23354,24842,26366,27895,29388,30868,32334,33706,35108,36436,37767,39050,40388,41636,42863,44090,45238,46442,47545,48632,49704,50766,51720,52696,53695,54625,55561,56438,57351,58186,59006,59856,60624,61362,62096,62825,63588,64273,64953,65574,66203,66837,67426,68036,68593,69168,69708,70266,70789,71295,71741,72230,72681,73114,73549,74009,74442,74882,75269,75628,76011,76384,76746,77105,77442,77789,78106,78419,78707,79029,79305,79596,79877,80164,80435,80680,80948,81190,81453,81699,81940,82177,82396,82617,82831,83036,83246,83440,83620,83806,
590110597,131792,302127,456071,582161,685023,768976,838464,896698,946250,988777,1025277,1057321,1085468,1110549,1132633,1152293,1170353,1186661,1201489,1214893,1227377,1238734,1249179,1258809,1267897,1276142,1283680,1290900,1297570,1303786,1309487,1314970,1320092,1324792,1329260,1333521,1337698,1341553,1345251,1348601,1351767,1354893,1357730,1360542,1363196,1365693,1368112,1370394,1372572,1374623,1376570,1378356,1380265,1381971,1383644,1385220,1386689,1388186,1389614,1390893,1392207,1393380,1394540,1395639,1396675,1397718,1398748,1399704,1400632,1401541,1402373,1403224,1404029,1404813,1405571,1406254,1406994,1407660,1408336,1408965,1409585,1410151,1410712,1411257,1411805,1412331,1412795,1413283,1413761,1414218,1414662,1415104,1415527,1415899,1416275,1416627,1416999,1417360,1417654,1417996,1418330,1418627,1418926,1419169,1419451,1419727,1419983,1420265,1420517,1420757,1420990,1421214,1421450,1421678,1421891,1422089,1422311,1422489,1422677,
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59520,2,7,88,378,1211,2653,4935,7992,11599,15803,20462,25361,30433,35774,41062,46434,51823,56988,62163,67285,72365,77216,81882,86452,90953,95194,99319,103262,107161,110969,114590,118155,121496,124783,127913,131045,133924,136763,139449,142006,144540,146982,149319,151580,153712,155816,157865,159719,161586,163420,165200,166899,168533,170094,171588,173056,174456,175873,177180,178478,179723,180894,182130,183292,184418,185539,186568,187605,188578,189526,190447,191338,192222,193028,193814,194583,195308,196064,196764,197455,198115,198783,199408,200066,200692,201270,201820,202392,202906,203470,203918,204384,204838,205333,205812,206244,206678,207093,207524,207876,208292,208643,208995,209307,209690,210025,210320,210622,210909,211215,211481,211766,212055,212301,212556,212814,213045,213253,213493,
59530,0,1,8,87,334,870,1736,3090,4883,7038,9641,12589,15776,19082,22527,25985,29611,33200,36883,40526,44132,47585,51068,54450,57780,61101,64387,67599,70631,73581,76456,79185,81909,84578,87086,89541,91967,94255,96498,98651,100772,102823,104737,106640,108499,110323,112066,113852,115479,117013,118568,119967,121373,122744,124053,125338,126508,127734,128940,130070,131179,132154,133111,134094,135098,136023,136906,137781,138632,139471,140285,141058,141840,142599,143342,144093,144818,145540,146199,146800,147381,148004,148581,149119,149644,150152,150709,151201,151697,152168,152601,153048,153478,153886,154301,154670,155053,155441,155785,156130,156501,156836,157173,157483,157787,158084,158386,158658,158942,159257,159525,159770,160029,160289,160528,160725,160968,161230,161458,
59540,0,0,1,2,33,147,339,690,1263,2055,2971,4123,5489,7013,8606,10366,12272,14240,16251,18366,20452,22630,24773,26851,29007,31107,33154,35251,37261,39208,41192,43206,45127,46983,48815,50522,52232,53859,55462,57043,58594,60125,61547,63017,64396,65750,67098,68420,69699,70869,72064,73187,74384,75483,76615,77609,78622,79625,80535,81406,82308,83146,83944,84775,85538,86315,87061,87775,88471,89158,89842,90488,91159,91767,92345,92935,93546,94041,94580,95079,95580,96089,96533,97033,97518,97967,98428,98847,99278,99675,100073,100456,100791,101155,101481,101812,102105,102395,102720,103013,103292,103565,103832,104112,104419,104667,104905,105142,105367,105587,105863,106104,106346,106548,106746,106947,107108,107299,107506,
59554,4112,41093,122053,227567,339585,447355,546117,634318,712071,780866,840428,893098,939826,980894,1017178,1049460,1078252,1104148,1126987,1147813,1166888,1183819,1199407,1213571,1226515,1238196,1249129,1259236,1268477,1276965,1284830,1292219,1299191,1305550,1311375,1316895,1321902,1326780,1331247,1335412,1339339,1342983,1346469,1349664,1352656,1355510,1358233,1360845,1363377,1365696,1367948,1370024,1372044,1373871,1375665,1377381,1379027,1380525,1382020,1383301,1384654,1385953,1387175,1388328,1389381,1390438,1391412,1392383,1393360,1394248,1395065,1395896,1396677,1397410,1398114,1398772,1399431,1400053,1400667,1401235,1401794,1402298,1402802,1403285,1403736,1404179,1404619,1404989,1405396,1405783,1406132,1406499,1406796,1407144,1407459,1407775,1408053,1408330,1408601,1408847,1409123,1409374,1409649,1409908,1410138,1410357,1410580,1410763,1410953,1411141,1411337,1411509,1411659,1411813,1411971,1412123,1412268,1412406,1412537,
59560,354,8016,34963,81912,142572,208903,276240,340829,401954,457933,509106,555705,597943,635633,669962,701287,729511,755275,778704,800206,819580,837335,853578,868679,882355,895143,906883,917736,927876,937405,946023,954042,961749,968912,975460,981661,987608,993084,998354,1003183,1007706,1011917,1015980,1019709,1023214,1026539,1029827,1032826,1035728,1038462,1040951,1043343,1045626,1047821,1049930,1051996,1053947,1055713,1057398,1059080,1060597,1062161,1063634,1064981,1066279,1067522,1068701,1069804,1070850,1071916,1072982,1073911,1074817,1075700,1076555,1077324,1078098,1078867,1079556,1080262,1080970,1081587,1082237,1082855,1083427,1083961,1084493,1085008,1085517,1085952,1086381,1086829,1087229,1087636,1088042,1088418,1088793,1089156,1089462,1089796,1090100,1090398,1090734,1091017,1091279,1091538,1091805,1092043,1092273,1092510,1092738,1092942,1093154,1093323,1093515,1093707,1093882,1094077,1094249,
59570,67,2888,15821,42875,81898,128157,178133,228166,277297,324089,367728,408247,445575,479821,511288,540149,566323,590507,612887,633367,652053,669365,685469,700253,714088,726728,738348,749373,759567,769071,777941,786220,793947,801156,807935,814183,820054,825668,830852,835810,840466,844764,848961,852830,856614,860103,863565,866761,869765,872593,875313,877853,880264,882598,884811,886899,888916,890776,892526,894258,895906,897494,899049,900517,901931,903254,904519,905730,906924,908072,909123,910161,911156,912115,913048,913868,914705,915511,916286,917001,917690,918350,918970,919559,920188,920740,921278,921884,922434,922940,923437,923896,924322,924768,925169,925595,925941,926353,926695,927088,927420,927774,928058,928362,928626,928919,929178,929423,929676,929923,930163,930408,930624,930831,931003,931184,931356,931525,931718,
59580,20,781,6148,19396,41655,71067,105020,140979,177931,214203,249285,282682,314060,343596,371078,396574,420463,442387,462560,481259,498637,515211,530298,544147,557319,569527,580801,591374,601144,610207,618796,626872,634678,641886,648517,654713,660656,666254,671460,676394,681113,685605,689774,693716,697456,700955,704239,707474,710584,713479,716190,718775,721269,723570,725798,727996,730044,732016,733908,735608,737376,738953,740496,742014,743465,744851,746132,747403,748607,749734,750891,751989,753025,753987,754919,755769,756620,757491,758354,759061,759788,760534,761178,761813,762465,763029,763580,764144,764683,765186,765659,766116,766552,767034,767458,767901,768326,768674,769037,769367,769713,770080,770403,770705,771020,771315,771592,771870,772131,772367,772597,772849,773071,773298,773489,773689,773884,774062,774252,
59590,4,181,1848,7355,18138,34325,54733,77975,103339,129298,155329,180814,205367,229012,251394,272744,292801,311379,328923,345215,360584,375183,388882,401512,413299,424432,434807,444447,453491,462194,470315,478021,485304,492032,498481,504393,510040,515458,520581,525253,529811,534092,538262,542131,545703,549208,552496,555677,558510,561395,564199,566742,569257,571600,573820,575851,577849,579838,581676,583492,585153,586795,588367,589861,591224,592552,593893,595195,596404,597589,598713,599802,600815,601755,602741,603648,604543,605390,606156,606912,607659,608413,609113,609777,610400,611030,611629,612200,612796,613290,613840,614333,614764,615245,615664,616050,616440,616829,617234,617605,617968,618335,618631,618948,619260,619549,619835,620097,620377,620615,620894,621132,621379,621614,621832,622048,622242,622470,622668,
59600,0,84,955,4177,11165,22325,37197,55051,74918,95700,117194,138581,159609,179593,199240,217968,236040,252974,268679,283717,297832,311071,323619,335464,346368,356667,366385,375700,384553,392771,400346,407672,414637,421110,427379,433324,438780,443957,448948,453599,458037,462115,466086,469919,473534,476979,480161,483269,486197,489030,491692,494128,496663,498940,501186,503386,505341,507289,509140,510897,512647,514299,515787,517191,518683,519973,521281,522557,523766,524918,526014,527043,528039,529032,529983,530819,531675,532518,533274,534013,534747,535421,536101,536772,537372,538024,538646,539235,539765,540274,540790,541278,541758,542217,542648,543081,543454,543876,544249,544635,544952,545309,545632,545951,546267,546594,546890,547187,547447,547689,547925,548176,548420,548649,548865,549072,549268,549462,549675,
59610,0,21,407,2117,6349,13736,24131,37159,52195,68401,85343,102610,119991,136935,153647,169972,185661,200516,214758,228368,241247,253246,264621,275421,285321,294954,303870,312419,320496,328374,335611,342357,348779,354835,360677,366300,371529,376411,381123,385484,389704,393708,397500,401062,404487,407938,411057,414036,416844,419606,422113,424547,426893,429133,431347,433409,435319,437220,439031,440710,442357,443924,445433,446749,448121,449362,450652,451852,453058,454195,455276,456332,457322,458266,459180,460097,460960,461779,462546,463289,464055,464769,465515,466159,466774,467377,467992,468575,469094,469627,470125,470618,471075,471511,471953,472344,472716,473109,473478,473835,474166,474509,474832,475154,475492,475794,476096,476356,476602,476836,477091,477387,477607,477846,478058,478278,478485,478686,478896,
59620,0,8,155,1013,3303,7767,14427,23386,34245,46226,59279,72787,86502,100283,113793,127131,140205,152721,164768,176553,187764,198322,208466,217996,227116,235851,244104,251873,259181,266183,272685,278970,284963,290691,296019,301215,306115,310730,315084,319209,323223,326942,330536,333991,337218,340311,343320,346131,348814,351440,353829,356122,358368,360533,362587,364517,366381,368201,369990,371638,373195,374657,376213,377568,378951,380304,381587,382803,383960,385075,386127,387142,388082,389052,389962,390864,391714,392503,393303,394006,394735,395450,396117,396752,397332,397997,398547,399093,399627,400130,400664,401141,401606,402067,402505,402947,403326,403723,404074,404445,404760,405062,405414,405757,406062,406349,406614,406873,407135,407375,407601,407831,408043,408272,408470,408676,408872,409077,409259,
59630,0,3,61,438,1520,3975,7970,13739,20745,29108,38560,48669,59081,70150,81118,91974,102672,113018,123196,133041,142433,151588,160373,168648,176697,184335,191525,198398,205071,211261,217191,222820,228217,233288,238311,243053,247483,251657,255718,259497,263125,266582,269849,273070,276038,278886,281638,284269,286691,289118,291463,293705,295778,297734,299652,301528,303303,304997,306709,308300,309759,311168,312506,313770,315123,316361,317551,318716,319812,320884,321916,322872,323791,324686,325549,326351,327113,327884,328657,329365,329998,330642,331258,331857,332482,333054,333566,334045,334556,335100,335543,336023,336490,336932,337358,337750,338146,338519,338857,339211,339578,339898,340210,340516,340775,341060,341342,341627,341907,342172,342397,342628,342847,343075,343277,343481,343710,343892,344067,
59640,0,3,32,197,879,2515,5348,9437,14778,21253,28839,36954,45532,54468,63525,72616,81743,90788,99562,108082,116434,124445,132231,139838,147088,154000,160801,167113,173035,178804,184229,189481,194430,199274,203905,208125,212280,216221,219952,223588,227131,230334,233471,236385,239187,241925,244532,247063,249397,251660,253803,255892,257925,259836,261755,263507,265216,266785,268336,269904,271261,272680,274058,275333,276578,277811,278984,280100,281141,282149,283124,284047,284943,285807,286666,287457,288283,289035,289706,290405,291093,291776,292399,293005,293587,294164,294675,295184,295696,296199,296665,297097,297513,297913,298331,298734,299065,299447,299798,300149,300454,300748,301046,301364,301651,301962,302272,302527,302799,303012,303232,303472,303657,303846,304039,304243,304425,304618,304779,
59650,0,0,16,114,540,1477,3309,6167,9933,14777,20452,26958,33751,40867,48300,55766,63314,71095,78597,85944,93232,100474,107381,114026,120402,126556,132516,138106,143513,148675,153833,158607,163250,167659,171807,175714,179698,183343,186999,190340,193511,196564,199484,202391,205034,207600,210078,212425,214711,216877,218914,220945,222829,224664,226378,228022,229708,231349,232825,234228,235653,237045,238331,239570,240715,241827,242912,243961,244946,245915,246876,247749,248650,249472,250271,251070,251750,252463,253167,253850,254517,255115,255707,256288,256868,257431,257955,258436,258922,259416,259887,260308,260716,261110,261486,261891,262236,262583,262938,263267,263575,263858,264164,264459,264716,264975,265224,265487,265729,265990,266173,266400,266601,266822,267027,267218,267394,267559,267729,
59660,0,0,5,46,251,811,1967,3796,6404,9822,13973,18665,23921,29496,35351,41539,47796,54099,60304,66569,72784,78698,84605,90327,95856,101266,106521,111474,116231,120785,125251,129575,133646,137581,141387,144982,148599,152043,155224,158402,161415,164312,166916,169433,171894,174287,176586,178756,180870,182907,184869,186705,188510,190269,191976,193539,195039,196499,197920,199241,200528,201724,202993,204160,205295,206291,207315,208358,209301,210241,211136,211988,212855,213684,214445,215170,215900,216595,217238,217855,218512,219064,219653,220199,220706,221224,221759,222240,222671,223100,223524,223955,224329,224714,225144,225503,225872,226207,226524,226851,227140,227414,227711,227984,228271,228546,228780,229026,229282,229496,229735,229941,230121,230354,230554,230740,230924,231107,231290,
59670,0,0,0,16,96,367,1017,2009,3637,5840,8696,11934,15613,19930,24361,29021,33921,38877,43952,48987,54002,58928,63995,68732,73385,78016,82388,86683,90894,94839,98711,102528,106055,109554,112976,116295,119295,122292,125292,128026,130672,133134,135623,137969,140198,142388,144446,146413,148304,150187,152039,153691,155316,156842,158363,159779,161143,162450,163767,164981,166210,167283,168388,169463,170477,171477,172450,173370,174275,175096,175919,176752,177513,178282,178984,179602,180291,180926,181555,182167,182746,183313,183867,184367,184844,185339,185804,186241,186670,187107,187537,187918,188297,188656,189010,189337,189708,190037,190399,190715,191002,191283,191540,191771,192021,192277,192546,192772,193021,193232,193460,193641,193839,194027,194212,194390,194575,194739,194904,
59680,0,0,0,7,43,163,432,1010,1925,3237,4947,7156,9720,12590,15691,19077,22705,26377,30213,34064,37949,41821,45738,49573,53396,57217,60917,64295,67742,71152,74496,77595,80668,83709,86590,89457,92174,94682,97245,99668,101984,104282,106485,108568,110549,112468,114349,116187,117897,119553,121141,122608,124107,125536,126936,128259,129536,130725,131929,133017,134094,135100,136104,137103,138046,138890,139762,140526,141326,142120,142876,143622,144379,145041,145696,146267,146913,147540,148131,148693,149231,149745,150268,150779,151229,151705,152156,152592,152999,153410,153780,154180,154550,154879,155220,155513,155818,156124,156395,156670,156955,157229,157496,157713,157954,158172,158374,158572,158781,158991,159170,159360,159528,159706,159885,160071,160260,160420,160567,
59690,0,0,0,2,19,66,209,506,1070,1827,2876,4248,5903,7851,10025,12397,14995,17848,20590,23549,26489,29496,32478,35456,38427,41426,44386,47196,50009,52796,55516,58091,60625,63165,65555,67891,70221,72369,74542,76592,78686,80658,82497,84341,86046,87769,89339,90873,92364,93831,95270,96698,98005,99190,100325,101491,102609,103695,104711,105771,106730,107651,108542,109375,110210,110982,111783,112544,113285,113984,114640,115296,115950,116571,117190,117760,118344,118876,119381,119903,120404,120888,121344,121818,122292,122684,123066,123448,123852,124225,124584,124921,125244,125545,125835,126128,126404,126675,126955,127209,127451,127698,127929,128168,128394,128599,128810,128991,129196,129373,129570,129765,129957,130131,130310,130469,130631,130782,130930,
59700,0,0,0,1,7,25,66,209,443,844,1471,2219,3216,4430,5818,7401,9140,10973,12868,14927,17056,19341,21483,23798,26061,28243,30508,32723,34911,37087,39169,41148,43202,45184,47088,49042,50913,52702,54461,56162,57749,59341,60927,62443,63910,65272,66611,67981,69273,70493,71667,72837,73970,75077,76109,77133,78106,79058,79963,80903,81701,82515,83268,84067,84798,85575,86254,86910,87527,88163,88818,89382,89910,90430,90983,91517,92004,92483,92971,93434,93828,94298,94666,95065,95440,95803,96177,96585,96936,97245,97583,97888,98208,98468,98746,99039,99274,99544,99789,100036,100262,100475,100702,100874,101083,101278,101452,101632,101813,102004,102167,102332,102485,102630,102761,102903,103047,103173,103294,
59710,0,0,0,0,2,8,24,61,151,295,532,875,1326,1954,2668,3551,4516,5630,6813,8131,9425,10804,12232,13754,15338,16884,18448,20057,21557,23245,24829,26340,27857,29261,30777,32253,33701,35072,36449,37776,39054,40288,41517,42684,43830,44916,46028,47118,48148,49133,50074,50967,51867,52720,53584,54383,55150,55906,56661,57379,58112,58806,59475,60102,60716,61313,61944,62527,63095,63591,64096,64594,65128,65601,66060,66504,66918,67355,67816,68187,68529,68851,69205,69541,69891,70206,70502,70843,71164,71468,71751,72034,72304,72550,72800,73034,73254,73477,73682,73901,74082,74278,74464,74636,74793,74950,75117,75271,75426,75545,75684,75825,75939,76079,76215,76346,76459,76598,76734,
59720,0,0,0,0,0,1,3,12,29,58,115,207,379,626,939,1296,1700,2176,2713,3306,3916,4626,5370,6193,6980,7835,8703,9590,10463,11319,12199,13138,14032,14978,15866,16803,17677,18568,19469,20354,21234,22090,22961,23803,24638,25436,26186,26958,27704,28370,29047,29760,30398,31037,31665,32305,32873,33455,33997,34519,35011,35521,36019,36477,36938,37411,37856,38291,38693,39146,39544,39913,40272,40622,40972,41279,41594,41928,42213,42510,42805,43122,43406,43689,43933,44160,44411,44652,44897,45125,45358,45557,45777,45986,46204,46396,46592,46767,46932,47111,47275,47435,47582,47732,47882,48024,48159,48299,48435,48552,48655,48768,48868,48976,49075,49181,49274,49378,49482,
5973359,30758,128973,256706,383715,496850,595276,679922,752408,814183,866991,913351,953249,988655,1019290,1046796,1071090,1092952,1112411,1130033,1145913,1160651,1173914,1185935,1196732,1207062,1216379,1224986,1232910,1240315,1246978,1253235,1259051,1264559,1269766,1274451,1278926,1283082,1286974,1290703,1294155,1297353,1300511,1303474,1306207,1308776,1311246,1313559,1315794,1317931,1319949,1321804,1323580,1325244,1326815,1328312,1329744,1331142,1332462,1333686,1334880,1336003,1337073,1338140,1339124,1340118,1341064,1341874,1342681,1343471,1344205,1344908,1345564,1346235,1346880,1347515,1348121,1348726,1349238,1349765,1350289,1350776,1351228,1351663,1352061,1352481,1352871,1353264,1353626,1353980,1354318,1354587,1354906,1355218,1355493,1355800,1356043,1356304,1356542,1356784,1357019,1357250,1357460,1357659,1357864,1358038,1358228,1358402,1358562,1358715,1358889,1359055,1359216,1359361,1359498,1359648,1359783,1359906,1360027,1360154,
597421,6562,44088,111194,191339,272445,349179,418764,480895,536045,585273,629005,667602,702042,732876,760655,785541,808039,828584,847015,863824,879061,893064,906068,918000,928867,939035,948250,956745,964697,972249,979366,985848,991982,997754,1003108,1008052,1012749,1017135,1021301,1025318,1028960,1032350,1035640,1038648,1041576,1044421,1047023,1049535,1051862,1054097,1056341,1058351,1060276,1062161,1063879,1065568,1067211,1068762,1070254,1071650,1072917,1074157,1075390,1076467,1077570,1078641,1079619,1080589,1081502,1082415,1083281,1084099,1084909,1085637,1086349,1087006,1087679,1088298,1088896,1089476,1090056,1090610,1091156,1091642,1092127,1092603,1093049,1093469,1093873,1094272,1094670,1095040,1095387,1095716,1096039,1096362,1096692,1096982,1097273,1097554,1097809,1098079,1098333,1098575,1098796,1098994,1099213,1099434,1099635,1099840,1100014,1100190,1100360,1100505,1100669,1100837,1100993,1101137,1101284,
59752,2394,21626,63636,120442,182824,244308,303453,357965,407298,451693,491844,528088,560639,590204,616935,641304,663253,683182,701332,718015,733408,747466,760344,772516,783623,793770,803445,812327,820460,828133,835348,841993,848268,854156,859707,864875,869668,874187,878506,882476,886299,889873,893185,896457,899642,902452,905210,907846,910381,912713,914914,917033,919063,921020,922865,924675,926307,927854,929366,930808,932134,933462,934717,935946,937121,938196,939262,940282,941244,942199,943103,943955,944801,945601,946411,947101,947825,948535,949197,949805,950410,950957,951500,952064,952593,953058,953550,953990,954416,954848,955253,955646,956019,956378,956726,957070,957396,957724,958045,958327,958592,958866,959125,959375,959643,959884,960134,960354,960555,960779,960977,961182,961399,961573,961744,961885,962044,962207,962336,
59760,634,8871,31979,68055,111543,158105,204279,248169,290094,328624,364122,396493,426032,453127,477881,500750,521517,540546,557906,574101,588982,602697,615460,627174,638249,648418,657876,666620,674777,682455,689650,696394,702673,708493,714000,719174,724097,728824,733108,737216,741025,744787,748375,751755,754884,757760,760640,763323,765885,768305,770620,772865,774983,776973,778944,780730,782395,784042,785622,787105,788591,789966,791344,792633,793870,794997,796091,797141,798140,799121,800069,800969,801755,802562,803363,804127,804830,805534,806188,806800,807452,808054,808651,809202,809742,810249,810717,811182,811627,812082,812497,812920,813327,813712,814102,814490,814845,815188,815517,815835,816113,816420,816705,816940,817221,817459,817687,817918,818138,818363,818578,818785,818987,819175,819384,819563,819735,819930,820093,
59770,132,2883,13441,33100,60124,90991,124018,157595,190041,221013,250247,277603,303080,326608,348718,369125,388042,405431,421530,436390,450248,463107,475084,486245,496518,506088,515215,523637,531662,539201,546204,552747,558956,564696,570186,575315,580144,584812,589159,593337,597196,600874,604243,607599,610742,613694,616463,619155,621743,624201,626546,628769,630864,632850,634754,636566,638349,640083,641699,643204,644598,646032,647382,648653,649863,651060,652193,653303,654313,655294,656268,657179,658109,658966,659740,660577,661347,662068,662771,663511,664181,664790,665423,665938,666514,667020,667534,667974,668431,668875,669249,669676,670094,670491,670869,671225,671574,671933,672267,672575,672868,673181,673473,673736,673982,674227,674462,674734,674964,675203,675419,675620,675851,676064,676285,676471,676660,676819,676962,
59780,49,1494,7958,21509,41276,65416,92104,119737,147341,174239,200124,224604,247599,268988,289116,307687,325169,341417,356425,370553,383600,395843,407109,417768,427733,437068,445714,453880,461638,468827,475609,482026,487897,493490,498786,503817,508656,513241,517585,521598,525407,529116,532600,535904,539024,542020,544857,547542,549976,552313,554694,556980,559084,561136,562994,564808,566527,568171,569810,571272,572717,574147,575501,576821,577983,579196,580273,581309,582371,583372,584336,585262,586091,586893,587685,588481,589251,589994,590680,591349,591964,592612,593231,593790,594361,594923,595419,595932,596419,596866,597301,597766,598174,598561,598953,599315,599740,600082,600375,600714,601029,601335,601650,601911,602153,602413,602671,602890,603113,603355,603595,603777,603969,604167,604359,604541,604714,604888,605064,
59790,23,698,4293,12819,26601,44282,65035,87248,109767,132265,154074,175354,195634,214617,232419,249355,265225,280013,293937,306969,319257,330807,341483,351443,360965,369814,378104,385949,393477,400305,406775,412973,418809,424314,429541,434423,439034,443423,447594,451420,455104,458777,462142,465257,468316,471159,473867,476472,478979,481383,483554,485643,487655,489547,491411,493213,494930,496523,498090,499620,500988,502411,503710,504901,506139,507282,508340,509391,510386,511381,512365,513255,514136,514978,515809,516603,517377,518071,518747,519368,520033,520655,521234,521764,522298,522878,523410,523925,524425,524882,525336,525751,526159,526543,526930,527268,527653,527988,528329,528647,528987,529263,529555,529862,530130,530398,530688,530915,531133,531377,531567,531778,532036,532215,532382,532562,532737,532906,533066,
59800,1,300,2083,7032,15863,28282,43312,60038,77680,95870,113769,131372,148416,164657,180247,194880,208914,221959,234447,246261,257452,268004,277718,287198,295927,304298,311896,319292,326220,332800,338828,344715,350169,355276,360103,364811,369188,373409,377373,381099,384704,388064,391314,394444,397354,400142,402821,405353,407716,409989,412161,414298,416329,418365,420288,422066,423713,425308,426830,428261,429636,431000,432300,433586,434829,435989,437091,438138,439113,440085,441075,441955,442842,443650,444450,445206,445945,446701,447357,448021,448689,449337,449918,450510,451046,451590,452057,452556,453032,453448,453866,454278,454709,455095,455484,455864,456222,456578,456977,457313,457605,457906,458207,458496,458771,459043,459297,459557,459778,459999,460222,460445,460649,460842,461028,461193,461357,461531,461689,
59810,1,79,877,3508,8683,16362,26608,38520,51549,65262,79720,93681,107654,121150,134278,146881,159046,170534,181286,191556,201319,210581,219373,227740,235677,243145,250311,257041,263377,269476,275245,280535,285542,290550,295081,299460,303622,307559,311289,314773,318199,321375,324372,327304,330155,332784,335361,337737,340051,342155,344245,346267,348240,350045,351807,353527,355161,356706,358236,359675,360993,362273,363510,364714,365913,367044,368078,369156,370098,371075,371992,372898,373730,374543,375326,376102,376822,377526,378161,378786,379390,379974,380566,381105,381638,382156,382661,383166,383643,384113,384550,385002,385420,385781,386135,386503,386841,387200,387526,387830,388143,388436,388723,389009,389296,389552,389803,390046,390261,390486,390715,390917,391140,391325,391529,391720,391900,392076,392235,
59820,1,50,499,2205,5629,11186,19026,28387,38861,50062,61662,73585,85535,97241,108723,119924,130756,140972,150841,160144,169130,177488,185507,193099,200502,207492,214212,220437,226383,232115,237594,242641,247431,251995,256283,260415,264285,268080,271623,275108,278325,281396,284310,287129,289815,292382,294805,297117,299426,301538,303482,305359,307246,309049,310744,312464,314016,315527,316971,318370,319729,320976,322183,323340,324426,325508,326579,327634,328570,329469,330420,331272,332065,332838,333574,334320,335057,335772,336455,337051,337648,338246,338835,339400,339919,340452,340942,341394,341888,342334,342787,343196,343612,344021,344402,344778,345148,345449,345766,346070,346361,346646,346945,347213,347489,347759,348026,348281,348488,348705,348915,349125,349315,349507,349709,349885,350078,350230,350395,
59830,0,14,241,1218,3483,7282,12825,19780,27811,36730,46204,56111,66073,76092,85973,95676,104935,114014,122764,131114,139158,146928,154232,161226,167938,174320,180260,186027,191502,196918,201936,206556,211095,215249,219256,223273,226798,230161,233441,236596,239696,242567,245338,247995,250499,252936,255242,257447,259586,261644,263674,265545,267304,269040,270633,272214,273759,275159,276563,277898,279151,280355,281524,282641,283692,284692,285709,286694,287620,288532,289461,290272,291087,291887,292620,293295,293930,294592,295214,295844,296413,297014,297536,298072,298610,299100,299576,300027,300480,300927,301336,301730,302140,302503,302823,303205,303570,303897,304211,304485,304796,305078,305319,305574,305840,306102,306357,306568,306806,307013,307224,307414,307625,307806,308004,308174,308357,308517,308682,
59840,0,6,104,621,2047,4531,8285,13266,19164,25950,33278,41196,49248,57466,65720,73767,81774,89502,96837,104155,111120,117946,124440,130515,136450,142502,148051,153241,158316,163080,167655,171890,175914,179875,183719,187344,190737,193946,197001,199990,202880,205650,208260,210878,213299,215586,217842,219946,221829,223779,225552,227354,229042,230632,232191,233670,235108,236493,237794,239035,240247,241425,242520,243625,244689,245685,246635,247535,248387,249228,250016,250868,251613,252363,253035,253683,254340,254993,255604,256212,256779,257300,257828,258340,258795,259243,259711,260129,260563,260965,261351,261724,262084,262430,262786,263141,263495,263840,264158,264445,264722,265002,265268,265506,265704,265941,266187,266419,266630,266845,267044,267231,267432,267604,267787,267959,268131,268285,268457,
59850,0,0,35,241,960,2396,4730,8056,12237,16965,22444,28368,34465,40827,47378,53908,60299,66711,72898,78889,84819,90601,96106,101558,106593,111637,116531,121148,125539,129792,133864,137754,141536,145040,148406,151723,154828,157894,160733,163368,166020,168548,170989,173303,175518,177714,179706,181640,183515,185266,186957,188575,190137,191660,193137,194521,195900,197165,198409,199584,200721,201782,202811,203764,204805,205761,206697,207526,208378,209209,209994,210781,211505,212213,212905,213581,214188,214770,215333,215853,216410,216925,217427,217947,218371,218787,219220,219651,220059,220460,220877,221236,221623,221999,222338,222660,222968,223270,223595,223861,224118,224377,224623,224900,225143,225389,225596,225816,226016,226232,226451,226630,226800,226964,227150,227302,227444,227618,227774,
59860,0,0,14,113,429,1177,2451,4358,6942,10201,14012,18132,22558,27221,32185,37171,42190,47310,52343,57372,62156,67015,71696,76271,80703,85017,89061,92920,96604,100202,103695,107062,110375,113514,116515,119402,122162,124839,127482,129946,132233,134525,136659,138685,140656,142553,144379,146123,147758,149424,150989,152541,153952,155289,156718,157997,159213,160415,161527,162621,163763,164775,165714,166689,167567,168422,169239,169992,170749,171480,172184,172891,173589,174224,174856,175450,176060,176621,177200,177700,178173,178683,179184,179653,180095,180498,180880,181249,181664,182044,182374,182747,183103,183445,183780,184076,184366,184623,184914,185170,185445,185691,185906,186125,186374,186595,186801,187020,187213,187428,187603,187780,187968,188150,188297,188447,188603,188758,188899,
59870,0,0,6,28,156,506,1185,2308,3864,5916,8469,11258,14434,17851,21483,25221,28952,32897,36931,40838,44756,48503,52309,55945,59621,63202,66647,70091,73272,76333,79284,82099,84839,87526,90151,92633,95055,97288,99511,101647,103729,105733,107731,109548,111314,113082,114725,116336,117806,119307,120675,122008,123325,124637,125790,126941,128065,129175,130274,131281,132220,133131,134029,134889,135679,136502,137250,137972,138693,139390,140072,140704,141329,141893,142509,143087,143614,144162,144708,145159,145659,146124,146585,146973,147383,147781,148166,148545,148925,149282,149641,149961,150293,150584,150860,151138,151413,151695,151977,152214,152459,152679,152880,153093,153305,153508,153701,153884,154074,154264,154450,154630,154795,154950,155135,155279,155425,155560,155707,
59880,0,0,1,12,42,175,469,1032,1903,3064,4527,6331,8351,10644,13054,15708,18389,21050,23860,26723,29594,32573,35470,38256,41027,43819,46508,49212,51785,54357,56818,59195,61481,63683,65764,67910,69962,71973,73824,75736,77479,79178,80838,82385,83936,85494,86911,88245,89511,90789,92040,93254,94383,95448,96543,97593,98613,99579,100470,101289,102128,102979,103800,104602,105343,106028,106724,107432,108048,108645,109237,109799,110351,110883,111419,111959,112460,112912,113406,113823,114269,114682,115084,115470,115825,116167,116534,116879,117207,117542,117899,118185,118465,118776,119063,119344,119588,119828,120097,120322,120521,120723,120939,121129,121322,121517,121695,121877,122077,122231,122389,122543,122709,122857,122995,123129,123265,123400,123527,
59890,0,0,0,3,15,52,160,381,720,1228,1978,2873,3942,5245,6744,8293,9882,11653,13509,15363,17297,19277,21162,23191,25254,27263,29203,31140,33077,34911,36785,38594,40397,42090,43813,45430,47082,48644,50112,51616,52988,54286,55609,56877,58140,59375,60539,61658,62725,63760,64751,65776,66696,67607,68507,69345,70144,70971,71731,72450,73188,73871,74577,75216,75915,76494,77086,77641,78256,78772,79266,79748,80210,80696,81177,81628,82041,82441,82831,83236,83612,83982,84293,84630,84949,85259,85578,85893,86156,86395,86633,86923,87207,87448,87691,87892,88131,88356,88556,88776,88966,89131,89324,89486,89668,89823,89989,90148,90291,90461,90599,90735,90882,91011,91121,91225,91348,91462,91563,
59900,0,0,0,0,1,4,23,76,165,316,520,854,1248,1759,2375,3097,3986,4917,5869,6861,7876,8952,10127,11225,12399,13532,14746,15900,17084,18236,19376,20555,21755,22868,24076,25131,26242,27307,28354,29329,30319,31341,32232,33128,34045,34881,35726,36554,37332,38144,38890,39610,40271,40948,41585,42220,42859,43470,44091,44634,45178,45718,46211,46705,47236,47696,48186,48643,49084,49510,49905,50292,50711,51041,51382,51749,52086,52424,52755,53075,53395,53714,53965,54224,54497,54733,54990,55229,55467,55695,55920,56157,56374,56552,56743,56957,57161,57336,57501,57651,57815,57968,58118,58260,58398,58536,58677,58831,58967,59087,59205,59326,59417,59533,59629,59721,59846,59958,60062,
59912457,70330,207358,350990,477635,584643,673612,748317,810788,864087,909457,948659,982939,1012710,1039328,1062680,1083426,1101991,1118610,1133831,1147424,1159811,1171170,1181662,1191061,1199685,1207681,1215113,1222043,1228541,1234460,1240018,1245242,1250043,1254450,1258680,1262692,1266449,1269981,1273273,1276346,1279236,1282026,1284612,1287018,1289278,1291448,1293464,1295403,1297249,1298975,1300636,1302182,1303683,1305122,1306581,1307913,1309163,1310342,1311501,1312620,1313606,1314582,1315508,1316442,1317275,1318086,1318839,1319606,1320320,1321021,1321686,1322295,1322922,1323536,1324096,1324642,1325191,1325688,1326143,1326593,1327032,1327452,1327862,1328261,1328647,1328998,1329330,1329683,1330010,1330344,1330627,1330891,1331161,1331430,1331702,1331963,1332212,1332422,1332635,1332848,1333057,1333277,1333479,1333656,1333838,1334006,1334178,1334337,1334476,1334635,1334786,1334917,1335048,1335174,1335301,1335414,1335535,1335651,1335783,
5992260,21482,90336,182021,275196,361328,437732,504043,562126,612669,656744,695766,730063,760345,787221,811567,833250,852941,870491,886466,901080,914200,926354,937485,947695,957163,965873,973945,981401,988706,995290,1001364,1007048,1012371,1017326,1022025,1026361,1030409,1034246,1037935,1041379,1044539,1047562,1050482,1053209,1055838,1058383,1060772,1062969,1065100,1067040,1068964,1070780,1072596,1074269,1075762,1077257,1078653,1080021,1081312,1082515,1083680,1084788,1085812,1086787,1087788,1088702,1089601,1090485,1091356,1092157,1092935,1093639,1094364,1095015,1095646,1096240,1096804,1097355,1097899,1098490,1098985,1099439,1099901,1100340,1100753,1101161,1101577,1101958,1102324,1102661,1103011,1103323,1103640,1103936,1104262,1104564,1104859,1105135,1105397,1105625,1105853,1106099,1106336,1106576,1106783,1106994,1107178,1107367,1107515,1107693,1107883,1108055,1108206,1108383,1108551,1108687,1108831,1108958,1109106,
599357,9694,51751,117197,190551,262110,328080,387463,440494,487638,529210,566286,599344,628698,655210,678874,700331,719843,737499,753705,768318,781767,794140,805497,816019,825720,834607,842978,850617,857745,864536,870884,876720,882155,887339,892240,896835,901074,905085,908934,912589,915988,919245,922306,925276,927998,930675,933091,935494,937608,939691,941688,943540,945331,947055,948672,950180,951704,953141,954558,955874,957098,958242,959444,960531,961517,962540,963449,964333,965175,966021,966837,967574,968306,969009,969679,970360,970988,971615,972208,972772,973354,973888,974398,974838,975297,975766,976183,976595,977041,977411,977787,978149,978491,978819,979135,979416,979711,980012,980286,980540,980819,981080,981375,981592,981803,982005,982199,982418,982609,982810,982990,983169,983351,983521,983682,983840,984000,984160,984299,
599414,3594,25459,66930,119181,174653,228272,278507,324401,366737,404708,438844,469422,497193,522450,545222,566051,584703,601938,617817,632374,645765,657915,669292,679878,689647,698705,707062,714875,722038,729026,735483,741573,747149,752429,757232,761928,766363,770475,774380,778164,781669,784974,788038,791045,793848,796503,799061,801526,803771,805944,808044,809960,811790,813630,815357,817073,818628,820094,821508,822909,824219,825483,826668,827770,828862,829866,830864,831801,832742,833545,834409,835196,835973,836699,837412,838102,838745,839377,839967,840522,841067,841655,842200,842679,843150,843634,844084,844516,844912,845322,845716,846101,846462,846830,847172,847481,847818,848103,848389,848687,848953,849223,849460,849682,849910,850137,850361,850557,850756,850959,851145,851334,851518,851677,851843,852001,852148,852290,852425,
59950,979,10294,33060,66380,104626,144571,183659,221108,256021,288650,318456,345452,370608,393628,414756,434224,451920,467971,482833,496607,509400,521217,532271,542643,552290,561182,569419,577083,584311,590967,597393,603340,608913,614267,619273,623958,628279,632285,636131,639801,643341,646598,649727,652617,655510,658167,660686,663161,665429,667614,669680,671679,673577,675386,677075,678679,680251,681767,683219,684550,685938,687192,688406,689544,690709,691781,692849,693824,694766,695704,696545,697366,698215,698912,699621,700316,701001,701665,702302,702914,703503,704107,704682,705178,705706,706206,706694,707145,707593,707996,708398,708805,709192,709571,709902,710243,710577,710864,711156,711443,711738,711993,712247,712516,712764,713009,713252,713468,713671,713902,714096,714273,714470,714645,714812,714982,715157,715317,715480,
59960,432,5886,21479,46058,76440,109003,142166,174702,205436,234642,261498,286337,309383,331084,350704,369054,385881,401618,416104,429481,441802,453266,463881,473958,483157,491856,499828,507473,514555,521180,527346,533152,538722,543915,548832,553425,557805,561991,565912,569627,573064,576486,579659,582624,585446,588215,590823,593270,595565,597687,599839,601821,603705,605481,607202,608831,610402,611896,613363,614749,616113,617360,618611,619737,620881,621940,623011,623923,624897,625823,626687,627543,628332,629172,629939,630644,631306,631987,632593,633212,633836,634375,634934,635485,635997,636475,636944,637427,637851,638307,638702,639121,639486,639829,640185,640510,640829,641141,641434,641729,641990,642238,642496,642743,643000,643212,643439,643649,643870,644067,644274,644482,644671,644846,645020,645198,645361,645515,645679,
59970,192,3254,13082,30250,52993,79075,106141,133389,160209,185667,209592,231752,252563,271964,290207,307088,322704,337348,350723,363371,375071,386122,396346,405938,414864,423185,431088,438398,445227,451711,457890,463616,468955,473986,478885,483499,487742,491750,495603,499316,502756,506048,509158,512138,514960,517553,520107,522480,524756,526937,529065,531107,533039,534800,536506,538115,539747,541249,542721,544090,545366,546643,547819,548986,550112,551130,552209,553227,554157,555062,555969,556795,557628,558428,559197,559912,560590,561251,561863,562521,563148,563677,564268,564827,565293,565775,566249,566676,567115,567528,567934,568317,568640,569035,569374,569730,570076,570421,570720,571025,571316,571612,571888,572145,572364,572600,572850,573070,573270,573462,573664,573876,574091,574283,574460,574630,574791,574960,575106,
59980,58,1419,7131,18137,34089,53591,74823,96863,118698,139959,160400,180075,198422,215777,232076,247384,261689,274971,287397,299171,310132,320120,329664,338621,347078,355079,362592,369577,376247,382345,388099,393493,398617,403391,408049,412338,416476,420484,424249,427741,431061,434168,437239,440099,442850,445408,447904,450233,452476,454531,456568,458530,460362,462220,463916,465458,466972,468478,469916,471253,472562,473796,474971,476131,477202,478318,479323,480310,481272,482187,483054,483849,484658,485396,486104,486879,487561,488252,488922,489542,490154,490724,491245,491740,492240,492733,493220,493696,494158,494606,495027,495420,495827,496189,496510,496828,497203,497522,497828,498127,498409,498700,498970,499224,499488,499723,499963,500195,500402,500630,500832,501018,501196,501380,501558,501749,501916,502063,502200,
59990,13,569,3411,9874,20140,33594,48707,65474,82587,99735,116729,132912,148445,163278,177306,190583,203113,214995,226059,236601,246474,255784,264432,272739,280371,287625,294471,301063,307251,313072,318724,323833,328863,333606,338040,342285,346185,349888,353377,356762,359949,363024,366009,368803,371419,373939,376326,378541,380751,382866,384840,386699,388555,390268,391924,393462,395017,396449,397805,399081,400351,401524,402667,403771,404872,405897,406918,407911,408820,409733,410562,411300,412094,412881,413637,414342,415042,415678,416295,416884,417488,418096,418672,419259,419793,420289,420787,421231,421678,422084,422474,422881,423289,423676,424061,424409,424736,425053,425362,425616,425892,426188,426453,426694,426940,427173,427418,427634,427829,428038,428221,428434,428647,428830,429016,429194,429379,429546,429705,
60000,6,289,1893,6306,13748,23978,36223,49839,64182,78749,93191,107281,121003,133982,146734,158748,170272,181019,191433,201233,210528,219272,227479,235241,242678,249420,255870,262049,268018,273619,278889,283792,288481,292909,297183,301214,304970,308570,311935,315186,318230,321190,323943,326626,329187,331612,333934,336124,338234,340306,342193,344092,345890,347627,349314,350872,352401,353885,355220,356437,357632,358858,360019,361137,362178,363244,364202,365113,366011,366902,367777,368592,369410,370166,370864,371553,372313,372964,373580,374156,374759,375323,375881,376417,376911,377403,377828,378248,378695,379147,379563,379983,380365,380729,381069,381411,381744,382067,382370,382657,382938,383205,383459,383733,383974,384202,384432,384638,384856,385059,385280,385484,385687,385848,386018,386182,386357,386510,386670,
60010,1,137,1100,3956,9066,16415,25649,36490,47978,60044,72380,84597,96822,108261,119379,129918,140276,150006,159338,168279,176683,184632,192247,199542,206451,212875,219081,224850,230306,235598,240415,244941,249313,253416,257333,261101,264749,268239,271447,274629,277599,280380,283087,285608,288035,290329,292552,294741,296776,298752,300634,302433,304057,305649,307227,308710,310159,311539,312804,314034,315198,316398,317516,318577,319587,320556,321527,322420,323291,324167,325009,325767,326506,327241,327981,328640,329291,329896,330499,331065,331598,332165,332699,333214,333693,334166,334597,335048,335495,335901,336313,336713,337113,337446,337804,338140,338459,338787,339095,339385,339650,339925,340202,340455,340701,340927,341147,341373,341638,341866,342064,342247,342418,342592,342775,342957,343142,343328,343483,
60020,1,54,542,2182,5465,10510,17320,25325,34410,43938,53778,63685,73717,83651,93201,102451,111369,119924,128012,135809,143247,150420,157334,163760,169998,175927,181574,186803,191823,196581,201133,205519,209668,213535,217153,220738,224086,227260,230295,233235,236057,238811,241469,243892,246219,248481,250593,252659,254607,256441,258180,259864,261506,263088,264637,266112,267517,268837,270050,271287,272460,273578,274624,275657,276617,277623,278541,279439,280316,281091,281856,282591,283342,284054,284750,285394,285979,286611,287167,287711,288245,288765,289257,289766,290237,290685,291127,291574,291978,292354,292692,293071,293421,293773,294087,294438,294754,295019,295292,295542,295812,296072,296306,296549,296810,297041,297262,297426,297648,297866,298084,298260,298441,298627,298788,298936,299098,299257,299432,
60030,0,32,237,1075,3003,6288,10776,16456,23043,30225,37890,45790,53806,61710,69635,77350,84833,92219,99344,106298,112845,118959,124879,130597,135938,141290,146372,151041,155532,159856,164028,167959,171662,175244,178695,181926,185096,187998,190704,193430,196028,198519,200907,203227,205443,207585,209628,211505,213263,214988,216666,218253,219735,221304,222763,224150,225424,226663,227869,228996,230145,231180,232196,233162,234109,234959,235862,236680,237519,238380,239090,239828,240470,241137,241726,242312,242947,243515,244074,244557,245079,245567,246045,246567,247083,247514,247936,248339,248769,249142,249498,249854,250173,250490,250828,251147,251440,251717,251988,252254,252460,252710,252960,253202,253431,253679,253891,254107,254320,254512,254702,254868,255051,255227,255403,255566,255722,255886,256021,
60040,0,5,79,413,1366,3103,5670,9317,13714,18782,24103,29830,35797,41779,47907,54095,60239,66088,71832,77613,83142,88411,93582,98486,103118,107748,112110,116203,120160,123997,127657,131152,134620,137798,140891,143797,146637,149257,151903,154301,156607,158826,161008,163074,165082,167004,168850,170578,172303,173866,175387,176851,178279,179613,180922,182209,183439,184636,185756,186761,187806,188750,189686,190603,191480,192341,193170,194012,194767,195430,196174,196858,197502,198166,198761,199368,199933,200504,200990,201464,201957,202460,202891,203342,203818,204251,204635,205010,205391,205730,206094,206396,206746,207045,207353,207661,207958,208225,208490,208732,208976,209208,209442,209666,209910,210130,210343,210520,210695,210908,211101,211295,211460,211633,211791,211947,212115,212258,212384,
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60550,181,2275,8914,20255,35239,52306,70363,88645,106488,123790,140237,155917,170427,183964,196710,208730,220155,230744,240671,249891,258487,266627,274222,281409,288121,294448,300360,306117,311314,316358,321095,325562,329762,333790,337606,341200,344544,347824,350901,353830,356453,359071,361591,363965,366203,368438,370447,372452,374321,376177,377879,379508,381077,382542,383975,385325,386691,388013,389176,390315,391433,392475,393550,394566,395459,396393,397262,398109,398888,399684,400484,401217,401932,402578,403228,403853,404446,405032,405561,406065,406573,407100,407593,408020,408436,408850,409240,409665,410050,410415,410771,411127,411467,411793,412103,412384,412673,412967,413234,413496,413743,413977,414188,414410,414635,414835,415060,415276,415460,415640,415821,415986,416148,416321,416487,416633,416758,416908,417035,
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60716,1405,10173,28711,53326,81040,109129,136544,162490,186670,209076,229711,248876,266590,282694,297620,311317,324392,336175,347223,357507,366935,375771,383967,391712,398881,405601,412012,418123,423788,429031,433935,438511,442879,446954,450885,454588,458102,461375,464523,467469,470224,472771,475346,477813,480124,482351,484441,486399,488279,490060,491751,493408,495045,496534,497935,499218,500545,501846,503008,504135,505244,506324,507332,508346,509274,510175,510994,511827,512591,513361,514109,514840,515511,516193,516853,517523,518064,518626,519133,519624,520156,520626,521056,521509,521949,522374,522804,523194,523591,523928,524279,524623,524919,525247,525537,525828,526105,526401,526686,526954,527207,527488,527732,527951,528168,528391,528584,528760,528951,529146,529331,529498,529646,529799,529931,530080,530237,530390,530538,
60722,753,6686,20162,39563,62312,86307,109787,132564,154479,174945,193920,211628,228149,243149,257203,270254,282382,293782,304251,314115,323272,331886,339775,347069,354066,360664,366712,372551,377945,383186,388029,392534,396856,400913,404730,408393,411855,415117,418185,421036,423770,426425,428895,431380,433671,435816,437921,439947,441798,443607,445323,446948,448455,449924,451370,452714,454028,455270,456412,457493,458561,459573,460587,461594,462493,463380,464225,465043,465839,466660,467388,468112,468807,469484,470098,470698,471308,471886,472403,472938,473475,473954,474424,474838,475260,475681,476095,476500,476915,477250,477606,477995,478348,478685,478973,479214,479502,479782,480059,480323,480589,480845,481048,481260,481479,481710,481899,482088,482275,482443,482625,482792,482955,483132,483313,483473,483623,483765,483874,
60730,355,3891,13122,27600,45661,65363,85408,105366,124426,142580,159899,176061,191014,205005,217992,230191,241599,252187,261896,271245,279799,287983,295627,302949,309596,315796,321653,327260,332505,337325,342100,346452,350615,354648,358340,361870,365199,368400,371352,374182,376875,379428,381879,384190,386413,388560,390569,392476,394275,396025,397709,399313,400878,402292,403642,404992,406304,407558,408740,409851,410916,411914,412889,413885,414776,415691,416520,417378,418159,418918,419656,420375,421079,421746,422352,422928,423493,424046,424597,425104,425640,426145,426622,427041,427456,427878,428275,428671,429022,429398,429747,430091,430431,430762,431064,431353,431664,431969,432244,432510,432760,432991,433225,433429,433619,433870,434076,434260,434440,434623,434784,434956,435139,435322,435472,435609,435735,435866,436007,
60740,136,2043,8048,18084,31497,47068,63310,79806,96232,112107,127187,141627,155097,167661,179493,190633,200981,210792,220096,228823,236964,244626,251806,258519,264986,270876,276411,281688,286654,291425,295789,299998,303980,307858,311502,314883,318087,321146,324066,326815,329416,331940,334277,336588,338788,340833,342799,344639,346343,348092,349731,351228,352735,354245,355693,356975,358242,359461,360587,361687,362673,363679,364654,365559,366517,367405,368250,369093,369865,370637,371326,371998,372676,373317,373893,374470,375072,375627,376135,376619,377127,377583,378050,378479,378888,379276,379694,380066,380412,380788,381137,381463,381816,382124,382419,382693,382973,383242,383463,383703,383939,384176,384386,384609,384840,385058,385243,385424,385627,385809,385991,386164,386325,386482,386658,386800,386960,387093,387231,
60750,53,990,4360,10929,20249,31380,43964,57229,70417,83427,95942,108151,119785,130897,141540,151498,160909,169709,178073,185970,193347,200371,207123,213560,219402,224963,230384,235205,239889,244284,248440,252289,255983,259609,263015,266200,269379,272235,275021,277631,280159,282568,284797,286999,289137,291198,293082,294836,296618,298267,299837,301322,302781,304142,305432,306705,307928,309115,310293,311383,312367,313381,314310,315236,316107,316948,317746,318522,319289,320025,320737,321397,322043,322685,323255,323822,324372,324935,325479,325978,326484,326925,327341,327783,328213,328605,329002,329380,329739,330067,330464,330799,331125,331422,331741,332043,332324,332581,332856,333089,333329,333582,333821,334017,334226,334443,334659,334862,335038,335204,335357,335535,335704,335875,336058,336214,336347,336496,336611,
60760,12,372,2004,5795,11584,19182,28083,37702,47843,57869,68168,78060,87656,97002,105981,114495,122664,130452,137790,144690,151126,157391,163440,169071,174310,179302,184148,188775,192994,196993,200821,204522,208110,211416,214578,217602,220539,223176,225792,228227,230615,232873,235015,237087,239094,241018,242813,244582,246291,247859,249328,250748,252122,253374,254650,255848,256945,258057,259078,260133,261101,262091,263023,263938,264761,265573,266365,267117,267826,268529,269212,269863,270505,271061,271595,272152,272659,273161,273643,274110,274566,275023,275453,275883,276293,276708,277068,277454,277820,278174,278539,278878,279193,279484,279773,280042,280287,280539,280761,281008,281228,281470,281685,281887,282067,282279,282476,282672,282841,282998,283161,283321,283494,283646,283787,283943,284079,284206,284346,
60770,0,135,873,2900,6363,11194,17329,24340,31785,39485,47431,55300,63121,70688,78019,84990,91812,98488,104750,110813,116645,122173,127312,132248,136933,141481,145850,150006,153936,157579,161175,164560,167728,170769,173686,176478,179112,181637,184059,186313,188509,190616,192598,194515,196348,198085,199776,201431,202994,204483,205916,207248,208600,209877,211021,212222,213336,214401,215413,216329,217269,218159,219022,219810,220669,221422,222171,222903,223599,224251,224898,225502,226146,226716,227293,227824,228366,228828,229287,229745,230173,230597,231008,231438,231840,232221,232588,232927,233239,233566,233906,234224,234510,234796,235068,235349,235604,235839,236083,236301,236537,236756,236956,237167,237360,237553,237753,237914,238070,238249,238411,238557,238726,238863,239018,239149,239277,239421,239551,
60780,0,30,297,1149,2807,5513,9172,13479,18639,24102,29796,35621,41424,47148,53039,58681,64197,69574,74725,79753,84533,89110,93509,97776,101834,105790,109525,112956,116328,119579,122705,125599,128405,131061,133629,136070,138428,140672,142869,144883,146805,148752,150607,152347,154063,155618,157194,158611,160004,161369,162663,163916,165051,166171,167303,168320,169346,170337,171231,172153,173055,173848,174634,175413,176196,176902,177585,178283,178919,179558,180119,180692,181249,181805,182290,182772,183238,183689,184145,184589,184981,185402,185796,186186,186564,186904,187246,187594,187904,188185,188460,188767,189046,189317,189611,189859,190125,190356,190566,190821,191048,191234,191429,191621,191814,191997,192173,192367,192511,192686,192834,192977,193111,193268,193405,193532,193657,193787,193899,
60790,0,4,65,326,996,2123,3867,6285,9063,12240,15701,19458,23312,27191,31181,35136,39143,43048,46899,50591,54205,57701,61135,64420,67628,70731,73674,76554,79266,81848,84385,86849,89287,91646,93817,95869,97900,99860,101776,103488,105171,106796,108367,109854,111319,112689,114029,115277,116516,117629,118786,119867,120897,121941,122892,123840,124743,125575,126414,127186,127899,128629,129353,130072,130718,131375,132022,132634,133233,133788,134359,134872,135390,135826,136300,136739,137173,137545,137946,138316,138676,139058,139444,139789,140131,140460,140773,141127,141429,141728,142000,142262,142504,142759,143018,143260,143493,143702,143923,144140,144333,144555,144726,144901,145059,145222,145376,145521,145679,145821,145966,146112,146258,146399,146533,146646,146751,146859,146983,
60800,0,0,6,50,189,505,1040,1862,2933,4290,5887,7668,9590,11719,13902,16207,18542,20913,23320,25637,27978,30298,32536,34809,37022,39057,41073,43092,45072,46967,48779,50658,52353,54063,55690,57258,58764,60249,61686,63055,64447,65744,66919,68133,69308,70351,71396,72394,73340,74292,75160,76089,76942,77758,78519,79327,80078,80775,81444,82122,82748,83401,84028,84568,85116,85681,86221,86726,87185,87614,88088,88501,88933,89353,89773,90122,90469,90817,91152,91489,91817,92113,92398,92673,92973,93268,93545,93830,94069,94331,94566,94808,95035,95222,95443,95628,95829,96023,96206,96379,96534,96699,96862,97013,97162,97299,97432,97581,97707,97829,97957,98065,98182,98278,98390,98506,98627,98713,98812,
60811,1804,27934,103056,218979,356824,500216,641754,775861,900100,1013440,1117383,1212140,1297876,1376249,1447496,1512161,1571593,1625619,1675234,1720749,1762637,1801056,1836943,1870094,1900696,1929145,1955668,1980390,2003600,2025555,2045910,2064655,2082560,2099388,2115271,2130280,2144387,2157574,2170151,2182143,2193345,2203992,2214152,2223859,2232946,2241718,2250022,2257953,2265526,2272784,2279680,2286346,2292587,2298717,2304534,2310063,2315292,2320431,2325218,2329955,2334462,2338885,2343055,2347167,2351008,2354821,2358379,2361840,2365279,2368499,2371539,2374581,2377505,2380339,2383088,2385735,2388247,2390727,2393061,2395357,2397554,2399763,2401858,2403846,2405857,2407763,2409593,2411393,2413139,2414822,2416437,2418000,2419611,2421181,2422707,2424131,2425482,2426886,2428244,2429537,2430797,2432051,2433306,2434486,2435576,2436684,2437859,2438921,2439957,2441002,2442009,2442951,2443931,2444858,2445778,2446645,2447513,2448360,2449183,
60820,16,1125,9877,35483,81547,145763,224051,311357,402957,495404,586714,675979,761975,843581,921657,995328,1065090,1131339,1193783,1252525,1307511,1359749,1408988,1454970,1498587,1539388,1577689,1614307,1648749,1681175,1712099,1741101,1768723,1795142,1819956,1843656,1866070,1887523,1907743,1927368,1945841,1963445,1980161,1996227,2011595,2026398,2040605,2054063,2067127,2079619,2091412,2102702,2113569,2124030,2134280,2143907,2153182,2162135,2170748,2178915,2186993,2194707,2202106,2209423,2216379,2223180,2229573,2235943,2241957,2247820,2253520,2259006,2264331,2269518,2274567,2279440,2284157,2288648,2293081,2297211,2301354,2305373,2309177,2312995,2316669,2320231,2323791,2327112,2330478,2333715,2336874,2339926,2342868,2345814,2348642,2351406,2353946,2356513,2359126,2361615,2363942,2366283,2368551,2370786,2373044,2375270,2377244,2379222,2381217,2383116,2385050,2386903,2388715,2390457,2392105,2393759,2395360,2396965,2398553,
60830,1,51,1158,6601,20790,46227,83609,131060,187688,250573,317693,387552,457965,528294,598213,666688,733573,798434,861043,920858,978973,1034180,1087166,1137864,1186215,1232836,1277368,1319606,1360069,1398361,1435154,1470202,1503807,1535719,1566513,1595791,1623996,1650780,1676492,1701440,1725206,1748003,1770009,1790501,1810693,1830057,1848699,1866538,1883514,1900196,1915772,1930963,1945686,1959756,1973411,1986704,1999386,2011596,2023530,2034907,2045896,2056490,2066830,2076708,2086287,2095709,2104811,2113557,2121918,2130218,2138184,2145942,2153335,2160595,2167631,2174292,2180806,2187293,2193438,2199494,2205341,2211030,2216662,2222048,2227305,2232407,2237611,2242557,2247372,2251945,2256312,2260587,2264910,2269113,2273166,2277092,2281038,2284780,2288529,2292109,2295661,2298906,2302209,2305483,2308645,2311738,2314734,2317708,2320566,2323345,2326064,2328758,2331339,2333925,2336348,2338764,2341243,2343566,2345785,
60840,0,1,27,368,2064,6639,15891,30795,52116,79557,112919,150870,193241,238696,286479,336284,387089,438123,489951,541964,593303,644013,694168,743547,791387,838096,883661,928507,971839,1013775,1054433,1093732,1131966,1168380,1203995,1238563,1271530,1304047,1334934,1364785,1394092,1421743,1448641,1474946,1500042,1524895,1548820,1571680,1593876,1615402,1636349,1656481,1675977,1694949,1713129,1730928,1748141,1764702,1780912,1796684,1811925,1826419,1840989,1854629,1867892,1880956,1893699,1905984,1917775,1929400,1940596,1951662,1962355,1972720,1982926,1992731,2002377,2011578,2020639,2029484,2038124,2046414,2054537,2062357,2070115,2077559,2084891,2092031,2099084,2105870,2112521,2119078,2125536,2131861,2137950,2143813,2149550,2155261,2160890,2166291,2171459,2176682,2181663,2186644,2191505,2196309,2200921,2205523,2209941,2214269,2218530,2222681,2226691,2230731,2234545,2238271,2242030,2245658,2249206,
60850,0,0,0,1,26,188,740,2146,4865,9296,16211,25788,38260,53578,71922,92721,116235,142074,169877,199180,230099,262540,295814,329742,364990,400308,436055,471851,508055,544249,580191,615881,651213,685988,720216,754000,787320,820458,852941,884558,916035,946825,976785,1006136,1035308,1063544,1091128,1117824,1144049,1169736,1195175,1219672,1243816,1267506,1290505,1313256,1334984,1356586,1377547,1398046,1417920,1437480,1456549,1475337,1493568,1511172,1528333,1545336,1561828,1577992,1593692,1609254,1624145,1638863,1653353,1667433,1681233,1694682,1707897,1720656,1733103,1745254,1757078,1769006,1780566,1791840,1802835,1813697,1824336,1834563,1844620,1854534,1864172,1873803,1883196,1892391,1901128,1909768,1918446,1926838,1935032,1942992,1950918,1958684,1966306,1973695,1981066,1988244,1995161,2002142,2008926,2015497,2021998,2028413,2034688,2040832,2046918,2052661,2058282,
60860,0,0,0,0,1,12,66,228,678,1629,3379,5993,9938,15364,22492,31293,41910,54719,68898,85094,103000,122465,143562,165778,189070,213450,238678,264931,292179,319912,347997,376428,404782,433438,462398,491424,520737,549665,578605,607259,635752,664057,692038,719714,747267,774474,801074,827501,853748,879758,905229,930357,955338,979786,1003630,1027013,1050329,1073115,1095279,1117341,1138711,1159572,1180103,1200518,1220425,1240214,1259640,1278654,1297011,1315227,1333238,1350942,1368140,1385032,1401817,1417910,1434030,1449647,1465031,1480127,1494817,1509148,1523624,1537662,1551492,1564973,1578035,1590922,1603577,1616085,1628417,1640454,1652237,1663754,1675091,1686442,1697427,1708225,1718810,1729229,1739279,1749180,1758813,1768456,1777919,1787122,1796260,1805203,1813856,1822598,1831124,1839475,1847406,1855766,1863758,1871536,1879275,1886779,1894155,
60870,0,0,0,0,0,0,1,7,32,98,267,594,1227,2233,3799,6045,9078,12882,17784,23632,30522,38789,48023,58318,69591,81942,95385,109990,125360,141560,158559,176249,194633,213814,233556,253769,274392,295629,317127,338849,360771,382967,405453,428056,450827,473674,496198,519030,541714,564309,586919,609429,631859,654466,676735,698689,720975,742579,763972,785407,806230,827146,847942,868362,888685,908813,928554,948253,967749,986711,1005586,1024304,1042414,1060334,1078231,1095864,1113405,1130533,1147468,1164025,1180467,1196542,1212606,1228352,1243752,1258999,1273900,1288937,1303412,1317813,1331881,1345900,1359583,1373188,1386353,1399414,1412139,1424820,1437434,1449856,1462109,1474102,1485878,1497452,1508876,1519997,1530870,1541896,1552457,1563025,1573264,1583576,1593694,1603714,1613513,1623228,1632748,1642079,1651263,
60880,0,0,0,0,0,0,0,0,0,1,7,24,59,123,257,455,816,1350,2141,3189,4574,6274,8463,11046,14083,17740,21984,26945,32372,38414,45205,52613,60566,69255,78527,88286,98637,109588,121140,133052,145371,158365,171580,185111,199389,214066,228817,243883,259175,274910,290704,306922,323212,339586,356275,373061,390032,406840,423760,440913,458265,475425,492769,510134,527237,544496,561636,579032,596241,613330,630358,647219,663996,680693,697447,713975,730636,747174,763382,779537,795423,811106,826794,842598,858041,873517,888956,903785,918686,933442,948133,962896,977496,991984,1006168,1020229,1034084,1047943,1061680,1075199,1088752,1101968,1115069,1127995,1140639,1153464,1165901,1178295,1190508,1202694,1214619,1226376,1237978,1249505,1260956,1272335,1283535,1294663,1305565,
60890,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,4,13,32,61,105,176,289,453,691,997,1428,1951,2649,3447,4490,5720,7114,8738,10553,12684,15059,17708,20728,23966,27492,31384,35692,40286,45171,50369,55823,61780,67961,74367,81170,88406,95717,103396,111341,119720,128187,136819,145822,154931,164254,173960,183887,194093,204302,214655,225413,236108,246940,258013,269209,280462,291885,303210,314935,326740,338533,350335,362257,374248,386309,398359,410709,422878,434994,447264,459628,471789,484076,496593,508897,521041,533439,545607,557893,570244,582565,594784,606685,618948,631088,642999,655185,667307,679148,691028,702851,714637,726460,737966,749623,761286,772785,784250,795802,807215,818534,829577,840934,851988,
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61370,9,832,7219,25413,58444,105005,162352,226369,294361,364293,434048,502613,569116,633893,695572,754776,811183,864918,916565,965353,1011716,1055765,1097608,1137601,1175327,1211675,1245806,1278262,1309310,1339073,1367439,1394951,1420820,1445340,1469005,1491965,1513876,1534625,1554764,1574084,1592516,1610262,1627447,1643843,1659747,1675034,1689831,1704075,1717875,1730922,1743674,1756105,1768170,1779667,1790953,1801700,1812392,1822675,1832620,1842147,1851527,1860570,1869446,1877993,1886329,1894521,1902394,1909972,1917508,1924783,1931773,1938636,1945323,1952050,1958465,1964716,1970828,1976833,1982757,1988410,1993915,1999249,2004479,2009599,2014607,2019556,2024399,2029014,2033505,2037978,2042368,2046658,2050875,2055081,2059133,2063097,2066993,2070833,2074567,2078199,2081850,2085359,2088821,2092181,2095602,2098846,2102035,2105144,2108221,2111334,2114284,2117223,2120163,2123033,2125924,2128704,2131356,2133911,2136536,
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61390,0,0,25,268,1457,4589,10629,20478,34269,52242,73703,98353,126093,155727,187366,220136,254439,289367,324197,359738,394904,429914,465064,499411,532882,566269,599051,630946,662076,692837,722823,751782,780303,808187,834887,861208,886726,911442,935688,958993,982238,1004240,1025789,1047227,1068007,1087997,1107597,1126593,1145233,1163374,1181097,1198246,1214997,1230984,1246838,1262496,1277451,1292064,1306356,1320471,1334330,1347880,1360971,1373841,1386148,1398341,1410272,1421956,1433420,1444612,1455480,1466189,1476656,1486776,1496675,1506415,1516107,1525598,1534805,1543891,1552628,1561346,1569625,1578002,1586224,1594243,1602086,1609768,1617343,1624617,1632002,1639239,1646353,1653205,1660118,1666943,1673503,1679913,1686365,1692524,1698559,1704548,1710422,1716183,1722018,1727628,1733231,1738669,1744039,1749291,1754479,1759527,1764506,1769414,1774291,1779121,1783896,1788639,1793261,
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63520,22,1494,11686,39175,86578,149923,223410,303899,386747,469788,550059,627717,701778,771960,837871,900010,958619,1013492,1064845,1112705,1157728,1200303,1240098,1277553,1312383,1345478,1376397,1405695,1433214,1459448,1484066,1507076,1529080,1549875,1569746,1588640,1606522,1623513,1639723,1655096,1669855,1683813,1697030,1709975,1722486,1734209,1745534,1756206,1766468,1776423,1785885,1795214,1804135,1812610,1820797,1828701,1836296,1843722,1850798,1857931,1864494,1870929,1877153,1883192,1888961,1894580,1900023,1905285,1910221,1915111,1919904,1924526,1928986,1933397,1937590,1941582,1945594,1949468,1953205,1956805,1960268,1963781,1967188,1970479,1973741,1976950,1980034,1983009,1986010,1988826,1991526,1994100,1996705,1999235,2001718,2004176,2006507,2008826,2011059,2013292,2015433,2017547,2019643,2021644,2023627,2025523,2027490,2029341,2031120,2032940,2034715,2036432,2038140,2039760,2041367,2042978,2044473,2045962,2047433,
63530,1,163,2205,10519,28938,59234,100037,148871,204023,263125,324349,386287,447428,507736,566234,622138,676212,728020,777625,824838,869737,912730,953531,992217,1028825,1063566,1096841,1128378,1158363,1187063,1214406,1240100,1264562,1288084,1310468,1331832,1352289,1371794,1390565,1408304,1425417,1441696,1457406,1472351,1486648,1500609,1513942,1526813,1539123,1551049,1562427,1573427,1584117,1594275,1604220,1613681,1622899,1631871,1640668,1648982,1657075,1664875,1672409,1679720,1686818,1693711,1700448,1706984,1713262,1719259,1725222,1730987,1736576,1742084,1747330,1752406,1757418,1762215,1766905,1771552,1776030,1780406,1784766,1788896,1792986,1796916,1800748,1804504,1808164,1811780,1815262,1818675,1822041,1825355,1828489,1831618,1834700,1837607,1840560,1843457,1846187,1848824,1851486,1854087,1856664,1859157,1861563,1863917,1866369,1868800,1871043,1873274,1875449,1877537,1879589,1881641,1883567,1885605,1887534,
63540,0,4,173,1547,6049,15653,31416,53557,81583,114825,151816,191496,233318,276328,320089,364278,407655,450339,492261,533451,573235,612037,649102,685340,720266,753760,785769,816696,846378,875024,902731,929029,954669,979260,1003042,1025850,1047346,1068354,1088698,1108020,1126873,1144880,1162308,1179161,1195344,1210964,1225829,1240408,1254456,1268033,1280805,1293534,1305884,1317735,1329321,1340558,1351489,1361777,1371880,1381663,1391167,1400333,1409267,1417813,1426098,1434172,1442142,1449953,1457386,1464699,1471838,1478811,1485543,1491904,1498342,1504510,1510557,1516519,1522295,1527927,1533403,1538652,1543844,1548900,1553924,1558899,1563684,1568236,1572736,1577114,1581335,1585624,1589745,1593737,1597688,1601570,1605350,1609064,1612764,1616301,1619847,1623298,1626714,1629970,1633200,1636324,1639578,1642518,1645440,1648374,1651301,1654070,1656812,1659501,1662083,1664677,1667212,1669710,1672136,
63550,0,0,3,70,584,2201,5782,12082,21581,34038,49864,68746,89812,113400,138927,165371,192926,221326,250517,279650,308993,337880,366953,395706,423777,451395,478586,505368,531291,556471,581271,605249,628622,651081,673070,694564,715623,735723,755323,774126,792465,810319,827720,844570,861100,877066,892463,907472,922037,936127,949960,963352,976615,989365,1001798,1013839,1025475,1036809,1047808,1058321,1068914,1079093,1088978,1098595,1107813,1116900,1125665,1134373,1142788,1150929,1158871,1166585,1174466,1181863,1189241,1196303,1203204,1210015,1216727,1223248,1229666,1236029,1242173,1248210,1254082,1259684,1265146,1270511,1275783,1280959,1286026,1290949,1295787,1300564,1305189,1309680,1314140,1318415,1322738,1327004,1331301,1335456,1339529,1343396,1347198,1350972,1354681,1358290,1361847,1365405,1368907,1372176,1375526,1378649,1381875,1385014,1388183,1391260,1394215,
63560,0,0,1,18,129,611,1844,4398,8655,14973,23585,34427,47349,62177,78616,96811,116212,136845,158095,180085,202789,225723,248834,272197,295493,318566,341721,364396,386616,408615,430375,451851,472606,492868,512759,532554,551816,570850,589100,606910,624403,641399,658033,674008,689932,705382,720331,734908,749098,762987,776691,789763,802664,815283,827607,839419,850963,862274,873253,883918,894415,904576,914501,924121,933699,943137,952279,961154,969764,978329,986643,994818,1002764,1010486,1018099,1025493,1032637,1039594,1046388,1053216,1059839,1066340,1072681,1078977,1085001,1090892,1096670,1102229,1107703,1113196,1118556,1123714,1128875,1133872,1138879,1143620,1148449,1153250,1157890,1162404,1166756,1171032,1175257,1179430,1183625,1187760,1191667,1195561,1199414,1203182,1206976,1210436,1214035,1217432,1220877,1224246,1227475,1230705,1233870,
63570,0,0,0,2,24,145,471,1350,2927,5469,9322,14605,21348,29533,39150,50215,62502,75711,89972,105233,121125,137467,154655,172207,189758,207561,225370,243364,261525,279617,297546,315227,332699,350143,367174,383995,400796,417492,433642,449504,464969,480234,495372,510047,524471,538591,552385,566002,579287,592057,604695,617191,629264,641189,652689,664103,675247,686039,696605,707206,717485,727502,737140,746659,756119,765149,774069,782791,791340,799746,807887,816062,824012,831677,839221,846656,854085,861148,868089,874864,881522,887949,894307,900693,906802,912816,918727,924537,930192,935855,941224,946680,951908,957014,962082,967231,972002,976867,981573,986183,990663,995175,999626,1004021,1008277,1012451,1016663,1020735,1024611,1028470,1032327,1036121,1039834,1043456,1047080,1050631,1054075,1057442,1060803,
63580,0,0,0,0,3,12,86,292,740,1636,3082,5197,8163,12000,16651,22342,28910,36612,44957,54122,64044,74410,85612,97207,109416,121976,134715,147734,160863,174445,187999,201686,215270,228901,242698,256316,269556,282958,296044,309132,322078,334931,347391,359976,372269,384482,396397,408324,420059,431587,442709,453944,464945,475846,486462,496794,507004,516973,526704,536331,545745,554942,564154,573154,581892,590536,598956,607325,615436,623388,631201,638896,646488,654007,661247,668377,675492,682207,688889,695528,702065,708497,714790,720916,726819,732842,738636,744396,749911,755376,760863,766218,771472,776554,781507,786581,791520,796358,801139,805858,810504,815174,819681,824197,828530,832751,836871,840831,844821,848806,852651,856568,860346,864082,867765,871369,874926,878477,881972,
63590,0,0,0,0,0,2,13,39,116,316,672,1280,2292,3700,5577,7945,10789,14299,18410,23124,28379,34166,40450,47279,54363,62067,70080,78429,87110,96134,105255,114651,124168,133768,143496,153250,163115,173103,183295,193343,203270,213120,222878,232827,242759,252467,262006,271601,281053,290455,299730,309026,318223,327111,336162,344827,353408,361974,370448,378839,387058,395349,403393,411289,419102,426738,434287,441629,448770,455982,462952,469720,476709,483237,489958,496415,502859,509285,515517,521638,527697,533751,539693,545409,550937,556611,562072,567366,572657,577964,583214,588412,593378,598322,603111,607880,612601,617176,621761,626227,630671,634975,639166,643333,647541,651560,655498,659452,663503,667408,671198,674932,678685,682417,686083,689671,693238,696646,699932,
63600,0,0,0,0,0,1,2,8,38,106,234,472,874,1493,2420,3665,5281,7230,9634,12433,15749,19425,23529,27943,32985,38267,43995,50020,56202,62730,69655,76639,83855,91122,98531,106169,114032,121730,129745,137754,145757,153772,161876,170049,178131,186188,194156,202304,210379,218510,226397,234295,242137,249973,257765,265529,272955,280362,287884,295285,302503,309813,316823,323836,330759,337656,344512,351188,357699,364318,370738,376939,383123,389273,395334,401358,407224,412990,418687,424368,429991,435596,441045,446459,451744,456893,461926,466976,471986,476954,481867,486574,491314,495999,500638,505196,509768,514146,518383,522766,526809,530973,535145,539087,543162,547135,551039,554846,558732,562491,566092,569653,573299,576722,580214,583564,587031,590374,593731,
63610,0,0,0,0,0,0,0,1,5,19,61,141,315,568,968,1530,2299,3321,4575,6143,8012,10061,12508,15127,18161,21511,25094,28985,33133,37482,42137,47049,52243,57453,62972,68549,74289,80175,86033,92103,98318,104632,111043,117514,123994,130541,136909,143187,149543,155988,162545,169030,175655,182076,188505,194895,201365,207758,213986,220197,226352,232368,238501,244537,250504,256444,262248,268117,273853,279505,285272,290784,296188,301649,306974,312415,317703,322952,328159,333140,338198,343254,348251,353170,357998,362710,367380,372014,376524,380974,385368,389831,394180,398516,402772,406988,411000,415100,419119,423140,427008,430837,434759,438559,442328,446063,449734,453408,456961,460450,463945,467329,470584,473863,477063,480264,483417,486431,489523,
63620,0,0,0,0,0,0,0,0,0,5,19,50,93,185,331,526,863,1279,1860,2578,3453,4494,5735,7214,8843,10734,12768,15133,17640,20335,23223,26317,29665,33110,36679,40424,44387,48495,52711,56924,61264,65919,70571,75206,79959,84802,89644,94488,99462,104503,109483,114432,119476,124456,129581,134525,139620,144651,149620,154688,159728,164718,169657,174669,179528,184525,189373,194182,199094,203874,208602,213201,217869,222476,227202,231744,236332,240894,245333,249717,254147,258491,262754,266968,271199,275461,279713,283811,287813,291735,295605,299594,303386,307310,311269,315063,318777,322542,326186,329797,333283,336677,340115,343555,346968,350292,353603,356942,360180,363435,366696,369815,372906,375961,379053,382063,385029,387999,390816,
63630,0,0,0,0,0,0,0,0,0,1,4,8,16,35,71,134,244,390,616,920,1297,1764,2311,3000,3773,4684,5739,6962,8249,9788,11424,13230,15151,17171,19359,21515,23963,26547,29204,32016,34933,37887,40964,44076,47240,50532,53940,57329,60783,64274,67908,71480,75161,78909,82597,86369,90125,94008,97860,101727,105483,109339,113196,117087,120911,124734,128536,132369,136231,139994,143812,147649,151401,155176,158973,162649,166334,169983,173629,177252,180856,184466,188163,191735,195338,198782,202284,205705,209182,212454,215836,219109,222401,225575,228869,232079,235278,238512,241648,244779,247716,250756,253784,256714,259781,262701,265487,268421,271373,274226,277137,279920,282656,285338,288029,290746,293440,296124,298766,
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63670,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,6,8,8,13,24,33,46,71,91,133,167,209,267,330,416,514,603,723,861,1013,1175,1350,1562,1785,2005,2264,2529,2811,3105,3456,3767,4154,4548,4954,5389,5824,6295,6782,7318,7827,8391,8970,9540,10123,10730,11359,12001,12664,13336,14019,14717,15430,16184,16932,17746,18484,19211,20051,20877,21730,22583,23400,24261,25100,25943,26820,27753,28636,29550,30447,31350,32283,33243,34203,35108,36033,36971,37901,38871,39822,40740,41713,42684,43747,44701,45642,46593,47482,48435,49375,50339,51313,52266,53222,54244,55256,56261,
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65430,0,0,1,3,23,107,326,735,1504,2681,4388,6564,9248,12428,16045,20213,24762,29692,34914,40264,46099,52090,58213,64498,70925,77267,83694,90090,96484,102971,109329,115641,121904,128336,134602,140842,146965,153076,159077,164815,170662,176420,181929,187446,192867,198161,203271,208379,213385,218322,223196,227972,232699,237360,241877,246334,250698,254969,259080,263208,267249,271120,275136,278887,282631,286342,289978,293503,296994,300364,303745,306971,310178,313320,316474,319595,322532,325483,328395,331153,333837,336652,339348,342072,344661,347122,349616,352059,354454,356801,359068,361429,363716,365954,368200,370409,372563,374556,376576,378536,380494,382381,384294,386192,388045,389796,391597,393320,395004,396659,398354,399993,401552,403172,404780,406313,407895,409392,410825,
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65450,0,0,0,0,0,2,17,40,137,310,584,1017,1622,2428,3394,4600,6053,7718,9613,11746,14010,16455,19093,21904,24804,27822,30985,34152,37481,40844,44279,47980,51636,55312,58986,62738,66391,70108,73923,77655,81341,85050,88558,92106,95749,99268,102832,106365,109889,113332,116677,119936,123215,126578,129827,133068,136240,139336,142410,145467,148457,151463,154382,157241,160053,162955,165683,168430,171126,173759,176308,178889,181452,183979,186452,188791,191228,193683,195979,198324,200616,202840,205037,207194,209376,211459,213553,215521,217519,219439,221393,223168,225065,226895,228682,230487,232226,233977,235711,237343,239027,240602,242288,243909,245483,247069,248621,250196,251699,253190,254666,256033,257437,258785,260106,261401,262769,264036,265302,
65460,0,0,0,0,0,0,1,9,25,63,139,291,489,796,1183,1713,2321,3131,4037,5070,6165,7462,8881,10375,12011,13859,15779,17796,19885,22125,24400,26777,29100,31522,34090,36616,39110,41731,44322,46959,49557,52249,54858,57563,60260,62850,65483,68052,70706,73340,75979,78534,81101,83649,86168,88679,91123,93614,96005,98446,100893,103345,105672,108010,110279,112562,114817,117100,119335,121532,123645,125771,127907,129967,132020,134055,136033,137979,139897,141866,143800,145654,147494,149298,151106,152934,154718,156429,158141,159883,161603,163161,164772,166451,168018,169602,171163,172682,174246,175675,177151,178613,180031,181380,182797,184218,185568,186890,188166,189411,190671,191948,193209,194518,195710,196889,198062,199230,200385,
65470,0,0,0,0,0,0,1,1,1,9,22,46,84,145,273,424,619,886,1229,1592,2077,2617,3169,3872,4626,5484,6326,7321,8334,9402,10612,11867,13182,14498,15848,17299,18776,20276,21839,23458,25074,26776,28427,30111,31751,33450,35175,36987,38711,40479,42209,44041,45799,47517,49267,51050,52783,54593,56313,58056,59718,61423,63064,64729,66384,67990,69638,71312,72949,74621,76255,77843,79413,80963,82590,84145,85623,87120,88627,90182,91723,93181,94521,95987,97441,98818,100277,101693,103113,104417,105745,106998,108302,109645,110897,112130,113373,114607,115812,117045,118256,119492,120605,121697,122818,123977,125103,126223,127338,128448,129494,130590,131611,132643,133674,134707,135653,136671,137668,
65480,0,0,0,0,0,0,0,0,0,0,0,0,4,7,23,51,78,126,183,260,356,478,639,830,1033,1264,1543,1867,2208,2584,2967,3402,3879,4408,4946,5525,6160,6786,7445,8144,8872,9656,10418,11173,11970,12814,13696,14572,15522,16448,17344,18301,19245,20217,21267,22291,23252,24179,25204,26183,27178,28244,29195,30154,31163,32109,33092,34122,35122,36157,37116,38142,39151,40094,41077,42050,43027,44042,45031,45984,46952,47922,48878,49855,50767,51717,52628,53550,54495,55379,56261,57162,58092,58977,59869,60709,61586,62459,63331,64189,65041,65873,66720,67552,68406,69242,70011,70830,71620,72382,73151,73912,74644,75415,76139,76887,77645,78336,79064,
6549846,44927,164684,308849,448644,573294,681983,776454,858344,929946,991875,1047215,1095950,1139774,1178803,1213900,1245807,1274967,1302140,1326798,1349325,1369965,1389311,1407424,1424096,1439697,1454386,1468084,1480908,1493074,1504434,1515152,1525266,1534962,1544046,1552968,1561289,1569195,1576671,1583921,1590738,1597378,1603554,1609538,1615282,1620901,1626267,1631497,1636237,1640963,1645595,1650043,1654225,1658365,1662264,1666124,1669803,1673399,1676771,1680175,1683340,1686402,1689411,1692298,1695086,1697812,1700446,1703061,1705594,1708035,1710360,1712604,1714827,1716992,1719072,1721202,1723203,1725144,1727003,1728833,1730650,1732377,1734099,1735681,1737332,1738941,1740516,1741961,1743442,1744846,1746317,1747742,1749137,1750505,1751790,1753044,1754228,1755448,1756572,1757721,1758852,1759930,1761007,1762092,1763142,1764154,1765205,1766142,1767036,1767986,1768893,1769803,1770749,1771635,1772502,1773334,1774165,1774943,1775744,1776551,
655037,9481,56904,138025,231495,326506,416078,497877,571987,639545,700814,755895,805441,850778,892438,929856,964276,996213,1025470,1052384,1077347,1100599,1122501,1142834,1161885,1179728,1196496,1212463,1227412,1241452,1254788,1267371,1279174,1290448,1301257,1311547,1321280,1330481,1339355,1347781,1356037,1363890,1371535,1378665,1385539,1392145,1398473,1404740,1410540,1416237,1421771,1427134,1432287,1437172,1441928,1446459,1450834,1455096,1459195,1463195,1466984,1470718,1474386,1477887,1481268,1484554,1487785,1490791,1493841,1496728,1499552,1502320,1505011,1507724,1510233,1512790,1515164,1517561,1519883,1522100,1524299,1526474,1528510,1530523,1532544,1534499,1536404,1538278,1540119,1541945,1543673,1545370,1547113,1548771,1550416,1551977,1553517,1555041,1556485,1557896,1559387,1560797,1562102,1563449,1564756,1566024,1567301,1568537,1569766,1570915,1572034,1573132,1574171,1575194,1576220,1577334,1578387,1579353,1580385,1581364,
65515,3093,26428,76517,142832,216610,290633,361360,428127,489883,547028,599482,647685,691708,732304,770047,804722,836618,866229,893708,919572,943692,966317,987440,1007474,1026082,1043690,1060430,1076013,1090963,1104930,1118368,1131213,1143269,1154874,1165916,1176352,1186349,1195835,1204941,1213721,1221962,1230117,1237851,1245244,1252432,1259201,1266000,1272319,1278370,1284290,1290012,1295458,1300824,1306079,1311124,1315954,1320587,1325035,1329474,1333702,1337881,1341865,1345663,1349406,1353036,1356567,1360022,1363420,1366644,1369729,1372824,1375749,1378657,1381445,1384229,1386838,1389354,1391926,1394507,1396985,1399288,1401581,1403836,1406088,1408215,1410345,1412392,1414463,1416479,1418498,1420449,1422271,1424062,1425830,1427547,1429289,1430964,1432498,1434079,1435680,1437188,1438716,1440123,1441543,1442900,1444277,1445630,1446925,1448193,1449449,1450659,1451847,1453015,1454187,1455405,1456534,1457676,1458782,1459820,
65520,724,9559,34866,75319,125238,179924,235308,290281,342728,392665,439552,483403,524636,562946,598735,632035,663097,692378,720084,745714,769889,792755,814192,834219,853182,871327,888488,904902,920216,934994,948934,962264,975163,987157,998640,1009832,1020396,1030553,1040046,1049152,1058071,1066717,1074926,1082705,1090381,1097652,1104835,1111640,1118281,1124659,1130746,1136710,1142449,1148007,1153417,1158656,1163758,1168612,1173323,1177914,1182264,1186687,1190973,1195022,1199002,1202906,1206682,1210289,1213894,1217357,1220618,1223961,1227238,1230327,1233312,1236290,1239234,1242017,1244807,1247493,1250141,1252710,1255173,1257638,1260026,1262339,1264617,1266790,1268924,1271001,1273130,1275162,1277212,1279083,1280952,1282827,1284699,1286467,1288228,1289990,1291666,1293284,1294952,1296529,1298112,1299595,1301122,1302607,1304003,1305367,1306778,1308212,1309501,1310798,1311995,1313209,1314449,1315602,1316763,
65530,68,2290,11810,30876,58866,92960,130996,170568,210314,250019,288151,325158,360561,394317,426303,456657,485328,512831,538437,562881,585891,607793,628712,648735,667560,685440,702294,718334,734005,748777,762860,776235,789008,801409,813343,824410,835373,845803,855694,865410,874693,883647,892245,900621,908494,916188,923818,931036,938005,944768,951346,957600,963757,969592,975316,980863,986231,991481,996571,1001371,1006115,1010690,1015238,1019571,1023911,1027997,1031984,1035961,1039761,1043458,1047074,1050694,1054190,1057572,1060789,1063883,1066932,1069927,1072813,1075729,1078512,1081364,1084047,1086693,1089198,1091703,1094212,1096690,1099091,1101414,1103642,1105873,1107951,1110062,1112132,1114199,1116138,1118074,1119888,1121764,1123561,1125367,1127110,1128799,1130442,1132049,1133647,1135224,1136766,1138275,1139766,1141207,1142697,1144102,1145543,1146953,1148276,1149579,1151001,
65540,19,928,5867,17446,36047,60611,89560,120561,153152,186523,219412,251724,282594,312927,341866,369575,396111,421666,445689,468561,490275,511348,531325,550343,568577,585988,602541,618282,633201,647630,661540,674813,687402,699652,711299,722575,733482,744132,754127,763754,773210,782279,791073,799431,807671,815443,822897,830250,837297,844142,850772,857353,863633,869588,875405,881042,886630,892133,897265,902360,907384,912105,916693,921207,925681,929925,934123,938093,942015,945801,949580,953217,956724,960137,963529,966678,969968,973077,976148,979152,982067,984994,987769,990526,993218,995818,998446,1000925,1003433,1005845,1008160,1010546,1012779,1015005,1017215,1019280,1021337,1023365,1025302,1027192,1029116,1030953,1032809,1034616,1036344,1038062,1039766,1041470,1043076,1044701,1046329,1047846,1049396,1050960,1052422,1053874,1055299,1056680,1058013,
65550,1,283,2308,8383,19423,35543,55754,78766,103927,130330,157289,183879,210611,236894,262220,287127,310746,333924,355951,377033,397443,416848,435747,453841,471191,487683,503606,518780,533528,547434,560939,573884,586330,598373,609879,620996,631848,642198,652047,661627,670822,679700,688440,696787,704930,712631,720127,727451,734603,741464,748065,754619,760901,766951,772839,778441,784020,789364,794589,799652,804738,809627,814362,818895,823358,827719,832051,836165,840195,844064,847843,851484,855218,858834,862285,865775,869191,872353,875522,878669,881648,884626,887419,890291,892989,895681,898272,900739,903203,905739,908079,910519,912858,915061,917269,919445,921561,923634,925644,927636,929591,931589,933492,935369,937172,938977,940670,942428,944121,945740,947321,948862,950449,951969,953492,955031,956543,957919,959307,
65560,1,90,847,3498,9313,18880,31669,47227,65033,84518,104857,125962,147079,168204,189395,210073,230400,250471,269731,288662,306768,324298,340958,357236,372970,388101,402750,416818,430559,443916,456553,468857,480888,492368,503479,514010,524260,534371,543912,553268,562260,570898,579284,587384,595144,603037,610492,617815,624803,631627,638222,644643,650904,656883,662815,668547,674118,679498,684854,689954,694961,699815,704458,709053,713491,717827,721984,726184,730295,734289,738155,741821,745581,749235,752743,756118,759483,762818,765970,769199,772160,775152,778045,780952,783820,786530,789281,791863,794471,797015,799462,801872,804289,806504,808761,810979,813149,815286,817392,819498,821421,823373,825300,827210,829072,830844,832601,834381,836143,837804,839494,841116,842782,844345,845940,847473,848927,850415,851861,
65570,0,10,205,1134,3638,8287,15094,24307,35376,48210,62371,77234,92905,109104,125251,141653,158069,174299,190327,206072,221439,236296,251001,265382,279300,292927,306114,318773,330973,342865,354414,365600,376326,387153,397367,407540,417068,426459,435412,444319,452813,461126,468959,476706,484185,491547,498657,505678,512403,519078,525307,531655,537590,543421,549091,554691,560208,565658,570744,575703,580631,585400,590034,594504,598867,603056,607340,611320,615488,619446,623273,626969,630656,634262,637721,641077,644428,647673,650823,654011,657032,660015,662959,665766,668655,671421,674141,676779,679330,681872,684358,686903,689280,691570,693958,696197,698450,700576,702816,704898,706886,708931,710959,712899,714820,716646,718448,720189,721927,723674,725374,727059,728676,730234,731832,733389,734896,736410,737878,
65580,0,2,77,512,1767,4443,8823,14916,22700,31946,42545,54056,66244,79294,92725,106209,119840,133502,147298,160951,174261,187545,200421,213018,225553,237531,249591,261125,272450,283347,294089,304517,314700,324627,334169,343540,352619,361384,369894,378168,386125,394057,401642,409149,416313,423410,430253,436859,443275,449573,455941,461957,467820,473507,479131,484610,489783,494869,499795,504801,509511,514043,518623,523016,527518,531775,535845,539800,543783,547576,551339,555074,558621,562162,565639,568999,572285,575467,578620,581709,584708,587613,590556,593353,596149,598898,601652,604236,606840,609360,611806,614134,616465,618822,621128,623408,625662,627793,629905,631940,633980,635981,637949,639920,641786,643688,645522,647268,648957,650654,652328,654014,655614,657232,658800,660421,661879,663417,664874,
65590,0,1,23,194,787,2152,4504,8178,13180,19370,26721,34913,44234,53872,64257,75073,86273,97419,108641,119995,131438,142773,153710,164904,175695,186386,196842,207183,217362,227281,236930,246139,255372,264254,273086,281590,289935,297969,305891,313678,321097,328599,335989,343104,349815,356441,362927,369141,375207,381061,386888,392575,398199,403623,408853,414082,419142,424144,428926,433728,438301,442860,447324,451475,455634,459751,463804,467773,471664,475415,478984,482523,486007,489366,492808,496056,499225,502350,505461,508574,511476,514391,517203,519994,522702,525332,527885,530418,533033,535525,537935,540360,542730,545030,547237,549486,551622,553711,555791,557871,559917,561907,563857,565797,567738,569649,571426,573260,575023,576709,578380,579976,581597,583106,584676,586261,587816,589371,590943,
65600,0,0,9,56,273,877,2032,4083,6922,10657,15382,20947,27201,34042,41621,49503,57783,66385,75358,84449,93538,102779,111807,120787,129909,138959,147812,156594,165222,173856,182262,190532,198491,206282,214250,221840,229179,236392,243470,250340,257220,263900,270313,276584,282893,288973,294983,300879,306608,312159,317594,323005,328243,333290,338257,342955,347738,352381,357060,361422,365710,369946,374097,378322,382283,386234,390112,393931,397490,401065,404469,408038,411508,414781,418157,421401,424444,427498,430477,433451,436262,439140,441935,444649,447384,450001,452542,455018,457558,459965,462287,464567,466938,469201,471425,473550,475700,477764,479790,481733,483678,485630,487458,489288,491157,492950,494763,496545,498237,499953,501572,503143,504701,506304,507884,509402,510963,512449,514020,
65610,0,0,2,20,65,265,758,1619,3096,5136,7791,11098,14929,19362,24176,29691,35452,41436,47849,54453,61183,68220,75155,82366,89481,96605,103491,110561,117598,124640,131537,138425,145244,152021,158578,165021,171463,177808,184133,190196,196209,202119,207806,213461,219042,224415,229677,234864,240031,245028,250070,254820,259556,264122,268612,273201,277565,281832,286083,290128,294096,298076,301991,305763,309461,313095,316705,320237,323704,327073,330282,333607,336799,339867,342940,345965,348894,351730,354624,357383,360099,362733,365367,367969,370528,372992,375383,377830,380193,382514,384850,387055,389307,391451,393661,395714,397760,399787,401772,403697,405608,407530,409397,411224,412986,414798,416525,418170,419815,421417,423078,424616,426212,427701,429271,430721,432207,433691,435100,
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66020,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,5,13,21,37,58,88,119,165,226,290,378,462,578,736,900,1082,1308,1523,1776,2035,2332,2649,2981,3330,3665,4037,4428,4802,5266,5697,6153,6674,7209,7701,8201,8701,9268,9816,10331,10928,11505,12081,12673,13262,13874,14486,15106,15736,16391,17031,17669,18292,18936,19623,20259,20896,21541,22199,22778,23403,24077,24705,25320,25960,26558,27116,27722,28351,28954,29525,30115,30743,31334,31929,32505,33078,33630,34182,34756,35323,35861,36454,36983,37487,38051,38587,39123,39674,40172,40625,41099,41528,42016,42509,43029,43519,43997,44436,44880,45343,45796,46272,
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66090,0,4,30,277,1183,3481,7814,14319,23374,34657,47621,62172,77971,94532,111973,129907,147911,165855,183724,201558,219051,236336,253070,269356,285296,301092,315789,330207,344321,357925,371107,383735,395882,407606,418875,429675,440252,450380,460256,469701,478904,487737,496634,504953,512992,520839,528321,535555,542692,549515,556049,562432,568621,574540,580442,586103,591556,596757,601962,606921,611740,616353,620876,625244,629639,633787,637731,641584,645338,649014,652458,655928,659523,662928,666150,669291,672410,675330,678186,680996,683764,686481,688989,691575,694043,696456,698805,701124,703430,705609,707738,709783,711805,713789,715690,717605,719465,721297,723072,724746,726422,728031,729641,731136,732654,734203,735706,737241,738697,740133,741504,742862,744177,745437,746719,747891,749069,750260,751440,
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66620,39,1253,7136,20312,40803,66544,95966,127433,159535,191704,222997,253070,282377,310026,336413,361734,385914,408702,430199,450676,469916,488259,505586,522148,537681,552134,566416,580002,592711,604892,616506,627573,638244,648451,658196,667529,676396,684879,693187,701066,708744,716152,723041,729725,736212,742499,748619,754373,759838,765291,770587,775592,780351,785096,789691,794119,798384,802542,806540,810463,814170,817786,821354,824726,827958,831177,834253,837224,840125,842945,845669,848313,850959,853396,855867,858250,860611,862906,865118,867346,869459,871490,873505,875394,877314,879194,880929,882650,884390,886065,887668,889249,890750,892252,893749,895189,896613,898025,899426,900772,902051,903298,904520,905709,906886,908054,909142,910272,911350,912382,913415,914457,915472,916409,917419,918380,919284,920190,921062,
66630,17,478,3409,10965,24108,41994,63847,87766,112983,139097,165340,191453,216681,241093,264375,286988,308569,329268,349153,367978,385859,403025,419571,435188,449874,464005,477391,490360,502652,514420,525633,536629,547076,557124,566630,575784,584590,592987,600910,608669,615981,623381,630367,637067,643539,649737,655641,661394,666934,672282,677386,682379,687307,691978,696545,700898,705121,709237,713202,717046,720901,724578,728145,731476,734786,737963,741093,744180,747155,749986,752865,755623,758196,760778,763190,765648,768067,770374,772530,774714,776805,778985,781064,783073,784955,786867,788732,790457,792224,793990,795623,797285,798947,800543,802105,803575,804928,806353,807799,809120,810475,811739,813005,814244,815505,816701,817861,818937,820065,821145,822208,823229,824228,825238,826168,827122,828069,829038,829945,
66640,3,127,1306,5081,12481,23412,37811,54774,73622,93529,114120,134734,155607,176213,196493,216033,235042,253074,270724,287702,304005,319409,334433,348688,362349,375536,388149,400289,411931,423132,433759,443983,454020,463358,472278,480898,489282,497419,505293,512735,520073,527268,534080,540514,546841,553116,558858,564501,569965,575385,580458,585325,590146,594727,599193,603515,607653,611670,615589,619482,623158,626766,630351,633757,637121,640369,643498,646466,649405,652247,655188,657971,660552,663083,665588,668014,670320,672602,674797,676953,679043,681127,683203,685235,687275,689256,691179,692961,694743,696490,698142,699743,701286,702837,704374,705874,707382,708805,710202,711600,712963,714253,715509,716789,718033,719162,720313,721427,722569,723661,724710,725750,726815,727805,728804,729818,730750,731685,732659,
66650,0,32,412,2000,5629,11646,20170,30954,43708,57975,72923,88506,104562,120652,136739,152523,168329,183489,198319,212927,227011,240731,253965,266607,278809,290708,302189,313103,323794,333788,343695,353227,362317,371003,379549,387611,395368,402980,410407,417475,424400,430986,437384,443646,449527,455351,460949,466468,471671,476909,481919,486702,491473,495955,500215,504415,508543,512580,516465,520292,523971,527531,530954,534320,537604,540763,543909,546993,549883,552722,555520,558285,560910,563553,566024,568556,570856,573202,575353,577515,579636,581768,583722,585701,587622,589507,591321,593126,594868,596568,598232,599851,601458,603060,604649,606112,607675,609223,610598,612021,613339,614676,615966,617189,618409,619608,620823,621972,623128,624253,625350,626403,627427,628420,629403,630408,631318,632251,633141,
66660,0,13,172,996,3134,6906,12742,20377,29679,40330,52153,64931,78121,91332,104943,118463,132085,145347,158473,171384,183811,195889,207760,219467,230501,241375,251866,262184,271923,281422,290497,299521,308041,316351,324390,332036,339293,346650,353547,360237,366817,373247,379246,385203,390960,396527,401768,407115,412137,417053,421974,426496,430923,435216,439531,443657,447505,451327,455126,458792,462302,465896,469267,472525,475794,478895,482055,485015,487876,490611,493344,496023,498614,501217,503663,506084,508392,510738,512889,515066,517161,519200,521271,523255,525166,527067,528888,530732,532394,534102,535798,537433,539038,540625,542157,543731,545163,546601,547986,549377,550706,552051,553316,554550,555777,556947,558183,559323,560427,561522,562634,563722,564745,565771,566775,567751,568671,569656,570517,
66670,0,6,68,431,1492,3675,7388,12485,18974,26694,35619,45151,55191,65773,76718,87773,98845,109960,121362,132463,143358,154013,164550,174696,184736,194489,203918,213321,222319,230994,239315,247365,255222,262828,270131,277434,284485,291139,297528,303908,310053,316049,321697,327279,332736,338062,343161,348169,353046,357776,362314,366704,370951,375143,379206,383125,386911,390654,394256,397855,401300,404664,407968,411046,414152,417174,420157,423035,425730,428463,431128,433702,436262,438662,441100,443515,445852,448079,450318,452413,454549,456548,458577,460560,462414,464254,465994,467709,469399,471085,472702,474314,475862,477357,478814,480221,481683,483111,484489,485804,487115,488391,489641,490903,492106,493292,494488,495596,496730,497786,498865,499836,500850,501834,502817,503817,504760,505720,506652,
66680,0,1,21,138,622,1748,3779,6866,10945,16016,22162,29108,36480,44399,52848,61450,70464,79427,88695,97880,107032,116069,124848,133570,142136,150450,158649,166711,174699,182369,189777,197028,204183,211085,217836,224348,230678,236837,242812,248471,254201,259561,265057,270171,275188,280039,284817,289533,294004,298538,302731,306807,310898,314815,318657,322438,326019,329534,333093,336574,339739,342910,345987,349055,351984,354883,357660,360414,363089,365752,368295,370771,373156,375497,377871,380126,382371,384497,386629,388737,390690,392762,394742,396583,398368,400137,401954,403678,405383,407081,408696,410284,411804,413277,414784,416186,417592,418978,420339,421634,422862,424113,425342,426498,427675,428789,429917,431016,432125,433225,434254,435252,436300,437233,438214,439130,440049,441025,441906,
66690,0,0,3,41,209,711,1745,3307,5649,8784,12565,17099,22257,27774,33802,40034,46644,53487,60409,67469,74655,81858,88945,96103,103273,110159,117093,123930,130482,137054,143425,149807,156052,162045,167987,173619,179270,184640,189955,195118,200129,205012,209829,214559,219181,223559,227985,232383,236435,240426,244294,248085,251843,255608,259093,262471,265849,269173,272280,275477,278563,281558,284430,287241,290057,292876,295473,298042,300585,302924,305245,307576,309915,312144,314390,316561,318692,320832,322810,324796,326773,328639,330441,332274,333963,335665,337284,339009,340623,342178,343684,345210,346680,348152,349557,350987,352276,353709,354977,356273,357512,358693,359907,361081,362242,363389,364441,365554,366579,367602,368639,369609,370576,371599,372601,373512,374437,375347,376263,
66700,0,0,0,6,50,210,599,1325,2403,4026,6151,8809,11880,15418,19278,23411,28008,32884,37911,43093,48298,53803,59115,64491,69913,75447,80882,86207,91509,96838,102022,107264,112408,117464,122176,127077,131817,136451,140999,145373,149685,154077,158272,162297,166313,170206,174039,177762,181301,184760,188273,191717,195057,198300,201480,204565,207695,210700,213598,216444,219181,221965,224635,227192,229734,232221,234739,237068,239411,241736,243993,246152,248276,250350,252322,254357,256294,258158,260063,261820,263551,265323,267040,268664,270291,271908,273487,275033,276583,278081,279506,280823,282184,283546,284817,286151,287433,288698,289880,291054,292257,293413,294522,295628,296699,297740,298799,299785,300722,301733,302682,303660,304592,305511,306404,307312,308203,309056,309905,
66710,0,0,0,4,19,74,210,474,993,1768,2823,4251,5983,8149,10518,13244,16231,19542,22872,26469,30153,33970,37818,41935,46076,50066,54222,58480,62680,66725,70775,75015,79166,83281,87255,91209,95174,99028,102772,106612,110312,113941,117429,120895,124334,127718,131011,134226,137405,140440,143456,146510,149380,152261,154941,157761,160346,162864,165487,168007,170512,172906,175286,177693,179908,182104,184329,186354,188406,190359,192385,194357,196251,198086,199953,201718,203467,205196,206910,208600,210265,211852,213498,215003,216444,217891,219326,220667,222015,223327,224715,226025,227338,228631,229870,231093,232232,233367,234550,235682,236841,237923,238971,239966,240995,242003,243031,243991,244944,245812,246701,247594,248451,249333,250224,251078,251901,252718,253510,
66720,0,0,0,0,1,14,45,127,315,594,1058,1682,2514,3593,4838,6304,7982,9864,11908,14162,16519,18903,21519,24299,26996,29853,32777,35794,38799,41849,44858,47859,50897,54026,56989,59965,62902,65921,68957,71830,74716,77577,80492,83326,86099,88791,91449,94045,96624,99168,101671,104195,106618,108948,111307,113554,115795,117910,120153,122263,124389,126485,128473,130436,132363,134186,136054,137914,139760,141494,143186,144820,146472,148101,149716,151306,152902,154396,155900,157348,158816,160164,161486,162824,164147,165382,166640,167891,169125,170289,171539,172772,173980,175168,176271,177346,178436,179518,180561,181536,182526,183562,184523,185485,186443,187353,188269,189148,189993,190781,191571,192407,193234,194100,194850,195636,196403,197153,197896,
66730,0,0,0,0,1,2,5,16,46,111,223,439,738,1103,1595,2218,2949,3794,4766,5842,6964,8284,9681,11142,12761,14378,16120,17904,19737,21650,23536,25523,27534,29544,31632,33697,35728,37740,39804,41796,43827,45849,47892,49889,51919,53868,55774,57720,59668,61504,63391,65222,67028,68843,70607,72312,74072,75755,77396,79117,80723,82322,83975,85544,87109,88614,90133,91586,93088,94586,95989,97408,98768,100109,101408,102725,103990,105244,106460,107651,108920,110087,111271,112477,113536,114614,115746,116792,117796,118806,119815,120849,121843,122851,123794,124683,125642,126534,127476,128332,129183,129975,130803,131622,132438,133249,134009,134770,135503,136260,136921,137597,138310,139010,139663,140324,140948,141599,142255,
66740,0,0,0,0,0,0,1,1,5,12,32,72,118,196,303,448,653,894,1206,1548,1979,2454,2986,3549,4119,4802,5558,6351,7129,7948,8887,9841,10825,11857,12937,13997,15073,16169,17309,18445,19628,20776,21945,23189,24432,25581,26740,27886,29064,30262,31433,32635,33800,34955,36160,37277,38477,39642,40753,41865,43038,44051,45133,46184,47245,48304,49371,50438,51453,52458,53485,54424,55407,56367,57314,58308,59241,60087,60976,61835,62670,63556,64423,65283,66099,66871,67654,68458,69261,70079,70875,71546,72292,73026,73774,74466,75192,75870,76522,77154,77840,78459,79117,79786,80431,81034,81605,82208,82760,83329,83917,84477,84998,85576,86119,86648,87180,87710,88242,
66751733,61834,194699,341294,475355,591955,691268,776031,848933,911902,966685,1014744,1057263,1095146,1128993,1159367,1187112,1212148,1235215,1256244,1275284,1293123,1309419,1324534,1338684,1351902,1364226,1375681,1386548,1396652,1406102,1415095,1423632,1431633,1439250,1446258,1453073,1459587,1465748,1471535,1477091,1482452,1487559,1492476,1497166,1501675,1505817,1509825,1513721,1517461,1521030,1524599,1527932,1531022,1534099,1537099,1539955,1542788,1545486,1548161,1550673,1553071,1555402,1557669,1559883,1561967,1564002,1565988,1567877,1569730,1571588,1573326,1575048,1576696,1578273,1579837,1581234,1582657,1584094,1585532,1586905,1588227,1589480,1590709,1591913,1593028,1594224,1595349,1596430,1597576,1598587,1599629,1600588,1601593,1602557,1603455,1604346,1605223,1606099,1606923,1607704,1608469,1609224,1609967,1610743,1611451,1612109,1612765,1613447,1614057,1614674,1615322,1615948,1616548,1617105,1617731,1618274,1618805,1619366,1619966,
6676142,16704,79534,170451,267804,360990,445703,522165,590255,650478,704251,752451,795736,834912,870445,902391,931605,958324,982806,1005835,1026830,1046226,1064297,1081232,1096910,1111673,1125471,1138290,1150364,1161848,1172658,1182932,1192701,1201828,1210397,1218636,1226527,1234117,1241148,1247874,1254247,1260410,1266343,1271971,1277418,1282526,1287273,1292035,1296632,1301090,1305399,1309412,1313288,1317048,1320765,1324176,1327527,1330769,1333933,1337038,1339907,1342716,1345451,1348060,1350585,1353136,1355569,1357934,1360167,1362413,1364586,1366659,1368659,1370624,1372457,1374333,1376054,1377772,1379469,1381113,1382670,1384167,1385676,1387105,1388574,1390045,1391381,1392740,1394037,1395276,1396426,1397615,1398833,1399973,1401091,1402183,1403236,1404297,1405291,1406267,1407240,1408165,1409107,1409995,1410842,1411705,1412534,1413433,1414246,1415041,1415803,1416614,1417310,1418023,1418691,1419347,1420059,1420733,1421360,1422008,
667723,6684,41819,103932,178118,254219,327484,395877,457992,514069,565873,612262,654399,692494,727753,759832,789381,816322,841122,864187,885808,905812,924191,941564,957544,972893,987117,1000663,1013335,1025162,1036638,1047271,1057512,1067147,1076304,1085009,1093230,1101137,1108743,1116077,1122767,1129295,1135672,1141810,1147448,1152979,1158276,1163339,1168182,1172759,1177204,1181452,1185636,1189714,1193629,1197414,1201079,1204683,1208088,1211266,1214468,1217612,1220544,1223407,1226173,1228884,1231487,1234040,1236522,1238736,1240999,1243171,1245370,1247423,1249506,1251490,1253449,1255330,1257164,1258971,1260721,1262387,1264006,1265580,1267142,1268666,1270030,1271466,1272884,1274267,1275611,1276901,1278237,1279452,1280694,1281856,1282989,1284140,1285232,1286272,1287345,1288360,1289391,1290375,1291307,1292209,1293110,1294032,1294909,1295762,1296550,1297332,1298174,1298894,1299672,1300426,1301126,1301814,1302583,1303272,
66782,2002,18222,54400,104565,161118,219149,275264,328207,378111,424243,466570,505888,542282,575851,606722,635309,662030,686623,709609,731091,751189,770084,787813,804491,820238,834950,848552,861769,874307,885966,896902,907535,917709,927289,936452,945165,953327,961246,968777,975879,982742,989414,995766,1001843,1007720,1013345,1018599,1023733,1028743,1033603,1038252,1042735,1047035,1051323,1055363,1059295,1063149,1066749,1070159,1073546,1076798,1079917,1082928,1085800,1088695,1091472,1094139,1096664,1099184,1101570,1103976,1106314,1108583,1110804,1112898,1114971,1116943,1118924,1120869,1122734,1124544,1126302,1127983,1129621,1131225,1132759,1134303,1135826,1137314,1138702,1140096,1141521,1142865,1144152,1145443,1146727,1148008,1149221,1150379,1151447,1152602,1153632,1154715,1155756,1156758,1157723,1158709,1159663,1160571,1161478,1162355,1163233,1164079,1164882,1165725,1166544,1167338,1168096,1168847,
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66800,143,2775,13068,31981,58737,90150,124066,158926,193591,227486,260054,291388,320926,349149,375725,400727,424191,446531,467541,487060,505883,523561,540288,556147,571111,585462,599002,612000,624192,635901,647176,657894,668026,677657,686816,695585,704072,712168,719728,727066,734287,741138,747725,754263,760427,766291,772113,777639,782889,787917,792865,797581,802143,806522,810807,815020,818943,822811,826617,830307,833969,837344,840648,843886,847016,849993,852929,855787,858467,861228,863794,866288,868690,871102,873414,875723,877966,880157,882284,884405,886306,888256,890085,891889,893761,895448,897148,898778,900406,901996,903588,905082,906526,907892,909240,910611,911940,913321,914588,915832,917013,918238,919381,920493,921610,922695,923800,924829,925891,926908,927889,928898,929832,930769,931623,932537,933384,934285,935130,
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67510,21,839,5656,17363,36686,62009,90936,122380,154892,187354,218944,249327,278637,306748,333218,358510,382513,405053,426058,445950,464408,481923,498505,514517,529555,543451,557024,569784,581550,592968,603695,613933,623676,632998,641875,650318,658277,665798,673024,680137,686735,693034,698932,704798,710315,715667,720705,725607,730203,734748,739143,743246,747207,751114,754932,758470,761914,765221,768423,771552,774547,777441,780119,782876,785558,788050,790554,792860,795058,797193,799342,801401,803385,805371,807246,809063,810865,812569,814231,815885,817406,818887,820327,821745,823118,824474,825757,827012,828235,829412,830495,831622,832732,833765,834831,835874,836860,837845,838737,839612,840527,841380,842228,843064,843867,844602,845348,846136,846875,847574,848231,848875,849524,850179,850786,851381,851949,852480,853068,
67520,4,357,2762,9682,22244,39772,61687,86542,112362,139313,166302,192680,218207,243095,266668,289455,311274,331879,351295,370081,387713,404331,420143,435005,449238,462545,475302,487502,499178,509824,520301,530139,539670,548759,557290,565620,573412,580977,588183,594894,601468,607676,613559,619240,624745,630041,635218,640155,644900,649410,653689,657890,661959,665794,669464,673163,676680,679960,683243,686335,689338,692226,694969,697608,700109,702660,705146,707508,709855,712006,714134,716296,718296,720240,722091,723857,725647,727361,728969,730620,732152,733671,735164,736599,738043,739400,740680,741919,743221,744450,745653,746862,747992,749083,750103,751187,752176,753138,754097,755022,755988,756850,757691,758514,759344,760146,760901,761674,762399,763087,763810,764488,765128,765766,766372,766990,767595,768202,768766,
67530,0,112,1236,4988,12807,24506,39810,57876,77885,99029,120882,142638,164305,185445,205992,225834,244841,263437,280816,297671,314039,329106,343781,357781,371132,383570,395574,406951,417717,427959,438048,447582,456691,465319,473526,481416,488886,496160,503183,509648,516107,522179,527943,533577,539066,544228,549183,554023,558663,563131,567351,571457,575368,579130,582802,586378,589711,593041,596260,599404,602404,605292,608134,610805,613370,615817,618303,620637,622868,625079,627300,629383,631330,633288,635205,637087,638847,640553,642287,643896,645478,647046,648524,649981,651289,652702,654027,655351,656579,657828,658983,660072,661237,662310,663479,664493,665503,666525,667486,668421,669327,670244,671158,672009,672886,673671,674476,675212,675934,676651,677358,678057,678745,679351,679966,680583,681251,681820,682365,
67540,0,46,463,2294,6518,13720,23526,35810,49968,65799,82321,99509,116826,133989,151064,167827,184426,200125,215533,230307,244456,258184,271570,284021,296122,307619,318623,329079,339071,348695,357846,366792,375108,383313,391161,398553,405754,412607,419217,425414,431393,437200,442775,448277,453434,458430,463283,467839,472320,476672,480782,484761,488554,492256,495918,499378,502762,506008,509105,512125,515001,517728,520477,523129,525718,528261,530731,533096,535341,537536,539624,541693,543709,545583,547428,549261,551021,552758,554407,556081,557679,559242,560774,562207,563612,565003,566295,567627,568888,570088,571290,572439,573565,574615,575752,576773,577816,578770,579684,580583,581493,582365,583204,584004,584827,585587,586357,587128,587860,588592,589288,589997,590662,591333,591976,592602,593242,593851,594472,
67550,0,4,143,890,2847,6490,12196,19694,29191,39961,51646,64017,76920,90275,103736,117258,130386,143357,156157,168503,180411,191959,203454,214443,224869,235095,244816,254372,263594,272174,280562,288592,296255,303645,310794,317679,324211,330658,336696,342558,348218,353587,358910,363959,368835,373489,378179,382591,386906,390917,394867,398638,402264,405920,409354,412684,416033,419192,422158,425134,428011,430762,433469,435954,438446,440876,443150,445355,447556,449713,451834,453848,455765,457732,459614,461367,463150,464837,466462,468117,469671,471175,472579,473969,475347,476732,478047,479296,480476,481603,482753,483893,484963,485979,487096,488130,489165,490118,491052,492007,492844,493740,494576,495423,496240,497000,497773,498539,499294,500022,500740,501432,502075,502741,503362,504003,504608,505225,505788,
67560,0,3,58,413,1541,3837,7672,13113,20066,28243,37336,47380,57863,68699,79780,91125,102457,113622,124741,135652,146343,156760,166858,176661,186187,195232,204220,212754,221115,229056,236832,244332,251704,258668,265319,271775,277909,283781,289560,295163,300528,305760,310712,315496,320168,324709,328966,333131,337257,341202,344931,348568,352053,355449,358797,361959,364989,367908,370865,373676,376372,379045,381602,384093,386413,388766,391033,393284,395358,397455,399435,401427,403338,405234,406991,408760,410438,412095,413684,415273,416761,418192,419604,420938,422301,423689,425000,426255,427428,428659,429808,430947,432003,433039,433990,435050,436051,436998,437926,438812,439694,440570,441383,442144,443001,443790,444599,445327,446100,446758,447481,448160,448809,449462,450072,450713,451276,451845,452440,
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67980,0,0,0,9,40,131,340,725,1388,2346,3567,5158,7047,9157,11559,14136,16966,19921,23011,26138,29402,32721,36041,39455,42878,46246,49651,53027,56336,59565,62751,66045,69191,72392,75501,78341,81296,84230,87056,89806,92465,95101,97679,100162,102546,104937,107282,109553,111817,114012,116021,118144,120089,122053,123929,125769,127552,129303,131034,132731,134377,135994,137514,138944,140432,141888,143296,144699,146007,147378,148733,149956,151209,152428,153534,154672,155797,156872,157973,158960,159923,160892,161829,162807,163716,164565,165506,166369,167177,168014,168839,169607,170355,171103,171823,172491,173138,173850,174564,175246,175872,176483,177097,177668,178245,178842,179385,179959,180502,181006,181476,181955,182475,182916,183353,183811,184218,184687,185102,
67990,0,0,0,0,3,20,59,166,343,686,1167,1851,2692,3763,4945,6239,7778,9354,11139,13063,15032,17073,19146,21344,23560,25808,28048,30415,32720,35078,37469,39750,42039,44305,46585,48888,51061,53185,55267,57340,59356,61355,63288,65245,67239,69111,71041,72800,74445,76113,77727,79412,81023,82683,84167,85676,87252,88714,90157,91575,92873,94191,95456,96758,98002,99158,100337,101493,102627,103697,104832,105775,106817,107812,108839,109831,110738,111683,112607,113485,114325,115162,116006,116789,117571,118337,119066,119835,120559,121255,121985,122684,123376,124041,124680,125254,125864,126425,126969,127532,128081,128586,129148,129682,130180,130675,131187,131704,132187,132608,133053,133467,133907,134354,134737,135159,135556,135957,136303,
68000,0,0,0,0,0,0,2,16,57,121,237,411,642,933,1353,1827,2422,3063,3805,4641,5491,6445,7476,8548,9690,10840,12015,13244,14540,15797,17127,18399,19721,21100,22447,23782,25067,26406,27782,29173,30486,31766,33058,34304,35571,36823,38159,39361,40581,41791,42922,44008,45127,46294,47365,48397,49449,50442,51485,52486,53510,54492,55433,56380,57293,58162,59061,59931,60777,61616,62455,63298,64070,64861,65639,66379,67127,67828,68554,69220,69883,70551,71182,71835,72464,73103,73675,74264,74832,75435,76015,76584,77131,77625,78157,78659,79117,79591,80063,80484,80916,81362,81801,82245,82629,83055,83439,83847,84220,84609,84967,85330,85645,86000,86332,86640,86982,87302,87610,
68013508,80342,224047,369692,497617,604999,695434,771773,836474,892183,940417,982615,1019436,1052184,1081171,1107159,1130590,1151969,1171417,1189357,1205543,1220526,1234238,1247056,1258693,1269716,1279875,1289434,1298249,1306606,1314385,1321741,1328669,1335199,1341368,1347177,1352686,1357982,1362881,1367546,1372027,1376318,1380362,1384262,1388013,1391591,1394956,1398111,1401204,1404136,1406992,1409666,1412356,1414850,1417297,1419574,1421849,1423935,1426032,1427943,1429784,1431565,1433337,1434969,1436646,1438197,1439759,1441208,1442571,1443997,1445294,1446650,1447867,1449142,1450298,1451392,1452426,1453483,1454540,1455484,1456439,1457369,1458259,1459124,1459913,1460763,1461568,1462338,1463079,1463785,1464526,1465207,1465824,1466512,1467131,1467770,1468386,1468947,1469519,1470056,1470562,1471113,1471628,1472113,1472580,1473074,1473530,1473932,1474339,1474762,1475179,1475589,1475969,1476340,1476716,1477085,1477427,1477741,1478099,1478407,
6802440,26391,102852,200635,297949,388322,468213,538260,599493,653238,701006,743336,781104,814967,845286,872735,897443,920108,941035,960162,977583,993799,1008514,1022349,1035271,1047248,1058559,1068991,1078784,1087908,1096708,1104858,1112596,1119902,1126893,1133477,1139706,1145635,1151168,1156452,1161586,1166458,1171087,1175537,1179785,1183784,1187631,1191289,1194780,1198139,1201258,1204400,1207345,1210112,1212914,1215474,1217988,1220403,1222816,1225025,1227205,1229231,1231214,1233093,1234994,1236822,1238586,1240300,1241901,1243468,1245017,1246504,1247907,1249295,1250663,1251958,1253196,1254443,1255572,1256702,1257760,1258851,1259870,1260894,1261915,1262890,1263824,1264721,1265597,1266492,1267256,1268070,1268881,1269687,1270371,1271109,1271774,1272441,1273138,1273774,1274403,1275032,1275611,1276205,1276767,1277314,1277855,1278358,1278855,1279331,1279809,1280301,1280771,1281200,1281666,1282113,1282544,1282949,1283352,1283735,
680384,12175,59821,131740,210651,286929,357545,421272,478413,529200,574840,616012,653009,686500,716576,743752,768912,791914,812971,832257,850163,866614,881900,896226,909458,921934,933454,944277,954388,964155,973217,981636,989659,997431,1004637,1011419,1018062,1024253,1030048,1035834,1041102,1045975,1050788,1055457,1059879,1064073,1068205,1072080,1075879,1079416,1082759,1086020,1089182,1092204,1095138,1097907,1100552,1103109,1105601,1108027,1110383,1112663,1114801,1116901,1118908,1120847,1122588,1124434,1126185,1127877,1129508,1131134,1132631,1134169,1135560,1136968,1138357,1139656,1140915,1142107,1143283,1144393,1145473,1146582,1147684,1148708,1149675,1150624,1151551,1152403,1153322,1154153,1154954,1155770,1156582,1157341,1158140,1158862,1159601,1160295,1160946,1161620,1162241,1162852,1163466,1164040,1164577,1165176,1165750,1166280,1166777,1167298,1167803,1168280,1168753,1169212,1169702,1170142,1170557,1171026,
68047,4468,29580,76050,133142,193109,251747,306822,357082,403459,445356,483712,518542,550398,579595,606282,630875,653802,674658,694130,712231,728719,744171,758553,771938,784689,796636,807622,817988,827846,837262,846019,854280,862080,869634,876725,883286,889753,895771,901625,907284,912601,917498,922297,926981,931420,935606,939766,943630,947446,951057,954528,957849,961076,964126,967076,969936,972567,975156,977639,980104,982429,984646,986785,988942,990966,992933,994817,996603,998435,1000192,1001820,1003336,1004865,1006385,1007826,1009288,1010683,1012026,1013307,1014558,1015818,1016957,1018076,1019205,1020323,1021375,1022417,1023411,1024374,1025332,1026221,1027157,1028022,1028851,1029711,1030525,1031310,1032079,1032767,1033527,1034236,1034923,1035578,1036244,1036863,1037490,1038122,1038705,1039277,1039790,1040369,1040876,1041399,1041902,1042374,1042851,1043331,1043783,1044220,
68051,1220,11790,37012,73319,115265,158951,202265,243737,282761,319323,353530,384931,414142,440729,466039,489228,510963,530715,549619,566890,583043,598300,612430,625734,638176,650014,661103,671584,681539,690891,699683,708011,715994,723551,730707,737560,743990,750166,756195,761906,767290,772400,777279,782058,786677,791044,795227,799253,803046,806731,810299,813722,817097,820302,823391,826339,829159,831861,834453,836994,839383,841719,843967,846160,848268,850331,852321,854244,856144,857940,859739,861390,863065,864676,866254,867776,869250,870670,872132,873454,874752,876018,877200,878318,879463,880621,881689,882743,883801,884823,885810,886760,887741,888666,889520,890351,891155,891995,892741,893526,894271,895007,895727,896419,897063,897710,898291,898914,899460,900027,900579,901140,901660,902203,902706,903218,903752,904214,904665,
68061,482,6462,23020,49824,82773,118770,155322,191517,226517,259640,290430,319503,346528,371541,395017,416991,437540,456874,474679,491489,507046,521776,535720,548883,561195,572880,583814,594093,603959,613121,622165,630461,638461,646079,653329,660048,666554,672718,678695,684495,689882,695072,700077,704951,709398,713755,717995,722082,726069,729815,733392,736799,740175,743467,746520,749580,752540,755316,758070,760628,763190,765618,767917,770165,772342,774469,776456,778449,780394,782288,784053,785725,787425,789009,790594,792160,793602,795046,796443,797765,799065,800349,801582,802796,803986,805142,806231,807261,808292,809297,810332,811292,812206,813169,814020,814880,815697,816529,817349,818101,818842,819628,820308,820995,821675,822399,823039,823676,824271,824823,825387,825970,826505,827070,827596,828072,828553,829113,829557,
68070,172,3295,13435,31672,55891,83951,113811,144169,174046,202882,230370,256092,280538,303798,325811,346071,365413,383663,400793,416775,431771,446202,459613,472134,483919,495295,506093,516307,525951,534986,543694,551893,559815,567343,574456,581304,587821,593967,599876,605542,610897,616087,620974,625699,630285,634615,638806,642884,646731,650533,654199,657674,660960,664144,667225,670239,673190,675920,678612,681160,683740,686170,688578,690813,692934,695035,697029,699111,701033,702934,704701,706456,708180,709849,711447,713020,714508,715948,717337,718689,720009,721304,722657,723938,725074,726283,727372,728475,729557,730603,731613,732624,733506,734447,735366,736278,737170,737977,738806,739542,740321,741054,741744,742460,743126,743809,744511,745127,745740,746397,747012,747589,748160,748747,749265,749762,750241,750751,751255,
68080,54,1364,6896,18264,34901,55577,78209,102313,126416,150563,173859,196340,217875,238244,257906,276396,294207,310898,326664,341542,355656,368975,381791,393724,405149,415874,426161,435915,445027,453865,462413,470344,478011,485394,492392,499028,505523,511453,517254,522961,528276,533331,538148,542820,547332,551610,555734,559707,563621,567370,570945,574347,577729,580953,583964,586857,589772,592535,595272,597958,600533,603001,605341,607656,609857,611919,613936,615882,617839,619765,621495,623252,624972,626605,628155,629778,631291,632745,634174,635552,636836,638088,639359,640586,641766,642883,644001,645141,646250,647332,648338,649336,650365,651259,652250,653143,654049,654856,655658,656469,657246,658038,658775,659545,660299,661005,661685,662366,662981,663575,664137,664744,665279,665849,666386,666911,667437,667991,668502,
68090,15,473,2953,9126,19319,32805,49046,66790,85689,104668,123743,142599,160736,178324,195325,211760,227230,241783,255698,269174,282180,294529,305945,317106,327615,337754,347435,356701,365400,373714,381453,388897,396105,403044,409621,416028,422031,427806,433392,438784,443870,448942,453712,458249,462513,466591,470597,474437,478260,481869,485349,488789,492055,495194,498208,501103,503930,506637,509301,511833,514308,516736,519045,521261,523489,525589,527652,529702,531641,533473,535362,537120,538708,540310,541941,543600,545159,546567,547973,549358,550727,552031,553254,554534,555732,556918,558062,559165,560308,561371,562389,563397,564417,565351,566265,567122,567940,568782,569615,570392,571133,571879,572629,573316,573967,574685,575361,576044,576653,577222,577808,578419,578997,579554,580109,580669,581201,581739,582246,
68100,1,251,1586,5475,12577,22596,35233,49280,64554,80421,96613,112704,128383,143730,158553,173244,187448,200899,213666,226203,238119,249543,260407,270814,280812,290319,299504,308045,316267,324266,331896,339081,346098,352651,359045,364994,370840,376375,381715,386954,392067,396996,401660,406086,410313,414369,418303,422146,425838,429477,432907,436132,439342,442422,445339,448226,450935,453549,456177,458683,461113,463534,465815,468019,470213,472231,474277,476280,478104,479983,481741,483544,485287,486936,488467,490036,491572,493061,494500,495861,497244,498512,499788,500990,502213,503337,504467,505488,506548,507585,508593,509549,510501,511469,512414,513321,514217,515022,515858,516672,517480,518194,518922,519618,520306,520980,521652,522296,522935,523501,524108,524712,525274,525875,526443,527020,527537,528092,528572,
68110,2,104,846,3117,7536,14284,23387,33990,45886,58644,71783,85232,98761,112050,124878,137565,149754,161856,173233,184209,195100,205523,215402,224973,234056,242901,251265,259515,267142,274586,281617,288423,294980,301375,307409,313236,318836,324186,329403,334427,339097,343723,348093,352385,356518,360533,364230,367903,371467,374912,378305,381530,384723,387731,390577,393391,396077,398710,401280,403788,406181,408437,410677,412883,415010,417013,418973,420869,422713,424513,426229,427992,429683,431256,432856,434429,435871,437348,438784,440117,441436,442644,443919,445106,446243,447403,448544,449643,450705,451831,452861,453869,454796,455729,456654,457533,458367,459162,459932,460726,461483,462187,462917,463640,464347,465069,465747,466397,467034,467685,468256,468868,469438,470020,470581,471113,471673,472184,472679,
68120,1,33,349,1539,4035,8396,14518,22125,31031,40834,51174,61776,72685,83591,94458,105315,115972,126127,136122,145830,155278,164488,173355,181918,190255,198397,206021,213368,220379,227193,233771,240069,246253,252140,257825,263294,268466,273515,278344,283039,287555,291968,296172,300128,304061,307816,311518,315006,318397,321648,324864,327927,330987,333880,336630,339342,341946,344477,346975,349350,351658,353897,356019,358191,360234,362223,364124,366010,367827,369632,371340,373046,374652,376178,377737,379168,380598,382007,383345,384691,385979,387204,388498,389604,390756,391886,393011,394074,395153,396153,397113,398091,398977,399904,400776,401650,402484,403281,404066,404790,405571,406304,407018,407756,408402,409048,409697,410315,410918,411539,412145,412735,413296,413857,414433,414969,415491,415987,416479,
68130,0,4,108,608,1954,4428,8134,13066,18965,25675,33288,41314,49639,58326,66961,75738,84444,92884,101345,109784,117899,125840,133484,140982,148259,155143,162127,168676,175025,181079,187052,192665,198190,203540,208731,213612,218294,222960,227323,231579,235825,239866,243825,247574,251123,254622,258050,261327,264495,267558,270551,273415,276170,278833,281527,284153,286639,288967,291284,293575,295778,297811,299914,301868,303782,305656,307473,309191,310902,312531,314132,315704,317209,318799,320279,321783,323163,324516,325835,327101,328374,329586,330807,331945,333141,334255,335338,336379,337388,338414,339435,340417,341307,342190,343030,343937,344766,345582,346353,347143,347832,348589,349319,349951,350600,351231,351875,352475,353066,353689,354293,354834,355392,355903,356454,356960,357453,357965,358478,
68140,0,1,31,199,740,1990,3906,6724,10164,14619,19713,25161,31146,37352,43804,50492,57171,63834,70477,77257,83838,90320,96578,102655,108598,114469,120266,125798,131195,136495,141650,146450,151253,155992,160458,164778,168950,173106,177111,181014,184700,188315,191762,195107,198418,201672,204832,207855,210872,213690,216477,219287,221902,224404,226821,229145,231432,233604,235780,237828,239834,241778,243708,245581,247381,249190,250895,252487,254060,255669,257219,258729,260149,261559,262956,264285,265566,266860,268111,269285,270446,271635,272820,273912,275022,276112,277157,278109,279072,280083,281011,281862,282762,283639,284468,285311,286117,286887,287654,288372,289117,289805,290467,291078,291718,292280,292909,293520,294144,294716,295272,295800,296293,296818,297299,297771,298294,298760,299186,
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68410,0,12,249,1672,5684,13541,25650,41290,60126,81467,103992,127639,151377,174940,198020,220649,242186,262972,282745,301904,319920,337048,353062,368580,383104,396968,410073,422415,434252,445207,455650,465599,474778,483755,492283,500331,507973,515129,521851,528460,534737,540758,546385,551805,556847,561729,566403,570877,575118,579179,583084,586784,590287,593732,597107,600273,603353,606220,609012,611716,614265,616713,619075,621403,623660,625799,627770,629824,631692,633577,635269,637027,638666,640223,641705,643175,644635,646031,647396,648683,649914,651103,652255,653371,654408,655527,656570,657523,658485,659348,660170,661070,661823,662600,663410,664153,664846,665530,666210,666866,667538,668179,668782,669341,669923,670462,671026,671526,671988,672453,672897,673355,673801,674225,674665,675072,675457,675845,676236,
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68470,0,0,0,11,64,278,748,1752,3446,5847,8891,12826,17422,22663,28434,34534,40932,47542,54435,61323,68119,75069,82006,88780,95623,102143,108766,115006,121164,127089,132818,138393,143720,148954,154081,159098,163878,168494,172744,177017,181154,184996,188745,192446,196015,199399,202706,205931,208941,211895,214792,217547,220225,222868,225354,227611,229907,232071,234204,236272,238274,240313,242087,243998,245713,247383,249038,250581,252107,253552,254951,256371,257687,259013,260237,261417,262643,263812,264932,265939,266978,267954,268903,269892,270790,271647,272560,273427,274283,275078,275812,276518,277223,277978,278682,279329,279970,280575,281137,281706,282305,282879,283486,283956,284500,284996,285488,285930,286383,286777,287198,287647,288061,288427,288830,289158,289532,289928,290286,
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68490,0,0,0,3,6,59,167,458,974,1853,3090,4758,6920,9464,12361,15659,19187,23039,27031,31196,35584,40106,44631,49127,53649,58180,62680,67113,71506,75791,79987,84096,88138,91976,95726,99430,103126,106622,110056,113356,116664,119743,122786,125847,128751,131491,134100,136680,139276,141812,144127,146486,148732,150817,152789,154871,156823,158706,160512,162274,164030,165680,167250,168740,170311,171780,173147,174521,175855,177140,178471,179691,180845,181957,183032,184111,185123,186139,187085,188003,188938,189860,190753,191590,192385,193216,194002,194742,195486,196270,196960,197688,198356,199028,199614,200241,200805,201383,201911,202433,202960,203466,203960,204401,204875,205331,205755,206204,206624,207049,207433,207805,208170,208528,208891,209265,209604,209952,210243,
68500,0,0,0,0,2,15,68,192,449,883,1564,2576,3828,5405,7285,9367,11832,14412,17295,20228,23393,26691,30082,33511,37004,40521,44013,47447,50930,54441,57809,61210,64418,67793,70966,74070,77137,80027,83018,85805,88641,91279,93908,96493,98948,101354,103681,105880,108140,110261,112345,114343,116240,118166,119981,121674,123428,125035,126717,128297,129767,131260,132648,134058,135360,136708,137977,139238,140470,141614,142745,143835,144869,145936,146903,147881,148823,149745,150638,151478,152343,153176,153950,154736,155456,156162,156954,157670,158326,158965,159587,160174,160760,161331,161933,162492,162989,163533,164046,164551,165029,165488,165918,166409,166841,167254,167665,168058,168450,168833,169193,169547,169864,170217,170522,170835,171120,171429,171739,
68510,0,0,0,0,1,3,21,68,176,396,759,1345,2094,3019,4186,5566,7234,9044,11031,13186,15447,17846,20431,22948,25562,28245,31054,33871,36676,39463,42123,44839,47526,50173,52715,55189,57643,60115,62548,64990,67245,69385,71626,73784,75794,77874,79874,81723,83572,85478,87251,88984,90613,92233,93802,95326,96861,98368,99821,101242,102584,103864,105165,106389,107590,108769,109863,110968,112041,113010,114044,115086,116002,116908,117808,118650,119501,120359,121225,122049,122829,123592,124319,125040,125710,126365,126980,127589,128224,128812,129367,129968,130540,131028,131535,132018,132526,133025,133526,133974,134393,134859,135274,135713,136104,136464,136850,137228,137576,137952,138304,138624,138957,139261,139550,139853,140114,140412,140689,
68520,0,0,0,0,1,1,7,25,74,171,344,603,950,1444,2112,2893,3810,4880,6179,7578,9046,10586,12315,14044,15770,17672,19613,21539,23499,25530,27547,29544,31557,33620,35670,37640,39557,41432,43270,45170,46972,48805,50508,52182,53907,55593,57230,58809,60363,61852,63361,64862,66316,67702,69065,70359,71613,72838,74038,75242,76394,77516,78616,79678,80629,81661,82614,83598,84488,85425,86324,87182,88001,88864,89673,90403,91173,91876,92612,93292,93971,94629,95287,95925,96509,97056,97635,98172,98761,99308,99826,100335,100843,101341,101830,102254,102717,103156,103600,104013,104425,104833,105205,105564,105934,106279,106618,106930,107249,107601,107963,108231,108525,108820,109121,109388,109675,109928,110172,
68530,0,0,0,0,0,1,3,3,12,39,89,168,305,539,819,1214,1684,2231,2883,3629,4445,5379,6356,7382,8440,9675,10925,12209,13464,14824,16152,17504,18895,20264,21672,23068,24463,25843,27224,28581,29904,31324,32645,33910,35221,36530,37735,38960,40158,41365,42527,43633,44743,45743,46769,47773,48776,49754,50703,51623,52550,53450,54301,55139,55968,56732,57532,58356,59106,59811,60511,61197,61874,62466,63096,63713,64337,64998,65588,66146,66687,67226,67786,68351,68865,69367,69834,70311,70767,71237,71662,72072,72481,72904,73305,73656,74012,74344,74729,75085,75419,75754,76091,76402,76683,76967,77256,77563,77843,78107,78351,78623,78883,79125,79359,79592,79785,79989,80237,
68540,0,0,0,0,0,0,0,1,3,11,22,33,72,137,230,344,473,668,929,1198,1551,1939,2368,2835,3361,3904,4490,5132,5784,6489,7204,7892,8659,9436,10220,11064,11835,12698,13498,14293,15104,15953,16777,17567,18440,19232,20046,20840,21611,22404,23191,23961,24746,25478,26182,26933,27637,28358,29032,29701,30371,30994,31635,32225,32840,33441,33990,34589,35192,35762,36284,36809,37303,37789,38273,38803,39285,39691,40123,40553,40978,41398,41768,42179,42543,42924,43278,43654,44000,44350,44693,45029,45379,45705,46016,46337,46599,46903,47182,47440,47722,47979,48234,48476,48735,48971,49208,49442,49665,49911,50107,50317,50537,50725,50931,51114,51287,51457,51648,
685516,7568,56910,149544,260080,371370,475430,569016,651519,724159,787759,843825,892992,936528,975408,1009837,1040703,1068561,1093811,1116557,1137155,1156181,1173646,1189573,1204018,1217409,1229746,1241208,1251699,1261551,1270557,1279053,1286951,1294457,1301446,1308020,1314212,1319948,1325409,1330460,1335393,1339988,1344393,1348513,1352402,1356006,1359549,1362839,1366058,1369093,1371909,1374576,1377120,1379597,1381904,1384100,1386131,1388210,1390040,1391843,1393610,1395331,1396976,1398592,1400134,1401584,1402954,1404279,1405675,1406897,1408195,1409285,1410386,1411414,1412477,1413403,1414331,1415234,1416153,1417016,1417827,1418634,1419358,1420044,1420765,1421444,1422111,1422742,1423339,1423945,1424583,1425124,1425702,1426220,1426783,1427300,1427789,1428259,1428709,1429179,1429592,1430005,1430402,1430744,1431112,1431488,1431829,1432169,1432473,1432788,1433087,1433375,1433666,1433953,1434219,1434467,1434713,1434966,1435215,1435438,
68560,980,13951,50993,108069,176180,246875,316376,381509,441751,496813,546543,592046,632942,670147,703675,734061,762092,787592,811029,832521,852313,870626,887319,902837,917094,930416,942863,954510,965239,975376,984934,993675,1002040,1009802,1017173,1023974,1030483,1036560,1042441,1047892,1053137,1058112,1062802,1067280,1071444,1075537,1079443,1083101,1086445,1089801,1092869,1095903,1098748,1101468,1104029,1106555,1108877,1111182,1113406,1115439,1117447,1119452,1121319,1123070,1124813,1126481,1128087,1129574,1131033,1132479,1133886,1135171,1136350,1137519,1138677,1139794,1140836,1141871,1142869,1143879,1144774,1145683,1146582,1147418,1148237,1149084,1149820,1150566,1151263,1151936,1152596,1153248,1153863,1154478,1155102,1155688,1156218,1156741,1157297,1157805,1158297,1158737,1159214,1159692,1160109,1160511,1160925,1161333,1161751,1162075,1162427,1162796,1163142,1163452,1163740,1164086,1164378,1164675,1164960,
68570,242,5421,24912,60026,106594,159090,212968,266387,317092,364568,409160,449722,487334,521646,553238,582335,608812,633648,656152,677356,696528,714363,731021,746539,760744,774148,786811,798676,809632,819903,829580,838735,847255,855354,863024,870105,876934,883230,889272,894920,900374,905591,910498,915024,919461,923606,927555,931291,934897,938291,941542,944764,947746,950575,953318,955897,958441,960813,963118,965323,967477,969487,971405,973291,975154,976873,978514,980106,981614,983169,984672,986043,987374,988685,989985,991179,992318,993448,994479,995526,996469,997448,998404,999293,1000187,1001030,1001805,1002569,1003360,1004088,1004771,1005449,1006122,1006726,1007334,1007886,1008457,1008975,1009533,1010077,1010595,1011058,1011596,1012078,1012481,1012915,1013361,1013803,1014244,1014651,1015024,1015374,1015708,1016098,1016440,1016776,1017074,1017383,1017669,
68580,47,1760,10415,29396,57832,93020,131864,171728,211810,250753,287544,322397,355000,385637,414133,440639,465231,488044,509333,529050,547378,564425,580478,595509,609503,622454,634670,646174,656788,666873,676468,685532,694070,701957,709454,716516,723348,729796,735909,741771,747214,752395,757357,762052,766517,770926,775065,778916,782597,786105,789469,792701,795761,798704,801536,804369,806906,809449,811803,814117,816355,818482,820460,822413,824230,826017,827817,829466,831039,832598,834062,835548,836896,838185,839427,840710,841927,843132,844219,845251,846309,847245,848261,849158,850117,851002,851857,852679,853473,854242,854969,855649,856373,857041,857690,858364,858957,859581,860152,860705,861229,861772,862304,862822,863267,863793,864252,864679,865140,865534,865938,866327,866688,867057,867416,867755,868103,868434,868747,
68590,3,460,3469,11883,26641,46923,71523,98985,127396,156150,184571,211817,238137,263423,287502,310269,331723,351873,370817,388502,405016,420673,435305,449095,462138,474268,485900,496634,506922,516760,525717,534320,542453,550143,557548,564575,571217,577287,583299,588803,594089,599126,603941,608543,612969,617124,621104,624958,628709,632242,635648,638858,641936,644967,647950,650675,653312,655884,658311,660575,662810,664976,667023,669063,670955,672741,674582,676306,677984,679515,681014,682455,683839,685265,686596,687840,689100,690296,691447,692589,693655,694722,695710,696699,697651,698516,699412,700242,701053,701837,702547,703317,704014,704760,705448,706111,706766,707390,708030,708621,709169,709731,710231,710742,711296,711797,712231,712694,713139,713595,714032,714443,714836,715203,715582,715917,716264,716600,716925,
68600,1,176,1701,6634,16673,31120,49537,70684,93417,117145,140879,164439,187473,209749,231129,251544,270860,288988,306202,322598,337992,352559,366479,379577,391755,403458,414266,424481,434248,443410,452131,460401,468273,475682,482763,489492,495943,502021,507843,513325,518622,523596,528411,533130,537481,541500,545484,549321,552907,556384,559748,562976,566003,568887,571714,574446,576922,579398,581784,584061,586293,588428,590443,592444,594382,596244,597974,599777,601344,602873,604432,605892,607301,608642,609997,611261,612554,613717,614856,615989,617050,618122,619115,620123,621082,621973,622843,623651,624435,625203,626003,626750,627476,628192,628875,629555,630220,630822,631423,632016,632526,633056,633647,634168,634633,635075,635545,635996,636455,636909,637345,637766,638183,638580,638961,639355,639692,640021,640327,
68610,0,53,817,3462,9514,19019,31956,47486,64985,83926,103172,122527,141779,160643,179022,196861,213911,230426,245764,260425,274303,287637,300406,312356,323774,334501,344791,354477,363766,372572,380916,388834,396135,403136,410019,416477,422574,428356,433992,439367,444517,449438,454072,458609,462924,466944,470776,474424,477879,481280,484479,487588,490559,493366,496127,498803,501301,503713,506028,508375,510658,512775,514913,516783,518682,520503,522275,523971,525604,527128,528564,529975,531399,532761,534138,535417,536654,537744,538920,540000,541077,542140,543114,544126,545101,546018,546932,547755,548574,549402,550153,550939,551649,552324,552998,553621,554274,554917,555520,556055,556635,557152,557659,558161,558658,559145,559574,560007,560446,560869,561317,561731,562120,562519,562883,563261,563636,563993,564350,
68620,0,24,311,1730,5027,10788,19398,30089,42635,56697,71738,86931,102355,117708,132868,147721,162154,176013,189532,202322,214771,226477,237879,248651,258871,268608,278003,286942,295479,303573,311133,318425,325369,332061,338475,344487,350295,355932,361281,366329,371227,375875,380286,384505,388473,392315,396017,399455,402889,406237,409346,412357,415265,418036,420745,423328,425938,428243,430591,432802,434927,436989,438960,440943,442718,444439,446154,447867,449399,450894,452433,453898,455332,456615,457913,459191,460428,461633,462712,463822,464884,465914,466910,467881,468768,469657,470522,471383,472161,472900,473729,474509,475247,475958,476632,477261,477918,478498,479128,479659,480206,480741,481210,481727,482245,482712,483198,483685,484086,484504,484903,485279,485667,486045,486424,486812,487151,487462,487782,
68630,0,3,104,697,2297,5559,10601,17598,26128,36063,46598,58088,69861,82058,94148,106311,118086,129586,140934,151652,162293,172452,182316,191715,200746,209379,217595,225424,233121,240397,247365,253956,260465,266579,272418,277919,283327,288276,293093,297881,302471,306876,310993,314849,318572,322205,325613,328964,332128,335178,338188,341006,343709,346307,348877,351379,353634,355909,358055,360141,362231,364205,366133,368009,369763,371459,373137,374688,376178,377624,379059,380469,381792,383117,384375,385631,386781,387906,389005,390069,391132,392084,393033,394015,394968,395839,396629,397468,398233,398994,399733,400456,401160,401848,402516,403124,403737,404332,404920,405515,406116,406620,407108,407625,408091,408575,409073,409536,409979,410410,410869,411278,411638,411994,412359,412736,413098,413421,413742,
68640,0,2,66,357,1396,3521,7017,12029,18294,25758,34214,43304,52897,62761,72910,83197,93166,103218,113031,122629,132126,141181,149834,158483,166620,174593,182247,189501,196500,203230,209547,215641,221670,227378,232850,238007,243144,247844,252324,256744,260959,265156,269088,272877,276489,279944,283358,286595,289683,292606,295363,298105,300757,303314,305716,308100,310349,312542,314684,316806,318785,320645,322527,324277,325935,327620,329309,330898,332360,333778,335164,336510,337826,339037,340231,341377,342453,343594,344616,345640,346676,347691,348681,349570,350501,351371,352283,353101,353907,354620,355381,356073,356804,357427,358063,358724,359346,359962,360520,361071,361626,362140,362671,363176,363682,364161,364612,365071,365499,365923,366352,366745,367109,367486,367846,368201,368546,368907,369213,
68650,0,1,18,176,722,1981,4298,7649,12122,17649,24128,31248,38895,46946,55256,63662,72374,80928,89193,97426,105642,113538,121105,128736,136119,143152,149938,156460,162843,168948,174891,180478,185908,191138,196237,201238,205919,210463,214750,218924,222971,226754,230446,234011,237461,240803,243916,246848,249735,252606,255297,257841,260409,262773,265142,267398,269549,271618,273663,275620,277443,279296,281045,282751,284346,285871,287365,288772,290118,291493,292832,294113,295385,296574,297739,298850,299890,300955,301870,302855,303829,304716,305629,306544,307338,308224,309073,309855,310664,311427,312125,312781,313449,314114,314764,315331,315940,316516,317074,317621,318182,318686,319158,319631,320120,320561,320974,321354,321749,322191,322588,322954,323325,323708,324042,324411,324744,325047,325378,
68660,0,0,5,76,356,990,2348,4432,7541,11462,16136,21377,27183,33451,39977,46707,53655,60683,67749,74697,81423,88195,94792,101305,107579,113675,119720,125512,131006,136508,141767,146827,151746,156449,160968,165388,169561,173657,177624,181346,184994,188393,191829,195152,198295,201359,204229,207132,209849,212471,214987,217422,219683,222003,224111,226183,228265,230214,232073,233876,235709,237405,239043,240627,242146,243580,245028,246537,247938,249164,250419,251625,252810,253910,254969,256005,257018,257940,258919,259880,260802,261712,262551,263425,264245,265041,265842,266538,267241,267920,268596,269273,269942,270559,271156,271759,272307,272919,273443,273968,274527,275040,275533,275992,276467,276923,277353,277756,278193,278591,278984,279353,279728,280058,280381,280737,281077,281409,281724,
68670,0,0,3,30,133,478,1223,2420,4281,6747,9890,13529,17735,22282,27173,32256,37631,43203,48856,54328,59889,65511,70895,76281,81602,86746,91890,96929,101764,106385,110951,115223,119473,123702,127701,131612,135352,139017,142506,145878,149168,152346,155372,158317,161142,163847,166486,169045,171572,174060,176367,178584,180675,182781,184730,186744,188616,190415,192132,193889,195489,197098,198613,200077,201473,202840,204169,205488,206725,207927,209096,210227,211376,212518,213489,214537,215524,216514,217432,218316,219198,220041,220837,221611,222389,223152,223893,224590,225244,225923,226552,227207,227872,228436,229027,229565,230093,230630,231194,231680,232170,232607,233104,233574,234000,234412,234866,235277,235601,235987,236348,236723,237043,237377,237677,238012,238326,238608,238906,
68680,0,0,0,7,44,195,537,1177,2265,3721,5612,8011,10702,13795,17123,20735,24519,28579,32765,37013,41278,45578,49898,54134,58330,62465,66617,70724,74668,78514,82296,85984,89506,93033,96380,99709,102929,106048,109090,111993,114888,117659,120315,122896,125365,127859,130103,132413,134703,136926,138980,140944,142896,144753,146470,148278,149911,151524,153135,154714,156193,157661,159094,160451,161754,163031,164257,165428,166575,167696,168784,169823,170809,171821,172781,173752,174641,175480,176357,177183,177997,178808,179565,180272,180997,181687,182356,183043,183709,184305,184926,185506,186092,186650,187249,187761,188295,188774,189264,189729,190180,190680,191115,191514,191901,192322,192721,193088,193486,193854,194189,194524,194849,195156,195475,195818,196140,196427,196705,
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68710,0,0,0,0,1,6,16,48,109,251,460,760,1221,1763,2414,3238,4165,5268,6383,7674,9075,10513,12035,13578,15120,16727,18371,20021,21725,23399,25053,26722,28415,30135,31849,33392,35016,36590,38152,39753,41316,42754,44200,45612,46971,48389,49768,51084,52355,53642,54866,56034,57208,58307,59394,60460,61499,62553,63589,64623,65592,66487,67417,68294,69145,69980,70854,71628,72352,73119,73889,74630,75339,76009,76669,77328,77981,78619,79209,79805,80334,80834,81330,81831,82348,82861,83308,83770,84274,84751,85193,85616,86026,86411,86838,87206,87573,87938,88292,88636,88925,89230,89539,89879,90191,90506,90766,91043,91343,91635,91893,92133,92398,92656,92879,93107,93329,93548,93776,
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687411,5148,38291,101145,177830,257439,333351,403696,466736,523339,573969,619345,660148,696974,729749,759298,786100,810644,832868,853199,871768,888781,904578,919128,932725,945058,956604,967322,977306,986725,995478,1003736,1011387,1018542,1025255,1031743,1037931,1043539,1048900,1053947,1058757,1063256,1067518,1071586,1075609,1079388,1082882,1086342,1089482,1092537,1095378,1098110,1100784,1103286,1105643,1108054,1110273,1112407,1114426,1116330,1118202,1119940,1121727,1123398,1124974,1126626,1128058,1129464,1130902,1132193,1133457,1134672,1135773,1136918,1138019,1139033,1140040,1141081,1142031,1142940,1143848,1144748,1145552,1146291,1147117,1147897,1148644,1149277,1149999,1150648,1151239,1151826,1152372,1152945,1153518,1154073,1154575,1155022,1155481,1155953,1156399,1156856,1157253,1157685,1158071,1158460,1158850,1159193,1159535,1159890,1160222,1160544,1160871,1161187,1161476,1161760,1162080,1162360,1162647,1162901,
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68760,472,7364,28092,62311,104577,150036,196360,241570,284264,324135,360996,395195,426892,455884,482430,507119,529741,550645,570007,587961,604422,619868,634131,647588,660032,671700,682846,692843,702573,711601,720048,727996,735593,742730,749507,756013,762107,767812,773191,778317,783196,787961,792364,796618,800574,804326,807833,811333,814592,817659,820748,823641,826328,829042,831604,834118,836438,838657,840856,842952,845012,847004,848743,850485,852148,853794,855346,856885,858402,859795,861190,862535,863837,865076,866265,867413,868476,869544,870564,871567,872507,873485,874320,875143,875992,876751,877536,878251,878974,879640,880342,880993,881636,882252,882862,883460,884011,884545,885023,885532,886034,886525,887035,887492,887928,888357,888778,889180,889576,889947,890307,890656,891008,891369,891685,891986,892303,892618,892917,
68770,97,2300,11282,29224,54631,85051,117856,151304,184520,216682,247045,275840,302893,328210,351718,373636,394287,413434,431154,447812,463294,477800,491382,504252,516245,527199,537861,547799,557123,565906,574157,581931,589385,596528,603179,609628,615572,621178,626518,631681,636663,641296,645775,649983,654002,657797,661468,664947,668241,671406,674403,677404,680250,682944,685466,687846,690233,692585,694766,696857,698956,700870,702765,704524,706275,707986,709645,711244,712735,714159,715601,717001,718273,719487,720652,721816,722872,723993,725020,725995,726891,727823,728787,729687,730552,731389,732193,732941,733708,734433,735115,735829,736452,737109,737701,738292,738869,739464,739969,740520,741061,741570,742032,742495,742975,743445,743871,744313,744730,745155,745523,745912,746267,746625,746971,747275,747600,747920,748253,
68780,32,1103,6553,18556,37001,60448,86552,114040,142074,169447,196306,221547,245846,268577,290291,310512,329392,347236,363774,379694,394414,408220,421152,433489,444820,455735,466018,475619,484599,493251,501444,509110,516307,523264,529770,535802,541565,547187,552488,557647,562533,566987,571356,575433,579363,583191,586885,590356,593714,596863,599939,602829,605626,608290,610844,613375,615778,618066,620357,622477,624584,626533,628405,630204,631981,633604,635211,636756,638266,639757,641192,642595,643896,645123,646375,647472,648626,649741,650795,651835,652819,653748,654698,655614,656484,657285,658042,658836,659645,660395,661075,661790,662464,663143,663811,664407,665003,665596,666146,666677,667212,667714,668197,668665,669098,669564,669990,670442,670842,671275,671630,672030,672387,672743,673117,673446,673790,674084,674387,
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68800,4,166,1517,5733,13656,25006,38938,55131,72378,90567,108644,126756,144293,161343,178198,194063,209442,224039,237750,250773,263152,275038,286338,296902,306861,316468,325747,334064,342197,350159,357475,364636,371271,377669,383719,389507,394927,400127,404976,409741,414270,418616,422728,426749,430474,434197,437617,441010,444295,447382,450254,453037,455805,458406,460865,463267,465469,467719,469927,471952,473896,475839,477668,479450,481162,482822,484395,485922,487390,488805,490093,491388,492701,494044,495236,496409,497541,498627,499700,500724,501674,502651,503575,504422,505272,506142,506946,507745,508454,509174,509875,510541,511214,511862,512513,513122,513701,514270,514868,515373,515903,516393,516887,517375,517831,518279,518694,519121,519538,519943,520321,520709,521090,521462,521808,522172,522533,522855,523149,
68810,0,52,612,2626,6973,13778,23026,34147,46743,60335,74425,88805,103155,117058,130787,144050,156891,169269,181178,192941,203867,214109,224182,233812,243020,251620,259910,267784,275260,282447,289217,295697,301906,307833,313401,318784,323813,328725,333441,337910,342083,346149,350165,353830,357471,360853,364180,367310,370377,373170,376010,378634,381123,383647,386062,388423,390762,392883,394925,396885,398759,400678,402466,404194,405878,407484,409017,410477,411931,413287,414607,415979,417293,418566,419715,420805,421938,423053,424063,425065,426049,427002,427926,428749,429602,430423,431225,432039,432755,433464,434164,434813,435452,436072,436691,437292,437908,438497,439072,439609,440112,440589,441064,441548,441994,442445,442909,443334,443761,444174,444543,444932,445305,445658,446030,446350,446701,446999,447304,
68820,0,21,301,1520,4349,9114,15817,24358,34178,44938,56636,68583,80588,92613,104615,116369,127716,138586,149146,159616,169581,179187,188315,196934,205218,213301,220830,228057,235000,241545,247895,254013,259730,265221,270652,275775,280552,285316,289699,294070,298145,302083,305808,309421,312996,316255,319475,322529,325518,328320,331063,333648,336194,338650,340951,343243,345464,347554,349550,351541,353442,355273,356981,358648,360212,361786,363303,364760,366213,367588,368831,370099,371264,372412,373595,374670,375735,376824,377821,378780,379728,380617,381465,382282,383129,383943,384747,385555,386289,386989,387654,388339,389055,389708,390356,390974,391547,392094,392654,393172,393660,394140,394638,395089,395552,396000,396414,396858,397269,397696,398115,398470,398827,399188,399536,399893,400228,400527,400857,
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68960,179,3428,14306,33730,60025,90135,121405,152966,183922,213141,241277,267366,291939,314942,336357,356260,375041,392595,408811,423909,438042,451329,463708,475366,486328,496623,506301,515290,523893,531943,539589,546680,553435,559853,565978,571755,577381,582676,587586,592432,596942,601218,605246,609130,612828,616550,619948,623204,626335,629355,632188,634918,637457,639900,642342,644698,646907,648977,651079,653145,655016,656897,658644,660311,661919,663499,665015,666524,667918,669214,670524,671803,673014,674193,675292,676357,677465,678489,679503,680465,681379,682213,683038,683912,684711,685485,686302,687046,687780,688434,689161,689782,690456,691113,691672,692229,692774,693311,693813,694323,694801,695236,695658,696131,696557,696940,697333,697719,698097,698477,698835,699211,699536,699883,700224,700577,700882,701183,701449,
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69360,27,738,4021,11208,21971,35779,51542,68289,85573,102804,119745,136241,151980,166851,181335,195014,207946,220180,231887,242893,253487,263376,272697,281501,289790,297646,305122,312488,319250,325605,331708,337425,342808,348065,353086,357945,362534,366837,370966,374909,378569,382177,385671,389142,392349,395360,398300,401077,403607,406249,408753,411175,413487,415665,417744,419779,421823,423710,425497,427263,428947,430560,432177,433733,435210,436602,437914,439274,440533,441756,442959,444079,445138,446248,447306,448322,449242,450210,451148,452060,452939,453760,454520,455305,456070,456787,457464,458166,458819,459428,460042,460640,461232,461800,462331,462865,463360,463853,464331,464825,465290,465731,466160,466570,466975,467385,467744,468129,468455,468780,469116,469436,469747,470072,470392,470679,470944,471222,471496,
69370,12,357,2248,6882,14541,24511,36792,50234,64568,78962,93471,107734,121418,134579,147470,159844,171468,182752,193405,203567,213207,222445,231245,239518,247227,254627,261739,268335,274744,280976,286793,292363,297665,302761,307652,312187,316609,320745,324687,328449,332213,335706,339084,342374,345370,348259,351115,353944,356590,358971,361321,363609,365868,367987,370072,372024,373911,375801,377531,379273,380915,382512,384017,385490,386938,388350,389669,390986,392205,393409,394557,395670,396797,397830,398822,399821,400779,401745,402601,403461,404276,405045,405853,406621,407393,408120,408842,409508,410138,410760,411377,412006,412561,413153,413693,414226,414741,415214,415713,416181,416678,417110,417555,417953,418365,418768,419165,419519,419899,420275,420630,420950,421240,421567,421865,422177,422482,422778,423055,
69380,3,146,1107,3928,8821,16003,25040,35436,46702,58374,70477,82339,93904,105328,116230,126921,137279,147249,156741,165792,174463,182788,190806,198335,205537,212427,218953,225297,231400,237134,242565,247738,252690,257384,261953,266237,270345,274312,278019,281613,285212,288465,291573,294562,297532,300362,303082,305639,308109,310498,312761,314993,317187,319285,321241,323184,325066,326799,328471,330174,331845,333355,334891,336343,337802,339191,340613,341924,343112,344298,345392,346446,347469,348507,349502,350413,351365,352257,353104,353927,354766,355564,356384,357130,357818,358516,359249,359879,360540,361160,361717,362301,362877,363475,364022,364583,365093,365572,366038,366529,366944,367378,367799,368231,368603,369002,369354,369747,370119,370472,370761,371092,371383,371697,371995,372302,372563,372838,373085,
69390,1,52,506,1998,4872,9368,15283,22672,30884,39750,48911,58244,67793,77182,86467,95449,104419,112908,121126,129105,136743,144151,151118,157999,164500,170797,176651,182463,187865,193012,197955,202794,207375,211769,215978,219968,223768,227509,231148,234491,237658,240763,243731,246666,249425,252118,254694,257216,259702,261999,264294,266425,268470,270359,272205,274002,275801,277529,279168,280757,282294,283788,285194,286589,287856,289147,290422,291638,292811,293922,295035,296068,297056,298114,299083,300007,300851,301725,302584,303360,304127,304881,305584,306307,307012,307731,308419,309101,309719,310337,310925,311516,312077,312590,313152,313616,314149,314635,315086,315558,315996,316424,316855,317281,317681,318068,318428,318774,319128,319472,319806,320110,320421,320715,320984,321257,321554,321815,322081,
69400,0,14,174,815,2246,4774,8526,13351,18958,25191,31979,39128,46243,53550,60834,68074,75269,82356,89190,95910,102398,108638,114719,120538,126171,131659,136869,141720,146593,151187,155639,159873,163959,167897,171736,175429,178882,182224,185455,188480,191458,194415,197126,199817,202389,204822,207308,209676,211876,214029,216118,218067,219931,221763,223501,225183,226893,228410,229933,231461,232896,234260,235571,236831,238097,239286,240504,241660,242754,243827,244840,245912,246912,247852,248756,249600,250421,251237,252017,252781,253545,254316,255014,255712,256345,256942,257597,258283,258890,259491,260028,260583,261132,261658,262168,262636,263076,263559,263984,264375,264791,265189,265585,265994,266367,266736,267091,267460,267776,268096,268410,268711,269017,269312,269584,269861,270144,270424,270686,
69410,0,3,61,302,989,2322,4412,7328,10951,15310,19986,25047,30270,35719,41299,47058,52732,58295,63813,69401,74653,79683,84649,89434,94409,99142,103781,108152,112339,116323,120233,124017,127672,131112,134488,137716,140906,143902,146820,149585,152342,154866,157270,159719,162005,164225,166372,168479,170519,172522,174390,176223,177968,179691,181291,182919,184447,185906,187298,188732,190062,191364,192631,193850,195010,196136,197226,198349,199366,200384,201360,202289,203228,204113,205001,205821,206573,207341,208111,208843,209544,210191,210875,211536,212138,212787,213350,213950,214480,215063,215632,216155,216686,217164,217653,218066,218532,218985,219401,219787,220196,220615,221001,221388,221740,222098,222437,222746,223085,223380,223633,223907,224182,224465,224750,225018,225288,225522,225761,
69420,0,1,17,93,356,964,1998,3499,5620,8112,11027,14251,17727,21520,25501,29536,33652,37798,42061,46203,50264,54243,58195,62116,66008,69772,73417,77026,80423,83797,87066,90150,93209,96221,99126,101920,104646,107215,109732,112182,114533,116882,119131,121246,123272,125243,127217,129082,130839,132563,134240,135878,137399,138859,140299,141661,142968,144266,145585,146804,147956,149083,150219,151317,152404,153412,154361,155372,156303,157196,158116,158992,159830,160622,161460,162229,162985,163684,164362,165061,165707,166326,166962,167550,168163,168755,169334,169884,170420,170970,171482,171977,172448,172903,173336,173725,174148,174582,174954,175375,175730,176067,176430,176765,177143,177495,177839,178135,178425,178725,179033,179306,179558,179836,180076,180314,180553,180805,181018,
69430,0,0,0,13,87,261,632,1255,2144,3294,4778,6541,8567,10758,13111,15741,18321,21116,23926,26697,29645,32489,35288,38147,40965,43704,46392,49086,51697,54180,56533,58954,61267,63556,65903,68105,70231,72422,74475,76397,78336,80244,82105,83843,85561,87248,88831,90408,91866,93311,94712,96060,97351,98662,99866,101054,102188,103413,104580,105651,106673,107650,108627,109587,110518,111412,112279,113073,113876,114687,115470,116227,116981,117632,118303,118980,119620,120265,120878,121483,122102,122727,123261,123805,124307,124836,125345,125875,126363,126806,127303,127724,128164,128568,128940,129318,129722,130110,130454,130785,131109,131413,131750,132082,132416,132731,133021,133293,133609,133864,134136,134359,134605,134816,135050,135275,135473,135708,135920,
69440,0,0,0,1,10,34,111,266,543,899,1388,2013,2862,3761,4817,6012,7232,8611,10160,11609,13097,14717,16358,18040,19697,21338,22976,24631,26292,27911,29549,31072,32685,34254,35815,37343,38807,40282,41654,43085,44417,45729,46998,48318,49556,50784,51969,53147,54278,55345,56409,57450,58411,59389,60399,61270,62185,63079,63968,64822,65603,66443,67228,67938,68670,69422,70133,70836,71536,72106,72695,73325,73934,74495,75035,75582,76116,76607,77120,77605,78101,78596,79055,79476,79916,80324,80722,81133,81535,81891,82248,82627,82989,83314,83678,83992,84289,84581,84879,85172,85459,85737,85967,86218,86469,86710,86970,87200,87472,87729,87948,88139,88375,88571,88772,88957,89139,89324,89497,
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6948164,13676,59074,122708,188884,252463,310801,363232,409862,451411,488339,521410,550985,578023,602504,624423,644200,662461,679295,694834,709037,722144,734190,745377,756018,765763,774980,783505,791435,798886,805927,812696,818958,824842,830406,835688,840577,845303,849812,854065,858085,861954,865518,868912,872179,875308,878229,881168,883877,886503,889059,891427,893708,895841,897973,899954,901913,903813,905573,907288,908938,910504,912028,913461,914848,916183,917501,918719,919939,921120,922295,923373,924370,925381,926285,927228,928170,928989,929880,930695,931459,932185,932992,933665,934368,935041,935635,936273,936884,937464,938007,938545,939108,939627,940091,940564,941044,941507,941972,942374,942787,943172,943590,943956,944303,944643,945002,945339,945659,945988,946315,946595,946888,947201,947471,947756,948057,948303,948528,948770,
694928,5027,28786,69159,117547,167343,215166,259099,299945,337140,370731,401043,428690,454094,477295,498389,517776,535398,551870,567203,581099,593950,606060,617464,627867,637496,646458,655053,663031,670488,677622,684234,690566,696547,702217,707559,712627,717355,722012,726207,730330,734293,738097,741631,745054,748201,751344,754245,757004,759730,762286,764751,767080,769269,771494,773528,775537,777489,779389,781094,782740,784413,786005,787507,788933,790315,791637,792910,794239,795447,796653,797696,798767,799790,800864,801829,802804,803728,804614,805483,806245,807021,807807,808535,809229,809920,810619,811270,811879,812441,813034,813607,814151,814698,815232,815763,816212,816709,817166,817646,818066,818485,818905,819311,819679,820053,820404,820754,821118,821466,821789,822122,822432,822681,822969,823265,823538,823808,824069,824324,
69508,2701,18525,48764,87183,128798,170206,209883,247071,281329,312950,341853,367878,391661,413875,434106,452729,470132,486193,501036,514825,527500,539085,550157,560479,570196,579285,587767,595769,603310,610472,617041,623398,629295,634934,640217,645167,650070,654691,658966,663188,667058,670850,674375,677728,681086,684218,687101,689812,692563,695134,697733,700200,702465,704697,706754,708740,710740,712542,714347,716066,717729,719355,720875,722386,723733,725069,726372,727662,728939,730118,731249,732307,733330,734413,735396,736358,737337,738190,739123,739994,740804,741624,742356,743028,743786,744520,745158,745818,746484,747084,747650,748235,748809,749345,749820,750300,750756,751243,751673,752132,752539,752922,753275,753673,754010,754366,754762,755110,755470,755836,756153,756468,756766,757073,757334,757639,757920,758182,758414,
69511,1263,10710,31838,61403,94900,129818,164089,196640,227301,255667,282023,306056,328411,349321,368709,386798,403423,418838,433047,446130,458571,469962,480744,490777,500216,509074,517394,525325,532731,539750,546294,552547,558601,564081,569334,574431,579324,583779,588164,592311,596249,599882,603439,606842,610092,613291,616380,619238,621834,624474,626996,629416,631687,633925,636061,638030,639931,641866,643676,645436,647125,648741,650278,651753,653206,654608,655903,657233,658473,659730,660879,661966,663086,664089,665046,666004,666928,667861,668719,669629,670485,671251,672013,672741,673465,674156,674817,675477,676114,676766,677416,677988,678553,679104,679645,680127,680566,681039,681495,681953,682364,682775,683191,683606,683981,684344,684731,685096,685476,685814,686120,686445,686724,686985,687272,687559,687860,688130,688361,
69521,468,5767,19264,40337,65598,93321,121307,148705,175283,200393,224247,246522,267111,286169,303977,320513,335897,350542,363930,376556,388384,399360,409781,419557,428823,437519,445676,453432,460710,467547,474064,480110,485800,491356,496670,501718,506476,510928,515211,519174,523171,526705,530253,533700,536842,539907,542837,545717,548420,551028,553489,555853,558151,560334,562502,564522,566421,568296,570117,571880,573636,575271,576854,578381,579769,581108,582485,583725,584982,586208,587361,588505,589553,590613,591561,592534,593486,594388,595334,596162,596988,597795,598569,599298,600039,600740,601413,602070,602692,603325,603974,604567,605145,605718,606293,606802,607326,607820,608269,608754,609210,609627,609998,610411,610782,611164,611546,611899,612254,612599,612933,613273,613555,613841,614150,614446,614736,615050,615289,
69530,151,2526,10114,23642,41508,62309,84097,106539,128300,149431,169663,188812,206923,224157,240253,255404,269314,282553,295007,306726,317605,327888,337714,347094,355785,363996,371877,379155,386109,392703,398933,404871,410384,415607,420787,425648,430139,434630,438843,442845,446776,450316,453848,457100,460300,463295,466150,468886,471452,473980,476497,478824,481124,483376,485485,487501,489346,491221,493040,494790,496451,498088,499606,501098,502555,503952,505311,506582,507834,509087,510240,511322,512416,513454,514438,515480,516437,517395,518295,519167,519969,520801,521589,522335,523046,523778,524469,525111,525802,526419,527071,527662,528216,528722,529248,529810,530342,530839,531335,531783,532233,532662,533066,533465,533869,534223,534622,535007,535360,535696,536046,536349,536661,536969,537267,537565,537821,538138,538446,
69540,75,1403,6539,16062,29726,46265,64169,83185,102084,120734,138757,156083,172356,187910,202691,216549,229776,242233,254016,265177,275605,285400,294645,303296,311520,319336,326895,334057,340817,347161,353073,358710,364105,369130,374014,378846,383355,387682,391746,395654,399351,402966,406444,409721,412882,415776,418595,421294,423907,426403,428869,431165,433494,435528,437602,439572,441423,443232,444965,446723,448350,449928,451439,452968,454339,455723,457045,458336,459565,460833,462055,463162,464211,465219,466234,467219,468116,469007,469876,470734,471521,472357,473091,473824,474562,475236,475941,476596,477246,477843,478449,479071,479618,480200,480713,481185,481674,482201,482636,483082,483548,483988,484417,484800,485204,485614,485993,486372,486715,487043,487372,487730,488051,488356,488681,488983,489290,489565,489837,
69550,26,671,3721,10357,20368,32915,47346,62683,78596,94490,110207,125098,139738,153682,166940,179617,191694,203126,213847,224183,233945,243224,252057,260396,268277,275772,282744,289489,295956,301941,307660,313174,318529,323519,328445,332922,337215,341408,345311,349027,352668,356068,359407,362558,365601,368471,371374,373998,376528,378903,381155,383453,385677,387804,389846,391788,393718,395518,397251,398943,400590,402160,403648,405075,406426,407760,409109,410313,411565,412783,413893,415033,416096,417076,418049,419011,419946,420864,421744,422584,423424,424253,425031,425778,426507,427254,427950,428610,429277,429916,430576,431176,431720,432285,432780,433266,433731,434227,434666,435148,435604,436021,436461,436857,437271,437657,438036,438399,438747,439052,439365,439688,440001,440304,440594,440867,441145,441427,441710,
69560,13,312,1945,6037,12621,21531,32324,44342,57181,70382,83433,96383,108975,120910,132703,143970,154793,165048,174813,184276,193216,201635,209822,217519,224839,231713,238416,244734,250832,256460,261863,267085,272015,276737,281228,285490,289694,293527,297369,300932,304359,307713,310816,313845,316781,319604,322342,324925,327408,329735,331996,334151,336272,338258,340293,342208,344052,345725,347455,349067,350680,352211,353763,355177,356556,357837,359137,360400,361595,362727,363862,364946,366007,367017,367981,368904,369782,370646,371562,372398,373283,374066,374803,375542,376258,376984,377618,378314,378957,379539,380157,380733,381291,381782,382289,382802,383289,383746,384220,384702,385114,385531,385911,386300,386688,387063,387412,387763,388139,388491,388812,389107,389433,389706,390044,390346,390604,390869,391142,
69570,3,121,869,3111,7168,13151,20704,29565,39360,49451,59845,70471,80637,90789,100695,110315,119497,128506,137049,145451,153463,160974,168115,175086,181601,188024,194016,199864,205469,210823,215851,220663,225252,229588,233761,237739,241572,245356,248747,252037,255274,258429,261431,264369,267161,269595,272085,274522,276868,279115,281324,283511,285616,287558,289481,291288,293032,294706,296391,297984,299520,301012,302438,303798,305186,306436,307678,308892,310092,311203,312296,313278,314342,315297,316235,317147,318017,318820,319633,320435,321254,322008,322764,323467,324191,324869,325558,326217,326855,327439,328010,328582,329144,329629,330160,330661,331144,331615,332073,332524,332963,333411,333803,334167,334562,334941,335284,335594,335919,336235,336567,336901,337231,337565,337841,338119,338386,338647,338900,
69580,0,50,361,1378,3530,6978,11661,17526,24067,31282,39007,46931,55024,63066,70937,78712,86213,93527,100714,107690,114480,121096,127350,133290,139178,144626,150040,155181,160035,164831,169388,173637,177736,181745,185594,189208,192720,196172,199509,202572,205631,208520,211375,214000,216651,219122,221578,223878,226038,228180,230206,232177,234080,235933,237687,239356,241083,242639,244198,245718,247193,248520,249894,251099,252369,253602,254724,255841,256960,258063,259070,260074,261018,261972,262896,263743,264502,265346,266128,266875,267582,268281,268968,269622,270249,270940,271569,272224,272842,273383,273941,274480,274996,275471,275983,276479,276916,277367,277803,278223,278623,279003,279392,279765,280091,280442,280780,281111,281457,281761,282088,282420,282723,283021,283292,283571,283846,284114,284346,
69590,0,10,129,556,1672,3565,6505,10310,14796,19962,25554,31390,37484,43583,49689,55924,62058,68149,74044,79807,85294,90752,96056,101351,106342,111130,115785,120267,124425,128646,132690,136497,140094,143682,147039,150257,153454,156524,159549,162433,165212,167794,170255,172668,175056,177447,179569,181668,183710,185718,187578,189354,191153,192849,194448,196005,197571,199061,200442,201807,203160,204516,205785,207026,208188,209332,210412,211491,212509,213497,214501,215411,216351,217221,218060,218911,219786,220552,221298,222021,222726,223389,224094,224761,225369,225914,226489,227066,227651,228151,228692,229182,229690,230193,230650,231121,231544,231985,232446,232870,233273,233656,234012,234375,234697,235056,235381,235725,236028,236325,236625,236927,237203,237471,237771,238059,238312,238589,238812,
69600,0,2,28,172,610,1541,3020,4959,7546,10713,14231,18138,22286,26521,30934,35456,40128,44759,49141,53656,58156,62533,66765,70946,75063,79114,82918,86688,90230,93662,97067,100180,103276,106311,109317,112087,114816,117438,119994,122477,124887,127271,129585,131718,133847,135779,137783,139701,141549,143374,145008,146620,148230,149743,151245,152748,154034,155317,156590,157889,159147,160333,161406,162507,163573,164648,165664,166627,167581,168495,169403,170263,171090,171877,172624,173424,174181,174874,175591,176261,176892,177536,178168,178744,179255,179832,180393,180953,181431,181915,182409,182855,183316,183744,184210,184673,185133,185554,186004,186373,186749,187117,187465,187816,188157,188505,188836,189142,189444,189709,190004,190270,190526,190780,191042,191319,191579,191812,192036,
69610,0,0,6,35,139,430,969,1816,3011,4556,6485,8673,11031,13635,16431,19341,22338,25433,28591,31704,34880,37964,41033,44108,47134,50037,52849,55724,58430,61182,63805,66391,68894,71276,73592,75872,78180,80412,82606,84638,86622,88512,90341,92180,93931,95633,97217,98773,100310,101772,103235,104665,106039,107372,108661,109891,111040,112185,113280,114443,115495,116517,117542,118580,119433,120344,121204,122091,122889,123682,124504,125277,126013,126747,127497,128190,128838,129474,130091,130690,131299,131895,132456,132960,133422,133963,134466,134950,135424,135854,136310,136747,137217,137632,138038,138466,138858,139222,139549,139852,140168,140492,140827,141133,141475,141779,142079,142360,142619,142874,143150,143388,143623,143855,144085,144312,144501,144718,144914,
69620,0,0,1,1,23,73,166,382,753,1232,1911,2729,3705,4835,6133,7465,8961,10526,12223,13887,15623,17459,19247,21071,22943,24749,26537,28302,30063,31906,33633,35410,37142,38801,40421,42033,43659,45186,46638,48125,49585,50959,52319,53672,54942,56236,57487,58757,59874,60974,62032,63130,64140,65135,66089,67091,67946,68854,69738,70554,71386,72220,72976,73787,74609,75302,76022,76719,77347,77971,78557,79199,79794,80360,80936,81538,82065,82595,83108,83607,84085,84574,85049,85510,85973,86410,86864,87296,87692,88054,88450,88812,89128,89489,89793,90147,90462,90786,91117,91431,91738,92025,92288,92522,92758,92975,93243,93480,93714,93926,94169,94395,94605,94807,95042,95205,95403,95568,95755,
69630,963,17166,68476,149402,244897,342582,435076,519785,595970,663522,723195,776182,822738,864150,900579,933091,962385,988540,1012247,1033454,1052732,1070035,1085820,1100406,1113796,1125912,1137330,1147507,1156861,1165701,1173869,1181337,1188361,1194836,1200895,1206610,1212000,1216985,1221648,1226013,1230084,1234026,1237655,1241068,1244240,1247269,1250041,1252702,1255263,1257715,1260018,1262200,1264283,1266186,1268039,1269839,1271570,1273185,1274712,1276122,1277493,1278802,1280022,1281221,1282312,1283412,1284472,1285491,1286439,1287358,1288267,1289103,1289885,1290632,1291362,1292088,1292756,1293388,1294028,1294611,1295215,1295769,1296270,1296784,1297291,1297772,1298245,1298683,1299120,1299532,1299912,1300264,1300592,1300947,1301274,1301614,1301912,1302194,1302469,1302742,1303018,1303295,1303556,1303795,1304040,1304257,1304497,1304691,1304898,1305093,1305262,1305461,1305623,1305775,1305946,1306111,1306255,1306410,1306553,
69640,85,3225,18827,52055,99822,156672,216767,276050,332930,386080,435519,480314,521392,558518,592118,622841,650692,675917,698868,719753,739164,756843,773070,787824,801768,814444,826159,836895,847018,856062,864902,872925,880460,887659,894216,900513,906225,911720,916801,921630,926153,930510,934582,938389,942002,945501,948829,951807,954702,957458,960053,962472,964790,967008,969097,971106,972985,974771,976533,978142,979670,981203,982627,984035,985389,986689,987835,988987,990092,991088,992124,993110,994105,994973,995878,996698,997500,998218,998954,999664,1000324,1000961,1001592,1002168,1002720,1003254,1003778,1004247,1004741,1005191,1005609,1006029,1006427,1006794,1007185,1007556,1007895,1008245,1008569,1008910,1009250,1009561,1009835,1010107,1010345,1010615,1010838,1011077,1011331,1011543,1011759,1011980,1012202,1012407,1012572,1012747,1012921,1013111,1013267,
69650,23,1057,8275,26707,56454,95290,138770,184072,229736,273741,315314,354416,390564,423787,454404,482450,508319,532007,553902,573865,592346,609339,625130,639843,653111,665618,677155,687859,697916,707203,715942,723993,731519,738612,745417,751697,757609,763177,768322,773204,777815,782137,786215,790167,793835,797268,800616,803684,806666,809596,812275,814767,817163,819381,821589,823628,825670,827592,829369,831171,832823,834365,835904,837298,838668,839998,841226,842443,843532,844623,845668,846681,847607,848526,849384,850216,851046,851833,852589,853282,853994,854728,855395,856032,856665,857233,857767,858335,858858,859372,859854,860303,860755,861175,861596,861975,862348,862682,863021,863358,863688,864006,864312,864621,864913,865190,865480,865717,865969,866195,866439,866684,866935,867118,867331,867535,867717,867899,868088,
69660,2,306,3114,12045,28688,52779,82198,114648,148451,182128,215079,246838,276639,304636,331267,356110,379218,400388,420216,438499,455539,471217,485933,499602,512337,524242,535288,545572,555376,564380,572795,580678,587987,594787,601476,607650,613476,618910,624035,629043,633671,638004,641992,645821,649479,652886,656274,659322,662312,665196,667834,670341,672766,675064,677203,679269,681382,683353,685142,686838,688561,690166,691784,693229,694670,695975,697263,698490,699664,700750,701783,702868,703860,704829,705759,706622,707459,708307,709093,709825,710575,711274,711961,712644,713264,713846,714383,714972,715481,716005,716503,716927,717343,717812,718254,718644,719015,719413,719750,720108,720457,720801,721130,721426,721702,721961,722240,722555,722806,723050,723314,723551,723779,723996,724224,724438,724617,724827,725029,
69670,0,73,939,4507,12426,25323,42804,63546,86659,110679,134877,159005,182580,205241,226726,247128,266249,284347,301293,317145,332131,346158,359276,371641,383210,394145,404077,413559,422640,431018,438863,446281,453368,459870,466011,471877,477318,482550,487563,492267,496681,500887,504842,508594,512216,515618,518814,521852,524799,527514,530207,532733,535159,537475,539639,541735,543753,545686,547457,549161,550806,552347,553948,555399,556812,558223,559450,560630,561801,562894,564042,565084,566096,567052,567995,568900,569772,570601,571411,572172,572908,573617,574250,574911,575510,576117,576732,577318,577922,578433,578926,579423,579923,580374,580823,581262,581645,582024,582401,582771,583126,583460,583765,584055,584376,584638,584882,585164,585418,585679,585926,586159,586402,586641,586875,587070,587250,587454,587631,
69680,0,31,483,2616,7842,16882,29686,45251,63029,82612,102754,122808,142794,162107,180789,198643,215722,231989,247501,262089,275720,288576,300691,312107,322851,332997,342592,351469,359888,367722,375299,382440,389093,395505,401501,407248,412541,417606,422285,426711,430941,434842,438718,442438,445998,449321,452402,455341,458193,460819,463412,465953,468371,470601,472784,474874,476881,478698,480508,482184,483851,485366,486853,488335,489715,491029,492284,493480,494660,495799,496905,497884,498861,499789,500690,501555,502385,503171,503940,504665,505410,506090,506758,507425,508069,508709,509289,509859,510398,510922,511366,511837,512298,512743,513158,513552,513944,514342,514696,515080,515421,515773,516086,516369,516680,516921,517214,517477,517761,518003,518255,518506,518733,518949,519163,519383,519581,519786,519969,
69690,0,10,214,1340,4380,10216,18954,30442,44002,59100,75055,91462,108252,124524,140503,156075,171133,185443,199097,212065,224416,236300,247277,257906,267928,277370,286052,294341,302266,309720,316663,323404,329662,335580,341224,346482,351516,356361,360987,365353,369437,373377,377147,380729,384118,387303,390212,393127,395802,398477,400959,403369,405672,407891,409937,411979,413959,415755,417557,419198,420812,422314,423734,425121,426520,427870,429142,430354,431486,432556,433584,434636,435577,436508,437439,438293,439063,439845,440628,441407,442119,442860,443494,444106,444700,445288,445847,446366,446942,447468,447964,448455,448912,449315,449718,450132,450545,450972,451339,451674,451998,452328,452635,452973,453268,453546,453862,454151,454415,454661,454890,455131,455365,455596,455804,455991,456194,456395,456587,
69700,0,2,94,595,2174,5694,11377,19061,28744,39797,52052,64896,78109,91577,104963,117946,130795,143003,154642,165839,176707,187038,196858,206438,215400,223929,231980,239628,246849,253756,260122,266259,272100,277704,282961,287881,292658,297137,301422,305483,309343,313166,316730,320123,323335,326370,329243,331978,334617,337163,339587,341906,344131,346252,348392,350336,352102,353869,355493,357085,358558,360021,361433,362743,363986,365234,366412,367560,368643,369728,370749,371780,372734,373656,374517,375363,376215,377006,377781,378516,379244,379911,380591,381226,381826,382384,382909,383454,383960,384480,384958,385458,385907,386322,386746,387192,387573,387949,388297,388636,388974,389303,389604,389929,390204,390509,390794,391032,391283,391538,391771,392013,392225,392446,392665,392897,393075,393264,393464,
69710,0,0,34,267,1061,2907,6233,11196,17631,25282,34131,43737,53611,63808,74177,84394,94791,104857,114547,124067,133124,142037,150409,158498,166298,173670,180822,187642,194161,200293,206274,211911,217270,222372,227121,231664,235937,239979,244008,247787,251343,254836,258049,261135,264108,267004,269721,272257,274699,276994,279241,281434,283489,285520,287392,289180,290941,292583,294176,295742,297145,298533,299964,301189,302411,303592,304728,305832,306842,307857,308837,309782,310710,311541,312382,313164,313909,314621,315381,316095,316757,317369,318029,318601,319179,319698,320246,320788,321298,321781,322280,322738,323166,323567,324001,324429,324782,325144,325489,325837,326182,326512,326861,327188,327480,327740,327996,328240,328490,328710,328957,329194,329402,329611,329833,330047,330221,330388,330565,
69720,0,0,14,127,638,1813,4122,7659,12420,18365,25140,32797,40943,49546,58343,67177,76124,84923,93570,101936,110031,118140,125667,132981,140011,146668,153103,159241,165039,170667,175977,180988,185965,190527,194916,199177,203203,207093,210784,214301,217702,220885,224052,227036,229842,232550,235160,237695,240145,242469,244577,246598,248595,250466,252222,253959,255560,257136,258585,259941,261364,262712,264087,265387,266621,267710,268843,269925,270944,271960,272924,273855,274717,275536,276307,277100,277836,278568,279278,279947,280561,281212,281863,282470,283057,283618,284199,284689,285165,285638,286098,286567,286985,287389,287779,288175,288517,288874,289252,289606,289910,290205,290457,290800,291108,291378,291603,291857,292107,292349,292581,292805,293029,293241,293431,293623,293803,293998,294154,
69730,0,0,4,65,342,1050,2579,5021,8425,12747,17938,23794,30280,37154,44321,51776,59248,66695,74061,81235,88264,95066,101781,108176,114416,120447,126303,132031,137330,142447,147378,152088,156529,160787,164937,168935,172613,176134,179512,182660,185873,188820,191667,194489,197139,199545,201906,204177,206335,208447,210434,212409,214221,216037,217702,219320,220816,222338,223810,225178,226491,227775,229037,230279,231454,232543,233580,234574,235563,236523,237428,238311,239128,239936,240741,241482,242245,242937,243587,244213,244849,245476,246077,246612,247197,247776,248277,248744,249203,249676,250151,250543,250955,251351,251743,252102,252446,252775,253089,253432,253770,254075,254390,254678,254990,255241,255489,255747,256007,256288,256528,256743,256967,257196,257396,257579,257747,257925,258105,
69740,0,0,3,37,170,587,1514,3090,5337,8435,12281,16611,21637,27087,32661,38388,44395,50374,56526,62663,68504,74526,80316,86031,91439,96713,101747,106606,111336,115991,120512,124670,128775,132775,136652,140086,143445,146685,149845,152813,155711,158463,161066,163532,166035,168325,170601,172713,174752,176767,178615,180452,182187,183867,185518,187106,188542,189959,191333,192661,193942,195133,196268,197376,198462,199541,200561,201501,202403,203268,204212,205031,205845,206591,207373,208066,208706,209396,209989,210563,211156,211724,212250,212834,213327,213816,214323,214798,215264,215690,216118,216490,216861,217221,217586,217965,218304,218658,218999,219290,219616,219884,220155,220426,220692,220937,221202,221427,221640,221884,222127,222333,222531,222732,222898,223101,223297,223477,223642,
69750,0,0,1,13,76,289,787,1737,3163,5130,7766,10845,14454,18445,22638,27106,31908,36708,41651,46670,51556,56385,61151,65881,70454,74955,79256,83519,87681,91645,95420,99027,102637,106024,109314,112552,115643,118490,121317,124065,126639,129188,131517,133877,136106,138215,140245,142263,144112,145892,147648,149303,150892,152406,153836,155277,156678,158001,159243,160459,161678,162815,163813,164842,165841,166783,167655,168495,169333,170209,170974,171724,172448,173170,173905,174598,175254,175899,176496,177080,177650,178214,178760,179266,179782,180233,180670,181142,181551,181943,182338,182755,183170,183538,183872,184201,184517,184824,185134,185439,185757,186027,186276,186528,186778,187020,187269,187485,187704,187901,188095,188312,188522,188713,188900,189051,189222,189391,189564,
69760,0,0,1,5,31,122,357,880,1679,2840,4405,6432,8789,11589,14593,17816,21351,24872,28572,32250,36051,39843,43730,47523,51158,54815,58400,61865,65221,68467,71706,74844,77800,80745,83627,86344,88902,91452,93888,96167,98478,100663,102720,104698,106605,108490,110336,112134,113861,115535,117083,118604,120088,121498,122852,124142,125348,126555,127691,128833,129900,130877,131897,132867,133751,134588,135433,136265,137075,137813,138547,139230,139921,140547,141216,141789,142449,143006,143563,144124,144669,145171,145652,146137,146601,147064,147491,147897,148303,148721,149101,149433,149823,150160,150468,150787,151094,151371,151669,151936,152213,152492,152719,152942,153191,153399,153617,153819,154018,154224,154417,154614,154765,154931,155114,155276,155431,155596,155734,
69770,0,0,0,1,10,38,143,370,814,1485,2482,3795,5421,7161,9219,11564,14103,16800,19670,22530,25528,28521,31400,34389,37371,40312,43288,46123,49034,51716,54369,56947,59396,61855,64272,66631,68908,71111,73264,75185,77171,79098,80956,82805,84567,86193,87723,89302,90748,92166,93585,94889,96116,97347,98570,99719,100880,101950,102945,103927,104895,105801,106672,107552,108352,109158,109950,110717,111451,112125,112766,113408,114020,114600,115190,115719,116220,116772,117286,117792,118276,118716,119161,119626,120017,120410,120817,121190,121556,121932,122256,122600,122923,123251,123553,123799,124119,124399,124654,124921,125165,125383,125612,125850,126069,126281,126487,126681,126875,127072,127265,127457,127615,127772,127923,128089,128236,128390,128539,
69780,0,0,0,0,3,15,56,150,334,709,1203,1903,2821,3886,5216,6768,8468,10273,12248,14265,16418,18557,20768,23017,25241,27461,29595,31850,33978,36108,38277,40293,42316,44298,46198,48127,49893,51676,53384,55051,56685,58286,59783,61275,62683,64056,65422,66736,67974,69207,70431,71589,72717,73824,74892,75845,76807,77718,78599,79428,80291,81120,81890,82673,83397,84084,84738,85389,86051,86670,87247,87867,88406,88929,89490,89987,90493,90988,91416,91881,92288,92685,93094,93482,93895,94279,94660,95023,95367,95709,96034,96310,96605,96912,97182,97421,97694,97947,98192,98423,98633,98846,99053,99266,99456,99638,99839,100018,100205,100371,100551,100707,100868,101025,101188,101356,101480,101607,101739,
69790,0,0,0,0,0,1,14,53,129,274,487,814,1265,1792,2477,3265,4205,5312,6472,7776,9111,10388,11774,13209,14710,16209,17738,19204,20729,22252,23730,25224,26718,28223,29663,31072,32448,33810,35104,36425,37765,39056,40250,41416,42545,43693,44793,45889,46999,47994,48933,49840,50748,51589,52427,53267,54024,54771,55502,56223,56918,57548,58171,58809,59420,60001,60576,61134,61688,62212,62690,63169,63628,64090,64513,64952,65370,65764,66128,66492,66845,67214,67550,67885,68225,68553,68825,69132,69429,69697,69974,70230,70462,70699,70928,71140,71385,71583,71796,71996,72192,72385,72572,72738,72888,73056,73206,73355,73493,73627,73766,73910,74053,74175,74305,74414,74538,74655,74763,
69800,0,0,0,0,0,0,4,7,20,54,110,203,351,561,813,1147,1518,1978,2489,3088,3710,4393,5127,5902,6691,7514,8406,9254,10193,11099,11999,12917,13896,14819,15730,16593,17480,18287,19131,20031,20867,21644,22510,23351,24195,24944,25734,26476,27198,27915,28544,29199,29819,30454,31034,31654,32200,32782,33367,33921,34466,34990,35510,36001,36496,36952,37403,37855,38277,38702,39121,39538,39920,40273,40584,40937,41243,41567,41855,42146,42430,42722,42995,43263,43518,43769,44009,44218,44446,44665,44883,45091,45280,45487,45692,45857,46007,46208,46381,46550,46706,46881,47037,47185,47333,47459,47610,47758,47871,48005,48134,48242,48346,48453,48562,48666,48765,48856,48948,
698142,11774,72421,172031,282858,389081,484180,568492,641231,703666,758522,806387,848091,884601,917020,945701,971565,994208,1015134,1033459,1050149,1065405,1079234,1092048,1103684,1114292,1124169,1133265,1141596,1149359,1156509,1163258,1169419,1175165,1180684,1185657,1190440,1194852,1198990,1202794,1206538,1210016,1213282,1216275,1219252,1222045,1224665,1227131,1229481,1231616,1233704,1235671,1237473,1239259,1240959,1242570,1244091,1245551,1246998,1248369,1249626,1250849,1252025,1253120,1254164,1255157,1256101,1257015,1257883,1258663,1259452,1260218,1260956,1261665,1262329,1262991,1263669,1264305,1264901,1265442,1265952,1266450,1266906,1267404,1267832,1268305,1268717,1269126,1269481,1269870,1270248,1270621,1270938,1271248,1271544,1271829,1272106,1272394,1272647,1272899,1273162,1273400,1273617,1273831,1274031,1274266,1274479,1274686,1274882,1275061,1275240,1275399,1275593,1275768,1275912,1276075,1276218,1276366,1276506,1276633,
69824,2174,22370,69065,132939,202881,272234,337529,397204,451663,500132,543290,582017,616844,647965,675935,701366,724212,745124,763933,781354,797219,811567,824764,836954,848238,858642,868147,877038,885275,893142,900376,907054,913244,919170,924723,929977,934810,939388,943748,947827,951537,955073,958405,961727,964821,967678,970435,973055,975471,977824,980040,982147,984086,985990,987775,989485,991164,992818,994317,995747,997134,998415,999629,1000781,1001958,1003038,1004123,1005114,1006057,1006945,1007826,1008682,1009530,1010323,1011082,1011817,1012487,1013150,1013809,1014443,1015011,1015552,1016070,1016601,1017099,1017579,1018048,1018499,1018910,1019322,1019719,1020100,1020460,1020798,1021148,1021510,1021812,1022113,1022384,1022657,1022913,1023177,1023483,1023731,1023966,1024194,1024419,1024634,1024832,1025026,1025243,1025436,1025597,1025802,1025979,1026158,1026332,1026495,1026642,
69830,672,10176,37660,80822,132400,187130,240393,291498,338353,381333,420517,455988,488270,517837,544649,568775,590892,611030,629404,646314,661668,676066,689293,701423,712743,723164,732838,741719,749938,757675,765022,771881,778235,784351,789982,795223,800195,804885,809191,813358,817284,821086,824715,828044,831193,834096,836880,839543,842103,844535,846887,849021,851053,853057,854933,856756,858504,860142,861733,863224,864591,866006,867327,868550,869785,870944,872035,873080,874056,874992,876002,876896,877713,878568,879342,880082,880768,881465,882138,882742,883341,883928,884485,885056,885588,886072,886562,887070,887526,887974,888383,888772,889144,889533,889873,890196,890550,890839,891163,891473,891748,892020,892282,892553,892811,893060,893269,893484,893693,893919,894129,894356,894549,894723,894898,895084,895247,895396,895560,
69840,171,3819,18131,44160,79113,118549,159562,199897,238754,275376,309239,340761,369672,396216,420761,443097,463694,482445,499948,515929,530788,544539,557147,569057,579798,590069,599724,608623,616881,624636,631961,638830,645276,651393,656971,662319,667220,671805,676254,680348,684330,688048,691577,694952,698070,701025,703920,706661,709269,711646,713913,716113,718233,720208,722120,723931,725631,727282,728850,730383,731853,733264,734673,735964,737189,738305,739410,740481,741511,742498,743402,744308,745191,746066,746875,747601,748323,749040,749703,750366,751015,751566,752121,752700,753242,753757,754216,754691,755151,755618,756038,756458,756853,757223,757564,757948,758321,758637,758958,759241,759561,759842,760108,760402,760651,760917,761164,761405,761634,761853,762050,762251,762483,762679,762863,763038,763227,763404,763560,
69850,37,1275,7435,20887,41590,67165,95421,124917,154484,182991,210341,236378,260767,283789,304747,324548,342802,359785,375698,390365,403828,416467,428461,439457,449847,459590,468495,476933,484888,492407,499370,505767,511974,517827,523225,528340,533214,537772,542183,546372,550302,554023,557635,561015,564253,567240,570136,572848,575427,577921,580206,582415,584543,586518,588374,590169,591920,593504,595054,596647,598100,599511,600905,602190,603387,604571,605757,606865,607936,608901,609879,610819,611676,612551,613366,614160,614861,615561,616245,616929,617642,618209,618813,619401,619955,620469,620988,621479,621921,622376,622836,623280,623716,624147,624560,624969,625322,625662,625998,626315,626599,626871,627159,627429,627676,627948,628199,628427,628641,628868,629097,629293,629500,629708,629914,630107,630282,630446,630617,
69860,12,619,4241,13209,27880,47180,69852,94090,118827,143293,167244,190045,211648,231756,251211,269144,285829,301663,316413,330307,343011,355015,366276,376829,386583,395827,404590,412786,420416,427645,434317,440704,446663,452158,457574,462631,467337,471841,475977,480175,483984,487708,491205,494527,497600,500524,503367,506048,508568,511063,513387,515586,517634,519659,521612,523392,525141,526754,528368,529863,531364,532807,534097,535336,536532,537727,538859,539974,541063,542067,542964,543879,544772,545572,546425,547267,548048,548772,549474,550132,550788,551433,552051,552631,553203,553751,554281,554790,555305,555753,556204,556640,557059,557440,557827,558175,558539,558889,559214,559532,559894,560158,560441,560724,560982,561248,561496,561732,561979,562191,562434,562624,562814,563023,563221,563394,563561,563755,563917,
69870,6,322,2308,7986,17995,32113,49093,67821,87887,108289,128338,147814,166634,184585,201511,217857,232862,247353,260919,273748,285720,296919,307402,317123,326352,335088,343235,350963,358161,365008,371474,377505,383343,388775,393923,398790,403448,407776,411705,415638,419421,422896,426224,429296,432312,435211,437911,440632,443207,445506,447714,449924,452021,453947,455856,457676,459331,460897,462494,464044,465485,466813,468127,469427,470664,471835,472984,474105,475185,476189,477119,478021,478869,479716,480564,481331,482038,482754,483461,484109,484713,485284,485857,486414,486986,487527,488079,488598,489089,489568,490026,490445,490873,491295,491702,492076,492394,492737,493076,493371,493692,493999,494320,494606,494854,495083,495330,495595,495854,496087,496286,496505,496702,496931,497127,497312,497478,497651,497814,
69880,1,98,1003,4187,10467,19889,31959,46293,61801,78065,94442,110676,126316,141340,155983,170034,183450,196285,208273,219599,230313,240511,250261,259160,267866,275795,283526,290740,297359,303718,309789,315537,321070,326186,331030,335722,340121,344264,348212,351932,355473,358822,361968,365085,367983,370698,373354,375799,378254,380614,382870,384926,386919,388843,390654,392416,394033,395602,397162,398615,400054,401471,402767,403996,405135,406308,407447,408476,409554,410480,411367,412267,413093,413902,414736,415450,416226,416954,417610,418294,418968,419602,420209,420784,421314,421860,422359,422804,423295,423766,424206,424648,425063,425473,425849,426191,426555,426891,427217,427550,427867,428140,428425,428699,428953,429182,429458,429688,429937,430147,430381,430601,430803,431013,431205,431372,431549,431727,431891,
69890,1,31,385,1996,5542,11380,19628,29839,41057,53021,65723,78410,91056,103707,116162,128053,139504,150308,160704,170733,180141,189173,197608,205603,213231,220552,227348,233771,240071,245956,251518,256778,261794,266499,270938,275234,279376,283159,286760,290331,293630,296747,299755,302574,305325,307911,310417,312842,315093,317300,319302,321316,323256,325123,326866,328564,330145,331664,333124,334520,335848,337159,338415,339622,340751,341788,342797,343867,344838,345797,346743,347636,348473,349284,350067,350840,351577,352264,352916,353557,354138,354754,355315,355918,356446,356959,357468,357949,358422,358883,359350,359751,360143,360524,360892,361235,361581,361916,362231,362570,362856,363150,363407,363676,363919,364168,364414,364651,364876,365124,365344,365550,365751,365950,366150,366322,366531,366699,366854,
69900,0,17,256,1209,3539,7771,13754,21434,30542,40525,50905,61663,72436,83368,94010,104724,114837,124492,133869,142869,151362,159648,167569,174967,182211,188838,195371,201478,207348,212842,218128,223114,227720,232235,236544,240572,244491,248184,251754,255029,258248,261367,264227,266960,269581,272110,274501,276845,278999,281035,283034,284947,286719,288478,290194,291844,293386,294971,296404,297747,299025,300272,301486,302643,303716,304789,305789,306764,307733,308669,309556,310434,311270,312053,312772,313486,314218,314862,315446,316113,316678,317238,317790,318334,318850,319374,319857,320337,320790,321226,321624,322035,322400,322811,323173,323550,323850,324173,324473,324751,325073,325379,325645,325942,326211,326460,326711,326939,327191,327399,327591,327804,328009,328216,328402,328587,328748,328935,329106,
69910,0,3,126,691,2184,5066,9405,15139,22031,29870,38176,46982,55859,64973,74052,83159,92009,100450,108732,116667,124432,131764,138896,145606,152101,158248,164203,169819,175078,180257,185183,189765,194171,198318,202313,206035,209686,213109,216381,219570,222562,225505,228206,230680,233192,235681,237947,240148,242294,244339,246209,248054,249816,251464,253058,254628,256179,257563,258914,260217,261420,262670,263905,264997,266088,267092,268052,268982,269947,270820,271683,272513,273261,274021,274718,275418,276122,276783,277405,278001,278592,279187,279723,280251,280763,281288,281776,282224,282663,283109,283467,283867,284268,284652,285002,285333,285670,285986,286304,286600,286903,287198,287481,287722,287984,288228,288460,288700,288934,289167,289390,289555,289756,289949,290120,290311,290473,290633,290814,
69920,0,0,52,330,1185,2994,5833,9800,14748,20607,27035,34029,41186,48574,56037,63490,70860,78189,85226,92122,98777,105379,111536,117614,123299,128813,134076,139194,144036,148480,152880,156973,161001,164897,168488,171994,175448,178601,181767,184738,187531,190129,192706,195149,197524,199750,201819,203875,205857,207810,209585,211286,212964,214583,216088,217541,218902,220253,221538,222744,223911,225056,226170,227276,228336,229293,230278,231223,232112,232967,233803,234602,235350,236080,236793,237483,238102,238695,239307,239858,240380,240926,241459,241971,242451,242903,243366,243793,244231,244660,245091,245465,245868,246237,246555,246875,247219,247524,247818,248075,248327,248603,248900,249158,249440,249687,249930,250169,250392,250597,250799,251005,251188,251375,251567,251753,251913,252059,252204,
69930,0,2,22,149,602,1649,3406,6086,9459,13540,18325,23468,28884,34711,40705,46736,52758,58812,64737,70546,76234,81616,86960,92059,97034,101986,106605,111132,115447,119546,123445,127218,130832,134427,137692,140840,143917,146861,149721,152411,154933,157291,159722,161845,163924,166037,168003,169865,171649,173477,175175,176802,178361,179833,181285,182663,184002,185261,186482,187675,188811,189924,190962,191915,192892,193845,194739,195594,196414,197234,198030,198780,199527,200192,200868,201473,202114,202690,203249,203800,204335,204856,205354,205828,206299,206721,207146,207562,207988,208370,208740,209094,209436,209766,210108,210438,210761,211037,211319,211625,211909,212183,212410,212648,212901,213127,213343,213573,213781,213969,214157,214349,214551,214716,214888,215045,215199,215357,215499,
69940,0,0,3,45,240,732,1668,3177,5247,7900,11124,14818,18799,22989,27504,32003,36549,41142,45802,50541,55147,59686,64109,68438,72587,76625,80553,84334,88051,91607,94952,98200,101434,104466,107403,110252,112988,115509,118017,120361,122705,124912,126963,129056,130915,132780,134617,136341,138042,139616,141139,142568,144008,145381,146678,147969,149205,150389,151510,152581,153568,154575,155543,156478,157336,158185,159045,159807,160656,161410,162126,162876,163555,164231,164886,165455,166010,166552,167113,167632,168116,168616,169033,169470,169900,170286,170715,171114,171465,171879,172259,172592,172907,173219,173521,173802,174094,174392,174668,174951,175200,175440,175689,175925,176133,176348,176569,176760,176968,177162,177325,177513,177680,177861,178017,178181,178329,178453,178600,
69950,0,0,1,17,98,390,875,1696,2973,4633,6666,9114,11851,14954,18237,21634,25231,28782,32434,36038,39688,43328,46909,50410,53785,57079,60462,63546,66568,69546,72382,75143,77892,80501,83014,85431,87823,89997,92234,94357,96350,98350,100226,102031,103761,105446,107038,108560,110025,111422,112780,114131,115350,116647,117793,119022,120111,121140,122178,123158,124061,124983,125861,126739,127555,128308,129026,129766,130471,131176,131850,132524,133134,133731,134266,134809,135366,135872,136363,136866,137318,137737,138159,138604,139031,139434,139829,140222,140575,140909,141248,141581,141899,142178,142482,142760,143057,143297,143555,143795,144021,144261,144495,144726,144946,145133,145320,145531,145717,145897,146079,146263,146431,146598,146736,146894,147045,147174,147292,
69960,0,0,0,4,24,140,344,743,1375,2337,3539,5042,6780,8703,10912,13211,15741,18268,20868,23429,26154,28880,31636,34240,36983,39560,42077,44654,47071,49474,51844,54119,56306,58402,60405,62403,64366,66181,67999,69819,71650,73256,74867,76378,77826,79274,80633,82053,83367,84600,85839,86976,88068,89105,90135,91134,92109,92981,93892,94787,95620,96466,97245,98026,98754,99459,100098,100769,101386,102011,102626,103216,103766,104334,104828,105325,105779,106251,106750,107196,107596,107972,108368,108740,109118,109461,109809,110165,110512,110823,111142,111410,111693,111979,112267,112566,112796,113055,113263,113485,113695,113919,114134,114327,114505,114702,114872,115042,115209,115381,115557,115696,115843,115977,116121,116253,116391,116512,116636,
69970,0,0,0,0,5,28,89,219,467,891,1459,2231,3137,4205,5427,6863,8402,10009,11677,13453,15253,16997,18820,20742,22640,24526,26320,28119,29889,31639,33392,35107,36825,38498,40130,41732,43226,44665,46138,47556,48936,50283,51563,52764,53944,55128,56257,57355,58334,59327,60299,61216,62114,63000,63849,64687,65523,66296,67064,67784,68482,69133,69788,70468,71114,71676,72257,72756,73262,73765,74258,74746,75183,75609,76073,76525,76954,77307,77695,78091,78459,78811,79164,79529,79831,80139,80446,80744,81045,81343,81609,81874,82119,82356,82579,82799,83017,83234,83457,83645,83823,83980,84174,84368,84544,84712,84867,85027,85177,85330,85456,85609,85735,85864,85990,86104,86231,86329,86438,
69980,0,0,0,0,0,3,17,47,110,227,384,673,1020,1415,1927,2493,3152,3929,4764,5637,6617,7574,8594,9711,10780,11857,12932,14052,15289,16393,17525,18615,19769,20882,21965,23023,24026,24998,26005,26947,27940,28856,29728,30593,31433,32261,33055,33851,34612,35385,36100,36778,37449,38128,38796,39434,40055,40614,41198,41767,42321,42845,43351,43828,44285,44726,45151,45599,45989,46410,46810,47198,47589,47974,48322,48657,49011,49325,49630,49939,50197,50483,50749,51018,51264,51513,51753,51998,52217,52437,52631,52854,53060,53282,53466,53647,53824,53991,54167,54340,54507,54651,54803,54938,55077,55208,55333,55457,55577,55697,55815,55951,56062,56159,56280,56383,56480,56576,56661,
6999508,34099,133211,255369,373073,476812,565778,641913,706445,762005,809531,850918,886732,918441,946459,971288,993085,1012707,1030402,1046520,1060977,1074347,1086599,1097635,1107644,1116815,1125425,1133400,1140782,1147586,1153883,1159791,1165303,1170598,1175325,1179806,1184095,1187933,1191617,1195145,1198475,1201505,1204434,1207227,1209920,1212353,1214716,1216940,1219108,1221101,1223001,1224807,1226583,1228289,1229807,1231261,1232663,1233912,1235099,1236326,1237539,1238622,1239756,1240796,1241752,1242668,1243517,1244396,1245190,1245971,1246730,1247447,1248108,1248784,1249386,1249983,1250585,1251156,1251667,1252208,1252753,1253202,1253624,1254054,1254466,1254880,1255263,1255632,1255966,1256318,1256670,1256994,1257285,1257573,1257853,1258143,1258408,1258652,1258869,1259123,1259343,1259585,1259802,1260023,1260210,1260374,1260560,1260742,1260910,1261076,1261239,1261417,1261578,1261709,1261851,1261986,1262129,1262276,1262398,1262523,
700041,8868,51843,122478,202624,280633,352878,417541,474927,525173,569533,608754,643587,674704,702319,727180,749378,769807,787924,804616,819896,833773,846446,858011,868730,878559,887778,896279,904064,911223,918009,924423,930463,936117,941427,946424,951016,955325,959414,963226,966738,970120,973368,976541,979381,982158,984782,987262,989636,991891,993951,995951,997979,999754,1001497,1003122,1004678,1006121,1007495,1008872,1010100,1011294,1012514,1013680,1014786,1015836,1016751,1017741,1018672,1019555,1020410,1021245,1022022,1022793,1023495,1024189,1024843,1025457,1026076,1026651,1027255,1027796,1028287,1028757,1029211,1029703,1030125,1030572,1031033,1031400,1031813,1032154,1032517,1032863,1033197,1033510,1033804,1034082,1034319,1034595,1034861,1035126,1035383,1035634,1035852,1036055,1036286,1036493,1036693,1036898,1037096,1037279,1037422,1037593,1037756,1037901,1038051,1038200,1038371,1038522,
700117,3695,28060,75578,135349,198274,258320,314300,365291,410870,452215,488725,521537,551622,578176,602344,624301,643979,662310,678825,694069,707863,720564,732241,743068,752890,762359,771035,779026,786464,793514,800056,806190,811895,817237,822276,826964,831426,835662,839537,843324,846854,850130,853214,856138,859108,861838,864365,866843,869061,871192,873324,875273,877189,878939,880657,882281,883828,885304,886750,888115,889413,890641,891854,893007,894068,895167,896095,897061,898050,898909,899781,900563,901412,902117,902846,903512,904119,904708,905360,905938,906515,907080,907569,908070,908524,908964,909433,909882,910287,910695,911075,911456,911841,912203,912526,912841,913126,913410,913707,914000,914258,914529,914788,915013,915253,915468,915671,915884,916082,916292,916462,916672,916843,917032,917215,917372,917545,917688,917839,
70021,1164,13021,41591,81949,128552,176027,222052,265300,304957,341713,375117,405171,432615,457515,480212,500731,519741,537064,552981,567763,581105,593536,605000,615675,625656,634758,643351,651309,658840,665831,672454,678805,684603,689990,695043,699787,704302,708545,712496,716149,719696,723070,726288,729377,732258,734963,737643,740162,742505,744751,746802,748856,750826,752629,754363,756014,757622,759193,760588,761956,763277,764552,765696,766847,767960,769038,770072,771030,771941,772855,773716,774564,775349,776104,776866,777542,778246,778873,779487,780048,780643,781236,781751,782294,782808,783326,783796,784245,784700,785135,785500,785877,786246,786593,786947,787256,787583,787894,788193,788475,788779,789065,789354,789612,789860,790069,790302,790500,790711,790916,791116,791319,791507,791676,791854,792012,792199,792343,792489,
70031,290,4911,19434,43601,74241,108148,143031,176991,209047,239396,267878,294270,318618,340551,361142,380167,397629,413791,428623,442252,454926,466710,477783,488039,497560,506425,514686,522479,529848,536657,542985,548986,554759,560156,565219,569978,574519,578841,582836,586683,590202,593492,596749,599750,602630,605329,607962,610487,612846,615153,617348,619380,621354,623264,625114,626775,628359,629867,631383,632802,634176,635443,636632,637796,638907,640019,641080,642050,643056,643929,644797,645634,646413,647192,647969,648700,649361,650004,650667,651280,651883,652433,653004,653535,654035,654536,655001,655490,655937,656360,656745,657144,657518,657887,658248,658569,658938,659232,659528,659845,660155,660424,660678,660917,661175,661426,661648,661880,662076,662303,662518,662703,662867,663049,663248,663414,663601,663791,663943,
70040,128,2781,12152,29761,53506,80761,109526,138614,166648,193305,218570,242335,264694,285248,304411,322238,338670,353984,368205,381273,393424,404868,415429,425428,434774,443272,451310,458788,465987,472578,478877,484833,490272,495401,500434,505013,509334,513516,517450,521206,524669,528087,531292,534298,537207,539999,542624,544991,547351,549589,551675,553723,555656,557483,559238,560854,562398,563988,565411,566832,568198,569549,570894,572059,573192,574271,575395,576405,577341,578262,579113,579961,580799,581547,582310,583000,583679,584326,585024,585677,586263,586876,587436,587993,588502,589008,589471,589947,590397,590829,591223,591648,592034,592376,592736,593084,593392,593728,594045,594341,594641,594899,595165,595416,595673,595898,596110,596321,596528,596705,596906,597114,597324,597501,597682,597859,598017,598183,598359,
70050,59,1379,7121,18837,36075,57069,79865,103580,127182,150285,172324,193371,213344,231899,249521,265548,280801,295026,308164,320470,331807,342653,352674,362144,370965,379229,387027,394327,401107,407603,413764,419456,424900,429922,434783,439286,443630,447798,451667,455391,458763,462023,465167,468163,470943,473606,476134,478547,480752,482958,485058,487063,488995,490870,492673,494402,496006,497548,499045,500447,501770,503046,504256,505432,506594,507635,508643,509659,510638,511533,512442,513268,514098,514908,515671,516413,517107,517775,518441,519076,519713,520304,520856,521401,521910,522414,522922,523381,523784,524221,524651,525066,525429,525814,526173,526543,526862,527189,527511,527803,528070,528321,528610,528873,529113,529364,529584,529779,529986,530204,530407,530605,530831,531029,531215,531378,531534,531693,531856,
70060,16,603,3731,11105,22708,37971,55548,74209,93347,112689,131542,149424,166649,182803,197950,212541,226370,239147,251218,262495,273077,282919,292350,301234,309629,317467,324893,331859,338315,344547,350207,355529,360735,365662,370283,374690,378729,382686,386471,390023,393351,396535,399543,402307,405072,407689,410189,412519,414872,417002,419015,420981,422905,424624,426273,427951,429503,431019,432472,433846,435147,436369,437660,438794,439934,441003,442012,442946,443901,444802,445673,446452,447252,447993,448726,449456,450125,450770,451400,452038,452660,453262,453834,454393,454856,455396,455850,456312,456801,457198,457593,457992,458354,458726,459101,459456,459810,460125,460424,460720,461024,461310,461578,461841,462074,462329,462555,462765,462992,463197,463385,463589,463795,463998,464201,464364,464551,464705,464865,
70070,5,211,1696,5938,13285,23524,35965,49917,64539,79660,94972,109755,124200,138073,151157,163890,175690,187059,197829,207857,217351,226389,234987,243026,250795,257998,264890,271315,277374,283116,288561,293641,298512,303028,307384,311580,315397,319064,322542,325877,329030,332053,334932,337655,340284,342748,345080,347283,349412,351509,353522,355426,357247,358960,360594,362309,363763,365191,366578,367857,369113,370337,371495,372637,373712,374783,375777,376771,377675,378606,379455,380261,381059,381834,382546,383264,383945,384609,385208,385791,386351,386866,387410,387953,388458,388937,389390,389834,390277,390711,391153,391574,391918,392289,392628,393001,393323,393648,393943,394227,394489,394750,395033,395295,395553,395790,396026,396268,396496,396693,396902,397093,397290,397478,397662,397843,398012,398165,398296,
70080,1,116,973,3660,8839,16415,26270,37550,49861,62715,75547,88444,101000,113198,124931,136296,147225,157494,167133,176485,185309,193924,201844,209431,216498,223317,229707,235822,241536,246906,252030,256695,261265,265687,269866,273745,277528,281062,284492,287734,290791,293839,296551,299233,301769,304174,306397,308598,310726,312650,314539,316366,318153,319824,321427,322977,324398,325822,327200,328487,329748,330988,332140,333234,334273,335226,336238,337157,338072,338987,339841,340660,341418,342212,342913,343636,344344,345007,345606,346197,346754,347266,347703,348214,348702,349175,349650,350106,350548,350957,351361,351792,352213,352594,352939,353250,353565,353909,354207,354490,354745,355029,355323,355597,355874,356133,356337,356553,356769,356977,357168,357341,357530,357737,357911,358096,358272,358432,358605,
70090,0,55,535,2216,5740,11214,18442,27319,37045,47289,58179,68962,79587,90083,100405,110502,120267,129452,138293,146775,154769,162346,169647,176641,183136,189277,195119,200674,205939,210969,215681,220361,224762,228969,232924,236594,240091,243526,246755,249783,252620,255532,258152,260677,263111,265343,267619,269706,271718,273701,275569,277263,278997,280622,282218,283687,285118,286416,287749,288914,290150,291295,292423,293493,294522,295529,296504,297470,298347,299158,299955,300757,301528,302260,302974,303620,304269,304899,305480,306029,306590,307130,307670,308194,308682,309146,309584,310040,310474,310884,311263,311657,312034,312394,312742,313073,313402,313741,314046,314308,314574,314880,315138,315410,315636,315892,316122,316335,316540,316730,316944,317124,317327,317531,317730,317881,318063,318214,318352,
70100,0,28,258,1178,3300,6949,12011,18518,26052,34141,42750,51523,60479,69573,78332,86754,95002,103048,110822,118422,125524,132264,138777,145057,150922,156537,161947,167114,171956,176529,180948,185145,189229,192891,196527,199944,203246,206432,209406,212227,214970,217533,219981,222352,224650,226884,229014,231101,233009,234883,236641,238291,239903,241477,242987,244407,245732,247016,248333,249551,250729,251853,252943,253943,254927,255825,256761,257606,258453,259238,260006,260726,261444,262155,262815,263490,264134,264756,265341,265899,266438,266913,267457,267970,268450,268864,269315,269741,270166,270581,270934,271304,271696,272017,272368,272679,272992,273303,273589,273847,274114,274365,274613,274878,275129,275345,275566,275776,275998,276213,276398,276609,276789,276992,277162,277330,277480,277648,277797,
70110,0,8,107,583,1804,3964,7361,11806,17091,23041,29562,36525,43488,50788,57971,64997,72048,78844,85629,91999,98016,103863,109539,114960,120338,125236,130024,134583,138892,143108,147147,151051,154879,158375,161638,164896,167871,170739,173571,176147,178683,181031,183390,185597,187739,189761,191717,193625,195391,197175,198806,200444,201952,203387,204846,206157,207373,208640,209870,210972,212024,213031,214092,215031,215943,216878,217736,218566,219384,220097,220869,221539,222248,222952,223592,224178,224767,225352,225884,226399,226928,227427,227917,228360,228862,229270,229689,230082,230496,230865,231261,231620,231912,232234,232567,232843,233162,233452,233730,233973,234213,234481,234724,234960,235161,235363,235584,235818,236025,236199,236392,236586,236745,236909,237085,237236,237394,237563,237717,
70120,0,2,35,236,823,2041,3996,6832,10351,14532,19124,24091,29346,34704,40260,45755,51285,56683,62041,67257,72314,77175,81912,86561,90981,95202,99416,103341,107066,110664,114122,117469,120818,123942,126894,129683,132414,135024,137446,139852,142149,144422,146523,148567,150554,152425,154135,155891,157596,159145,160621,162055,163458,164786,166124,167400,168557,169673,170795,171889,172855,173813,174786,175682,176523,177360,178143,178952,179730,180445,181163,181825,182490,183101,183739,184284,184808,185328,185807,186299,186785,187247,187722,188175,188605,188996,189389,189773,190139,190486,190850,191180,191493,191786,192115,192433,192764,193030,193319,193568,193842,194087,194303,194512,194730,194956,195152,195374,195580,195785,195947,196138,196306,196490,196659,196800,196958,197095,197254,
70130,0,0,12,72,354,950,2083,3760,6068,8843,12017,15628,19416,23453,27698,31874,36174,40486,44767,49035,53074,57125,61122,64924,68707,72381,75935,79283,82579,85719,88696,91649,94368,97191,99812,102273,104682,107058,109250,111467,113573,115526,117450,119268,121038,122730,124324,125908,127403,128823,130215,131516,132826,134065,135260,136409,137550,138545,139559,140505,141427,142287,143165,143990,144811,145572,146331,147058,147786,148457,149117,149704,150349,150930,151460,151991,152500,153006,153484,153944,154402,154860,155289,155709,156130,156514,156908,157270,157636,157994,158338,158659,158967,159235,159532,159825,160096,160374,160621,160889,161107,161332,161540,161764,161978,162162,162359,162533,162696,162878,163041,163198,163340,163489,163645,163806,163957,164097,164235,
70140,0,0,2,23,112,366,857,1734,2974,4581,6529,8760,11291,13924,16853,19815,23012,26202,29427,32613,35893,39020,42159,45175,48098,50985,53794,56491,59157,61730,64290,66692,69067,71349,73502,75685,77712,79747,81677,83491,85216,86935,88556,90120,91704,93208,94625,95994,97282,98591,99743,100932,101995,103099,104170,105139,106089,107004,107922,108863,109710,110530,111294,112056,112819,113470,114125,114777,115409,116015,116586,117155,117733,118252,118745,119226,119728,120190,120641,121062,121457,121861,122278,122629,122999,123338,123677,124027,124345,124645,124949,125243,125510,125780,126026,126294,126549,126760,126984,127180,127392,127598,127778,127982,128177,128388,128544,128722,128880,129054,129203,129350,129489,129627,129791,129920,130048,130175,130303,
70150,0,0,0,5,29,106,300,663,1207,1967,2944,4200,5659,7233,8935,10855,12813,14865,17019,19146,21360,23624,25766,27967,30112,32222,34248,36303,38350,40354,42245,44128,46014,47799,49487,51147,52761,54339,55845,57371,58768,60151,61482,62775,63986,65224,66354,67507,68615,69666,70668,71645,72594,73497,74379,75260,76083,76832,77623,78381,79093,79763,80456,81084,81731,82332,82884,83470,83981,84521,84991,85504,85997,86462,86913,87323,87715,88110,88479,88850,89212,89561,89884,90219,90577,90895,91192,91489,91779,92068,92333,92595,92817,93072,93291,93514,93694,93891,94076,94299,94475,94658,94825,95016,95192,95359,95529,95669,95800,95941,96088,96209,96341,96470,96590,96711,96831,96946,97077,
70160,0,0,0,0,4,24,54,149,303,545,878,1311,1849,2513,3308,4158,5153,6194,7314,8461,9687,10930,12233,13528,14903,16171,17465,18815,20061,21366,22654,23920,25181,26409,27616,28791,29921,31001,32069,33122,34179,35189,36111,37062,37940,38848,39714,40540,41375,42175,42947,43671,44361,45032,45708,46354,46950,47596,48175,48768,49356,49864,50387,50884,51364,51893,52372,52841,53273,53655,54070,54462,54793,55165,55496,55835,56164,56499,56812,57121,57413,57726,57993,58258,58546,58792,59076,59300,59548,59771,59996,60216,60411,60583,60787,60972,61159,61339,61497,61671,61846,61999,62146,62302,62443,62591,62723,62851,62983,63106,63231,63333,63470,63561,63654,63750,63849,63957,64066,
70171966,62145,187288,320154,438284,537956,621164,691684,750371,800576,843655,880778,913372,941847,966759,988905,1008567,1026287,1042203,1056674,1069818,1081732,1092670,1102551,1111799,1120206,1128088,1135446,1142124,1148326,1154011,1159208,1164150,1168862,1173234,1177256,1181101,1184673,1188116,1191265,1194331,1197216,1199946,1202566,1204895,1207194,1209350,1211364,1213269,1215104,1216876,1218516,1220120,1221696,1223152,1224515,1225809,1227101,1228283,1229374,1230413,1231419,1232446,1233361,1234249,1235060,1235898,1236694,1237466,1238175,1238912,1239567,1240223,1240830,1241426,1241998,1242543,1243079,1243628,1244082,1244520,1244988,1245470,1245900,1246310,1246687,1247076,1247411,1247752,1248066,1248409,1248704,1248958,1249213,1249472,1249751,1250001,1250246,1250467,1250686,1250908,1251135,1251348,1251557,1251741,1251923,1252089,1252261,1252423,1252580,1252763,1252923,1253069,1253206,1253342,1253480,1253607,1253725,1253843,1253939,
7018231,20072,85188,171569,259636,340152,411683,474145,528164,575504,616585,653079,685250,713558,739117,761707,782130,800624,817175,832370,846317,858948,870434,881177,890759,899925,908224,916039,923329,930078,936330,942140,947524,952700,957366,961927,966072,969953,973785,977306,980605,983827,986818,989614,992184,994625,997004,999165,1001334,1003425,1005369,1007282,1009036,1010736,1012312,1013772,1015236,1016573,1017888,1019186,1020351,1021463,1022593,1023631,1024678,1025646,1026556,1027427,1028268,1029069,1029847,1030635,1031338,1032042,1032705,1033321,1033903,1034458,1035018,1035616,1036177,1036682,1037163,1037625,1038109,1038545,1038965,1039389,1039761,1040111,1040462,1040821,1041166,1041443,1041748,1042043,1042322,1042616,1042898,1043164,1043410,1043675,1043906,1044141,1044348,1044561,1044773,1044965,1045143,1045323,1045518,1045687,1045841,1045999,1046171,1046325,1046462,1046623,1046760,1046917,
701961,9525,50624,113987,184232,252101,314986,371376,421208,465189,504152,538888,569760,597139,622001,644713,664894,683274,699966,715123,729004,741790,753406,764332,774249,783371,792006,799929,807424,814257,820785,826946,832626,837887,842787,847484,851842,855951,859905,863459,866931,870154,873187,876115,878922,881507,883976,886377,888497,890593,892630,894538,896320,898060,899718,901269,902752,904201,905574,906858,908142,909300,910400,911511,912561,913586,914599,915495,916364,917227,918074,918929,919641,920399,921077,921711,922373,922974,923551,924140,924722,925274,925789,926277,926792,927211,927661,928078,928480,928878,929281,929625,929965,930316,930671,930981,931275,931546,931815,932089,932364,932606,932878,933091,933294,933508,933713,933892,934088,934260,934445,934630,934828,935010,935188,935343,935504,935654,935804,935928,
702011,3740,26225,68215,119511,173230,224901,273020,316963,356576,392059,424302,453330,479575,503097,524432,544136,562052,578181,593149,606880,619439,631121,641813,651848,661002,669475,677464,684749,691535,697999,704093,709832,715195,720055,724716,729167,733388,737267,740932,744325,747699,750777,753866,756675,759326,761851,764245,766452,768586,770658,772682,774614,776458,778222,779840,781345,782846,784215,785603,786875,788104,789333,790397,791510,792543,793553,794512,795476,796339,797217,798058,798794,799580,800312,800993,801690,802288,802869,803487,804075,804585,805114,805646,806129,806596,807054,807483,807904,808305,808681,809020,809396,809754,810098,810417,810744,811012,811287,811574,811847,812085,812348,812598,812826,813022,813225,813435,813652,813856,814039,814231,814398,814574,814741,814908,815066,815225,815366,815501,
70211,1161,11376,35143,68578,106968,145849,183976,220320,254019,285296,313699,339821,363692,385353,405187,423492,440219,455682,469784,483056,495081,506367,516754,526566,535605,543897,551677,558971,565715,572042,578066,583764,589139,594109,598745,603163,607349,611427,615175,618548,621759,624943,627888,630783,633456,635944,638335,640624,642840,644948,646877,648811,650641,652362,653955,655584,657129,658618,659948,661329,662599,663827,664989,666050,667076,668112,669069,669954,670901,671777,672616,673449,674197,674923,675637,676319,676961,677603,678220,678811,679379,679923,680429,680876,681366,681862,682312,682758,683206,683614,683998,684374,684744,685091,685438,685757,686038,686365,686685,686973,687197,687463,687717,687958,688188,688387,688591,688782,689000,689193,689382,689579,689769,689954,690151,690324,690517,690666,690807,
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70230,208,3652,14514,33083,56823,83368,110470,137514,163879,188688,211801,233692,253754,272352,289741,306004,320801,334547,347434,359401,370524,381059,390820,399897,408273,416210,423629,430562,437109,443190,449053,454615,459717,464677,469204,473374,477398,481321,484988,488380,491625,494612,497452,500223,502884,505448,507735,510090,512213,514294,516312,518178,520034,521745,523334,524854,526302,527829,529226,530593,531865,533132,534302,535457,536554,537628,538573,539516,540455,541343,542128,542918,543650,544382,545113,545763,546387,547014,547648,548240,548803,549318,549865,550399,550892,551390,551852,552282,552723,553120,553469,553858,554242,554619,554927,555252,555581,555880,556187,556480,556763,557045,557297,557517,557739,557997,558213,558406,558611,558831,559026,559216,559404,559602,559792,559974,560126,560273,560423,
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70260,9,412,2418,7385,15658,26803,39760,53792,68495,83490,98066,112346,125951,138874,151207,163227,174553,185147,195306,204769,213838,222372,230495,238125,245369,252039,258266,264225,269958,275252,280221,285012,289542,293832,297873,301807,305348,308788,312017,315143,318061,320938,323603,326086,328514,330886,333133,335259,337305,339303,341074,342934,344545,346161,347685,349163,350600,352028,353367,354608,355807,356929,358027,359035,360077,361046,362015,362935,363829,364659,365449,366180,366945,367693,368382,369023,369652,370272,370846,371426,371947,372484,372967,373474,373920,374385,374873,375292,375724,376148,376527,376921,377309,377656,378003,378316,378631,378949,379247,379516,379763,380038,380278,380532,380782,381011,381223,381444,381655,381856,382044,382224,382422,382589,382753,382914,383080,383252,383400,
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703873,8056,41681,94456,153586,211436,265350,314790,358476,397492,432340,463416,491369,516384,539110,559366,577981,594830,610144,624506,637475,649478,660415,670533,679847,688532,696401,703814,710692,717252,723336,729090,734414,739435,744246,748757,752963,756860,760631,764181,767408,770569,773547,776417,779109,781638,784007,786343,788456,790510,792557,794423,796252,797980,799565,801152,802612,803996,805328,806620,807801,808975,810061,811161,812205,813182,814104,815037,815907,816785,817589,818335,819028,819745,820408,821069,821698,822257,822814,823362,823927,824444,824955,825417,825873,826317,826774,827195,827571,827951,828289,828641,828987,829300,829591,829901,830186,830461,830736,830992,831243,831504,831756,831982,832189,832394,832611,832812,833014,833193,833383,833557,833725,833884,834040,834203,834342,834487,834637,834774,
703911,2846,19888,52586,93540,137382,180102,220833,258082,292131,323246,351549,377036,400183,421415,440673,458403,474581,489407,503042,515627,527274,538014,548037,557155,565736,573538,580872,587809,594334,600381,606012,611353,616424,621261,625703,629847,633886,637646,641190,644567,647664,650654,653503,656178,658764,661115,663382,665627,667680,669756,671672,673479,675210,676885,678443,679967,681330,682682,684021,685245,686491,687643,688750,689798,690853,691860,692771,693681,694536,695345,696163,696941,697645,698292,698984,699643,700286,700876,701407,701989,702492,703017,703500,703976,704406,704828,705248,705660,706056,706462,706825,707178,707491,707857,708184,708510,708797,709082,709364,709634,709916,710186,710434,710645,710873,711103,711321,711510,711706,711883,712064,712246,712432,712593,712762,712920,713092,713231,713359,
70402,1501,12663,36630,69026,105643,142614,177969,211386,242432,271099,297041,321047,342746,362670,380934,398041,413665,427796,441022,453162,464403,474771,484420,493395,501840,509499,516812,523759,530215,536334,542028,547303,552224,556925,561305,565508,569375,573044,576635,579975,583136,586172,588979,591714,594375,596713,599060,601237,603265,605312,607273,609107,610845,612536,614059,615552,617062,618427,619709,620986,622184,623395,624555,625628,626641,627597,628575,629505,630410,631204,632028,632758,633474,634178,634887,635537,636145,636737,637309,637857,638404,638900,639431,639915,640376,640840,641310,641708,642079,642499,642873,643215,643563,643886,644202,644508,644842,645165,645418,645678,645943,646197,646456,646701,646918,647137,647376,647573,647775,647961,648143,648307,648495,648648,648806,648946,649111,649266,649413,
70410,656,7284,23536,47912,76834,107335,137606,166666,194365,220078,243614,265677,286032,304916,322136,338016,352650,366528,379173,390850,401697,411785,421269,430078,438230,445693,452840,459510,465784,471557,477113,482431,487403,492090,496421,500502,504326,508068,511696,514927,517949,520873,523775,526470,528996,531377,533755,535949,538079,540087,541928,543708,545434,547120,548722,550258,551681,553041,554372,555651,556816,557980,559137,560220,561248,562243,563189,564126,565012,565809,566647,567385,568124,568819,569524,570207,570802,571387,571998,572549,573091,573595,574086,574569,575052,575502,575946,576376,576800,577180,577587,577918,578277,578599,578901,579202,579514,579817,580118,580367,580634,580881,581140,581376,581591,581810,582031,582243,582455,582658,582862,583046,583214,583375,583559,583732,583886,584040,584187,
70420,295,3794,14124,31066,52524,76713,101465,126176,149783,172077,193268,212902,231156,248101,263847,278467,292108,304741,316633,327734,337942,347498,356469,364938,372712,379972,386582,393094,399322,405016,410361,415289,420076,424656,428968,432994,436747,440351,443779,447044,450155,453124,455869,458532,461114,463591,465873,468060,470133,472043,473916,475713,477455,479088,480599,482082,483565,485021,486260,487502,488693,489823,490944,491975,493000,493982,494982,495887,496818,497595,498416,499137,499863,500568,501200,501878,502503,503109,503739,504304,504884,505418,505911,506402,506883,507357,507803,508222,508606,509019,509397,509749,510117,510483,510815,511106,511416,511719,512045,512343,512654,512894,513137,513372,513589,513807,514029,514252,514442,514630,514818,514982,515179,515341,515503,515651,515808,515961,516097,
70430,106,1724,7780,18762,33744,51308,70706,89932,109366,128437,146408,163361,179456,194459,208525,221776,234219,245718,256698,266881,276311,285143,293503,301250,308688,315832,322426,328556,334365,339760,344896,349804,354428,358717,362823,366574,370336,373805,377031,380148,382970,385804,388505,391118,393556,395851,398033,400144,402214,404141,405931,407752,409413,411058,412584,413961,415327,416704,418006,419204,420359,421477,422552,423693,424686,425678,426638,427591,428428,429197,430001,430776,431567,432247,432936,433586,434226,434779,435340,435893,436429,437012,437530,437990,438415,438857,439307,439772,440199,440588,440966,441332,441672,442009,442330,442646,442919,443212,443488,443747,444016,444298,444550,444796,445031,445243,445468,445725,445926,446088,446264,446467,446647,446798,446963,447126,447294,447424,447581,
70440,29,974,4882,12784,24424,38482,54436,71047,87859,104384,120260,135395,149830,163872,176850,189180,200667,211346,221543,231233,240300,248566,256623,264120,271306,277916,284147,290064,295596,300749,305593,310295,314663,318813,322772,326543,330145,333460,336656,339719,342517,345201,347745,350182,352554,354844,357011,359133,361130,363043,364886,366548,368207,369687,371216,372671,374037,375370,376592,377815,378990,380090,381105,382159,383165,384113,385073,385892,386771,387631,388374,389160,389904,390577,391205,391820,392420,393033,393554,394119,394682,395157,395694,396165,396647,397113,397586,397995,398432,398838,399225,399563,399899,400266,400591,400885,401212,401477,401752,402018,402276,402523,402763,403029,403266,403496,403713,403895,404093,404289,404463,404644,404819,404989,405170,405343,405508,405639,405797,
70450,25,505,2815,8257,16705,27389,40011,53569,67709,81552,95466,108753,121497,133819,145427,156423,166948,176885,186182,194983,203302,211021,218431,225241,231910,238142,243992,249561,254843,259772,264344,268704,272802,276830,280588,284253,287666,290952,294072,297099,299889,302531,305070,307443,309800,311996,314120,316059,317953,319796,321471,323118,324755,326264,327702,329082,330438,331753,332982,334136,335300,336431,337494,338551,339540,340438,341335,342228,343092,343884,344633,345324,346003,346643,347306,347964,348541,349094,349667,350185,350742,351225,351723,352206,352711,353150,353591,354016,354443,354833,355217,355578,355960,356302,356626,356932,357263,357545,357846,358119,358356,358624,358856,359095,359325,359526,359722,359945,360158,360347,360529,360699,360882,361043,361207,361371,361507,361641,361805,
70460,7,272,1574,4993,10703,18378,27817,38565,49841,61186,72689,84215,95224,105932,116105,125837,135263,144367,152863,160913,168625,175750,182563,189051,195026,200772,206289,211414,216295,221041,225432,229676,233612,237317,240875,244246,247477,250482,253347,256183,258873,261384,263797,266092,268237,270362,272393,274277,276127,277948,279645,281235,282749,284224,285632,286935,288161,289394,290613,291753,292852,293928,294969,295975,296903,297783,298651,299511,300331,301119,301873,302591,303309,304000,304626,305236,305801,306369,306915,307491,308015,308479,308945,309437,309916,310379,310771,311197,311563,311925,312288,312692,313055,313405,313748,314024,314321,314606,314906,315172,315412,315673,315913,316160,316359,316560,316785,316990,317183,317365,317551,317716,317885,318063,318229,318356,318511,318664,318816,
70470,2,80,676,2597,6153,11490,18225,26142,34736,43824,53135,62470,71483,80175,88827,97082,105234,112895,120175,127186,133901,140381,146541,152455,158104,163337,168332,173147,177655,181880,185989,189874,193495,196946,200207,203427,206450,209377,212077,214735,217245,219648,221920,224142,226238,228255,230125,231942,233698,235346,236987,238540,240096,241491,242763,243995,245225,246404,247554,248681,249716,250671,251671,252629,253529,254397,255259,256036,256811,257530,258236,258965,259598,260210,260826,261437,262014,262566,263102,263573,264094,264577,265067,265493,265908,266333,266733,267131,267514,267895,268225,268575,268894,269211,269491,269793,270101,270390,270647,270899,271147,271403,271625,271869,272080,272290,272503,272697,272895,273073,273281,273475,273638,273822,273982,274138,274287,274416,274536,
70480,1,17,275,1244,3258,6459,10779,16123,22229,28754,35893,43048,50146,57434,64375,71323,78081,84433,90723,96710,102417,107897,113085,118145,123023,127702,132122,136326,140297,144173,147892,151395,154770,157926,160952,163873,166570,169182,171666,174055,176365,178599,180713,182706,184601,186436,188257,189925,191619,193132,194730,196091,197441,198783,200025,201177,202331,203450,204485,205492,206568,207504,208437,209377,210247,211066,211865,212637,213408,214162,214815,215504,216141,216749,217335,217892,218398,218886,219395,219866,220331,220811,221227,221651,222059,222494,222840,223204,223545,223876,224232,224548,224860,225139,225426,225701,225954,226194,226439,226707,226936,227169,227409,227633,227820,228026,228254,228433,228604,228770,228942,229109,229264,229428,229574,229740,229898,230036,230188,
70490,0,11,97,489,1534,3440,6088,9624,13817,18574,23727,29034,34567,40009,45478,51004,56407,61785,66999,72022,76966,81906,86327,90683,94828,98871,102695,106407,110054,113396,116628,119791,122677,125572,128346,130930,133475,135825,138107,140310,142404,144483,146406,148216,150007,151665,153349,154898,156381,157850,159222,160544,161796,163009,164209,165323,166473,167525,168530,169491,170406,171289,172134,172955,173742,174501,175245,175961,176651,177356,178025,178628,179254,179838,180387,180928,181466,181914,182389,182847,183276,183746,184158,184549,184965,185334,185702,186060,186393,186712,187034,187346,187696,187969,188236,188482,188726,188981,189219,189440,189652,189848,190034,190236,190463,190657,190853,191053,191235,191406,191551,191715,191865,191992,192130,192259,192398,192537,192671,
70500,0,1,23,173,607,1514,2923,4920,7437,10372,13732,17377,21313,25309,29436,33501,37582,41762,45827,49835,53742,57621,61240,64781,68174,71597,74795,77902,80835,83656,86480,89169,91736,94275,96597,98810,101032,103143,105171,107026,108838,110604,112275,113932,115536,117058,118461,119916,121316,122611,123831,125024,126077,127144,128157,129235,130202,131137,132026,132930,133745,134507,135333,136045,136776,137443,138135,138792,139440,140032,140621,141203,141756,142330,142808,143312,143779,144230,144679,145103,145500,145872,146256,146663,146984,147352,147678,148020,148353,148676,148983,149243,149525,149797,150064,150302,150537,150760,150962,151206,151404,151585,151787,151970,152170,152347,152530,152710,152875,153014,153170,153311,153464,153605,153749,153895,154041,154174,154276,
70510,0,0,6,32,186,521,1121,2061,3310,4860,6703,8826,11101,13608,16237,18877,21646,24465,27246,30114,32937,35616,38317,40972,43504,46117,48622,51011,53318,55585,57775,59857,61834,63814,65732,67522,69252,70973,72610,74171,75736,77207,78607,80035,81373,82657,83864,85043,86198,87274,88291,89287,90263,91203,92194,93086,93959,94763,95557,96309,97062,97789,98484,99158,99776,100423,101043,101604,102179,102708,103203,103708,104169,104635,105084,105499,105914,106335,106725,107095,107471,107789,108144,108467,108755,109071,109372,109649,109958,110225,110496,110734,110973,111223,111449,111661,111878,112065,112287,112511,112691,112903,113085,113261,113439,113594,113764,113926,114072,114198,114332,114469,114609,114743,114862,114990,115101,115192,115290,
70520,0,0,0,1,37,100,243,519,937,1531,2268,3132,4223,5437,6740,8214,9674,11310,12865,14520,16140,17814,19487,21173,22853,24547,26136,27730,29364,30847,32369,33838,35237,36618,38033,39407,40707,41975,43163,44326,45480,46579,47637,48628,49623,50590,51541,52409,53303,54147,54966,55777,56539,57295,58026,58724,59381,60046,60650,61311,61833,62401,62926,63472,64024,64526,65017,65494,65959,66390,66756,67156,67582,67975,68306,68657,69006,69331,69644,69939,70242,70569,70864,71141,71382,71655,71903,72155,72415,72656,72882,73132,73333,73562,73766,73951,74152,74330,74493,74652,74799,74951,75098,75252,75401,75519,75626,75756,75876,76001,76124,76260,76366,76454,76570,76685,76797,76911,77012,
70539747,119155,273803,412153,524858,616232,690715,752494,803916,847406,884491,916497,944126,968539,990066,1009367,1026601,1042102,1055971,1068353,1079662,1089939,1099374,1108005,1115851,1123355,1130201,1136520,1142338,1147801,1152821,1157463,1161810,1165947,1169785,1173303,1176702,1179869,1183000,1185928,1188701,1191387,1193780,1196054,1198208,1200221,1202179,1204003,1205769,1207435,1208977,1210562,1211978,1213283,1214607,1215802,1217015,1218165,1219214,1220278,1221150,1222086,1223018,1223859,1224689,1225452,1226217,1226929,1227595,1228261,1228907,1229504,1230113,1230676,1231195,1231680,1232154,1232630,1233081,1233535,1233985,1234382,1234803,1235185,1235584,1235977,1236298,1236631,1236951,1237256,1237578,1237859,1238116,1238369,1238635,1238896,1239152,1239393,1239589,1239813,1240004,1240181,1240366,1240561,1240736,1240921,1241085,1241229,1241376,1241528,1241713,1241864,1242008,1242147,1242270,1242400,1242511,1242620,1242728,1242821,
70542018,51020,149343,252975,346741,426996,495385,553505,602932,645354,682262,714314,742501,767536,789688,809668,827209,843474,858273,871343,883435,894462,904642,913901,922543,930358,937803,944637,951037,956950,962556,967759,972419,976910,981168,985213,988935,992446,995780,998900,1001860,1004678,1007304,1009721,1012084,1014286,1016483,1018539,1020409,1022291,1024074,1025738,1027317,1028831,1030204,1031606,1032884,1034122,1035321,1036428,1037480,1038508,1039452,1040380,1041245,1042098,1042936,1043684,1044406,1045110,1045811,1046434,1047088,1047713,1048322,1048888,1049410,1049901,1050406,1050934,1051401,1051876,1052316,1052747,1053176,1053570,1053935,1054278,1054628,1054943,1055251,1055561,1055840,1056152,1056444,1056695,1056944,1057198,1057445,1057660,1057908,1058133,1058347,1058539,1058728,1058909,1059117,1059293,1059464,1059620,1059784,1059933,1060100,1060244,1060394,1060540,1060676,1060799,1060940,1061071,
7055704,28440,98691,182463,262457,333765,396514,450913,497761,538755,574712,606423,633987,658783,681150,701368,719535,735790,750576,763897,776266,787438,797739,807252,816042,824136,831662,838653,845099,851246,856883,862247,867119,871808,875993,880191,884071,887662,891064,894115,897232,900142,902867,905425,907861,910152,912354,914405,916482,918377,920255,921953,923560,925154,926641,928057,929419,930732,931966,933161,934279,935373,936400,937351,938250,939138,940044,940844,941676,942431,943164,943931,944600,945196,945818,946453,947095,947606,948163,948666,949155,949633,950097,950562,950946,951355,951774,952145,952532,952845,953168,953481,953798,954116,954393,954682,954924,955188,955449,955693,955935,956168,956372,956591,956779,956962,957156,957357,957539,957737,957915,958091,958262,958407,958541,958700,958845,958998,959143,959270,
7056200,13972,58653,120408,184569,245705,300320,349400,392604,430917,464793,494868,521922,546213,568050,587695,605279,621415,635903,649205,661593,672809,683201,692925,701779,710093,717734,724951,731600,737808,743653,749189,754238,758835,763383,767491,771514,775267,778811,782055,785171,788154,790888,793577,796123,798472,800700,802861,804882,806822,808740,810527,812180,813824,815434,816922,818346,819684,820964,822149,823336,824491,825583,826625,827626,828600,829499,830328,831139,831890,832683,833452,834128,834835,835443,836028,836622,837193,837703,838233,838753,839255,839731,840206,840667,841081,841503,841899,842283,842671,843011,843351,843683,843990,844283,844556,844838,845126,845378,845660,845927,846171,846418,846627,846843,847043,847252,847445,847635,847788,847958,848143,848306,848470,848636,848789,848941,849087,849232,849382,
705738,5439,30184,70853,117746,165630,210879,252578,290468,324889,355299,383008,407700,430400,450893,469675,486784,502408,516620,529791,542036,553111,563257,572651,581473,589877,597608,604704,611339,617634,623343,628750,633792,638608,643166,647396,651342,655069,658635,662028,665306,668374,671287,674103,676636,679031,681378,683575,685678,687670,689551,691335,693116,694753,696338,697781,699167,700541,701821,703088,704275,705447,706580,707641,708652,709640,710643,711524,712363,713207,713959,714717,715493,716159,716834,717520,718151,718791,719367,719896,720397,720920,721408,721909,722347,722800,723232,723648,724044,724432,724828,725181,725492,725845,726174,726491,726815,727094,727367,727628,727888,728144,728367,728594,728812,729020,729228,729423,729626,729805,730001,730209,730366,730538,730695,730828,730991,731151,731297,731441,
70589,2985,19816,50359,88623,128945,169012,206260,240459,271835,300765,327330,350982,372580,392145,410190,426853,442061,456115,468923,480590,491570,501790,511094,519742,527796,535394,542315,548932,555107,560839,566286,571415,576251,580841,585107,588973,592774,596423,599742,602995,606054,608926,611703,614290,616700,619047,621217,623266,625228,627091,628924,630647,632358,633907,635353,636763,638093,639392,640712,641911,643045,644173,645259,646333,647326,648228,649093,649960,650816,651620,652384,653134,653835,654519,655149,655749,656351,656966,657546,658096,658603,659092,659571,660035,660507,660917,661362,661773,662171,662532,662863,663216,663557,663887,664220,664530,664811,665084,665379,665646,665896,666137,666370,666593,666811,667042,667243,667430,667610,667779,667965,668114,668305,668491,668656,668803,668936,669085,669220,
70592,1534,12196,34053,63940,97152,130710,163032,193448,221798,247986,271974,294114,314474,333168,350393,366187,380596,393778,406099,417474,428048,437990,447010,455537,463468,470861,477707,484280,490319,496032,501330,506318,511017,515552,519732,523748,527489,531092,534452,537664,540675,543495,546219,548881,551352,553663,555925,558008,559975,561912,563800,565557,567208,568809,570282,571797,573204,574569,575877,577127,578223,579271,580364,581390,582325,583350,584264,585137,585982,586815,587636,588347,589071,589745,590365,591017,591624,592227,592781,593346,593884,594376,594827,595297,595766,596170,596583,597001,597450,597795,598182,598513,598850,599173,599470,599736,600025,600315,600641,600883,601138,601388,601602,601827,602056,602255,602463,602652,602835,603011,603188,603363,603551,603723,603854,603996,604146,604287,604409,
70602,663,6687,21476,43331,69041,96173,123352,149880,174575,197642,219132,239047,257525,274533,290254,304700,318222,330862,342584,353485,363502,372824,381796,389952,397425,404582,411300,417582,423470,429092,434242,439237,443940,448204,452371,456277,459972,463546,466843,469972,472916,475705,478304,480779,483196,485516,487727,489810,491769,493682,495486,497274,498938,500511,501974,503394,504716,506027,507333,508550,509717,510889,511963,513004,513985,514945,515880,516770,517631,518439,519242,520028,520722,521394,522037,522668,523287,523867,524433,524978,525486,526034,526469,526942,527388,527843,528264,528718,529131,529502,529871,530225,530548,530901,531223,531483,531767,532046,532326,532603,532848,533090,533356,533562,533759,533980,534184,534376,534573,534760,534954,535119,535293,535461,535620,535762,535909,536076,536217,
70611,226,3183,12071,26281,45117,65699,87385,108765,129653,149453,168211,185733,202226,217474,231925,245371,257746,269165,280029,290316,299705,308824,317140,324894,332154,339008,345446,351408,357010,362356,367414,372246,376701,380970,384957,388788,392407,395787,399009,401989,404938,407595,410252,412764,415169,417468,419601,421687,423750,425591,427382,429099,430693,432311,433852,435311,436700,438031,439283,440496,441701,442778,443852,444854,445835,446822,447732,448574,449448,450270,451025,451817,452497,453204,453851,454505,455111,455659,456212,456752,457243,457780,458219,458737,459195,459614,460034,460454,460854,461238,461647,462022,462402,462728,463020,463334,463632,463910,464180,464426,464672,464904,465170,465409,465638,465863,466042,466248,466404,466602,466776,466935,467090,467259,467425,467588,467753,467907,468037,
70620,118,1940,7868,18698,33149,50420,68866,87357,105477,123543,140298,156231,171268,185423,198533,210960,222650,233574,243745,253357,262197,270609,278497,285948,292962,299547,305732,311558,317065,322182,327041,331816,336121,340273,344216,347954,351450,354699,357823,360780,363636,366351,368861,371338,373664,375927,378087,380159,382034,383890,385599,387319,388891,390392,391765,393172,394471,395742,396958,398118,399198,400251,401309,402316,403270,404279,405189,406035,406858,407680,408421,409192,409882,410591,411199,411822,412384,412962,413533,414062,414641,415157,415641,416103,416539,416950,417394,417827,418229,418628,419012,419356,419716,420056,420369,420638,420937,421200,421459,421747,421990,422255,422486,422712,422930,423131,423346,423553,423737,423923,424092,424259,424420,424576,424764,424912,425079,425220,425371,
70630,42,1106,4921,12551,23302,36638,51338,66697,82245,97543,112320,126329,139749,152321,164437,176058,186628,196680,206180,215122,223402,231398,238952,245977,252575,258767,264680,270240,275460,280338,284983,289389,293382,297375,301158,304833,308226,311381,314341,317159,319875,322485,324934,327323,329574,331660,333596,335587,337458,339179,340821,342471,344010,345558,346996,348361,349694,350881,352094,353239,354397,355468,356472,357463,358447,359344,360270,361128,361931,362698,363436,364155,364856,365495,366147,366768,367368,367971,368527,369062,369634,370131,370601,371075,371502,371952,372360,372734,373135,373528,373885,374228,374572,374894,375221,375506,375815,376090,376369,376634,376924,377173,377417,377665,377893,378076,378271,378456,378647,378842,379011,379198,379356,379517,379669,379790,379951,380118,380262,
70640,9,524,2790,7801,15507,25348,36741,49117,61963,74730,87350,99475,111284,122491,133125,143302,152909,162154,170679,178819,186441,193777,200634,207266,213417,219311,224813,230151,234982,239613,243884,248012,251873,255656,259294,262681,265847,268831,271756,274470,277127,279659,282031,284315,286494,288649,290565,292455,294305,296056,297718,299314,300797,302249,303639,304985,306280,307523,308707,309818,310882,311945,312986,313935,314829,315760,316663,317455,318222,318961,319662,320399,321121,321784,322406,322993,323596,324157,324698,325226,325726,326192,326640,327099,327510,327912,328336,328687,329072,329450,329775,330107,330436,330749,331061,331340,331633,331920,332186,332472,332725,332969,333253,333490,333693,333893,334121,334304,334502,334686,334858,335061,335239,335434,335615,335794,335944,336092,336217,
70650,2,196,1376,4325,9325,16187,24657,34091,44042,54304,64643,74792,84640,94135,103516,112265,120687,128588,136117,143232,150119,156666,162828,168729,174379,179652,184777,189498,194013,198256,202387,206337,210102,213581,216860,220024,223127,225971,228732,231250,233676,236067,238374,240566,242653,244664,246562,248361,250128,251803,253390,254868,256332,257728,259020,260252,261483,262695,263802,264870,265907,266913,267912,268775,269638,270488,271335,272126,272892,273695,274380,275070,275742,276372,276977,277560,278109,278621,279133,279647,280136,280603,281047,281517,281934,282347,282736,283138,283503,283867,284204,284537,284862,285186,285496,285800,286066,286314,286588,286832,287091,287339,287572,287812,288010,288222,288433,288630,288821,289004,289189,289364,289536,289687,289843,290011,290158,290297,290431,
70660,1,67,569,2071,5016,9205,14860,21471,28905,36584,44398,52512,60504,68402,75964,83419,90612,97414,103948,110067,116078,121882,127269,132334,137163,141882,146452,150758,154889,158719,162487,166084,169473,172665,175682,178622,181374,184120,186650,188991,191321,193545,195662,197689,199661,201495,203263,205052,206659,208111,209606,210979,212393,213658,214883,216040,217195,218284,219319,220374,221314,222238,223159,224031,224891,225687,226469,227223,228010,228701,229401,230074,230686,231283,231841,232385,232882,233359,233864,234327,234791,235225,235652,236067,236482,236868,237289,237609,237952,238286,238640,238952,239240,239546,239844,240136,240390,240655,240903,241158,241401,241623,241879,242110,242304,242522,242721,242910,243096,243249,243429,243602,243752,243919,244063,244215,244361,244486,244601,
70670,0,15,196,970,2536,5137,8764,13259,18441,24009,29897,35923,42027,48268,54368,60384,66263,71980,77601,83027,88166,93002,97802,102391,106689,110853,114827,118566,122133,125681,129033,132172,135296,138151,140969,143566,146155,148623,150913,153209,155370,157381,159325,161226,162949,164670,166296,167813,169279,170685,171944,173218,174497,175732,176897,177982,179066,180082,181064,181983,182853,183698,184537,185370,186164,186908,187667,188427,189091,189789,190412,190999,191603,192188,192736,193275,193773,194256,194737,195205,195635,196051,196461,196835,197201,197573,197954,198307,198645,198949,199251,199557,199857,200165,200418,200674,200931,201154,201375,201587,201787,201993,202189,202419,202623,202832,203042,203227,203400,203596,203759,203921,204058,204198,204345,204490,204629,204755,204883,
70680,0,0,69,357,1061,2412,4437,7078,10358,14055,18074,22455,26937,31413,35885,40493,45087,49594,54010,58291,62496,66391,70308,73983,77554,81007,84456,87630,90730,93717,96475,99146,101738,104293,106697,109009,111250,113406,115511,117518,119420,121263,123014,124690,126220,127726,129123,130573,131892,133120,134330,135495,136601,137756,138821,139810,140851,141802,142742,143597,144448,145253,146063,146860,147568,148279,148931,149625,150277,150862,151471,152060,152611,153163,153660,154154,154635,155084,155502,155935,156331,156692,157059,157423,157795,158131,158494,158836,159167,159480,159786,160084,160372,160640,160896,161138,161383,161642,161871,162085,162304,162494,162702,162900,163083,163250,163410,163586,163748,163931,164101,164261,164406,164562,164706,164833,164963,165080,165198,
70690,0,0,10,92,325,840,1691,2934,4601,6586,8897,11519,14281,17201,20257,23375,26518,29651,32878,36006,39005,41973,44904,47698,50534,53287,55904,58397,60788,63149,65489,67593,69715,71788,73786,75720,77525,79276,80996,82580,84229,85739,87225,88631,89935,91232,92520,93703,94837,95974,97075,98105,99110,100022,100942,101811,102643,103467,104271,105016,105787,106537,107210,107869,108545,109147,109719,110294,110862,111430,111898,112392,112899,113391,113833,114280,114729,115148,115534,115918,116285,116652,117045,117368,117706,118017,118324,118581,118901,119157,119453,119704,119956,120207,120423,120660,120866,121083,121309,121522,121737,121915,122079,122245,122412,122596,122758,122906,123059,123232,123380,123515,123663,123777,123897,124020,124140,124266,124381,
70700,0,0,1,13,59,161,411,810,1380,2147,3082,4208,5582,7002,8539,10196,11957,13750,15578,17474,19299,21216,23026,24879,26651,28363,30072,31781,33448,35073,36718,38324,39846,41322,42717,44086,45397,46632,47882,49138,50327,51444,52526,53637,54656,55668,56622,57571,58496,59375,60221,61062,61879,62662,63364,64036,64736,65371,66007,66635,67267,67867,68461,68997,69499,69989,70473,70927,71415,71830,72284,72690,73060,73464,73828,74174,74485,74800,75149,75461,75797,76102,76390,76655,76915,77151,77405,77662,77902,78167,78396,78615,78832,79017,79211,79402,79596,79785,79960,80119,80282,80436,80588,80734,80875,81023,81152,81286,81424,81562,81675,81786,81900,82025,82135,82239,82330,82435,82515,
707115497,146140,308488,445677,556031,644091,715250,773963,822487,863552,898702,929073,955147,978520,998827,1017201,1033421,1048025,1061222,1073143,1083934,1093690,1102718,1111021,1118547,1125485,1131985,1138048,1143609,1148837,1153721,1158205,1162558,1166385,1170065,1173580,1176803,1179964,1182878,1185563,1188155,1190543,1192808,1194947,1197041,1199010,1200831,1202585,1204261,1205933,1207509,1208908,1210346,1211617,1212867,1213992,1215122,1216208,1217245,1218177,1219092,1220018,1220887,1221741,1222555,1223290,1224010,1224657,1225339,1225986,1226580,1227195,1227731,1228276,1228771,1229263,1229779,1230261,1230721,1231165,1231547,1231907,1232286,1232699,1233011,1233344,1233657,1233978,1234275,1234590,1234871,1235163,1235417,1235656,1235903,1236104,1236333,1236565,1236771,1236999,1237208,1237362,1237537,1237709,1237890,1238044,1238205,1238357,1238511,1238669,1238801,1238946,1239068,1239195,1239313,1239441,1239569,1239696,1239798,1239905,
70723865,68274,178304,286501,380280,458707,524851,580786,628438,669265,704056,735034,762058,785677,806978,826037,843001,858503,872394,884984,896516,906945,916659,925496,933616,941288,948441,955037,961086,966754,972022,976998,981580,985866,989923,993764,997381,1000771,1003827,1006832,1009671,1012438,1015031,1017340,1019588,1021673,1023690,1025626,1027474,1029234,1030883,1032501,1034015,1035470,1036815,1038111,1039288,1040516,1041652,1042741,1043778,1044747,1045686,1046596,1047461,1048289,1049073,1049838,1050552,1051244,1051906,1052587,1053219,1053817,1054355,1054902,1055402,1055903,1056423,1056916,1057409,1057880,1058302,1058728,1059157,1059564,1059924,1060277,1060585,1060918,1061231,1061523,1061789,1062059,1062311,1062545,1062796,1063032,1063274,1063492,1063728,1063953,1064173,1064364,1064558,1064726,1064915,1065096,1065286,1065425,1065582,1065717,1065858,1066004,1066133,1066270,1066396,1066512,1066614,1066739,
70731469,40358,122050,211583,293694,365772,427525,480805,526618,566322,600900,631322,658081,681831,703099,722195,739458,755050,769089,782035,793837,804420,814219,823216,831589,839389,846662,853391,859534,865326,870695,875777,880469,884901,889163,893074,896749,900262,903535,906648,909531,912263,914818,917370,919676,921893,924001,925921,927824,929696,931413,933083,934667,936189,937689,939123,940391,941649,942872,944031,945121,946199,947134,948062,948977,949835,950690,951503,952230,952932,953673,954380,955030,955632,956237,956848,957370,957870,958382,958860,959355,959824,960286,960721,961135,961541,961934,962293,962629,962965,963281,963628,963909,964208,964495,964757,965016,965260,965532,965744,965980,966195,966413,966600,966780,966948,967140,967323,967485,967636,967803,967962,968093,968243,968394,968535,968662,968779,968898,969029,
7074485,20977,76067,145156,213462,276193,331525,380431,423025,460753,493903,522897,548819,572051,592726,611569,628563,644026,658159,671087,682773,693772,703935,713105,721737,729716,737079,743975,750277,756168,761851,766978,771973,776641,780931,784929,788740,792363,795693,798875,801838,804624,807259,809800,812270,814553,816737,818833,820792,822631,824440,826215,827855,829396,830908,832325,833659,834982,836177,837276,838412,839506,840533,841505,842449,843349,844169,844989,845820,846559,847309,848040,848732,849384,850008,850607,851151,851729,852293,852833,853317,853802,854280,854720,855126,855555,855930,856298,856658,857016,857350,857708,858018,858328,858624,858908,859176,859419,859698,859935,860177,860422,860654,860875,861064,861242,861451,861637,861843,862018,862203,862359,862501,862680,862838,862982,863114,863250,863372,863489,
707589,8981,41089,88553,140051,190640,237637,280010,317447,351851,382235,409371,433724,455956,475976,493938,510632,525762,539561,552099,563803,574512,584395,593575,602248,610113,617297,624188,630598,636609,642196,647393,652332,656982,661333,665439,669428,673078,676506,679701,682728,685639,688505,691142,693607,695931,698238,700338,702332,704285,706095,707789,709493,710998,712557,713981,715375,716734,718032,719214,720364,721549,722606,723633,724612,725554,726464,727339,728214,729064,729761,730507,731229,731885,732491,733165,733750,734282,734837,735387,735937,736461,736910,737406,737873,738278,738665,739091,739483,739868,740243,740574,740918,741232,741549,741849,742138,742411,742694,742949,743201,743442,743682,743912,744122,744334,744528,744725,744908,745079,745248,745411,745594,745756,745920,746057,746208,746371,746530,746643,
707629,5203,28134,65433,108524,152487,194304,232563,267518,299480,328183,354124,377563,398807,418103,435606,451829,466549,480068,492547,504086,514654,524513,533611,542224,549922,557103,563942,570404,576419,581861,587094,591912,596576,600955,605124,609063,612815,616267,619494,622561,625405,628196,630807,633296,635670,637914,640162,642177,644131,645888,647659,649362,651025,652563,654094,655517,656795,658106,659338,660475,661629,662731,663713,664693,665614,666517,667416,668260,669079,669876,670663,671372,672020,672643,673295,673958,674558,675119,675663,676173,676672,677144,677650,678093,678525,678953,679328,679752,680102,680443,680775,681121,681433,681759,682056,682332,682607,682862,683138,683403,683620,683840,684059,684278,684492,684714,684896,685091,685271,685451,685630,685790,685944,686101,686251,686404,686553,686710,686862,
707714,2772,17962,45341,79762,116330,152132,185978,217619,246504,272920,296942,319171,339307,357688,374721,390090,404158,417296,429401,440467,450773,460447,469277,477658,485432,492510,499209,505541,511402,516909,522012,526840,531348,535796,539755,543634,547314,550736,553961,557062,559984,562818,565419,568049,570447,572673,574794,576831,578715,580626,582421,584178,585791,587296,588743,590152,591529,592801,593988,595175,596399,597471,598524,599481,600406,601266,602196,603084,603873,604659,605423,606131,606802,607413,608074,608705,609323,609860,610439,610973,611486,612019,612484,612941,613379,613818,614206,614602,614995,615363,615703,616046,616372,616655,616933,617218,617493,617770,618034,618295,618542,618785,619026,619237,619449,619671,619881,620064,620219,620408,620601,620746,620913,621082,621238,621401,621549,621691,621832,
70784,1268,10194,29116,55151,84423,114459,143304,170950,196632,220452,242468,262777,281584,298336,314202,328621,341929,354513,365881,376634,386642,395674,404280,412378,419890,427033,433630,439751,445509,450931,455967,460827,465326,469649,473690,477434,480960,484262,487511,490571,493485,496196,498793,501366,503772,505951,508124,510134,512078,513862,515571,517310,518889,520428,521876,523270,524642,525948,527189,528416,529582,530699,531728,532746,533658,534605,535520,536348,537216,538019,538763,539494,540196,540868,541515,542221,542808,543387,543903,544412,544910,545419,545933,546420,546866,547320,547779,548211,548629,548992,549377,549738,550086,550407,550716,550995,551271,551541,551794,552056,552300,552521,552773,552995,553188,553378,553548,553743,553935,554108,554307,554482,554640,554806,554948,555083,555221,555374,555489,
70790,479,5051,16989,34926,56830,80334,103531,126457,148407,168979,188380,206574,223359,238822,253296,266751,279231,290950,301787,311938,321194,329883,338009,345646,352678,359338,365527,371477,377049,382314,387309,391998,396481,400584,404405,408105,411514,414865,417952,420925,423668,426292,428880,431373,433690,435950,438111,440225,442119,443911,445622,447393,449092,450620,452159,453544,454911,456147,457393,458522,459670,460768,461768,462719,463674,464589,465462,466308,467110,467950,468724,469406,470070,470732,471401,472002,472552,473123,473665,474187,474678,475187,475644,476101,476570,477008,477450,477874,478229,478591,478972,479337,479658,479970,480271,480556,480845,481148,481410,481676,481936,482167,482410,482624,482837,483059,483269,483448,483677,483831,484009,484187,484362,484508,484672,484815,484961,485117,485263,
70800,270,3273,11619,25495,42779,62370,82759,102779,122110,140835,158369,174733,190150,204504,217969,230509,242280,253294,263655,273233,282064,290504,298221,305655,312443,318846,324945,330638,336091,341112,345920,350411,354709,358751,362621,366169,369600,372933,375873,378763,381575,384217,386706,389090,391487,393705,395712,397671,399597,401352,403014,404673,406226,407732,409171,410538,411831,413057,414270,415399,416594,417657,418642,419611,420547,421462,422340,423163,423985,424770,425520,426233,426911,427608,428269,428892,429457,430040,430602,431128,431601,432127,432582,433051,433481,433901,434294,434678,435045,435412,435791,436121,436465,436786,437075,437370,437680,437946,438208,438458,438715,438960,439182,439397,439604,439818,440028,440234,440426,440601,440778,440944,441107,441272,441448,441593,441730,441878,442012,
70810,125,1736,7414,17296,30654,46261,62966,80064,97020,113455,129199,144063,158085,171358,183897,195414,205933,215984,225570,234394,242755,250681,258061,265049,271753,277985,283731,289343,294552,299544,304080,308355,312415,316324,320124,323645,326933,330032,332885,335730,338406,341040,343439,345898,348108,350220,352232,354204,356071,357774,359489,361146,362702,364154,365444,366767,368062,369266,370424,371501,372573,373605,374570,375607,376612,377545,378400,379278,380062,380807,381519,382242,382941,383609,384211,384844,385440,386007,386517,387038,387531,388051,388523,388945,389369,389773,390202,390595,390970,391333,391712,392082,392396,392762,393070,393333,393631,393901,394161,394436,394673,394901,395116,395329,395553,395758,395969,396183,396377,396542,396695,396864,397057,397196,397360,397525,397664,397807,397928,
70820,38,904,4239,11075,20828,32687,46044,59900,73939,87594,101047,113845,126190,138042,149157,159628,169417,178687,187431,195697,203491,210783,217719,224267,230416,236163,241725,246967,251989,256592,260922,265099,269027,272654,276214,279622,282825,285811,288674,291368,293991,296432,298706,300964,303198,305270,307223,309100,310996,312752,314424,315985,317443,318898,320266,321619,322898,324097,325276,326458,327458,328518,329457,330436,331305,332164,332987,333777,334568,335294,336029,336716,337426,338047,338687,339281,339821,340368,340888,341403,341948,342427,342838,343301,343737,344145,344563,344994,345384,345718,346055,346396,346732,347054,347358,347641,347921,348193,348479,348725,348992,349229,349484,349731,349930,350121,350346,350582,350759,350950,351125,351317,351476,351632,351817,351966,352105,352271,352403,
70830,15,400,2230,6414,12851,21333,31136,41896,53077,64443,75492,86457,96900,106979,116590,125684,134326,142390,150255,157750,164893,171744,178062,184069,189646,195103,200211,204929,209495,213837,218043,221893,225603,229046,232432,235464,238507,241311,244023,246639,249079,251441,253743,255896,257962,259960,261821,263573,265328,266967,268527,269966,271387,272749,274084,275382,276528,277701,278818,279859,280905,281895,282862,283779,284645,285526,286294,287060,287822,288554,289238,289908,290537,291184,291769,292295,292834,293353,293809,294337,294806,295262,295715,296136,296572,296981,297403,297769,298149,298497,298881,299190,299520,299840,300142,300423,300695,300967,301233,301485,301736,301994,302244,302453,302657,302870,303086,303284,303490,303665,303854,304022,304176,304317,304452,304589,304725,304867,304998,
70840,2,152,1009,3246,7044,12552,19251,26858,35093,43772,52413,61132,69674,77931,85872,93813,101163,108442,115238,121593,127806,133626,139149,144379,149479,154292,158931,163301,167394,171305,175024,178577,182058,185269,188353,191257,194176,196907,199360,201781,204119,206192,208251,210345,212165,214008,215857,217587,219149,220619,222105,223546,224946,226278,227488,228719,229893,231063,232111,233089,234094,235051,235960,236825,237648,238413,239187,239991,240715,241396,242038,242699,243336,243907,244457,244995,245515,246017,246524,247005,247432,247881,248284,248755,249173,249570,249944,250318,250688,251034,251359,251689,251978,252251,252566,252841,253122,253355,253624,253869,254109,254328,254566,254799,254978,255155,255355,255556,255720,255891,256082,256262,256415,256575,256736,256887,257017,257147,257268,
70850,1,48,390,1571,3695,7154,11687,17109,23105,29582,36310,43131,49782,56462,62824,69203,75455,81379,87159,92810,98185,103278,108125,112818,117229,121522,125633,129552,133266,136662,140108,143413,146445,149402,152156,154815,157292,159822,162165,164426,166518,168608,170553,172397,174234,175883,177470,179033,180442,181918,183308,184683,185964,187223,188405,189581,190626,191673,192685,193613,194471,195371,196210,196993,197821,198580,199327,200057,200736,201394,202030,202649,203250,203826,204367,204857,205375,205874,206351,206821,207249,207658,208052,208470,208854,209208,209547,209910,210245,210586,210895,211199,211500,211766,212053,212288,212566,212811,213044,213279,213480,213679,213882,214079,214271,214466,214671,214872,215055,215219,215351,215521,215666,215811,215961,216090,216234,216368,216498,
70860,0,13,121,593,1620,3404,5906,9181,12939,17295,21958,26698,31628,36669,41649,46522,51392,56147,60851,65482,69795,74018,78124,82018,85726,89287,92780,96017,99142,102156,105082,107877,110614,113151,115692,117997,120236,122386,124499,126616,128566,130407,132179,133842,135432,136887,138330,139746,141079,142382,143636,144805,145940,147096,148140,149203,150171,151114,152008,152929,153734,154531,155338,156117,156844,157561,158238,158884,159453,160065,160670,161246,161801,162361,162862,163361,163825,164286,164756,165190,165614,166005,166401,166783,167137,167454,167775,168119,168450,168724,169025,169314,169592,169842,170100,170377,170613,170839,171047,171262,171490,171711,171898,172076,172243,172419,172621,172782,172941,173073,173230,173395,173532,173669,173817,173957,174082,174202,174321,
70870,0,0,27,153,514,1254,2425,4000,6125,8475,11346,14277,17454,20723,24138,27432,30878,34343,37764,41118,44351,47493,50707,53764,56641,59427,62165,64809,67352,69758,72079,74413,76604,78636,80671,82626,84473,86336,88075,89744,91373,92976,94418,95839,97256,98572,99845,100959,102120,103231,104392,105401,106427,107412,108386,109260,110172,110958,111808,112586,113343,114014,114729,115351,116000,116661,117267,117801,118321,118850,119374,119919,120389,120857,121309,121730,122129,122526,122917,123301,123661,124022,124345,124701,125045,125335,125633,125936,126255,126517,126803,127076,127329,127593,127813,128073,128271,128498,128696,128877,129085,129274,129440,129619,129765,129935,130107,130278,130438,130595,130735,130858,130995,131136,131259,131386,131498,131624,131735,
70880,0,0,0,14,89,285,618,1170,1923,2915,4101,5496,7112,8832,10617,12590,14544,16467,18507,20517,22629,24570,26480,28456,30392,32375,34326,36097,37834,39561,41216,42935,44547,46084,47564,48952,50355,51779,53137,54398,55627,56851,57994,59050,60128,61144,62154,63099,64031,64937,65819,66591,67392,68206,68963,69696,70370,71036,71705,72372,72997,73583,74177,74722,75228,75716,76215,76707,77138,77574,78011,78402,78821,79203,79573,79972,80284,80637,80952,81256,81582,81864,82130,82407,82652,82941,83199,83450,83671,83912,84161,84369,84596,84823,85005,85213,85386,85567,85748,85937,86126,86274,86404,86562,86687,86827,86962,87079,87209,87344,87460,87570,87676,87783,87871,87984,88094,88198,88287,
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71280,0,0,3,27,260,1095,3492,8386,16436,28399,44711,64952,89503,117508,148693,182572,218581,256812,296307,336303,377180,418497,460012,501416,542781,583496,623909,663721,702812,740997,778155,814487,850252,884851,918622,951563,983933,1015208,1045346,1074998,1103853,1131850,1159352,1185868,1211736,1236589,1260723,1284242,1307168,1329096,1350737,1371744,1392245,1411941,1431242,1449904,1468033,1485687,1502981,1519631,1535905,1551674,1567149,1581963,1596439,1610944,1624946,1638227,1651109,1663891,1676365,1688480,1700233,1711914,1723155,1733989,1744771,1755248,1765744,1775799,1785490,1794938,1804237,1813405,1822146,1830848,1839461,1847835,1855946,1863667,1871409,1879028,1886421,1893772,1900826,1907877,1914762,1921550,1927967,1934382,1940629,1946898,1953015,1958946,1964705,1970312,1975832,1981336,1986653,1991932,1997101,2002089,2006980,2011781,2016670,2021356,2026048,2030449,2034928,
71290,0,0,0,1,1,21,142,430,1226,2794,5381,9471,15181,22902,32636,44474,58085,73773,91382,110388,131260,153453,176650,201245,226397,252636,279591,306897,334694,362717,390953,419293,447668,476022,504213,532522,560347,587761,614876,641932,668826,695403,721153,746901,772147,796985,821470,845443,868898,891967,914642,937052,958801,980322,1001340,1021796,1041975,1061799,1081307,1100466,1119146,1137461,1155371,1173152,1190519,1207418,1223964,1240284,1256053,1271578,1286656,1301482,1316062,1330499,1344554,1358382,1371888,1385089,1398029,1410684,1423055,1435455,1447287,1459050,1470846,1482326,1493380,1504195,1514969,1525382,1535690,1545756,1555626,1565231,1574911,1584246,1593629,1602825,1611743,1620293,1629013,1637657,1646125,1654276,1662353,1670189,1677838,1685354,1692867,1700162,1707392,1714551,1721496,1728233,1734828,1741359,1747790,1754236,1760519,
71300,0,0,0,0,0,3,11,52,198,496,1115,2212,3969,6629,10242,15058,21026,28264,36940,47023,58292,70969,84809,99730,115513,132501,150445,169120,188387,208655,229315,250716,272438,294291,316564,338906,361359,384249,406772,429347,452206,474771,497436,520043,542368,564772,586755,608598,630131,651479,672480,693547,714350,735025,755264,775238,794815,814146,833099,851838,870305,888811,906822,924340,941902,959049,976047,992566,1008996,1024960,1040925,1056538,1071970,1087205,1101896,1116398,1130764,1145061,1159132,1172686,1185999,1199200,1212096,1224744,1237518,1249746,1261848,1273772,1285415,1296920,1308302,1319657,1330595,1341611,1352368,1362866,1373279,1383294,1393470,1403138,1412762,1422291,1431611,1440826,1449823,1458675,1467401,1476215,1484661,1492999,1501212,1509492,1517399,1525246,1533026,1540488,1548023,1555289,1562412,
71310,0,0,0,0,0,0,2,5,14,50,149,349,711,1294,2187,3463,5380,7739,10857,14643,19245,24563,30753,37979,45755,54630,64130,74473,85664,97353,110016,123328,137067,151398,165895,181175,196481,212104,228281,244711,261439,278421,295830,313193,330877,348600,366291,384105,401629,419229,437200,454825,472460,490347,507834,525359,542904,560201,577416,594447,611118,627756,644198,660477,676774,692697,708627,724249,739940,755283,770459,785454,800541,815315,830148,844373,858552,872624,886436,900257,913730,927066,940299,953322,966190,978918,991212,1003570,1015607,1027752,1039608,1051259,1062928,1074524,1085642,1096851,1107804,1118774,1129427,1140085,1150577,1160857,1170925,1180946,1190813,1200593,1210236,1219666,1229113,1238392,1247515,1256598,1265613,1274328,1283110,1291656,1300072,1308398,1316615,
71320,0,0,0,0,0,0,0,0,0,3,10,25,57,115,210,411,756,1191,1837,2744,3979,5478,7449,9590,12349,15502,19127,23186,27925,32987,38587,44610,51077,58027,65576,73633,82016,90834,100019,109859,119748,130016,140548,151551,162770,174049,185751,197802,209981,222180,234694,247358,260340,273389,286480,299585,312677,325800,339150,352318,365510,379110,392400,405785,419152,432436,445680,458894,472076,485561,498583,511582,524527,537402,550261,563065,575752,588557,601304,613789,626030,638171,650481,662504,674266,686276,697985,709612,721260,732731,743968,755085,766261,777390,788391,799375,810148,820783,831294,841936,852326,862549,872912,882912,892916,902647,912604,922438,932030,941606,950935,960133,969307,978742,987779,996503,1005473,1014313,1022971,
71330,0,0,0,0,0,0,0,0,0,0,0,1,2,3,9,19,42,76,135,235,385,615,924,1302,1851,2537,3328,4289,5442,6796,8416,10280,12422,14710,17315,20161,23292,26688,30360,34237,38468,42883,47644,52626,57904,63327,69120,75240,81505,87985,94723,101516,108510,115852,123300,131029,138939,146924,155163,163408,171651,179999,188724,197538,206577,215577,224509,233931,243077,252292,261593,270973,280282,289658,299244,308626,318329,327805,337438,347092,356913,366555,376091,385668,395098,404732,414395,423973,433399,442811,452175,461546,470936,480337,489591,498817,507978,517230,526363,535435,544516,553451,562323,571338,580197,589116,597926,606765,615413,624074,632669,641361,649817,658100,666730,674917,683092,691543,699694,
71340,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,5,13,31,59,105,176,263,389,557,787,1068,1465,1899,2458,3127,3870,4771,5790,6982,8288,9692,11407,13162,15105,17160,19530,22068,24788,27698,30622,33907,37308,40990,44846,48889,53020,57309,61884,66588,71410,76447,81591,86861,92324,97695,103381,109066,115117,121281,127458,133837,140183,146673,153242,159816,166572,173430,180348,187371,194383,201372,208536,215642,222919,230257,237636,245118,252486,259951,267569,275009,282658,290401,297870,305603,313205,320829,328484,336098,343722,351302,358854,366550,374214,381778,389415,397053,404674,412270,419903,427632,435046,442617,450070,457485,464891,472274,479645,487085,494387,501804,508982,
71350,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,5,11,15,28,39,57,87,125,167,242,347,480,646,839,1079,1408,1748,2122,2580,3159,3763,4467,5234,6111,7059,8129,9388,10689,12103,13622,15251,16965,18888,20870,22983,25207,27593,30158,32731,35322,38093,41099,44163,47368,50638,53947,57452,61168,64829,68487,72450,76478,80633,84916,89229,93563,97978,102480,107026,111835,116518,121482,126409,131548,136567,141695,146952,152255,157569,162899,168219,173445,178833,184382,189915,195477,201067,206577,212175,217907,223397,229225,234884,240587,246278,252205,258224,263965,269827,275707,281582,287255,293124,299266,305228,311148,317117,322968,329080,334916,
71360,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,5,8,12,16,25,38,56,83,111,149,202,258,337,448,579,703,878,1071,1287,1571,1865,2203,2593,3039,3557,4096,4695,5391,6092,6844,7617,8563,9510,10535,11672,12824,14043,15272,16653,18134,19730,21347,22969,24711,26553,28416,30420,32427,34482,36646,38860,41190,43603,46090,48613,51210,53819,56621,59543,62525,65479,68468,71508,74705,77873,81081,84419,87713,91074,94461,97892,101452,105093,108709,112367,116082,119791,123604,127385,131311,135267,139279,143217,147412,151571,155596,159680,163697,167872,172115,176361,180588,184848,189107,193229,
71370,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,8,10,16,33,45,63,86,108,140,183,226,278,345,414,520,601,737,856,1015,1188,1376,1594,1815,2068,2347,2610,2974,3316,3720,4152,4631,5115,5647,6216,6852,7505,8136,8838,9609,10435,11344,12271,13179,14145,15164,16278,17344,18454,19618,20941,22198,23512,24909,26309,27731,29256,30801,32424,34090,35778,37488,39207,40974,42781,44667,46521,48546,50529,52499,54548,56643,58693,60839,63083,65326,67614,69898,72240,74638,77056,79471,81918,84315,86902,89486,92061,
71380,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,9,13,17,21,32,43,55,68,84,93,126,156,193,232,281,337,394,448,523,602,697,805,912,1022,1144,1293,1459,1642,1835,2029,2243,2472,2714,3017,3265,3560,3870,4239,4561,4916,5311,5703,6106,6533,7020,7517,8059,8578,9142,9717,10336,10945,11599,12284,12951,13667,14384,15156,15971,16826,17661,18550,19383,20314,21254,22225,23230,24249,25279,26340,27449,28549,29616,30765,31962,33141,
71390,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,3,4,5,5,7,7,8,8,13,18,26,32,42,57,64,76,91,113,136,152,171,200,230,261,298,346,379,427,470,518,569,627,692,767,851,927,1024,1121,1242,1353,1490,1612,1753,1897,2082,2275,2436,2604,2819,2998,3187,3405,3642,3884,4115,4365,4653,4949,5237,5551,5868,6203,6570,6897,7287,7680,8071,8494,8903,9364,9844,10331,
71400,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,3,3,4,6,11,14,15,18,23,28,34,38,43,50,57,64,73,91,107,119,136,140,155,175,188,217,244,275,295,326,359,389,431,472,536,583,637,700,743,806,867,933,1002,1087,1168,1244,1335,1435,1523,1625,1719,1829,1930,2052,
71410,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,5,6,6,7,8,9,10,10,14,15,17,22,24,26,33,38,45,50,52,56,62,66,71,75,80,85,95,103,110,119,133,151,164,178,
71420,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,2,2,3,3,5,5,6,
71430,137,5881,34527,96686,186215,293421,408325,524541,638494,747034,848881,943241,1030650,1111652,1186678,1256184,1320018,1379070,1433195,1483105,1529586,1572885,1613151,1650794,1685679,1718496,1748888,1777298,1804040,1829132,1852954,1875081,1895941,1915699,1934311,1951922,1968557,1984362,1999394,2013699,2027156,2040066,2052530,2064002,2075192,2085771,2095962,2105608,2115200,2124128,2132621,2140958,2148838,2156365,2163620,2170654,2177191,2183809,2190116,2196119,2201919,2207415,2212893,2218117,2223208,2228013,2232731,2237280,2241697,2246026,2250172,2254199,2258112,2261901,2265592,2269175,2272714,2276249,2279626,2282796,2285901,2288932,2291849,2294590,2297338,2300053,2302669,2305187,2307622,2310054,2312405,2314688,2316922,2319044,2321160,2323220,2325284,2327314,2329308,2331183,2333107,2334934,2336726,2338438,2340202,2341913,2343551,2345143,2346722,2348300,2349762,2351197,2352667,2354104,2355520,2356897,2358259,2359572,2360800,
71440,0,122,2018,11091,31756,66330,114497,172759,238627,309998,383136,457245,530878,602558,672443,739791,804668,866958,926602,983021,1036837,1088038,1136589,1182422,1225833,1267402,1306796,1344080,1379754,1413631,1445418,1475892,1505000,1532632,1559228,1584662,1608903,1632034,1653651,1674676,1694961,1714301,1732829,1750567,1767765,1784220,1800086,1815166,1829699,1843676,1857370,1870422,1882871,1894986,1907054,1918325,1929236,1939604,1949829,1959689,1969381,1978482,1987216,1995943,2004231,2012257,2020111,2027581,2034810,2041899,2048847,2055715,2062239,2068616,2074675,2080616,2086365,2092113,2097626,2103174,2108498,2113623,2118625,2123497,2128204,2132682,2137141,2141558,2145863,2150086,2154246,2158277,2162193,2166049,2169794,2173500,2177135,2180629,2184098,2187528,2190898,2194124,2197223,2200242,2203241,2206176,2208973,2211841,2214624,2217325,2220048,2222734,2225221,2227661,2230146,2232579,2234930,2237235,2239543,
71450,0,7,182,1612,7090,18820,38278,66305,101842,144226,191624,242815,296659,352661,409073,465479,521433,575955,629783,682805,734015,783444,831234,877654,922379,965169,1006522,1046262,1084331,1120963,1156440,1190099,1222592,1253669,1283432,1312387,1339736,1366282,1392123,1416877,1440861,1463833,1486176,1507490,1528005,1547507,1566919,1585314,1603122,1620091,1636690,1652681,1668174,1683265,1697784,1711589,1725301,1738396,1751186,1763374,1775351,1786985,1798309,1809322,1820033,1830227,1840358,1850113,1859507,1868656,1877726,1886140,1894645,1902967,1910956,1918741,1926339,1933806,1941124,1948067,1954931,1961650,1968208,1974597,1980831,1986959,1993024,1998756,2004456,2009991,2015549,2020924,2026170,2031224,2036203,2041170,2045925,2050576,2055164,2059695,2064107,2068412,2072777,2076830,2080876,2084812,2088697,2092450,2096181,2099887,2103387,2106964,2110472,2114005,2117315,2120587,2123824,2127018,2130183,
71460,0,0,10,100,672,2675,7141,15139,27494,44555,65933,91471,120616,153240,188419,225428,264054,303875,344369,385193,426113,467578,508436,548467,588181,626992,665131,702652,739260,775236,810032,843989,876883,909151,940421,970835,999998,1028646,1056390,1083335,1109454,1134726,1159741,1183639,1207018,1229565,1251132,1272259,1293118,1313118,1332887,1351912,1370243,1388377,1405766,1422721,1439226,1455196,1470745,1485768,1500589,1514847,1528754,1542415,1555639,1568504,1581056,1593410,1605307,1616843,1628081,1639049,1649972,1660544,1670833,1680842,1690727,1700309,1709695,1718854,1727835,1736623,1745070,1753484,1761705,1769763,1777683,1785639,1793188,1800645,1807846,1814851,1821730,1828559,1835111,1841638,1848169,1854379,1860499,1866627,1872513,1878406,1883970,1889621,1895014,1900326,1905516,1910728,1915859,1920874,1925760,1930493,1935105,1939750,1944307,1948813,1953225,1957562,1961853,
71470,0,0,0,1,16,102,456,1312,3139,6364,11375,18317,27493,38956,52677,68679,86565,106117,127432,150275,174215,199274,225177,252209,279402,307176,334974,363075,391535,419734,448028,475977,503974,531464,558564,585494,612118,638770,664331,689755,714285,738853,763041,786703,810111,833029,855436,877304,898895,919800,940489,960589,980461,999608,1018398,1036796,1054991,1072921,1090549,1107747,1124440,1140854,1156720,1172506,1187859,1202937,1217656,1232048,1246203,1260315,1273818,1287000,1300027,1312765,1325284,1337470,1349459,1361397,1372767,1384336,1395576,1406417,1417153,1427624,1437980,1448005,1457884,1467683,1477110,1486418,1495736,1504777,1513671,1522406,1531188,1539641,1547915,1556001,1563943,1571793,1579559,1587092,1594454,1601758,1609030,1616129,1623008,1629870,1636567,1643325,1649827,1656219,1662619,1668809,1674937,1680980,1686954,1692822,1698535,
71480,0,0,0,0,1,14,67,227,638,1542,3226,5751,9299,14292,20593,28344,37814,48538,60712,74432,89224,105525,122477,140696,159638,179350,199496,220525,242303,264244,286162,308507,331126,353665,376412,399127,421936,444675,467037,489492,511432,533505,554937,576426,597842,618758,639611,660194,680490,700661,720224,739938,759067,777955,796504,814557,832459,850304,867428,884530,901187,917622,933982,949824,965603,980996,995994,1010701,1025360,1039803,1054037,1067826,1081431,1095056,1108203,1121198,1133988,1146503,1158677,1170747,1182704,1194424,1205983,1217517,1228671,1239772,1250535,1261167,1271769,1282158,1292414,1302318,1311998,1321452,1330937,1340205,1349229,1358244,1367140,1375782,1384532,1393069,1401333,1409559,1417563,1425526,1433440,1441056,1448505,1455930,1463345,1470749,1477882,1485023,1491844,1498652,1505437,1512006,1518578,
71490,0,0,0,0,0,0,6,21,77,221,549,1135,2089,3568,5691,8547,12192,16720,22109,28459,35731,44108,53415,63433,74517,86367,98870,111894,125823,140399,155308,170809,186489,202840,219528,236518,253607,270929,288300,306044,323843,341311,358864,376412,394186,412198,429786,447382,464939,482422,499604,516827,534079,551159,567881,584517,600914,617260,633447,649395,665120,680842,696220,711436,726334,741319,756139,770488,784578,798727,812601,826332,839876,853205,866510,879413,892221,904653,917099,929403,941564,953619,965559,977118,988636,1000167,1011365,1022329,1033135,1044015,1054506,1065013,1075209,1085400,1095526,1105390,1114996,1124598,1133922,1143122,1152292,1161407,1170270,1179332,1187923,1196565,1205068,1213462,1221745,1229932,1237829,1245815,1253680,1261409,1269111,1276545,1283944,1291364,1298703,
71500,0,0,0,0,0,0,0,4,7,24,59,129,283,547,981,1641,2577,3814,5473,7542,10058,13128,16661,20872,25637,30997,36949,43553,50543,58103,66216,74865,83943,93539,103407,113830,124605,135622,146862,158409,170547,182422,194668,207163,219844,232767,245761,258964,272327,285511,298939,312341,326018,339623,353170,366446,379933,393343,406736,420189,433558,446915,460107,473192,486262,499310,512269,525119,537680,550204,562790,575164,587521,599847,612145,624229,636032,647846,659565,671116,682383,693889,705117,716224,727395,738247,749076,759653,770308,780721,790972,801232,811171,821184,831246,840819,850558,860138,869736,879181,888845,898067,907133,916156,925173,933990,942651,951427,959992,968449,976801,985020,993043,1001055,1009064,1016988,1024763,1032509,1040117,
71510,0,0,0,0,0,0,0,0,0,0,2,4,12,33,77,157,295,500,780,1147,1742,2408,3301,4430,5765,7386,9174,11278,13754,16601,19636,23085,26841,30905,35406,40001,45118,50453,56213,62237,68374,74862,81565,88514,95809,103109,110706,118539,126545,134545,142813,151335,159869,168808,177727,186751,195880,205145,214501,223796,233332,242885,252447,261961,271664,281547,291151,300883,310634,320388,330149,339980,349842,359347,368997,378885,388580,398177,407750,417391,426856,436428,445930,455220,464510,473912,483203,492475,501648,510929,520200,529231,538352,547243,556176,565084,573761,582429,591073,599747,608325,616915,625422,633781,642113,650478,658680,666813,675110,683013,690873,698650,706469,714285,722046,729594,737449,744993,752454,
71520,0,0,0,0,0,0,0,0,0,0,0,1,1,6,7,22,36,78,130,236,382,581,846,1198,1660,2226,2930,3786,4757,5922,7268,8770,10557,12473,14618,17054,19642,22467,25436,28650,32122,35872,39837,43939,48223,52690,57479,62431,67535,72920,78398,83998,89760,95708,101744,108102,114519,120951,127485,134140,141018,147975,154894,162060,169170,176442,183849,191295,198867,206194,213796,221396,229353,237036,244757,252547,260341,268196,276036,283973,291788,299646,307357,315086,322850,330653,338555,346474,354312,362095,369989,377730,385483,393231,400894,408713,416455,424086,431592,439182,446799,454355,461804,469208,476674,484056,491471,498900,506140,513435,520625,527823,534844,541900,548815,555669,562465,569563,576504,
71530,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,8,21,35,57,99,145,220,317,463,668,917,1227,1593,2038,2586,3200,3929,4768,5687,6753,7896,9176,10621,12219,13909,15777,17778,19928,22256,24620,27177,29911,32915,35915,39007,42287,45810,49382,53051,56778,60586,64692,68826,73103,77582,82196,86796,91436,96290,101305,106324,111316,116395,121604,126970,132392,137801,143429,148997,154504,160202,165916,171647,177431,183328,189156,195097,200925,206758,212675,218647,224489,230461,236573,242608,248581,254732,260998,267135,273249,279409,285505,291620,297771,303973,310230,316520,322550,328600,334624,340717,346696,352757,358833,365066,371128,377175,383234,389285,395350,401293,407380,
71540,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,8,17,22,33,54,99,145,209,277,369,485,656,837,1054,1318,1639,1979,2420,2913,3395,3994,4630,5362,6224,7092,8090,9207,10366,11569,12931,14374,15901,17517,19235,21013,22937,24903,26961,29211,31452,33853,36333,38859,41381,44088,46854,49621,52518,55451,58566,61745,64926,68198,71415,74868,78394,81840,85417,89055,92678,96435,100351,104161,108131,112068,116039,120178,124293,128404,132538,136695,140990,145353,149664,153940,158346,162721,167220,171781,176246,180785,185259,189885,194370,198862,203325,207796,212432,217091,221590,226273,230904,235471,240262,244780,249450,254132,258911,
71550,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,5,6,8,15,22,32,44,69,92,124,151,185,243,311,377,471,578,711,877,1081,1316,1562,1860,2169,2538,2920,3347,3824,4286,4804,5341,5919,6587,7318,8049,8875,9744,10681,11666,12744,13848,15002,16192,17422,18725,20130,21506,23031,24493,26056,27668,29340,31065,32870,34689,36582,38511,40453,42446,44584,46753,48959,51210,53491,55833,58119,60559,63055,65638,68138,70779,73385,76091,78745,81472,84204,87026,89790,92602,95451,98362,101317,104302,107122,110137,113103,116150,119226,122293,125362,128415,131556,134715,137850,141019,
71560,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,5,5,5,9,11,17,25,33,40,60,80,103,134,174,209,262,332,395,463,558,646,771,894,1028,1195,1364,1536,1754,2002,2253,2509,2783,3074,3440,3798,4204,4577,5026,5474,5962,6471,6992,7549,8173,8794,9424,10120,10867,11609,12400,13161,14012,14891,15707,16597,17554,18510,19507,20499,21496,22571,23652,24798,26030,27252,28473,29713,30997,32298,33608,34999,36393,37822,39211,40708,42309,43897,45496,47073,48702,50334,52016,53677,55383,57071,58804,60606,
71570,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,3,6,8,12,17,24,39,47,58,75,91,115,136,162,182,215,257,305,355,414,479,548,630,731,833,940,1050,1154,1276,1402,1539,1694,1876,2093,2278,2478,2681,2898,3151,3378,3616,3885,4176,4496,4828,5158,5505,5887,6272,6683,7064,7505,7915,8365,8861,9384,9894,10388,10911,11535,12093,12680,13297,13892,14589,15278,15966,16681,17425,18156,18931,19681,20456,21243,22058,22845,
71580,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,3,3,3,9,11,16,18,22,25,28,34,42,51,69,83,95,108,123,141,157,184,205,230,258,299,327,365,394,442,502,556,607,680,744,800,880,957,1041,1126,1217,1311,1415,1519,1642,1770,1867,2000,2143,2287,2453,2592,2763,2930,3119,3290,3478,3669,3884,4075,4280,4517,4747,4999,5250,5504,5766,
71590,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,3,5,6,7,9,9,10,13,17,19,20,23,23,25,28,33,39,44,51,56,63,71,82,103,119,131,144,162,177,195,214,233,252,271,289,315,331,358,385,422,458,501,530,566,615,665,708,744,
71600,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,4,4,6,6,8,8,10,11,11,11,12,18,18,18,22,23,27,30,35,
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71620,2,297,3680,16182,42559,83764,137807,200756,269985,342756,416784,490272,562433,632622,699753,764103,826079,884863,940385,993431,1043898,1092246,1137578,1180666,1221239,1259875,1296574,1331514,1365151,1396627,1426657,1455119,1482389,1508433,1533138,1556850,1579435,1601068,1621936,1641488,1660488,1678711,1696389,1712879,1728910,1744398,1759290,1773707,1787474,1800914,1813773,1826263,1838064,1849457,1860734,1871377,1881753,1891832,1901630,1911146,1920324,1929107,1937732,1946180,1954231,1961820,1969506,1976927,1984185,1991001,1997693,2004235,2010644,2016924,2023002,2028979,2034847,2040475,2046021,2051190,2056374,2061468,2066372,2071155,2075922,2080527,2085119,2089694,2093970,2098111,2102233,2106325,2110177,2113942,2117712,2121490,2125103,2128561,2132014,2135398,2138685,2141947,2145078,2148141,2151172,2154122,2157093,2159940,2162683,2165406,2168125,2170811,2173428,2175988,2178497,2180871,2183340,2185696,2188041,
71630,0,13,448,3172,11298,27227,52262,85682,126665,173508,224377,278277,333746,389817,445931,501449,556389,609495,660704,711307,760022,807060,852558,896118,938306,978522,1017169,1054222,1089303,1123377,1155893,1187139,1217381,1246355,1274028,1300848,1326441,1351077,1375010,1397731,1419668,1441048,1461557,1481476,1500572,1518751,1536621,1553606,1570100,1585961,1601412,1616085,1630766,1644846,1658506,1671728,1684353,1696788,1708703,1720392,1731679,1742757,1753490,1763879,1773867,1783600,1793080,1802247,1811337,1820159,1828576,1837026,1845116,1853148,1861080,1868692,1875984,1883019,1889958,1896627,1903152,1909644,1915908,1921946,1927849,1933826,1939722,1945288,1950767,1956247,1961392,1966476,1971569,1976478,1981294,1986023,1990704,1995195,1999703,2004165,2008646,2012817,2016964,2021022,2024984,2028899,2032723,2036504,2040152,2043791,2047352,2050853,2054377,2057873,2061141,2064367,2067583,2070710,2073823,
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71730,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,7,11,23,35,56,80,111,152,208,264,346,455,585,725,889,1102,1338,1610,1939,2306,2679,3086,3608,4196,4772,5424,6091,6891,7704,8583,9564,10535,11620,12753,13972,15265,16649,18073,19529,21061,22652,24395,26099,27833,29641,31563,33631,35707,37769,39926,42172,44418,46767,49198,51566,54017,56515,59138,61682,64343,66998,69768,72621,75441,78268,81235,84232,87190,90154,93276,96419,99541,102741,105824,109039,112321,115533,118749,122152,125536,128870,132330,135653,138966,142395,145834,149373,152786,156290,159859,163419,166918,170479,174106,177688,181389,184956,
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71830,0,0,1,25,166,773,2368,5458,10654,18417,28825,41827,57623,75706,95887,117987,141599,166741,193053,220238,248089,275952,304335,332743,361602,390171,418832,446878,474546,501883,528903,555832,582164,607803,633109,657899,682516,706406,729713,752162,774389,796148,817381,838250,858909,879184,898794,917858,936569,954731,972682,990339,1007342,1023996,1039970,1055937,1071452,1086560,1101357,1116000,1130216,1144211,1157852,1170985,1183938,1196571,1209114,1221331,1233141,1244889,1256306,1267579,1278452,1289430,1300056,1310476,1320724,1330767,1340612,1350300,1359724,1368943,1377970,1386926,1395843,1404228,1412876,1421033,1429173,1437084,1444892,1452385,1459851,1467364,1474704,1481936,1488999,1495992,1502732,1509476,1516093,1522577,1528951,1535397,1541670,1547771,1553796,1559737,1565613,1571364,1576993,1582540,1587872,1593261,1598571,1603751,1608867,1613970,1619032,
71840,0,0,0,1,15,125,531,1463,3314,6406,10934,17122,25168,35103,46907,60147,74984,91406,109118,128036,147881,168641,189984,212111,234302,257202,280205,303059,326107,349252,372398,395457,418164,441043,463390,485670,507956,529756,551056,572284,593041,613334,633484,653440,672812,691955,710671,729101,747000,764677,782065,799205,816140,832987,849281,865247,880844,896217,911142,925844,940322,954440,968451,982162,995456,1008678,1021789,1034697,1046941,1059057,1070878,1082721,1094354,1105814,1116791,1127651,1138439,1149004,1159509,1169753,1179890,1189889,1199592,1209067,1218444,1227615,1236635,1245422,1254053,1262682,1271195,1279483,1287735,1295866,1303844,1311638,1319306,1326737,1334387,1341779,1349018,1356155,1363215,1370107,1376898,1383538,1390190,1396616,1403064,1409354,1415539,1421728,1427679,1433592,1439420,1445138,1450713,1456373,1461942,
71850,0,0,0,0,1,13,70,260,677,1539,2998,5311,8467,12661,18081,24669,32441,41237,51412,62471,74709,87695,101581,116245,131643,147531,163969,180729,197843,215370,233008,251150,269400,287844,305989,324468,342773,360795,378826,396894,415261,433204,451120,468547,485874,503086,520140,537104,553585,570113,586415,602433,618280,633898,649373,664606,679364,694003,708531,722824,736917,750767,764405,777681,790798,803825,816651,829275,841801,853946,865992,877851,889558,900956,912318,923481,934188,945087,955665,966275,976529,986658,996701,1006595,1016275,1025869,1035340,1044609,1053795,1062890,1071870,1080557,1089232,1097692,1106092,1114358,1122574,1130598,1138404,1146209,1153942,1161386,1168874,1176373,1183587,1190844,1197938,1205000,1211892,1218596,1225289,1231916,1238420,1244902,1251418,1257783,1264067,1270227,1276332,
71860,0,0,0,0,0,0,5,33,83,244,529,1083,1955,3247,5057,7444,10514,14167,18517,23700,29585,36172,43604,51529,60175,69516,79442,89872,100960,112238,124058,136123,148612,161277,174129,187356,200618,214312,228018,241980,255838,269652,283606,297573,311393,325265,339430,353286,367179,380968,394575,408411,421909,435433,448798,462150,475253,488469,501421,514417,527084,539705,552293,564680,577123,589298,601069,612818,624487,636223,647397,658679,669802,680928,691859,702489,712970,723491,733869,744052,754099,764138,773902,783682,793172,802800,812439,821755,830880,839858,848804,857656,866409,875032,883480,891904,900220,908417,916541,924766,932624,940486,948210,955776,963367,970757,978141,985456,992699,999794,1006794,1013708,1020477,1027356,1034015,1040862,1047394,1053777,1060225,
71870,0,0,0,0,0,0,0,0,5,17,58,113,241,464,828,1401,2188,3213,4464,6103,8082,10484,13317,16546,20109,24221,28705,33629,38896,44492,50596,57180,63881,71067,78468,86203,94150,102498,111092,119793,128786,137818,147073,156686,166441,176305,186299,196361,206242,216260,226555,236747,247227,257506,267865,278131,288359,298675,308931,319054,329309,339572,349780,360042,370123,380232,390297,400084,410106,420011,429717,439449,449139,458777,468423,478012,487502,496872,506022,515278,524223,533287,542233,551160,560038,568707,577410,585915,594430,602951,611337,619671,627979,636119,644132,652062,660014,667888,675645,683293,690933,698568,706104,713605,720915,728250,735448,742593,749667,756676,763655,770584,777400,784048,790847,797551,804198,810694,817222,
71880,0,0,0,0,0,0,0,0,1,2,5,20,54,98,184,331,578,939,1419,2053,2846,3905,5186,6655,8320,10383,12679,15216,18121,21344,24852,28690,32743,37139,41691,46588,51706,57101,62771,68693,74694,80904,87361,93964,100813,107869,115091,122335,129739,137169,144953,152590,160493,168482,176380,184412,192631,200802,208925,217155,225434,233761,242074,250516,258745,267023,275195,283694,291960,300456,308724,317117,325469,333694,341875,350233,358534,366625,374836,382946,391027,399017,406837,414867,422665,430571,438317,446126,453762,461336,469122,476726,484443,491841,499195,506696,513948,521035,528201,535356,542387,549237,556205,563275,570106,577046,583927,590755,597548,604278,610851,617469,623819,630173,636588,642969,649212,655583,661714,
71890,0,0,0,0,0,0,0,0,0,1,1,3,7,20,35,60,107,191,320,481,738,1037,1477,2021,2710,3530,4470,5600,6872,8286,9896,11732,13762,15993,18453,21137,23968,26955,30075,33443,36862,40576,44510,48608,52777,57258,61836,66652,71509,76611,81720,86906,92220,97880,103511,109222,115027,120908,126960,133211,139336,145303,151512,157859,164163,170594,177043,183568,190045,196528,203069,209680,216171,222727,229379,236019,242793,249425,256037,262688,269244,275872,282642,289286,295858,302470,309079,315675,322177,328671,335171,341694,348110,354594,360933,367312,373649,380048,386483,392660,399015,405129,411306,417450,423646,429761,435984,442148,448270,454341,460202,466078,471957,477935,483789,489455,495289,500987,506546,
71900,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,6,11,27,41,83,126,183,286,424,607,825,1094,1431,1876,2382,2945,3621,4399,5207,6245,7310,8536,9874,11360,13002,14764,16630,18698,20801,23036,25348,27896,30513,33215,36018,38978,42162,45320,48739,52069,55427,58953,62686,66413,70356,74354,78343,82464,86674,90857,95147,99482,103912,108464,112976,117593,122342,127002,131905,136678,141596,146379,151221,156072,160997,165848,170747,175831,180765,185698,190845,195922,201009,205972,211155,216134,221300,226501,231645,236751,241789,246972,252074,257124,262293,267399,272441,277617,282729,287827,292904,298093,303153,308310,313349,318400,323528,328589,333564,338623,343666,348701,353679,358462,
71910,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,6,12,23,38,67,91,130,173,240,327,433,575,744,952,1200,1519,1846,2258,2687,3198,3784,4360,5053,5816,6618,7522,8483,9464,10596,11820,13071,14392,15821,17351,18913,20493,22152,23901,25722,27739,29739,31874,34029,36240,38461,40847,43353,45814,48290,50847,53464,56179,58947,61722,64587,67475,70520,73506,76520,79726,82971,86153,89500,92736,96039,99425,102828,106260,109767,113307,116754,120159,123688,127170,130797,134417,138152,141851,145467,149231,152931,156695,160445,164159,167870,171609,175382,179180,182900,186741,190567,194418,198194,201961,205734,209529,213268,217040,220926,224740,
71920,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,6,11,26,34,59,73,97,127,161,201,271,341,422,534,667,797,957,1118,1311,1527,1770,2045,2380,2745,3106,3522,3968,4449,4937,5496,6078,6672,7333,8028,8838,9645,10543,11422,12338,13329,14370,15451,16573,17714,18891,20148,21401,22735,24124,25552,26978,28490,30036,31625,33229,34919,36731,38448,40172,41963,43793,45669,47561,49534,51488,53469,55573,57589,59679,61789,63954,66165,68330,70593,72832,75058,77294,79540,81886,84200,86599,89004,91412,93937,96426,98854,101334,103848,106380,108828,111403,113901,116487,119144,
71930,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,5,10,15,20,25,33,48,67,88,106,137,170,207,255,309,364,428,505,604,715,829,956,1095,1254,1408,1578,1779,2010,2206,2460,2756,3048,3359,3693,4090,4463,4868,5269,5648,6143,6589,7083,7615,8176,8782,9394,10027,10681,11345,12113,12846,13617,14385,15190,15978,16823,17664,18549,19493,20393,21359,22339,23394,24435,25489,26602,27768,28907,30106,31297,32501,33736,35028,36306,37645,38935,40191,41522,42881,44333,45771,47222,48713,50195,51731,53165,54668,56270,
71940,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,5,6,9,9,12,19,24,34,42,59,71,89,111,131,148,176,216,251,289,323,362,404,465,530,602,688,783,869,956,1077,1208,1319,1451,1595,1769,1932,2114,2281,2462,2680,2899,3121,3363,3617,3861,4124,4410,4695,5034,5377,5731,6064,6404,6786,7180,7564,7957,8353,8808,9220,9693,10211,10694,11196,11717,12243,12833,13389,13943,14519,15087,15672,16257,16840,17456,18117,18785,19487,
71950,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,4,5,6,7,8,8,10,11,14,21,26,36,43,54,60,68,79,86,94,106,118,133,152,173,193,223,254,274,303,328,362,394,434,469,510,561,603,671,725,785,857,930,1007,1088,1153,1243,1341,1452,1574,1682,1789,1908,2033,2164,2308,2449,2603,2769,2898,3067,3243,3398,3546,3742,3910,
71960,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,2,3,3,3,3,5,5,6,6,6,7,8,10,10,11,12,15,15,18,20,22,29,35,40,43,50,58,61,70,80,85,92,101,115,123,132,143,155,163,175,187,199,211,225,241,257,
71970,726,15425,64886,148985,254310,368416,483133,595031,700077,798328,888558,971544,1047534,1117243,1181863,1240703,1295548,1346046,1392708,1435909,1475874,1513145,1547688,1579834,1609954,1637838,1664241,1688985,1712387,1734612,1755858,1775455,1794132,1811904,1828651,1844573,1859668,1874364,1888250,1901497,1913899,1925861,1937185,1948091,1958846,1969072,1978703,1988119,1997094,2005852,2014039,2022045,2029745,2037078,2044225,2051236,2057912,2064442,2070571,2076631,2082441,2088166,2093689,2099013,2104187,2109051,2113921,2118659,2123180,2127656,2131995,2136136,2140228,2144070,2147887,2151523,2155231,2158813,2162342,2165749,2168983,2172268,2175361,2178513,2181526,2184463,2187395,2190195,2192889,2195554,2198147,2200774,2203284,2205725,2208176,2210529,2212878,2215117,2217394,2219518,2221608,2223772,2225744,2227767,2229734,2231641,2233491,2235386,2237273,2239111,2240859,2242630,2244320,2246029,2247666,2249348,2250948,2252514,2254022,
71980,11,910,8215,28826,66418,118498,181235,250619,324169,398403,471616,543060,612282,678446,741255,801319,857956,911821,962592,1010564,1056001,1099163,1139915,1178498,1214825,1249747,1282481,1313477,1342910,1370941,1397651,1423312,1447656,1470881,1493038,1514112,1534506,1553809,1572591,1590367,1607434,1623806,1639755,1654984,1669671,1683661,1697224,1710291,1722848,1735024,1746889,1758095,1769067,1779738,1789917,1799707,1809360,1818803,1827910,1836825,1845369,1853559,1861740,1869604,1877211,1884574,1891703,1898673,1905402,1912119,1918600,1924776,1930946,1936788,1942659,1948322,1953740,1959123,1964468,1969587,1974704,1979557,1984335,1988958,1993489,1997897,2002108,2006338,2010516,2014680,2018603,2022480,2026374,2030202,2033852,2037580,2041115,2044508,2047931,2051223,2054534,2057726,2060958,2063989,2067068,2069953,2072830,2075684,2078461,2081267,2083996,2086675,2089367,2091896,2094514,2096926,2099361,2101872,2104173,
71990,0,85,1467,7651,22112,46916,81086,123439,171881,224612,280036,336304,392779,449108,504069,557728,610014,660323,708739,755963,800516,843442,884827,923795,961443,997226,1031733,1064514,1096198,1126442,1155459,1183439,1209813,1235653,1260086,1284039,1306682,1328619,1349804,1370131,1389410,1408159,1426343,1443961,1460734,1477103,1492903,1508090,1522653,1536917,1550693,1564140,1577225,1589684,1601987,1613892,1625425,1636829,1647574,1657999,1668150,1677967,1687709,1697198,1706281,1715246,1723828,1732194,1740342,1748340,1756336,1763881,1771234,1778440,1785540,1792472,1799131,1805739,1812150,1818313,1824408,1830386,1836312,1842091,1847744,1853182,1858554,1863885,1869207,1874348,1879352,1884315,1889027,1893569,1898162,1902640,1907095,1911472,1915751,1919838,1923771,1927793,1931746,1935565,1939493,1943183,1946856,1950510,1954112,1957617,1961108,1964520,1967686,1970968,1974228,1977361,1980542,1983552,1986438,
72000,0,1,128,1050,4510,12043,24944,43651,68025,97121,130179,166165,204498,244555,285671,326883,368472,409418,450281,490455,529984,568444,606263,642897,678534,713320,747197,779625,811075,841643,871289,899848,927460,954078,979961,1005174,1029319,1053045,1075619,1097560,1118819,1139382,1159312,1178543,1197404,1215835,1233845,1251010,1267685,1283991,1299482,1314729,1329639,1344061,1357931,1371559,1384804,1397584,1410298,1422425,1434322,1445869,1457288,1468477,1479260,1489783,1500018,1509994,1520070,1529626,1539148,1548379,1557204,1565611,1574117,1582385,1590565,1598497,1606133,1613919,1621365,1628870,1636152,1643257,1650030,1656952,1663562,1670095,1676417,1682621,1688777,1694694,1700668,1706349,1711992,1717546,1723114,1728390,1733626,1738852,1743973,1748861,1753696,1758609,1763378,1767914,1772377,1776839,1781238,1785750,1790112,1794342,1798499,1802539,1806578,1810506,1814448,1818322,1822169,
72010,0,0,2,66,373,1416,3929,8602,15815,26072,38972,54763,73123,93949,116752,141292,167330,193956,221968,250688,279483,308005,336854,365819,394230,422614,450487,478239,505666,532707,559183,585360,610782,635597,660002,683770,707227,730134,752293,774293,795783,816593,837017,857020,876446,895343,913914,932266,949884,967207,983683,1000139,1016125,1031829,1046847,1061798,1076566,1090949,1104836,1118413,1131689,1144769,1157441,1169949,1182229,1194290,1205857,1217264,1228688,1239751,1250732,1261397,1271864,1282022,1291882,1301599,1311235,1320715,1329825,1338810,1347629,1356083,1364595,1372867,1381012,1389115,1397184,1404942,1412530,1419958,1427544,1434654,1441815,1448820,1455641,1462246,1468849,1475354,1481815,1488114,1494273,1500262,1506281,1512273,1518099,1523834,1529474,1534985,1540514,1545923,1551183,1556343,1561517,1566564,1571508,1576387,1581355,1586089,1590964,
72020,0,0,0,10,62,310,1075,2661,5509,9941,16369,24748,34992,47349,61415,77282,94444,113209,132994,153841,175481,197588,220291,243565,267077,290301,313857,337216,360384,383647,406714,429512,452163,474537,496821,518643,540152,561618,582547,602896,623025,642760,662214,681363,699992,718466,736343,753702,770921,788039,804669,821046,837061,852791,868015,883055,897765,912082,926031,939828,953417,966750,979776,992474,1004973,1017507,1029599,1041492,1053131,1064654,1076035,1086986,1097739,1108517,1118766,1129106,1139017,1149180,1158991,1168638,1178124,1187207,1196229,1205206,1214118,1222770,1231251,1239503,1247733,1255900,1263912,1271765,1279450,1286999,1294480,1301762,1308960,1316050,1322868,1329795,1336588,1343362,1350049,1356491,1362841,1369004,1375065,1381204,1387207,1393305,1399136,1404897,1410524,1416058,1421568,1427079,1432435,1437686,1442888,
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72940,0,0,0,0,2,24,109,373,1009,2023,3591,5925,9068,13173,18118,24118,31067,38746,47581,56931,66979,77769,89022,100836,113342,126043,138893,152167,165625,179166,192737,206424,220130,233845,247667,261435,275182,288986,302317,315680,329219,342338,355439,368345,381237,393848,406448,418802,430989,442893,454665,466504,478076,489469,500484,511606,522375,533072,543447,553757,563847,573802,583743,593572,603079,612403,621601,630729,639777,648506,657054,665518,673731,681953,689985,697878,705563,713387,720935,728428,735877,742986,750064,757194,764295,771084,777943,784582,791090,797466,803904,810050,816065,822038,828013,833678,839305,845031,850673,856138,861522,866927,872151,877271,882459,887628,892633,897433,902340,907068,911875,916590,921230,925720,930178,934580,939001,943369,947776,
72950,0,0,0,0,0,2,14,48,141,386,824,1566,2591,4043,5957,8399,11402,15046,19242,24012,29360,35192,41654,48430,55738,63552,71503,80074,88702,97843,106973,116395,126014,135840,145878,155946,166240,176394,186522,196867,207210,217474,227610,237906,248034,258279,268403,278522,288566,298503,308255,317971,327572,337175,346590,355872,365183,374394,383501,392661,401537,410335,419082,427697,436288,444837,453172,461319,469506,477322,485193,493058,500949,508551,516081,523569,530950,538079,545074,552161,559110,565993,572718,579340,585948,592393,598630,604837,611098,617171,623229,629151,635104,640908,646611,652310,657934,663492,668938,674412,679608,684844,689948,695020,700157,705249,710276,715029,719837,724638,729414,734182,738694,743231,747591,752038,756443,760753,765089,
72960,0,0,0,0,0,0,1,12,33,103,266,527,969,1654,2539,3780,5321,7255,9675,12401,15557,19075,23211,27647,32451,37685,43245,49058,55241,61637,68308,75443,82560,90010,97668,105343,113195,121321,129418,137487,145806,154169,162577,170921,179281,187708,195999,204373,212900,221286,229737,238117,246484,254893,263133,271152,279404,287524,295549,303492,311344,319213,326931,334600,342314,349934,357393,364783,372232,379366,386680,393849,400965,408146,415032,421892,428716,435314,441849,448468,454967,461441,467662,473765,479876,485948,491998,497875,503775,509631,515375,520869,526479,532060,537473,542856,548200,553393,558637,563879,569037,574091,578965,583864,588855,593693,598547,603248,608040,612579,617169,621690,626078,630615,635035,639385,643641,647742,651990,
72970,0,0,0,0,0,0,0,2,7,27,60,121,265,488,838,1357,2035,2952,4144,5547,7213,9190,11465,13987,16975,20057,23480,27143,30916,35192,39631,44261,49300,54562,59971,65478,71053,76965,82917,88931,95274,101599,107930,114425,121027,127611,134420,141065,147850,154636,161420,168172,175078,181898,188754,195669,202407,209118,215917,222620,229311,235992,242600,249100,255797,262313,268767,275285,281796,288096,294392,300638,306786,313011,319136,325273,331208,337202,343058,348792,354567,360376,366094,371800,377370,383090,388602,394066,399337,404735,409890,415216,420441,425510,430659,435788,440701,445567,450367,455242,460039,464904,469572,474140,478721,483383,487738,492202,496561,500914,505323,509517,513781,517973,522187,526371,530476,534443,538443,
72980,0,0,0,0,0,0,0,0,1,2,9,22,63,127,236,418,674,999,1498,2084,2774,3690,4736,6021,7421,9081,10924,12901,15164,17624,20214,23039,26061,29149,32475,35992,39690,43578,47488,51591,55912,60399,64852,69423,74161,78976,83837,88751,93824,98892,103933,109085,114283,119395,124509,129708,134947,140358,145785,151083,156446,161739,167215,172532,177800,183124,188454,193622,199000,204151,209525,214715,219854,225142,230318,235464,240642,245738,250722,255851,260970,265952,270973,276018,280923,285615,290398,295125,299898,304601,309298,313966,318519,323073,327582,332009,336493,340874,345330,349658,353892,358184,362497,366727,370958,375033,379103,383149,387152,391219,395273,399256,403162,407025,410827,414745,418492,422241,425978,
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73000,0,0,0,0,0,0,0,0,0,0,0,0,0,3,6,14,21,36,66,103,157,223,330,477,666,861,1126,1442,1827,2281,2814,3362,3938,4652,5464,6332,7298,8334,9442,10761,12129,13536,15027,16573,18191,19864,21645,23492,25343,27327,29333,31289,33523,35741,38048,40336,42610,44993,47522,50054,52512,55101,57626,60206,62928,65595,68363,71155,73952,76790,79631,82557,85351,88181,91017,93988,96937,99957,102943,105884,108778,111780,114827,117741,120699,123667,126630,129709,132602,135554,138572,141572,144538,147544,150450,153360,156277,159255,162207,165176,168097,171021,173880,176712,179572,182429,185283,188049,190783,193712,196551,199294,202012,204782,207558,210363,213011,215714,218369,
73010,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,6,10,16,26,38,61,95,152,212,308,406,515,656,828,1016,1265,1544,1861,2219,2627,3070,3577,4115,4717,5300,5998,6718,7503,8326,9186,10092,11071,12147,13214,14350,15471,16675,17916,19242,20569,21952,23400,24862,26344,27952,29506,31162,32834,34495,36234,38066,39913,41736,43535,45330,47189,49134,51061,53053,55050,57122,59100,61178,63192,65157,67303,69365,71456,73550,75666,77797,79961,82096,84292,86402,88677,90852,93039,95247,97368,99466,101699,103867,106028,108220,110433,112553,114739,116927,119079,121287,123465,125686,127827,130108,132297,134566,136642,138874,141006,143176,145384,
73020,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,9,13,22,37,49,68,94,125,173,232,293,376,483,601,735,864,1043,1251,1464,1731,1996,2260,2575,2908,3251,3686,4100,4563,5063,5549,6090,6613,7200,7824,8468,9108,9816,10548,11327,12114,12980,13859,14756,15669,16670,17647,18625,19639,20697,21721,22780,23883,24997,26109,27260,28436,29660,30834,32076,33316,34589,35836,37093,38377,39657,40964,42307,43745,45121,46521,47929,49376,50796,52248,53687,55237,56744,58132,59561,61057,62586,64063,65567,67063,68534,70009,71513,73053,74545,76099,77572,79107,80639,82142,83661,85197,
73030,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,7,13,18,26,31,46,61,76,98,123,155,201,244,294,357,409,486,566,654,764,861,970,1102,1258,1412,1584,1749,1957,2161,2387,2648,2913,3178,3460,3752,4053,4387,4727,5063,5424,5818,6197,6599,7011,7482,7966,8457,8924,9481,10010,10556,11082,11658,12203,12757,13344,13936,14563,15182,15816,16487,17119,17748,18465,19164,19861,20605,21340,22069,22799,23579,24343,25096,25882,26684,27498,28323,29189,30071,30867,31745,32626,33463,34349,35286,36137,37037,38000,38933,39845,
73040,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,3,7,9,15,18,23,27,37,48,57,68,84,99,127,146,160,188,229,260,296,323,360,405,455,504,588,658,734,803,877,967,1054,1143,1235,1329,1460,1592,1741,1905,2043,2191,2314,2480,2633,2778,2945,3124,3280,3475,3677,3879,4092,4296,4532,4772,5001,5237,5509,5779,6028,6278,6559,6871,7150,7443,7711,8028,8408,8738,9070,9381,9724,10050,10421,10798,11162,11527,11860,12251,
73051,1755,24649,87673,181707,291607,405750,516430,620814,717446,806781,888035,962324,1030140,1091797,1148324,1200362,1248050,1291819,1332688,1370285,1405801,1438334,1468373,1496818,1523289,1548080,1571271,1593207,1614080,1633473,1651848,1669161,1685658,1701225,1715993,1729894,1743270,1756146,1768325,1779893,1791156,1801870,1812294,1822076,1831451,1840312,1848991,1857337,1865365,1873085,1880449,1887539,1894392,1900923,1907328,1913545,1919651,1925453,1931091,1936445,1941760,1946877,1951801,1956608,1961357,1965922,1970356,1974678,1978799,1982896,1986796,1990716,1994500,1998091,2001665,2005137,2008578,2011936,2015253,2018420,2021496,2024654,2027516,2030449,2033158,2036007,2038711,2041259,2043758,2046365,2048906,2051227,2053621,2055905,2058172,2060456,2062638,2064710,2066800,2068925,2070922,2072915,2074880,2076806,2078669,2080611,2082401,2084173,2085891,2087603,2089241,2090854,2092433,2093967,2095473,2096991,2098445,2099898,2101309,
73060,58,2496,15881,47228,96070,157219,225943,298069,371447,443107,512561,578935,641294,701003,757042,809540,859073,905654,949617,990719,1029266,1066176,1100900,1133471,1164096,1193329,1221261,1247251,1272181,1296006,1318681,1339933,1360177,1379569,1398093,1416182,1433005,1449093,1464633,1479761,1494179,1508037,1521288,1533899,1546139,1557786,1569160,1580004,1590491,1600734,1610510,1619851,1629087,1637979,1646630,1655058,1662949,1670844,1678491,1685890,1693012,1700000,1706693,1713323,1719812,1725873,1731758,1737686,1743377,1748946,1754270,1759561,1764661,1769783,1774684,1779504,1784361,1789052,1793620,1797943,1802212,1806369,1810410,1814354,1818200,1821907,1825559,1829147,1832798,1836272,1839661,1843075,1846359,1849553,1852731,1855855,1858965,1861853,1864743,1867624,1870413,1873215,1875926,1878633,1881255,1883818,1886302,1888773,1891206,1893624,1896077,1898351,1900534,1902737,1904987,1907119,1909251,1911313,1913381,
73070,3,410,4344,16754,40290,75283,119040,168212,221474,276631,332805,388221,442649,495240,545886,594461,641240,685954,728530,769087,807722,844391,879163,912560,944526,974688,1003499,1030752,1056798,1081665,1105899,1128870,1150735,1171853,1192068,1211041,1229702,1247527,1264685,1281223,1297052,1312464,1327159,1341325,1355119,1368263,1381032,1393298,1405114,1416542,1427694,1438244,1448631,1458810,1468680,1478160,1487320,1496171,1504767,1513197,1521468,1529528,1537324,1544785,1552322,1559428,1566344,1573279,1579882,1586408,1592674,1598831,1604934,1610683,1616441,1621987,1627534,1633000,1638082,1643156,1648200,1653097,1657896,1662491,1667066,1671548,1676097,1680335,1684571,1688706,1692828,1696766,1700642,1704436,1708162,1711758,1715382,1718959,1722385,1725700,1729045,1732298,1735523,1738746,1741777,1744751,1747698,1750723,1753507,1756274,1759047,1761795,1764495,1767085,1769689,1772315,1774863,1777371,1779752,
73080,0,23,697,3863,12019,26560,48012,75307,107631,143662,182387,222357,263411,304741,345609,386314,426001,464579,501677,538108,573457,607403,640495,672084,702554,731881,760095,787419,813499,838731,863222,886717,909385,931143,952070,972053,991458,1010282,1028426,1046017,1062879,1079254,1095082,1110419,1125278,1139724,1153707,1167405,1180317,1193140,1205239,1217192,1228830,1240066,1251145,1261665,1272006,1281986,1291513,1301157,1310434,1319537,1328293,1336685,1344878,1353022,1360983,1368704,1376438,1383932,1391141,1398197,1404992,1411743,1418097,1424565,1430955,1437074,1443161,1448988,1454903,1460514,1465989,1471293,1476523,1481694,1486860,1491840,1496796,1501523,1506279,1510906,1515422,1519832,1524210,1528523,1532730,1536860,1540976,1544963,1548733,1552657,1556362,1560084,1563753,1567519,1571001,1574495,1577908,1581365,1584661,1587973,1591148,1594392,1597579,1600704,1603647,1606599,1609407,
73090,0,1,46,434,2037,5787,12713,23102,37139,54690,74984,98010,122701,149171,176796,204979,233368,261963,290965,319889,348319,376441,403494,429990,456135,481971,507414,531834,555522,578701,601428,623608,645074,665710,685945,705722,724913,743219,761302,778766,795852,812382,828375,844071,859235,874104,888598,902495,916160,929532,942408,954849,967085,978954,990569,1001704,1012748,1023661,1034269,1044691,1054885,1064850,1074314,1083576,1092570,1101458,1110146,1118662,1127038,1135180,1143346,1151153,1158820,1166281,1173517,1180721,1187871,1194689,1201497,1208229,1214680,1221072,1227288,1233361,1239412,1245165,1250985,1256702,1262300,1267809,1273128,1278317,1283449,1288456,1293366,1298268,1303055,1307780,1312519,1317049,1321482,1325972,1330473,1334822,1339056,1343261,1347267,1351342,1355369,1359285,1363199,1367086,1370739,1374345,1377848,1381352,1384914,1388352,1391811,
73100,0,0,10,105,606,2063,5132,10342,18015,28221,40986,55995,73070,92063,111926,132921,154951,177597,200428,223924,247377,270703,294089,317074,339854,362480,384601,406314,428093,449195,469923,490400,510304,529910,548608,567381,585451,603173,620509,637312,653786,669840,685573,700936,715874,730331,744470,758046,771471,784651,797413,810079,822361,834481,846124,857545,868630,879553,890167,900718,910883,920764,930518,940120,949512,958810,967712,976540,985058,993344,1001686,1009670,1017752,1025449,1033098,1040504,1047800,1055030,1062021,1068918,1075751,1082314,1088925,1095254,1101614,1107737,1113686,1119678,1125525,1131158,1136754,1142067,1147578,1152983,1158435,1163663,1168593,1173447,1178365,1183189,1188074,1192773,1197487,1201910,1206384,1210724,1215135,1219354,1223480,1227665,1231645,1235745,1239752,1243632,1247462,1251190,1254909,1258654,1262242,
73110,0,0,1,19,123,525,1606,3700,7240,12284,19048,27419,37710,49573,62664,76679,91973,108307,125255,142856,160567,178720,197436,216239,235109,253870,272621,291363,309935,328299,346410,364033,381482,398637,415667,432252,448659,464815,480783,496382,511769,526641,541234,555573,569596,583339,596925,609991,623131,635861,648291,660298,672352,684136,695361,706701,717481,728194,738619,748841,758797,768742,778494,788099,797510,806734,815803,824685,833226,841739,850012,858193,866183,873990,881646,889166,896702,904005,911258,918304,925190,932066,938739,945294,951783,958214,964417,970409,976577,982540,988424,994100,999705,1005270,1010799,1016282,1021542,1026716,1031820,1036861,1041858,1046790,1051595,1056431,1061097,1065628,1070171,1074775,1079129,1083591,1087881,1092098,1096343,1100448,1104390,1108344,1112375,1116193,1119968,
73120,0,0,0,3,17,95,364,1035,2234,4234,7161,11049,16062,22210,29454,37720,47016,57224,68379,79830,92316,105080,118301,131965,145936,160035,174302,188909,203493,217895,232263,246818,261300,275576,289800,304037,317912,331741,345346,358846,372172,385589,398464,411261,423951,436255,448568,460676,472483,484191,495663,506887,518041,528866,539601,550085,560456,570763,580790,590677,600496,610064,619480,628762,637831,646607,655547,663990,672247,680540,688779,696733,704730,712656,720260,727764,735196,742329,749420,756373,763174,769967,776614,783094,789698,795962,802165,808461,814433,820426,826336,832120,837756,843288,848765,854262,859590,864973,870194,875318,880475,885496,890500,895368,900165,905015,909694,914287,918749,923162,927590,931942,936258,940486,944608,948764,952868,956893,960869,
73130,0,0,0,0,2,6,47,175,464,988,1924,3330,5340,7951,11178,15155,19743,25102,31137,37767,44947,52644,60826,69618,78515,87915,97625,107496,117609,128007,138715,149323,160217,170981,181733,192720,203616,214558,225500,236466,247217,257883,268530,278983,289597,299927,310314,320499,330665,340723,350685,360553,370154,379735,389150,398420,407781,416850,425832,434838,443579,452363,461049,469404,477705,485972,493984,501848,509704,517472,524993,532515,540024,547371,554463,561426,568549,575545,582159,588860,595473,601925,608317,614747,620998,627012,633079,639008,644858,650509,656342,661826,667501,673098,678511,683862,689226,694433,699585,704674,709645,714675,719454,724226,729051,733694,738335,742945,747632,752202,756621,761007,765352,769611,773760,777963,782016,786047,790055,
73140,0,0,0,0,0,6,17,58,141,357,736,1343,2234,3525,5205,7418,9953,13128,16730,20818,25417,30434,35916,41868,48190,54906,62016,69404,77112,84886,93028,101312,109700,118240,126947,135774,144718,153633,162573,171710,180830,189776,198852,207661,216546,225391,234217,243057,252021,260713,269292,277966,286548,295058,303543,311954,320207,328529,336564,344568,352515,360397,368124,375813,383495,390926,398219,405624,412927,420008,427093,434055,440872,447568,454394,461109,467766,474098,480390,486814,492963,499156,505271,511191,517295,523197,529014,534657,540327,545976,551430,556949,562389,567667,572999,578327,583436,588546,593602,598598,603536,608403,613150,617843,622447,627103,631567,636021,640348,644793,649151,653473,657766,661973,665929,670104,674151,678231,682189,
73150,0,0,0,0,0,0,1,9,35,81,209,454,832,1383,2131,3138,4459,6106,8012,10390,13060,15986,19408,23127,27147,31638,36298,41286,46558,51990,57664,63697,69741,76049,82440,88899,95645,102475,109246,116407,123334,130435,137633,144867,152119,159473,166623,173780,181170,188486,195742,203005,210156,217545,224672,231803,238993,245900,252788,259643,266450,273232,279978,286892,293560,300313,306930,313611,320371,326768,333098,339421,345677,351896,358111,364299,370303,376333,382167,388031,393695,399330,404923,410589,416069,421577,426977,432468,437724,442763,447913,453005,458080,463031,468042,473030,477741,482484,487172,491868,496487,501005,505568,510031,514388,518687,523057,527402,531609,535793,540004,544141,548189,552170,556097,560089,563921,567786,571704,
73160,0,0,0,0,0,0,0,2,7,20,53,113,217,403,674,1024,1600,2281,3194,4291,5543,7033,8735,10693,12933,15482,18184,21100,24376,27883,31433,35201,39291,43547,47927,52421,57142,61925,66846,71913,77007,82307,87640,92987,98336,103810,109302,114924,120454,126077,131829,137581,143410,149266,154990,160834,166754,172443,178152,183866,189433,195122,200749,206391,211864,217423,222937,228566,234012,239443,244901,250503,255895,261298,266695,271976,277133,282209,287454,292644,297814,302868,307825,312696,317626,322443,327294,332142,336789,341511,346196,350842,355481,359998,364469,368950,373295,377681,381941,386379,390608,394787,398968,403083,407109,411103,415122,419071,423109,426958,430753,434651,438503,442190,445976,449697,453414,456974,460532,
73170,0,0,0,0,0,0,0,0,0,2,5,13,32,76,145,245,400,629,930,1361,1872,2478,3267,4163,5191,6360,7663,9166,10820,12626,14628,16714,19066,21368,24033,26705,29562,32499,35593,38811,42277,45610,49202,52744,56482,60350,64206,68126,72080,76075,80199,84375,88569,92805,97098,101456,105681,110006,114278,118675,122985,127435,131895,136344,140850,145356,149690,154082,158469,162847,167044,171452,175701,179997,184341,188589,192800,197111,201325,205550,209869,214052,218217,222383,226394,230470,234633,238674,242724,246771,250751,254705,258727,262704,266560,270402,274130,277978,281796,285562,289292,293018,296698,300316,303950,307460,310948,314596,318054,321611,324968,328305,331679,335048,338483,341814,345088,348473,351770,
73180,0,0,0,0,0,0,0,0,0,0,0,0,4,11,20,41,73,136,207,324,479,678,924,1218,1591,2013,2561,3140,3797,4583,5479,6492,7524,8643,9878,11201,12594,14090,15775,17555,19383,21178,23136,25140,27290,29446,31658,34066,36536,39084,41580,44208,46868,49583,52357,55081,57891,60711,63652,66703,69771,72759,75825,78965,82117,85235,88364,91514,94719,97894,101057,104304,107618,110854,114065,117200,120410,123689,126941,130045,133340,136559,139794,142882,146083,149273,152450,155590,158815,162115,165296,168456,171486,174660,177784,180933,183987,187115,190193,193248,196219,199276,202246,205293,208250,211173,214210,217209,220187,223038,225954,228872,231863,234707,237558,240466,243362,246159,248883,
73190,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,9,19,31,45,78,131,193,284,384,527,690,896,1141,1451,1769,2149,2574,3098,3665,4263,4949,5628,6395,7165,8048,9025,10039,11078,12232,13477,14711,15949,17373,18810,20190,21687,23264,24817,26544,28314,30090,31897,33755,35639,37622,39506,41545,43370,45389,47481,49536,51594,53758,55919,58125,60321,62619,64934,67210,69456,71696,73957,76273,78568,80925,83224,85598,88143,90499,92844,95308,97616,100121,102481,104842,107211,109672,112067,114487,116852,119236,121675,124030,126412,128873,131252,133623,135930,138337,140773,143157,145517,147847,150178,152504,154865,157228,159466,161772,164008,166235,168466,170741,
73200,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,12,19,29,48,78,111,153,201,268,344,446,576,724,908,1073,1290,1513,1775,2083,2430,2807,3203,3640,4099,4582,5080,5664,6280,6906,7604,8267,8986,9751,10622,11442,12294,13199,14114,15129,16174,17193,18284,19335,20482,21591,22745,23937,25149,26402,27653,28931,30249,31577,32978,34319,35743,37207,38600,40021,41496,42923,44436,45958,47442,48928,50562,52116,53677,55222,56859,58509,60109,61822,63412,65024,66662,68313,70003,71655,73274,74893,76546,78155,79879,81575,83300,84930,86631,88357,90014,91698,93435,95124,96774,98468,100127,101796,103454,
73210,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,8,9,13,17,24,43,53,74,98,124,161,208,274,334,386,461,535,621,731,862,996,1151,1306,1478,1672,1876,2096,2315,2572,2847,3158,3453,3799,4131,4499,4888,5261,5706,6112,6565,7051,7505,8000,8498,9050,9581,10156,10736,11335,11967,12627,13294,13951,14625,15350,16093,16758,17487,18242,19037,19775,20584,21369,22171,23007,23821,24708,25554,26407,27297,28158,29054,29981,30907,31848,32759,33725,34686,35588,36513,37529,38541,39506,40508,41562,42543,43591,44584,45637,46648,47738,48778,49855,50915,
73220,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,5,9,15,22,23,29,34,52,66,81,94,104,124,141,165,189,223,258,301,340,391,435,478,531,605,670,743,836,933,1037,1137,1249,1357,1495,1615,1764,1923,2054,2231,2396,2559,2720,2909,3128,3341,3513,3723,3956,4224,4419,4673,4911,5175,5456,5757,6064,6334,6642,6922,7219,7505,7782,8096,8430,8777,9113,9462,9807,10187,10561,10949,11320,11726,12151,12562,12947,13365,13766,14222,14640,15070,15534,15987,16442,
73233,3150,34073,107911,210494,323946,438441,547554,649186,742706,827944,905264,975799,1039476,1097503,1150349,1198828,1243714,1284912,1323331,1358839,1391538,1422110,1450539,1477243,1501978,1525112,1546941,1567693,1587072,1605320,1622372,1638859,1654456,1669344,1683736,1697237,1710006,1722220,1733769,1744690,1755252,1765535,1775298,1784569,1793595,1802392,1810817,1818823,1826622,1834080,1841163,1848091,1854602,1861059,1867326,1873451,1879234,1884908,1890427,1895720,1900910,1905938,1910697,1915424,1919994,1924466,1928815,1933126,1937202,1941172,1945102,1948798,1952471,1955973,1959550,1963080,1966379,1969734,1972896,1976055,1979123,1982049,1984924,1987745,1990601,1993250,1995787,1998410,2000952,2003446,2005860,2008298,2010662,2013037,2015235,2017383,2019566,2021711,2023777,2025789,2027808,2029745,2031689,2033557,2035445,2037230,2039025,2040743,2042465,2044166,2045833,2047500,2049094,2050667,2052213,2053791,2055252,2056749,2058270,
73240,147,4574,23866,62926,118888,186279,258632,332960,406869,477647,545422,609710,670462,727283,780786,830725,877425,921818,963037,1001684,1038090,1072633,1104973,1135172,1163903,1191147,1216995,1241595,1264815,1286882,1307805,1327581,1346588,1364946,1382145,1398715,1414611,1429959,1444604,1458790,1472081,1484952,1497235,1509218,1520632,1531722,1542352,1552639,1562621,1572138,1581412,1590408,1599007,1607435,1615370,1623376,1631124,1638458,1645688,1652617,1659359,1665803,1672212,1678568,1684686,1690536,1696438,1702118,1707771,1713237,1718348,1723372,1728230,1733117,1737890,1742597,1747077,1751471,1755825,1759971,1764122,1768118,1772093,1775947,1779708,1783337,1786996,1790521,1793897,1797334,1800695,1803858,1807079,1810212,1813301,1816322,1819303,1822208,1825096,1827837,1830502,1833228,1835813,1838351,1840991,1843463,1845905,1848296,1850648,1852926,1855198,1857449,1859684,1861866,1864082,1866201,1868274,1870347,1872296,
73250,14,919,7458,25414,55528,96914,146100,200054,256643,313919,370529,425913,479733,531279,580505,627303,672302,714700,755124,793733,829869,864578,897160,928379,958243,986401,1013370,1039095,1063502,1086761,1109087,1130370,1150886,1170394,1189109,1207086,1224321,1241120,1257123,1272607,1287365,1301597,1315421,1328851,1341548,1353766,1365641,1377121,1388198,1399047,1409410,1419587,1429364,1438865,1448149,1457052,1465730,1474285,1482475,1490479,1498211,1505766,1512948,1520079,1527127,1533826,1540283,1546802,1553074,1559053,1565237,1571084,1576702,1582214,1587480,1592702,1597949,1602927,1607821,1612758,1617493,1622145,1626679,1631179,1635520,1639752,1643943,1647887,1651855,1655777,1659668,1663480,1667176,1670769,1674335,1677911,1681351,1684721,1688020,1691219,1694407,1697498,1700687,1703665,1706657,1709541,1712404,1715223,1718096,1720771,1723434,1726072,1728668,1731209,1733714,1736258,1738741,1741051,1743461,
73260,1,114,1479,6932,19028,38812,65301,97873,134364,173796,215306,257512,299849,341675,382772,423244,462548,500632,537120,572693,606810,639593,670911,701082,730049,757933,785026,810724,835732,859516,882558,904629,925643,945802,965354,984384,1002638,1020161,1037110,1053290,1069168,1084608,1099485,1113854,1127433,1140967,1153876,1166422,1178532,1190319,1201784,1212846,1223636,1234095,1244359,1254404,1264046,1273416,1282564,1291557,1300103,1308544,1316749,1324774,1332500,1340134,1347672,1354961,1362170,1369015,1375617,1382307,1388723,1395035,1401111,1407032,1412989,1418921,1424542,1430079,1435413,1440579,1445702,1450790,1455896,1460675,1465360,1470091,1474706,1479086,1483674,1488024,1492206,1496446,1500508,1504604,1508576,1512464,1516305,1520086,1523762,1527456,1530975,1534562,1537918,1541285,1544635,1547986,1551360,1554590,1557711,1560832,1563785,1566747,1569757,1572677,1575493,1578317,1581022,
73270,0,1,141,1066,4017,10266,20520,34738,52645,74137,98383,124626,152356,181451,210892,240857,270852,300410,329829,358808,387404,415000,442051,468354,494367,519369,544086,567798,590360,612835,634510,655495,675931,695661,714624,733465,751414,768918,785692,802082,818167,833690,848731,863552,877692,891507,905044,918328,931192,943821,955831,967776,979192,990357,1001337,1012170,1022592,1032812,1042694,1052303,1061531,1070779,1079507,1088057,1096540,1105014,1113159,1121068,1128886,1136356,1143805,1151024,1158116,1165154,1172157,1178794,1185449,1191870,1198283,1204378,1210392,1216427,1222309,1228045,1233600,1239013,1244447,1249669,1254794,1259912,1264943,1269811,1274683,1279483,1284111,1288773,1293255,1297680,1302023,1306481,1310661,1314841,1318891,1323029,1326855,1330737,1334543,1338320,1342042,1345760,1349382,1352923,1356494,1359904,1363304,1366688,1369911,1373246,1376383,
73280,0,1,35,287,1350,4038,9079,16961,27703,41260,57315,75416,95451,116696,139545,162786,186754,210961,235438,260027,284025,308179,332006,355320,378324,401084,423421,445079,466274,487129,507340,526914,546192,564932,583351,601068,618391,635255,651639,667838,683637,698833,713723,728305,742417,756213,769396,782351,795019,807463,819409,831167,842821,854280,865411,876028,886521,896702,906707,916496,926013,935449,944647,953721,962533,971172,979717,987903,995930,1003864,1011735,1019228,1026653,1034042,1041067,1048040,1054918,1061634,1068300,1074894,1081268,1087486,1093600,1099486,1105364,1111218,1116879,1122396,1127703,1133105,1138397,1143419,1148404,1153445,1158307,1163137,1167857,1172532,1177239,1181674,1186124,1190660,1194959,1199191,1203468,1207632,1211688,1215636,1219532,1223491,1227340,1231163,1234827,1238504,1242107,1245672,1249183,1252591,1256104,
73290,0,0,6,71,384,1267,3208,6834,12245,19832,29167,40486,53287,67785,83382,100228,117844,136036,154612,173670,193344,212795,232324,251942,271372,290595,309619,328513,347034,365212,383235,401099,418341,435278,452026,468826,484830,500570,516108,531476,546431,560830,574990,588587,602122,615534,628462,641065,653406,665334,677224,688645,700035,711120,722066,732913,743345,753317,763238,772927,782552,792023,800990,810221,819112,827779,836298,844598,852679,860533,868366,876164,883640,890882,898010,905198,912094,918949,925702,932188,938489,944989,951281,957530,963631,969555,975445,981220,986876,992444,997893,1003218,1008490,1013732,1018826,1023848,1028797,1033750,1038507,1043356,1048013,1052574,1057212,1061750,1066144,1070428,1074795,1078948,1083114,1087168,1091259,1095120,1098915,1102833,1106527,1110304,1114022,1117642,1121240,
73300,0,0,0,6,54,263,908,2224,4328,7590,12210,17947,25008,33234,42647,53175,64631,76827,89679,103397,117538,132031,146830,161882,176966,192014,207213,222558,237762,252925,268019,282874,297902,312620,327024,341421,355530,369509,382977,396312,409609,422798,435607,448219,460563,472997,484819,496754,508419,519860,530943,541719,552538,562997,573250,583457,593607,603422,613121,622431,631631,640783,649730,658431,666912,675409,683775,692012,700160,708200,716056,723675,731129,738546,745667,752772,759686,766576,773267,779835,786403,792857,799116,805217,811264,817331,823235,829096,834807,840325,845916,851357,856810,862056,867297,872381,877466,882398,887274,892116,897073,901900,906549,911196,915793,920218,924598,928868,933097,937321,941611,945723,949799,953748,957705,961701,965514,969277,972984,
73310,0,0,0,0,6,33,157,495,1087,2125,3830,6061,9187,12989,17681,23215,29675,36536,44166,52429,61278,70644,80568,90626,101144,111904,122707,133683,145018,156374,167946,179247,190768,202311,213872,225243,236600,247883,258993,270174,281256,292355,303145,314141,324880,335411,345993,356374,366672,376637,386570,396168,405683,415168,424320,433490,442450,451406,460229,468994,477602,486198,494640,502833,510921,518895,526648,534438,542222,549692,557037,564309,571497,578448,585372,592154,598824,605429,611934,618385,624684,630985,637211,643368,649151,655013,660926,666619,672231,677866,683412,688771,694056,699405,704541,709661,714755,719716,724646,729462,734227,738928,743640,748141,752539,756988,761402,765668,770052,774318,778587,782745,786704,790683,794744,798675,802598,806374,810092,
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73540,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,6,9,12,26,41,62,108,152,196,265,366,474,618,801,995,1208,1478,1804,2189,2572,3004,3490,4029,4553,5176,5891,6634,7430,8286,9125,10048,10994,12062,13139,14312,15472,16661,17969,19295,20701,22147,23637,25170,26798,28410,29991,31627,33338,35087,36846,38600,40417,42260,44088,45934,47780,49725,51657,53654,55707,57681,59614,61587,63602,65688,67812,69922,71966,74052,76110,78173,80271,82303,84377,86489,88568,90635,92725,94817,96912,99003,101071,103222,105364,107493,109559,111589,113744,115777,117850,119878,121885,123938,126010,127894,129840,131819,133724,
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73560,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,9,15,20,31,50,76,94,127,163,206,249,310,367,447,529,633,751,880,1052,1224,1399,1610,1868,2107,2392,2672,2981,3300,3649,4023,4381,4798,5220,5710,6193,6700,7206,7782,8340,8943,9527,10167,10806,11487,12129,12860,13571,14354,15088,15849,16652,17475,18272,19136,20036,20893,21805,22725,23648,24535,25524,26496,27474,28459,29409,30442,31424,32396,33369,34400,35451,36500,37548,38692,39802,40904,42034,43054,44091,45212,46314,47403,48509,49649,50733,51844,52948,54053,55236,56278,
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74420,0,0,0,0,1,4,30,93,265,577,1120,1941,3096,4645,6600,8932,11646,14894,18372,22347,26575,31136,36027,41145,46518,52064,57845,63679,69775,75936,82185,88534,94898,101280,107702,114143,120661,127260,133622,140241,146676,153177,159750,166032,172237,178469,184624,190740,196719,202644,208581,214415,220164,225975,231666,237190,242803,248231,253661,259109,264321,269445,274509,279539,284581,289507,294313,298949,303649,308252,312782,317188,321589,326068,330458,334721,338930,343096,347174,351125,355083,359061,362894,366730,370545,374184,377903,381471,385062,388600,391987,395342,398626,401897,405097,408267,411409,414573,417687,420630,423575,426515,429459,432238,435017,437884,440581,443265,445918,448586,451258,453903,456431,458888,461374,463667,466148,468484,470848,
74430,0,0,0,0,0,2,10,26,74,160,355,677,1147,1813,2688,3852,5259,7000,8979,11331,13838,16614,19634,22900,26359,29976,33690,37673,41834,46249,50855,55480,60117,64964,69747,74505,79473,84493,89541,94552,99626,104784,109828,114866,119888,124982,130038,135102,140139,145071,150004,154765,159668,164566,169488,174122,178819,183604,188247,192848,197335,201787,206132,210481,214770,218924,223158,227499,231642,235683,239688,243748,247733,251658,255582,259414,263120,266820,270433,274131,277717,281332,284770,288164,291596,294898,298119,301420,304737,308020,311165,314265,317231,320220,323255,326136,329065,331864,334739,337593,340394,343191,345840,348579,351233,353870,356491,359113,361623,364157,366538,369069,371414,373724,376015,378227,380531,382803,385095,
74440,0,0,0,0,0,0,1,5,7,34,91,183,329,552,863,1304,1944,2687,3569,4666,5898,7383,8951,10758,12764,14929,17231,19606,22170,24891,27640,30554,33601,36715,39930,43250,46673,50276,53874,57366,60962,64675,68310,71977,75651,79484,83267,87049,90664,94463,98300,102053,105739,109570,113275,117057,120820,124537,128218,131888,135649,139270,142835,146416,150010,153501,157048,160546,164004,167408,170744,174045,177433,180723,183939,187146,190363,193561,196692,199869,203049,206134,209074,211980,214963,217894,220753,223554,226388,229205,231947,234671,237356,240051,242587,245169,247710,250336,252814,255319,257733,260291,262669,265099,267443,269731,272083,274295,276550,278766,280973,283264,285447,287604,289677,291755,293917,296002,297998,
74450,0,0,0,0,0,0,0,1,1,6,14,34,91,160,287,433,677,978,1362,1873,2452,3115,3907,4796,5767,6883,8125,9506,10974,12482,14166,15971,17890,19909,21909,24129,26308,28619,30914,33265,35821,38347,40949,43545,46245,48960,51605,54382,57133,59952,62747,65621,68494,71365,74187,77047,79876,82810,85650,88589,91468,94373,97219,100028,102802,105583,108397,111235,114000,116713,119490,122219,124915,127557,130311,132885,135429,138026,140710,143321,145907,148490,151016,153558,156104,158540,161001,163524,165878,168282,170600,172979,175291,177480,179755,181999,184258,186561,188760,190899,193090,195170,197332,199425,201566,203666,205723,207683,209621,211585,213575,215516,217313,219202,221091,223029,224897,226810,228659,
74460,0,0,0,0,0,0,0,0,0,0,1,5,11,26,59,114,186,274,390,550,741,976,1262,1620,2022,2460,3043,3683,4380,5141,5989,6845,7798,8854,9943,11084,12318,13616,14972,16360,17834,19343,20931,22533,24200,25916,27662,29438,31178,32938,34802,36666,38489,40352,42255,44232,46295,48290,50359,52299,54289,56342,58292,60297,62350,64372,66430,68401,70497,72507,74542,76588,78594,80614,82624,84595,86643,88660,90688,92736,94703,96687,98708,100721,102647,104591,106484,108401,110276,112151,114047,115922,117807,119632,121449,123283,125056,126868,128673,130524,132238,133931,135686,137382,139138,140786,142502,144164,145878,147545,149139,150773,152355,153993,155596,157185,158762,160248,161753,
74470,0,0,0,0,0,0,0,0,0,0,0,1,1,2,4,6,13,25,46,74,117,170,241,338,444,598,763,965,1203,1450,1714,2038,2372,2773,3223,3736,4298,4897,5472,6124,6805,7467,8141,8880,9689,10566,11452,12379,13328,14277,15273,16294,17249,18267,19259,20342,21454,22601,23767,24870,26057,27263,28546,29775,31007,32233,33442,34734,35992,37327,38659,39971,41282,42631,43977,45335,46725,48069,49375,50682,52036,53368,54735,56055,57426,58808,60181,61512,62906,64206,65526,66906,68284,69615,70939,72280,73603,74958,76269,77554,78833,80173,81436,82679,83969,85221,86471,87766,89078,90297,91510,92752,93994,95146,96310,97507,98701,99941,101189,
74480,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,3,6,14,22,33,45,60,87,113,143,183,253,318,392,482,568,669,796,920,1073,1235,1434,1639,1846,2084,2324,2584,2852,3133,3442,3749,4090,4480,4850,5228,5642,6091,6496,7006,7482,7957,8438,8940,9447,10005,10564,11127,11730,12357,12945,13518,14113,14737,15380,16023,16684,17355,18018,18735,19424,20094,20791,21494,22186,22893,23633,24349,25052,25777,26504,27212,27947,28706,29461,30207,30969,31762,32528,33313,34032,34797,35574,36305,37080,37840,38564,39321,40065,40874,41678,42439,43156,43974,44730,45478,46286,47052,47850,48619,49398,
744915,8300,59924,153687,266892,382301,491597,592362,683957,766129,840149,906204,965674,1019053,1067733,1112048,1153083,1190041,1224458,1256144,1285252,1312598,1337674,1361210,1383177,1403453,1422576,1440417,1457412,1473533,1488577,1502518,1515749,1528746,1540939,1552626,1563730,1574337,1584469,1594155,1603530,1612399,1620913,1628908,1636800,1644349,1651526,1658299,1665029,1671407,1677606,1683707,1689479,1695037,1700459,1705573,1710519,1715410,1720176,1724617,1729082,1733379,1737536,1741530,1745378,1749128,1752810,1756392,1759995,1763497,1766792,1770025,1773184,1776227,1779236,1782191,1784920,1787637,1790365,1793069,1795576,1798047,1800446,1802829,1805175,1807373,1809563,1811737,1813871,1815928,1817994,1820044,1821987,1823917,1825774,1827546,1829391,1831196,1832937,1834633,1836308,1838036,1839645,1841245,1842806,1844319,1845818,1847294,1848744,1850112,1851468,1852891,1854290,1855572,1856889,1858227,1859481,1860676,1861965,1863107,
74500,829,12528,47586,104179,173396,248464,323812,397039,467033,532421,592868,649490,701787,750591,795249,836920,876009,912499,946221,977839,1007517,1035159,1061199,1085955,1109085,1130689,1151478,1170964,1189463,1206727,1223377,1239293,1254365,1268760,1282398,1295415,1308056,1320029,1331406,1342356,1353030,1363251,1372986,1382237,1391246,1399978,1408469,1416604,1424191,1431729,1438968,1446073,1452942,1459520,1465909,1472023,1478025,1483868,1489479,1495038,1500362,1505492,1510567,1515250,1520091,1524618,1529017,1533382,1537665,1541747,1545641,1549554,1553433,1557143,1560822,1564411,1567938,1571401,1574639,1577834,1581132,1584134,1587088,1590031,1592786,1595482,1598145,1600870,1603458,1606056,1608708,1611189,1613625,1616071,1618393,1620652,1622930,1625085,1627176,1629367,1631427,1633449,1635494,1637488,1639352,1641199,1643058,1644941,1646807,1648531,1650269,1651962,1653689,1655373,1656961,1658501,1660069,1661605,1663158,
74510,169,4045,20179,52311,97480,151432,208902,267744,325512,381737,435610,486824,535345,581084,623598,663751,702050,737766,771183,802689,832538,860291,886643,911592,935468,958005,979073,999537,1018841,1037153,1054621,1071354,1087327,1102516,1117225,1131370,1144658,1157562,1169870,1181698,1193034,1203959,1214506,1224824,1234552,1243955,1253042,1261717,1270154,1278463,1286357,1294113,1301671,1308880,1315889,1322615,1329085,1335432,1341528,1347667,1353560,1359301,1364776,1370118,1375224,1380167,1385006,1389767,1394388,1399047,1403648,1407933,1412233,1416357,1420456,1424444,1428371,1431952,1435536,1439081,1442641,1446095,1449470,1452836,1456083,1459125,1462254,1465269,1468329,1471200,1473999,1476706,1479349,1482151,1484779,1487363,1489906,1492363,1494762,1497092,1499463,1501718,1504019,1506228,1508347,1510462,1512564,1514587,1516574,1518549,1520451,1522407,1524302,1526167,1527973,1529780,1531539,1533252,1534998,
74520,14,879,6283,20451,44354,76393,114561,156384,199338,243465,287152,329851,371261,410806,449210,485804,520845,554317,585629,615502,644287,671446,697352,721940,745368,767949,789479,810076,829609,848370,866407,883664,900032,915751,931026,945458,959535,972978,985829,998393,1010472,1022056,1033236,1044006,1054304,1064568,1074276,1083556,1092586,1101433,1110021,1118243,1126206,1133996,1141473,1148777,1155831,1162714,1169476,1176158,1182468,1188685,1194695,1200354,1206124,1211568,1217026,1222298,1227432,1232596,1237365,1242122,1246714,1251235,1255638,1259993,1264194,1268370,1272444,1276350,1280260,1284172,1287804,1291529,1295156,1298642,1301994,1305292,1308595,1311803,1314880,1317960,1321029,1323992,1326829,1329757,1332465,1335196,1337826,1340469,1343032,1345561,1347993,1350344,1352774,1355113,1357557,1359880,1362203,1364361,1366515,1368714,1370731,1372887,1374966,1376959,1378952,1380942,1382766,
74530,0,113,1262,5560,14851,29623,49575,73646,100783,130145,160980,191875,223377,254079,285076,315198,344269,372396,399942,426289,451977,476735,500341,523019,544823,566055,586632,606107,624976,643235,660630,677498,693665,709399,724322,738817,753034,766469,779602,792200,804484,816358,827888,838944,849651,860025,870113,879914,889359,898530,907403,916092,924574,932680,940613,948303,955897,963211,970394,977308,984068,990638,997087,1003375,1009471,1015248,1021068,1026853,1032290,1037604,1042776,1047911,1052799,1057665,1062464,1067198,1071805,1076292,1080681,1084992,1089215,1093350,1097404,1101395,1105316,1109119,1112892,1116629,1120192,1123764,1127142,1130340,1133741,1136977,1140231,1143362,1146461,1149437,1152400,1155335,1158228,1160966,1163715,1166399,1169155,1171853,1174372,1176862,1179364,1181803,1184203,1186456,1188776,1191059,1193305,1195529,1197732,1199786,1201953,
74540,0,29,413,2298,7074,15714,28534,44812,64103,86279,109901,134793,160189,185801,211835,237821,263146,288146,312711,336453,359606,382105,403814,424886,445277,465207,484258,502883,520627,537899,554575,570878,586408,601608,616251,630704,644601,657770,670571,682933,695071,706532,717869,728860,739678,749965,759805,769587,779087,788305,797187,806147,814548,822779,830741,838623,846092,853535,860773,867882,874662,881415,887951,894390,900629,906696,912795,918462,924081,929521,934887,940278,945352,950490,955381,960202,964844,969556,974183,978467,982834,987092,991292,995378,999390,1003411,1007171,1010975,1014648,1018434,1021922,1025317,1028752,1032144,1035404,1038624,1041814,1044936,1048055,1051030,1054044,1056964,1059862,1062719,1065539,1068235,1070891,1073438,1076108,1078650,1081135,1083713,1086181,1088579,1091004,1093246,1095537,1097798,1100044,
74550,0,2,110,761,2840,7204,14382,24339,37133,51886,68787,86956,106283,126178,146741,167578,188617,209380,230289,250834,271113,290723,309994,329004,347442,365375,382957,400067,416823,432689,448342,463412,478189,492560,506534,520172,533373,546074,558257,570279,581834,593125,604326,615036,625327,635586,645548,655145,664495,673605,682511,691149,699595,707913,716049,723762,731409,738866,745961,753109,760111,766816,773319,779822,786198,792285,798124,803901,809559,815178,820668,826123,831384,836534,841539,846470,851275,855971,860500,865088,869536,873776,878024,882269,886496,890677,894559,898304,902038,905793,909480,913079,916618,920033,923446,926731,930040,933275,936464,939495,942638,945506,948481,951449,954251,957114,959925,962724,965404,968022,970681,973129,975672,978198,980674,983066,985409,987778,990059,
74560,0,0,20,185,941,2763,6177,11346,18626,27612,38353,50539,63761,78059,93210,108823,124916,141135,157776,174377,190903,207435,223521,239582,255229,270615,285880,301127,315810,330113,344188,358077,371327,384510,397302,409770,421798,433663,445232,456495,467455,478131,488742,498858,508585,518214,527679,536914,545746,554648,563249,571713,579879,587921,595596,603094,610414,617814,624926,631750,638562,645232,651805,658133,664298,670272,676222,682093,687814,693343,698866,704344,709570,714613,719565,724588,729386,734176,738702,743308,747814,752074,756392,760687,764827,768747,772794,776774,780642,784351,788099,791721,795377,798971,802519,806015,809299,812630,815897,819064,822233,825258,828300,831246,834189,837155,839959,842798,845589,848392,851069,853636,856198,858775,861370,863825,866263,868624,870846,
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75000,0,0,0,0,0,0,0,0,0,0,0,1,1,1,8,18,37,66,112,176,264,377,507,693,886,1116,1391,1685,2078,2545,3055,3596,4165,4837,5540,6338,7184,8105,9044,9982,11000,12062,13075,14186,15323,16492,17677,18955,20258,21533,22888,24215,25621,27060,28482,29970,31390,32850,34309,35816,37335,38755,40221,41813,43308,44858,46309,47839,49325,50866,52395,53899,55404,56896,58403,59870,61460,62993,64439,65897,67412,68901,70342,71762,73227,74705,76111,77487,78936,80274,81610,82968,84313,85599,86957,88309,89594,90902,92144,93398,94721,95935,97211,98496,99738,100890,102071,103304,104450,105589,106700,107870,108987,110117,111183,112343,113427,114465,115504,
75010,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,5,7,14,22,38,55,89,123,183,252,322,412,535,673,857,1046,1274,1506,1780,2090,2413,2743,3166,3592,4073,4562,5100,5619,6214,6843,7516,8180,8845,9562,10261,11068,11837,12685,13472,14361,15249,16139,17078,17975,18859,19824,20762,21716,22609,23557,24481,25490,26367,27379,28347,29306,30280,31305,32309,33284,34342,35342,36363,37460,38456,39518,40537,41544,42540,43591,44619,45616,46600,47602,48555,49511,50499,51471,52461,53384,54390,55321,56242,57209,58132,59107,60030,60978,61885,62805,63684,64596,65489,66348,67258,68138,69014,69898,70772,71593,72479,73335,74199,74978,
75020,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,4,7,12,19,31,44,58,79,115,155,183,236,286,367,451,541,639,766,896,1033,1185,1356,1546,1764,2002,2243,2509,2751,3051,3365,3672,4015,4353,4720,5088,5427,5804,6187,6593,7027,7445,7941,8439,8914,9411,9887,10381,10905,11410,11904,12421,12949,13467,14030,14531,15077,15695,16232,16756,17335,17914,18478,19081,19638,20240,20831,21406,22029,22576,23120,23709,24331,24930,25549,26113,26717,27318,27902,28476,29064,29647,30267,30874,31478,32077,32625,33194,33796,34398,34966,35507,36090,36675,37221,37794,38370,38928,39477,40024,
75030,528,12439,55079,128839,223031,325826,428900,527799,620751,705984,784646,856212,921509,981004,1035472,1085314,1131094,1173075,1211562,1246842,1278848,1309226,1337203,1363086,1387399,1410190,1431294,1451131,1469586,1486980,1503437,1518839,1533417,1547007,1559708,1571883,1583369,1594305,1604853,1614845,1624466,1633358,1642026,1650285,1658225,1665626,1672768,1679779,1686452,1692692,1698656,1704573,1710262,1715565,1720763,1725647,1730552,1735101,1739503,1743715,1747821,1751855,1755702,1759372,1762876,1766327,1769870,1773171,1776358,1779425,1782391,1785235,1788065,1790770,1793409,1796150,1798649,1800999,1803297,1805656,1807840,1809957,1812129,1814170,1816169,1818127,1820073,1821829,1823616,1825385,1827066,1828791,1830435,1831971,1833626,1835144,1836618,1838036,1839518,1840909,1842319,1843711,1845002,1846262,1847422,1848654,1849846,1851008,1852174,1853257,1854324,1855433,1856455,1857547,1858577,1859584,1860541,1861468,1862402,
75040,10,1173,9135,31347,69242,118949,177042,240047,304979,368962,431239,491033,547967,601758,652321,699821,744156,785817,824872,861241,895393,927548,957654,986092,1013032,1038359,1061863,1084458,1105457,1125468,1144194,1162171,1179001,1195167,1210778,1225540,1239395,1252632,1265485,1277655,1289158,1300084,1310541,1320876,1330649,1339985,1348784,1357197,1365372,1373221,1380855,1388222,1395440,1402151,1408682,1414938,1420967,1426711,1432440,1438035,1443320,1448455,1453301,1458168,1462836,1467315,1471722,1475968,1480111,1484200,1488075,1491889,1495517,1499006,1502411,1505830,1509090,1512299,1515437,1518437,1521404,1524310,1527076,1529786,1532477,1535058,1537595,1540032,1542476,1544904,1547158,1549406,1551582,1553722,1555773,1557884,1559945,1561919,1563882,1565797,1567594,1569304,1571031,1572754,1574423,1576055,1577613,1579115,1580602,1582084,1583484,1584942,1586306,1587676,1589032,1590319,1591557,1592849,1594089,
75050,0,175,2605,11309,29602,57428,93805,135606,181583,229793,278581,327100,374574,420971,465240,507789,548254,586799,623133,657765,690748,721892,751280,779104,805462,830447,854011,876469,897925,918378,937755,956143,973968,990985,1006920,1022467,1037130,1051108,1064497,1077599,1089837,1101465,1112879,1123679,1134203,1144084,1153909,1163186,1171974,1180569,1188736,1196845,1204446,1212002,1219101,1226121,1232866,1239460,1245805,1251889,1257832,1263610,1269117,1274364,1279554,1284575,1289519,1294363,1298799,1303273,1307664,1311879,1315931,1319868,1323767,1327531,1331211,1334741,1338289,1341598,1344921,1348148,1351387,1354404,1357336,1360255,1363168,1365945,1368710,1371379,1373934,1376435,1379004,1381375,1383730,1386145,1388410,1390694,1392857,1394953,1396931,1399026,1401060,1402971,1404924,1406784,1408585,1410323,1412065,1413771,1415433,1417086,1418772,1420336,1421830,1423336,1424804,1426232,1427634,
75060,1,26,556,3047,9669,22083,40728,64601,92849,124657,158140,193039,228364,263836,299034,333788,367597,400519,432263,462791,492152,519960,546754,572629,596924,620704,643474,665279,685849,705861,724878,743004,760504,777209,793113,808532,823164,837328,850891,864085,876669,888841,900525,911710,922487,932982,943214,952848,962167,971231,979877,988356,996420,1004378,1011875,1019361,1026515,1033418,1040291,1046788,1053127,1059211,1065108,1070873,1076358,1081835,1087027,1092133,1097053,1101922,1106597,1111178,1115778,1120085,1124301,1128430,1132476,1136402,1140309,1144021,1147609,1151132,1154559,1157861,1161161,1164382,1167518,1170623,1173640,1176471,1179429,1182282,1185072,1187709,1190334,1192895,1195343,1197790,1200239,1202586,1204915,1207182,1209418,1211584,1213723,1215767,1217858,1219807,1221748,1223647,1225510,1227310,1229078,1230751,1232417,1234086,1235760,1237404,1239063,
75070,0,1,59,478,2187,6034,12906,23540,37344,54066,73231,94475,116989,140838,165193,189933,214588,239511,264003,288344,311841,335019,357512,379489,400560,421100,440854,459827,478609,496345,513572,530492,546518,562019,577126,591554,605360,618912,631799,644494,656629,668534,680157,691153,701657,712023,722026,731639,741082,750171,758985,767367,775573,783723,791681,799160,806517,813614,820355,827147,833721,839879,845981,851901,857792,863500,868977,874370,879533,884579,889469,894372,899145,903806,908264,912754,916949,921060,925214,929212,933130,936884,940555,944140,947677,951096,954397,957739,960917,964021,967240,970262,973187,976111,978997,981687,984381,986914,989449,991977,994468,996884,999302,1001555,1003844,1006114,1008313,1010266,1012337,1014411,1016430,1018464,1020353,1022320,1024204,1026010,1027859,1029609,1031319,
75080,0,0,8,149,839,2675,6432,12558,21106,32038,45121,60471,77165,95081,114029,133844,153861,173850,194179,214443,234628,254469,274195,293192,312096,330543,348311,365479,382524,398932,414818,430217,445194,459567,473850,487512,500603,513209,525335,537329,548940,560139,570998,581608,591845,601836,611634,621019,629953,638725,647330,655766,663807,671566,679134,686469,693574,700601,707370,714027,720509,726800,732932,738878,744732,750402,755942,761366,766601,771566,776496,781468,786237,790843,795295,799684,803939,808117,812166,816157,820128,824021,827756,831227,834866,838297,841706,845093,848386,851521,854664,857738,860663,863642,866479,869235,872119,874907,877558,880196,882686,885110,887548,889842,892146,894506,896662,898864,901036,903209,905248,907312,909324,911257,913229,915133,917030,918873,920666,
75090,0,0,3,44,282,1029,2802,5931,10758,17214,25650,35558,47065,59707,73393,88051,103579,119277,135286,151571,167791,184052,200457,216530,232360,248050,263478,278755,293371,307735,321832,335661,349096,362194,375160,387588,399637,411483,423000,434300,445272,455905,466264,476054,485827,495045,504087,512957,521762,530172,538296,546220,553911,561587,568888,576031,583016,589904,596494,602829,609269,615432,621458,627346,633100,638563,643838,649154,654251,659323,664275,669112,673707,678246,682835,687209,691384,695593,699597,703562,707461,711168,714957,718624,722255,725667,729058,732358,735625,738773,741861,744916,747913,750883,753707,756488,759288,761918,764594,767188,769688,772211,774687,777104,779447,781705,783973,786165,788314,790499,792579,794674,796703,798694,800639,802615,804578,806328,808140,
75100,0,0,1,15,84,322,941,2281,4471,7907,12551,18577,25662,33912,43016,53074,63648,75030,86791,98902,111339,123966,136615,149447,162314,175172,187835,200266,212530,224731,236713,248644,260236,271816,282804,293671,304274,314628,324802,334820,344505,354006,363223,372339,381162,389895,398313,406454,414355,422151,429752,437144,444397,451437,458460,465259,471905,478274,484533,490774,496673,502458,508188,513736,519151,524460,529651,534627,539546,544529,549252,553775,558271,562788,567141,571440,575573,579619,583564,587462,591385,595144,598695,602204,605760,609065,612374,615697,618906,621940,625076,628111,631044,633979,636869,639798,642570,645234,647902,650523,653106,655674,658183,660635,663001,665250,667516,669797,672042,674127,676202,678269,680351,682352,684355,686234,688153,689947,691795,
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75530,0,0,0,0,0,0,3,9,32,73,152,312,532,906,1330,1902,2639,3629,4734,6008,7433,8988,10657,12476,14481,16603,18844,21221,23605,26050,28752,31469,34122,36944,39777,42508,45468,48468,51506,54579,57601,60741,63830,66802,69866,72963,76000,78944,81999,84935,87809,90770,93677,96596,99454,102349,105118,107837,110532,113163,115768,118433,121084,123744,126323,128818,131280,133728,136159,138573,140923,143248,145637,147904,150188,152398,154585,156698,158807,161005,162999,165112,167176,169192,171180,173118,175128,177057,178963,180829,182626,184368,186165,187966,189623,191325,193017,194597,196199,197777,199347,200939,202503,204020,205477,206891,208333,209825,211220,212605,213910,215283,216633,218007,219309,220611,221886,223122,224367,
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75610,4,295,2569,9503,22637,41770,65810,93392,122995,153801,184925,215926,246447,276393,305269,333530,360606,386650,411310,434672,457239,478655,499352,519342,538152,556238,573512,590148,606081,621026,635580,649619,663402,676347,688567,700440,712095,722962,733493,743606,753380,762873,772029,780724,789316,797511,805367,813228,820738,828015,834998,841664,848165,854432,860696,866752,872482,878273,883692,888970,894141,899144,903937,908539,913173,917620,922014,926165,930173,934276,938198,941979,945651,949421,953016,956569,960023,963495,966757,969941,972934,975861,978785,981582,984385,987107,989750,992474,995080,997562,1000049,1002511,1004923,1007245,1009511,1011688,1013855,1015959,1018073,1020086,1022077,1023975,1025918,1027819,1029675,1031469,1033277,1034954,1036659,1038349,1040029,1041664,1043251,1044857,1046373,1047893,1049408,1050888,1052273,
75620,1,78,1098,4816,12627,25006,41807,61780,84371,108588,133830,159830,185624,211301,236749,261623,285959,309315,331898,353715,374699,394788,414119,432542,450567,467367,483620,499373,514488,529043,542981,556432,569453,581973,593990,605367,616503,627308,638009,648060,657795,667124,676173,684955,693370,701569,709550,717158,724510,731699,738607,745332,751886,758297,764521,770511,776444,782150,787665,793077,798390,803512,808384,813148,817800,822418,826866,831156,835401,839476,843489,847386,851235,854924,858429,861957,865380,868734,872055,875317,878411,881459,884415,887313,890162,892893,895616,898287,900915,903571,906082,908521,910838,913145,915477,917777,919956,922158,924365,926446,928461,930502,932422,934380,936211,938129,939978,941771,943567,945297,946987,948625,950277,951895,953486,955067,956571,958082,959546,
75630,0,30,378,2034,6140,13529,24154,37662,53756,71815,91123,111461,132210,153331,174627,195491,216125,236277,255964,275116,294012,312039,329462,346316,362535,378339,393599,408233,422513,436375,449628,462532,475020,486870,498495,509577,520553,530978,541046,550931,560223,569400,578234,586681,594882,602926,610632,618171,625554,632574,639460,646132,652547,658791,664909,670947,676730,682443,687943,693237,698432,703541,708443,713333,718067,722565,727012,731329,735479,739581,743558,747447,751220,754910,758572,762265,765737,769173,772524,775900,779021,782177,785181,788114,790991,793904,796668,799461,802079,804731,807315,809810,812310,814720,817014,819322,821584,823848,825983,828103,830228,832267,834283,836309,838207,840085,841951,843816,845616,847345,849141,850874,852525,854179,855713,857316,858877,860421,861942,
75640,0,2,106,698,2422,6087,11977,20009,30414,42576,56326,71195,87066,103300,119776,136657,153429,170041,186516,202783,218882,234698,250090,265092,279638,293809,307611,321006,333978,346653,358823,370587,381894,393015,403700,414108,424055,433735,443011,452268,461307,470009,478457,486770,494711,502530,510074,517395,524488,531338,538037,544530,550862,557066,563073,568860,574525,580072,585436,590607,595716,600667,605462,610102,614711,619251,623612,627953,632141,636231,640243,644119,647932,651687,655321,658850,662357,665740,669081,672329,675512,678689,681746,684740,687662,690564,693381,696173,698763,701448,704006,706483,709007,711380,713764,716084,718404,720520,722786,724959,727072,729133,731122,733178,735169,737073,738978,740911,742683,744477,746296,748024,749626,751264,752888,754544,756154,757667,759165,
75650,0,1,23,186,812,2313,5078,9350,15099,22345,30879,40408,51136,62519,74486,86854,99508,112558,125589,138673,151501,164179,176820,189377,201671,213671,225406,236945,247982,258967,269763,280183,290461,300357,309980,319419,328413,337314,345962,354393,362804,370918,378511,386141,393558,400584,407484,414414,421077,427583,433821,439930,445944,451829,457441,463026,468558,473790,479017,484109,489078,493846,498572,503178,507640,512110,516354,520508,524644,528712,532692,536500,540174,543776,547393,550969,554395,557720,561016,564225,567396,570453,573414,576278,579054,581921,584666,587353,590130,592717,595297,597873,600319,602723,605119,607394,609750,612093,614326,616443,618517,620604,622666,624639,626563,628543,630438,632286,634161,635946,637699,639366,641136,642825,644443,646104,647660,649280,650804,
75660,0,0,3,74,327,1127,2669,5339,9075,13945,20021,27076,34886,43479,52926,62644,72758,83212,93739,104565,115409,126411,137255,148112,158783,169398,179803,190000,200011,210011,219742,229193,238354,247473,256470,265272,273703,281964,289870,297824,305543,313036,320360,327426,334402,341219,347806,354137,360388,366609,372533,378345,384100,389711,395215,400559,405791,410831,415715,420595,425360,430053,434580,439052,443503,447714,451889,455943,459935,463740,467559,471195,474778,478409,481779,485133,488509,491732,494936,498000,501032,504122,507146,510080,512898,515700,518381,521075,523726,526213,528723,531224,533699,536067,538318,540581,542842,545094,547214,549293,551444,553529,555532,557502,559520,561484,563280,565116,566956,568732,570517,572174,573837,575450,577059,578676,580271,581828,583400,
75670,0,0,3,19,134,485,1277,2706,4904,7869,11836,16512,22023,28168,35122,42429,50264,58394,67039,75717,84551,93395,102311,111222,120309,129158,137985,146788,155458,164126,172628,181126,189455,197557,205454,213165,220812,228206,235678,242829,249856,256851,263523,270150,276406,282701,288915,294864,300702,306349,311972,317497,322983,328115,333267,338141,343046,347757,352468,356980,361364,365787,370065,374357,378546,382556,386561,390537,394397,398112,401717,405321,408787,412246,415607,418925,422206,425402,428495,431540,434556,437509,440346,443103,445817,448435,451041,453590,456088,458614,461099,463441,465830,468129,470453,472656,474885,477036,479233,481406,483434,485437,487335,489302,491236,493149,494955,496782,498577,500325,502009,503719,505303,506973,508577,510148,511729,513249,514724,
75680,0,0,1,7,44,175,524,1179,2280,3994,6297,9150,12564,16732,21309,26541,32169,37936,44046,50735,57410,64331,71491,78774,85944,93137,100524,107697,114897,122012,129166,136313,143293,150289,157212,163889,170631,177216,183673,190134,196364,202504,208369,214299,219948,225554,231150,236543,241816,247032,252117,257145,261939,266739,271304,275832,280390,284782,289181,293455,297584,301682,305783,309701,313562,317395,321197,324700,328187,331656,335110,338366,341577,344812,348043,351152,354081,357117,360078,362956,365865,368642,371375,374093,376741,379307,381916,384429,386892,389243,391633,393850,396131,398400,400642,402798,404982,407026,409119,411104,413025,414975,416888,418758,420559,422380,424162,425942,427660,429360,431121,432768,434376,436012,437571,439151,440680,442202,443728,
75690,0,0,0,0,6,35,165,417,917,1693,2830,4370,6407,8826,11744,14983,18654,22646,26977,31617,36442,41490,46832,52158,57629,63244,68973,74614,80348,86116,91880,97579,103226,109008,114692,120357,125792,131284,136659,142039,147267,152515,157583,162579,167585,172542,177287,182057,186664,191364,195786,200269,204577,208747,212893,217058,221029,225027,228916,232784,236655,240332,243985,247560,251141,254525,258064,261461,264788,267930,271058,274148,277211,280130,283146,285948,288774,291645,294360,297078,299722,302343,304927,307437,309911,312357,314720,317050,319321,321630,323908,326058,328157,330298,332416,334406,336381,338415,340360,342244,344168,345995,347687,349466,351257,352932,354670,356315,357911,359522,361083,362664,364197,365714,367198,368687,370203,371641,373125,
75700,0,0,0,0,1,8,40,116,296,609,1097,1812,2791,4021,5566,7378,9470,11814,14370,17225,20296,23557,27064,30817,34586,38479,42474,46510,50624,54816,59077,63343,67609,72042,76447,80924,85313,89577,93924,98207,102472,106778,110955,115066,119207,123272,127307,131267,135104,139081,142851,146503,150224,153880,157372,160956,164527,167911,171282,174727,178009,181233,184447,187609,190707,193727,196656,199550,202447,205342,208166,210947,213626,216344,218988,221578,224145,226688,229144,231519,233908,236271,238626,240918,243193,245314,247541,249673,251842,253977,255998,258002,259932,261884,263732,265564,267400,269259,271059,272781,274499,276222,277883,279514,281134,282777,284310,285882,287415,288950,290437,291875,293366,294758,296168,297574,298980,300319,301679,
75710,0,0,0,0,1,2,4,22,83,188,354,642,1086,1712,2427,3396,4530,5808,7292,9010,10932,13001,15214,17616,20163,22760,25393,28305,31314,34209,37263,40420,43506,46721,49934,53207,56369,59723,63042,66385,69633,72947,76348,79570,82791,85967,89189,92359,95558,98689,101747,104846,107934,110985,114003,116899,119848,122701,125568,128480,131236,133970,136768,139527,142174,144769,147338,149904,152411,154866,157288,159731,162193,164543,166767,169002,171242,173516,175707,177828,179993,182057,184054,186137,188168,190137,192146,194071,195917,197755,199594,201334,203106,204862,206614,208314,209982,211639,213280,214898,216441,218010,219469,220965,222486,223996,225387,226815,228146,229559,230969,232329,233647,234949,236326,237643,238920,240171,241428,
75720,0,0,0,0,0,0,2,6,19,40,92,186,343,577,872,1230,1758,2366,3099,3936,4878,5967,7162,8458,9861,11311,12943,14726,16529,18429,20340,22374,24459,26573,28707,30864,33114,35389,37745,40067,42390,44781,47154,49453,51795,54227,56628,59035,61350,63792,66163,68638,71069,73359,75663,77902,80214,82513,84785,87057,89318,91520,93753,95877,97952,99955,102122,104134,106161,108146,110204,112186,114137,115982,117937,119885,121810,123696,125525,127328,129101,130879,132584,134352,136093,137753,139489,141116,142794,144388,145988,147535,149073,150673,152133,153657,155098,156481,157905,159292,160669,162010,163262,164554,165818,167201,168474,169762,170945,172191,173428,174566,175749,176993,178146,179347,180471,181573,182698,
75730,0,0,0,0,0,0,0,0,0,2,10,29,70,114,184,303,450,650,921,1209,1555,1987,2473,3024,3626,4312,5056,5911,6755,7659,8685,9761,10874,12012,13209,14456,15714,17040,18440,19944,21390,22816,24281,25716,27224,28752,30299,31881,33439,35085,36690,38271,39880,41503,43069,44722,46274,47862,49484,51112,52696,54268,55856,57445,58957,60520,62093,63638,65128,66669,68192,69674,71103,72528,73989,75427,76807,78281,79611,80998,82372,83709,85100,86449,87735,89007,90284,91539,92779,94085,95399,96626,97867,99157,100334,101498,102747,103915,105026,106200,107308,108454,109515,110576,111620,112673,113715,114736,115742,116762,117753,118795,119813,120806,121796,122728,123714,124638,125570,
75740,0,0,0,0,0,0,0,0,0,0,1,2,4,9,13,22,47,82,105,167,239,331,458,588,756,954,1135,1358,1639,1957,2302,2631,3037,3442,3884,4392,4927,5500,6061,6669,7286,7953,8637,9363,10061,10838,11615,12386,13199,14044,14883,15761,16626,17473,18304,19182,20039,20903,21829,22729,23656,24546,25448,26307,27217,28174,29114,30061,30961,31859,32787,33710,34631,35516,36452,37361,38249,39170,40088,40983,41927,42858,43772,44681,45564,46421,47311,48165,49038,49894,50781,51654,52475,53341,54189,55017,55808,56588,57463,58234,59046,59828,60614,61394,62168,62983,63721,64506,65218,65963,66685,67402,68117,68830,69552,70293,71001,71724,72393,
757592,16921,88738,197929,315841,428767,531706,623155,704641,777207,840924,897810,948520,994708,1036031,1073284,1107245,1138287,1166873,1192891,1217232,1239775,1260503,1279915,1297927,1314946,1330951,1345871,1359764,1373127,1385340,1396937,1408018,1418596,1428660,1438188,1447230,1455951,1464059,1471703,1479405,1486624,1493627,1500167,1506478,1512459,1518103,1523647,1528976,1534019,1539064,1543869,1548497,1552916,1557229,1561357,1565357,1569270,1573033,1576657,1580206,1583591,1586986,1590225,1593248,1596269,1599147,1601876,1604666,1607346,1609980,1612438,1614881,1617259,1619539,1621797,1623958,1626184,1628341,1630421,1632375,1634286,1636145,1638040,1639808,1641623,1643314,1644980,1646577,1648135,1649633,1651161,1652694,1654136,1655595,1656919,1658251,1659603,1660940,1662221,1663443,1664686,1665875,1667042,1668244,1669393,1670469,1671488,1672563,1673602,1674637,1675683,1676653,1677639,1678574,1679521,1680430,1681274,1682134,1682976,
75763,2836,26173,77437,147455,224267,301895,376153,445245,509282,568135,622273,671329,716761,758259,796566,831669,864200,894251,922313,948427,972407,994975,1015985,1035942,1054554,1072015,1088830,1104540,1119039,1133109,1146686,1159080,1171170,1182534,1193468,1203878,1213687,1223071,1232030,1240652,1248877,1256777,1264409,1271689,1278590,1285255,1291854,1298079,1303956,1309677,1315520,1321025,1326309,1331315,1336261,1341005,1345611,1350048,1354309,1358467,1362489,1366322,1370154,1373833,1377351,1380842,1384252,1387540,1390834,1393952,1396933,1399892,1402697,1405365,1408109,1410783,1413285,1415623,1418014,1420353,1422675,1425082,1427283,1429450,1431521,1433550,1435671,1437575,1439416,1441300,1443145,1444950,1446680,1448452,1450138,1451719,1453377,1454941,1456501,1457986,1459439,1460937,1462380,1463836,1465186,1466532,1467808,1469042,1470305,1471538,1472745,1473858,1474967,1476157,1477296,1478418,1479529,1480565,1481625,
75770,730,10777,39506,85337,141134,201311,261772,320877,377300,430332,479978,525948,568397,607903,644356,678329,710512,740216,768014,794126,818667,841462,862964,883455,902777,920996,938149,954305,969607,984240,998024,1011249,1023652,1035614,1047013,1057828,1068366,1078488,1087999,1097296,1106070,1114483,1122580,1130338,1137767,1144899,1151844,1158459,1164874,1171147,1177240,1183132,1188776,1194203,1199388,1204443,1209354,1214153,1218750,1223214,1227534,1231747,1235879,1239754,1243655,1247434,1251146,1254780,1258215,1261502,1264728,1267872,1270954,1273891,1276770,1279663,1282503,1285262,1287854,1290475,1293032,1295504,1297913,1300285,1302583,1304831,1307079,1309253,1311325,1313365,1315388,1317364,1319226,1321129,1322967,1324800,1326538,1328242,1329918,1331626,1333249,1334881,1336399,1337938,1339433,1340908,1342278,1343762,1345132,1346456,1347751,1349066,1350397,1351640,1352870,1354070,1355348,1356566,1357697,
75780,144,3404,16193,41222,76526,118275,162973,208470,253901,298282,340730,381241,419627,455832,489470,521583,552020,580714,607220,632572,656509,679182,700569,720658,739781,758017,775285,791580,807233,822009,836282,849745,862707,875032,886856,897993,908898,919368,929245,938839,947845,956651,965158,973385,981413,989174,996515,1003593,1010510,1017077,1023483,1029555,1035512,1041298,1046828,1052235,1057419,1062520,1067524,1072378,1077007,1081438,1085820,1089933,1093973,1097869,1101795,1105500,1109237,1112794,1116289,1119737,1123062,1126255,1129537,1132646,1135742,1138667,1141567,1144398,1147165,1149814,1152544,1155082,1157584,1160026,1162390,1164832,1167101,1169379,1171641,1173730,1175757,1177807,1179831,1181803,1183667,1185550,1187297,1189084,1190819,1192552,1194257,1195902,1197529,1199055,1200659,1202238,1203741,1205212,1206652,1208095,1209460,1210769,1212092,1213408,1214730,1215987,1217185,
75790,9,625,4792,15443,33410,57267,85474,116715,149517,182809,215871,248409,279788,309958,339388,367243,394124,419759,443821,467010,489026,509915,529945,549154,567415,584761,601330,617182,632297,646738,660685,674199,686983,699311,711125,722623,733663,744107,754381,763968,773409,782443,791088,799444,807568,815355,822877,830167,837221,844022,850667,857092,863306,869510,875392,881102,886629,891897,896915,901962,906843,911540,916253,920689,925006,929202,933276,937345,941382,945178,948961,952615,956148,959566,962886,966113,969253,972322,975378,978340,981221,984056,986805,989539,992290,994890,997456,999840,1002217,1004622,1006988,1009160,1011462,1013691,1015831,1017972,1019977,1022052,1023983,1025903,1027911,1029739,1031559,1033395,1035173,1036851,1038595,1040261,1041942,1043490,1045036,1046613,1048185,1049606,1051104,1052593,1053992,1055351,1056742,
75800,3,254,2281,8309,19674,36151,56703,80332,106079,133175,160649,188232,215839,242425,268179,293421,317545,340966,363475,384928,405641,425224,444430,462605,480006,496567,512335,527454,542327,556329,569916,582831,595269,607427,619138,630180,640869,651167,661098,670628,680091,688993,697688,706057,714061,721996,729635,736924,743958,750822,757491,763940,770095,776216,782116,787908,793419,798813,804015,809206,814159,819029,823768,828386,832740,837041,841353,845460,849431,853357,857174,860993,864743,868226,871608,875108,878407,881597,884747,887796,890757,893686,896589,899476,902243,904820,907499,910029,912535,914899,917353,919678,921968,924260,926458,928575,930722,932818,934780,936815,938843,940729,942636,944407,946221,948010,949702,951500,953174,954787,956369,957967,959513,961042,962605,964116,965546,966984,968352,
75810,0,78,891,3841,10174,20394,34438,51384,70561,91380,113178,135356,158007,180305,202608,224479,245675,266318,286075,305519,324313,342500,360073,377023,393014,408508,423548,438082,452281,465660,478476,491021,502929,514541,525785,536744,547131,557230,566821,576312,585387,594216,602681,610895,618987,626767,634179,641226,648285,655070,661571,667986,674158,680317,686170,691928,697432,702830,708045,713100,717948,722785,727467,732071,736642,740930,745192,749283,753265,757310,761154,764945,768673,772241,775757,779128,782454,785668,788925,792007,795017,798019,800937,803803,806612,809294,812010,814515,817159,819661,822104,824482,826848,829159,831415,833589,835776,837941,840039,842120,844156,846055,847995,849815,851630,853355,855122,856829,858509,860142,861847,863506,865159,866713,868324,869792,871224,872629,874002,
75820,0,17,249,1421,4521,10184,18453,29289,42221,57011,73028,89802,107140,125015,143077,161028,178933,196575,213868,230743,247338,263208,278480,293435,307948,322095,335716,348832,361759,374056,386246,397886,409241,420263,430812,440900,450812,460588,469953,478994,487775,496319,504444,512251,519960,527418,534801,541897,548678,555297,561821,568038,574084,580057,585818,591532,596968,602382,607491,612474,617400,622117,626748,631317,635817,640134,644287,648432,652540,656388,660189,664013,667659,671280,674805,678212,681496,684779,688075,691223,694282,697334,700283,703101,705853,708585,711290,713902,716503,719051,721554,723983,726334,728714,730957,733178,735304,737394,739494,741539,743578,745555,747468,749440,751343,753221,755032,756833,758578,760351,762023,763683,765381,766950,768483,769992,771454,772909,774361,
75830,0,7,74,432,1605,4147,8476,14451,22440,31792,42302,53856,66429,79480,92972,106875,120686,134761,148552,162550,176184,189857,203028,215900,228401,240773,252880,264547,275870,287034,297884,308248,318503,328367,337907,347285,356179,364937,373550,382098,390109,397970,405630,413001,420237,427404,434318,440982,447553,453799,460037,466029,471923,477609,483182,488669,493919,499017,504077,508917,513742,518390,522950,527320,531563,535802,540088,544042,547933,551765,555636,559276,562845,566315,569745,573143,576451,579712,582962,586117,589201,592137,595023,597887,600646,603267,606015,608621,611243,613688,616137,618543,620837,623156,625484,627793,629961,632160,634314,636407,638388,640417,642412,644289,646163,647990,649836,651615,653356,654989,656693,658395,660058,661684,663239,664757,666244,667667,669135,
75840,0,1,27,155,727,2142,4722,8667,13818,20404,28221,37090,46633,56902,67749,79025,90496,102151,113763,125534,137051,148457,160028,171330,182486,193386,204026,214506,224747,234752,244678,254276,263617,272818,281676,290383,298813,306974,315086,322921,330701,338139,345315,352402,359402,365986,372535,378997,385115,391160,396974,402807,408512,413969,419316,424565,429670,434612,439392,444225,448835,453370,457745,462155,466338,470427,474392,478241,482170,485949,489634,493253,496816,500239,503583,506993,510130,513339,516372,519428,522330,525221,528062,530823,533580,536235,538887,541563,544054,546476,548881,551354,553727,556019,558343,560595,562780,564912,566948,568976,570993,572921,574799,576715,578662,580560,582412,584244,586019,587639,589310,590980,592577,594170,595712,597250,598717,600222,601680,
75850,0,0,4,58,295,936,2324,4603,7828,12188,17424,23643,30619,38241,46350,54989,64167,73364,82827,92463,102103,111987,121652,131324,140979,150577,160076,169264,178221,187169,195957,204554,213019,221165,229185,237192,244700,252080,259565,266821,273783,280787,287527,294077,300634,306730,312699,318671,324562,330244,335631,341074,346287,351392,356459,361500,366375,371166,375834,380364,384792,389219,393461,397634,401654,405577,409433,413173,416783,420467,424048,427505,430986,434334,437632,440798,443887,446989,450025,453061,455946,458773,461508,464230,466946,469480,472093,474653,477187,479621,482019,484310,486579,488915,491153,493358,495507,497557,499650,501796,503826,505853,507834,509779,511651,513384,515183,517038,518791,520507,522095,523701,525238,526863,528379,529910,531461,532981,534472,
75860,0,0,0,21,101,397,1029,2181,3973,6567,9828,13855,18444,23665,29411,35673,42220,49201,56548,64086,71719,79580,87366,95289,103073,110912,118712,126422,134064,141819,149341,156917,164259,171455,178604,185566,192532,199145,205693,212094,218390,224510,230602,236583,242313,247943,253581,258999,264281,269581,274744,279807,284670,289466,294143,298789,303300,307793,312061,316304,320505,324478,328432,332354,336294,339962,343589,347246,350782,354235,357610,360903,364214,367367,370507,373542,376543,379548,382486,385306,388048,390760,393475,396022,398562,401132,403566,405985,408453,410772,413068,415284,417509,419718,421821,423898,425867,427868,429891,431869,433762,435619,437533,439441,441293,443035,444818,446551,448258,449931,451527,453103,454703,456247,457739,459191,460641,462136,463526,
75870,0,0,1,3,23,110,343,804,1632,2920,4769,6957,9718,12932,16676,20756,25415,30208,35312,40730,46260,52133,58193,64229,70236,76464,82560,88805,95069,101328,107476,113643,119619,125533,131566,137501,143256,149126,154749,160304,165779,171123,176355,181568,186659,191763,196743,201520,206279,211004,215577,220004,224459,228831,233089,237185,241215,245342,249374,253150,256952,260589,264325,267954,271524,274886,278348,281628,284919,288053,291177,294252,297293,300288,303200,306079,308796,311565,314370,316946,319612,322154,324594,327069,329539,331964,334313,336758,339057,341240,343506,345712,347753,349840,351895,353891,355757,357686,359660,361512,363322,365165,366925,368584,370322,372016,373711,375415,377057,378638,380243,381774,383270,384793,386285,387776,389119,390528,391896,
75880,0,0,0,0,4,25,93,249,551,1037,1824,2825,4294,6033,8132,10543,13266,16303,19551,23015,26746,30724,34909,39188,43617,47960,52417,57045,61743,66473,71238,75950,80696,85358,90074,94864,99420,104029,108597,113082,117529,122065,126529,130854,135057,139304,143476,147551,151524,155549,159504,163395,167257,170982,174723,178389,181887,185449,188924,192320,195683,198928,202145,205334,208472,211448,214452,217392,220348,223252,226001,228720,231418,234136,236770,239257,241767,244387,246948,249451,251838,254222,256510,258734,260956,263140,265290,267363,269500,271543,273548,275577,277606,279575,281400,283266,285109,286984,288718,290467,292125,293788,295487,297138,298700,300356,301917,303452,304955,306482,308021,309495,310897,312317,313670,314980,316386,317696,318978,
75890,0,0,0,0,0,4,21,67,176,360,712,1192,1818,2718,3812,5094,6653,8339,10332,12565,14974,17445,20170,23039,25989,29079,32344,35667,38930,42443,45852,49345,53020,56680,60211,63750,67331,70995,74613,78104,81660,85257,88730,92196,95613,99016,102434,105863,109279,112570,115862,119094,122204,125452,128558,131581,134632,137661,140596,143574,146487,149268,152106,154981,157758,160343,162956,165647,168163,170574,173013,175388,177705,180034,182452,184674,186861,189163,191470,193624,195748,197872,199992,202060,204049,206048,208024,209866,211750,213602,215392,217297,219033,220816,222527,224238,225879,227522,229183,230732,232267,233827,235447,236885,238382,239873,241321,242701,244056,245446,246767,248135,249407,250732,252069,253310,254543,255807,257012,
75900,0,0,0,0,0,0,2,8,27,92,189,362,594,952,1384,1966,2669,3574,4573,5635,6857,8219,9676,11339,13124,15029,16934,18999,21114,23298,25546,27862,30239,32664,35116,37585,40100,42654,45220,47779,50326,52956,55567,58208,60858,63433,65968,68555,71019,73518,76153,78670,81159,83642,86056,88512,90964,93362,95740,98136,100413,102828,105107,107283,109498,111701,113858,116046,118195,120291,122354,124386,126426,128380,130377,132288,134195,136117,137966,139835,141625,143444,145196,146875,148636,150368,152069,153771,155406,157035,158603,160170,161746,163272,164729,166264,167697,169171,170541,171951,173342,174699,175991,177351,178738,180048,181350,182592,183827,185097,186302,187519,188700,189887,191025,192180,193302,194395,195479,
75910,0,0,0,0,0,0,0,0,5,17,37,74,123,204,307,484,730,1024,1360,1752,2269,2803,3476,4153,4918,5822,6805,7853,8923,9987,11225,12559,13923,15268,16694,18134,19703,21199,22790,24409,26031,27663,29303,31003,32728,34382,36030,37757,39489,41235,43056,44825,46566,48405,50162,51900,53662,55411,57148,58922,60564,62237,63958,65599,67240,68911,70593,72203,73821,75416,76989,78553,80082,81690,83184,84692,86214,87707,89160,90648,92029,93452,94816,96220,97557,98857,100242,101577,102926,104226,105493,106803,108057,109316,110528,111797,112967,114104,115196,116322,117500,118604,119740,120851,121949,123044,124126,125192,126231,127309,128331,129331,130344,131328,132318,133304,134249,135187,136114,
75920,0,0,0,0,0,0,0,0,0,0,1,4,7,18,29,48,80,131,205,287,402,543,694,889,1109,1407,1680,2015,2371,2775,3198,3665,4185,4748,5345,6007,6673,7374,8127,8874,9606,10418,11211,12010,12810,13716,14576,15513,16397,17325,18226,19152,20103,21053,22005,22997,23987,24920,25894,26944,27974,28952,29926,30957,31936,32911,33856,34830,35844,36831,37816,38777,39752,40700,41679,42653,43615,44613,45569,46528,47512,48482,49421,50412,51302,52218,53143,54039,55016,55886,56801,57647,58522,59384,60249,61101,62005,62856,63722,64545,65357,66152,66917,67729,68571,69332,70100,70914,71684,72493,73229,74023,74749,75494,76214,76940,77680,78380,79083,
75930,1,282,4280,21759,60327,122000,200747,289960,384380,479242,570634,657904,739782,815765,886147,950552,1009250,1063374,1113050,1158066,1199753,1237882,1272973,1305644,1335430,1362997,1388517,1412383,1434264,1454629,1473743,1491590,1508174,1523760,1538289,1551663,1564142,1576043,1587271,1597818,1608000,1617744,1626772,1635306,1643375,1651089,1658188,1665162,1671783,1678035,1684093,1689704,1695157,1700365,1705345,1710091,1714702,1719063,1723393,1727491,1731322,1735051,1738610,1742055,1745378,1748600,1751660,1754592,1757429,1760156,1762820,1765447,1767933,1770325,1772600,1774855,1776943,1779010,1781044,1782997,1784951,1786780,1788542,1790290,1791986,1793654,1795167,1796641,1798055,1799437,1800879,1802244,1803572,1804880,1806110,1807364,1808536,1809714,1810864,1811972,1813037,1814055,1815151,1816145,1817139,1818112,1819036,1819890,1820747,1821625,1822432,1823283,1824021,1824778,1825488,1826207,1826926,1827616,1828312,
75940,0,5,254,2213,9208,24577,49719,84942,128494,177306,230442,285817,341839,396881,450478,502230,551494,598959,643470,685619,725567,762611,797525,830419,861593,890839,917713,943369,967631,990461,1011887,1032364,1051668,1069597,1086488,1102646,1118047,1132605,1146491,1159543,1171848,1183678,1194831,1205421,1215615,1225392,1234720,1243407,1251881,1259963,1267636,1275114,1282339,1289128,1295676,1301963,1307989,1313817,1319449,1324890,1329967,1334859,1339643,1344279,1348682,1352874,1357099,1361152,1365087,1368879,1372457,1376106,1379623,1382973,1386119,1389117,1392118,1395053,1397855,1400599,1403213,1405737,1408218,1410558,1412859,1415088,1417297,1419462,1421532,1423588,1425514,1427514,1429398,1431165,1433025,1434653,1436327,1437875,1439405,1440860,1442320,1443745,1445214,1446606,1447917,1449231,1450464,1451729,1452912,1454110,1455314,1456450,1457586,1458636,1459667,1460711,1461723,1462706,1463726,
75950,0,0,38,484,2673,8409,19770,37514,61435,90989,125130,162470,201887,242048,283063,324105,363860,402892,440726,477368,511915,544894,576539,606843,635680,662998,688790,713265,736359,758611,779725,799905,818735,836919,854029,870301,885812,900564,914421,927920,940715,952983,964753,975758,986621,996904,1006649,1015961,1025078,1033552,1041733,1049776,1057253,1064634,1071748,1078529,1085065,1091538,1097663,1103612,1109194,1114607,1119831,1124970,1129794,1134327,1138948,1143431,1147712,1151824,1155865,1159724,1163496,1167148,1170644,1174048,1177268,1180474,1183585,1186586,1189408,1192272,1194947,1197721,1200326,1202820,1205234,1207573,1209811,1212033,1214245,1216374,1218456,1220439,1222395,1224331,1226288,1228143,1229941,1231703,1233435,1235081,1236707,1238295,1239878,1241389,1242877,1244341,1245738,1247115,1248449,1249744,1251017,1252239,1253477,1254608,1255763,1256888,1257950,
75960,0,0,3,81,564,2268,6282,13698,24754,39637,58573,80881,105291,131914,159749,188753,217965,247387,276686,305222,333502,360598,386944,412580,437236,460889,483895,505781,526791,546957,565925,584431,602064,619172,635198,650721,665470,679824,693618,706759,719219,731237,742922,753977,764528,774878,784700,794193,803249,812039,820576,828748,836530,843863,851183,858081,864734,871266,877555,883587,889432,895080,900365,905642,910717,915550,920426,925049,929415,933818,937885,941953,945961,949775,953492,957059,960520,964014,967339,970464,973686,976696,979573,982559,985296,987987,990707,993224,995797,998303,1000645,1002973,1005216,1007410,1009542,1011599,1013637,1015562,1017541,1019412,1021283,1023094,1024865,1026536,1028118,1029714,1031291,1032881,1034457,1035968,1037491,1038860,1040245,1041609,1042937,1044265,1045520,1046704,1047940,
75970,0,0,0,7,82,456,1516,3853,7980,14240,22796,33557,46444,61251,77586,95096,113814,133171,152976,173337,193503,213548,233556,253089,272333,291047,309488,327283,344639,361392,377904,393744,408791,423705,437889,451789,465007,477812,490086,501996,513297,524565,535306,545618,555720,565293,574492,583323,591938,600227,608244,615962,623321,630434,637344,644151,650728,657122,663127,669045,674820,680429,685905,691370,696459,701286,706130,710747,715210,719652,723916,728013,731991,735931,739709,743356,746913,750409,753913,757255,760461,763474,766468,769522,772468,775318,778071,780745,783385,785929,788420,790791,793160,795470,797713,799870,802004,804126,806116,808039,809911,811813,813599,815407,817113,818818,820481,822037,823689,825159,826714,828188,829636,831077,832452,833837,835219,836512,837772,
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76020,0,0,0,0,0,2,11,33,121,312,689,1324,2203,3500,5346,7556,10197,13346,16926,20936,25400,30301,35373,40948,46746,52674,58837,65170,71594,78041,84605,91270,97837,104424,110937,117452,123936,130427,136732,142975,149138,155313,161488,167308,173216,178921,184464,189844,195195,200448,205608,210714,215745,220771,225486,230118,234631,239092,243424,247645,251784,255823,259711,263562,267387,271026,274696,278215,281676,285029,288414,291731,294829,297915,300943,303891,306784,309610,312369,315089,317753,320297,322825,325273,327591,329925,332235,334511,336628,338813,340957,343114,345149,347162,349141,351040,352928,354796,356587,358293,359978,361628,363217,364809,366329,367868,369374,370858,372255,373726,375106,376415,377783,379056,380321,381591,382850,384114,385299,
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76090,0,0,0,0,0,0,0,0,0,0,0,0,0,3,6,18,33,49,72,114,172,277,367,483,625,820,1038,1292,1592,1911,2271,2669,3107,3596,4123,4704,5291,5896,6550,7278,8009,8782,9627,10440,11271,12191,13093,14021,14908,15840,16825,17766,18756,19703,20700,21713,22759,23752,24724,25722,26792,27784,28758,29772,30827,31829,32811,33817,34852,35833,36810,37770,38706,39685,40674,41581,42581,43481,44446,45432,46373,47281,48208,49125,50023,50893,51806,52648,53513,54381,55204,56048,56822,57595,58374,59154,59933,60753,61528,62216,62941,63681,64389,65079,65770,66475,67118,67808,68472,69141,69773,70400,70988,71616,72206,72811,73419,74017,74584,
76100,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,4,9,13,17,24,46,67,90,124,167,218,302,380,464,589,749,911,1083,1273,1495,1729,1993,2254,2540,2876,3232,3566,3948,4338,4722,5148,5625,6072,6543,6986,7490,7956,8471,8993,9538,10096,10631,11205,11778,12374,12956,13541,14130,14727,15326,15928,16561,17137,17736,18315,18860,19484,20104,20692,21263,21865,22445,23035,23630,24207,24800,25368,25934,26510,27068,27654,28233,28812,29346,29890,30433,30966,31519,32086,32649,33196,33736,34271,34800,35294,35824,36312,36802,37319,37816,38293,38779,39214,39657,40119,40559,40982,41442,41894,42323,42771,43179,43614,
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76130,0,101,1429,7453,21058,43685,74256,111217,151752,195324,239460,283599,327407,369421,410121,449228,486289,521708,555466,586857,616704,644678,671078,696152,720013,742554,763723,783793,802755,820798,837647,853759,869311,883933,897841,911187,923831,935864,947411,958298,968632,978697,988091,997292,1005939,1014360,1022302,1030070,1037433,1044471,1051408,1057926,1064237,1070299,1076196,1082030,1087507,1092768,1097828,1102637,1107301,1111768,1116123,1120302,1124352,1128334,1132096,1135860,1139371,1142811,1146171,1149556,1152752,1155831,1158799,1161736,1164606,1167308,1169950,1172462,1174998,1177513,1179944,1182269,1184597,1186842,1188953,1191074,1193028,1194889,1196834,1198562,1200372,1202080,1203768,1205470,1207133,1208695,1210255,1211850,1213349,1214822,1216236,1217584,1218902,1220240,1221565,1222840,1224044,1225218,1226402,1227513,1228626,1229697,1230861,1231924,1232971,1233885,1234882,
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76500,22,865,6089,19345,42034,72115,107088,145196,184100,222967,261471,298639,334446,368399,400644,431622,460722,487815,513838,538208,561397,583104,603657,622770,640892,658323,674859,690594,705641,719562,732711,745520,757516,769002,780070,790601,800610,810414,819742,828620,836948,845058,852919,860448,867486,874338,881015,887512,893571,899499,905143,910521,915860,920985,925989,930800,935473,939921,944223,948454,952448,956289,960113,963771,967309,970751,974115,977274,980354,983333,986218,989054,991844,994511,997037,999608,1002120,1004513,1006841,1009153,1011303,1013385,1015473,1017603,1019705,1021640,1023538,1025326,1027190,1028872,1030583,1032200,1033849,1035455,1037014,1038541,1040037,1041493,1042914,1044315,1045659,1047000,1048249,1049443,1050698,1051850,1053003,1054152,1055324,1056451,1057544,1058630,1059551,1060560,1061574,1062577,1063512,1064425,1065332,
76510,0,153,1572,6545,16566,32213,51914,75777,102115,129301,157071,185184,212983,240242,266445,291852,316585,339996,362375,383766,404321,423961,442575,460424,477159,493393,508760,523499,537431,550967,563754,576127,587969,599141,609919,620356,630221,639704,648798,657467,665905,674008,681790,689269,696369,703180,709765,716301,722585,728496,734250,739870,745188,750328,755289,760153,764891,769405,773825,778111,782335,786348,790134,793844,797436,800969,804276,807603,810752,813919,816991,819974,822892,825683,828456,831067,833770,836315,838730,841079,843400,845640,847776,849923,851968,854006,855991,857939,859792,861669,863416,865102,866829,868524,870110,871696,873304,874736,876245,877720,879115,880498,881802,883102,884405,885701,886979,888154,889393,890584,891779,892881,893994,894995,896051,897008,897958,898939,899887,
76520,0,60,687,3218,9160,19037,32931,50035,69730,91313,113866,137032,160411,183852,206515,228769,250102,270954,291320,310864,329401,347574,364752,381371,397377,412525,427018,441017,454229,466861,479245,490990,502201,512905,523137,533279,542790,551975,560868,569379,577518,585393,593014,600276,607337,614053,620773,627192,633384,639264,645076,650662,656032,661214,666303,671145,675835,680428,684883,689182,693193,697161,701034,704671,708305,711795,715170,718495,721847,725028,728145,731155,734053,736823,739542,742292,744905,747413,749787,752191,754448,756770,758945,761095,763151,765232,767288,769262,771193,773053,774861,776626,778371,780080,781692,783304,784900,786432,787985,789519,791034,792419,793779,795098,796408,797718,798966,800146,801370,802501,803608,804708,805852,806932,808021,809118,810195,811201,812134,
76530,0,8,273,1393,4492,10339,19351,31163,45270,61192,78317,96460,115106,133946,152981,171555,190167,208332,225920,243181,259829,275774,291381,306214,320813,334881,348349,361193,373732,385764,397083,408180,418678,428977,439026,448368,457523,466094,474773,482835,490907,498500,505818,512831,519629,526383,532665,538917,544926,550607,556240,561679,566967,571972,576845,581597,586177,590613,594894,599092,603244,607169,610950,614727,618273,621809,625306,628550,631824,634955,638053,641005,643851,646662,649374,652030,654680,657213,659668,662086,664403,666787,668944,671176,673226,675279,677332,679343,681232,683185,684953,686763,688556,690316,691954,693578,695171,696725,698252,699764,701191,702608,704010,705362,706712,707965,709224,710412,711655,712837,713987,715079,716253,717376,718503,719572,720574,721625,722665,
76540,0,4,80,542,2018,5053,10036,17378,26604,37483,49938,63277,77418,91878,106605,121574,136778,151654,166288,180744,195018,208804,222435,235858,248848,261208,273170,284738,295822,306685,317055,327203,337057,346381,355534,364450,372960,381285,389158,396899,404257,411331,418233,424820,431287,437543,443594,449426,455128,460675,466006,471227,476251,481198,485928,490556,495112,499466,503679,507770,511734,515578,519412,523040,526483,529874,533260,536592,539823,542997,546039,548894,551747,554570,557251,559893,562548,565088,567582,569984,572265,574554,576745,578906,580996,583105,585103,587119,589038,590975,592850,594656,596367,598095,599788,601414,602922,604474,605930,607403,608855,610274,611680,613023,614430,615724,617010,618314,619573,620769,621973,623079,624204,625241,626358,627379,628383,629360,630313,
76550,0,1,19,149,684,2018,4602,8573,13987,20631,28523,37320,47095,57462,68342,79736,91347,102978,114747,126315,137855,149314,160632,171686,182683,193149,203509,213480,223253,232688,241937,250903,259681,268042,276367,284310,291999,299408,306563,313530,320449,327068,333427,339584,345539,351560,357386,362986,368246,373354,378362,383318,388114,392765,397172,401485,405797,409945,413935,417815,421680,425229,428853,432365,435706,439087,442262,445429,448520,451518,454418,457277,460140,462872,465510,467995,470443,472872,475185,477490,479779,481978,484118,486195,488230,490198,492147,494117,496048,497888,499699,501354,503099,504834,506522,508172,509682,511139,512626,514107,515517,516965,518340,519667,521009,522331,523580,524825,526028,527158,528363,529478,530569,531666,532712,533710,534732,535751,536752,
76560,0,0,10,68,338,1054,2615,5114,8603,13284,19116,25743,33140,41340,49999,59193,68640,78283,88126,98140,107891,117689,127534,137307,146872,156117,165253,174345,183036,191597,199901,207995,215983,223570,231236,238593,245673,252606,259262,265747,271982,278055,283943,289919,295464,300928,306247,311384,316465,321382,326244,330885,335414,339790,344035,348112,352178,356063,359992,363797,367436,371045,374618,378013,381314,384465,387579,390598,393561,396465,399253,402037,404787,407429,409987,412547,414968,417259,419635,421933,424151,426273,428432,430496,432432,434405,436349,438278,440194,442036,443807,445434,447118,448727,450310,451852,453411,454864,456332,457755,459164,460614,461926,463262,464540,465807,467011,468200,469323,470517,471655,472719,473855,474854,475898,476931,477908,478918,479900,
76570,0,0,1,25,143,523,1286,2740,4923,8029,11887,16577,22007,28046,34561,41532,48916,56720,64591,72616,80801,89071,97067,105197,113340,121461,129329,137078,144673,152165,159505,166678,173815,180784,187420,194007,200544,206818,212947,218902,224645,230350,235888,241146,246425,251522,256513,261411,266285,270780,275100,279592,283783,287980,292026,295937,299830,303500,306995,310553,314004,317408,320690,323881,326964,329939,332885,335738,338680,341400,344024,346543,349043,351589,353959,356385,358783,361128,363452,365705,367836,369953,371940,373990,375934,377908,379766,381657,383381,385106,386794,388475,390073,391612,393120,394742,396289,397708,399067,400480,401868,403203,404497,405824,407075,408217,409407,410585,411716,412881,413988,415128,416164,417185,418235,419282,420350,421344,422272,
76580,0,0,0,4,44,200,573,1358,2652,4452,6942,9988,13614,17979,22795,27949,33433,39294,45405,51599,58073,64506,71037,77538,84148,90776,97399,104058,110493,116875,123244,129494,135649,141725,147584,153321,158978,164379,169751,174971,180186,185244,190321,195274,199988,204650,209112,213589,217927,222065,226209,230235,234127,237902,241719,245375,248819,252198,255621,258874,262093,265157,268211,271203,274146,277027,279798,282564,285167,287701,290311,292832,295192,297558,299851,302164,304350,306566,308671,310723,312769,314712,316756,318654,320499,322302,324039,325757,327431,329083,330729,332367,333917,335441,336955,338444,339850,341223,342620,343956,345264,346536,347790,349011,350195,351355,352558,353708,354783,355893,356958,358009,359067,360047,361033,361941,362918,363932,364822,
76590,0,0,0,0,8,63,228,521,1131,2107,3483,5221,7492,10220,13336,16845,20591,24586,28948,33418,38201,43161,48194,53229,58448,63720,68946,74258,79461,84644,89883,94991,100095,105182,110163,115114,119970,124842,129411,134039,138644,143036,147274,151479,155711,159746,163742,167592,171405,175237,178765,182394,185899,189305,192601,195899,199160,202323,205424,208391,211241,214083,216887,219623,222307,224862,227375,229892,232381,234773,237105,239427,241696,243898,246109,248167,250228,252216,254203,256129,258046,259908,261653,263491,265195,266890,268585,270172,271706,273274,274752,276261,277688,279078,280504,281949,283282,284616,285915,287154,288422,289631,290795,291971,293171,294312,295467,296547,297571,298651,299707,300782,301748,302687,303648,304600,305542,306451,307369,
76600,0,0,0,0,0,16,71,196,402,851,1494,2403,3588,5086,6831,8879,11244,13904,16794,19980,23252,26641,30256,33920,37780,41595,45541,49577,53481,57486,61376,65347,69362,73412,77372,81398,85370,89257,93076,96793,100583,104262,107780,111355,114824,118182,121547,124851,128040,131276,134396,137613,140472,143360,146192,148990,151733,154506,157221,160008,162602,165231,167745,170222,172549,174928,177129,179403,181558,183659,185789,187851,189843,191761,193658,195672,197562,199420,201213,203035,204812,206462,208143,209760,211366,212951,214451,215950,217447,218951,220392,221755,223167,224534,225805,227122,228391,229667,230872,232002,233152,234256,235359,236424,237485,238565,239590,240560,241594,242554,243534,244498,245379,246306,247194,248096,248969,249838,250679,
76610,0,0,0,0,0,2,18,55,137,323,597,1042,1642,2425,3424,4591,6031,7560,9446,11477,13681,16060,18540,21058,23700,26397,29294,32194,35169,38137,41282,44285,47420,50358,53384,56499,59631,62794,65939,68938,71999,74999,77947,80868,83744,86630,89409,92132,94848,97553,100244,102858,105490,108006,110471,112837,115219,117635,120005,122221,124468,126659,128794,130901,132932,134973,137003,138953,140857,142719,144521,146370,148237,150069,151713,153452,155143,156742,158373,159936,161511,163021,164478,165955,167347,168724,170117,171480,172828,174055,175361,176628,177798,178981,180207,181404,182536,183691,184760,185808,186834,187877,188933,189940,190975,191944,192925,193815,194802,195710,196610,197483,198332,199181,200011,200798,201578,202368,203135,
76620,0,0,0,0,0,1,2,8,37,83,172,343,591,970,1475,2040,2737,3551,4566,5703,6938,8288,9841,11373,13017,14856,16662,18610,20523,22521,24651,26753,28953,31132,33309,35568,37745,39989,42256,44506,46783,49033,51243,53497,55738,57968,60166,62393,64528,66688,68785,70774,72784,74879,76874,78776,80731,82683,84555,86363,88223,90100,91896,93691,95322,96995,98667,100316,101978,103638,105196,106740,108267,109785,111279,112774,114200,115618,117041,118409,119721,121061,122305,123524,124750,125953,127196,128367,129509,130678,131733,132891,133969,135033,136076,137074,138107,139101,140061,141048,141957,142904,143781,144698,145606,146505,147349,148188,149002,149847,150617,151422,152134,152926,153660,154442,155167,155958,156678,
76630,0,0,0,0,0,0,0,0,6,19,39,80,149,268,401,605,886,1215,1635,2101,2654,3323,4019,4824,5670,6628,7636,8691,9782,10967,12212,13500,14833,16235,17584,18980,20328,21793,23211,24685,26209,27689,29208,30775,32296,33784,35331,36866,38373,39947,41488,43012,44490,46011,47446,48962,50424,51821,53184,54579,55953,57295,58609,59900,61163,62497,63797,65078,66333,67519,68766,70014,71225,72429,73597,74758,75894,76992,78114,79177,80252,81275,82331,83406,84402,85399,86365,87305,88221,89135,90072,90980,91887,92767,93623,94519,95366,96145,96941,97743,98499,99280,100068,100816,101578,102310,103042,103787,104485,105229,105884,106557,107215,107868,108508,109144,109760,110380,110997,
76640,0,0,0,0,0,0,0,1,1,2,3,12,22,41,63,106,152,221,319,443,598,825,1052,1330,1642,1989,2359,2786,3192,3683,4259,4833,5437,6055,6635,7358,8058,8834,9590,10365,11170,11980,12797,13633,14464,15329,16194,17065,17932,18826,19746,20579,21513,22438,23346,24226,25141,25994,26882,27775,28656,29555,30374,31257,32157,33032,33905,34741,35603,36464,37331,38165,38969,39695,40477,41254,42061,42778,43585,44313,45045,45815,46591,47335,48045,48761,49445,50091,50800,51506,52167,52788,53438,54072,54709,55299,55965,56564,57184,57785,58332,58917,59517,60056,60599,61122,61748,62282,62806,63325,63859,64347,64864,65340,65858,66360,66853,67297,67741,
766535,11023,68341,164657,274965,382827,482624,572722,652974,724499,787643,843581,893644,938594,979224,1015537,1048710,1078905,1106427,1131514,1154679,1176254,1196320,1214686,1231912,1247773,1262606,1276418,1289288,1301457,1313019,1323770,1333966,1343456,1352554,1361194,1369245,1376988,1384376,1391472,1398202,1404373,1410449,1416167,1421676,1426957,1432101,1437004,1441753,1446297,1450592,1454799,1458770,1462548,1466332,1469778,1473286,1476594,1479783,1482846,1485734,1488618,1491359,1493990,1496605,1499117,1501544,1503802,1505993,1508225,1510317,1512343,1514399,1516367,1518302,1520135,1521896,1523535,1525185,1526796,1528332,1529838,1531293,1532724,1534152,1535506,1536893,1538211,1539521,1540728,1541955,1543158,1544258,1545436,1546506,1547577,1548610,1549672,1550657,1551588,1552545,1553495,1554374,1555244,1556119,1556970,1557779,1558583,1559350,1560064,1560788,1561461,1562178,1562878,1563543,1564188,1564789,1565415,1566003,1566633,
76662,1679,18604,61523,122702,192430,264532,334271,400556,461867,518063,569596,616515,659904,699401,735895,768993,799858,828595,854675,878810,901591,922674,942128,960767,978154,994414,1009754,1024263,1037802,1050610,1062557,1073768,1084521,1094740,1104583,1113761,1122639,1131054,1139028,1146554,1153936,1160755,1167353,1173858,1180075,1185939,1191440,1196794,1202057,1207004,1211737,1216391,1220825,1225051,1229162,1233134,1237027,1240667,1244314,1247723,1251109,1254376,1257449,1260450,1263418,1266130,1268950,1271615,1274129,1276611,1279027,1281380,1283641,1285851,1288005,1290024,1292014,1293938,1295764,1297643,1299416,1301178,1302871,1304592,1306267,1307881,1309445,1310911,1312323,1313723,1315126,1316526,1317889,1319095,1320348,1321568,1322745,1323912,1325026,1326234,1327350,1328426,1329489,1330524,1331498,1332441,1333369,1334299,1335175,1336044,1336912,1337749,1338597,1339373,1340136,1340851,1341642,1342381,1343094,
76670,437,7781,30923,69930,119571,174552,230732,285643,338457,388045,434667,477855,518074,555619,590028,622065,651803,679710,705591,729805,752333,773458,793570,812313,829637,846345,861598,876216,890040,903055,915465,927183,938345,948908,959036,968744,978059,986691,995175,1003060,1010489,1017859,1024765,1031579,1037911,1044144,1050016,1055840,1061301,1066571,1071705,1076598,1081310,1085845,1090175,1094443,1098476,1102366,1106235,1109881,1113472,1116913,1120273,1123464,1126693,1129742,1132600,1135425,1138148,1140853,1143435,1145916,1148382,1150769,1153115,1155375,1157531,1159583,1161651,1163634,1165598,1167468,1169288,1171015,1172740,1174337,1176041,1177614,1179189,1180746,1182242,1183696,1185173,1186597,1187963,1189273,1190623,1191912,1193082,1194282,1195464,1196594,1197671,1198811,1199879,1200966,1202011,1203057,1204092,1205058,1206023,1206984,1207880,1208754,1209603,1210413,1211277,1212096,1212898,
76680,70,2349,12684,34013,64954,102338,143292,185533,227453,268771,308467,346244,381782,415299,446995,477048,504912,530911,555517,578611,600319,620736,639976,658130,675295,691361,706776,721241,735159,748264,760842,772747,783996,794777,805147,814951,824493,833545,842066,850358,858094,865624,872812,879909,886440,892924,898955,904799,910436,916003,921290,926355,931345,936218,940955,945415,949766,953945,957957,961766,965469,968944,972598,975949,979221,982490,985640,988640,991512,994356,997075,999716,1002316,1004852,1007424,1009823,1012251,1014523,1016761,1018943,1021053,1023014,1024993,1026843,1028676,1030459,1032236,1033847,1035600,1037208,1038740,1040306,1041819,1043355,1044774,1046179,1047546,1048912,1050245,1051545,1052815,1054049,1055249,1056414,1057582,1058700,1059779,1060849,1061873,1062905,1063903,1064884,1065857,1066790,1067735,1068657,1069490,1070381,1071212,
76690,8,535,3871,12870,28552,49973,75709,104314,134589,165198,195422,224796,254061,282050,308766,334442,358616,381759,404093,425016,444867,463780,481640,498954,515183,530427,544962,558766,572096,584985,597114,608655,619698,630342,640476,650213,659485,668413,676999,685133,693156,700768,707943,714855,721496,728008,734080,739982,745857,751519,757093,762226,767347,772270,776869,781306,785891,790143,794320,798261,802148,805844,809582,813053,816431,819888,823102,826243,829260,832111,835023,837844,840565,843259,845791,848304,850799,853126,855372,857636,859830,861940,864006,865977,867924,869892,871797,873677,875420,877151,878892,880522,882115,883711,885200,886652,888123,889577,891036,892413,893714,895021,896268,897471,898660,899884,900983,902130,903249,904290,905391,906415,907422,908441,909444,910340,911275,912188,913090,
76700,1,181,1823,7019,16992,31844,50476,72512,96045,121207,146842,172071,197022,221698,245376,268129,290324,311467,331688,351382,369953,387660,404516,420795,436041,450600,464600,477880,490489,502751,514451,525798,536618,546922,556832,566263,575430,584342,592840,600853,608587,616054,623100,630045,636702,643075,649399,655381,661283,666839,672105,677353,682214,687014,691686,696324,700656,704831,708937,712993,716928,720775,724445,727988,731365,734719,737985,741068,744243,747186,750052,752884,755595,758263,760868,763391,765908,768320,770536,772820,775042,777177,779233,781307,783315,785284,787188,789069,790860,792573,794282,795996,797577,799169,800732,802232,803805,805283,806828,808169,809592,810944,812312,813549,814768,815959,817137,818261,819422,820546,821607,822676,823717,824766,825759,826748,827626,828560,829508,
76710,0,59,700,3247,9099,18742,31652,47323,65222,84642,104719,125430,146290,166881,187502,206969,226359,245153,263035,280296,297067,313204,328849,343729,358036,371824,384710,397281,409368,420918,431998,442694,453061,462983,472524,481630,490342,498787,506836,514700,522174,529354,536241,542992,549622,555869,561898,567943,573638,579236,584595,589738,594641,599490,604145,608688,613001,617197,621251,625308,629240,632870,636555,640116,643534,646912,650124,653244,656313,659294,662179,665045,667853,670399,672932,675494,677877,680205,682564,684838,687073,689237,691282,693398,695421,697365,699220,701103,702983,704721,706476,708193,709875,711458,713072,714670,716173,717602,719027,720461,721843,723202,724490,725848,727107,728324,729479,730647,731828,732983,734047,735118,736228,737326,738378,739392,740406,741372,742274,
76720,0,13,262,1405,4294,9643,17803,28218,40438,54404,69575,85449,101672,118135,134652,151209,167470,183683,199240,214394,229216,243454,257102,270442,283321,295777,307650,319277,330296,341004,351325,361354,370845,380099,388933,397621,405825,413659,421300,428760,435928,442819,449408,455863,461973,468007,473942,479663,484961,490355,495539,500475,505404,509955,514516,518868,523158,527316,531336,535247,539072,542785,546356,549726,553050,556268,559475,562618,565602,568530,571389,574240,577050,579712,582347,584860,587254,589626,591984,594251,596505,598701,600763,602829,604918,606892,608784,610684,612535,614326,616065,617763,619423,621045,622575,624118,625649,627182,628641,630062,631477,632859,634219,635462,636738,637986,639224,640338,641509,642635,643693,644738,645859,646926,647890,648907,649875,650848,651854,
76730,0,4,78,504,1751,4388,8604,14674,22311,31402,41740,52888,64897,77161,89778,102786,115874,128792,141592,154242,166343,178454,190183,201532,212637,223578,234167,244390,254357,264010,273231,282096,290871,299302,307403,315128,322788,330085,337136,343971,350557,357068,363260,369370,375309,380922,386547,391953,397149,402142,407065,411777,416468,420880,425159,429298,433448,437526,441420,445221,448845,452453,455952,459276,462647,465897,468924,471970,474895,477741,480606,483251,485866,488451,490913,493350,495761,497992,500292,502578,504721,506852,508996,511063,513026,514955,516844,518621,520424,522179,523913,525541,527133,528732,530299,531822,533381,534860,536276,537684,539067,540430,541725,543000,544244,545527,546698,547834,548969,550110,551284,552341,553377,554457,555435,556406,557402,558367,559291,
76740,0,1,34,224,903,2472,5227,9265,14584,21215,29066,37763,47375,57334,67668,78333,89234,100280,111172,122138,132828,143275,153676,163772,173637,183448,192992,202276,211221,220041,228536,236781,244821,252684,260300,267677,274758,281664,288329,294686,301028,307084,312968,318698,324264,329671,334961,340037,344943,349697,354285,358841,363303,367587,371900,375949,379833,383713,387401,391040,394563,397998,401370,404592,407713,410747,413774,416720,419559,422413,425204,427837,430446,433046,435580,438031,440465,442757,444976,447102,449232,451247,453283,455296,457263,459154,460949,462676,464534,466238,467954,469539,471139,472740,474263,475816,477227,478620,480014,481366,482715,484079,485373,486628,487876,489119,490281,491424,492488,493590,494652,495735,496782,497790,498849,499821,500772,501733,502620,
76750,0,0,3,75,393,1223,2823,5366,8935,13663,19198,25587,32643,40349,48451,56906,65686,74562,83525,92648,101661,110820,119847,128646,137221,145782,154087,162166,170257,178023,185620,192947,200246,207451,214356,220960,227602,233974,240135,246122,252025,257784,263285,268660,273877,278981,283975,288755,293417,297905,302326,306665,310810,314855,318815,322650,326372,330103,333627,337192,340576,343860,346984,350060,353106,356096,359002,361806,364565,367177,369917,372526,375010,377360,379854,382131,384372,386599,388651,390745,392854,394846,396851,398721,400563,402388,404088,405864,407611,409332,410960,412583,414210,415810,417320,418809,420275,421689,423022,424349,425667,426947,428188,429405,430642,431805,433001,434147,435254,436370,437426,438524,439566,440604,441580,442559,443500,444440,445338,
76760,0,0,2,26,147,537,1342,2743,4889,7725,11377,15737,20635,26021,32275,38728,45536,52612,59884,67191,74571,81770,89169,96420,103837,111064,118304,125257,132090,138692,145295,151913,158290,164464,170567,176529,182395,188023,193568,198897,204201,209442,214418,219207,224010,228691,233185,237609,241907,246113,250168,254049,258013,261795,265514,269128,272571,275949,279264,282599,285719,288756,291805,294744,297507,300258,302988,305769,308280,310833,313368,315823,318127,320448,322732,324931,327180,329266,331344,333388,335400,337303,339238,341108,342920,344747,346531,348164,349886,351449,353048,354652,356131,357555,358996,360408,361787,363170,364483,365776,367082,368305,369518,370713,371884,373055,374221,375355,376453,377534,378600,379555,380570,381559,382543,383522,384447,385319,386255,
76770,0,0,0,6,55,213,554,1292,2389,3980,6116,8894,12117,15802,19933,24471,29252,34351,39691,45050,50787,56431,62274,68129,73925,79819,85568,91387,97163,102721,108303,113899,119403,124715,129841,135039,140063,144960,149846,154548,159106,163612,167921,172290,176500,180574,184556,188540,192323,196019,199734,203268,206817,210122,213469,216814,219968,223134,226243,229267,232182,234985,237750,240497,243138,245722,248169,250639,253090,255471,257761,260025,262185,264323,266427,268527,270634,272609,274594,276495,278353,280161,281961,283660,285373,287052,288707,290340,291907,293433,294978,296445,297946,299317,300797,302152,303491,304741,306014,307242,308486,309633,310775,311963,313154,314210,315296,316358,317407,318422,319489,320524,321480,322383,323289,324244,325185,326085,326956,
76780,0,0,0,0,13,52,183,434,926,1713,2782,4310,6188,8321,10897,13821,16960,20359,23981,27828,31816,35880,40091,44428,48873,53266,57566,62089,66514,70993,75360,79689,83973,88426,92600,96821,101141,105209,109304,113337,117254,121155,124979,128617,132296,135911,139500,142858,146104,149335,152438,155568,158663,161704,164683,167665,170465,173253,175957,178603,181239,183738,186231,188609,191084,193464,195742,197962,200040,202186,204280,206266,208321,210307,212170,214141,216000,217806,219561,221243,222953,224577,226153,227813,229359,230920,232384,233903,235403,236837,238291,239746,241078,242388,243707,244974,246218,247389,248612,249766,250938,252092,253203,254305,255303,256390,257407,258423,259416,260341,261298,262155,263057,264005,264848,265733,266595,267379,268202,
76790,0,0,0,0,2,15,51,161,356,713,1253,2014,3044,4319,5787,7527,9473,11714,14029,16500,19229,22082,25089,28107,31308,34587,37932,41310,44666,48063,51466,54923,58413,61913,65246,68633,71991,75341,78752,82008,85328,88514,91582,94658,97652,100679,103658,106544,109351,112196,115003,117615,120340,122818,125324,127754,130217,132707,135033,137398,139685,141976,144255,146379,148533,150525,152567,154469,156484,158418,160290,162066,163833,165654,167394,169082,170796,172350,173967,175517,177094,178598,180081,181588,183032,184407,185760,187104,188472,189783,191065,192316,193494,194699,195896,197059,198192,199332,200395,201460,202490,203559,204545,205567,206542,207479,208468,209397,210326,211258,212132,213056,213908,214777,215587,216380,217200,217953,218712,
76800,0,0,0,0,0,2,11,36,111,224,402,672,1132,1680,2434,3327,4372,5604,6955,8507,10194,11995,13904,15932,18021,20145,22357,24585,26959,29331,31828,34268,36770,39242,41781,44234,46696,49183,51696,54262,56683,59087,61527,63994,66444,68714,71081,73424,75660,77850,80102,82341,84450,86605,88699,90791,92859,94883,96837,98738,100634,102500,104319,106164,107960,109719,111452,113197,114892,116482,118062,119673,121254,122745,124187,125666,127157,128534,129912,131318,132661,133962,135356,136673,137905,139100,140285,141478,142680,143807,144995,146109,147145,148236,149292,150272,151269,152271,153282,154255,155218,156131,157057,157975,158871,159769,160586,161436,162294,163110,163896,164652,165401,166163,166893,167661,168428,169126,169791,
76810,0,0,0,0,0,0,1,7,21,49,99,172,301,497,781,1128,1556,2070,2652,3347,4140,5044,5987,7009,8123,9323,10622,11894,13254,14727,16230,17787,19345,20922,22498,24186,25866,27554,29260,30939,32602,34386,36009,37720,39415,41101,42755,44509,46127,47852,49478,51062,52687,54305,55877,57434,59009,60540,62063,63623,65076,66464,67899,69293,70625,72012,73344,74741,76095,77410,78732,79999,81227,82456,83642,84803,86030,87176,88342,89485,90580,91694,92792,93855,94899,95933,96889,97873,98880,99846,100804,101769,102704,103633,104548,105408,106264,107100,107912,108729,109547,110376,111110,111895,112582,113330,114036,114744,115436,116157,116852,117529,118192,118836,119469,120074,120693,121295,121914,
76820,0,0,0,0,0,0,0,0,0,1,8,20,44,82,142,209,298,417,570,786,1040,1357,1698,2082,2472,2958,3425,3965,4589,5225,5891,6574,7276,7997,8758,9597,10438,11280,12237,13114,14044,14971,15897,16823,17827,18856,19797,20819,21802,22796,23801,24818,25818,26772,27821,28817,29710,30690,31674,32668,33619,34572,35497,36402,37300,38233,39106,40067,40912,41737,42633,43484,44396,45277,46147,46952,47768,48579,49362,50141,50938,51778,52539,53328,54077,54786,55484,56170,56944,57647,58324,59049,59702,60372,61023,61687,62361,63043,63717,64348,64953,65530,66131,66700,67277,67811,68389,68936,69463,69997,70521,71087,71605,72099,72625,73121,73604,74079,74526,
7683148,19260,94210,203087,318222,426709,524111,610341,686410,753486,812423,864872,911579,953212,990542,1024525,1054980,1082850,1108251,1131648,1153342,1173083,1191506,1208668,1224769,1239732,1253500,1266360,1278643,1289951,1300796,1311038,1320555,1329707,1338251,1346405,1353954,1361170,1368136,1374830,1381099,1387255,1392916,1398321,1403495,1408494,1413384,1418000,1422353,1426648,1430639,1434456,1438335,1441937,1445402,1448699,1451987,1455117,1458183,1461143,1463924,1466691,1469258,1471888,1474361,1476758,1479048,1481248,1483399,1485511,1487511,1489475,1491398,1493238,1495002,1496704,1498390,1500079,1501727,1503257,1504771,1506216,1507746,1509152,1510477,1511763,1513018,1514251,1515446,1516653,1517799,1518907,1519983,1521079,1522127,1523198,1524235,1525227,1526154,1527121,1528043,1528913,1529795,1530674,1531488,1532303,1533093,1533840,1534628,1535353,1536097,1536808,1537496,1538134,1538799,1539435,1539973,1540611,1541240,1541836,
76845,3669,30331,84786,156182,232291,307052,377314,442649,502053,556603,605956,650715,691629,728911,762857,794265,823342,849807,874511,897358,918644,938429,956895,973984,990151,1005290,1019277,1032487,1045097,1056779,1068019,1078461,1088596,1098053,1107144,1115841,1124080,1131944,1139502,1146542,1153314,1159734,1166234,1172245,1178072,1183437,1188629,1193648,1198511,1203239,1207705,1211985,1216239,1220230,1224099,1227836,1231401,1234922,1238286,1241624,1244731,1247853,1250774,1253612,1256346,1259017,1261647,1264092,1266514,1268919,1271198,1273372,1275596,1277728,1279775,1281777,1283725,1285591,1287392,1289176,1290923,1292556,1294160,1295662,1297198,1298803,1300282,1301746,1303118,1304523,1305902,1307189,1308456,1309735,1310939,1312145,1313280,1314375,1315481,1316553,1317546,1318583,1319572,1320630,1321571,1322502,1323346,1324278,1325094,1325926,1326740,1327533,1328342,1329080,1329894,1330627,1331323,1332046,1332736,
76850,1171,13871,46292,94748,151642,211423,270448,326890,379947,428907,474304,516050,554844,590808,623844,654129,682212,708883,733233,756004,777298,797231,815724,833210,849504,865009,879533,893148,906095,918188,929943,940959,951384,961273,970724,979745,988263,996466,1004142,1011759,1018851,1025686,1032202,1038387,1044322,1050073,1055622,1061038,1066089,1071021,1075666,1080328,1084782,1088943,1093068,1096973,1100848,1104630,1108264,1111715,1115090,1118326,1121296,1124381,1127332,1130218,1132942,1135637,1138304,1140843,1143263,1145685,1147978,1150231,1152316,1154333,1156350,1158475,1160467,1162396,1164226,1166043,1167770,1169410,1171116,1172767,1174370,1175883,1177363,1178805,1180226,1181640,1183029,1184340,1185596,1186916,1188166,1189399,1190581,1191688,1192780,1193904,1195009,1196068,1197106,1198098,1199076,1200036,1200997,1201916,1202817,1203690,1204593,1205410,1206228,1207030,1207766,1208527,1209287,
76860,247,4930,20920,49801,87894,131201,176086,221030,265024,307134,346756,384047,419239,451812,482552,510970,538021,563158,586758,608639,629165,648532,666792,684245,700508,715977,730287,743957,757202,769660,781410,792497,803254,813367,822986,832247,841039,849469,857573,865234,872565,879716,886572,893105,899436,905381,911172,916803,922193,927360,932332,937228,941906,946488,950916,955127,959231,963151,966897,970518,974030,977424,980699,983892,987010,990060,992940,995671,998374,1001124,1003767,1006295,1008726,1011079,1013343,1015657,1017812,1019959,1022044,1024118,1026045,1027921,1029764,1031542,1033358,1035026,1036722,1038272,1039900,1041427,1042963,1044429,1045869,1047360,1048737,1050101,1051488,1052801,1054050,1055319,1056581,1057700,1058777,1059899,1060992,1062039,1063089,1064169,1065166,1066115,1067077,1068060,1068994,1069880,1070723,1071583,1072425,1073255,1074105,
76870,32,1301,7567,21371,42421,69125,99417,131765,164622,197449,229220,260168,289418,317668,344585,370066,394079,416959,438491,458962,478456,496647,513908,530211,545702,560461,574669,587991,600686,612740,624250,635276,645813,655840,665538,674707,683445,691933,700061,707921,715346,722530,729349,735963,742382,748482,754415,760288,765617,770891,775991,780968,785742,790342,794786,799034,803272,807215,811166,814940,818619,822260,825708,829068,832285,835560,838616,841571,844431,847222,849931,852480,855023,857576,860006,862420,864727,866910,869073,871187,873311,875325,877326,879271,881021,882930,884668,886427,888148,889777,891429,892977,894490,895990,897428,898844,900300,901690,902977,904215,905525,906813,908043,909152,910258,911419,912555,913667,914688,915716,916760,917743,918747,919751,920692,921604,922544,923413,924248,
76880,11,516,3828,12226,26654,46044,69408,95380,122542,149925,177422,204264,230406,255791,280078,303032,325002,346359,366648,385786,403687,420911,437654,453312,468433,482571,496314,509263,521602,533263,544568,555354,565699,575420,584987,593921,602573,610886,618824,626469,633891,641107,647809,654459,660814,667019,673040,678751,684319,689494,694678,699499,704293,708877,713261,717455,721814,725889,729828,733604,737216,740804,744361,747749,750988,754136,757263,760202,763185,765995,768767,771540,774151,776675,779147,781553,783879,786176,788465,790603,792673,794682,796647,798607,800539,802360,804183,805980,807742,809388,811045,812598,814149,815732,817247,818689,820092,821490,822832,824183,825491,826783,827979,829231,830386,831576,832697,833854,834906,836028,837054,838103,839119,840056,841050,841982,842893,843798,844710,
76890,0,189,1640,6371,15302,28447,45095,64455,85190,107288,129781,152236,174504,196465,217586,238002,257763,276655,294963,312531,329163,345135,360659,375353,389497,402952,415820,428169,439941,451086,461836,472212,482078,491476,500649,509573,517963,526066,533929,541482,548845,555764,562564,569120,575364,581442,587149,592832,598283,603556,608564,613441,618173,622754,627210,631474,635730,639794,643706,647473,651135,654809,658257,661739,664946,668185,671357,674335,677224,680093,682826,685566,688271,690786,693191,695629,697934,700226,702458,704634,706710,708802,710798,712624,714516,716365,718184,719881,721641,723324,724947,726545,728110,729666,731202,732732,734175,735580,736974,738275,739634,740917,742183,743433,744641,745856,747017,748099,749195,750254,751283,752279,753267,754215,755254,756196,757138,758012,758915,
76900,0,59,636,2883,7876,15881,26906,40253,55564,72180,89762,107601,125698,143687,161517,178814,195978,212510,228348,243646,258529,273105,287063,300458,313396,325702,337599,349063,360015,370660,380788,390466,399963,409044,417652,426029,433985,441730,449239,456482,463574,470327,476828,483110,489038,494921,500479,506017,511413,516558,521574,526362,531036,535586,539972,544166,548204,552249,556065,559742,563447,567007,570463,573729,577025,580107,583296,586292,589170,591992,594713,597364,599980,602480,604926,607335,609675,611930,614084,616242,618455,620518,622562,624451,626389,628353,630190,631943,633685,635385,637082,638787,640412,641932,643454,644917,646378,647807,649161,650505,651826,653116,654355,655591,656811,658034,659175,660322,661396,662453,663510,664545,665521,666569,667575,668527,669488,670394,671304,
76910,0,16,218,1155,3519,7727,14143,22645,32825,44200,56626,69969,83756,97650,111650,125561,139612,153472,166837,179922,192804,205165,217182,229026,240362,251341,261990,272203,282155,291668,300787,309815,318503,326976,334981,342599,349963,357289,364171,370921,377534,383731,389798,395646,401346,406951,412280,417483,422679,427712,432459,437067,441498,445807,449931,454099,457910,461770,465501,469175,472737,476107,479536,482822,486002,489082,492055,495013,497711,500454,503149,505757,508388,510922,513358,515812,518173,520445,522621,524703,526811,528910,530917,532901,534842,536626,538458,540230,541944,543624,545231,546763,548315,549854,551396,552861,554312,555696,557064,558460,559812,561121,562391,563615,564776,565953,567091,568193,569290,570466,571550,572609,573571,574532,575525,576542,577473,578370,579222,
76920,0,4,74,497,1798,4508,8649,14333,21836,30446,40242,50882,61869,73199,84821,96763,108574,120437,132287,143926,155208,166323,176891,187655,198047,207870,217581,227051,236316,245197,253691,262008,270120,277711,285196,292443,299400,306175,312893,319529,325749,331684,337580,343311,348793,354107,359314,364327,369171,373813,378354,382838,387181,391390,395534,399586,403443,407198,410766,414286,417701,421089,424247,427420,430428,433457,436390,439218,442037,444716,447446,450016,452584,455141,457520,459907,462224,464477,466624,468763,470763,472793,474784,476685,478549,480329,482104,483822,485508,487189,488770,490362,491878,493449,494995,496450,497893,499307,500642,501944,503218,504534,505764,506961,508214,509392,510534,511636,512713,513818,514864,515880,516946,517920,518901,519956,520829,521735,522680,
76930,0,1,24,219,937,2442,5101,8944,13962,20249,27333,35266,43582,52682,62057,71830,81599,91625,101466,111530,121326,130926,140243,149630,158788,167530,176078,184677,192914,200823,208700,216346,223734,230947,237818,244533,251188,257562,263709,269822,275573,281193,286669,291870,296987,302098,306969,311733,316467,320981,325311,329628,333810,337781,341697,345425,349025,352591,356001,359459,362831,366211,369271,372338,375327,378275,381135,383915,386636,389232,391734,394228,396585,398988,401295,403484,405667,407788,409904,411903,413892,415853,417757,419660,421424,423239,424949,426655,428305,429890,431483,433044,434533,435980,437405,438828,440227,441583,442903,444231,445498,446764,447978,449158,450287,451464,452585,453681,454744,455817,456865,457919,458922,460013,461015,461966,462894,463820,464762,
76940,0,1,8,82,372,1112,2556,4753,7853,11886,16764,22527,28832,35784,42961,50449,58298,66235,74308,82362,90329,98385,106324,114168,121809,129491,137092,144594,151628,158623,165480,172213,178769,185240,191469,197452,203357,209175,214893,220405,225718,230845,235834,240822,245524,250287,254726,259102,263436,267615,271560,275496,279260,283001,286673,290168,293654,297111,300446,303620,306842,309891,312888,315863,318692,321432,324120,326679,329265,331693,334172,336560,338874,341105,343359,345529,347651,349785,351817,353780,355668,357612,359481,361236,363047,364815,366506,368135,369760,371301,372829,374322,375792,377201,378619,380035,381404,382723,383988,385252,386461,387656,388929,390065,391205,392330,393433,394505,395551,396562,397613,398657,399575,400542,401490,402415,403420,404281,405176,
76950,0,0,1,24,137,429,1091,2309,4071,6464,9454,13030,17285,22059,27047,32365,38217,44264,50363,56665,63055,69456,75758,82159,88509,94927,101231,107564,113574,119587,125601,131382,137091,142724,148173,153450,158752,163850,168817,173664,178392,183087,187552,191899,196233,200358,204504,208462,212239,216062,219820,223397,226972,230413,233705,236922,240106,243301,246386,249329,252195,255027,257839,260567,263311,265826,268323,270786,273233,275545,277843,280152,282369,284559,286629,288627,290654,292639,294523,296357,298253,300084,301944,303714,305345,307010,308650,310231,311794,313303,314746,316181,317557,318883,320248,321531,322856,324112,325397,326610,327751,328844,329975,331081,332173,333280,334311,335386,336427,337440,338360,339306,340236,341157,342050,342929,343882,344734,345553,
76960,0,0,0,6,30,133,401,894,1709,2938,4623,6669,9202,12123,15358,18955,22676,26726,31034,35551,40218,45002,49850,54737,59401,64331,69234,74159,78955,83789,88583,93355,98078,102815,107291,111784,116128,120281,124401,128493,132503,136488,140465,144306,148013,151609,155220,158691,162009,165297,168573,171822,174865,178025,180996,183811,186726,189513,192302,194980,197598,200146,202670,205101,207574,209950,212317,214477,216617,218791,220855,222887,224915,226853,228773,230659,232514,234247,236096,237881,239565,241219,242825,244435,245993,247553,249047,250527,252019,253435,254747,256151,257423,258780,260058,261280,262489,263704,264874,265991,267138,268198,269355,270419,271407,272444,273490,274457,275412,276390,277326,278281,279207,280029,280964,281822,282584,283398,284210,
76970,0,0,0,0,6,34,119,298,662,1271,2082,3209,4567,6250,8277,10515,13150,15855,18793,21898,25161,28438,31822,35453,39097,42762,46529,50358,54160,57881,61591,65351,68994,72718,76394,80004,83651,87171,90606,94019,97380,100607,103789,106997,110219,113337,116486,119520,122527,125432,128233,130996,133699,136468,139068,141643,144153,146680,149101,151464,153775,156036,158255,160377,162513,164681,166727,168729,170680,172661,174561,176418,178322,180072,181840,183586,185274,186869,188512,190102,191697,193229,194739,196187,197590,198984,200343,201693,202971,204237,205544,206802,208044,209283,210517,211707,212807,213923,215005,216068,217104,218131,219118,220124,221117,222082,223020,223950,224902,225834,226677,227563,228409,229210,230015,230798,231630,232417,233188,
76980,0,0,0,0,1,6,17,80,205,410,757,1235,1891,2692,3739,4950,6275,7877,9606,11585,13656,15808,18052,20373,22791,25387,27960,30549,33180,35850,38682,41430,44128,46915,49713,52439,55181,57935,60687,63415,66113,68739,71311,73818,76407,78905,81261,83776,86157,88527,90819,93079,95354,97671,99869,102004,104133,106226,108295,110264,112256,114233,116101,117971,119752,121644,123445,125158,126844,128544,130252,131901,133519,135026,136567,137985,139498,140993,142407,143819,145154,146519,147875,149242,150497,151743,153004,154179,155332,156464,157625,158779,159862,160941,162018,163059,164124,165098,165996,166990,167906,168885,169744,170647,171540,172365,173171,174064,174872,175694,176481,177291,178093,178816,179641,180377,181134,181810,182503,
76990,0,0,0,0,0,1,8,19,41,88,170,320,527,847,1264,1767,2385,3057,3842,4709,5701,6804,8006,9313,10712,12197,13647,15208,16844,18509,20222,22033,23787,25612,27496,29284,31093,32962,34759,36600,38472,40354,42293,44147,45892,47776,49546,51304,53045,54858,56564,58365,60082,61693,63312,64982,66641,68205,69850,71421,72987,74488,76007,77444,78878,80307,81708,83118,84489,85848,87174,88499,89782,91036,92286,93521,94733,95961,97112,98284,99385,100487,101567,102595,103638,104672,105656,106702,107720,108765,109708,110687,111631,112541,113408,114293,115235,116073,116867,117701,118547,119378,120183,120906,121645,122370,123082,123752,124418,125186,125874,126572,127259,127897,128546,129209,129826,130465,131075,
77000,0,0,0,0,0,0,0,0,4,12,24,51,86,140,218,323,474,697,933,1246,1607,1990,2436,2915,3437,3995,4629,5316,6052,6839,7651,8469,9354,10208,11171,12208,13220,14184,15154,16183,17190,18222,19310,20377,21466,22544,23634,24747,25853,26922,27959,29020,30101,31149,32186,33296,34382,35403,36474,37522,38545,39547,40581,41616,42584,43556,44510,45453,46402,47325,48245,49152,50022,50935,51785,52650,53527,54336,55180,56005,56849,57654,58439,59245,60020,60797,61553,62313,63091,63763,64501,65202,65880,66566,67273,67897,68597,69255,69875,70550,71204,71812,72403,73010,73616,74173,74787,75350,75906,76455,77019,77552,78062,78621,79124,79588,80072,80561,81048,
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77034,2281,21505,63264,119523,181744,244541,305059,361490,414011,462063,506700,547544,585035,619661,651072,680007,706987,731871,755181,776687,796982,815854,833539,850060,865444,879888,893469,906343,918571,930285,941336,951871,961650,971029,979947,988662,996931,1004698,1012156,1019300,1026071,1032724,1038935,1044932,1050688,1056099,1061195,1066205,1071159,1075841,1080371,1084764,1088995,1093001,1096943,1100674,1104280,1107820,1111137,1114364,1117545,1120735,1123728,1126576,1129327,1132013,1134550,1137165,1139650,1142065,1144469,1146733,1148968,1151027,1153095,1155042,1157012,1158953,1160819,1162653,1164367,1166126,1167774,1169422,1171040,1172522,1174020,1175485,1176951,1178373,1179766,1181125,1182450,1183780,1185019,1186318,1187496,1188708,1189837,1190892,1191968,1192969,1194042,1195021,1196024,1196963,1197843,1198754,1199657,1200570,1201408,1202219,1203073,1203886,1204656,1205428,1206166,1206873,1207647,
77040,588,8600,30924,66532,110454,158232,205883,252928,297849,340303,379535,416644,450865,482726,512674,540353,565938,590027,612526,633802,653580,672130,689725,706319,721626,736454,750273,763635,776142,787969,799197,809678,819941,829711,838910,847798,856266,864241,871920,879225,886335,893080,899471,905660,911593,917223,922740,928009,933067,938023,942647,947309,951633,955940,960218,964227,968061,971643,975209,978585,981896,985110,988288,991394,994334,997181,999898,1002604,1005157,1007632,1010226,1012657,1015010,1017231,1019444,1021677,1023775,1025829,1027813,1029707,1031619,1033407,1035189,1036927,1038611,1040318,1041988,1043524,1045117,1046640,1048147,1049534,1050856,1052233,1053540,1054746,1055972,1057183,1058443,1059597,1060739,1061871,1062999,1064097,1065089,1066171,1067201,1068166,1069163,1070096,1070992,1071879,1072722,1073514,1074401,1075242,1076019,1076897,1077689,
77050,106,2454,12018,30902,57062,88302,122536,157960,192856,227087,259965,291277,321234,349142,375959,401042,424693,446919,467955,487871,506505,524241,541004,556831,571936,586140,599797,612497,624726,636432,647757,658406,668406,678069,687375,696205,704481,712683,720544,727823,734933,741750,748308,754491,760496,766344,771924,777500,782715,787636,792588,797248,801754,806214,810505,814600,818676,822657,826365,830030,833535,836911,840258,843457,846507,849616,852598,855414,858106,860838,863473,866020,868465,870860,873234,875543,877729,879907,881975,884030,886004,887869,889777,891619,893381,895084,896839,898477,900079,901653,903247,904769,906221,907667,909042,910427,911710,912956,914199,915445,916706,917929,919068,920241,921323,922435,923490,924509,925538,926567,927573,928481,929351,930242,931137,932059,932889,933716,934528,
77060,38,1164,6569,18656,37500,61278,88247,116940,146511,175807,204636,232569,259499,285120,309333,332546,354681,375592,395300,414024,431852,448977,465201,480496,495049,508909,522209,534692,546584,557849,568626,579078,588995,598609,607656,616424,624824,632990,640582,647838,655029,661824,668384,674683,680846,686810,692548,697932,703255,708280,713209,717862,722465,726951,731422,735550,739598,743484,747253,750903,754385,757735,761050,764362,767512,770560,773538,776343,779170,781814,784555,787166,789638,792125,794487,796798,799019,801148,803238,805348,807289,809262,811106,812949,814740,816537,818270,819962,821643,823219,824687,826220,827621,829104,830543,831896,833230,834566,835892,837115,838330,839574,840718,841873,842987,844084,845192,846231,847329,848319,849380,850363,851288,852272,853199,854114,854997,855880,856700,
77070,8,478,3161,10225,22581,39478,59273,81623,104932,129189,153674,177383,200680,223064,244993,265700,285618,304833,323231,340713,357673,373530,388701,403259,416952,430227,442824,454854,466302,477459,487898,497927,507454,516578,525523,534083,542158,550046,557564,564800,571898,578737,585219,591509,597564,603303,608841,614307,619420,624399,629306,633971,638416,642852,647208,651373,655458,659262,663020,666687,670202,673708,677034,680343,683485,686521,689622,692438,695295,698142,700773,703376,705989,708469,710854,713250,715511,717677,719855,721912,723933,725930,727795,729613,731502,733308,735074,736796,738439,740107,741703,743275,744815,746321,747785,749207,750621,752013,753350,754629,755910,757057,758275,759445,760601,761812,762900,763961,765071,766111,767169,768097,769061,770049,770985,771849,772797,773669,774508,
77080,1,145,1311,4966,12100,22740,36614,52852,70599,89330,108590,128071,147238,166468,185002,203209,220933,237845,254185,269750,284787,299315,313153,326535,339379,351673,363297,374337,385101,395382,405426,415033,424320,433129,441458,449614,457552,465110,472367,479512,486418,493022,499306,505397,511174,516931,522453,527706,532836,537810,542584,547245,551825,556122,560204,564294,568280,572114,575787,579483,582852,586180,589566,592801,595966,599138,602078,604965,607746,610431,613059,615689,618193,620637,623103,625394,627667,629843,631934,633969,635973,638026,639951,641836,643709,645552,647352,649141,650875,652483,654088,655627,657173,658653,660151,661512,662852,664135,665476,666816,668071,669332,670560,671738,672895,674080,675192,676284,677367,678432,679467,680439,681415,682398,683332,684206,685109,685980,686844,
77090,0,26,457,2087,5650,11527,19937,30573,42837,56222,70802,85569,100563,115794,130830,145763,160483,174756,188603,202080,215222,227946,240283,252029,263541,274480,284929,295347,305110,314743,323993,332723,341227,349514,357464,365021,372323,379467,386332,392906,399261,405497,411677,417477,422978,428446,433782,438807,443757,448554,453121,457657,462096,466291,470452,474489,478408,482104,485652,489255,492794,496186,499427,502532,505540,508524,511449,514329,517064,519784,522399,524952,527411,529842,532207,534495,536728,538902,541109,543219,545221,547283,549227,551122,552946,554700,556520,558282,559941,561620,563224,564830,566364,567815,569281,570738,572128,573537,574825,576110,577370,578677,579881,581040,582224,583362,584515,585649,586742,587802,588847,589831,590789,591725,592645,593574,594507,595367,596244,
77100,0,12,199,1070,3206,7177,13023,20778,30088,40681,52019,64249,76608,89230,102221,115066,127739,140228,152549,164711,176527,187932,199137,209983,220365,230561,240499,249959,259017,268050,276637,285074,293220,301022,308425,315602,322736,329425,335929,342191,348250,354142,359907,365422,370919,376148,381114,385994,390681,395309,399706,404067,408351,412598,416610,420440,424211,427784,431344,434797,438131,441401,444646,447672,450750,453690,456588,459359,462116,464742,467267,469753,472155,474709,477064,479339,481574,483800,485989,488065,490043,491962,493929,495813,497656,499437,501097,502809,504406,506061,507635,509231,510761,512223,513635,515081,516406,517715,519035,520332,521608,522797,523984,525217,526392,527568,528704,529778,530817,531892,532873,533914,534890,535876,536788,537713,538628,539522,540356,
77110,0,3,78,436,1579,3936,7598,12952,19431,27136,35727,44936,54939,65158,75677,86299,97031,107558,118227,128480,138821,148780,158521,168142,177560,186798,195773,204219,212586,220694,228575,236325,243821,251096,258001,264602,271169,277539,283778,289767,295729,301403,306823,312063,317233,322193,326965,331590,336186,340640,345094,349305,353313,357238,361082,364757,368442,371909,375463,378779,382036,385261,388287,391244,394175,396956,399756,402370,405076,407686,410102,412536,414914,417235,419423,421716,423856,426010,428044,429981,431904,433913,435845,437702,439482,441267,443012,444657,446246,447836,449347,450864,452310,453791,455267,456702,458069,459385,460682,461953,463226,464459,465633,466775,467923,469070,470121,471190,472221,473211,474201,475206,476193,477173,478069,479023,479959,480830,481675,
77120,0,0,23,177,731,1969,4139,7303,11592,16806,23172,29951,37287,45209,53306,61743,70425,79089,87914,96565,105226,113872,122216,130656,138699,146763,154624,162343,169772,177140,184168,191192,197979,204571,210958,217160,223186,228995,234741,240151,245463,250852,256010,260995,265678,270134,274626,278947,283072,287096,291146,295042,298896,302612,306283,309856,313299,316610,319790,322893,326061,329078,332017,334903,337649,340315,342943,345553,348084,350551,353015,355294,357581,359805,362058,364142,366237,368309,370366,372356,374315,376161,378046,379879,381667,383344,385010,386628,388230,389758,391314,392810,394262,395633,396986,398330,399680,400954,402215,403450,404678,405845,407048,408169,409383,410509,411560,412634,413647,414599,415668,416643,417614,418556,419424,420337,421221,422122,422987,
77130,0,0,4,60,259,806,1938,3699,6228,9464,13356,17969,23100,28697,34819,40995,47531,54314,61254,68203,75227,82021,88996,95698,102401,109144,115744,122400,128698,134934,140884,146969,152736,158370,163925,169357,174912,179991,185022,189884,194688,199252,203927,208452,212757,216969,221065,225009,228902,232696,236437,240160,243698,247227,250600,253879,257042,260122,263182,266208,269075,271942,274687,277393,280013,282569,285047,287425,289735,292071,294391,296636,298786,300939,303069,305145,307079,309035,310961,312805,314588,316367,318100,319849,321456,323174,324736,326319,327783,329256,330747,332182,333615,334972,336260,337516,338784,340032,341270,342478,343667,344836,345943,347078,348152,349276,350355,351384,352393,353370,354320,355278,356223,357097,358010,358917,359802,360661,361541,
77140,0,0,0,10,74,262,694,1513,2721,4483,6692,9415,12577,16131,20151,24471,29031,33795,38735,43742,49062,54358,59537,64839,70291,75565,80888,86205,91368,96406,101385,106388,111324,116051,120843,125418,129907,134296,138625,142763,146879,150955,154970,158871,162701,166322,170036,173569,177007,180332,183692,186824,190153,193294,196390,199356,202221,204982,207799,210547,213218,215797,218358,220802,223207,225572,227856,230067,232268,234438,236454,238559,240529,242462,244384,246305,248088,249891,251683,253434,255199,256858,258558,260178,261761,263225,264713,266148,267584,269022,270358,271729,273057,274242,275469,276692,277835,279024,280247,281388,282504,283613,284710,285710,286715,287737,288741,289658,290644,291616,292564,293443,294418,295298,296135,297012,297831,298622,299428,
77150,0,0,0,5,22,78,252,584,1118,2004,3214,4796,6659,8826,11313,14075,17090,20377,23783,27347,31098,34919,38805,42809,46833,50851,54929,59008,62930,66976,71016,75040,79071,82947,86817,90595,94433,98224,101882,105418,109002,112456,115853,119194,122414,125647,128801,131877,134896,137894,140767,143545,146412,149158,151764,154367,156911,159396,161824,164282,166685,169010,171344,173643,175838,177997,180021,182092,184016,185955,187846,189678,191504,193315,195022,196690,198386,200019,201592,203163,204751,206286,207729,209178,210647,212022,213414,214793,216165,217478,218721,219934,221140,222381,223587,224683,225825,226986,228108,229142,230176,231185,232212,233220,234153,235089,236001,236965,237817,238724,239593,240422,241269,242082,242852,243664,244463,245215,245935,
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77520,0,0,0,0,0,0,1,16,31,70,178,339,583,915,1346,1876,2597,3376,4331,5419,6616,7855,9269,10745,12412,14063,15748,17552,19343,21276,23116,25025,27007,28993,30997,32968,34998,37030,39021,40949,42994,44945,46925,48819,50683,52506,54333,56114,57848,59605,61330,63051,64723,66342,67943,69514,71024,72508,73998,75489,76913,78250,79650,80929,82228,83470,84689,85855,87048,88185,89392,90537,91577,92679,93714,94773,95774,96753,97680,98607,99536,100437,101355,102255,103073,103910,104758,105569,106388,107166,107917,108659,109371,110131,110802,111475,112162,112805,113420,114038,114653,115255,115825,116429,116999,117548,118124,118662,119202,119694,120160,120635,121124,121578,122027,122461,122953,123384,123815,
77530,0,0,0,0,0,0,0,0,2,14,36,86,178,290,467,703,1010,1384,1829,2331,2922,3557,4283,5115,6026,6952,7970,9046,10145,11304,12540,13741,14978,16257,17539,18826,20156,21465,22869,24276,25675,27042,28341,29705,31056,32428,33698,34960,36295,37581,38937,40128,41423,42656,43904,45063,46193,47371,48504,49620,50710,51767,52806,53852,54891,55907,56924,57843,58843,59733,60694,61600,62519,63428,64294,65112,65974,66844,67706,68500,69253,69974,70699,71416,72166,72827,73491,74176,74833,75473,76083,76706,77304,77894,78484,79044,79648,80240,80750,81301,81803,82287,82768,83236,83681,84121,84559,85012,85481,85920,86356,86769,87193,87618,87999,88377,88792,89163,89507,
77540,0,0,0,0,0,0,0,0,0,1,4,12,21,50,94,159,221,348,484,656,888,1149,1415,1732,2121,2520,2994,3466,3975,4503,5056,5663,6331,6987,7692,8404,9100,9816,10534,11330,12051,12782,13564,14366,15139,15919,16665,17439,18253,19082,19919,20717,21486,22281,23082,23853,24655,25389,26125,26906,27666,28369,29050,29782,30527,31233,31914,32610,33257,33965,34599,35273,35920,36534,37109,37670,38229,38837,39405,39921,40489,40993,41534,42111,42676,43203,43690,44183,44675,45161,45619,46090,46550,46980,47426,47857,48255,48694,49090,49487,49930,50322,50698,51059,51404,51777,52118,52431,52783,53127,53473,53768,54098,54428,54757,55055,55351,55642,55959,
77550,3308,34034,103056,195052,293672,389554,478450,559205,631865,697024,755409,807483,853730,895186,932270,966134,997360,1025692,1051328,1074658,1096260,1116135,1134315,1151156,1166807,1181334,1194889,1207731,1219426,1230507,1240957,1250703,1259839,1268354,1276404,1284126,1291311,1298088,1304537,1310679,1316446,1321844,1327218,1332292,1337026,1341625,1345917,1350047,1354003,1357704,1361411,1364881,1368232,1371462,1374392,1377234,1380014,1382759,1385348,1387865,1390220,1392523,1394704,1396881,1398968,1400896,1402863,1404765,1406506,1408249,1409942,1411531,1413104,1414591,1416034,1417526,1418900,1420166,1421436,1422623,1423799,1424913,1425995,1427036,1428071,1429077,1430041,1430964,1431911,1432789,1433717,1434576,1435446,1436261,1437021,1437771,1438493,1439160,1439901,1440588,1441229,1441873,1442478,1443101,1443699,1444256,1444821,1445329,1445878,1446403,1446907,1447409,1447936,1448396,1448841,1449258,1449688,1450120,1450534,
77560,367,7531,32513,75940,131879,194267,258175,319320,377620,431925,482305,528877,571261,610201,646224,679127,709403,737651,763491,787228,809272,829987,849107,866631,883063,898325,912820,926363,939247,951244,962540,973416,983493,993052,1001960,1010318,1018368,1025909,1032925,1039804,1046220,1052276,1058281,1063948,1069262,1074413,1079395,1084092,1088551,1092885,1096958,1100929,1104642,1108208,1111689,1115083,1118328,1121564,1124486,1127377,1130239,1132909,1135381,1137823,1140151,1142530,1144750,1146895,1148964,1150951,1152910,1154784,1156503,1158310,1159945,1161663,1163158,1164653,1166174,1167544,1168901,1170297,1171649,1172895,1174122,1175306,1176456,1177616,1178724,1179809,1180861,1181862,1182871,1183806,1184763,1185657,1186537,1187359,1188179,1188964,1189791,1190506,1191216,1191944,1192676,1193353,1194010,1194678,1195292,1195889,1196492,1197082,1197687,1198203,1198699,1199231,1199751,1200276,1200774,
77570,90,2792,15077,40884,77996,122363,170005,218969,266905,313419,356783,397689,436140,472075,505210,535976,564932,591461,616243,639230,660721,680805,699627,717270,733677,749134,763544,777065,789834,801914,813292,823971,834113,843880,853105,861919,870038,877779,885211,892294,899190,905464,911556,917422,923039,928442,933489,938382,943166,947711,952028,956266,960214,964014,967687,971223,974578,977818,980917,983981,986910,989703,992413,994954,997488,999898,1002258,1004498,1006724,1008923,1010958,1012854,1014776,1016584,1018458,1020212,1021879,1023527,1025066,1026609,1028119,1029508,1030859,1032199,1033510,1034773,1036056,1037313,1038429,1039615,1040687,1041758,1042790,1043849,1044822,1045800,1046801,1047686,1048570,1049442,1050275,1051110,1051897,1052621,1053352,1054095,1054799,1055516,1056197,1056834,1057542,1058209,1058811,1059363,1059974,1060511,1061045,1061606,1062102,
77580,13,761,5707,18393,39630,68164,101327,136990,173468,210067,245561,279871,312657,343520,372879,400489,426489,450849,473791,495277,515463,534455,552153,568886,584545,599298,613280,626568,639003,650754,662064,672822,683073,692742,701877,710573,719009,726834,734271,741345,748061,754643,760769,766719,772313,777842,783111,788112,792875,797534,801995,806205,810327,814152,817986,821635,825148,828545,831719,834808,837806,840730,843440,846216,848871,851474,854005,856388,858725,860855,862990,865107,867150,869135,871016,872777,874544,876289,877969,879531,881038,882523,883999,885486,886913,888286,889570,890807,891969,893140,894286,895393,896511,897600,898638,899622,900596,901562,902501,903360,904262,905122,905976,906789,907622,908395,909186,909956,910638,911356,912025,912676,913309,913972,914593,915191,915760,916311,916852,
77590,0,153,1589,6529,16678,32041,51714,74809,99869,126322,152785,179110,204628,229289,253573,276504,298446,319311,339166,358281,376243,393233,409239,424613,439226,452952,466126,478384,490207,501302,511855,521859,531641,540910,549765,558178,566194,573945,581258,588358,595122,601500,607605,613416,619017,624289,629423,634419,639232,643890,648278,652561,656568,660580,664312,668024,671520,674931,678150,681277,684418,687424,690347,693060,695762,698408,700875,703394,705710,707958,710123,712211,714300,716314,718162,720011,721735,723441,725142,726739,728316,729877,731398,732847,734308,735720,737065,738386,739680,740909,742106,743280,744394,745530,746627,747678,748742,749731,750667,751634,752585,753479,754291,755181,755965,756752,757534,758287,759025,759749,760449,761093,761771,762429,763046,763632,764248,764847,765416,
77600,0,53,737,3498,9802,20169,34240,51535,70750,91657,113123,135067,157107,178598,199670,220208,239904,258748,276768,294160,310647,326502,341403,355684,369049,382093,394668,406570,417773,428607,438697,448323,457634,466352,474850,483141,490836,498163,505422,512285,518644,524858,530877,536675,542152,547429,552522,557506,562339,566813,571083,575333,579432,583326,587045,590602,594066,597473,600615,603799,606775,609715,612574,615295,617994,620469,623061,625464,627814,630012,632171,634320,636404,638429,640282,642138,643917,645674,647398,649042,650677,652162,653658,655105,656590,657988,659375,660672,661966,663231,664399,665600,666700,667838,668910,669932,670956,671964,672943,673950,674892,675848,676787,677652,678489,679280,680071,680883,681619,682357,683078,683751,684394,685041,685680,686291,686883,687525,688150,
77610,0,18,356,1749,5320,11795,21139,33214,47684,63615,80625,98087,115795,133891,151780,169230,186180,202832,219119,234228,249153,263539,277163,290177,302632,314534,325993,336864,347435,357572,367124,376274,385003,393341,401291,408770,416119,423151,430023,436697,442878,448833,454688,460145,465449,470527,475416,480357,484945,489455,493680,497731,501590,505491,509239,512751,516194,519555,522850,525937,528951,531754,534567,537284,540004,542430,545010,547355,549693,551900,554066,556218,558255,560257,562128,564023,565866,567616,569261,570849,572395,573903,575398,576820,578331,579759,581142,582460,583767,584992,586228,587440,588646,589740,590796,591820,592825,593805,594813,595752,596642,597559,598432,599303,600098,600898,601686,602486,603199,603904,604631,605345,606019,606676,607348,607954,608538,609152,609748,
77620,0,2,103,733,2540,6272,12097,20111,29914,41235,53661,67202,80930,95050,109325,123661,137790,151705,165331,178532,191403,203818,215732,227316,238665,249374,259797,269739,279364,288512,297167,305624,313917,321599,329121,336295,343073,349737,356122,362326,368373,374061,379714,385040,390215,395189,400054,404615,408968,413192,417343,421277,425123,428817,432305,435711,439068,442261,445284,448309,451226,454071,456759,459444,461914,464312,466610,468862,471167,473331,475435,477463,479505,481537,483370,485188,486908,488688,490371,491964,493495,495039,496469,498004,499369,500753,502165,503432,504747,506018,507250,508343,509443,510548,511614,512663,513674,514646,515619,516519,517395,518269,519150,520023,520829,521620,522462,523219,523995,524754,525431,526096,526730,527427,528093,528745,529317,529929,530487,
77630,0,0,26,245,1037,2879,6012,10772,16888,24355,33026,42610,52643,63127,74245,85254,96531,107739,118844,129738,140408,150841,160981,170747,180384,189603,198579,207380,215865,223987,231818,239267,246586,253560,260425,266822,273012,279168,284893,290526,295996,301362,306367,311279,315977,320553,324895,329056,333107,337227,341085,344855,348546,351990,355355,358598,361727,364666,367508,370384,373198,375917,378619,381026,383383,385689,388051,390196,392339,394486,396572,398555,400471,402362,404225,405936,407677,409363,410937,412485,414006,415576,417003,418471,419845,421148,422472,423741,425001,426230,427384,428528,429629,430720,431770,432776,433743,434717,435658,436573,437463,438359,439208,440070,440815,441585,442343,443067,443798,444571,445239,445924,446578,447222,447885,448479,449084,449721,450298,
77640,0,0,7,117,531,1635,3615,6872,11279,16806,23371,30784,38690,47128,56037,65306,74740,84129,93407,102879,112218,121566,130578,139388,148051,156441,164751,172575,180147,187467,194615,201673,208495,215047,221307,227338,233223,238944,244501,249856,255075,260007,264862,269547,273961,278199,282325,286445,290401,294175,297872,301345,304780,308057,311205,314265,317302,320304,323014,325749,328408,331041,333637,336060,338405,340667,342916,344969,347000,349009,350916,352826,354735,356492,358188,359873,361484,363126,364739,366246,367735,369185,370642,372036,373361,374625,375878,377076,378292,379421,380581,381698,382820,383839,384849,385819,386804,387709,388642,389567,390460,391284,392158,392988,393793,394533,395285,396050,396772,397452,398213,398872,399541,400223,400856,401529,402119,402703,403245,
77650,0,0,3,44,240,850,2102,4181,7062,10991,15698,21283,27319,33946,41140,48554,56156,64081,72176,80166,88100,96117,103838,111438,118941,126299,133559,140473,147311,153888,160292,166622,172635,178449,184092,189515,194911,200045,205004,209884,214613,219190,223531,227841,232099,236068,239987,243711,247434,251001,254520,257834,261031,264285,267321,270228,272957,275640,278279,280937,283442,285887,288292,290566,292789,294905,297058,299131,301124,303083,305088,306908,308688,310417,312084,313724,315333,316965,318468,319956,321360,322769,324154,325464,326795,328065,329244,330496,331660,332801,333861,334948,336004,337022,338009,338982,339962,340911,341803,342611,343419,344271,345048,345819,346591,347320,348056,348793,349551,350226,350914,351574,352212,352865,353432,354063,354644,355201,355771,
77660,0,0,0,15,100,400,1036,2232,4066,6544,9645,13612,18082,23010,28239,33889,39909,46171,52504,58899,65420,71878,78275,84756,91172,97449,103642,109757,115572,121261,126895,132358,137721,142872,148043,152964,157684,162370,167043,171409,175686,179875,183832,187712,191519,195262,198923,202361,205774,208992,212272,215373,218380,221349,224167,226874,229547,232076,234532,236955,239377,241660,243882,246117,248247,250301,252259,254216,256143,258020,259836,261597,263221,264927,266521,268002,269466,270974,272417,273881,275256,276516,277765,279077,280280,281551,282745,283866,284956,286066,287119,288150,289212,290206,291119,292037,292945,293787,294597,295446,296257,297117,297925,298720,299462,300191,300947,301678,302365,303064,303738,304360,305005,305596,306162,306766,307323,307890,308405,
77670,0,0,1,7,37,166,504,1082,2054,3605,5616,8063,10966,14331,18064,21994,26339,30969,35783,40568,45709,50856,55907,61181,66376,71432,76443,81583,86551,91421,96197,100924,105495,110031,114490,118741,122906,127006,130951,134800,138499,142311,145940,149365,152738,156015,159286,162507,165541,168440,171288,174056,176755,179432,182016,184470,186937,189335,191558,193783,196045,198219,200275,202249,204196,206081,208024,209805,211561,213186,214837,216442,218053,219543,221153,222585,223986,225406,226682,228013,229301,230558,231799,233001,234204,235378,236449,237489,238528,239550,240568,241530,242516,243444,244306,245237,246075,246968,247850,248658,249394,250133,250880,251627,252349,253014,253702,254359,255017,255678,256333,256985,257578,258161,258775,259320,259836,260361,260832,
77680,0,0,0,1,10,41,156,401,857,1630,2715,4214,6021,8162,10498,13197,16135,19357,22781,26440,30064,33764,37674,41626,45604,49586,53582,57520,61470,65404,69246,73005,76897,80643,84173,87718,91332,94822,98186,101574,104712,107828,110958,113931,116918,119856,122741,125486,128136,130688,133150,135598,138029,140308,142594,144832,146995,149131,151180,153117,155074,156948,158813,160604,162352,164080,165764,167436,169008,170569,172081,173552,174957,176414,177739,179121,180375,181594,182808,183979,185161,186309,187453,188550,189677,190752,191798,192840,193824,194768,195706,196558,197462,198344,199193,200057,200862,201702,202483,203253,203955,204639,205334,205994,206647,207310,207958,208581,209141,209759,210347,210899,211481,212007,212561,213052,213532,214032,214494,
77690,0,0,0,0,3,16,52,162,398,739,1315,2121,3135,4363,5924,7634,9547,11734,14123,16543,19191,22026,24736,27599,30523,33616,36718,39940,42919,46149,49138,52193,55266,58184,61177,64190,67031,69909,72705,75482,78167,80813,83440,85996,88452,90952,93366,95619,97815,100077,102274,104391,106542,108540,110560,112551,114465,116393,118215,120002,121700,123306,124980,126599,128237,129849,131330,132828,134291,135625,136928,138271,139524,140869,142114,143235,144368,145511,146631,147721,148818,149830,150877,151917,152944,153857,154734,155717,156606,157468,158313,159178,160009,160790,161531,162338,163092,163820,164543,165223,165923,166625,167218,167872,168504,169091,169676,170281,170864,171414,171965,172487,172964,173501,173997,174437,174906,175366,175823,
77700,0,0,0,0,0,4,23,60,128,258,500,846,1359,2006,2828,3820,4920,6258,7689,9215,10850,12693,14573,16514,18516,20625,22785,24933,27203,29378,31585,33838,36095,38418,40682,42912,45098,47287,49455,51665,53769,55912,58037,60012,62067,64117,66066,67970,69794,71580,73462,75237,76942,78625,80231,81860,83455,85060,86618,88090,89611,91059,92400,93754,95053,96337,97604,98872,100093,101311,102505,103647,104757,105893,107003,108073,109145,110189,111217,112197,113136,114072,114942,115808,116665,117510,118301,119129,119974,120772,121512,122254,122954,123713,124432,125181,125852,126472,127106,127699,128328,128885,129477,130029,130623,131158,131671,132216,132728,133231,133731,134191,134657,135109,135563,135984,136463,136923,137326,
77710,0,0,0,1,1,1,4,17,42,84,158,296,488,741,1089,1540,2125,2697,3413,4206,5132,6155,7254,8375,9580,10794,12117,13469,14871,16328,17876,19313,20832,22294,23817,25377,26944,28473,30047,31547,33098,34593,36004,37490,38953,40474,41870,43257,44686,46079,47425,48718,50008,51325,52696,53975,55212,56432,57625,58809,59946,61063,62161,63203,64259,65334,66382,67376,68373,69346,70353,71342,72288,73213,74088,74963,75785,76596,77404,78219,79017,79751,80503,81224,81923,82688,83352,84039,84693,85360,86011,86630,87232,87870,88455,89034,89614,90181,90704,91256,91816,92344,92849,93310,93828,94302,94787,95245,95701,96198,96634,97032,97433,97856,98251,98643,99012,99389,99762,
77720,0,0,0,0,0,0,0,0,2,9,22,45,79,134,220,327,498,706,941,1249,1575,1954,2421,2905,3456,4011,4629,5309,5991,6719,7424,8167,8992,9772,10623,11502,12394,13274,14129,15042,15992,16867,17807,18743,19700,20644,21574,22478,23377,24238,25190,26060,26873,27757,28622,29471,30313,31138,32022,32889,33703,34454,35224,36011,36742,37513,38214,38940,39666,40378,41014,41683,42360,43025,43645,44264,44914,45511,46060,46699,47282,47834,48396,48925,49460,49994,50534,51050,51610,52096,52588,53109,53597,54041,54517,54961,55420,55867,56283,56722,57104,57526,57942,58345,58709,59084,59457,59825,60157,60501,60850,61171,61475,61781,62112,62434,62715,63007,63316,
777322,9459,62354,152918,256835,360073,455034,540921,616175,683398,742967,795654,842378,884235,921439,955057,985581,1012910,1038131,1061153,1082211,1101277,1118930,1135326,1150573,1164821,1177794,1189912,1201468,1212197,1222095,1231420,1240091,1248497,1256345,1263683,1270640,1277161,1283531,1289416,1295008,1300427,1305563,1310431,1314958,1319313,1323594,1327601,1331434,1335073,1338522,1341750,1344906,1348023,1350991,1353884,1356580,1359223,1361717,1364100,1366378,1368566,1370706,1372653,1374694,1376617,1378446,1380226,1381961,1383638,1385279,1386855,1388387,1389837,1391320,1392629,1393926,1395250,1396460,1397665,1398785,1399897,1401004,1402046,1403098,1404104,1405075,1406014,1406917,1407790,1408679,1409480,1410298,1411122,1411879,1412618,1413282,1414000,1414722,1415398,1416042,1416669,1417293,1417850,1418428,1419003,1419543,1420081,1420609,1421144,1421649,1422082,1422580,1423005,1423469,1423922,1424354,1424759,1425184,1425566,
77740,1537,17928,58437,117424,184725,253016,319215,381205,438430,490678,538354,581689,621243,657357,690147,720490,748000,773734,796986,818441,838634,857326,874599,890726,905817,919756,932776,944912,956282,967111,977382,986836,995910,1004575,1012814,1020504,1027885,1034731,1041437,1047729,1053593,1059195,1064540,1069625,1074612,1079433,1083996,1088243,1092412,1096368,1100080,1103778,1107250,1110587,1113818,1116944,1119833,1122784,1125508,1128164,1130697,1133120,1135491,1137844,1140107,1142180,1144180,1146160,1148047,1149963,1151787,1153549,1155245,1156843,1158380,1159884,1161358,1162741,1164107,1165425,1166767,1168045,1169253,1170420,1171566,1172716,1173858,1174923,1175961,1176937,1177863,1178767,1179654,1180534,1181434,1182261,1183081,1183874,1184672,1185410,1186129,1186845,1187481,1188163,1188857,1189537,1190147,1190735,1191342,1191991,1192574,1193103,1193618,1194119,1194586,1195069,1195535,1195987,1196467,
77750,453,7697,30320,68750,117356,170071,223596,275530,324993,371709,414669,454531,491311,525126,556425,584942,611582,636294,659258,680627,700164,718340,735487,751552,766447,780662,793915,806578,817957,828931,839142,848903,858359,867167,875659,883440,891176,898285,905285,911813,917935,923802,929402,934768,939921,944908,949464,953942,958291,962454,966450,970179,973833,977325,980644,983936,987061,990061,992926,995636,998313,1000863,1003375,1005839,1008107,1010288,1012523,1014663,1016637,1018538,1020507,1022348,1024192,1025876,1027575,1029198,1030807,1032347,1033848,1035263,1036599,1037937,1039218,1040482,1041672,1042858,1044074,1045178,1046273,1047271,1048306,1049291,1050258,1051192,1052117,1053004,1053848,1054673,1055555,1056349,1057122,1057875,1058638,1059343,1060051,1060754,1061471,1062075,1062717,1063352,1063979,1064593,1065124,1065652,1066189,1066702,1067208,1067755,1068244,
77760,81,2546,13230,34956,65481,102050,141685,182172,221934,260140,296892,331519,364027,394709,423300,449982,474859,497812,519317,539654,558525,576336,593275,608823,623511,637471,650565,662796,674272,685315,695686,705558,714849,723598,732068,740083,747745,755003,761940,768588,774876,780838,786644,792090,797355,802424,807245,811843,816385,820582,824626,828560,832254,835868,839425,842808,845999,849081,852119,855039,857836,860511,863130,865722,868208,870454,872759,874893,876977,879019,881002,883044,884914,886674,888403,890134,891764,893325,894897,896396,897788,899254,900618,901964,903225,904500,905652,906830,907921,909103,910258,911272,912338,913331,914338,915266,916183,917113,917996,918818,919609,920403,921185,921922,922646,923399,924095,924745,925378,926044,926636,927297,927886,928444,929016,929549,930104,930633,931175,
77770,8,640,4686,14559,31349,53480,79416,107444,136559,165780,194589,222380,249037,274696,298977,322036,343793,364654,384154,402602,419910,436194,451718,466334,480179,493396,505721,517448,528659,539163,549233,558842,567915,576560,584814,592812,600299,607460,614283,620858,627170,633024,638775,644196,649546,654654,659453,664194,668654,672996,677117,681255,685167,688796,692463,695835,699189,702336,705489,708432,711273,713987,716526,719135,721585,723994,726319,728542,730752,732850,734849,736825,738723,740594,742372,744103,745788,747346,748995,750587,752080,753516,754982,756338,757658,758930,760180,761382,762519,763612,764683,765797,766885,767859,768868,769864,770768,771722,772639,773547,774404,775270,776133,776918,777659,778433,779136,779846,780535,781236,781887,782557,783214,783850,784473,785044,785660,786204,786818,
77780,6,296,2400,8609,19863,35701,55404,77897,101476,125960,150561,174397,197851,221028,242782,263680,283270,302136,320056,337183,353509,368916,383298,396915,409996,422472,434462,445642,456427,466682,476361,485493,494372,502803,510702,518456,525840,533159,539732,546029,552119,558135,563725,569091,574284,579231,584147,588715,593198,597406,601499,605449,609208,612944,616372,619801,623084,626262,629328,632280,635082,637828,640545,643032,645614,647986,650245,652520,654657,656817,658854,660835,662768,664622,666480,668227,669926,671599,673177,674729,676210,677682,679051,680465,681849,683107,684438,685667,686863,688024,689205,690274,691325,692378,693354,694396,695378,696302,697192,698081,698892,699721,700557,701400,702208,702932,703686,704405,705077,705738,706421,707066,707692,708277,708924,709531,710090,710648,711189,
77790,0,111,1123,4458,11364,22138,35913,52613,71014,90688,110445,130662,150470,169995,188881,207214,224969,241818,257835,273323,288153,302546,316130,328858,341129,352853,364080,374976,384980,394662,403813,412644,421045,429056,436726,444014,451101,457755,464205,470416,476368,482241,487849,493055,498075,502796,507421,511885,516127,520331,524490,528296,532041,535683,539190,542546,545695,548903,551790,554702,557601,560329,562990,565576,568064,570435,572844,575170,577362,579482,581575,583630,585504,587297,589133,590845,592567,594293,595922,597504,598931,600412,601782,603164,604520,605804,607086,608307,609476,610596,611735,612823,613912,614958,615963,616943,617942,618888,619790,620652,621552,622390,623248,624095,624891,625662,626402,627105,627809,628541,629246,629904,630558,631164,631790,632403,633023,633566,634107,
77800,0,35,440,2118,5985,12588,21869,33569,46759,61444,77007,92848,108981,125093,140813,156419,171607,186312,200344,213858,226891,239577,251900,263600,274865,285562,295822,305668,315068,324104,332641,340985,349005,356725,363924,370713,377278,383677,389778,395761,401429,406989,412181,417219,422092,426886,431236,435624,439793,443839,447670,451491,455209,458652,462037,465299,468418,471442,474332,477137,479886,482531,485180,487706,490144,492449,494719,496908,499070,501056,503043,504971,506908,508742,510508,512237,513868,515520,517080,518699,520254,521711,523094,524509,525833,527137,528379,529582,530760,531888,533074,534077,535198,536189,537206,538216,539101,540056,540944,541843,542704,543546,544377,545190,545971,546738,547482,548196,548898,549601,550275,550900,551590,552197,552810,553444,554051,554621,555192,
77810,0,10,121,801,2612,6136,11606,18961,27773,37898,49247,61034,73284,85648,98197,110836,123134,135055,147060,158722,169974,180773,191282,201517,211318,220923,229957,238725,247115,255271,263031,270535,278002,284991,291665,298064,304163,310119,315881,321334,326629,331771,336728,341476,346074,350524,354822,359003,362831,366594,370346,373900,377472,380787,384067,387142,390145,393034,395843,398488,401188,403757,406275,408834,411199,413408,415564,417712,419728,421783,423786,425703,427609,429474,431230,432900,434570,436208,437820,439321,440816,442303,443722,445088,446403,447686,448909,450112,451325,452492,453612,454659,455679,456692,457678,458603,459498,460407,461262,462108,462913,463729,464506,465249,466029,466788,467534,468222,468946,469636,470335,470979,471607,472201,472798,473383,473958,474509,475027,
77820,0,1,69,429,1543,3877,7641,12819,19394,27263,36190,45682,55727,66214,76717,87371,98003,108583,118787,129086,139048,148786,158081,167402,176334,184817,193077,200975,208834,216548,223815,230866,237708,244168,250225,256148,261967,267673,273192,278362,283442,288354,292927,297487,301806,306049,310078,314036,317803,321412,324992,328486,331859,335123,338339,341369,344259,347032,349800,352391,354871,357361,359789,362132,364422,366672,368820,370842,372891,374839,376679,378505,380351,382054,383848,385561,387111,388654,390195,391760,393206,394604,395943,397261,398648,399874,401048,402254,403426,404533,405628,406656,407671,408661,409634,410559,411466,412376,413263,414114,414907,415746,416570,417346,418109,418851,419570,420303,420994,421666,422334,422978,423617,424231,424815,425342,425896,426487,427016,
77830,0,1,23,194,769,2149,4496,7912,12562,18217,24881,32247,40281,48632,57119,65960,74773,83614,92428,101339,110033,118437,126764,135024,142888,150719,158240,165518,172489,179335,185983,192323,198344,204200,210017,215524,220913,226100,231058,236063,240655,245147,249542,253805,257898,261912,265818,269479,273064,276456,279865,283170,286313,289319,292175,294965,297768,300471,303181,305689,308129,310579,312892,315110,317245,319303,321327,323366,325247,327154,328926,330740,332397,334091,335736,337323,338854,340380,341848,343256,344705,346069,347343,348637,349848,351051,352250,353379,354444,355559,356625,357644,358725,359711,360686,361642,362513,363429,364285,365132,365938,366774,367544,368269,368991,369727,370404,371074,371748,372419,373097,373775,374408,375031,375643,376239,376827,377355,377881,
77840,0,0,7,79,328,1061,2384,4551,7472,11378,16031,21336,27221,33516,40122,47075,54248,61663,68913,76152,83403,90652,97532,104508,111395,118083,124630,131075,137318,143343,149213,154874,160308,165674,170908,175959,180751,185488,190175,194469,198646,202799,206914,210872,214671,218174,221848,225224,228535,231839,234985,238101,241131,244004,246772,249440,251990,254475,256927,259362,261700,264019,266186,268303,270416,272449,274452,276359,278220,280052,281865,283602,285276,286893,288518,290079,291526,293020,294459,295788,297118,298421,299659,300877,302088,303269,304460,305593,306660,307733,308750,309728,310682,311574,312480,313426,314303,315166,316009,316830,317635,318467,319194,319964,320675,321386,322113,322768,323423,324036,324711,325300,325911,326474,327051,327597,328158,328681,329184,
77850,0,0,2,24,141,475,1203,2419,4186,6650,9761,13230,17360,21846,26652,31726,37158,42754,48454,54315,60225,66113,72033,77716,83356,88967,94443,99760,105063,110279,115354,120347,125416,130017,134687,139045,143344,147546,151671,155608,159395,163182,166814,170291,173780,177253,180504,183710,186768,189703,192569,195286,198015,200656,203176,205646,208046,210385,212724,214924,217099,219145,221159,223157,225107,226945,228755,230507,232305,234020,235597,237182,238720,240245,241660,243146,244557,245833,247182,248460,249722,250968,252139,253290,254405,255513,256629,257705,258806,259783,260733,261666,262568,263472,264356,265178,266040,266884,267636,268420,269211,269923,270612,271312,271974,272652,273337,273995,274602,275247,275832,276455,277023,277556,278130,278668,279204,279704,280229,
77860,0,0,0,5,29,145,443,1033,1932,3223,4946,7126,9719,12650,16040,19574,23433,27465,31587,35948,40227,44717,49158,53643,58145,62482,66948,71275,75583,79869,84060,88204,92024,96035,99980,103703,107486,111065,114549,118030,121275,124507,127588,130719,133826,136732,139596,142385,145079,147744,150206,152736,155226,157573,159842,162056,164215,166256,168298,170395,172373,174259,176028,177892,179639,181372,183103,184725,186269,187781,189284,190722,192160,193531,194884,196248,197557,198801,200013,201168,202298,203438,204543,205654,206685,207647,208652,209675,210597,211534,212453,213418,214304,215125,215968,216792,217541,218330,219081,219836,220575,221223,221911,222620,223269,223903,224497,225095,225684,226241,226835,227395,227974,228528,229036,229518,230011,230481,230967,
77870,0,0,0,1,12,62,191,422,912,1592,2598,3896,5493,7334,9490,11888,14411,17062,20071,23249,26551,29822,33225,36599,39988,43453,46926,50383,53791,57160,60566,63906,67207,70425,73649,76670,79800,82890,85875,88778,91634,94450,97140,99780,102349,104909,107371,109758,112083,114442,116709,118967,121046,123148,125146,127134,129109,130877,132793,134592,136393,138086,139813,141388,142970,144583,146080,147540,148991,150367,151816,153099,154422,155672,156927,158113,159244,160331,161421,162470,163596,164602,165622,166643,167599,168519,169450,170337,171227,172040,172909,173725,174533,175392,176181,176899,177620,178344,179065,179793,180438,181110,181744,182364,183001,183564,184125,184723,185277,185830,186366,186851,187379,187906,188450,188922,189395,189913,190374,
77880,0,0,0,0,4,12,46,123,281,614,1046,1697,2533,3565,4771,6222,7717,9524,11387,13433,15708,17877,20112,22511,24944,27358,29796,32348,34836,37417,39925,42489,45043,47551,50007,52461,54989,57329,59732,62048,64365,66561,68707,70883,73066,75056,77113,79122,81081,83005,84858,86726,88585,90341,92040,93716,95440,96936,98459,99991,101447,102894,104351,105764,107179,108542,109842,111120,112362,113560,114755,115880,116992,118130,119244,120362,121435,122472,123479,124471,125426,126350,127259,128125,129018,129837,130669,131481,132291,133130,133868,134593,135313,136050,136721,137423,138146,138770,139375,140019,140641,141234,141737,142272,142833,143374,143914,144458,144979,145465,145995,146479,146908,147369,147834,148248,148721,149112,149519,
77890,0,0,0,0,0,2,8,38,78,158,315,573,877,1309,1850,2497,3269,4145,5156,6222,7415,8677,10052,11464,12954,14544,16127,17754,19410,21073,22784,24410,26211,27954,29680,31380,33157,34841,36543,38266,39979,41675,43314,44972,46541,48229,49852,51371,52906,54379,55838,57258,58709,60043,61392,62702,63999,65277,66506,67743,68967,70131,71265,72376,73428,74557,75642,76680,77711,78691,79674,80694,81630,82488,83357,84215,85075,85901,86730,87512,88336,89119,89822,90595,91281,92013,92742,93428,94093,94749,95416,96031,96613,97226,97807,98384,98986,99535,100111,100659,101130,101627,102117,102601,103094,103520,103981,104448,104917,105369,105795,106228,106628,107021,107409,107794,108176,108504,108872,
77900,0,0,0,0,0,0,0,2,8,21,58,103,179,289,439,653,916,1230,1608,2028,2535,3086,3689,4328,5001,5817,6572,7393,8171,9013,9920,10867,11773,12709,13664,14703,15696,16722,17747,18795,19798,20823,21886,22926,23912,24879,25924,27009,27978,28931,29907,30879,31812,32755,33666,34580,35422,36310,37227,38102,38978,39819,40703,41505,42298,43118,43882,44614,45326,46065,46800,47449,48111,48826,49466,50152,50764,51391,52034,52670,53250,53834,54440,55023,55604,56153,56692,57247,57739,58238,58757,59262,59758,60202,60661,61084,61533,61960,62389,62780,63192,63558,63951,64352,64750,65119,65495,65857,66240,66597,66925,67234,67545,67859,68188,68487,68772,69071,69341,
7791141,18877,91963,197993,308751,412675,505418,587463,658921,721699,776836,825361,867984,906390,940857,971589,999183,1024376,1047034,1068077,1087044,1104694,1121013,1135904,1149909,1162972,1174996,1186354,1196659,1206386,1215669,1224343,1232538,1240087,1247414,1254325,1260857,1267018,1272976,1278516,1283688,1288656,1293500,1298033,1302387,1306436,1310382,1314180,1317908,1321336,1324659,1327724,1330629,1333408,1336265,1338937,1341529,1344049,1346365,1348589,1350746,1352778,1354844,1356783,1358668,1360444,1362268,1363987,1365635,1367200,1368729,1370152,1371613,1373021,1374317,1375600,1376871,1378127,1379293,1380419,1381511,1382529,1383514,1384545,1385473,1386404,1387331,1388227,1389109,1389942,1390769,1391591,1392369,1393116,1393825,1394525,1395227,1395896,1396587,1397225,1397871,1398455,1399046,1399595,1400139,1400684,1401189,1401705,1402233,1402719,1403206,1403646,1404097,1404485,1404918,1405329,1405725,1406127,1406514,1406935,
77925,3967,31334,86446,156154,229666,301163,368093,429350,484695,534515,579739,620718,657745,691723,722209,750282,776097,799486,821298,841030,859467,876613,892645,907622,921429,934541,946387,957517,968188,978200,987593,996474,1005047,1012918,1020560,1027702,1034646,1041127,1047246,1053186,1058685,1063880,1068916,1073750,1078510,1082894,1087026,1091125,1095065,1098792,1102243,1105546,1108800,1111915,1114968,1117914,1120723,1123329,1125856,1128284,1130694,1133049,1135401,1137527,1139605,1141623,1143626,1145482,1147264,1149015,1150719,1152414,1153988,1155491,1156981,1158454,1159837,1161158,1162421,1163716,1164991,1166117,1167281,1168366,1169437,1170493,1171633,1172567,1173528,1174468,1175364,1176228,1177068,1177918,1178741,1179557,1180305,1181098,1181820,1182522,1183244,1183924,1184591,1185187,1185789,1186383,1186977,1187552,1188146,1188712,1189264,1189812,1190305,1190811,1191292,1191747,1192186,1192621,1193066,
77932,1391,15091,49200,98154,154228,211905,268220,321225,370411,415959,457448,495977,531206,563282,592581,619949,645052,667983,689398,709349,727833,744976,761128,776198,790167,803369,815829,827304,838132,848709,858580,867627,876163,884252,892045,899409,906412,913100,919521,925543,931207,936760,942096,947142,951979,956447,960809,965031,968981,972979,976674,980299,983739,986997,990179,993158,996068,998790,1001563,1004165,1006680,1009103,1011496,1013733,1015947,1018092,1020218,1022211,1024032,1025804,1027573,1029328,1031032,1032702,1034311,1035922,1037387,1038825,1040204,1041563,1042846,1044155,1045436,1046667,1047862,1048929,1050059,1051076,1052101,1053123,1054090,1055039,1055922,1056796,1057678,1058542,1059318,1060072,1060824,1061633,1062400,1063110,1063804,1064522,1065155,1065797,1066399,1067037,1067627,1068186,1068764,1069328,1069884,1070372,1070864,1071377,1071888,1072372,1072842,
77940,357,5965,23812,53984,92404,135303,179270,222427,263886,303279,339903,374382,406098,435933,463744,489176,513164,535220,555740,575109,593154,610075,625904,640779,654741,667844,680082,691443,702443,712790,722706,731987,740785,749071,756933,764618,771721,778547,785117,791349,797290,802866,808274,813285,818216,822924,827465,831964,836103,840153,843948,847616,851106,854558,857791,860863,863971,866969,869718,872360,874862,877459,879977,882383,884583,886811,888902,890919,892889,894807,896711,898503,900253,901902,903582,905142,906657,908161,909651,911121,912466,913767,915046,916318,917549,918793,919899,920984,922125,923184,924195,925236,926257,927234,928147,929037,929887,930755,931520,932365,933199,933965,934675,935395,936131,936833,937458,938067,938690,939326,939962,940566,941115,941666,942204,942703,943211,943740,944213,
77950,61,1779,9198,24712,47488,75287,106369,138223,170226,201532,231665,260262,287573,313370,337703,360643,382198,402197,421223,439114,455949,471700,486541,500402,513552,526245,537982,549200,559849,570002,579529,588438,597144,605411,613206,620710,627813,634454,640856,647207,653225,658860,664211,669337,674318,679065,683651,688172,692416,696619,700613,704298,707822,711330,714650,717894,721021,724023,726826,729556,732278,734836,737349,739701,742057,744321,746532,748639,750745,752648,754617,756453,758240,759976,761709,763420,765000,766587,768053,769478,770875,772230,773578,774866,776147,777348,778596,779755,780901,781992,783109,784143,785153,786113,787109,788021,788915,789798,790665,791500,792319,793142,793937,794719,795418,796161,796854,797497,798183,798832,799459,800062,800675,801269,801841,802405,802991,803508,804023,
77960,25,817,5250,15384,31869,52917,77118,103065,130080,156883,183149,208412,233123,256251,278579,299748,319328,338340,356039,372888,388488,403418,417506,430962,443582,455530,466908,477747,487769,497472,506671,515517,524103,532117,539782,547126,554206,561040,567568,573740,579625,585203,590663,595604,600518,605204,609720,614109,618298,622351,626178,629990,633521,637034,640325,643569,646776,649784,652700,655452,658117,660778,663272,665727,668042,670366,672598,674739,676850,678870,680768,682691,684572,686373,688070,689714,691271,692817,694303,695728,697162,698558,699886,701200,702512,703700,704930,706095,707210,708327,709443,710510,711460,712400,713352,714324,715205,716135,717010,717873,718687,719516,720327,721104,721858,722599,723302,723960,724652,725335,725922,726538,727131,727737,728303,728848,729381,729920,730480,
77970,5,344,2536,8661,19243,34233,52312,72923,94372,116341,138647,160072,181149,201644,221313,239790,257804,274887,291225,306631,321372,335445,348639,361313,373391,384712,395624,405931,415772,425097,434180,442646,450785,458463,465944,473033,479787,486055,492377,498321,504052,509580,514812,519957,524585,529231,533810,538051,542185,546106,549930,553582,557222,560726,564038,567211,570253,573278,576198,578984,581646,584224,586814,589193,591576,593870,596203,598389,600487,602488,604489,606374,608218,609959,611678,613335,614937,616475,618040,619472,620855,622290,623638,625024,626275,627486,628712,629849,630972,632045,633105,634134,635138,636120,637029,638001,638923,639825,640710,641533,642378,643214,643993,644834,645568,646321,647042,647747,648422,649126,649767,650382,650988,651582,652118,652693,653275,653807,654347,
77980,1,140,1135,4285,10798,20555,33103,48055,64345,81825,99577,117411,135169,152251,169121,185554,201512,216579,231154,245146,258371,271142,283229,294817,305959,316444,326548,336189,345402,354119,362542,370573,378245,385621,392570,399411,405998,412120,418154,423741,429263,434476,439601,444589,449402,453872,458134,462291,466271,470166,473961,477471,480984,484345,487590,490669,493696,496642,499419,502148,504838,507413,509856,512214,514538,516752,518915,521006,523055,525139,527046,528855,530631,532357,534071,535752,537321,538925,540486,542009,543390,544781,546139,547446,548709,549933,551182,552365,553490,554623,555730,556804,557804,558836,559835,560819,561730,562581,563491,564322,565167,565979,566748,567528,568271,568981,569704,570340,571007,571671,572303,572929,573568,574160,574724,575330,575923,576509,577072,
77990,0,40,373,1842,5227,10821,18750,28719,40142,52610,65810,79625,93532,107392,121084,134326,147453,160350,172749,184735,196484,207546,218204,228544,238537,248211,257333,266078,274625,282527,290172,297711,304951,311778,318408,324751,330888,336559,342171,347618,352819,357773,362545,367191,371698,376010,380149,384246,388024,391668,395235,398746,402028,405188,408230,411255,414155,416991,419689,422353,424857,427419,429802,432112,434398,436550,438684,440742,442778,444743,446605,448442,450177,451935,453644,455279,456894,458381,459866,461302,462749,464126,465452,466768,468034,469295,470476,471627,472733,473833,474832,475909,476914,477885,478830,479769,480742,481639,482511,483380,484204,484980,485769,486552,487329,488056,488754,489468,490133,490823,491444,492086,492703,493318,493941,494503,495074,495638,496188,
78000,0,20,189,1012,3110,6993,12710,20006,28845,38615,49285,60396,71980,83718,95450,107290,118922,130357,141384,152090,162713,172675,182447,191993,201047,209750,218350,226464,234224,241729,249010,256073,262922,269297,275487,281431,287095,292587,297879,302933,307830,312626,317280,321719,326024,330099,334067,337900,341688,345343,348796,352128,355483,358587,361569,364478,367421,370034,372703,375355,377894,380292,382639,385010,387193,389337,391419,393443,395380,397335,399155,400844,402627,404249,405923,407497,409060,410529,412024,413481,414893,416221,417465,418732,419969,421181,422368,423504,424622,425732,426814,427848,428858,429893,430823,431716,432603,433480,434320,435155,435926,436658,437423,438182,438918,439628,440341,441046,441699,442387,443021,443644,444271,444878,445422,446022,446556,447076,447599,
78010,0,7,90,513,1674,4008,7767,12893,19205,26533,34855,43917,53309,62758,72634,82637,92507,102201,111715,121337,130404,139315,147997,156482,164736,172759,180468,187831,194938,201829,208565,215037,221417,227403,233184,238718,244023,249297,254268,259053,263704,268142,272680,276885,280962,285007,288684,292307,295848,299314,302607,305806,308838,311783,314732,317462,320224,322915,325477,328005,330417,332801,335043,337229,339422,341483,343409,345410,347323,349132,350891,352683,354311,355910,357469,358978,360426,361877,363321,364744,366118,367421,368720,369992,371220,372452,373621,374779,375837,376913,377987,379030,379969,380958,381846,382741,383685,384579,385418,386182,386944,387705,388443,389162,389871,390620,391307,391941,392620,393272,393882,394473,395048,395620,396207,396734,397320,397870,398404,
78020,0,0,30,189,806,2171,4428,7753,12119,17461,23526,30288,37541,45029,52821,60879,69095,77187,85064,92917,100757,108396,115921,123232,130417,137339,143995,150668,156984,163077,169061,174839,180447,185905,191174,196194,201048,205777,210400,214913,219255,223406,227490,231366,235226,238826,242469,245899,249218,252443,255480,258524,261406,264269,266967,269605,272134,274757,277143,279525,281818,284034,286195,288290,290277,292292,294205,296124,297964,299688,301425,303035,304590,306201,307721,309139,310608,312025,313480,314848,316115,317398,318640,319841,320986,322129,323239,324354,325381,326389,327404,328326,329247,330155,331062,331953,332755,333612,334453,335285,336106,336896,337634,338348,339053,339765,340426,341078,341722,342354,342949,343571,344165,344752,345306,345902,346424,346909,347434,
78030,0,0,10,74,315,1011,2239,4145,6835,10370,14512,19314,24493,30031,35984,42052,48409,54830,61227,67724,74155,80369,86678,92896,99073,105071,110818,116478,121999,127337,132619,137761,142739,147541,152185,156697,161160,165345,169461,173462,177414,181017,184622,188195,191576,194960,198204,201405,204624,207625,210469,213311,216079,218695,221170,223573,226002,228305,230568,232764,234954,237090,239139,241082,243038,244876,246717,248472,250134,251781,253470,255027,256589,258133,259533,261001,262388,263731,265151,266441,267650,268836,270083,271195,272287,273361,274405,275464,276456,277418,278387,279296,280254,281142,282073,282925,283765,284521,285343,286146,286899,287632,288385,289078,289710,290372,290986,291646,292276,292859,293431,293978,294553,295124,295645,296152,296669,297175,297678,
78040,0,0,2,23,95,354,946,1932,3447,5391,7899,10874,14297,17995,22021,26323,30910,35596,40362,45356,50275,55241,60211,64987,69821,74671,79383,84075,88797,93302,97743,102057,106315,110450,114524,118387,122145,125900,129482,133003,136367,139647,142863,146114,149129,152156,155010,157842,160494,163092,165670,168148,170629,172906,175227,177515,179625,181796,183874,185919,187833,189717,191576,193381,195229,196856,198468,200140,201705,203281,204769,206263,207646,209052,210385,211668,212878,214125,215295,216483,217727,218830,219963,221013,222064,223064,224110,225067,225995,226936,227863,228761,229545,230397,231220,231982,232771,233581,234300,235032,235725,236404,237099,237700,238336,238954,239533,240142,240740,241335,241923,242453,243002,243530,244056,244566,245051,245542,245988,
78050,0,0,0,5,37,134,387,882,1673,2728,4218,6016,8237,10656,13442,16434,19736,23048,26642,30238,33891,37629,41456,45350,49300,53091,56896,60684,64367,68044,71712,75351,78802,82329,85747,89034,92183,95506,98567,101628,104492,107246,110111,112817,115575,118171,120692,123196,125669,128124,130399,132634,134750,136860,138867,140854,142851,144780,146597,148438,150117,151818,153519,155144,156771,158308,159793,161274,162681,164017,165353,166718,168006,169286,170576,171744,172925,174066,175175,176227,177278,178313,179355,180296,181229,182164,183094,184005,184914,185784,186616,187482,188307,189041,189803,190555,191286,192007,192695,193371,194028,194714,195338,195928,196525,197110,197692,198251,198829,199443,199907,200420,200912,201425,201905,202392,202886,203317,203767,
78060,0,0,0,2,4,43,127,302,647,1165,1923,2837,3945,5383,7067,8926,10910,13089,15342,17738,20314,22916,25634,28373,31270,34012,36843,39689,42546,45334,48130,50930,53671,56427,59125,61789,64255,66797,69328,71852,74213,76573,78908,81192,83436,85693,87822,89863,91877,93871,95878,97792,99618,101419,103159,104867,106556,108267,109887,111455,113022,114490,115960,117394,118795,120171,121492,122771,123983,125229,126488,127653,128794,129930,131013,132081,133115,134133,135147,136123,137101,138032,138940,139839,140746,141597,142386,143201,144009,144824,145583,146308,147042,147746,148422,149100,149708,150359,150984,151594,152171,152802,153385,153937,154542,155099,155600,156098,156619,157107,157552,157986,158406,158888,159368,159793,160228,160650,161049,
78070,0,0,0,0,1,3,23,71,165,292,561,927,1439,2069,2847,3741,4755,5899,7193,8529,10004,11583,13270,14979,16821,18666,20536,22431,24354,26231,28165,30132,32028,33978,35857,37811,39696,41577,43414,45281,47014,48776,50519,52256,53952,55690,57359,59001,60548,62104,63634,65219,66644,68095,69519,70868,72212,73483,74757,76014,77286,78482,79755,80887,82018,83205,84245,85227,86309,87341,88372,89360,90373,91275,92215,93108,93938,94846,95728,96531,97362,98188,99028,99846,100602,101351,102028,102744,103382,104052,104677,105306,105946,106572,107175,107774,108335,108876,109419,109941,110498,110984,111523,111995,112502,113006,113468,113906,114373,114830,115242,115657,116062,116470,116851,117221,117594,117962,118329,
78080,0,0,0,0,0,1,3,7,18,45,92,169,291,441,688,992,1334,1765,2275,2863,3515,4232,5034,5834,6695,7524,8455,9397,10438,11478,12562,13656,14843,15974,17112,18244,19436,20610,21730,22813,23897,25059,26196,27281,28402,29503,30616,31686,32711,33774,34787,35806,36798,37834,38783,39761,40740,41723,42660,43553,44445,45236,46076,46912,47747,48591,49387,50147,50944,51668,52410,53111,53841,54562,55271,55945,56584,57239,57863,58499,59085,59692,60317,60853,61430,62012,62544,63107,63657,64147,64685,65186,65669,66129,66607,67079,67569,68032,68489,68941,69352,69787,70174,70586,70966,71331,71722,72105,72435,72795,73146,73469,73781,74111,74397,74728,75026,75351,75624,
7809415,30414,121673,237696,351650,454735,544812,622858,690506,749603,801420,846617,886833,922325,953975,982520,1008470,1031679,1052824,1072383,1090119,1106585,1121965,1136063,1149282,1161641,1172995,1183422,1193355,1202719,1211418,1219446,1227182,1234353,1241126,1247465,1253512,1259279,1264863,1270030,1275063,1279837,1284317,1288659,1292674,1296563,1300288,1303897,1307310,1310535,1313628,1316637,1319427,1322215,1324869,1327339,1329728,1332119,1334365,1336432,1338462,1340433,1342398,1344317,1346205,1347935,1349621,1351108,1352704,1354232,1355682,1357129,1358494,1359803,1361089,1362309,1363558,1364718,1365817,1366867,1367956,1369015,1370082,1371066,1372034,1373001,1373833,1374702,1375546,1376332,1377112,1377901,1378638,1379355,1380092,1380775,1381470,1382112,1382725,1383323,1383920,1384463,1385043,1385569,1386128,1386676,1387184,1387687,1388193,1388654,1389147,1389596,1390048,1390496,1390906,1391313,1391697,1392070,1392427,1392792,
781039,7700,46983,113521,190930,268098,341083,407605,467371,521235,569253,612661,651243,686625,718552,747620,773933,798149,820303,840321,859246,876637,892714,907497,921397,934547,946876,958331,969107,979164,988463,997381,1005746,1013837,1021276,1028501,1035296,1041521,1047595,1053379,1058860,1064052,1069116,1074028,1078509,1082890,1086977,1090869,1094767,1098475,1101905,1105264,1108487,1111470,1114474,1117366,1120147,1122852,1125419,1127824,1130168,1132547,1134673,1136709,1138706,1140597,1142487,1144279,1146012,1147790,1149417,1151053,1152633,1154122,1155589,1157050,1158421,1159779,1161055,1162265,1163457,1164627,1165791,1166858,1167934,1168959,1169973,1170976,1171912,1172883,1173788,1174702,1175477,1176283,1177095,1177858,1178628,1179302,1180020,1180723,1181375,1182036,1182688,1183352,1183957,1184574,1185142,1185696,1186228,1186767,1187257,1187770,1188271,1188760,1189261,1189713,1190174,1190609,1191048,1191436,
78116,3074,24795,68917,126411,188106,248858,306789,360173,409216,453951,494422,531406,565326,596133,624429,650088,673791,695723,716094,734894,752146,768391,783558,797632,810730,823124,834553,845422,855673,865567,874759,883306,891527,899185,906478,913412,920096,926239,932170,937993,943512,948701,953689,958443,962932,967156,971384,975342,979105,982830,986293,989665,992970,996113,999121,1001964,1004767,1007497,1010040,1012513,1014874,1017198,1019543,1021698,1023691,1025767,1027690,1029539,1031351,1033131,1034831,1036534,1038105,1039675,1041148,1042610,1044024,1045378,1046689,1047924,1049180,1050442,1051560,1052674,1053779,1054809,1055825,1056821,1057846,1058782,1059711,1060646,1061502,1062338,1063174,1063941,1064699,1065525,1066283,1066988,1067729,1068367,1069079,1069733,1070359,1070909,1071485,1072132,1072716,1073274,1073834,1074355,1074878,1075328,1075826,1076264,1076706,1077188,1077605,
78120,902,10674,35868,73961,118632,165858,212591,257424,299592,339449,376159,409728,441145,469860,496332,521086,543975,565253,585068,603323,620181,635951,650924,664873,677936,690369,702057,713041,723355,733116,742329,751101,759353,767251,774622,781825,788554,794949,801163,806902,812583,817965,823012,828005,832740,837172,841496,845579,849624,853390,857161,860568,863925,867112,870212,873230,876186,878994,881730,884339,886780,889175,891509,893761,895918,897970,900067,902107,904081,905908,907639,909440,911101,912728,914327,915805,917333,918741,920194,921489,922776,923977,925223,926472,927667,928808,929837,930889,931928,932882,933880,934834,935787,936666,937517,938402,939256,940068,940826,941590,942350,943067,943759,944412,945075,945682,946334,946963,947548,948139,948667,949249,949815,950348,950894,951440,951931,952371,952873,
78130,205,3554,15370,36549,64955,97509,131949,166585,200497,233008,264156,293302,320765,346644,370547,393081,414132,433615,452212,469566,485806,500940,515352,528824,541397,553278,564685,575426,585373,594926,603924,612654,620779,628667,636132,643179,650096,656499,662634,668667,674299,679561,684654,689439,694249,698792,703239,707336,711324,715165,718886,722432,725937,729234,732416,735553,738451,741347,744089,746738,749380,751916,754334,756618,758868,760997,763058,765122,767118,768982,770779,772591,774349,776054,777677,779193,780702,782195,783620,785013,786352,787697,789021,790310,791520,792703,793875,794912,795964,797008,798007,799003,799992,800939,801834,802726,803559,804407,805224,806021,806741,807551,808299,809037,809727,810410,811029,811651,812308,812902,813524,814126,814727,815304,815832,816390,816909,817423,817920,
78140,73,1855,9095,23712,44494,70398,98335,127133,156178,184531,212124,238204,263204,286647,308825,329774,349831,368615,386206,402830,418430,432807,446680,459650,471863,483579,494456,504912,514617,524137,533168,541730,549900,557398,564702,571807,578482,584895,591112,596828,602392,607779,612981,617927,622546,626899,631320,635505,639498,643450,647161,650683,654048,657398,660539,663666,666609,669461,672216,674931,677478,680021,682419,684762,686952,689144,691280,693323,695341,697228,699080,700938,702661,704411,706196,707742,709279,710789,712200,713611,714946,716262,717556,718850,720021,721207,722318,723441,724481,725570,726609,727560,728507,729483,730385,731293,732183,733018,733834,734636,735436,736201,736929,737656,738374,739089,739751,740407,741052,741696,742312,742914,743478,744067,744633,745155,745667,746174,746689,
78150,21,802,4878,14192,28893,47690,69410,92396,116522,140716,164349,187241,209097,230052,250138,269166,287093,304391,320589,335868,350347,364237,377450,389945,401637,412775,423408,433490,443013,451964,460646,468888,476887,484393,491419,498360,504891,511193,517156,522926,528511,533801,538764,543607,548243,552651,556987,561087,565119,568941,572622,576257,579762,583061,586236,589295,592224,595115,597868,600541,603194,605700,608116,610406,612727,614918,617076,619101,621142,623040,624953,626723,628404,630047,631706,633306,634942,636458,637955,639301,640601,641933,643251,644490,645710,646906,647994,649086,650176,651245,652266,653281,654279,655230,656181,657081,657978,658843,659628,660395,661173,661969,662712,663445,664193,664886,665602,666261,666905,667506,668188,668843,669401,669997,670533,671075,671645,672193,672714,
78160,9,293,2250,7551,17054,29925,45368,63062,81753,101298,120723,139824,158721,176837,194230,211104,227163,242691,257404,271435,284808,297511,309496,320974,331943,342346,352437,362022,371075,379566,387806,395441,402942,410068,416866,423485,429713,435707,441620,447050,452481,457531,462447,467152,471813,476114,480281,484327,488245,491991,495509,499001,502446,505700,508925,511843,514707,517550,520212,522933,525567,528017,530443,532787,535058,537197,539272,541344,543325,545199,547092,548894,550628,552374,553915,555535,557069,558603,560105,561466,562891,564247,565518,566783,568070,569326,570409,571605,572773,573880,574951,575989,576994,577972,578914,579879,580715,581587,582443,583312,584112,584837,585546,586263,587028,587728,588425,589167,589828,590456,591114,591761,592384,593005,593546,594097,594627,595152,595669,
78170,1,93,888,3611,8807,16761,27064,39217,52957,67459,82552,97676,112954,127770,142239,156457,170225,183425,196375,208784,220653,232043,242748,253105,263097,272474,281657,290342,298639,306490,314234,321678,328652,335402,341811,348069,353953,359630,365236,370535,375592,380416,385118,389725,394014,398239,402313,406235,409875,413529,417098,420448,423826,427008,430107,432944,435733,438472,441258,443831,446343,448714,451094,453329,455556,457660,459723,461770,463750,465619,467398,469052,470783,472436,474091,475682,477138,478612,480026,481459,482863,484166,485482,486773,488019,489165,490340,491383,492454,493545,494551,495558,496539,497511,498460,499386,500299,501120,501966,502738,503586,504342,505127,505835,506599,507306,508004,508648,509290,509910,510521,511138,511694,512295,512912,513476,513999,514570,515074,
78180,0,37,450,1941,5299,10887,18406,27691,38456,50235,62613,75353,88092,100902,113542,126103,138289,150255,161787,172957,183737,194045,204157,213806,223006,231817,240261,248426,256148,263558,270768,277647,284241,290693,296896,302902,308557,314023,319333,324385,329269,333933,338433,342790,346926,351023,354890,358677,362280,365814,369253,372475,375659,378814,381804,384684,387444,390028,392574,395136,397610,399927,402147,404412,406560,408604,410552,412532,414424,416260,418070,419833,421593,423260,424927,426486,428057,429537,430921,432369,433782,435035,436292,437555,438764,439971,441085,442212,443310,444401,445480,446483,447450,448354,449281,450194,451052,451888,452736,453522,454278,455010,455761,456489,457227,457901,458618,459251,459906,460546,461161,461759,462395,462956,463498,464055,464582,465124,465626,
78190,0,10,208,1051,3036,6626,11848,18694,26738,35888,45704,55996,66513,77232,87856,98631,109073,119494,129763,139541,149053,158340,167337,176018,184424,192723,200550,208018,215259,222117,228821,235296,241475,247488,253334,258780,264005,269228,274229,279013,283585,288080,292368,296596,300660,304620,308366,311981,315436,318765,321927,325143,328229,331232,334062,336814,339437,342101,344574,346984,349338,351627,353861,355994,358170,360182,362071,364026,365943,367723,369520,371311,372933,374506,376064,377559,379038,380434,381827,383209,384526,385866,387105,388338,389571,390714,391849,392976,394035,395090,396120,397055,397977,398878,399812,400694,401519,402354,403138,403962,404727,405475,406173,406884,407595,408267,408895,409542,410219,410872,411498,412067,412591,413180,413762,414294,414801,415301,415822,
78200,0,5,79,453,1542,3658,6983,11503,17076,23720,31115,39077,47422,56137,64893,73683,82498,91132,99720,108081,116389,124327,132167,139799,147289,154573,161691,168404,174938,181318,187472,193383,199170,204711,210140,215353,220143,224916,229620,234027,238328,242415,246476,250337,254111,257731,261341,264761,268094,271234,274316,277314,280205,283066,285723,288391,290991,293478,295867,298125,300350,302608,304745,306863,308852,310714,312602,314361,316171,317913,319624,321261,322856,324354,325808,327229,328636,329990,331369,332650,333898,335119,336377,337557,338712,339817,341022,342077,343068,344071,345073,346078,346974,347912,348766,349614,350452,351268,352088,352886,353627,354329,355091,355770,356455,357123,357761,358424,359057,359700,360311,360906,361436,361981,362540,363031,363522,364029,364520,
78210,0,0,22,166,716,1807,3664,6474,10144,14541,19839,25531,31828,38311,44910,51761,58883,65957,73048,80164,86923,93693,100273,106786,113233,119514,125615,131561,137334,142928,148495,153740,158849,163796,168536,173176,177684,181992,186125,190120,194013,197779,201522,205164,208680,212067,215376,218647,221726,224597,227421,230201,232946,235491,237968,240434,242730,245019,247267,249437,251556,253713,255763,257723,259602,261393,263143,264888,266518,268151,269751,271272,272795,274209,275716,277119,278545,279924,281290,282501,283691,284881,285979,287095,288245,289376,290380,291397,292392,293327,294252,295212,296145,297012,297829,298669,299439,300236,301003,301759,302484,303164,303851,304497,305163,305842,306482,307123,307720,308322,308897,309477,310011,310525,311074,311663,312167,312707,313210,
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78370,0,44,400,1846,4950,9874,16833,25348,35044,45797,56970,68652,80338,92008,103525,115048,126381,137438,147851,158071,168009,177589,186658,195670,204175,212280,220107,227733,235055,242103,248806,255327,261477,267407,273203,278616,283907,289015,293837,298488,303053,307409,311743,315859,319805,323591,327337,330943,334301,337691,340957,344061,347026,349942,352698,355421,357979,360523,362916,365382,367744,369983,372221,374373,376461,378507,380479,382367,384167,385836,387507,389158,390785,392308,393863,395295,396792,398193,399602,400925,402278,403586,404832,405954,407098,408233,409331,410426,411469,412506,413520,414449,415406,416310,417194,418090,418894,419714,420517,421298,422044,422807,423556,424232,424911,425596,426251,426896,427510,428090,428697,429301,429858,430391,430934,431424,431927,432447,432918,
78380,1,11,161,860,2597,5638,10019,15942,23081,31054,39567,48724,58133,67532,77124,86754,96353,105694,114686,123550,132258,140766,148834,156735,164471,171984,179067,186064,192802,199274,205411,211467,217180,222725,227932,232982,238024,242770,247365,251870,256181,260306,264375,268275,272007,275646,279198,282470,285784,288954,291970,294942,297818,300545,303229,305888,308352,310790,313033,315361,317519,319695,321814,323899,325900,327758,329643,331423,333187,334865,336481,338181,339761,341385,342823,344230,345623,347038,348367,349655,350926,352168,353354,354466,355597,356691,357765,358791,359811,360778,361723,362665,363555,364388,365264,366107,366945,367765,368582,369391,370109,370834,371555,372287,372956,373587,374185,374798,375433,376047,376636,377191,377742,378303,378851,379311,379833,380344,380818,
78390,0,3,67,365,1204,2831,5571,9292,14122,19672,25876,32600,39786,47154,54682,62295,70037,77650,85257,92617,99933,107174,113999,120763,127371,133921,140054,146029,152029,157781,163249,168486,173745,178808,183644,188378,192868,197200,201481,205448,209504,213338,217009,220666,224150,227478,230712,233880,236940,239875,242778,245646,248350,250845,253351,255793,258210,260518,262766,264956,267048,269064,271024,272947,274792,276617,278368,280135,281787,283352,284936,286426,287899,289376,290853,292251,293592,294881,296187,297400,298603,299787,300941,302023,303121,304172,305151,306207,307183,308122,309072,309976,310873,311740,312580,313473,314284,315069,315839,316550,317243,317906,318544,319147,319787,320441,321057,321694,322288,322898,323500,324098,324633,325190,325738,326251,326749,327233,327721,
78400,0,1,17,133,507,1263,2628,4743,7543,10980,14987,19475,24268,29546,34985,40666,46583,52384,58336,64196,70071,75827,81655,87375,92822,98205,103457,108637,113558,118281,123092,127715,132297,136571,140890,145093,149102,152934,156577,160065,163529,166873,170219,173473,176637,179679,182628,185495,188198,190874,193493,196010,198594,200911,203174,205435,207583,209704,211812,213849,215781,217671,219563,221340,223132,224791,226466,228087,229604,231161,232636,234047,235537,236881,238269,239581,240805,242010,243259,244391,245554,246663,247733,248767,249822,250866,251858,252852,253773,254702,255578,256453,257310,258132,258920,259731,260478,261185,261871,262610,263315,263969,264591,265236,265809,266404,267001,267593,268179,268743,269300,269837,270404,270906,271357,271841,272331,272767,273279,
78410,0,0,3,30,181,518,1212,2330,3815,5931,8451,11376,14741,18338,22235,26316,30546,34960,39448,44046,48709,53407,57925,62283,66793,71113,75432,79710,83922,88138,92215,96147,99993,103745,107467,111024,114490,117914,121171,124369,127467,130431,133426,136261,139163,141961,144552,147191,149654,152057,154327,156680,158846,161045,163223,165224,167186,169086,170928,172782,174572,176353,178063,179752,181329,182880,184348,185796,187172,188557,189894,191224,192490,193763,195019,196268,197469,198622,199718,200777,201823,202798,203806,204797,205751,206677,207653,208551,209447,210335,211163,212010,212805,213569,214340,215063,215808,216495,217166,217812,218492,219064,219680,220288,220878,221469,222004,222537,223118,223647,224196,224702,225200,225656,226135,226615,227098,227563,228001,
78420,0,0,0,4,29,133,382,867,1664,2685,4065,5684,7645,9902,12392,15045,17831,20910,23961,27235,30478,33711,37081,40520,43927,47277,50549,53805,57035,60215,63427,66549,69615,72601,75606,78427,81253,84071,86699,89368,91966,94569,96868,99299,101611,103913,106177,108317,110458,112625,114639,116675,118534,120419,122281,124106,125887,127556,129259,130859,132389,133902,135343,136823,138264,139652,141076,142493,143832,145057,146257,147449,148651,149864,150963,152032,153120,154128,155134,156123,157117,158066,159015,159876,160747,161587,162405,163267,164070,164885,165631,166385,167088,167819,168472,169168,169854,170514,171144,171782,172420,172978,173540,174119,174649,175178,175721,176241,176769,177265,177735,178242,178685,179167,179594,180086,180483,180897,181298,
78430,0,0,0,1,5,18,89,217,449,841,1422,2149,3047,4170,5458,6874,8379,10099,11966,13919,15900,18036,20166,22297,24524,26767,29087,31486,33792,36018,38289,40482,42699,44944,47189,49429,51656,53789,55818,57799,59820,61766,63749,65663,67508,69336,71133,72839,74576,76181,77801,79364,80880,82392,83946,85406,86773,88230,89542,90898,92205,93422,94690,95952,97187,98325,99441,100511,101658,102710,103776,104838,105780,106757,107700,108614,109575,110480,111364,112179,112982,113800,114582,115367,116099,116875,117588,118320,119041,119728,120395,121067,121696,122276,122849,123459,124006,124578,125129,125631,126198,126713,127249,127727,128235,128708,129175,129633,130107,130529,130941,131382,131756,132173,132549,132946,133325,133702,134090,
78440,0,0,0,0,0,1,8,31,66,153,288,470,731,1061,1512,2042,2663,3358,4129,5054,6005,6997,8060,9191,10399,11599,12805,14035,15324,16609,17999,19321,20731,22068,23372,24691,26048,27372,28705,30035,31368,32626,33882,35198,36453,37635,38878,40107,41255,42418,43584,44739,45862,46964,48021,49057,50057,51007,51982,52971,53976,54886,55802,56717,57610,58501,59360,60164,60997,61823,62616,63386,64152,64919,65621,66357,67076,67746,68415,69038,69691,70335,70950,71628,72228,72757,73328,73918,74482,75056,75613,76114,76599,77057,77553,78010,78462,78955,79416,79846,80268,80677,81093,81503,81893,82289,82689,83053,83414,83783,84162,84550,84883,85226,85538,85892,86221,86542,86841,
78450,32,2558,19188,60507,124832,203068,286205,369252,448251,521655,587981,648556,703712,753307,797658,837599,873648,906369,935787,962502,986995,1009353,1030007,1048411,1065542,1081356,1096052,1109741,1122277,1133943,1144832,1154912,1164233,1173146,1181357,1189329,1196603,1203488,1209924,1216020,1221761,1227281,1232327,1237158,1241746,1246032,1250124,1254004,1257729,1261285,1264700,1267818,1270952,1273826,1276600,1279280,1281752,1284018,1286313,1288459,1290451,1292406,1294332,1296217,1298018,1299706,1301308,1302861,1304434,1305863,1307276,1308570,1309845,1311101,1312304,1313437,1314532,1315607,1316678,1317629,1318563,1319443,1320272,1321132,1321965,1322761,1323518,1324293,1325007,1325728,1326400,1327026,1327649,1328276,1328851,1329418,1329974,1330487,1330997,1331533,1331991,1332442,1332913,1333326,1333746,1334168,1334574,1334933,1335288,1335609,1335935,1336290,1336637,1336956,1337249,1337547,1337843,1338142,1338436,
78460,1,251,3526,15731,40541,77099,122578,172614,224241,275661,325440,372793,416842,457833,496045,531454,563810,593694,621260,647027,670706,692517,712974,731760,748999,765177,780406,794498,807534,819553,831011,841742,851989,861594,870584,878924,886876,894219,901207,907916,914151,920087,925837,931073,936089,940861,945507,949848,953966,957958,961827,965352,968754,972075,975089,978055,980887,983671,986316,988771,991094,993410,995586,997681,999704,1001652,1003520,1005313,1007034,1008756,1010386,1011875,1013332,1014728,1016062,1017453,1018716,1019885,1021047,1022195,1023240,1024277,1025246,1026223,1027101,1027991,1028922,1029845,1030648,1031482,1032286,1033005,1033723,1034406,1035051,1035687,1036280,1036904,1037497,1038083,1038639,1039133,1039652,1040169,1040697,1041181,1041712,1042176,1042617,1043041,1043449,1043876,1044243,1044597,1044942,1045299,1045638,1046001,1046291,
78470,0,72,1263,6805,20086,42024,71521,106079,143647,182675,222171,260515,297440,332831,366369,397603,426503,454147,479687,503505,525417,545921,565055,582968,599671,615405,629916,643505,656116,667993,679244,689907,699967,709353,718262,726592,734426,741923,749016,755766,762150,768210,773915,779234,784249,789231,794005,798373,802575,806539,810308,813922,817440,820847,823982,826979,829911,832696,835353,838030,840512,842859,845215,847360,849471,851451,853442,855344,857135,858831,860511,862057,863643,865116,866599,867968,869336,870591,871860,873045,874180,875252,876300,877304,878340,879330,880307,881176,881999,882834,883641,884396,885160,885847,886581,887279,887975,888623,889230,889829,890392,890943,891471,892025,892569,893071,893550,893974,894438,894935,895385,895846,896263,896674,897066,897455,897789,898150,898507,
78480,0,14,348,2507,8545,20159,37421,59230,84859,112319,141242,170470,199532,227875,255389,281655,306687,330417,352687,373809,393553,412230,429537,446083,461338,475739,489455,502339,514402,525637,536381,546465,556091,565124,573686,581895,589538,596904,603876,610557,616788,622789,628501,633892,639085,643932,648567,653063,657099,661063,664838,668462,672005,675313,678567,681689,684649,687525,690279,692856,695316,697741,700016,702219,704358,706346,708282,710165,711882,713688,715409,717134,718732,720273,721699,723118,724516,725843,727109,728280,729472,730656,731703,732823,733860,734904,735858,736802,737735,738607,739500,740317,741096,741837,742565,743316,743997,744636,745275,745945,746507,747126,747701,748291,748839,749327,749778,750280,750770,751250,751708,752174,752613,753027,753423,753825,754236,754640,755020,
78490,0,2,82,708,3040,8060,16773,29077,44413,62107,81229,101576,122591,143270,163989,184285,204195,223251,241464,258965,275619,291571,306668,321213,334790,347634,359786,371252,382223,392584,402419,411713,420650,429071,436997,444551,451763,458669,465333,471646,477559,483158,488439,493635,498591,503191,507603,511789,515759,519663,523469,527124,530587,533850,537080,540136,543040,545776,548418,551070,553522,555833,558091,560318,562369,564406,566431,568311,570129,571859,573606,575287,576902,578385,579877,581278,582647,583889,585113,586310,587452,588595,589720,590801,591848,592839,593807,594717,595632,596511,597414,598276,599073,599828,600573,601356,602040,602733,603402,604019,604633,605226,605763,606311,606870,607398,607931,608431,608931,609421,609870,610332,610759,611191,611619,612024,612418,612793,613180,
78500,0,2,32,348,1661,4825,10478,18741,29741,43191,58270,74280,91119,108519,125793,143094,160205,176827,192978,208478,223285,237609,251236,264171,276526,288305,299577,310400,320556,330166,339402,347893,356360,364239,371785,379085,385929,392366,398592,404552,410233,415617,420738,425613,430471,434912,439369,443533,447449,451357,454897,458410,461762,465028,468062,471058,473892,476613,479230,481718,484222,486627,488762,490920,493121,495120,497026,498918,500619,502429,504044,505631,507110,508707,510209,511551,512887,514149,515404,516691,517897,519121,520218,521283,522348,523386,524357,525250,526169,527035,527877,528706,529510,530245,530974,531671,532411,533104,533780,534383,534985,535593,536160,536717,537264,537802,538315,538790,539298,539766,540236,540714,541152,541567,541970,542329,542720,543116,543470,
78510,0,0,10,156,790,2585,6028,11529,18975,28420,39569,51977,64960,78811,92999,107331,121539,135929,149677,162957,175747,188209,200166,211739,222739,233433,243585,253215,262575,271410,279889,288205,296026,303374,310540,317097,323624,329733,335529,341199,346628,351664,356476,361176,365638,369940,374059,378011,381710,385399,388824,392233,395432,398593,401520,404371,407119,409798,412395,414894,417253,419551,421686,423793,425805,427831,429775,431506,433284,435009,436698,438263,439812,441265,442686,444035,445425,446718,447943,449098,450294,451404,452467,453501,454545,455530,456486,457452,458374,459206,460049,460887,461668,462371,463119,463819,464532,465208,465863,466510,467108,467690,468276,468839,469351,469856,470390,470887,471362,471858,472335,472780,473235,473663,474094,474468,474866,475276,475612,
78520,0,0,4,56,350,1279,3231,6550,11393,17750,25448,34275,44354,54889,65912,77184,88573,100113,111567,122962,133902,144656,155156,165206,174815,184365,193490,202122,210448,218444,226167,233537,240537,247241,253624,259622,265529,271230,276611,281928,286867,291694,296317,300692,304891,309077,312912,316561,320181,323674,326946,330109,333100,335979,338807,341524,344030,346509,348947,351267,353576,355736,357803,359755,361808,363676,365514,367211,368841,370469,372085,373636,375072,376467,377838,379163,380443,381731,382892,384064,385189,386282,387329,388358,389383,390316,391161,392030,392934,393749,394550,395367,396107,396881,397604,398265,398921,399596,400311,400913,401550,402095,402646,403173,403689,404170,404662,405175,405604,406054,406515,406951,407372,407765,408182,408601,408984,409368,409781,
78530,0,0,5,23,139,539,1481,3336,6248,10280,15299,21349,28211,35645,43931,52346,61121,70152,79386,88232,97047,105945,114466,122968,131290,139358,147038,154392,161594,168542,175292,181882,188064,193926,199663,204959,210253,215336,220170,224910,229499,233832,237985,241944,245866,249613,253195,256632,259879,263074,266072,268974,271780,274563,277133,279751,282211,284585,286782,289029,291113,293141,295133,297021,298856,300677,302460,304073,305654,307221,308762,310209,311600,312952,314206,315498,316805,318039,319203,320305,321391,322415,323349,324352,325310,326202,327097,327967,328831,329663,330454,331216,332032,332786,333458,334128,334782,335447,336039,336600,337156,337699,338240,338799,339302,339790,340276,340747,341187,341638,342060,342490,342885,343300,343723,344134,344486,344826,345146,
78540,0,0,0,8,58,290,910,2109,4028,6817,10616,15196,20578,26542,33152,40008,47328,54685,62350,70142,77766,85471,92997,100423,107581,114826,121830,128630,135057,141343,147330,153103,158767,164323,169696,174840,179715,184581,189033,193389,197506,201578,205516,209302,212994,216405,219782,223072,226266,229310,232231,235002,237724,240373,242888,245336,247712,249949,252118,254230,256138,258118,259940,261736,263471,265169,266786,268282,269854,271361,272815,274190,275560,276816,278079,279265,280426,281541,282630,283714,284727,285691,286701,287610,288542,289388,290270,291126,291946,292711,293495,294176,294945,295633,296310,296928,297553,298140,298713,299262,299861,300382,300922,301449,301963,302460,302948,303437,303871,304282,304708,305150,305540,305931,306366,306713,307088,307443,307775,
78550,0,0,0,4,28,148,487,1209,2474,4319,6954,10296,14243,18823,23901,29373,35138,41116,47284,53600,60013,66489,72918,79152,85337,91483,97550,103451,109184,114723,120058,125369,130345,135115,139864,144492,149057,153334,157529,161533,165429,169174,172689,176214,179570,182786,185993,189043,191910,194681,197378,199983,202552,204971,207322,209567,211718,213938,215990,217903,219780,221618,223409,225128,226798,228367,229937,231453,232871,234283,235657,237029,238346,239586,240752,241909,243017,244121,245211,246226,247204,248184,249069,249961,250868,251733,252624,253424,254269,255012,255746,256500,257191,257858,258502,259097,259688,260288,260862,261397,261952,262514,263059,263591,264064,264522,264954,265398,265848,266225,266618,267043,267462,267868,268254,268622,268960,269280,269631,
78560,0,0,0,1,11,72,259,695,1489,2632,4308,6555,9326,12634,16417,20528,25032,29806,34702,39820,44914,50172,55302,60548,65747,70961,76204,81262,86114,90975,95638,100275,104791,109053,113384,117496,121320,125059,128707,132312,135846,139172,142439,145571,148610,151494,154250,157030,159706,162293,164805,167164,169503,171724,173953,176048,178120,180091,182019,183852,185581,187333,188999,190662,192233,193728,195208,196674,198049,199383,200661,201919,203130,204289,205360,206412,207409,208416,209405,210392,211319,212231,213131,214025,214852,215667,216473,217209,217953,218607,219324,220002,220659,221353,221978,222608,223195,223784,224337,224859,225393,225948,226441,226959,227457,227901,228342,228814,229236,229632,230044,230445,230834,231177,231548,231912,232257,232602,232914,
78570,0,0,0,1,7,35,112,313,723,1392,2443,3859,5689,7994,10587,13563,16722,20180,23811,27709,31764,35965,40099,44344,48553,52702,57017,61210,65198,69259,73190,76982,80909,84609,88296,91967,95414,98841,102115,105220,108273,111272,114191,117065,119784,122438,125089,127449,129953,132223,134438,136593,138705,140681,142654,144516,146402,148183,149999,151631,153279,154855,156443,157919,159361,160803,162145,163464,164761,166011,167208,168396,169557,170576,171635,172652,173649,174635,175617,176558,177438,178293,179135,179927,180688,181455,182181,182927,183590,184321,184981,185588,186238,186828,187426,188003,188577,189136,189644,190159,190626,191096,191567,192021,192477,192911,193332,193742,194141,194533,194891,195252,195572,195906,196241,196568,196872,197181,197441,
78580,0,0,0,0,4,11,38,119,295,627,1157,1973,3045,4402,5990,7982,10223,12752,15481,18356,21286,24363,27495,30721,33990,37314,40576,43863,47203,50439,53517,56635,59667,62714,65783,68795,71650,74450,77195,79849,82501,85062,87446,89843,92059,94299,96396,98522,100528,102597,104554,106421,108262,110098,111883,113588,115193,116784,118306,119821,121279,122718,124108,125427,126700,127961,129191,130417,131530,132677,133780,134786,135784,136758,137707,138589,139495,140432,141278,142155,142947,143719,144434,145195,145902,146608,147277,147962,148626,149275,149854,150429,151021,151594,152146,152690,153194,153690,154156,154629,155068,155517,155958,156379,156775,157169,157565,157947,158324,158701,159021,159383,159710,160060,160349,160651,160928,161204,161503,
78590,0,0,0,0,1,1,14,53,144,282,579,1016,1623,2433,3451,4739,6167,7809,9573,11598,13685,15853,18165,20528,22874,25314,27868,30480,33033,35653,38185,40701,43232,45726,48204,50630,53088,55493,57789,60034,62233,64329,66450,68479,70460,72366,74246,76042,77894,79671,81297,82961,84633,86232,87727,89182,90617,92007,93363,94722,95972,97222,98414,99658,100839,101962,103028,104071,105085,106116,107092,108065,108985,109870,110755,111616,112469,113240,113990,114668,115376,116030,116727,117408,118088,118749,119398,119955,120532,121118,121692,122205,122727,123266,123760,124253,124701,125169,125622,126063,126517,126921,127356,127758,128118,128513,128861,129202,129528,129843,130174,130484,130820,131105,131406,131712,131984,132280,132544,
78600,0,0,0,0,0,1,2,19,54,132,257,476,789,1210,1785,2472,3349,4278,5369,6583,7941,9361,10953,12598,14291,16085,17913,19836,21677,23559,25420,27341,29256,31162,33006,34844,36633,38437,40233,41971,43724,45438,47153,48782,50371,51944,53529,55008,56428,57836,59258,60596,61978,63310,64647,65846,67051,68261,69312,70427,71478,72522,73564,74524,75510,76498,77402,78300,79126,80012,80863,81722,82552,83374,84132,84850,85558,86270,86940,87610,88255,88880,89553,90140,90716,91308,91848,92360,92873,93376,93843,94340,94781,95207,95671,96119,96529,96893,97318,97701,98095,98455,98830,99165,99500,99821,100135,100443,100720,101036,101339,101614,101898,102175,102442,102705,102976,103222,103475,
78610,0,0,0,0,0,0,0,3,10,31,61,140,261,413,629,961,1376,1827,2413,3097,3873,4703,5627,6564,7571,8654,9791,10956,12164,13427,14698,15991,17303,18585,19921,21199,22549,23865,25130,26460,27728,28981,30194,31392,32614,33813,34978,36077,37186,38319,39454,40549,41626,42609,43639,44667,45664,46592,47492,48394,49275,50110,50961,51787,52609,53392,54147,54863,55595,56317,56985,57707,58343,58966,59571,60190,60730,61283,61890,62419,62907,63433,64001,64499,64986,65460,65954,66397,66843,67321,67770,68158,68526,68925,69283,69668,70019,70344,70665,71005,71345,71675,72003,72297,72582,72849,73128,73398,73688,73948,74183,74437,74691,74942,75177,75390,75602,75812,76037,
78620,0,0,0,0,0,0,0,1,2,4,9,22,54,94,160,257,391,552,781,1061,1373,1725,2147,2554,2984,3528,4068,4647,5307,5956,6642,7318,8049,8807,9507,10279,11026,11769,12602,13423,14200,14950,15766,16543,17340,18141,18883,19618,20347,21102,21795,22492,23201,23881,24531,25198,25908,26562,27196,27797,28431,29008,29610,30235,30764,31320,31856,32376,32888,33435,33920,34398,34908,35376,35849,36299,36721,37133,37564,37946,38334,38744,39123,39534,39889,40244,40609,40944,41288,41582,41891,42214,42519,42828,43135,43444,43743,44006,44272,44542,44810,45071,45337,45583,45799,46030,46254,46466,46661,46868,47054,47265,47457,47629,47805,47976,48126,48304,48452,
78632,1317,19938,72302,150686,239777,330138,415200,492715,562808,625407,681939,731867,776836,816898,852775,885142,914109,940236,964066,985846,1005623,1023708,1040543,1056058,1070250,1083729,1095894,1106922,1117444,1127103,1136410,1145016,1152903,1160368,1167634,1174086,1180380,1186318,1191830,1197035,1202001,1206657,1211125,1215290,1219261,1223073,1226667,1230124,1233388,1236462,1239434,1242204,1244819,1247406,1249878,1252178,1254385,1256545,1258548,1260481,1262307,1264078,1265674,1267303,1268855,1270405,1271875,1273265,1274548,1275833,1277057,1278209,1279340,1280496,1281551,1282611,1283609,1284515,1285471,1286385,1287311,1288144,1288911,1289708,1290418,1291136,1291814,1292499,1293147,1293794,1294397,1294988,1295531,1296050,1296554,1297088,1297605,1298093,1298587,1299058,1299469,1299925,1300328,1300733,1301164,1301565,1301905,1302286,1302658,1302987,1303334,1303638,1303969,1304249,1304506,1304773,1305058,1305307,1305563,
78640,138,4224,21806,56777,105015,160198,217831,275131,329313,380085,427409,470644,510252,546324,579513,609667,637227,662788,686504,708119,728011,746634,763796,779650,794287,807731,820442,832422,843440,853856,863528,872740,881229,889489,897184,904278,910966,917368,923425,929183,934535,939647,944501,949027,953401,957505,961359,965118,968689,972003,975409,978591,981497,984375,987050,989702,992197,994606,996830,998996,1001009,1002966,1004870,1006790,1008515,1010246,1011946,1013606,1015159,1016660,1018034,1019406,1020769,1022045,1023250,1024382,1025531,1026629,1027624,1028642,1029567,1030557,1031476,1032293,1033154,1033972,1034799,1035560,1036260,1036965,1037664,1038310,1038964,1039599,1040186,1040752,1041324,1041904,1042471,1043009,1043479,1043953,1044455,1044949,1045421,1045860,1046260,1046664,1047041,1047422,1047765,1048154,1048524,1048835,1049145,1049473,1049755,1050064,1050370,
78650,25,1552,10132,30309,61379,100652,143581,188329,232411,274845,315283,353049,388255,421362,451660,480139,505992,530078,552646,573221,592291,610267,626676,642036,656520,669915,682317,693941,705155,715405,725023,734254,742807,751018,758722,766087,772982,779564,785675,791547,796913,802116,807056,811750,816211,820514,824638,828500,832252,835831,839282,842473,845538,848410,851158,853821,856444,858856,861207,863480,865684,867821,869856,871816,873624,875392,877135,878796,880397,881914,883380,884806,886184,887480,888754,889940,891151,892279,893306,894369,895441,896444,897414,898380,899281,900108,900971,901774,902535,903314,904013,904767,905442,906187,906811,907429,908043,908614,909158,909728,910274,910802,911290,911785,912221,912707,913149,913560,913961,914339,914730,915120,915517,915870,916187,916516,916864,917200,917505,
78660,4,451,3963,14183,32048,56776,86656,118853,152216,185591,217979,249502,279574,307919,334448,359262,382400,404311,424626,443530,461412,478124,493726,508360,522118,535087,547180,558525,569035,579014,588316,597329,605646,613608,621144,628435,635014,641326,647250,653061,658477,663671,668704,673350,677865,682174,686306,690208,693892,697419,700882,704052,707156,710147,713064,715779,718338,720908,723260,725642,727852,730028,732082,734010,735900,737721,739394,741118,742740,744306,745848,747311,748731,750074,751368,752686,753902,755068,756199,757329,758369,759368,760352,761320,762194,763106,763966,764764,765593,766372,767052,767743,768443,769114,769753,770421,771023,771637,772230,772821,773406,773949,774479,774962,775485,775988,776425,776901,777362,777789,778181,778601,778970,779337,779712,780073,780431,780732,781057,
78670,2,96,1154,5339,14201,27624,45559,66337,89145,113146,137409,161712,185032,207531,229507,250146,269651,288298,305965,322730,338632,353337,367266,380728,393065,405068,416239,426755,436815,446103,455028,463358,471301,479020,486277,493194,499609,505755,511576,517166,522553,527645,532512,537002,541388,545603,549681,553635,557258,560827,564155,567317,570322,573305,576117,578750,581402,583875,586346,588636,590910,593047,595085,597050,598984,600793,602539,604256,605862,607462,609033,610502,611884,613258,614592,615901,617037,618199,619267,620411,621452,622517,623526,624483,625443,626380,627273,628087,628835,629617,630371,631096,631798,632506,633181,633858,634561,635172,635745,636326,636890,637442,638006,638542,639054,639544,639995,640436,640859,641311,641730,642169,642571,642957,643331,643675,643989,644330,644675,
78680,1,46,581,2885,8454,17802,30869,46878,64868,84214,104194,124392,144546,164062,183089,201552,219140,236006,251887,267331,281747,295585,308645,321000,332739,343735,354225,364167,373413,382388,390574,398599,406371,413532,420554,426955,433202,439293,445093,450467,455534,460397,465125,469523,473684,477751,481743,485609,489156,492627,495982,499232,502241,505122,507941,510547,512992,515339,517761,520034,522254,524371,526459,528588,530505,532320,534138,535793,537443,539008,540517,542026,543389,544743,545998,547282,548497,549714,550879,551991,553048,554068,555103,556060,557027,557896,558748,559616,560420,561195,561951,562702,563413,564147,564837,565492,566147,566795,567362,567946,568527,569064,569614,570122,570589,571087,571563,572011,572477,572953,573372,573772,574198,574584,574962,575319,575680,576049,576390,
78690,0,10,255,1505,4784,10829,19773,31240,44865,60144,75987,92523,109089,125648,141838,157601,172985,187567,201770,215377,228541,240917,252699,264140,274796,285056,294857,304163,312926,321234,329166,336811,344112,350929,357590,363683,369673,375408,380830,386017,390998,395790,400279,404652,408735,412660,416439,420144,423665,427111,430299,433412,436423,439291,441975,444624,447143,449501,451788,453989,456147,458224,460198,462164,464038,465823,467557,469194,470773,472288,473799,475275,476638,478001,479274,480545,481723,482907,484072,485133,486190,487202,488180,489148,490047,490943,491821,492702,493503,494276,495015,495750,496441,497136,497820,498454,499133,499759,500344,500920,501510,502083,502609,503131,503645,504103,504600,505058,505522,505963,506399,506798,507176,507560,507917,508297,508653,508998,509318,
78700,0,4,88,654,2404,5980,11617,19322,28953,40040,52081,64636,77695,91088,104575,117562,130622,143374,155516,167383,178923,189936,200406,210389,219972,229081,237992,246350,254459,262155,269567,276511,283192,289567,295574,301375,306995,312295,317409,322274,326975,331421,335646,339748,343628,347436,351074,354551,357764,360977,364055,367000,369820,372478,375138,377760,380104,382346,384580,386791,388862,390889,392863,394745,396473,398164,399876,401477,403047,404556,405997,407381,408742,410040,411247,412562,413734,414881,415986,417130,418227,419231,420221,421155,422065,422960,423826,424629,425450,426221,426953,427706,428375,429064,429706,430389,431032,431692,432249,432824,433372,433918,434433,434910,435407,435884,436338,436804,437263,437726,438108,438540,438914,439282,439660,440018,440375,440727,441100,
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78900,0,5,108,592,2014,4676,9051,14934,22188,30465,39467,49216,59155,69211,79422,89621,99623,109469,119042,128495,137474,146210,154537,162699,170544,177942,185032,191903,198543,204993,211126,216955,222416,227680,232910,237787,242418,246856,251037,255184,259094,262955,266545,270022,273371,276656,279621,282643,285572,288325,290902,293500,296018,298402,300678,302843,304890,306881,308799,310624,312413,314172,315866,317497,319139,320694,322201,323593,325008,326317,327628,328865,330081,331258,332395,333503,334605,335607,336600,337500,338442,339315,340238,341112,341950,342746,343533,344299,344992,345702,346368,347062,347703,348351,348968,349575,350174,350729,351264,351784,352280,352783,353319,353764,354215,354681,355101,355502,355934,356304,356701,357071,357424,357754,358084,358391,358697,359009,359310,
78910,0,2,33,278,1052,2775,5692,9771,14924,21088,28272,35846,43996,52394,60828,69449,77952,86418,94842,103049,110883,118453,125924,133228,140246,147110,153514,159827,165883,171689,177186,182502,187535,192491,197255,201754,206042,210215,214262,218039,221644,225170,228726,231985,235164,238291,241257,244013,246749,249432,251962,254394,256814,259075,261242,263265,265235,267199,269085,270916,272645,274386,276038,277581,279058,280537,281976,283418,284702,285990,287267,288466,289632,290754,291875,292854,293879,294837,295804,296632,297542,298454,299229,300023,300816,301633,302405,303174,303921,304596,305273,305914,306542,307179,307778,308363,308927,309481,310015,310546,311032,311491,311926,312389,312846,313230,313690,314126,314517,314902,315344,315688,316042,316365,316689,317017,317319,317632,317940,
78920,0,0,16,152,581,1638,3468,6252,9906,14415,19805,25573,31843,38320,45173,52267,59224,66338,73341,80315,87133,93776,100324,106632,112723,118606,124542,130201,135543,140792,145744,150574,155180,159682,163917,168118,172071,175846,179430,182978,186466,189730,192838,195870,198865,201710,204537,207122,209701,212117,214393,216652,218907,220993,223154,225067,226966,228815,230555,232336,234018,235592,237176,238675,240047,241524,242888,244238,245506,246723,247889,249071,250163,251199,252250,253222,254131,255095,256005,256943,257826,258684,259461,260228,260992,261728,262474,263209,263888,264583,265261,265925,266530,267113,267649,268176,268715,269192,269757,270229,270758,271239,271684,272140,272540,272955,273364,273731,274101,274486,274858,275217,275571,275912,276237,276529,276857,277155,277470,
78930,0,0,8,51,243,772,1794,3460,5802,8805,12419,16646,21238,26079,31391,36911,42515,48125,53943,59496,65351,70843,76247,81458,86588,91717,96598,101528,106160,110692,115126,119323,123518,127488,131333,134967,138497,142031,145334,148514,151606,154557,157501,160248,162903,165546,168016,170460,172741,175009,177182,179306,181316,183313,185161,186954,188759,190497,192089,193703,195281,196753,198214,199576,200939,202336,203557,204755,205871,207041,208110,209239,210310,211301,212270,213247,214177,215075,215924,216726,217575,218334,219097,219872,220645,221355,222040,222722,223380,224011,224594,225178,225704,226268,226802,227349,227904,228391,228872,229342,229787,230251,230715,231165,231542,231943,232313,232698,233032,233437,233801,234131,234437,234761,235066,235402,235670,235975,236270,
78940,0,0,0,16,81,301,774,1678,2966,4702,6978,9796,12850,16194,19936,23763,27992,32235,36488,40901,45314,49750,54203,58352,62567,66806,71003,74952,78849,82649,86372,90066,93499,96907,100169,103357,106540,109540,112445,115254,117916,120552,123107,125588,127908,130172,132367,134552,136680,138714,140684,142635,144377,146133,147836,149491,151095,152725,154222,155622,157026,158385,159751,161097,162373,163576,164704,165815,166905,167938,168933,169953,170877,171863,172819,173733,174598,175396,176175,176923,177699,178423,179169,179820,180511,181154,181811,182410,183034,183599,184151,184687,185209,185749,186283,186815,187316,187765,188205,188655,189090,189523,189935,190337,190692,191108,191506,191868,192186,192552,192888,193199,193529,193846,194118,194409,194692,194995,195258,
78950,0,0,0,9,43,145,368,840,1581,2607,3996,5681,7772,10154,12727,15594,18466,21555,24740,27953,31328,34699,38143,41479,44897,48244,51368,54693,57913,61113,64213,67197,70246,73107,75951,78687,81239,83924,86431,88870,91244,93502,95839,98062,100159,102215,104158,106074,107852,109674,111395,113099,114819,116417,117947,119375,120820,122223,123624,124905,126175,127402,128622,129764,130997,132062,133143,134176,135192,136143,137103,138064,138995,139859,140728,141550,142294,143042,143790,144501,145215,145888,146568,147223,147831,148446,149021,149639,150233,150808,151304,151802,152315,152809,153277,153730,154186,154620,155026,155474,155888,156299,156635,157008,157389,157747,158087,158406,158733,159018,159320,159647,159945,160243,160499,160777,161041,161263,161499,
78960,0,0,0,0,4,34,116,299,605,1145,1846,2760,3938,5325,6941,8693,10673,12818,14979,17284,19722,22077,24512,27038,29573,32133,34604,37120,39492,41946,44324,46670,48997,51278,53481,55702,57786,59872,61871,63877,65907,67896,69744,71551,73358,75040,76701,78370,79959,81528,83012,84466,85910,87276,88547,89920,91203,92426,93552,94771,95910,96943,97966,98989,99977,101004,102001,102904,103794,104678,105506,106364,107165,107907,108671,109373,110040,110707,111397,112037,112703,113329,113925,114487,115064,115640,116187,116699,117229,117699,118164,118630,119070,119516,119934,120393,120816,121201,121607,121969,122341,122702,123021,123353,123688,124012,124321,124602,124890,125179,125469,125756,126030,126289,126543,126800,127036,127270,127484,
78970,0,0,0,0,1,14,42,100,205,373,660,1084,1643,2333,3148,4109,5155,6387,7678,9002,10428,11879,13548,15260,16860,18590,20420,22144,23899,25671,27370,29098,30822,32462,34107,35789,37382,38982,40560,42103,43648,45038,46492,47911,49351,50740,52029,53365,54625,55830,57036,58194,59376,60525,61612,62619,63633,64674,65644,66578,67502,68361,69203,70070,70908,71750,72487,73237,73983,74697,75411,76076,76755,77400,77987,78566,79161,79754,80330,80941,81508,82007,82551,83060,83545,84011,84478,84912,85384,85816,86231,86610,87016,87389,87797,88160,88518,88889,89203,89526,89867,90136,90437,90723,91005,91263,91553,91806,92100,92362,92602,92860,93114,93363,93603,93804,94024,94238,94449,
78980,0,0,0,0,0,0,3,14,34,68,160,279,460,692,988,1374,1811,2268,2872,3481,4186,4948,5705,6495,7361,8245,9175,10120,11097,12051,13111,14090,15157,16181,17262,18332,19285,20284,21306,22289,23330,24333,25297,26202,27143,28053,28968,29829,30698,31559,32384,33199,33962,34749,35549,36357,37104,37872,38553,39249,39973,40630,41327,41967,42611,43253,43846,44394,44929,45533,46049,46566,47074,47578,48107,48581,49044,49505,49916,50332,50735,51148,51567,51951,52305,52682,53045,53393,53725,54066,54392,54728,55030,55320,55639,55944,56215,56482,56778,57034,57292,57554,57792,58033,58271,58492,58714,58939,59135,59344,59555,59738,59962,60155,60362,60547,60727,60877,61049,
789983,16273,83635,183190,288537,387643,475418,552908,620404,679097,730858,776155,815862,850885,882352,910491,935824,958785,979363,997975,1015192,1030914,1045387,1058664,1071066,1082380,1092911,1102705,1111796,1120168,1128072,1135452,1142396,1148980,1155211,1160974,1166288,1171259,1176186,1180831,1185057,1189085,1192996,1196540,1199995,1203358,1206538,1209573,1212465,1215199,1217790,1220282,1222667,1224875,1226939,1229028,1230953,1232927,1234748,1236453,1238045,1239623,1241180,1242696,1244032,1245397,1246674,1247910,1249183,1250342,1251477,1252590,1253590,1254606,1255596,1256553,1257393,1258229,1259093,1259935,1260684,1261496,1262184,1262819,1263479,1264140,1264750,1265371,1265925,1266487,1267047,1267578,1268130,1268598,1269071,1269575,1269980,1270398,1270813,1271245,1271661,1272059,1272462,1272824,1273190,1273583,1273924,1274244,1274562,1274877,1275158,1275469,1275776,1276030,1276310,1276548,1276758,1277014,1277266,1277490,
79005,3430,29084,81605,147243,217052,285114,347636,404900,456662,503289,544950,582294,616220,647177,674870,700063,722955,743615,762793,780595,796901,811991,825862,838774,850553,861494,871718,881484,890485,898748,906518,914056,921139,927791,933822,939737,945368,950554,955516,960161,964599,968846,972866,976746,980360,983771,987103,990349,993436,996287,999051,1001567,1004121,1006392,1008573,1010668,1012760,1014693,1016650,1018443,1020261,1021984,1023659,1025231,1026706,1028179,1029558,1030908,1032202,1033456,1034662,1035813,1036896,1037946,1038991,1039936,1040911,1041832,1042731,1043627,1044502,1045342,1046142,1046901,1047638,1048353,1049040,1049687,1050326,1050945,1051561,1052138,1052692,1053190,1053690,1054210,1054688,1055182,1055657,1056094,1056536,1056978,1057404,1057805,1058192,1058546,1058926,1059276,1059592,1059915,1060233,1060526,1060848,1061164,1061436,1061732,1062026,1062284,1062562,
79013,1332,14451,47045,94004,147368,201868,254484,303921,350004,391989,430283,465256,497351,526418,552928,577287,599667,620173,638936,656303,672339,687257,701186,714026,725866,736974,747423,757252,766405,774997,783037,790557,797727,804407,810695,816624,822488,827847,832966,837887,842537,846950,851124,855092,858934,862568,865888,869220,872240,875217,877994,880631,883213,885703,888065,890377,892557,894590,896695,898656,900509,902395,904101,905777,907346,908883,910433,911923,913225,914510,915806,917053,918209,919358,920444,921474,922550,923550,924506,925392,926275,927125,927971,928788,929531,930280,931010,931715,932471,933145,933787,934378,934953,935518,936091,936650,937184,937671,938178,938643,939142,939596,940063,940475,940873,941291,941696,942063,942401,942741,943095,943458,943793,944105,944414,944716,945002,945254,945538,
79021,361,5997,23693,53332,91081,131878,173987,214742,253369,289697,323638,354729,383362,409856,434693,457256,478321,497516,515538,532501,548014,562583,575801,588507,600275,611310,621696,631440,640660,649213,657362,664843,672014,678700,685159,691199,697013,702365,707536,712421,717157,721612,725910,729851,733724,737332,740942,744295,747459,750460,753413,756163,758833,761470,763879,766303,768515,770655,772726,774711,776648,778496,780304,782035,783692,785176,786691,788155,789540,790931,792262,793539,794786,796006,797148,798282,799308,800321,801347,802295,803248,804048,804972,805794,806556,807353,808082,808793,809478,810133,810808,811431,812059,812688,813293,813855,814357,814871,815364,815830,816303,816710,817139,817589,818021,818435,818817,819199,819564,819961,820323,820701,821020,821348,821655,821962,822289,822575,822857,
79030,70,1990,10011,26075,49128,76984,107048,137717,167679,196768,224558,251063,275734,299230,321200,341323,360454,378212,394738,410140,424687,438334,450929,462773,473799,484308,494182,503517,512129,520381,528179,535598,542476,549063,555373,561261,566871,572171,577345,582208,586930,591271,595528,599554,603392,607139,610665,613991,617095,620073,622990,625782,628381,630841,633328,635697,637955,640125,642244,644219,646196,648058,649831,651551,653167,654796,656271,657738,659174,660583,661877,663203,664415,665559,666737,667869,668950,670024,671016,672022,672996,673920,674809,675670,676505,677355,678140,678829,679520,680279,681031,681686,682353,682954,683549,684136,684710,685269,685778,686310,686855,687321,687802,688234,688682,689129,689568,689990,690411,690810,691176,691533,691867,692182,692516,692850,693172,693482,693746,
79040,32,1045,5916,17156,34041,55196,79114,104401,130144,155522,180055,203543,225952,247266,267296,286106,303716,320269,335968,350696,364499,377380,389344,400763,411527,421748,431170,440244,448834,456792,464402,471782,478609,484995,491211,497042,502612,507915,512840,517553,522061,526473,530555,534464,538211,541834,545242,548367,551619,554659,557614,560313,562922,565528,567968,570309,572528,574705,576781,578770,580767,582634,584424,586094,587779,589398,590954,592389,593792,595163,596491,597796,599037,600272,601414,602495,603630,604729,605724,606691,607664,608615,609491,610384,611224,611990,612749,613527,614281,615020,615685,616340,616986,617583,618191,618809,619393,619939,620471,621022,621513,621994,622451,622937,623382,623831,624261,624656,625030,625385,625792,626148,626532,626864,627219,627540,627864,628181,628452,
79050,5,465,3107,10046,21491,37267,55639,75779,96537,117378,138535,158933,178689,197430,215334,232358,248494,263585,277847,291469,304362,316515,327892,338559,348647,358230,367301,375855,384133,391798,399164,406090,412718,418958,424968,430592,435971,441149,446155,450795,455304,459522,463697,467544,471177,474629,477980,481191,484231,487206,490019,492750,495380,497837,500350,502730,504959,507152,509230,511154,513068,514956,516740,518399,520111,521691,523212,524729,526146,527467,528742,530000,531313,532476,533639,534723,535799,536818,537838,538836,539842,540790,541652,542470,543328,544149,544912,545687,546437,547120,547797,548461,549129,549791,550409,550989,551570,552101,552667,553180,553695,554175,554671,555139,555590,556055,556500,556925,557297,557695,558106,558453,558809,559133,559490,559839,560173,560462,560777,
79060,2,164,1439,5442,12708,23392,36728,51952,68564,85441,102676,119790,135924,151912,167493,182516,196897,210309,223155,235426,246925,257974,268610,278539,287857,296796,305305,313375,321014,328159,335075,341600,347838,353848,359497,364778,369893,374976,379674,384159,388555,392606,396504,400221,403773,407284,410592,413719,416725,419625,422306,425014,427545,429992,432316,434656,436864,438984,440921,442919,444872,446671,448396,450083,451729,453325,454852,456358,457747,459076,460398,461637,462895,464056,465195,466225,467229,468309,469304,470273,471239,472190,473127,474000,474834,475658,476432,477205,477896,478586,479252,479907,480498,481122,481735,482348,482897,483451,483974,484494,484972,485448,485903,486396,486848,487259,487667,488077,488489,488857,489223,489578,489940,490282,490593,490925,491222,491573,491858,
79070,1,58,563,2612,6892,13440,22209,33210,45191,58088,71666,85163,98695,111913,124731,137315,149400,161107,172263,183168,193427,203179,212706,221718,230238,238326,246021,253405,260457,267180,273629,279803,285605,291148,296370,301454,306296,310920,315321,319592,323685,327598,331189,334788,338075,341294,344410,347397,350282,352952,355600,358151,360650,363046,365290,367510,369592,371665,373587,375498,377308,379144,380866,382483,384082,385635,387122,388519,389878,391124,392340,393571,394827,396008,397078,398167,399212,400227,401242,402119,403034,403904,404773,405631,406427,407235,408005,408722,409459,410132,410818,411436,412092,412736,413301,413847,414357,414890,415451,416004,416449,416913,417379,417801,418258,418730,419123,419510,419894,420257,420640,421015,421363,421703,422042,422355,422657,422945,423227,
79080,0,22,350,1519,4395,9126,15770,24082,33407,43806,54742,65938,77317,88719,100041,111211,121940,132598,142622,152333,161791,170756,179341,187608,195587,203129,210258,217233,223792,230004,235983,241841,247373,252529,257509,262329,267001,271412,275715,279631,283527,287156,290646,294097,297371,300501,303454,306399,309147,311789,314404,316819,319154,321544,323775,325907,327973,329979,331861,333643,335461,337174,338793,340429,342012,343504,344910,346275,347597,348896,350097,351246,352391,353488,354520,355519,356556,357644,358537,359494,360378,361236,362091,362957,363730,364490,365274,366026,366757,367430,368052,368694,369311,369908,370465,371072,371645,372156,372598,373127,373618,374114,374586,375051,375481,375950,376375,376765,377165,377555,377905,378227,378580,378911,379248,379571,379899,380192,380501,
79090,0,15,144,821,2518,5646,10316,16411,23644,31731,40567,49908,59580,69134,78614,88229,97608,106730,115547,124292,132649,140776,148585,156045,163273,170195,176696,183094,189214,194966,200516,205853,210903,215804,220416,224866,229199,233381,237511,241236,244874,248339,251806,255089,258249,261228,264107,266885,269524,272078,274603,276968,279181,281348,283402,285462,287430,289300,291117,292789,294444,296131,297741,299239,300769,302220,303610,304964,306247,307461,308690,309812,310944,312042,313110,314153,315104,316060,316978,317883,318790,319640,320424,321253,322055,322834,323587,324341,324994,325622,326309,326888,327505,328124,328658,329217,329778,330323,330815,331293,331766,332211,332660,333080,333476,333914,334308,334692,335095,335469,335854,336200,336555,336861,337214,337515,337836,338134,338437,
79100,0,5,73,402,1351,3283,6283,10385,15469,21597,28311,35575,43135,50933,58813,66820,74729,82570,90211,97524,104758,111707,118546,125152,131586,137669,143652,149261,154762,159933,165034,169899,174518,179067,183362,187531,191474,195302,198978,202449,205890,209154,212396,215459,218327,221118,223889,226483,228982,231526,233935,236275,238502,240683,242718,244687,246457,248233,250017,251595,253185,254676,256141,257617,259073,260483,261785,263096,264387,265575,266770,267980,269036,270043,271039,272044,273075,274028,274960,275834,276696,277523,278347,279150,279922,280655,281387,282100,282759,283384,283995,284632,285191,285804,286357,286842,287355,287821,288305,288784,289280,289759,290173,290600,290999,291403,291786,292163,292563,292947,293295,293629,293976,294294,294601,294881,295214,295513,295803,
79110,0,2,29,159,624,1666,3493,6126,9606,13785,18727,24050,29792,35844,41968,48296,54821,61277,67519,73736,79887,86002,91744,97388,102916,108339,113480,118538,123406,127975,132531,136743,140918,144858,148765,152522,156121,159590,162933,166159,169283,172242,175079,177859,180609,183121,185601,188028,190392,192579,194718,196795,198792,200694,202550,204353,206146,207779,209359,210871,212416,213909,215304,216712,218087,219392,220674,221833,223041,224143,225255,226366,227421,228422,229362,230342,231227,232157,232968,233784,234595,235378,236123,236849,237554,238282,238932,239534,240172,240762,241376,242016,242606,243187,243719,244200,244746,245297,245748,246227,246722,247158,247587,248042,248461,248858,249251,249652,249980,250317,250634,250989,251326,251595,251913,252206,252487,252762,253049,
79120,0,0,4,52,249,723,1654,3224,5326,7954,11166,14795,18805,23123,27595,32300,37078,41976,46868,51906,56817,61706,66600,71202,75785,80126,84457,88626,92759,96725,100567,104253,107853,111402,114855,118115,121354,124467,127401,130162,132977,135648,138102,140563,143010,145316,147529,149628,151717,153737,155690,157690,159558,161378,163048,164641,166326,167935,169452,170878,172215,173582,174924,176256,177554,178702,179867,180946,182077,183120,184123,185114,186050,187018,187926,188794,189668,190471,191257,192049,192808,193567,194271,194940,195608,196274,196893,197500,198102,198680,199279,199820,200364,200898,201391,201875,202377,202847,203300,203736,204189,204597,205047,205455,205810,206189,206589,206942,207310,207607,207925,208205,208474,208777,209067,209352,209633,209894,210131,
79130,0,0,0,22,95,325,765,1594,2856,4470,6513,8958,11698,14843,18014,21504,25169,28802,32631,36495,40321,44196,48009,51770,55492,59051,62596,66121,69529,72898,76182,79366,82495,85523,88575,91518,94305,96904,99497,102008,104422,106739,109013,111128,113250,115341,117269,119191,121140,122925,124698,126394,127965,129615,131175,132687,134085,135507,136850,138217,139527,140752,141950,143082,144252,145365,146357,147449,148463,149438,150365,151283,152162,153006,153883,154629,155422,156171,156924,157699,158394,159084,159719,160373,160998,161588,162158,162766,163332,163856,164360,164865,165376,165899,166354,166787,167248,167684,168130,168548,168896,169286,169665,170026,170355,170691,171036,171359,171679,171971,172290,172577,172854,173141,173423,173699,173977,174229,174496,
79140,0,0,0,7,36,116,314,644,1233,2066,3215,4655,6319,8179,10287,12607,15062,17621,20317,23036,25786,28543,31443,34189,36956,39748,42582,45336,48067,50649,53326,55878,58379,60799,63288,65603,67903,70147,72232,74317,76410,78435,80421,82257,84098,85770,87524,89187,90790,92304,93889,95369,96793,98178,99460,100779,102054,103270,104511,105644,106784,107875,108902,109913,110917,111955,112891,113858,114736,115580,116403,117226,118008,118830,119586,120294,121018,121700,122363,123054,123689,124293,124903,125501,126096,126683,127178,127694,128234,128723,129244,129696,130159,130576,131063,131458,131850,132232,132609,132981,133320,133662,134003,134336,134675,135032,135363,135654,135968,136250,136507,136793,137069,137310,137573,137811,138055,138320,138540,
79150,0,0,0,0,4,20,82,199,420,777,1257,1962,2792,3723,4843,6064,7445,8901,10498,12213,13951,15825,17617,19560,21434,23399,25359,27260,29226,31129,33024,34932,36795,38590,40386,42159,43946,45669,47390,49055,50701,52228,53786,55253,56646,58030,59432,60723,62051,63353,64572,65779,66939,68052,69196,70325,71365,72370,73337,74305,75266,76195,77086,77904,78724,79546,80321,81124,81839,82603,83341,84116,84818,85457,86110,86738,87325,87889,88428,88978,89496,90021,90501,91030,91532,92040,92508,92918,93384,93803,94249,94666,95097,95487,95896,96259,96619,96963,97292,97607,97931,98249,98537,98833,99144,99428,99691,99978,100264,100506,100760,100996,101242,101465,101693,101934,102165,102391,102602,
79160,0,0,0,0,0,0,4,34,86,173,321,523,793,1123,1563,2086,2709,3323,4062,4925,5762,6685,7714,8750,9844,10871,11988,13147,14315,15444,16556,17708,18887,20055,21169,22286,23393,24530,25571,26717,27812,28856,29881,30883,31869,32867,33862,34841,35782,36720,37583,38465,39295,40131,40901,41692,42465,43209,43965,44695,45411,46069,46755,47445,48108,48720,49340,49935,50504,51083,51625,52169,52699,53215,53703,54179,54651,55109,55567,55988,56426,56829,57252,57664,58056,58411,58782,59122,59520,59887,60229,60601,60932,61247,61568,61887,62159,62435,62688,62934,63196,63480,63743,63990,64238,64467,64682,64931,65149,65347,65537,65747,65940,66139,66327,66509,66682,66852,67018,
7917387,28930,117116,228397,337642,435679,521122,594572,657757,712710,760555,802422,839301,871726,901007,926830,950009,971085,990088,1007539,1023242,1037838,1051029,1063384,1074545,1085160,1094940,1103942,1112389,1120282,1127761,1134675,1141213,1147274,1152970,1158406,1163467,1168190,1172821,1177094,1181199,1184944,1188526,1192076,1195370,1198430,1201368,1204210,1206905,1209456,1211954,1214248,1216542,1218743,1220791,1222681,1224560,1226292,1228035,1229632,1231112,1232631,1234030,1235451,1236790,1238083,1239355,1240610,1241770,1242860,1243949,1244957,1245970,1246898,1247817,1248705,1249540,1250309,1251100,1251860,1252647,1253343,1254059,1254729,1255396,1256006,1256598,1257162,1257703,1258251,1258781,1259292,1259779,1260251,1260702,1261193,1261624,1262023,1262442,1262845,1263246,1263616,1263978,1264318,1264672,1265007,1265325,1265614,1265879,1266207,1266512,1266805,1267060,1267309,1267557,1267767,1268018,1268238,1268460,1268696,
791833,7705,46807,112050,186549,260704,329548,392099,448009,497994,542752,582319,617822,649962,678498,704569,727773,749361,768753,786829,802899,818115,832001,844988,857017,867945,878264,887966,896939,905336,913250,920557,927587,934223,940302,946034,951506,956758,961730,966292,970748,974924,978897,982657,986236,989654,992865,995900,998824,1001559,1004337,1007000,1009542,1012009,1014305,1016383,1018443,1020397,1022373,1024178,1025903,1027506,1029076,1030694,1032184,1033620,1034968,1036284,1037577,1038799,1039966,1041082,1042156,1043202,1044180,1045216,1046201,1047184,1048044,1048909,1049718,1050551,1051254,1052046,1052799,1053486,1054155,1054782,1055327,1055942,1056555,1057143,1057740,1058269,1058764,1059285,1059803,1060288,1060750,1061225,1061692,1062126,1062539,1062963,1063337,1063698,1064069,1064419,1064737,1065062,1065380,1065691,1065987,1066281,1066565,1066837,1067107,1067398,1067655,1067896,
79192,3300,25287,69329,125280,185198,243279,296769,346501,392242,433575,470530,504230,534998,562745,587931,610858,631725,651171,668844,685177,700238,714166,727308,739441,750763,761299,771016,780076,788596,796665,804227,811378,818071,824362,830212,835947,841338,846464,851283,855785,860089,864176,868067,871735,875309,878758,881993,885008,887943,890745,893446,896035,898485,900728,903055,905204,907198,909187,911116,912963,914623,916304,917916,919430,920935,922436,923824,925178,926472,927694,928869,930055,931203,932306,933321,934287,935296,936265,937178,938067,938868,939676,940493,941259,941986,942755,943477,944161,944843,945460,946014,946582,947149,947659,948212,948723,949195,949682,950189,950691,951147,951564,951948,952360,952750,953141,953499,953846,954188,954504,954837,955164,955488,955802,956112,956378,956650,956924,957178,
79200,1090,11825,38015,75964,120292,165960,210535,252753,292393,329065,362651,393356,421508,447381,471241,493232,513278,531864,548819,564669,579291,593115,605887,617717,628908,639228,649063,658093,666617,674619,682398,689530,696353,702662,708773,714475,719882,724960,729820,734414,738705,743009,746987,750719,754369,757847,761089,764221,767144,769988,772760,775409,778036,780390,782672,784998,787066,789013,790956,792861,794617,796359,798041,799646,801202,802648,804057,805390,806743,808051,809314,810521,811686,812789,813859,814865,815892,816824,817735,818668,819526,820331,821151,821941,822682,823433,824135,824805,825466,826107,826694,827305,827904,828502,829069,829597,830112,830588,831068,831549,832035,832511,832933,833389,833771,834156,834505,834893,835270,835616,835966,836287,836601,836918,837215,837503,837801,838102,838388,
79210,264,4254,17629,40260,69506,101624,135387,168703,200647,231100,259864,286448,311424,334728,356123,376011,394747,412061,428056,442897,456933,469787,481929,493291,504109,514104,523655,532558,540842,548780,556252,563273,569971,576369,582307,588048,593482,598568,603381,607943,612471,616793,620682,624535,628176,631581,634900,638063,641075,644005,646830,649562,652112,654558,656779,659027,661238,663329,665295,667202,669045,670790,672472,674094,675769,677248,678728,680118,681552,682861,684202,685411,686596,687768,688850,689919,690909,691927,692924,693843,694711,695604,696439,697241,698002,698754,699479,700176,700845,701526,702152,702799,703394,704009,704604,705159,705663,706159,706651,707113,707589,708019,708457,708881,709281,709683,710090,710470,710855,711203,711552,711903,712252,712546,712880,713219,713527,713775,714106,
79220,101,2401,10779,26952,49211,75107,102775,130999,158798,185468,211155,235428,257908,279102,298922,317885,335409,351689,366949,381177,394639,407185,418815,429896,440178,449936,459092,467961,476118,483812,490985,497825,504377,510689,516477,522103,527436,532438,537250,541962,546242,550498,554503,558217,561927,565388,568625,571811,574751,577631,580408,583044,585659,588065,590380,592674,594818,596872,598891,600798,602686,604499,606145,607842,609426,611007,612510,613901,615238,616503,617795,618970,620176,621261,622433,623498,624551,625553,626560,627554,628494,629417,630299,631161,631933,632743,633459,634158,634865,635499,636175,636807,637423,638045,638621,639179,639723,640237,640728,641214,641688,642150,642580,642984,643390,643779,644208,644617,645021,645351,645707,646055,646364,646692,647011,647348,647635,647939,648211,
79230,49,1134,6237,17161,33052,52804,75076,98389,121809,144498,166919,188239,208679,227905,245987,262944,279022,294199,308549,321860,334523,346287,357460,368009,377984,387285,396171,404403,412193,419601,426678,433372,439606,445679,451387,456890,461937,466929,471717,476249,480516,484673,488517,492175,495740,499053,502193,505321,508338,511215,513996,516670,519161,521634,524067,526189,528349,530409,532458,534385,536260,538009,539671,541347,542983,544489,545971,547427,548778,550133,551376,552616,553857,554973,556047,557147,558179,559142,560128,561051,562000,562858,563710,564501,565319,566083,566834,567570,568262,568922,569635,570279,570886,571476,572034,572581,573116,573620,574166,574692,575146,575624,576090,576505,576943,577412,577837,578207,578599,578966,579343,579694,580007,580339,580656,580974,581266,581546,581816,
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79420,37,1044,5567,14912,28978,46151,65540,86067,106562,126959,146783,165941,183949,201235,217619,233038,247604,261282,274383,286678,298144,309157,319443,329138,338385,346975,355057,362815,370151,377200,383662,389923,395888,401644,407067,412135,416935,421581,425999,430162,434127,437878,441532,445045,448439,451664,454661,457587,460432,463173,465890,468319,470681,473015,475272,477322,479378,481352,483199,485004,486834,488570,490162,491773,493250,494761,496207,497565,498846,500091,501341,502482,503620,504696,505771,506803,507765,508732,509691,510599,511458,512289,513096,513881,514672,515392,516133,516800,517520,518186,518827,519427,520060,520619,521188,521759,522314,522806,523295,523759,524247,524706,525146,525572,525983,526389,526823,527176,527536,527917,528273,528616,528947,529270,529581,529899,530196,530459,530744,
79430,5,371,2488,7817,16525,28459,42366,57746,73885,90412,106732,122583,137816,152606,166621,180181,193021,205164,216841,227860,238504,248426,257860,266774,275220,283193,290774,297991,304958,311449,317648,323634,329193,334533,339720,344603,349275,353648,357765,361841,365663,369244,372779,376164,379402,382575,385659,388459,391200,393796,396295,398684,401045,403277,405468,407477,409459,411329,413178,414922,416572,418242,419826,421402,422909,424392,425787,427149,428434,429660,430868,432069,433186,434276,435306,436341,437337,438272,439211,440086,440934,441735,442555,443339,444110,444908,445648,446362,447114,447737,448357,449016,449588,450218,450763,451312,451824,452347,452832,453300,453748,454218,454673,455090,455483,455900,456318,456718,457089,457464,457845,458171,458520,458817,459126,459454,459760,460033,460314,
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795623,4325,27690,69431,120177,172969,223856,271274,315093,354778,390582,422758,452186,479161,503577,525962,546686,565362,582481,598380,612820,626409,639063,650950,661915,671914,681506,690683,698979,706686,714020,720857,727679,733790,739431,744866,750024,755020,759763,764242,768595,772532,776327,779975,783461,786851,789993,793032,795874,798603,801184,803720,806155,808471,810684,812888,814938,816822,818688,820441,822160,823786,825393,826938,828457,829829,831200,832586,833935,835245,836457,837603,838685,839757,840757,841711,842684,843633,844521,845334,846163,846948,847706,848457,849188,849909,850564,851230,851900,852513,853103,853700,854272,854826,855334,855829,856324,856805,857292,857737,858166,858621,859055,859440,859855,860208,860551,860912,861288,861618,861961,862260,862610,862880,863163,863443,863709,863974,864232,864514,
79571,1315,12257,36393,69927,108295,147416,185693,221903,255648,286851,315595,342003,366372,388904,409714,428970,446579,463011,477972,492216,505325,517366,528864,539660,549724,559016,567663,575824,583607,590961,597988,604492,610578,616516,621959,627163,632233,636938,641436,645677,649634,653633,657393,660930,664247,667463,670619,673501,676248,678924,681543,683936,686239,688424,690531,692624,694644,696548,698402,700193,701901,703579,705175,706679,708145,709535,710963,712372,713699,714918,716056,717218,718288,719317,720341,721349,722329,723245,724208,725059,725876,726716,727466,728225,728981,729739,730401,731103,731795,732448,733065,733622,734165,734712,735217,735700,736148,736663,737069,737541,737960,738391,738798,739181,739551,739967,740346,740726,741076,741442,741778,742104,742434,742748,743030,743309,743568,743870,744110,
79581,622,7148,24166,50000,80942,113568,146581,178679,209408,237900,264590,289020,311837,332862,352662,370976,387860,403903,418721,432225,444971,456788,467714,478234,488078,497291,505816,513828,521506,528755,535686,542213,548252,554104,559652,564937,569828,574493,578941,583171,587125,590939,594536,598076,601436,604621,607724,610672,613433,616107,618745,621311,623666,625956,628074,630115,632054,634005,635833,637611,639298,640882,642496,644067,645641,647044,648478,649818,651083,652281,653486,654630,655723,656757,657738,658728,659692,660599,661529,662421,663253,664091,664876,665649,666410,667102,667839,668490,669157,669766,670350,670947,671492,672042,672581,673114,673650,674128,674576,675045,675487,675966,676381,676765,677142,677487,677833,678184,678531,678908,679247,679577,679890,680193,680458,680776,681081,681384,681677,
79590,257,3923,15117,33642,57339,83902,111209,138715,164985,190410,214398,236809,257724,277511,295606,312740,328669,343462,357242,370341,382541,393950,404616,414716,424093,432955,441265,449158,456635,463564,470190,476660,482756,488436,493869,499007,503941,508591,512992,517144,521278,525178,528851,532298,535537,538761,541799,544747,547463,550132,552653,555130,557529,559861,562054,564200,566144,568026,569910,571727,573462,575103,576743,578266,579751,581186,582632,583959,585242,586503,587747,588928,590109,591168,592220,593230,594204,595131,596019,596933,597785,598675,599484,600282,600984,601682,602404,603099,603746,604406,605049,605645,606236,606770,607320,607872,608404,608852,609307,609767,610230,610668,611038,611405,611827,612232,612613,612982,613350,613689,614005,614323,614657,614942,615235,615526,615799,616089,616368,
79600,93,1936,8488,20831,37851,57847,79687,101889,124036,145851,166668,186507,205078,222442,239212,254836,269478,283164,296095,308253,319542,330352,340262,349811,358773,367317,375386,383089,390381,397204,403682,409745,415648,421257,426493,431448,436216,440626,445010,449130,452966,456785,460327,463781,467029,470107,473107,475987,478741,481422,483867,486243,488535,490783,492874,494939,496913,498874,500751,502532,504243,505870,507425,508987,510424,511874,513193,514511,515796,517075,518294,519483,520586,521622,522649,523644,524607,525581,526505,527378,528237,529072,529835,530603,531342,532060,532738,533431,534093,534703,535336,535973,536556,537091,537598,538103,538639,539149,539630,540082,540513,540921,541355,541770,542164,542563,542956,543346,543710,544071,544392,544715,545049,545363,545679,546002,546285,546585,546825,
79610,28,774,4136,11508,22725,37110,53178,70680,88554,106096,123401,140075,156141,171548,186347,199942,212998,225339,237155,248177,258654,268635,278067,286885,295097,303234,310766,317830,324795,331253,337270,343066,348651,353932,358841,363582,368182,372582,376767,380720,384501,388066,391489,394734,397907,401027,403913,406765,409399,411941,414363,416662,418979,421168,423354,425371,427342,429199,431048,432746,434380,435955,437578,439087,440517,441972,443286,444597,445800,447044,448258,449439,450496,451573,452606,453617,454572,455490,456401,457243,458107,458881,459703,460476,461224,461932,462655,463315,464019,464637,465246,465842,466435,466987,467521,468073,468589,469118,469601,470068,470534,470940,471388,471774,472216,472602,472975,473367,473714,474059,474401,474716,475049,475345,475624,475929,476228,476516,476787,
79620,12,426,2518,7662,15779,26811,39889,54099,69173,84169,99325,114158,128488,142018,155280,167923,179794,191280,202063,212286,222202,231537,240254,248645,256558,264007,271282,278129,284700,290918,296708,302285,307643,312657,317549,322098,326494,330677,334717,338413,342045,345561,348958,352103,355216,358199,361061,363744,366353,368925,371397,373623,375849,378017,380013,381933,383909,385706,387472,389190,390845,392503,394060,395527,396938,398341,399618,400919,402193,403334,404455,405478,406612,407683,408672,409671,410658,411557,412412,413248,414062,414898,415652,416442,417183,417949,418606,419253,419919,420579,421172,421760,422296,422849,423364,423905,424431,424937,425404,425879,426356,426781,427209,427621,427979,428366,428761,429156,429501,429845,430188,430530,430848,431166,431464,431759,432050,432312,432565,
79630,5,181,1348,4673,10359,18236,28164,39377,51488,64072,76877,89643,101973,113902,125541,136742,147651,157841,167603,177171,186245,194798,203043,210848,218226,225413,232325,238696,244744,250617,256119,261417,266486,271288,275845,280149,284397,288310,292077,295846,299279,302668,305852,308981,311988,314914,317638,320237,322741,325181,327524,329762,331925,334036,336018,338030,339887,341633,343411,345099,346662,348231,349644,351134,352529,353867,355169,356461,357660,358793,359916,361036,362163,363204,364176,365112,366049,366962,367827,368681,369462,370247,370987,371719,372469,373234,373934,374565,375219,375813,376442,377050,377581,378108,378632,379136,379688,380144,380604,381080,381517,381951,382362,382758,383133,383540,383949,384309,384684,385021,385382,385704,386065,386375,386669,386916,387203,387498,387764,
79640,1,77,685,2587,6186,11539,18844,27485,36924,47025,57425,67689,78037,88266,98298,107986,117465,126593,135430,143900,151951,159784,167143,174235,181117,187633,193978,199855,205492,210970,216185,221030,225778,230296,234602,238830,242778,246546,250260,253687,256976,260257,263370,266335,269240,271919,274568,277077,279452,281760,283942,286106,288244,290171,292084,293964,295762,297557,299232,300882,302395,303913,305377,306760,308072,309391,310736,311971,313147,314299,315378,316420,317458,318493,319447,320374,321253,322119,322973,323789,324558,325332,326063,326797,327525,328242,328952,329635,330264,330889,331506,332091,332641,333235,333781,334311,334818,335294,335769,336181,336578,336999,337403,337792,338175,338539,338926,339263,339598,339942,340280,340597,340883,341169,341439,341717,341986,342290,342558,
79650,2,28,274,1232,3260,6674,11325,17339,24211,31868,39706,48042,56365,64816,73232,81467,89366,97080,104650,111991,118974,125663,132330,138473,144591,150414,155931,161350,166574,171568,176299,180828,185159,189288,193231,197051,200622,204176,207604,210799,213932,216937,219815,222622,225232,227756,230196,232667,234967,237206,239345,241385,243382,245218,246996,248767,250508,252123,253765,255256,256743,258226,259674,261012,262271,263519,264699,265908,267031,268094,269180,270172,271202,272228,273161,273998,274862,275652,276480,277304,278084,278859,279536,280244,280915,281585,282245,282849,283512,284104,284648,285268,285800,286315,286863,287350,287798,288223,288704,289129,289542,289967,290382,290767,291174,291551,291897,292257,292581,292940,293286,293615,293920,294215,294523,294788,295061,295328,295597,
79660,0,6,78,497,1513,3405,6233,10054,14664,19916,25637,31644,37997,44474,50940,57423,63847,70280,76514,82596,88406,94171,99723,105121,110399,115439,120266,124875,129406,133717,138012,142072,145860,149538,152996,156397,159679,162902,165857,168773,171614,174397,176983,179574,182078,184367,186651,188840,190813,192885,194783,196724,198514,200196,201899,203510,205110,206684,208156,209598,211014,212369,213640,214887,216139,217301,218452,219600,220675,221688,222651,223604,224544,225461,226300,227169,227983,228792,229560,230320,231037,231756,232437,233134,233837,234468,235093,235671,236257,236799,237350,237946,238475,238972,239444,239912,240399,240870,241292,241718,242096,242507,242890,243260,243610,243980,244329,244669,244992,245350,245677,245959,246240,246536,246805,247074,247322,247584,247864,
79670,0,0,23,158,642,1650,3268,5546,8413,11922,15985,20297,24781,29544,34485,39421,44507,49567,54611,59537,64280,69095,73714,78304,82682,86908,90973,95019,98876,102625,106313,109795,113160,116488,119572,122707,125625,128439,131184,133727,136251,138836,141242,143575,145838,147974,150048,152041,153925,155774,157570,159317,161072,162678,164183,165705,167127,168563,169938,171266,172526,173804,175031,176197,177350,178457,179498,180504,181548,182515,183403,184300,185198,186044,186869,187641,188433,189159,189895,190635,191314,191943,192580,193192,193810,194409,195024,195592,196109,196651,197159,197642,198136,198585,199078,199526,199969,200357,200779,201210,201624,202028,202405,202776,203134,203451,203765,204095,204410,204699,204985,205295,205570,205839,206107,206348,206592,206814,207046,
79680,0,1,6,64,230,663,1415,2562,4149,6166,8583,11284,14392,17595,21063,24529,28211,31962,35675,39398,43113,46800,50455,53977,57509,61029,64384,67628,70852,74030,76984,80010,82852,85594,88247,90834,93286,95741,98089,100413,102617,104793,106885,108913,110897,112780,114609,116353,118018,119664,121271,122844,124352,125831,127232,128531,129844,131118,132393,133529,134613,135714,136784,137815,138818,139797,140733,141701,142599,143460,144321,145149,146017,146794,147522,148258,148984,149675,150319,150983,151627,152208,152795,153359,153892,154419,154946,155497,156028,156505,156999,157438,157877,158282,158723,159101,159517,159900,160276,160614,160962,161326,161666,161965,162301,162629,162961,163248,163553,163848,164093,164356,164625,164880,165139,165368,165597,165847,166084,
79690,0,0,1,6,50,155,374,805,1503,2476,3664,5012,6711,8537,10563,12795,15038,17386,19947,22398,25067,27547,30121,32653,35184,37604,40051,42484,44893,47336,49640,51949,54166,56320,58432,60489,62472,64353,66251,68124,69979,71720,73308,74929,76488,78015,79540,81000,82447,83871,85177,86573,87866,89031,90209,91335,92405,93463,94533,95540,96558,97511,98398,99309,100179,101067,101908,102693,103544,104279,104985,105730,106435,107143,107804,108479,109089,109703,110305,110884,111415,111987,112484,113015,113542,114035,114569,115065,115510,115954,116363,116811,117181,117587,117960,118339,118718,119057,119376,119680,119993,120306,120577,120877,121173,121438,121747,122022,122306,122588,122828,123071,123304,123524,123767,123995,124232,124450,124656,
79700,0,0,0,0,7,29,91,204,384,663,1080,1575,2211,2981,3864,4864,5930,7180,8465,9747,11121,12536,13984,15416,16968,18447,19968,21482,22992,24541,26015,27510,29025,30509,31900,33254,34632,35965,37271,38562,39839,41043,42321,43511,44618,45756,46843,47917,49003,50018,51016,51995,52927,53838,54734,55561,56416,57267,58016,58795,59638,60414,61122,61839,62519,63221,63885,64527,65137,65725,66313,66905,67472,68057,68598,69081,69604,70098,70559,71018,71459,71912,72352,72750,73192,73642,74048,74438,74835,75217,75564,75906,76240,76569,76900,77182,77465,77752,78038,78337,78628,78866,79123,79355,79576,79790,80036,80269,80500,80715,80931,81131,81346,81542,81746,81946,82139,82295,82489,
79710,161,6102,33891,88570,162481,243138,323516,399246,469196,531601,587732,637972,682790,722406,757997,790065,818367,843956,866909,887791,906615,923880,939396,953768,966925,979200,990466,1000789,1010279,1019215,1027463,1035083,1042240,1048921,1055062,1060794,1066196,1071365,1076076,1080516,1084661,1088647,1092285,1095723,1098991,1102023,1105019,1107770,1110471,1112939,1115349,1117597,1119727,1121734,1123628,1125430,1127113,1128743,1130309,1131862,1133329,1134692,1136012,1137309,1138475,1139604,1140720,1141754,1142768,1143724,1144575,1145481,1146308,1147112,1147884,1148615,1149345,1150054,1150737,1151418,1152042,1152588,1153190,1153779,1154323,1154819,1155302,1155749,1156149,1156587,1156993,1157387,1157789,1158147,1158486,1158791,1159079,1159383,1159715,1159959,1160243,1160511,1160768,1161008,1161238,1161483,1161729,1161927,1162177,1162380,1162586,1162745,1162929,1163118,1163318,1163480,1163648,1163793,1163933,
79720,11,1050,8913,30154,65416,110198,160089,211801,261963,309906,354746,396192,433811,468212,500167,528999,555348,579341,601204,621494,639789,656675,672254,686533,700015,712275,723503,733979,743748,752702,761305,769279,776683,783612,790113,796166,801877,807061,812124,816812,821254,825452,829435,833188,836633,839991,843198,846273,849141,851735,854336,856784,859214,861417,863558,865589,867567,869380,871148,872765,874404,875900,877278,878634,879955,881249,882398,883578,884704,885721,886719,887744,888678,889573,890378,891208,891994,892751,893473,894195,894868,895534,896178,896749,897345,897878,898387,898895,899393,899870,900313,900742,901162,901551,901960,902361,902715,903060,903405,903734,904061,904370,904682,904976,905252,905517,905741,905984,906232,906443,906684,906892,907101,907279,907462,907649,907843,908020,908175,
79730,1,386,4084,15546,37005,67415,103419,142268,182130,221603,258887,294108,326967,357706,386383,412692,436882,459111,479548,498286,515835,531873,546833,560648,573620,585606,596697,607111,616570,625434,633977,641878,649209,655979,662415,668289,674032,679429,684526,689335,693736,697988,702030,705801,709356,712768,716015,719116,722101,724819,727372,729811,732164,734399,736550,738645,740631,742424,744172,745867,747528,749136,750598,751980,753369,754698,755914,757095,758243,759292,760288,761357,762263,763167,764070,764904,765758,766550,767298,768002,768744,769399,770060,770641,771207,771803,772353,772901,773422,773913,774372,774803,775283,775696,776088,776450,776815,777169,777506,777840,778138,778398,778697,778951,779240,779472,779753,780029,780265,780497,780729,780941,781156,781383,781595,781813,782017,782186,782354,
79740,0,81,1395,6774,18606,37147,61154,88487,117826,147696,177445,206049,233534,259624,283737,306509,327981,347907,366476,383726,399760,414716,428404,441507,453221,464458,474939,484759,493743,502367,510510,518125,525172,531825,538068,543943,549532,554740,559790,564489,568959,573175,577130,580888,584467,587776,590841,593786,596669,599341,601911,604374,606759,608993,611143,613239,615239,617067,618808,620472,622148,623674,625168,626537,627902,629189,630452,631633,632759,633889,634939,635914,636851,637766,638665,639513,640351,641125,641887,642628,643340,644051,644728,645335,645950,646576,647153,647708,648216,648750,649209,649672,650122,650558,650980,651362,651762,652137,652503,652852,653144,653478,653805,654105,654393,654669,654924,655198,655430,655702,655909,656144,656376,656606,656806,657003,657204,657382,657556,
79750,0,21,427,2596,8184,18139,32136,49635,69320,90611,112452,134082,155437,176061,195753,214330,231992,248838,264799,279640,293794,307037,319210,330736,341640,351780,361400,370320,378690,386625,394167,401357,408096,414246,420133,425600,430864,435753,440503,444976,449263,453280,457073,460614,463947,467206,470219,473173,475970,478572,481063,483523,485881,488128,490209,492193,494217,496058,497790,499517,501118,502690,504186,505597,506873,508184,509488,510721,511799,512864,513906,514847,515776,516732,517636,518494,519285,520063,520809,521519,522254,522961,523621,524333,524954,525573,526131,526661,527149,527655,528119,528622,529050,529454,529901,530296,530696,531083,531478,531812,532142,532492,532808,533136,533397,533681,533980,534243,534486,534752,535008,535256,535490,535728,535953,536148,536337,536528,536695,
79760,0,12,233,1384,4898,11699,22033,35116,50693,67653,85448,103712,121869,139980,156924,173433,189497,204462,218810,232352,245092,257456,268533,279303,289412,299011,307884,316288,324434,331976,339138,345731,352086,358109,363847,369165,374171,378977,383477,387817,391928,395840,399456,402921,406234,409383,412360,415294,418020,420582,423025,425379,427644,429817,431851,433774,435608,437345,439114,440750,442331,443822,445322,446725,448026,449372,450595,451717,452884,454013,455063,456061,456995,457903,458807,459653,460506,461339,462030,462805,463535,464216,464823,465475,466121,466713,467291,467884,468378,468870,469342,469794,470256,470633,471048,471435,471861,472252,472622,472971,473310,473641,473967,474261,474542,474819,475096,475359,475601,475846,476082,476301,476529,476775,477005,477222,477407,477609,477775,
79770,0,2,88,725,2801,7105,14208,23798,35413,48625,62851,77599,92537,107705,122472,137012,150926,164254,176968,189000,200563,211460,221893,231847,241205,250088,258496,266324,273729,280604,287224,293485,299356,305128,310441,315519,320239,324924,329236,333318,337088,340808,344344,347683,350846,353826,356713,359473,362132,364664,366943,369324,371499,373603,375604,377499,379352,381036,382676,384306,385859,387315,388705,390016,391276,392463,393671,394842,395981,397006,397992,399009,399931,400821,401701,402570,403359,404112,404844,405560,406252,406920,407548,408166,408752,409289,409857,410436,410958,411497,412007,412497,412912,413352,413792,414194,414586,414986,415305,415633,415962,416267,416575,416897,417188,417480,417743,418015,418265,418520,418760,419007,419233,419462,419653,419839,420057,420253,420425,
79780,0,0,33,338,1437,4006,8479,14964,23223,32930,43713,55305,67169,79348,91496,103507,115192,126719,137746,148336,158264,167979,177221,185933,194190,202120,209798,216907,223769,230156,236212,242106,247493,252692,257798,262633,267123,271507,275568,279454,283056,286570,289885,293053,296154,299092,301824,304434,306974,309392,311647,313847,315909,317898,319825,321620,323385,325109,326703,328292,329747,331186,332508,333803,335065,336219,337354,338432,339542,340526,341543,342428,343321,344124,344931,345736,346511,347241,347954,348659,349335,349980,350601,351236,351808,352342,352898,353418,353866,354332,354805,355285,355720,356114,356483,356853,357228,357602,357945,358306,358642,358948,359243,359551,359821,360102,360365,360633,360883,361108,361353,361561,361788,361963,362174,362355,362537,362722,362900,
79790,0,0,7,125,670,2014,4700,8722,14123,21007,28692,37100,46198,55600,65132,74857,84339,93685,102807,111798,120485,128726,136749,144497,151739,158701,165312,171583,177593,183464,188971,194064,199078,203863,208365,212609,216717,220630,224368,227914,231306,234493,237592,240505,243429,246085,248660,251092,253393,255659,257758,259866,261827,263761,265592,267282,268990,270515,271973,273479,274844,276178,277470,278701,279910,281124,282218,283280,284297,285304,286196,287115,287998,288865,289669,290412,291148,291833,292541,293200,293850,294506,295099,295631,296161,296713,297199,297717,298181,298639,299086,299507,299923,300332,300724,301117,301492,301820,302173,302493,302825,303135,303445,303748,304021,304299,304530,304806,305034,305265,305496,305721,305946,306133,306325,306497,306683,306844,307033,
79800,0,0,6,68,374,1265,3049,5865,9912,15274,21332,28285,35782,43669,51860,60089,68337,76517,84480,92324,99807,107300,114535,121431,128031,134278,140335,146186,151843,157180,162227,167015,171419,175864,180108,184067,187902,191505,194975,198336,201573,204610,207560,210297,212979,215507,217946,220253,222482,224631,226686,228622,230429,232222,233849,235477,237084,238613,240066,241516,242842,244119,245320,246484,247662,248750,249793,250858,251865,252748,253645,254459,255333,256200,256955,257721,258475,259208,259906,260522,261106,261703,262295,262889,263442,263972,264482,264957,265418,265863,266302,266731,267133,267495,267873,268256,268578,268931,269287,269580,269862,270170,270488,270772,271030,271299,271577,271830,272064,272311,272542,272760,272963,273159,273349,273543,273720,273891,274073,
79810,0,0,3,41,218,764,1945,3915,6784,10589,15241,20460,26397,32681,39208,45918,52991,59961,66745,73553,80162,86732,93025,99091,105061,110701,116182,121394,126332,131185,135849,140350,144578,148696,152666,156363,159851,163292,166518,169758,172739,175511,178277,180864,183346,185710,188011,190271,192367,194364,196342,198138,199826,201634,203250,204794,206270,207739,209139,210424,211669,212925,214096,215216,216308,217415,218456,219456,220463,221332,222244,223053,223837,224609,225380,226114,226789,227454,228079,228796,229442,229994,230564,231087,231597,232084,232589,233059,233516,233947,234332,234717,235135,235499,235891,236253,236601,236967,237274,237567,237893,238192,238467,238733,239003,239266,239518,239792,240036,240259,240493,240706,240900,241103,241300,241482,241653,241835,241982,
79820,0,0,0,12,104,421,1080,2295,4239,6871,10231,14206,18709,23700,28921,34363,40118,45812,51607,57375,62887,68381,73915,79100,84293,89309,94234,98760,103354,107582,111736,115667,119526,123204,126698,130086,133321,136461,139456,142285,145041,147635,150117,152500,154791,157031,159047,161119,163079,164871,166658,168358,170074,171667,173211,174685,176083,177441,178773,180032,181224,182368,183531,184580,185633,186641,187548,188502,189379,190139,190957,191735,192509,193218,193968,194626,195292,195967,196565,197153,197704,198260,198832,199347,199865,200344,200822,201266,201664,202058,202444,202838,203237,203575,203930,204261,204593,204896,205208,205506,205786,206071,206326,206591,206807,207079,207303,207536,207761,207967,208204,208425,208622,208807,208992,209176,209361,209557,209706,
79830,0,0,0,5,36,189,568,1281,2413,4163,6368,9253,12549,16217,20202,24390,28789,33347,37861,42391,47068,51631,56105,60452,64758,68921,72976,77032,80868,84564,88248,91656,95077,98386,101496,104422,107338,110246,112896,115460,117913,120248,122535,124655,126749,128776,130742,132563,134395,136186,137796,139369,140936,142391,143779,145201,146459,147715,148949,150148,151306,152357,153367,154397,155356,156280,157163,158063,158958,159761,160568,161320,162088,162766,163425,164069,164704,165308,165849,166415,166918,167497,168006,168483,168950,169409,169857,170295,170709,171126,171506,171860,172221,172563,172913,173257,173599,173874,174176,174482,174768,175019,175259,175498,175744,175941,176177,176379,176591,176790,176996,177191,177390,177559,177747,177924,178086,178249,178419,
79840,0,0,0,2,14,71,246,619,1268,2304,3681,5463,7604,10113,12844,15881,19047,22390,25740,29373,32913,36571,40228,43831,47357,50809,54095,57378,60642,63783,66870,69822,72634,75500,78114,80712,83197,85588,87942,90099,92246,94357,96411,98282,100095,101886,103572,105225,106753,108333,109800,111237,112580,113940,115186,116425,117584,118735,119868,120904,121951,122900,123801,124675,125549,126428,127224,128029,128791,129537,130222,130912,131594,132200,132831,133402,133962,134494,135042,135586,136130,136593,137059,137507,137970,138380,138820,139202,139617,139987,140341,140694,141043,141385,141713,142003,142284,142579,142842,143093,143331,143606,143866,144106,144357,144581,144784,145009,145221,145415,145606,145783,145965,146128,146281,146419,146610,146776,146903,
79850,0,0,0,1,7,34,118,303,697,1300,2100,3221,4723,6397,8347,10442,12789,15264,17906,20508,23207,25982,28821,31632,34357,37057,39780,42372,45064,47560,50043,52473,54917,57334,59515,61692,63764,65825,67879,69881,71751,73516,75296,77000,78654,80231,81739,83213,84699,86006,87308,88579,89806,90914,92115,93200,94273,95273,96174,97153,98103,98918,99793,100680,101466,102210,102928,103671,104324,104988,105670,106279,106913,107494,108038,108570,109109,109613,110099,110555,110995,111422,111846,112271,112692,113081,113484,113849,114228,114542,114840,115172,115471,115773,116095,116385,116651,116911,117127,117390,117637,117901,118143,118371,118561,118767,118970,119155,119334,119519,119681,119860,120016,120185,120315,120461,120614,120772,120897,
79860,0,0,0,0,0,7,42,114,283,584,1033,1643,2498,3483,4607,5975,7540,9170,10988,12974,14898,16850,18827,20920,23019,25146,27233,29286,31335,33434,35402,37396,39324,41156,42998,44826,46589,48310,49902,51455,52977,54511,55994,57435,58777,60074,61363,62604,63807,64965,66115,67173,68238,69250,70231,71194,72094,72995,73868,74737,75536,76293,77030,77763,78430,79122,79797,80428,80990,81598,82170,82712,83235,83757,84272,84749,85208,85646,86108,86535,86930,87336,87726,88126,88502,88872,89235,89542,89893,90176,90477,90754,91052,91318,91587,91823,92059,92299,92534,92750,92970,93156,93347,93528,93717,93917,94105,94287,94461,94627,94768,94916,95059,95202,95337,95467,95611,95734,95855,
79870,0,0,0,0,0,5,13,36,88,211,391,658,1043,1553,2174,2886,3722,4676,5679,6892,8171,9442,10807,12135,13509,14951,16406,17879,19403,20877,22323,23780,25220,26589,27923,29238,30528,31833,33122,34337,35549,36732,37846,38905,39990,41020,42027,42999,43973,44950,45927,46815,47672,48481,49272,50064,50865,51553,52291,53024,53735,54364,54947,55572,56145,56696,57231,57783,58336,58834,59304,59784,60217,60634,61074,61451,61846,62252,62644,63004,63373,63675,64018,64330,64622,64915,65261,65542,65815,66067,66338,66585,66825,67083,67330,67540,67762,67952,68154,68360,68526,68719,68878,69061,69229,69377,69529,69699,69834,69971,70107,70252,70386,70511,70635,70767,70879,70993,71088,
79880,0,0,0,0,0,1,2,5,17,37,77,154,299,483,708,986,1333,1762,2243,2797,3369,4039,4741,5458,6247,7057,7894,8706,9534,10435,11314,12173,13022,13964,14850,15638,16467,17368,18239,19085,19868,20693,21427,22132,22935,23610,24372,25115,25800,26475,27113,27764,28420,29025,29599,30166,30711,31246,31781,32310,32798,33312,33816,34243,34697,35082,35492,35880,36287,36682,37064,37427,37771,38101,38432,38781,39102,39384,39665,39945,40199,40446,40725,40985,41209,41460,41703,41910,42146,42355,42567,42760,42943,43114,43296,43484,43647,43823,43993,44162,44314,44457,44598,44738,44869,44999,45133,45246,45373,45498,45609,45727,45845,45931,46026,46119,46208,46313,46412,
79893,3034,31985,97198,182229,271836,357120,435153,504977,566534,619970,667677,709505,746402,779535,808803,835319,858930,880140,899592,917117,932816,947284,960552,972719,983956,994041,1003686,1012209,1020285,1027871,1034916,1041540,1047652,1053320,1058654,1063713,1068288,1072739,1076867,1080798,1084552,1088099,1091251,1094427,1097319,1099962,1102565,1104963,1107308,1109491,1111578,1113629,1115499,1117287,1119065,1120727,1122324,1123799,1125213,1126509,1127872,1129030,1130210,1131280,1132330,1133333,1134344,1135272,1136214,1137071,1137893,1138657,1139422,1140159,1140809,1141448,1142069,1142683,1143278,1143822,1144401,1144941,1145452,1145927,1146372,1146825,1147236,1147647,1148071,1148453,1148825,1149194,1149507,1149817,1150121,1150427,1150716,1151020,1151282,1151564,1151817,1152066,1152321,1152550,1152762,1152984,1153203,1153385,1153566,1153742,1153948,1154148,1154325,1154494,1154659,1154792,1154960,1155103,1155271,
79901,469,8882,35940,80656,135459,193880,250778,304582,354455,400302,441912,479399,513027,543315,570859,595810,618516,639117,657925,675185,690976,705465,718738,731069,742475,752865,762665,771767,779906,787853,795280,802048,808474,814480,820200,825483,830618,835272,839606,843790,847720,851458,854913,858238,861492,864475,867282,869884,872415,874852,877100,879212,881281,883225,885025,886875,888546,890071,891628,893047,894423,895741,897040,898276,899398,900442,901560,902543,903561,904500,905419,906263,907086,907898,908697,909413,910139,910872,911565,912202,912820,913403,913919,914462,914993,915516,915993,916482,916936,917378,917796,918189,918602,919003,919375,919710,920002,920311,920626,920916,921204,921481,921726,921977,922228,922462,922699,922921,923118,923321,923522,923711,923930,924127,924308,924489,924637,924799,924943,
79910,133,3920,19177,48081,86689,130438,175869,220754,262836,302695,339320,372829,403639,431607,457476,480883,502058,521937,540114,556831,572075,586312,599507,611368,622410,632849,642489,651394,659747,667709,674950,681806,688292,694418,700083,705474,710348,715148,719630,723805,727782,731555,735055,738311,741466,744452,747333,749980,752532,754965,757295,759535,761664,763693,765701,767553,769284,770944,772570,774070,775491,776843,778153,779409,780628,781798,782924,783933,785044,786072,786932,787837,788678,789507,790361,791158,791839,792473,793141,793811,794429,795046,795634,796191,796736,797235,797781,798254,798733,799170,799580,799996,800395,800737,801085,801453,801791,802108,802445,802722,803020,803284,803554,803827,804095,804333,804563,804808,805040,805262,805470,805681,805868,806060,806259,806423,806598,806777,806945,
79920,42,1420,8653,25235,50366,80974,114433,148686,182869,215680,246429,275336,302246,327059,350240,371522,391166,409521,426375,442081,456545,469909,482382,493793,504587,514526,523788,532473,540615,548483,555625,562413,568762,574678,580195,585447,590673,595309,599727,603790,607727,611469,614984,618293,621356,624316,627155,629868,632449,634908,637169,639290,641399,643458,645393,647245,649007,650642,652223,653746,655211,656530,657863,659172,660427,661594,662692,663749,664776,665786,666721,667625,668519,669354,670128,670910,671664,672394,673099,673769,674449,675064,675647,676197,676730,677225,677754,678274,678722,679182,679607,680033,680446,680855,681228,681604,681991,682291,682571,682914,683238,683541,683837,684113,684355,684620,684866,685114,685355,685582,685819,686045,686263,686471,686666,686854,687037,687227,687393,
79930,8,437,3385,11557,25701,44698,67351,91900,116809,142179,166682,189898,212043,233062,252596,270967,288178,304196,319244,333323,346544,358794,370111,380923,391082,400429,409169,417336,424990,432266,439032,445522,451476,457151,462656,467682,472382,476895,481205,485305,489230,492932,496412,499725,502829,505760,508606,511257,513792,516239,518575,520752,522875,524869,526809,528629,530410,532044,533640,535183,536528,537924,539300,540581,541726,542937,544091,545167,546174,547146,548085,549018,549884,550768,551611,552447,553173,553870,554546,555183,555855,556533,557136,557691,558226,558757,559288,559769,560240,560697,561146,561558,561983,562366,562757,563116,563475,563829,564180,564473,564786,565084,565370,565651,565919,566185,566432,566688,566940,567163,567402,567631,567869,568075,568276,568459,568634,568817,568995,
79940,1,175,1830,7099,16934,31155,48813,68487,89285,110563,131623,151862,171515,190244,208178,224791,240429,255374,269139,282218,294638,306221,316926,326897,336326,345192,353666,361537,369067,375775,382286,388179,393969,399363,404625,409533,414238,418632,422694,426599,430324,433824,437198,440469,443537,446475,449177,451801,454246,456599,458904,461087,463152,465115,466984,468758,470447,472118,473737,475284,476730,478207,479520,480808,482004,483145,484281,485380,486412,487410,488379,489243,490137,490950,491781,492562,493301,494012,494684,495338,495970,496625,497251,497849,498451,499003,499576,500090,500562,501016,501485,501949,502402,502811,503160,503531,503858,504171,504514,504839,505142,505433,505682,505982,506241,506504,506752,506990,507226,507460,507687,507913,508126,508333,508530,508736,508928,509105,509261,
79950,0,79,945,4105,10607,20769,34007,49353,65889,83196,100695,118294,135245,151328,166996,181790,195934,209388,222118,234169,245404,256107,266158,275621,284376,292784,300720,308208,315179,321811,328040,333976,339445,344678,349619,354402,358731,362828,366719,370532,374171,377559,380781,383836,386784,389671,392246,394807,397238,399521,401724,403821,405798,407739,409560,411243,412881,414512,416076,417502,418960,420286,421569,422831,424027,425195,426285,427400,428413,429402,430296,431157,432038,432832,433628,434388,435136,435814,436461,437156,437791,438392,438954,439564,440124,440639,441208,441722,442235,442683,443136,443582,444010,444408,444823,445191,445525,445883,446213,446549,446881,447187,447464,447757,448051,448280,448529,448781,449029,449267,449508,449738,449934,450128,450305,450494,450701,450887,451053,
79960,0,34,432,2136,6070,12609,21767,33028,45458,58906,72815,86786,100973,114840,128186,141229,153459,165257,176411,187084,197220,206939,215850,224437,232547,240217,247536,254377,260859,266799,272697,278284,283620,288523,293283,297753,301995,306053,309764,313400,316855,320122,323230,326235,329091,331876,334418,336923,339185,341387,343543,345568,347488,349382,351200,352907,354558,356154,357666,359104,360446,361744,363029,364191,365381,366480,367592,368617,369577,370510,371352,372262,373097,373861,374699,375411,376160,376882,377561,378197,378849,379444,380016,380571,381124,381646,382158,382616,383100,383521,383959,384391,384786,385194,385569,385952,386305,386653,386976,387314,387603,387893,388155,388449,388705,388964,389217,389447,389682,389925,390159,390333,390521,390734,390931,391116,391277,391450,391614,
79970,0,12,193,1022,3109,7037,12916,20607,29727,39924,50774,61915,73027,84240,95123,105954,116462,126307,135915,145254,154103,162583,170619,178326,185664,192528,199004,205191,211048,216663,221854,226812,231606,236164,240453,244611,248378,251962,255580,258973,262104,265223,268185,271038,273722,276234,278730,281070,283335,285390,287441,289383,291200,292946,294683,296240,297771,299232,300668,302014,303364,304597,305771,306942,308083,309164,310231,311210,312134,313037,313892,314765,315557,316361,317139,317826,318528,319224,319848,320478,321105,321684,322259,322826,323379,323889,324371,324842,325308,325778,326219,326603,326994,327405,327804,328124,328477,328774,329098,329377,329687,329989,330285,330556,330798,331061,331310,331556,331778,331985,332206,332403,332601,332815,333000,333204,333383,333538,333705,
79980,0,9,91,558,1975,4771,9083,14962,22138,30221,39130,48256,57795,67263,76872,86330,95283,104015,112833,121351,129300,136852,144157,151072,157679,164007,170157,175974,181461,186607,191484,196187,200686,204957,209072,212966,216668,220107,223439,226595,229600,232555,235255,237944,240478,242928,245300,247522,249658,251724,253657,255506,257222,258921,260528,262092,263614,265144,266529,267879,269154,270393,271582,272694,273754,274763,275800,276734,277681,278550,279407,280250,281039,281776,282485,283146,283805,284439,285085,285679,286252,286796,287360,287879,288403,288885,289359,289847,290275,290721,291127,291555,291925,292291,292650,293002,293322,293655,293972,294257,294550,294844,295113,295367,295622,295865,296129,296354,296594,296822,297032,297232,297415,297607,297806,298001,298179,298349,298523,
79990,0,2,48,345,1241,3070,6111,10448,15716,22012,29137,36620,44440,52403,60504,68679,76507,84236,91718,99119,106123,112937,119479,125884,131954,137725,143408,148683,153723,158540,163179,167704,172001,176021,179706,183257,186768,190110,193268,196225,199090,201852,204481,207022,209419,211747,213956,216161,218185,220200,221930,223667,225358,226999,228598,230113,231574,232924,234295,235519,236737,237899,239009,240049,241129,242190,243135,244055,244934,245822,246571,247354,248119,248859,249566,250255,250915,251557,252142,252749,253286,253841,254354,254881,255408,255860,256301,256746,257142,257557,257933,258304,258666,259038,259383,259717,260047,260339,260625,260916,261225,261505,261823,262083,262341,262573,262817,263024,263227,263440,263655,263857,264041,264237,264420,264569,264743,264895,265038,
80000,0,0,20,172,639,1761,3826,6735,10592,15132,20534,26234,32372,38874,45469,52208,58900,65424,71897,78264,84386,90438,96058,101587,106885,111894,116887,121576,126108,130492,134730,138775,142525,146228,149604,152889,156056,159197,162172,164978,167578,170304,172754,175094,177324,179388,181543,183541,185421,187244,188980,190651,192295,193897,195417,196821,198141,199385,200659,201903,203018,204090,205172,206221,207238,208255,209197,210090,210931,211791,212573,213324,214083,214825,215517,216200,216832,217519,218124,218682,219234,219714,220192,220655,221146,221620,222074,222508,222903,223305,223705,224071,224420,224776,225122,225461,225780,226094,226376,226652,226931,227217,227461,227711,227966,228170,228389,228596,228818,229027,229218,229397,229602,229800,229985,230153,230305,230481,230622,
80010,0,0,9,69,316,898,2073,3980,6543,9818,13644,18036,22856,27813,33060,38447,43826,49240,54509,59750,65009,69973,74929,79696,84269,88825,93108,97333,101361,105173,108884,112456,115828,119159,122319,125201,128095,130991,133587,136193,138601,140946,143179,145335,147479,149498,151381,153209,154919,156578,158244,159837,161308,162697,164067,165419,166715,167927,169103,170238,171311,172352,173284,174194,175100,176003,176857,177719,178576,179350,180082,180790,181494,182151,182819,183418,184046,184624,185197,185700,186212,186679,187113,187570,188002,188453,188853,189227,189625,190016,190367,190731,191082,191407,191708,192058,192362,192653,192927,193180,193432,193720,193955,194192,194417,194643,194855,195076,195280,195485,195671,195874,196067,196259,196426,196580,196726,196880,197028,
80020,0,0,1,22,128,441,1058,2117,3693,5795,8300,11219,14674,18224,22036,26026,30064,34205,38510,42710,46858,50851,54787,58615,62434,66227,69804,73271,76796,80171,83331,86411,89231,92141,94872,97493,100130,102594,105032,107292,109444,111580,113528,115509,117438,119184,120925,122514,124075,125636,127097,128505,129895,131182,132421,133645,134811,135930,137013,138035,138951,139836,140717,141575,142442,143250,144029,144824,145545,146235,146959,147650,148309,148912,149527,150066,150617,151162,151674,152163,152640,153100,153524,153966,154401,154781,155156,155546,155916,156290,156610,156945,157292,157602,157914,158223,158516,158774,159049,159312,159583,159822,160077,160321,160520,160736,160960,161142,161323,161473,161639,161827,162010,162181,162327,162501,162661,162779,162927,
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80040,0,0,0,2,18,67,207,488,935,1617,2568,3833,5205,6815,8702,10640,12726,15035,17218,19621,22067,24538,26887,29424,31835,34147,36504,38889,41175,43325,45489,47627,49676,51735,53668,55574,57381,59131,60842,62540,64149,65679,67225,68630,70077,71433,72684,73972,75197,76327,77455,78559,79658,80714,81700,82694,83602,84457,85343,86173,86961,87708,88494,89232,89888,90553,91204,91828,92423,92979,93534,94053,94587,95088,95588,96021,96530,97009,97410,97841,98259,98612,98982,99383,99757,100089,100423,100722,101039,101323,101647,101935,102204,102496,102753,102991,103211,103458,103683,103898,104105,104282,104472,104638,104815,104987,105169,105348,105506,105663,105809,105970,106102,106226,106356,106466,106593,106729,106868,
80050,0,0,0,0,1,14,54,139,316,617,1055,1611,2325,3207,4206,5401,6665,8075,9497,11040,12593,14265,15982,17602,19341,21038,22785,24415,25984,27609,29199,30815,32384,33929,35399,36846,38259,39660,41038,42322,43638,44809,45914,47084,48195,49312,50397,51455,52458,53374,54254,55122,56011,56862,57674,58504,59243,60028,60731,61449,62165,62821,63437,64020,64616,65193,65765,66303,66798,67278,67779,68249,68724,69133,69585,69991,70382,70777,71180,71551,71883,72232,72589,72911,73236,73531,73835,74120,74382,74637,74872,75091,75326,75571,75763,75984,76217,76396,76619,76814,76996,77179,77369,77540,77712,77869,78046,78174,78321,78471,78609,78742,78877,78993,79114,79220,79338,79450,79551,
80060,0,0,0,0,0,1,10,26,71,155,288,471,726,1073,1558,2085,2678,3327,4055,4808,5681,6536,7462,8387,9341,10342,11341,12363,13372,14405,15405,16433,17412,18409,19337,20308,21295,22198,23104,24021,24903,25807,26632,27432,28237,29026,29733,30418,31163,31882,32567,33278,33936,34591,35182,35751,36290,36874,37382,37904,38426,38893,39392,39828,40296,40721,41152,41600,42011,42398,42788,43111,43472,43800,44153,44498,44784,45110,45414,45701,45955,46233,46479,46738,46964,47194,47404,47636,47859,48049,48254,48431,48640,48823,49019,49202,49372,49549,49719,49864,50025,50177,50325,50483,50620,50737,50854,50999,51096,51208,51321,51422,51528,51634,51730,51825,51918,52018,52106,
800730,11611,68303,158556,257066,350251,433922,507892,571785,627418,676121,718821,756224,788996,817865,843714,866831,887663,906369,923420,938825,952778,965487,977268,988033,997983,1007093,1015463,1023250,1030420,1037132,1043449,1049268,1054850,1059960,1064891,1069369,1073647,1077707,1081309,1084837,1088119,1091276,1094214,1096932,1099660,1102142,1104473,1106725,1108749,1110842,1112732,1114650,1116403,1118112,1119645,1121169,1122528,1123852,1125231,1126502,1127708,1128813,1129944,1130939,1131891,1132812,1133725,1134580,1135370,1136177,1136913,1137656,1138379,1139063,1139688,1140292,1140942,1141510,1142051,1142575,1143117,1143637,1144086,1144501,1144966,1145353,1145761,1146143,1146532,1146906,1147232,1147571,1147880,1148186,1148511,1148794,1149082,1149359,1149620,1149861,1150118,1150354,1150591,1150788,1151008,1151207,1151401,1151586,1151796,1151979,1152150,1152333,1152480,1152645,1152800,1152946,1153088,1153233,1153371,
80084,2517,23768,69754,130287,195130,258294,317073,370944,418809,462253,500647,535354,566505,594338,619398,642074,662601,681320,698480,714035,728415,741443,753509,764528,774770,784277,793055,801258,808867,816063,822806,828976,834682,840197,845269,850027,854581,858734,862715,866560,870056,873385,876588,879590,882466,885159,887765,890225,892425,894730,896767,898713,900574,902337,903999,905655,907303,908689,910096,911454,912689,913948,915132,916251,917346,918411,919389,920388,921292,922174,923020,923805,924616,925331,926017,926688,927375,928003,928635,929203,929764,930334,930820,931314,931790,932272,932719,933153,933554,933985,934376,934757,935070,935394,935757,936068,936387,936676,936970,937270,937537,937766,937974,938232,938458,938688,938906,939102,939301,939486,939678,939861,940026,940205,940377,940526,940673,940827,940985,
80090,895,12071,40998,83717,133472,184357,233763,280124,323288,362223,397061,429169,458213,484330,508189,530181,549839,567873,584249,599515,613387,626313,638222,649192,659422,668838,677606,685838,693426,700477,707373,713750,719685,725109,730206,735150,739701,744029,748152,751927,755516,758874,762134,765098,767932,770689,773279,775818,778273,780594,782732,784766,786721,788495,790316,792011,793702,795213,796648,798082,799383,800666,801836,802962,804061,805180,806201,807195,808125,809051,809899,810799,811574,812370,813105,813813,814459,815068,815736,816312,816859,817379,817854,818377,818850,819342,819825,820266,820693,821073,821505,821912,822301,822662,822996,823343,823666,823974,824283,824575,824852,825116,825371,825636,825876,826094,826307,826540,826762,826993,827165,827349,827537,827742,827911,828069,828236,828416,828552,
80101,282,5138,21172,48652,83617,122012,160863,198534,234249,267888,298654,327321,353435,377571,399411,419883,438557,455745,471583,486156,499524,511917,523727,534541,544646,553896,562609,570637,578231,585320,592116,598228,604077,609651,614719,619675,624290,628481,632408,636276,639974,643374,646686,649718,652575,655403,658121,660667,663171,665375,667559,669591,671524,673392,675128,676842,678626,680180,681663,683109,684519,685756,687034,688206,689413,690480,691515,692526,693484,694411,695292,696185,696985,697777,698480,699207,699934,700613,701258,701875,702474,703062,703601,704150,704692,705147,705608,706042,706461,706874,707235,707602,708033,708402,708702,709027,709368,709695,710028,710324,710615,710906,711195,711434,711655,711892,712111,712341,712565,712767,713011,713222,713414,713612,713801,713978,714135,714290,714440,
80110,62,1803,9444,24917,46665,72826,100716,129286,157402,184469,210143,233930,256476,277543,297098,315071,331782,347422,361967,375341,387896,399529,410299,420482,429946,438714,446815,454550,461670,468332,474654,480714,486420,491622,496595,501395,505823,510036,514016,517783,521317,524713,527926,531033,533944,536758,539352,541844,544186,546495,548668,550708,552718,554625,556354,558025,559672,561229,562810,564252,565662,566981,568247,569472,570659,571761,572816,573862,574796,575723,576619,577492,578357,579126,579898,580625,581362,582074,582697,583303,583950,584548,585117,585642,586158,586669,587181,587656,588083,588549,588966,589393,589749,590136,590507,590850,591163,591458,591810,592122,592423,592693,592940,593194,593459,593702,593908,594146,594394,594605,594805,594995,595167,595377,595565,595767,595943,596105,596281,
80120,18,952,5694,16269,32726,53362,76491,100605,124958,148714,171537,192943,213462,232631,250426,267319,282862,297402,310773,323291,335032,346087,356379,366021,375101,383493,391592,399010,405966,412669,418935,424840,430316,435491,440429,445028,449331,453432,457404,461096,464617,467950,471057,474062,476882,479555,482140,484442,486732,488977,491158,493270,495234,497089,498897,500552,502172,503718,505265,506694,508142,509462,510680,511872,512957,514017,515063,516064,517002,517950,518876,519744,520528,521326,522048,522819,523516,524167,524813,525453,526053,526651,527230,527767,528233,528746,529284,529748,530201,530646,531068,531477,531830,532178,532557,532926,533243,533552,533886,534178,534467,534783,535028,535302,535564,535806,536078,536308,536512,536715,536930,537137,537351,537545,537730,537893,538063,538248,538403,
80130,5,423,3176,10182,21666,36875,54599,74018,94058,114218,133544,152290,170136,187059,203176,218342,232568,245834,258269,269997,281038,291351,301205,310377,319072,327083,334748,341813,348519,354762,360745,366375,371729,376833,381580,386183,390337,394239,398079,401557,404961,408208,411264,414164,417021,419693,422158,424609,426954,429119,431238,433225,435115,436944,438660,440398,441908,443436,444905,446267,447611,448878,450117,451337,452462,453497,454558,455519,456463,457387,458275,459097,459919,460645,461375,462108,462832,463512,464191,464814,465392,465968,466556,467113,467649,468159,468655,469136,469597,470052,470454,470854,471215,471588,471975,472336,472660,472975,473294,473622,473890,474167,474437,474693,474963,475217,475441,475649,475896,476084,476283,476467,476677,476884,477060,477249,477421,477580,477747,
80140,3,201,1611,5814,13339,24161,37225,52264,68060,84430,100862,116910,132223,147085,161225,174496,187187,199190,210514,221020,230880,240296,249289,257628,265625,272964,279990,286642,292756,298659,304358,309663,314712,319558,324009,328269,332353,336090,339672,343079,346264,349395,352318,355191,357955,360442,362939,365290,367532,369721,371748,373701,375538,377261,378986,380631,382193,383633,385098,386505,387820,389024,390257,391459,392529,393558,394620,395618,396552,397485,398353,399234,400012,400774,401510,402217,402901,403538,404141,404752,405327,405860,406351,406883,407388,407872,408395,408881,409334,409760,410204,410611,410966,411350,411732,412077,412412,412721,413030,413337,413624,413914,414202,414435,414671,414907,415141,415374,415610,415823,416028,416234,416411,416595,416783,416953,417138,417296,417439,
80150,1,72,712,2890,7383,14235,23382,34068,45809,58486,71373,84151,96757,109013,120990,132485,143394,153650,163601,173000,182031,190543,198457,206022,213184,220026,226429,232485,238399,243883,249006,253977,258608,263111,267298,271253,275019,278607,281987,285190,288267,291198,294019,296854,299478,301936,304238,306472,308613,310662,312582,314419,316217,317941,319552,321119,322635,324065,325482,326779,328058,329298,330462,331582,332677,333678,334664,335584,336495,337408,338239,339061,339856,340623,341371,342112,342764,343446,344039,344605,345175,345718,346245,346789,347293,347769,348242,348695,349128,349560,349972,350401,350755,351126,351475,351833,352136,352452,352767,353054,353345,353627,353888,354152,354403,354654,354921,355177,355406,355596,355803,356015,356210,356406,356597,356778,356962,357137,357294,
80160,0,27,396,1795,4972,10026,17019,25478,35080,45551,56187,67212,78226,88742,99306,109518,119330,128680,137753,146389,154643,162455,169730,176863,183505,189774,195869,201505,206961,212077,216891,221659,226073,230400,234416,238228,241878,245282,248594,251650,254583,257454,260190,262781,265279,267733,269956,272010,274066,276022,277930,279724,281494,283109,284748,286230,287733,289124,290472,291781,292998,294138,295268,296368,297410,298388,299373,300301,301205,302053,302893,303649,304412,305099,305817,306487,307111,307766,308363,308946,309514,310086,310588,311072,311549,312030,312501,312939,313366,313784,314185,314578,314962,315327,315688,316012,316329,316634,316922,317233,317528,317769,318027,318283,318531,318771,319003,319227,319452,319669,319866,320066,320249,320434,320609,320776,320944,321084,321246,
80170,0,12,206,1071,3088,6711,11837,18347,25914,34309,43100,52279,61527,70813,79870,88680,97341,105710,113754,121456,128913,135964,142689,149017,155177,161120,166768,172052,177079,181868,186520,190704,194833,198838,202536,206162,209651,212938,215883,218761,221531,224242,226860,229238,231562,233880,236018,238140,240067,241987,243766,245539,247120,248701,250257,251661,252995,254352,255641,256867,257984,259139,260185,261230,262228,263229,264178,265088,265926,266798,267613,268386,269160,269919,270583,271186,271796,272461,273013,273577,274099,274642,275134,275650,276100,276566,277011,277454,277898,278310,278723,279103,279446,279818,280165,280463,280799,281078,281358,281630,281897,282153,282412,282634,282873,283099,283348,283579,283807,284022,284232,284442,284613,284809,284972,285147,285321,285503,285645,
80180,0,5,83,513,1747,3997,7536,12257,17956,24304,31244,38399,45995,53670,61294,68811,76313,83630,90659,97242,103778,110067,116071,121929,127377,132547,137577,142310,146842,151261,155510,159530,163449,167147,170580,173834,176950,179949,182897,185687,188342,190820,193200,195462,197605,199793,201810,203747,205692,207530,209240,210840,212351,213796,215191,216601,217886,219210,220370,221543,222657,223698,224742,225750,226726,227685,228587,229426,230263,231062,231807,232544,233295,233972,234636,235252,235867,236453,237043,237527,238035,238573,239079,239577,240056,240508,240948,241367,241786,242193,242553,242869,243197,243506,243835,244152,244457,244776,245088,245368,245651,245893,246130,246402,246628,246862,247102,247317,247513,247698,247904,248104,248262,248428,248610,248780,248939,249089,249235,
80190,0,1,33,253,929,2260,4484,7618,11556,16182,21448,27035,32798,38818,44945,51176,57271,63331,69281,75106,80655,85839,91001,96058,100791,105375,109870,114176,118201,122097,125882,129561,133061,136336,139556,142611,145492,148194,150834,153353,155746,158012,160268,162357,164440,166398,168325,170069,171849,173493,175072,176583,178053,179480,180856,182100,183363,184568,185685,186768,187826,188831,189805,190735,191672,192533,193417,194255,195016,195794,196523,197211,197900,198536,199171,199793,200379,200911,201445,201971,202448,202958,203396,203846,204271,204698,205086,205456,205866,206259,206627,206983,207328,207646,207953,208281,208574,208849,209123,209398,209672,209908,210143,210397,210622,210826,211036,211247,211444,211630,211801,211969,212191,212361,212523,212697,212828,212977,213124,
80200,0,0,19,114,425,1153,2413,4308,6801,9862,13560,17435,21714,26250,30821,35613,40285,45037,49818,54475,59125,63590,67983,72271,76336,80267,84212,87946,91504,94985,98204,101311,104359,107295,110073,112768,115339,117820,120206,122458,124668,126706,128688,130667,132504,134226,135930,137580,139117,140618,142058,143439,144746,145965,147174,148361,149508,150565,151638,152683,153649,154618,155495,156361,157183,157989,158809,159584,160353,161022,161745,162423,163058,163682,164225,164816,165310,165818,166345,166835,167296,167804,168261,168697,169125,169518,169893,170308,170672,171022,171366,171661,171992,172276,172596,172860,173132,173399,173649,173907,174139,174397,174636,174836,175032,175213,175412,175612,175797,175978,176151,176318,176510,176659,176812,176979,177135,177273,177422,
80210,0,0,3,32,150,518,1207,2267,3819,5820,8267,11076,14167,17415,20948,24489,28204,31913,35621,39365,43084,46615,50174,53667,57123,60463,63676,66863,69904,72897,75784,78470,81040,83442,85909,88282,90538,92700,94788,96833,98820,100608,102409,104205,105936,107551,108977,110471,111896,113295,114523,115753,116981,118179,119340,120439,121496,122470,123410,124346,125250,126059,126922,127672,128379,129124,129866,130544,131246,131895,132551,133137,133691,134242,134795,135313,135840,136312,136791,137228,137647,138121,138527,138942,139333,139707,140080,140408,140764,141119,141426,141756,142079,142376,142675,142960,143208,143470,143741,143978,144203,144428,144647,144837,145042,145232,145412,145587,145754,145897,146091,146246,146391,146515,146686,146822,146945,147085,147222,
80220,0,0,0,8,63,217,524,1060,1925,3043,4509,6321,8250,10444,12833,15356,18034,20747,23572,26295,29046,31763,34408,37123,39762,42421,45009,47520,49931,52180,54491,56686,58801,60897,62936,64961,66970,68758,70471,72236,73962,75527,77049,78569,79987,81352,82722,84035,85252,86482,87573,88720,89840,90882,91855,92814,93748,94682,95576,96437,97309,98091,98765,99486,100205,100834,101484,102102,102712,103293,103854,104378,104886,105410,105932,106397,106848,107274,107725,108136,108558,108986,109356,109736,110069,110397,110730,111045,111397,111696,111999,112290,112581,112833,113067,113330,113577,113817,114039,114260,114459,114688,114876,115062,115234,115403,115584,115747,115896,116055,116186,116306,116452,116569,116690,116839,116991,117111,117248,
80230,0,0,0,0,11,53,152,363,736,1269,1979,2871,4005,5212,6602,8070,9753,11494,13317,15125,17040,19020,20961,22907,24834,26744,28587,30458,32285,34066,35788,37561,39277,40900,42468,43987,45425,46892,48277,49708,51006,52351,53550,54758,55924,57090,58219,59253,60331,61325,62289,63247,64139,64974,65814,66609,67394,68132,68834,69523,70219,70855,71512,72100,72695,73282,73840,74377,74884,75385,75831,76274,76762,77204,77665,78067,78473,78842,79172,79526,79879,80215,80551,80851,81158,81461,81752,82009,82263,82552,82810,83086,83317,83537,83770,83984,84206,84397,84578,84767,84939,85105,85277,85465,85631,85798,85946,86097,86244,86388,86528,86651,86780,86894,87009,87135,87245,87349,87475,
80240,0,0,0,0,0,7,27,89,186,341,558,886,1328,1838,2430,3150,3952,4810,5677,6675,7800,8857,9968,11065,12167,13298,14365,15516,16700,17862,18976,20069,21143,22287,23366,24412,25445,26401,27434,28322,29255,30174,31088,31953,32791,33604,34396,35234,35983,36716,37421,38101,38746,39350,39968,40586,41156,41753,42284,42811,43358,43840,44359,44863,45330,45779,46192,46618,47009,47416,47815,48197,48583,48902,49207,49561,49876,50172,50485,50791,51089,51334,51576,51816,52065,52282,52515,52762,53006,53226,53450,53639,53843,54030,54209,54390,54584,54745,54894,55062,55209,55363,55501,55632,55771,55875,56008,56134,56244,56340,56438,56564,56682,56785,56900,56986,57086,57168,57282,
8025253,24767,105998,211924,316352,409193,490286,559300,619403,670892,715755,754432,788223,817764,844440,867794,888812,907787,924805,940505,954539,967452,979119,989866,999829,1008840,1017052,1024726,1031853,1038504,1044747,1050484,1055956,1061040,1065625,1070093,1074309,1078121,1081828,1085263,1088527,1091602,1094496,1097256,1099864,1102421,1104747,1106936,1109015,1110978,1112836,1114731,1116516,1118182,1119738,1121228,1122575,1123926,1125280,1126501,1127627,1128721,1129782,1130804,1131773,1132715,1133606,1134427,1135233,1136016,1136800,1137499,1138208,1138865,1139534,1140086,1140693,1141261,1141825,1142333,1142853,1143350,1143826,1144275,1144671,1145095,1145485,1145837,1146213,1146565,1146892,1147217,1147533,1147814,1148121,1148400,1148655,1148948,1149201,1149431,1149669,1149892,1150103,1150337,1150527,1150751,1150969,1151125,1151320,1151511,1151673,1151848,1152000,1152147,1152300,1152445,1152564,1152724,1152848,1152978,
802632,6890,42859,104073,174891,245083,310357,369045,421101,467669,508595,544869,577291,606219,631906,655155,676198,695088,712396,728011,742492,755692,767695,778754,788824,798187,806936,815168,822740,829875,836488,842584,848411,853851,858903,863637,868064,872230,876108,879808,883398,886739,889866,892870,895678,898374,900888,903215,905449,907608,909664,911652,913488,915169,916978,918564,920146,921603,922976,924348,925620,926884,927982,929092,930126,931139,932030,932891,933805,934677,935508,936325,937050,937755,938456,939144,939759,940354,940955,941507,942044,942577,943075,943549,944004,944453,944914,945364,945779,946192,946569,946934,947296,947609,947953,948257,948545,948814,949095,949358,949644,949880,950127,950356,950561,950747,950952,951164,951354,951573,951765,951963,952139,952298,952464,952603,952771,952925,953072,953215,
80275,2939,23861,65358,118466,175051,229962,281375,327961,370390,408053,441939,472647,499866,524528,547013,567277,585883,602559,618149,632400,645289,657111,668301,678657,688174,696839,705099,712703,719815,726456,732595,738489,743930,749079,753822,758407,762669,766740,770470,774070,777448,780579,783718,786616,789351,791896,794290,796685,798923,801106,803103,805062,806918,808696,810331,811871,813348,814741,816104,817359,818598,819784,820974,822083,823185,824195,825158,826117,826967,827842,828670,829437,830191,830928,831608,832301,832937,833502,834108,834667,835227,835779,836294,836792,837251,837706,838138,838563,838980,839386,839743,840085,840438,840789,841103,841435,841724,842012,842299,842561,842812,843072,843321,843559,843786,844004,844195,844408,844586,844757,844943,845124,845304,845483,845641,845806,845964,846129,846280,
80280,1017,11443,36868,73402,115187,158367,200518,239612,276551,310258,340994,368648,393781,416853,438199,457706,475473,491737,506711,520570,533079,544680,555745,566033,575253,584003,592186,599649,606782,613492,619698,625372,630798,635858,640744,645241,649512,653616,657436,661027,664465,667871,671026,674003,676691,679333,681816,684209,686385,688439,690478,692390,694235,695975,697672,699302,700794,702311,703714,705116,706413,707601,708804,709914,711041,712109,713108,714103,715005,715874,716748,717519,718269,718972,719699,720378,721043,721684,722299,722873,723434,724016,724540,725035,725530,726023,726446,726880,727281,727671,728023,728407,728749,729087,729423,729744,730034,730345,730656,730937,731221,731494,731762,732010,732232,732455,732672,732869,733080,733277,733493,733671,733834,734001,734151,734294,734461,734628,734768,
80290,282,4510,17945,40305,68883,100136,131935,163471,193083,221155,247303,271543,294309,315127,334169,351766,368024,383188,397285,410197,422075,433117,443537,453306,462329,470536,478456,485988,492815,499252,505294,511008,516398,521470,526183,530615,534928,538979,542709,546205,549564,552760,555720,558638,561382,564027,566558,568935,571224,573331,575377,577325,579225,580963,582719,584333,585875,587293,588756,590068,591393,592587,593760,594862,595964,597003,598023,598922,599856,600706,601591,602413,603195,603937,604669,605397,606072,606706,607331,607898,608446,609012,609547,610039,610560,611068,611562,612019,612453,612820,613213,613595,613934,614287,614617,614965,615302,615610,615907,616203,616478,616731,616982,617206,617445,617670,617919,618109,618310,618504,618715,618916,619104,619268,619437,619604,619783,619940,620099,
80300,129,2559,11514,27760,50178,75626,102672,129284,155480,180420,203983,226191,246873,266007,283803,300276,315387,329684,342842,355294,366642,377237,387228,396517,405247,413417,420993,428233,434889,441245,447222,452764,458069,463066,467671,472038,476318,480293,483926,487481,490848,493960,496963,499831,502522,505075,507518,509886,512187,514334,516316,518260,520078,521840,523424,525089,526648,528126,529523,530923,532281,533508,534716,535847,536993,538061,539079,540016,540912,541859,542712,543544,544300,545038,545817,546516,547126,547779,548391,548978,549563,550103,550609,551108,551643,552134,552582,553060,553493,553936,554290,554678,555057,555417,555781,556107,556435,556740,557032,557328,557625,557909,558177,558420,558666,558884,559115,559323,559528,559733,559952,560138,560330,560505,560664,560841,561016,561176,561318,
80310,50,1296,6903,18280,34573,54378,76119,98304,120705,142470,163365,182962,201225,218670,235004,250208,264439,277564,289917,301335,311994,322050,331530,340360,348720,356212,363427,370277,376738,382655,388484,393887,398892,403635,408107,412475,416515,420435,424177,427628,430887,433962,436909,439679,442351,444902,447286,449552,451677,453761,455732,457586,459422,461164,462837,464429,465896,467340,468657,469968,471273,472463,473707,474819,475862,476910,477907,478879,479774,480618,481462,482342,483113,483810,484518,485214,485884,486561,487182,487806,488374,488924,489495,489986,490521,491021,491459,491920,492373,492807,493199,493603,493944,494326,494681,495012,495361,495647,495960,496257,496505,496796,497084,497332,497539,497769,497993,498235,498448,498641,498819,499013,499217,499422,499617,499794,499971,500124,500296,
80320,18,608,3650,10850,22001,36501,53189,71478,89577,107911,125766,142591,158682,173841,188272,201890,214584,226620,238090,248729,258652,268010,276936,285273,292970,300437,307455,314005,320082,325932,331344,336589,341364,345944,350323,354310,358189,361967,365469,368854,372141,375196,378008,380785,383361,385860,388174,390446,392620,394686,396703,398493,400284,401960,403578,405054,406547,407988,409367,410634,411860,413092,414232,415402,416438,417489,418515,419456,420314,421194,422043,422868,423625,424369,425060,425778,426429,427085,427713,428304,428918,429431,429975,430504,431006,431483,431961,432440,432844,433242,433656,434082,434443,434803,435150,435451,435782,436085,436387,436649,436943,437245,437483,437740,437960,438187,438446,438666,438888,439087,439286,439481,439697,439882,440046,440227,440378,440545,440716,
80330,6,241,1814,5881,12978,22911,34854,48175,62344,76607,90795,104911,118552,131678,144147,155919,167096,177743,187964,197560,206634,215108,223136,230698,237770,244484,250904,256847,262623,268009,273184,277998,282593,287006,291157,295038,298758,302289,305535,308690,311747,314620,317351,319901,322385,324804,327039,329225,331295,333295,335192,337055,338801,340498,342104,343634,345073,346422,347735,349070,350212,351393,352567,353629,354656,355679,356658,357550,358460,359338,360129,360877,361627,362325,362986,363614,364239,364861,365442,366060,366623,367161,367673,368167,368654,369073,369503,369936,370380,370799,371213,371621,372008,372362,372702,373006,373307,373624,373920,374220,374505,374777,375049,375312,375552,375789,376017,376221,376432,376626,376828,377025,377202,377388,377570,377726,377893,378057,378220,
80340,0,119,1049,3831,9036,16533,26042,37021,48796,60944,73304,85548,97395,108794,119858,130794,140950,150794,159995,168787,177194,185028,192618,199725,206325,212621,218684,224365,229763,234955,239795,244342,248755,252929,256846,260574,264055,267626,270772,273776,276683,279556,282201,284626,287035,289245,291480,293581,295480,297398,299262,301018,302720,304259,305790,307226,308652,309994,311308,312551,313769,314942,316028,317113,318095,319077,320026,320917,321845,322709,323491,324265,324988,325706,326396,327063,327701,328325,328866,329451,329986,330512,331049,331550,332037,332475,332937,333372,333786,334184,334557,334924,335295,335607,335971,336282,336584,336888,337155,337458,337732,337985,338221,338470,338732,338973,339211,339441,339649,339853,340054,340227,340410,340609,340809,340984,341152,341339,341460,
80350,1,51,559,2265,5735,11289,18474,27014,36611,46604,56871,67198,77394,87579,97119,106771,116038,124830,133109,140962,148504,155738,162501,168970,175235,181086,186621,191952,197114,201926,206472,210788,214983,218828,222586,226201,229602,232794,235765,238684,241392,244078,246597,249036,251347,253631,255685,257653,259554,261491,263352,265049,266630,268209,269719,271145,272514,273801,275021,276203,277327,278409,279461,280491,281468,282345,283251,284137,285024,285845,286695,287412,288153,288845,289517,290159,290817,291412,291960,292492,293005,293508,294058,294563,295003,295431,295872,296318,296699,297121,297470,297858,298210,298542,298850,299194,299497,299813,300103,300385,300632,300869,301135,301385,301621,301838,302070,302281,302483,302672,302898,303069,303241,303408,303582,303752,303921,304071,304222,
80360,0,21,257,1263,3561,7323,12436,18740,26035,33971,42367,50936,59554,67950,76339,84640,92511,100118,107418,114456,121343,127803,134025,139915,145592,151004,156181,161051,165719,170102,174311,178278,182049,185718,189277,192613,195768,198730,201548,204251,206834,209258,211621,213815,215980,218073,220016,221917,223798,225656,227238,228784,230270,231784,233235,234559,235863,237106,238255,239402,240459,241550,242550,243558,244489,245391,246179,246992,247772,248564,249285,250014,250654,251338,251968,252623,253193,253750,254336,254864,255335,255790,256293,256787,257234,257687,258117,258491,258885,259285,259647,260013,260355,260687,261026,261311,261615,261921,262219,262483,262757,263006,263241,263500,263720,263947,264164,264366,264569,264753,264938,265114,265290,265457,265604,265778,265941,266086,266241,
80370,0,10,120,653,1935,4174,7531,11917,17328,23335,29836,36527,43402,50256,57160,63907,70570,76898,83301,89524,95485,101117,106479,111808,116817,121571,126063,130504,134604,138590,142416,146163,149747,153149,156334,159321,162166,164963,167444,169969,172385,174611,176869,179017,181079,182963,184860,186603,188286,189914,191468,192982,194482,195820,197176,198466,199721,200900,202038,203143,204130,205121,206063,207011,207855,208708,209533,210335,211069,211804,212501,213171,213878,214500,215089,215704,216223,216757,217265,217769,218270,218727,219209,219678,220144,220544,220966,221358,221739,222122,222457,222790,223119,223430,223737,224025,224346,224619,224876,225136,225390,225620,225873,226088,226292,226505,226722,226935,227141,227318,227503,227645,227779,227954,228126,228277,228437,228590,228715,
80380,0,2,43,269,882,2120,4195,6943,10493,14623,19087,23886,29064,34355,39744,45077,50521,55824,60906,65886,70800,75586,80177,84591,88927,93064,97039,100846,104435,107944,111210,114450,117529,120562,123365,126029,128613,131086,133400,135703,137902,139914,141887,143794,145660,147337,149071,150675,152329,153752,155157,156562,157924,159188,160489,161709,162822,163917,164959,166005,166981,167923,168795,169666,170534,171296,172074,172775,173487,174183,174890,175543,176161,176821,177383,177945,178473,178975,179470,179962,180447,180928,181365,181781,182215,182600,182991,183334,183727,184055,184391,184693,185021,185288,185567,185840,186125,186403,186650,186906,187115,187331,187544,187768,188008,188226,188442,188623,188794,188978,189160,189339,189498,189645,189789,189959,190102,190252,190407,
80390,0,0,9,92,402,1097,2271,3988,6264,9034,12197,15744,19579,23602,27630,31748,36002,40304,44513,48604,52714,56628,60480,64225,67877,71374,74738,78089,81274,84226,87151,89926,92670,95313,97826,100208,102501,104751,106849,108937,110913,112813,114598,116370,117961,119622,121106,122603,124038,125368,126670,127863,129048,130253,131402,132509,133512,134510,135492,136399,137317,138150,138976,139758,140532,141288,141996,142725,143450,144083,144711,145295,145842,146407,146928,147502,148015,148480,148940,149398,149824,150267,150637,151029,151373,151733,152081,152472,152825,153149,153478,153772,154060,154365,154648,154906,155165,155406,155655,155907,156123,156330,156534,156741,156925,157122,157305,157494,157665,157847,157996,158153,158307,158466,158617,158778,158909,159039,159173,
80400,0,1,3,31,133,424,937,1844,3152,4827,6831,9141,11604,14320,17256,20208,23229,26328,29515,32583,35683,38619,41624,44522,47451,50408,53120,55777,58404,60951,63407,65741,68000,70116,72225,74364,76324,78178,79928,81668,83462,85043,86598,88091,89591,91023,92432,93712,94978,96226,97366,98449,99517,100555,101559,102538,103515,104405,105301,106128,106955,107744,108518,109195,109919,110591,111261,111885,112485,113060,113636,114236,114752,115253,115746,116218,116673,117136,117545,117957,118360,118741,119110,119462,119813,120164,120490,120814,121129,121407,121732,122002,122298,122562,122808,123043,123256,123504,123730,123929,124092,124301,124495,124681,124855,125028,125182,125352,125519,125659,125805,125943,126077,126198,126324,126449,126595,126741,126837,
80410,0,0,0,6,53,151,342,709,1282,2081,3117,4312,5659,7230,8950,10824,12759,14747,16855,18987,21126,23283,25351,27464,29561,31662,33698,35637,37605,39614,41515,43319,45127,46866,48547,50203,51799,53273,54711,56180,57540,58907,60142,61344,62555,63685,64780,65829,66905,67909,68923,69822,70719,71641,72488,73275,74106,74862,75592,76370,77093,77763,78413,79034,79653,80268,80843,81377,81929,82444,82924,83385,83907,84391,84830,85249,85661,86051,86426,86764,87124,87469,87808,88116,88429,88732,88985,89259,89533,89792,90032,90273,90527,90767,90998,91189,91394,91592,91771,91989,92163,92336,92519,92674,92851,92989,93164,93337,93476,93634,93770,93921,94025,94126,94248,94353,94470,94574,94684,
80420,0,0,0,1,3,22,63,163,318,586,958,1439,2032,2781,3571,4497,5503,6607,7734,8885,10090,11313,12564,13859,15146,16435,17704,18957,20195,21465,22706,23940,25182,26417,27612,28766,29894,31001,31999,32960,33952,34901,35837,36738,37607,38476,39307,40105,40872,41655,42344,43033,43739,44447,45080,45708,46282,46866,47452,47998,48533,49032,49552,50055,50551,51032,51457,51895,52330,52695,53109,53534,53911,54264,54602,54935,55242,55500,55794,56068,56335,56614,56853,57109,57361,57595,57848,58075,58328,58546,58768,58971,59188,59382,59574,59751,59921,60110,60260,60420,60570,60721,60880,61026,61160,61278,61405,61529,61642,61774,61908,62021,62137,62261,62360,62463,62553,62658,62760,
8043849,41353,141993,256665,362644,453907,531902,598597,654725,703160,744714,780541,812121,839877,864367,886200,905843,923423,939481,953788,966856,978764,989404,999350,1008480,1016938,1024872,1032038,1038781,1045023,1050913,1056302,1061344,1066024,1070518,1074658,1078553,1082234,1085719,1089030,1092225,1095169,1097891,1100524,1103041,1105278,1107538,1109697,1111648,1113487,1115290,1116985,1118602,1120105,1121478,1122833,1124221,1125473,1126639,1127820,1128951,1129995,1131040,1132002,1132919,1133787,1134668,1135447,1136203,1136924,1137646,1138352,1138983,1139616,1140250,1140887,1141452,1141980,1142499,1143017,1143502,1143951,1144401,1144815,1145227,1145628,1145969,1146324,1146680,1147023,1147335,1147672,1147935,1148216,1148505,1148766,1149021,1149269,1149504,1149713,1149935,1150150,1150350,1150564,1150777,1150947,1151135,1151312,1151495,1151673,1151848,1152004,1152160,1152305,1152436,1152575,1152710,1152847,1152981,1153093,
8044115,13276,64196,137109,213955,286303,351701,409608,460932,505630,544875,579383,609775,637276,661879,683737,703287,721188,737654,752277,765880,778173,789671,800018,809470,818294,826569,834218,841346,847880,853954,859767,865108,870092,874802,879200,883495,887517,891197,894679,897961,901044,904032,906765,909434,911911,914215,916396,918470,920580,922584,924472,926179,927804,929422,930989,932412,933734,935030,936279,937458,938591,939689,940768,941764,942736,943674,944585,945474,946341,947112,947873,948535,949204,949865,950531,951120,951707,952269,952789,953314,953804,954257,954736,955172,955607,956024,956419,956821,957192,957562,957900,958226,958572,958885,959174,959470,959760,960016,960271,960501,960770,961034,961243,961438,961641,961848,962057,962251,962439,962634,962790,962956,963123,963282,963424,963567,963690,963812,963931,
804534,6452,37874,90194,150683,211309,268089,319794,366034,407316,444042,476841,506069,532256,555862,577275,596864,614370,630455,645253,658757,671166,682484,692974,702591,711509,719877,727571,734795,741482,747872,753656,759275,764565,769347,773828,778092,782200,786035,789583,792935,796162,799253,802195,804903,807382,809825,812176,814308,816481,818512,820411,822223,823967,825664,827168,828741,830119,831449,832750,833992,835103,836217,837311,838367,839393,840349,841283,842222,843065,843894,844711,845463,846147,846828,847463,848083,848685,849293,849851,850388,850881,851368,851868,852353,852792,853218,853654,854065,854456,854845,855215,855539,855886,856202,856519,856795,857112,857399,857660,857923,858165,858426,858652,858864,859055,859262,859460,859648,859848,860016,860203,860398,860569,860715,860904,861075,861210,861363,861500,
80463,2585,19801,54010,98284,145927,192337,236186,276461,313175,346146,376829,404261,429161,451418,471639,490480,507273,522829,537008,550097,562176,573308,583663,593330,602253,610566,618124,625272,632068,638348,644344,649926,655215,660166,664735,669054,673236,676944,680639,683996,687164,690214,693155,695825,698466,700849,703185,705429,707575,709584,711536,713403,715121,716782,718306,719762,721156,722574,723896,725196,726430,727615,728696,729772,730818,731797,732746,733652,734514,735338,736104,736890,737612,738328,739020,739657,740286,740881,741441,742000,742547,743057,743631,744115,744565,745003,745459,745887,746302,746708,747070,747444,747776,748097,748412,748719,749006,749302,749573,749827,750071,750346,750591,750816,751053,751249,751443,751667,751869,752059,752266,752449,752629,752798,752960,753121,753285,753457,753587,
80470,793,8680,28195,57197,90914,125786,160319,193396,224262,252972,279524,303570,325765,346424,365081,382265,398192,412795,426228,438823,450520,461150,471190,480410,489224,497330,504718,511618,518165,524411,530083,535475,540742,545546,550174,554346,558348,562168,565830,569271,572452,575525,578434,581249,583976,586490,588872,591139,593256,595256,597130,598966,600686,602381,604050,605568,607007,608408,609742,611014,612278,613482,614684,615791,616826,617839,618741,619662,620546,621393,622217,623011,623750,624453,625184,625859,626492,627075,627690,628297,628827,629320,629827,630317,630814,631257,631722,632153,632563,632967,633385,633742,634086,634433,634739,635035,635342,635642,635911,636213,636504,636774,637007,637257,637475,637680,637923,638126,638329,638546,638731,638903,639091,639272,639431,639605,639750,639902,640042,
80480,411,5075,18733,40534,67664,96909,126298,155416,182930,208774,232981,255158,275879,294785,312522,328815,343885,357892,370921,382671,393914,404279,413877,422875,431311,439081,446414,453330,459780,465828,471485,476774,481717,486523,490965,495225,499291,503123,506691,509961,513286,516243,519048,521845,524475,526959,529373,531594,533710,535752,537746,539569,541316,543084,544673,546173,547740,549131,550428,551698,552902,554122,555329,556400,557393,558423,559436,560375,561268,562110,562933,563715,564451,565156,565895,566575,567232,567848,568507,569097,569647,570175,570651,571191,571657,572155,572629,573065,573451,573833,574225,574601,575010,575358,575667,575982,576292,576607,576919,577191,577467,577715,577943,578170,578379,578587,578811,579008,579204,579394,579607,579776,579967,580152,580326,580500,580658,580783,580915,
80490,168,2899,11735,27475,48191,71945,96571,120924,144797,167612,189438,209551,228347,245832,262016,277337,291407,304549,316701,327920,338356,348276,357514,366048,374055,381344,388455,395118,401443,407296,412793,417997,422845,427425,431880,436043,439950,443635,447150,450437,453507,456524,459368,462111,464779,467210,469538,471788,473948,475942,477793,479644,481416,483073,484650,486176,487573,488949,490287,491553,492751,493935,495021,496096,497144,498169,499123,500085,500953,501806,502648,503455,504240,504962,505661,506367,507002,507613,508227,508829,509395,509932,510450,510946,511399,511876,512345,512786,513201,513615,513994,514391,514740,515073,515382,515739,516047,516389,516684,516961,517244,517481,517748,517978,518220,518465,518654,518862,519080,519264,519467,519660,519834,519998,520192,520355,520508,520658,520819,
80500,79,1444,6803,17454,32320,50264,69795,89877,109783,129471,148177,165817,182448,198214,212986,226790,239745,251807,263204,273830,283638,292773,301575,309694,317158,324344,331115,337585,343525,349262,354545,359416,364069,368434,372673,376634,380533,384073,387499,390865,394024,396986,399771,402419,404861,407322,409553,411728,413779,415765,417686,419539,421300,422942,424479,425943,427356,428753,430086,431325,432522,433653,434722,435770,436815,437822,438768,439673,440512,441371,442215,442980,443684,444404,445062,445737,446377,447032,447686,448283,448858,449405,449937,450434,450914,451394,451855,452313,452740,453126,453521,453879,454240,454572,454893,455184,455464,455760,456043,456304,456566,456833,457090,457321,457560,457779,458000,458197,458388,458595,458772,458951,459125,459320,459523,459672,459817,459980,460121,
80510,17,575,3486,9918,19614,32163,46752,62303,78359,94305,109832,124918,139389,153034,166048,178230,189556,200414,210569,220271,229410,238021,245992,253595,260713,267486,273707,279518,285170,290339,295323,300000,304467,308649,312637,316461,320164,323520,326748,329871,332865,335605,338306,340812,343166,345481,347642,349772,351796,353656,355463,357330,358970,360601,362127,363533,364926,366284,367633,368884,370059,371189,372295,373342,374408,375381,376335,377214,378061,378886,379705,380413,381145,381855,382559,383172,383813,384420,384989,385560,386121,386658,387165,387653,388146,388582,389013,389474,389885,390293,390658,391025,391389,391715,392063,392401,392710,393006,393289,393571,393836,394130,394338,394581,394817,395051,395260,395461,395649,395839,396010,396203,396396,396561,396721,396876,397025,397185,397335,
80520,5,313,2144,6530,13833,23797,35386,48325,61959,75675,89037,102452,115183,127396,139064,150194,160743,170771,180158,189074,197509,205600,213168,220340,226997,233286,239134,244735,249987,255023,259774,264248,268614,272649,276604,280203,283671,286975,290101,293053,295962,298632,301177,303677,306160,308377,310549,312599,314573,316462,318251,319934,321582,323228,324692,326176,327590,328950,330200,331405,332561,333659,334773,335820,336870,337867,338763,339666,340564,341356,342122,342831,343552,344241,344931,345575,346168,346771,347311,347865,348402,348906,349409,349918,350412,350886,351323,351756,352160,352554,352896,353242,353598,353952,354279,354593,354902,355194,355505,355762,356026,356272,356525,356791,357028,357229,357445,357645,357844,358055,358248,358423,358598,358780,358947,359107,359279,359423,359583,
80530,0,155,1140,3978,9015,16417,25729,36094,46972,58522,70195,81510,92552,103317,113656,123651,133132,142159,150705,158979,166706,173967,180864,187359,193687,199617,205266,210494,215492,220223,224784,228988,233075,236938,240703,244221,247494,250710,253722,256579,259255,261950,264450,266745,268903,271083,273163,275112,276908,278691,280414,282041,283641,285189,286679,288160,289510,290759,291966,293079,294164,295222,296230,297226,298240,299149,300007,300860,301656,302414,303132,303904,304628,305333,305997,306616,307321,307886,308430,308953,309458,309964,310430,310907,311382,311824,312242,312630,313064,313453,313798,314176,314533,314886,315199,315524,315845,316129,316421,316680,316947,317216,317464,317700,317902,318141,318365,318580,318780,318989,319173,319343,319533,319705,319865,320026,320190,320344,320472,
80540,0,66,582,2328,5749,10957,17686,25538,34220,43359,52784,62256,71730,80953,89869,98638,106940,115024,122596,129896,136862,143503,149844,155697,161451,166827,171907,176793,181403,185947,190165,194276,198067,201582,205012,208241,211438,214387,217209,219925,222460,224960,227265,229558,231714,233782,235749,237627,239405,241115,242748,244359,245868,247270,248673,250035,251219,252459,253592,254710,255767,256793,257793,258762,259669,260565,261432,262233,262959,263727,264462,265149,265840,266482,267143,267748,268322,268921,269408,269923,270417,270924,271398,271830,272284,272730,273124,273502,273899,274285,274643,274968,275308,275627,275935,276250,276513,276771,277063,277311,277580,277840,278084,278342,278539,278766,278982,279189,279397,279561,279768,279943,280109,280273,280441,280617,280760,280908,281061,
80550,0,26,285,1179,3211,6572,11200,16861,23346,30463,37718,45203,52801,60489,67964,75200,82323,89324,95896,102278,108495,114263,119847,125155,130339,135151,139852,144397,148610,152679,156564,160221,163642,166952,170119,173193,176126,178925,181638,184143,186511,188835,191052,193168,195234,197081,198965,200800,202464,204033,205587,207085,208438,209834,211190,212519,213733,214874,216018,217149,218145,219116,220058,221010,221900,222753,223557,224407,225138,225841,226512,227168,227815,228391,228970,229516,230056,230601,231131,231637,232110,232555,232988,233410,233820,234212,234612,235002,235367,235744,236063,236403,236721,237038,237358,237642,237937,238225,238476,238747,238995,239230,239456,239681,239911,240101,240309,240506,240686,240878,241062,241261,241407,241582,241771,241908,242056,242186,242318,
80560,0,8,88,496,1526,3444,6260,10008,14380,19394,24919,30552,36508,42506,48530,54355,60071,65794,71329,76740,81799,86799,91537,96247,100685,104842,108916,112776,116426,119926,123333,126532,129817,132817,135705,138516,141140,143691,146066,148378,150478,152539,154578,156636,158499,160318,161997,163624,165152,166638,168033,169460,170707,171941,173193,174383,175504,176608,177643,178630,179561,180450,181336,182178,183008,183824,184539,185296,186038,186725,187394,188054,188653,189247,189835,190375,190908,191381,191865,192351,192817,193251,193675,194126,194510,194883,195274,195649,196001,196343,196699,197022,197350,197632,197915,198219,198474,198734,198962,199187,199449,199686,199921,200120,200319,200514,200700,200902,201091,201272,201436,201601,201758,201917,202068,202217,202360,202472,202604,
80570,0,0,29,205,674,1754,3442,5817,8728,12204,16004,20270,24683,29161,33670,38328,43036,47657,52155,56635,60856,65140,69199,73101,76879,80552,84118,87477,90657,93816,96795,99741,102538,105178,107723,110131,112451,114793,116919,118972,120985,122915,124740,126507,128134,129783,131374,132910,134367,135690,137024,138291,139552,140720,141881,142964,144000,144930,145942,146843,147762,148609,149464,150265,151077,151801,152494,153171,153804,154474,155100,155680,156280,156823,157339,157846,158360,158841,159338,159766,160196,160594,160986,161376,161747,162098,162444,162771,163108,163402,163695,164003,164269,164546,164821,165098,165344,165579,165807,166029,166269,166477,166670,166874,167070,167249,167428,167639,167824,167997,168150,168316,168471,168624,168765,168896,169035,169167,169281,
80580,0,0,6,66,273,722,1553,2833,4538,6676,9127,11796,14905,18032,21376,24785,28156,31675,35079,38462,41873,45233,48446,51612,54709,57656,60545,63330,66011,68609,71063,73443,75867,78042,80229,82357,84392,86355,88267,90045,91822,93508,95127,96614,98075,99494,100849,102206,103427,104682,105868,107020,108069,109058,110049,111053,111981,112881,113774,114605,115445,116224,116924,117662,118322,118959,119628,120248,120816,121357,121891,122444,122981,123481,123985,124432,124907,125339,125777,126178,126586,126998,127386,127759,128132,128498,128806,129119,129460,129759,130071,130356,130606,130915,131165,131414,131658,131905,132135,132343,132551,132753,132916,133067,133254,133443,133621,133781,133946,134092,134255,134394,134543,134685,134810,134952,135084,135202,135325,
80590,0,0,2,17,79,246,580,1114,1921,3003,4304,5877,7598,9522,11526,13692,15958,18275,20675,23074,25490,27858,30267,32529,34819,36956,39145,41277,43390,45443,47412,49316,51143,52962,54663,56341,57955,59499,61008,62516,63943,65317,66627,67847,69139,70315,71494,72670,73721,74722,75766,76707,77606,78510,79343,80167,80986,81734,82469,83183,83947,84614,85200,85848,86439,87018,87568,88145,88670,89171,89659,90121,90561,91022,91446,91855,92292,92675,93055,93395,93763,94088,94403,94726,95075,95384,95668,95959,96238,96521,96753,97001,97224,97471,97722,97931,98132,98326,98534,98723,98900,99085,99255,99436,99595,99765,99900,100051,100186,100328,100472,100620,100734,100838,100953,101072,101172,101274,101373,
80600,0,0,0,1,9,47,122,273,518,896,1387,2009,2748,3610,4625,5723,6846,8093,9414,10782,12158,13546,14901,16353,17797,19191,20620,21995,23394,24752,26119,27389,28670,29915,31078,32292,33417,34600,35651,36687,37723,38737,39700,40681,41597,42452,43322,44133,44921,45762,46479,47151,47877,48588,49219,49825,50472,51131,51744,52288,52824,53346,53869,54355,54830,55321,55730,56163,56605,57051,57421,57794,58233,58602,58926,59250,59568,59869,60190,60448,60727,60994,61260,61524,61766,62023,62257,62472,62706,62927,63124,63321,63530,63729,63910,64114,64286,64463,64616,64738,64901,65051,65203,65345,65488,65646,65754,65890,66028,66150,66238,66363,66485,66618,66725,66818,66908,67003,67075,
80612148,60188,175246,295143,401170,490574,565620,628629,681408,727284,766606,800543,830077,856059,879161,899638,918122,934710,949729,963330,975575,986781,996909,1006385,1015127,1023154,1030444,1037399,1043716,1049544,1054995,1060058,1064921,1069513,1073734,1077633,1081354,1084867,1088215,1091336,1094208,1096894,1099432,1102037,1104395,1106551,1108633,1110636,1112615,1114441,1116155,1117777,1119319,1120818,1122232,1123623,1124955,1126179,1127317,1128394,1129455,1130434,1131429,1132375,1133273,1134087,1134911,1135768,1136519,1137258,1137980,1138623,1139244,1139842,1140445,1141053,1141580,1142091,1142598,1143063,1143523,1143961,1144370,1144807,1145203,1145585,1145915,1146259,1146609,1146953,1147251,1147546,1147832,1148094,1148388,1148619,1148841,1149096,1149334,1149562,1149765,1149997,1150209,1150399,1150600,1150780,1150970,1151129,1151312,1151488,1151638,1151798,1151963,1152085,1152235,1152369,1152496,1152621,1152729,1152848,
8062296,21993,86083,167977,248608,322363,387181,443599,492780,535554,572887,606328,635505,661281,684511,705482,724139,741047,756330,770329,783000,794940,805719,815654,824599,833005,840865,848039,854711,860949,866984,872589,877660,882441,886958,891183,895151,898811,902303,905602,908699,911674,914397,917125,919664,922064,924285,926484,928560,930451,932424,934207,935868,937462,938961,940485,941884,943173,944368,945573,946704,947823,948853,949841,950782,951759,952657,953507,954355,955101,955852,956551,957226,957925,958554,959191,959731,960297,960845,961372,961899,962388,962853,963301,963722,964113,964511,964896,965279,965644,965992,966346,966677,966986,967279,967559,967804,968077,968351,968611,968851,969089,969302,969497,969715,969898,970120,970316,970499,970659,970841,971012,971182,971338,971506,971656,971802,971950,972083,972203,
8063111,11406,53736,115212,181083,244352,302099,353594,399329,439555,475138,506813,534803,560061,582698,603191,621493,638111,653479,667510,680323,691993,702900,712871,721993,730631,738572,746037,752676,759072,765094,770707,775896,780777,785353,789752,793856,797728,801275,804710,808010,811112,813967,816707,819280,821686,823940,826148,828291,830307,832226,834023,835815,837451,838989,840487,841912,843257,844535,845805,846963,848075,849168,850280,851332,852273,853163,854061,854832,855653,856453,857203,857924,858613,859257,859919,860515,861117,861687,862205,862745,863267,863759,864227,864685,865114,865507,865879,866267,866652,866998,867336,867644,867951,868239,868565,868856,869136,869419,869704,869958,870202,870421,870620,870831,871041,871248,871434,871615,871798,871990,872171,872332,872477,872634,872800,872942,873090,873229,873371,
806427,4832,29355,71884,122150,173559,222194,266901,307490,344402,377033,406525,432982,457031,478708,498331,516165,532774,547630,561553,574186,585796,596656,606728,615765,624368,632306,639665,646466,652824,658721,664267,669692,674659,679341,683697,687834,691679,695307,698712,701989,705083,707998,710798,713386,715931,718248,720553,722715,724787,726740,728584,730330,732076,733663,735184,736631,738017,739402,740652,741908,743062,744170,745219,746268,747293,748253,749076,749922,750781,751580,752360,753098,753797,754492,755144,755726,756328,756879,757445,758001,758534,759075,759579,760016,760479,760902,761300,761758,762133,762500,762865,763170,763481,763779,764086,764395,764671,764932,765211,765472,765707,765935,766158,766383,766593,766802,767003,767188,767380,767573,767762,767911,768099,768270,768434,768580,768733,768883,769027,
80651,1558,13799,39639,73929,111625,149788,185928,220116,251798,280646,306978,330807,352778,372955,391132,407996,423756,437941,451105,463294,474410,484709,494430,503355,511700,519505,526730,533635,539936,545683,551361,556624,561516,566169,570579,574678,578603,582207,585735,588968,592075,595054,597839,600525,603060,605439,607740,609913,611993,613927,615800,617575,619271,620966,622504,623951,625372,626701,627978,629295,630491,631622,632730,633796,634789,635742,636722,637560,638423,639256,640058,640817,641575,642261,642922,643573,644200,644814,645398,645943,646480,647007,647513,647964,648381,648859,649291,649733,650122,650503,650872,651239,651576,651877,652210,652514,652811,653111,653375,653646,653893,654133,654362,654606,654835,655043,655230,655409,655595,655775,655974,656145,656335,656498,656673,656807,656955,657124,657263,
80662,818,8614,27311,54258,85608,118202,150042,180491,209010,235355,259761,282069,302589,321432,338818,354930,369729,383627,396092,407720,418421,428429,437720,446580,454924,462411,469392,476029,482206,487969,493569,498802,503737,508392,512557,516587,520508,524150,527607,530932,534018,536890,539749,542467,544998,547393,549608,551796,553819,555837,557746,559533,561278,562858,564412,565834,567278,568611,569906,571200,572427,573594,574690,575683,576717,577664,578629,579527,580392,581244,582010,582793,583535,584253,584937,585616,586237,586851,587412,588019,588543,589073,589582,590033,590461,590930,591355,591753,592162,592556,592921,593296,593658,593989,594294,594594,594896,595214,595500,595782,596054,596296,596543,596782,597003,597210,597429,597663,597864,598047,598219,598397,598595,598756,598942,599103,599257,599381,599527,
80670,388,5011,17749,37833,62338,88826,115851,142147,167112,190737,212560,233092,252237,269836,286156,301179,315208,328135,340094,351095,361475,371177,380164,388598,396484,403805,410722,417209,423197,428985,434264,439304,444078,448634,452919,457001,460865,464409,467794,470973,474046,476851,479569,482213,484724,487165,489410,491585,493648,495610,497479,499303,501025,502607,504154,505559,506941,508315,509628,510831,512002,513096,514194,515284,516304,517296,518244,519188,520036,520903,521655,522402,523148,523842,524516,525160,525802,526407,526988,527528,528050,528572,529060,529549,530001,530439,530914,531332,531759,532154,532534,532914,533240,533600,533908,534198,534503,534770,535072,535365,535644,535912,536171,536416,536644,536851,537041,537224,537417,537614,537835,538017,538208,538386,538557,538718,538858,539015,539144,
80681,137,2580,10498,24326,42470,63122,85049,106999,128384,149227,168553,186919,203809,219755,234797,248600,261612,273550,284686,295059,304922,314080,322536,330624,338261,345256,351736,357952,363803,369285,374479,379301,383860,388295,392344,396278,399960,403404,406695,409790,412753,415513,418215,420816,423331,425712,427942,430060,432048,433969,435844,437658,439271,440880,442452,443963,445359,446695,447945,449131,450333,451486,452571,453648,454665,455674,456632,457490,458331,459136,459899,460659,461385,462074,462737,463369,464018,464644,465211,465793,466356,466883,467395,467890,468331,468767,469219,469647,470068,470466,470823,471195,471552,471896,472198,472503,472788,473093,473368,473645,473920,474172,474415,474648,474877,475098,475309,475507,475700,475896,476083,476282,476464,476647,476829,476997,477161,477299,477458,
80690,45,1227,5666,14420,27052,42212,58920,76312,93688,111072,127506,143171,157782,171552,184646,197015,208461,219468,229779,239296,248507,257035,265109,272746,279623,286265,292538,298269,303858,309129,314063,318652,323080,327225,331160,334818,338402,341785,344972,348012,350823,353432,356072,358615,361041,363328,365503,367624,369593,371416,373223,374924,376523,378075,379517,380976,382332,383699,384971,386107,387254,388343,389395,390430,391434,392406,393336,394196,395058,395882,396685,397454,398184,398863,399513,400130,400722,401304,401906,402440,402950,403441,403959,404434,404890,405290,405715,406140,406551,406974,407301,407657,408013,408362,408686,408986,409314,409600,409890,410178,410440,410691,410951,411193,411400,411628,411831,412021,412241,412430,412624,412819,412988,413139,413307,413451,413592,413737,413862,
80700,22,686,3525,9779,19499,31344,44823,59461,74367,89230,103798,117923,131041,143690,155656,167171,177914,188070,197606,206824,215340,223365,231045,238203,244947,251298,257234,262788,268174,273077,277759,282233,286551,290573,294402,298081,301466,304697,307793,310680,313448,316117,318629,321038,323348,325560,327644,329642,331507,333311,335036,336781,338380,339897,341382,342743,344039,345366,346608,347811,348900,350019,351058,352121,353099,354040,354930,355793,356687,357439,358233,358965,359653,360323,360954,361585,362211,362843,363412,363964,364530,365060,365568,366042,366469,366902,367334,367757,368170,368553,368908,369272,369626,369962,370272,370583,370863,371102,371411,371668,371930,372193,372433,372661,372889,373094,373318,373541,373714,373904,374100,374267,374449,374626,374791,374941,375112,375279,375444,
80710,6,325,2109,6415,13326,22730,33749,45488,57905,70474,82945,94990,106967,118139,129035,139305,149068,158231,167078,175359,183230,190598,197694,204237,210382,216245,221933,227268,232175,237080,241575,245853,249932,253634,257275,260667,264004,267062,270076,272823,275451,278024,280445,282727,284936,287089,289082,290991,292825,294578,296156,297798,299425,300923,302340,303722,305117,306390,307576,308749,309832,310905,311952,312965,313926,314843,315676,316516,317314,318080,318830,319541,320233,320884,321528,322125,322722,323287,323854,324419,324926,325387,325852,326300,326726,327143,327580,327978,328368,328784,329173,329553,329881,330209,330550,330844,331107,331380,331653,331919,332191,332452,332701,332931,333182,333395,333606,333804,334014,334211,334397,334581,334762,334949,335121,335280,335439,335571,335730,
80720,1,147,1076,3754,8388,14906,23177,32530,42548,52920,63451,73756,83769,93558,103030,112110,120780,128986,136807,144347,151415,158195,164556,170663,176471,181972,187034,191940,196552,200956,205265,209319,213099,216677,220138,223451,226430,229344,232121,234774,237296,239816,242178,244305,246479,248530,250489,252382,254184,255887,257484,259048,260582,262066,263409,264745,266079,267295,268449,269526,270614,271676,272633,273579,274480,275352,276194,277035,277845,278616,279365,280061,280715,281379,282057,282647,283194,283748,284270,284732,285263,285752,286177,286619,287054,287425,287814,288205,288531,288883,289241,289607,289919,290270,290596,290914,291181,291438,291705,291983,292258,292504,292743,292982,293186,293367,293565,293768,293952,294150,294320,294495,294667,294837,294991,295163,295324,295459,295610,
80730,1,68,511,2073,4987,9410,15203,22094,29629,37718,46032,54440,62597,70758,78669,86531,94017,101003,107851,114406,120739,126748,132387,137937,143098,147999,152678,157230,161560,165561,169497,173185,176561,179907,182970,186029,188871,191611,194245,196746,199176,201467,203636,205708,207803,209767,211613,213444,215121,216714,218280,219779,221263,222600,223964,225184,226409,227562,228660,229734,230758,231741,232675,233580,234421,235245,236082,236842,237580,238316,238998,239680,240310,240896,241460,242060,242567,243130,243635,244162,244625,245074,245477,245901,246312,246712,247125,247484,247868,248259,248580,248908,249253,249571,249875,250161,250426,250698,250982,251214,251458,251655,251899,252140,252352,252561,252762,252954,253123,253291,253480,253663,253823,253986,254172,254328,254459,254595,254720,
80740,0,25,200,871,2439,5004,8701,13284,18606,24414,30615,37053,43557,49990,56394,62720,68926,75022,80908,86531,91886,97059,102030,106780,111273,115594,119816,123883,127757,131314,134817,138217,141336,144301,147205,149918,152583,155146,157458,159757,161927,164079,166120,167956,169905,171686,173399,175027,176572,178103,179615,181026,182379,183623,184855,185990,187105,188230,189336,190304,191197,192060,192950,193777,194606,195360,196055,196799,197515,198218,198855,199511,200189,200761,201353,201884,202407,202917,203397,203848,204295,204746,205204,205603,206023,206379,206753,207107,207457,207795,208137,208441,208770,209086,209392,209648,209929,210154,210399,210657,210903,211132,211330,211523,211707,211899,212089,212297,212477,212632,212803,212943,213110,213258,213412,213547,213684,213845,213979,
80750,0,7,64,377,1218,2702,5045,8062,11564,15676,20237,25051,29986,35051,40166,45133,50233,55233,60132,64890,69411,73854,78122,82258,86279,90061,93616,97184,100533,103803,106826,109748,112424,115070,117593,120091,122418,124675,126877,129098,131170,133144,135008,136819,138469,140072,141635,143138,144596,145978,147297,148569,149747,150880,152028,153143,154189,155160,156118,157049,157972,158786,159599,160402,161151,161895,162623,163316,163972,164603,165238,165864,166432,166987,167500,168028,168494,168958,169414,169885,170304,170714,171092,171476,171837,172202,172558,172922,173224,173531,173853,174155,174432,174705,174950,175215,175472,175725,175995,176232,176445,176637,176853,177034,177242,177411,177584,177738,177913,178086,178250,178393,178524,178651,178784,178916,179041,179166,179297,
80760,0,0,29,128,470,1223,2416,4170,6360,8977,11950,15269,18750,22400,26194,29925,33603,37345,41005,44688,48275,51750,55154,58409,61548,64732,67745,70711,73514,76255,78832,81283,83686,86095,88323,90372,92431,94455,96369,98275,100061,101831,103587,105155,106668,108122,109511,110851,112091,113269,114500,115592,116699,117727,118716,119699,120654,121521,122402,123258,124059,124866,125583,126275,126960,127687,128304,128935,129500,130104,130649,131145,131686,132209,132740,133213,133715,134149,134578,135007,135396,135761,136141,136534,136899,137219,137535,137841,138179,138476,138795,139075,139347,139639,139881,140118,140348,140564,140803,141014,141232,141440,141625,141821,142001,142171,142333,142490,142679,142837,143002,143140,143290,143430,143578,143717,143837,143961,144065,
80770,0,0,0,24,140,415,928,1702,2768,4140,5776,7728,9855,12096,14461,16925,19455,21974,24504,27199,29737,32268,34822,37300,39640,42000,44357,46632,48862,50996,53060,55134,57049,58945,60682,62439,64135,65723,67271,68745,70181,71583,72979,74337,75629,76859,77973,79144,80269,81338,82380,83365,84271,85160,86044,86871,87725,88529,89328,90027,90741,91377,91994,92594,93210,93874,94419,94958,95481,95963,96462,96893,97345,97771,98191,98619,99040,99444,99799,100179,100541,100855,101203,101526,101834,102125,102404,102706,102955,103219,103487,103731,103980,104216,104425,104626,104827,105035,105244,105449,105637,105792,105969,106140,106307,106464,106614,106780,106939,107089,107219,107331,107441,107573,107678,107776,107887,108013,108135,
80780,0,0,1,5,27,83,210,432,762,1251,1868,2699,3612,4669,5871,7107,8501,9868,11334,12806,14301,15901,17486,19008,20564,22080,23587,25090,26567,28017,29426,30829,32183,33478,34723,35974,37183,38391,39556,40616,41751,42793,43792,44757,45680,46575,47431,48282,49100,49915,50654,51423,52105,52780,53420,54068,54751,55372,55978,56540,57094,57622,58162,58655,59152,59655,60126,60577,60974,61398,61763,62160,62526,62910,63235,63584,63903,64222,64514,64795,65129,65385,65668,65935,66227,66475,66713,66957,67202,67440,67663,67851,68043,68226,68399,68611,68787,68996,69154,69309,69465,69606,69746,69886,70013,70147,70260,70390,70512,70646,70771,70894,70977,71074,71167,71275,71378,71460,71552,
80794258,78603,206134,329118,434522,521926,594733,655208,705973,749511,786801,819022,847341,872190,894237,913566,931140,946739,960937,973798,985581,996359,1005985,1014747,1023064,1030620,1037724,1044310,1050355,1056004,1061290,1066220,1070768,1075071,1079160,1082999,1086574,1090019,1093100,1096052,1098911,1101585,1104076,1106374,1108614,1110598,1112585,1114500,1116277,1118005,1119613,1121131,1122568,1123995,1125281,1126513,1127756,1128938,1130028,1131129,1132126,1133088,1134012,1134885,1135712,1136546,1137315,1138072,1138777,1139478,1140175,1140805,1141425,1141969,1142542,1143090,1143593,1144120,1144591,1145047,1145508,1145948,1146383,1146773,1147146,1147526,1147864,1148185,1148518,1148825,1149116,1149393,1149671,1149924,1150148,1150406,1150659,1150895,1151106,1151357,1151570,1151801,1151981,1152175,1152356,1152525,1152712,1152869,1153041,1153203,1153361,1153507,1153637,1153788,1153922,1154043,1154167,1154274,1154391,1154496,
8080759,31765,107921,195949,279853,354744,418906,474222,522184,563599,599635,631135,659140,683898,706296,726299,744328,760373,775050,788452,800616,811923,822107,831387,840055,848108,855819,862663,869058,875073,880695,885827,890678,895186,899614,903670,907446,910976,914329,917415,920474,923387,926042,928622,931012,933283,935443,937421,939361,941267,943082,944779,946421,947912,949367,950774,952109,953415,954611,955737,956793,957853,958828,959822,960736,961589,962449,963272,964021,964762,965486,966200,966851,967432,968027,968631,969204,969754,970270,970800,971314,971775,972208,972642,973046,973441,973843,974242,974567,974914,975256,975596,975937,976243,976522,976784,977035,977290,977531,977754,977951,978170,978392,978602,978812,978987,979196,979375,979549,979723,979876,980032,980178,980333,980474,980606,980723,980858,980983,981107,
8081265,17161,69637,138855,208993,273792,331876,383180,428300,467665,502351,532803,559924,584262,605953,625676,643369,659574,674112,687377,699778,711123,721808,731231,740108,748121,755613,762715,769256,775446,781250,786500,791531,796274,800748,805036,808911,812499,816047,819382,822444,825369,828125,830752,833228,835601,837846,839923,841945,843859,845722,847522,849179,850869,852375,853791,855242,856585,857884,859031,860119,861289,862342,863320,864282,865235,866071,866885,867706,868455,869189,869892,870596,871261,871877,872523,873099,873628,874174,874688,875184,875646,876176,876652,877101,877514,877876,878255,878615,878972,879302,879603,879909,880223,880503,880813,881090,881358,881599,881863,882096,882317,882546,882760,882950,883135,883329,883527,883720,883909,884098,884282,884436,884593,884749,884883,885015,885155,885289,885409,
808261,8016,40531,89789,144350,198547,248727,293867,334403,370406,402828,431896,457900,481332,502529,521665,539169,554757,569225,582581,595020,606037,616387,625963,634809,643184,650914,658070,664662,670898,676548,682019,687255,691974,696553,700727,704712,708485,711930,715286,718382,721373,724145,726873,729440,731916,734217,736422,738470,740394,742272,744072,745762,747409,748996,750422,751797,753183,754509,755736,756953,758085,759129,760161,761167,762123,762969,763807,764702,765508,766308,767043,767753,768464,769071,769717,770355,770901,771431,771925,772433,772954,773455,773932,774383,774817,775222,775620,776009,776391,776752,777101,777436,777777,778076,778396,778681,778959,779247,779496,779753,779981,780207,780429,780637,780820,781026,781202,781392,781561,781750,781928,782102,782250,782397,782554,782712,782832,782982,783113,
808311,2979,20133,51598,90570,131759,171884,209459,244309,276322,305642,332093,356040,377583,397317,415233,431740,447005,460889,473707,485486,496405,506378,515716,524181,532265,539775,546688,553319,559574,565273,570761,575866,580653,585130,589279,593355,597171,600724,603977,607121,610106,612912,615696,618345,620891,623128,625269,627365,629301,631186,632941,634683,636282,637902,639404,640920,642230,643612,644880,646078,647216,648303,649394,650447,651353,652251,653155,653972,654775,655595,656367,657097,657804,658509,659120,659775,660355,660948,661511,662026,662534,663040,663488,663941,664410,664820,665225,665583,665968,666360,666698,667044,667354,667713,668021,668303,668605,668872,669146,669369,669648,669895,670154,670400,670617,670804,671036,671223,671431,671604,671766,671943,672103,672271,672408,672576,672736,672900,673051,
80843,1552,12764,36290,67444,102176,137084,170436,201878,230931,257667,282085,304497,325057,343754,360873,376532,391145,404651,416963,428466,438998,448824,457941,466527,474441,481788,488559,495110,501218,506858,512225,517237,521969,526482,530611,534646,538310,541867,545215,548312,551302,554185,556902,559402,561740,564094,566377,568472,570440,572281,574126,575842,577488,579028,580623,582092,583501,584815,586084,587278,588389,589505,590571,591608,592575,593472,594331,595202,596056,596847,597651,598384,599086,599792,600461,601109,601681,602254,602799,603333,603880,604379,604890,605366,605824,606254,606658,607110,607506,607892,608266,608609,608933,609287,609591,609887,610161,610434,610716,610973,611241,611486,611721,611930,612146,612355,612548,612750,612960,613148,613334,613508,613675,613853,614024,614172,614303,614437,614570,
80850,776,7938,24305,48203,75804,104910,133937,161350,187640,211835,234027,254603,273798,291158,307280,322256,336225,349017,360813,371838,381908,391510,400346,408477,416191,423442,430214,436585,442510,447964,453253,458231,462897,467224,471408,475274,478887,482359,485778,488911,491880,494645,497292,499833,502301,504549,506757,508827,510789,512676,514495,516254,517933,519557,521056,522488,523906,525210,526521,527715,528827,529944,530991,531974,532949,533877,534812,535699,536519,537310,538043,538810,539556,540236,540884,541488,542107,542702,543238,543776,544328,544825,545319,545786,546199,546652,547089,547545,547935,548312,548689,549044,549367,549691,550006,550307,550601,550870,551161,551429,551660,551918,552173,552394,552611,552816,553018,553233,553443,553620,553809,553957,554149,554317,554481,554628,554787,554937,555076,
80860,296,4093,14861,31964,53490,76859,100623,123953,146710,167945,188147,206756,224060,240046,254978,268744,281717,293667,304757,315081,324756,333680,342151,350067,357466,364345,370808,376957,382772,388154,393295,398089,402707,407006,411075,414950,418568,421966,425159,428255,431260,433946,436541,439115,441532,443831,446021,448101,450044,451924,453651,455343,456971,458557,460042,461472,462807,464126,465382,466581,467657,468768,469863,470887,471853,472814,473677,474539,475357,476203,476926,477693,478377,479033,479693,480316,480939,481516,482064,482593,483120,483602,484094,484544,484968,485401,485828,486243,486649,486994,487385,487729,488107,488425,488759,489065,489374,489656,489922,490189,490457,490715,490957,491196,491417,491638,491844,492033,492237,492393,492565,492757,492929,493110,493274,493438,493583,493731,493866,
80870,106,1923,8288,19358,34371,51871,70649,89476,108140,126015,143292,159349,174528,188825,202179,214772,226486,237502,247704,257333,266362,274747,282554,289898,296862,303407,309606,315517,321034,326342,331189,335946,340114,344215,348168,351819,355306,358540,361668,364707,367543,370228,372755,375161,377520,379763,381873,383856,385812,387682,389420,391115,392690,394170,395613,397010,398338,399660,400869,402068,403172,404220,405231,406259,407225,408147,409031,409907,410739,411547,412270,413005,413704,414386,415047,415703,416314,416891,417433,417985,418488,418973,419457,419918,420382,420820,421219,421617,422043,422413,422818,423151,423464,423788,424108,424421,424717,425028,425275,425548,425803,426056,426294,426513,426741,426935,427150,427371,427544,427743,427933,428116,428267,428443,428603,428760,428906,429073,429226,
80880,37,1097,5283,13513,25421,39531,54997,71167,87233,103225,118388,133078,146806,159887,172390,184072,195054,205416,214990,224086,232693,240528,248141,255294,262035,268420,274335,279997,285189,290036,294697,299051,303232,307157,310948,314556,318004,321205,324217,327159,329931,332542,334926,337317,339664,341824,343877,345929,347777,349511,351247,352846,354395,355836,357267,358651,359980,361225,362383,363508,364581,365626,366623,367587,368533,369428,370325,371115,371982,372729,373475,374170,374853,375588,376214,376829,377374,377971,378532,379083,379582,380057,380560,381055,381486,381909,382339,382750,383153,383539,383897,384245,384560,384888,385191,385494,385774,386027,386279,386540,386797,387068,387305,387551,387784,387979,388189,388372,388575,388744,388893,389069,389247,389423,389583,389740,389881,390028,390165,
80890,26,612,3257,9054,17491,28611,41183,54677,68316,82119,95519,108268,120514,132183,143304,153763,163935,173308,182095,190534,198533,206132,213327,220079,226295,231979,237638,242846,247897,252667,257043,261272,265288,269126,272693,276120,279386,282437,285254,287992,290653,293148,295582,297815,300072,302190,304157,306124,307974,309714,311429,313064,314575,315959,317338,318651,319969,321133,322319,323474,324466,325519,326566,327544,328462,329322,330146,331040,331825,332594,333301,333965,334649,335323,335927,336525,337125,337696,338284,338805,339317,339804,340272,340707,341145,341566,341932,342288,342687,343107,343494,343868,344210,344566,344871,345163,345445,345721,345989,346231,346500,346741,347001,347226,347426,347627,347831,348011,348208,348377,348557,348737,348895,349059,349220,349381,349515,349669,349814,
80900,5,295,1807,5447,11497,19610,29266,40010,51147,62614,73874,84603,95232,105533,115341,124671,133675,142267,150246,157824,165054,171954,178433,184524,190322,195910,201177,206052,210727,215228,219329,223359,227166,230722,234187,237508,240611,243564,246341,248991,251443,253773,256110,258276,260372,262356,264345,266178,267907,269577,271184,272632,274133,275510,276897,278164,279325,280595,281753,282812,283848,284832,285742,286676,287584,288471,289330,290172,290904,291658,292358,293011,293623,294252,294898,295493,296073,296629,297154,297636,298148,298645,299130,299618,300063,300491,300892,301261,301643,302022,302419,302804,303189,303493,303783,304063,304352,304599,304829,305084,305344,305594,305797,306028,306215,306443,306661,306855,307081,307242,307424,307611,307766,307939,308074,308219,308369,308496,308611,
80910,1,112,934,3133,6913,12509,19327,27374,35895,44852,53975,63171,72017,80609,89086,97184,105038,112453,119722,126374,132928,139061,144786,150201,155477,160477,165130,169609,173941,178011,181863,185564,189060,192381,195539,198606,201604,204263,206835,209384,211697,214012,216200,218296,220282,222129,224004,225815,227477,229157,230690,232108,233532,234843,236106,237406,238585,239757,240875,241926,242966,243958,244862,245713,246583,247382,248156,248920,249651,250383,251107,251752,252402,253004,253580,254138,254683,255232,255761,256263,256670,257124,257573,258002,258450,258822,259212,259620,259972,260339,260698,261081,261369,261650,261976,262279,262567,262853,263130,263355,263594,263835,264046,264289,264498,264712,264898,265097,265264,265448,265641,265825,265983,266143,266279,266435,266557,266696,266839,
80920,2,32,360,1466,3576,7021,11600,17025,23198,29915,36903,43938,50990,58003,64838,71431,77888,84213,90322,96194,101828,107265,112352,117135,121770,126180,130477,134534,138368,142168,145716,149061,152300,155325,158107,160952,163685,166255,168675,170975,173166,175331,177275,179238,181135,182913,184599,186252,187866,189371,190721,192084,193423,194725,195924,197061,198194,199291,200312,201320,202234,203126,203968,204797,205627,206426,207173,207889,208587,209228,209845,210478,211083,211671,212276,212848,213351,213866,214355,214836,215257,215678,216106,216501,216922,217316,217690,218054,218390,218740,219023,219313,219631,219926,220189,220422,220681,220949,221198,221425,221646,221869,222097,222306,222513,222704,222897,223088,223250,223420,223588,223751,223917,224067,224213,224340,224483,224618,224756,
80930,0,9,133,624,1821,3806,6682,10330,14710,19524,24654,29991,35548,41184,46749,52094,57427,62566,67717,72538,77139,81742,86070,90187,94246,98219,101907,105423,108748,111966,115086,118095,120999,123697,126362,128862,131308,133609,135771,137895,139853,141825,143622,145405,147118,148743,150294,151782,153197,154624,155908,157167,158348,159540,160677,161780,162863,163891,164869,165814,166724,167568,168393,169165,169930,170704,171415,172071,172730,173379,173991,174562,175134,175688,176246,176764,177297,177799,178264,178696,179101,179521,179936,180324,180693,181023,181380,181711,182070,182415,182709,183004,183286,183571,183849,184120,184379,184635,184869,185127,185333,185539,185723,185942,186122,186310,186502,186684,186882,187038,187172,187332,187484,187639,187772,187894,188023,188155,188275,
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80950,0,0,7,60,223,647,1302,2333,3747,5400,7325,9631,11941,14507,17130,19828,22570,25435,28263,31101,33973,36614,39352,42034,44588,47038,49382,51716,54069,56294,58422,60502,62499,64472,66371,68146,69827,71517,73165,74712,76170,77606,79031,80312,81563,82822,84049,85175,86310,87380,88398,89410,90347,91295,92146,92964,93801,94622,95367,96125,96789,97536,98185,98793,99390,99968,100541,101067,101605,102137,102617,103102,103606,104043,104497,104925,105344,105740,106114,106445,106789,107116,107413,107731,108051,108384,108685,108991,109291,109579,109850,110103,110354,110586,110814,111044,111265,111489,111679,111866,112051,112235,112412,112580,112748,112902,113039,113188,113340,113459,113610,113749,113878,114023,114135,114231,114344,114456,114571,
80960,0,0,1,7,30,104,278,570,1034,1703,2552,3593,4678,5992,7312,8774,10272,11882,13497,15178,16894,18548,20242,21937,23575,25108,26696,28320,29909,31455,32984,34446,35826,37193,38550,39888,41146,42398,43548,44667,45818,46861,47895,48914,49883,50852,51710,52584,53406,54209,55003,55763,56488,57220,57940,58576,59267,59921,60557,61156,61719,62332,62838,63400,63889,64371,64840,65297,65737,66136,66524,66906,67328,67703,68063,68386,68710,69034,69361,69671,69979,70248,70524,70788,71045,71302,71536,71770,72003,72200,72432,72616,72823,73008,73195,73390,73560,73729,73887,74044,74196,74364,74502,74657,74805,74932,75061,75193,75324,75441,75548,75674,75817,75919,76020,76119,76218,76315,76410,
80970,0,0,1,91,1044,5295,16477,38866,74913,126140,191146,268524,356001,450481,550109,651912,754013,855741,954452,1051218,1143557,1231318,1315461,1394143,1468238,1537195,1602217,1663336,1719944,1772377,1821582,1866905,1909329,1948663,1985321,2019358,2051030,2080404,2107575,2132884,2156208,2178319,2198640,2217622,2235190,2251658,2266843,2280977,2294045,2306160,2317521,2328228,2338293,2347610,2356212,2364353,2372119,2379170,2385752,2392109,2397925,2403323,2408628,2413466,2417943,2422252,2426305,2430004,2433479,2436817,2440030,2442914,2445740,2448335,2450863,2453261,2455533,2457714,2459771,2461622,2463356,2465069,2466627,2468108,2469577,2470925,2472254,2473448,2474618,2475696,2476685,2477672,2478591,2479458,2480296,2481083,2481869,2482563,2483216,2483826,2484472,2485073,2485670,2486245,2486748,2487271,2487793,2488255,2488701,2489130,2489552,2489910,2490262,2490632,2490963,2491297,2491620,2491925,2492211,
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80990,0,0,0,0,0,0,1,2,22,91,348,939,2199,4504,8198,13841,21813,32533,46519,63781,84530,108751,136809,168198,202633,240280,280684,323240,368142,414876,463176,512774,563259,614201,666021,717475,768835,820356,871801,922000,971528,1020428,1068489,1115843,1161757,1207445,1251536,1294258,1335940,1376380,1415273,1453518,1490841,1526845,1561153,1594801,1627016,1658182,1687993,1716835,1744663,1771432,1797383,1822683,1846743,1869915,1892016,1913260,1934081,1953930,1973050,1991505,2009244,2026246,2042487,2058277,2073405,2088007,2101798,2115194,2128364,2140959,2152929,2164468,2175477,2186294,2196673,2206684,2216240,2225383,2234212,2242826,2251225,2259115,2266976,2274324,2281545,2288220,2294772,2301205,2307449,2313319,2318999,2324433,2329670,2334806,2339757,2344498,2349123,2353619,2357983,2362027,2366019,2369834,2373564,2377131,2380694,2384155,2387353,
81000,0,0,0,0,0,0,0,0,0,0,2,7,18,73,186,433,850,1575,2789,4585,7117,10694,15382,21418,28883,37964,48703,61295,75869,92139,110241,130402,152367,175968,201281,228283,257034,286897,318004,350802,384347,419051,454291,490309,526736,563866,601313,639015,676701,714438,752343,789991,827509,864767,901891,938487,974738,1010451,1046053,1081267,1115662,1149695,1182805,1215490,1247347,1278462,1309397,1339616,1369221,1398098,1426110,1453748,1480717,1506903,1532758,1557882,1582269,1605824,1629000,1651889,1673597,1694748,1715600,1735559,1755472,1774795,1793367,1811630,1829426,1846533,1863314,1879239,1895195,1910535,1925492,1940134,1954393,1968135,1981523,1994422,2007050,2019267,2031112,2042633,2053896,2064823,2075534,2085922,2095941,2105838,2115237,2124550,2133568,2142332,2150652,2158711,2166646,2174447,2182067,
81010,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,11,30,64,137,238,398,705,1173,1746,2548,3642,5023,6845,9090,11791,14920,18807,23478,28804,34675,41548,49160,57653,67017,77366,88570,100660,113497,127238,142061,157496,173745,191122,208951,227344,246725,266717,287455,308702,330374,352758,375668,399158,422635,446702,471089,495653,520504,545401,570507,595632,620916,646707,672307,697736,723323,749061,774443,799928,825396,850534,875657,900639,925261,949595,973934,998102,1021863,1045266,1068347,1091594,1114476,1136852,1159092,1181181,1202869,1224150,1245178,1265828,1286216,1306476,1326339,1346181,1365456,1384512,1403223,1421715,1439630,1457310,1475012,1492266,1509410,1525963,1542341,1558199,1573982,1589218,1604197,1618993,1633795,1648294,
81020,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,8,22,33,67,116,195,310,476,710,999,1413,1988,2715,3585,4682,5992,7644,9670,11913,14547,17519,21031,24920,29299,34219,39655,45575,52015,58976,66641,74695,83500,92885,102924,113490,124358,136122,148115,160869,173836,187559,201827,216383,231397,246995,263037,279590,296139,313052,330364,348065,365917,384310,402832,421441,440498,459511,478716,498149,517514,537238,557069,576962,596709,616743,636861,656900,676852,696742,716849,736758,756610,776543,796483,816136,835755,855492,875058,894597,913717,932869,951762,970566,989192,1007666,1026091,1044388,1062277,1080077,1097601,1115241,1132531,1149842,1166637,1183485,1199975,1216319,
81030,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,7,11,19,25,45,79,123,169,239,347,497,704,955,1310,1749,2234,2830,3498,4320,5348,6548,7792,9224,10955,12909,15096,17549,20353,23350,26529,30175,34083,38219,42668,47549,52562,57994,63833,70113,76632,83596,90878,98516,106305,114670,123407,132422,141600,151147,161112,171454,181836,192629,203937,215265,226936,238636,250822,263168,275856,288568,301792,315016,328369,341932,355660,369554,383531,397630,412031,426427,441138,455826,470541,485236,499931,514747,529632,544844,559712,574856,590225,605355,620574,635635,650619,665751,680915,695861,710847,725646,740509,
81040,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,8,15,21,37,56,88,119,166,229,294,377,502,658,842,1056,1285,1558,1908,2327,2814,3339,3965,4731,5548,6433,7396,8540,9765,11127,12625,14284,16061,18052,20173,22354,24772,27432,30130,33015,36284,39592,43091,46805,50809,54997,59318,63853,68535,73500,78529,83728,89279,95019,100944,107061,113223,119594,126100,132927,139782,147013,154343,161786,169524,177398,185426,193631,201916,210454,218993,227727,236605,245640,254698,263837,273141,282545,292165,301756,311597,321429,331237,341184,
81050,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,5,8,12,16,31,45,60,85,109,146,189,254,307,379,470,592,720,874,1053,1213,1447,1689,1981,2287,2643,3000,3418,3902,4390,4962,5594,6237,6961,7719,8586,9501,10520,11604,12792,14008,15281,16637,18114,19638,21331,23052,24941,26866,28922,31088,33303,35641,38031,40596,43227,45944,48727,51650,54795,57944,61242,64698,68166,71728,75456,79245,83178,87116,91225,95382,99734,104060,108527,
81060,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,3,5,7,11,21,40,48,61,69,79,103,130,153,182,237,280,341,407,485,567,671,799,913,1065,1216,1398,1583,1811,2053,2346,2606,2936,3271,3659,4081,4569,5086,5608,6154,6726,7382,8073,8749,9490,10269,11174,12121,13017,14050,15111,16252,17453,18730,20063,21447,22913,24473,26117,27753,29509,31333,33208,35126,37126,39053,41030,43198,
81070,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,2,3,5,10,12,13,18,21,26,31,33,41,54,65,80,102,122,151,180,221,250,289,343,388,458,531,607,715,824,919,1042,1174,1327,1500,1657,1826,2033,2225,2458,2698,2976,3285,3606,3928,4298,4700,5103,5522,6033,6473,7011,7540,8137,8732,9364,10017,10689,11411,12193,13025,13901,
81080,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,4,4,5,9,11,14,17,18,25,31,37,48,59,72,86,99,115,141,164,195,225,252,289,336,379,435,477,534,604,676,755,838,912,1014,1121,1217,1326,1455,1603,1740,1897,2073,2242,2444,2669,2889,3135,3387,
81090,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,2,3,3,3,3,6,7,7,8,10,12,14,14,18,21,23,27,30,37,41,47,55,68,81,94,106,119,138,152,171,195,213,237,262,295,332,366,405,440,488,544,600,
81100,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,6,7,7,9,11,12,14,15,20,23,24,28,29,34,39,44,52,62,
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81120,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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81340,0,0,0,6,95,695,2665,7243,15885,29787,49741,75892,107480,145127,187449,234019,284345,336735,391113,447035,503593,560068,616592,672673,727753,781667,835075,886462,936746,985866,1033181,1079245,1123609,1166499,1207424,1247231,1285647,1322317,1357531,1391543,1424360,1455934,1486300,1515463,1543566,1570597,1596684,1621954,1646234,1669289,1691676,1713031,1733514,1753357,1772243,1790564,1808138,1825457,1841853,1857535,1872984,1887598,1901901,1915625,1928835,1941572,1954000,1966006,1977556,1988809,1999609,2010116,2020291,2030154,2039666,2048981,2058035,2066576,2075004,2083144,2091198,2099002,2106496,2113666,2120738,2127599,2134159,2140591,2146817,2152908,2158714,2164563,2170258,2175754,2181010,2186255,2191273,2196120,2200834,2205492,2210016,2214394,2218588,2222681,2226751,2230794,2234764,2238513,2242276,2245852,2249354,2252777,2256287,2259596,2262742,2265951,2269039,2272088,2275075,
81350,0,0,0,0,3,34,192,706,2031,4811,9587,16991,27642,41866,59373,80801,105665,133828,165068,198691,234513,272209,311532,352011,393527,435800,478329,521296,564173,606802,649189,690854,732078,772593,812424,851806,890576,928266,964735,1000626,1035794,1070023,1103510,1135864,1167117,1197830,1227205,1255875,1283944,1311107,1337535,1363072,1387912,1411966,1435322,1458177,1480108,1501699,1522521,1542553,1562033,1581047,1599544,1617557,1635191,1652223,1668537,1684535,1699892,1714939,1729640,1743985,1757987,1771390,1784509,1797250,1809619,1821632,1833257,1844498,1855542,1866401,1876844,1887097,1897062,1906894,1916405,1925739,1934881,1943670,1952276,1960682,1968969,1977003,1984732,1992138,1999412,2006559,2013600,2020389,2027049,2033788,2040146,2046455,2052727,2058709,2064499,2070141,2075790,2081213,2086631,2091869,2097039,2102173,2107226,2112010,2116753,2121372,2126010,
81360,0,0,0,0,0,0,1,22,96,299,768,1706,3354,6044,9903,15256,22225,30854,41594,54275,69089,85394,103871,123893,145605,168954,193421,218989,245747,273653,302157,331393,361155,391283,421694,452345,483445,514571,545461,575972,606289,636796,666723,696587,725742,754854,783541,811707,839282,866490,893552,920046,946196,972002,997199,1022015,1046125,1069835,1093132,1115849,1138263,1159899,1181290,1202346,1222821,1242782,1262351,1281474,1300357,1318741,1336692,1354279,1371707,1388722,1405027,1421141,1437073,1452489,1467660,1482421,1496938,1511011,1524764,1538285,1551605,1564676,1577327,1589915,1602346,1614175,1625867,1637474,1648735,1659655,1670498,1681088,1691282,1701411,1711252,1720879,1730416,1739794,1749034,1757990,1766845,1775486,1784010,1792264,1800411,1808347,1816205,1823830,1831289,1838602,1845810,1852789,1859668,1866605,1873253,
81370,0,0,0,0,0,0,0,0,1,3,13,41,102,246,510,967,1735,2849,4415,6539,9222,12654,16939,22047,28062,34994,42809,51536,61294,72053,83745,96116,109496,123611,138633,154184,170395,187260,204537,222655,240999,259805,278801,298184,318133,338233,358620,379136,399589,420325,440960,461656,482417,503186,523909,544503,565198,585561,606004,626249,646362,666343,686231,705937,725263,744529,763510,782419,801199,819556,837758,855674,873366,890688,908045,925143,941968,958596,975172,991675,1007697,1023595,1038943,1054107,1069348,1083980,1098715,1113197,1127485,1141608,1155529,1169343,1182754,1195969,1208911,1221725,1234079,1246478,1258664,1270594,1282505,1294319,1305903,1317500,1328741,1339630,1350334,1361164,1371857,1382241,1392393,1402289,1412331,1421833,1431464,1441059,1450383,1459684,1468661,
81380,0,0,0,0,0,0,0,0,0,0,0,3,9,22,56,118,225,486,816,1293,2041,3040,4344,6048,8178,10825,13838,17483,21689,26490,31902,37977,44507,51711,59613,68192,77320,87121,97366,108252,119634,131294,143590,156311,169478,182901,196932,211123,225584,240454,255570,271013,286538,302322,318361,334661,350766,366995,383443,399904,416185,432640,449043,465650,482009,498589,515027,531604,547971,564269,580516,596761,612923,628801,644693,660293,675819,691445,706791,722190,737281,752063,766880,781567,795914,810523,824616,838782,852713,866463,880021,893579,906945,920206,933300,946277,959185,971859,984425,996645,1008998,1021062,1032905,1044751,1056527,1067995,1079383,1090500,1101626,1112606,1123330,1134056,1144540,1154846,1165216,1175391,1185473,1195238,1205032,
81390,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,22,49,84,139,239,418,691,1035,1479,2143,2929,3967,5262,6804,8560,10722,13251,16100,19242,22706,26733,30920,35527,40717,46235,52090,58412,65092,72345,79956,87758,96046,104584,113223,122278,131662,141486,151601,161861,172306,183001,194014,205080,216413,227969,239622,251456,263343,275432,287752,299855,312150,324429,336996,349458,361966,374539,387388,400145,412717,425344,437898,450566,463338,476130,488737,501367,513940,526425,538984,551362,563794,576192,588582,600809,613056,625262,637217,649106,660826,672455,684136,695912,707269,718693,730244,741549,752811,763818,774802,786010,796890,807784,818265,828840,839434,849954,860449,870497,880464,890564,900537,910571,
81400,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,5,11,21,36,62,109,183,281,423,587,827,1134,1522,2044,2645,3363,4226,5247,6387,7804,9368,11057,13060,15165,17590,20130,22979,26001,29239,32666,36419,40378,44627,49023,53611,58712,63873,69333,74890,80723,86844,93189,99664,106227,113058,120089,127335,134675,142206,149822,157580,165456,173565,181767,190108,198412,207047,215776,224502,233464,242472,251356,260277,269536,278556,287782,296831,306205,315485,324847,334223,343545,352813,362329,371887,381395,390776,400362,409744,419389,428812,438110,447557,456962,466263,475617,484879,494305,503679,513056,522083,531305,540430,549568,558707,567705,576803,585810,594732,603664,612430,
81410,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,4,5,11,15,24,41,65,101,142,198,272,395,529,673,885,1126,1436,1776,2183,2676,3258,3859,4577,5392,6303,7273,8406,9609,10884,12270,13812,15497,17223,19176,21195,23496,25837,28307,30978,33762,36714,39704,42887,46172,49456,52955,56658,60491,64255,68286,72392,76654,81132,85662,90171,94868,99745,104749,109910,115004,120340,125720,131219,136692,142288,147918,153639,159353,165253,171341,177322,183383,189663,195904,202073,208310,214508,220892,227210,233532,239932,246493,252838,259353,266027,272578,279346,285981,292780,299565,306302,313135,319828,326616,333269,339944,346731,
81420,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,3,7,12,19,31,47,63,89,122,161,196,258,323,415,527,664,814,1037,1274,1539,1868,2251,2643,3051,3549,4141,4769,5447,6190,7019,7953,8963,10058,11186,12396,13690,15072,16530,18116,19808,21479,23313,25159,27231,29408,31651,33874,36389,38763,41322,43978,46823,49655,52522,55569,58727,61911,65187,68504,71900,75380,78932,82507,86219,89991,93935,97931,101926,105894,109923,114093,118281,122678,127009,131515,135998,140582,145280,149849,154493,159155,164083,168878,173824,178713,183681,188700,193628,198573,203637,208624,213712,218711,
81430,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,5,6,10,15,24,34,47,61,89,123,162,198,259,302,367,446,562,684,835,1007,1230,1475,1716,1997,2305,2667,3005,3427,3901,4388,4939,5493,6147,6777,7516,8305,9128,10068,11000,11976,13054,14133,15228,16444,17676,18995,20415,21830,23338,24875,26542,28300,30023,31891,33717,35653,37661,39781,42037,44211,46503,48813,51239,53701,56205,58698,61392,64019,66706,69501,72314,75124,78028,80924,83866,86861,89946,93099,96274,99525,102734,105968,109252,112706,116037,119481,122890,
81440,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,5,7,9,13,18,27,39,53,69,87,107,140,175,215,260,323,386,478,566,670,777,889,1045,1184,1379,1606,1812,2020,2273,2568,2861,3198,3510,3891,4299,4714,5176,5662,6178,6724,7265,7871,8542,9222,9935,10692,11449,12237,13124,14044,15015,15975,16982,18000,19093,20177,21402,22622,23843,25097,26493,27802,29216,30614,32158,33654,35225,36813,38506,40120,41800,43524,45270,47183,49010,50955,52950,54808,56757,58734,
81450,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,3,5,5,7,11,14,19,23,27,42,52,63,72,86,110,141,168,193,235,283,335,386,441,518,598,673,751,846,936,1041,1173,1304,1448,1599,1751,1943,2144,2345,2535,2781,3015,3279,3562,3859,4211,4562,4881,5229,5626,6029,6465,6921,7393,7854,8376,8888,9524,10049,10686,11320,11967,12650,13373,14127,14889,15615,16383,17170,18025,18892,19810,20693,21603,22532,
81460,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,2,5,6,8,10,11,15,19,29,33,39,46,56,66,74,81,97,108,121,140,154,170,209,235,270,303,342,369,407,456,501,550,598,664,739,827,917,995,1103,1204,1303,1443,1595,1722,1857,1999,2176,2352,2543,2749,2934,3135,3340,3542,3790,4029,4264,4520,4785,5060,5322,5645,5994,6326,
81470,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,4,5,7,9,12,17,18,19,25,29,35,41,46,53,60,72,81,95,113,125,142,157,179,196,225,252,276,306,335,368,407,442,487,510,553,600,660,720,792,846,921,1015,1077,1151,1238,1330,1414,1518,1609,
81480,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,2,2,3,7,8,9,9,10,13,13,15,17,19,21,27,33,35,40,47,54,61,69,77,83,89,93,103,116,125,137,154,165,182,195,212,227,
81490,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,3,3,3,3,5,7,8,8,8,8,10,10,10,11,11,13,14,15,
81500,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
81510,0,11,464,3774,15358,39965,80132,134921,202677,279658,362407,448852,535808,622745,707704,789808,869668,945761,1018495,1087043,1152127,1213065,1270547,1324921,1376366,1424940,1470472,1513339,1553785,1591636,1627733,1661490,1693159,1723298,1751950,1779010,1804667,1828907,1851981,1873425,1894100,1913693,1932289,1950080,1967201,1983234,1998387,2012952,2027022,2040453,2053153,2065330,2077075,2088099,2098628,2108906,2118733,2128061,2137075,2145829,2154165,2162073,2169760,2177196,2184468,2191279,2197792,2204128,2210147,2216128,2221848,2227293,2232729,2237830,2242722,2247488,2252146,2256699,2261131,2265347,2269492,2273484,2277478,2281281,2284999,2288476,2291844,2295162,2298353,2301545,2304638,2307566,2310447,2313195,2315983,2318767,2321334,2323847,2326394,2328780,2331095,2333439,2335657,2337802,2340068,2342203,2344157,2346122,2347999,2349946,2351781,2353592,2355397,2357115,2358786,2360396,2362075,2363646,2365217,
81520,0,0,2,53,399,1885,6139,14688,28622,49092,75772,108500,147123,190574,237282,287244,339233,393093,447543,502408,557079,611038,664415,717037,768459,819064,867835,915364,961199,1005321,1048054,1089470,1129306,1167446,1204265,1239947,1274420,1307568,1339501,1369946,1399537,1427728,1454956,1481306,1506428,1530361,1553703,1576110,1597672,1618743,1639016,1658286,1677010,1694969,1712256,1729303,1745615,1761413,1776668,1791322,1805537,1819446,1832820,1845833,1858238,1870389,1881990,1893237,1904259,1914766,1924985,1935097,1944773,1954063,1963202,1972041,1980663,1989224,1997250,2005175,2012896,2020441,2027797,2034931,2041854,2048613,2055151,2061555,2067879,2073917,2079938,2085610,2091297,2096713,2102050,2107156,2112115,2117181,2121946,2126702,2131291,2135814,2140393,2144728,2148901,2153026,2157050,2161107,2164902,2168677,2172448,2176060,2179645,2183075,2186387,2189747,2193047,2196330,2199523,
81530,0,0,0,1,15,156,690,2144,5346,10749,19336,31579,47624,67288,90875,117971,148320,181107,216137,253430,292049,331613,371755,412420,454040,495538,536829,577613,618199,658432,698034,737107,775327,812874,849599,885621,920591,954579,987417,1019490,1050823,1081343,1111089,1139732,1167975,1195162,1221657,1247287,1272239,1296302,1319641,1342336,1364280,1385829,1406607,1426746,1446348,1465571,1484120,1502208,1519898,1536759,1553262,1569453,1585093,1600251,1615143,1629372,1643351,1657115,1670423,1683312,1695906,1708107,1720166,1731768,1743334,1754239,1765130,1775748,1786045,1795982,1805734,1815261,1824546,1833604,1842472,1850985,1859302,1867273,1875395,1883251,1890921,1898414,1905709,1912928,1919814,1926824,1933554,1940167,1946602,1953014,1959094,1965280,1971125,1976820,1982471,1987879,1993346,1998684,2003795,2009008,2014019,2018940,2023841,2028684,2033295,2037871,2042449,
81540,0,0,0,0,0,7,23,125,419,1093,2504,4865,8542,13810,20818,29888,41200,54642,70048,87321,106508,127604,150258,174130,199014,225188,252230,280302,308734,337904,367401,397276,427082,457014,486810,516488,546341,575804,605144,634128,662975,691121,718839,746365,773514,799989,826254,851816,877098,901840,926169,949855,973566,996313,1018608,1040499,1062054,1083346,1103999,1124260,1144024,1163319,1182063,1200660,1218522,1236009,1253041,1269947,1286522,1302745,1318487,1333929,1348901,1363838,1378383,1392477,1406494,1419882,1433219,1446260,1459062,1471602,1484081,1496010,1507662,1519028,1530311,1541519,1552271,1562981,1573337,1583589,1593563,1603384,1612997,1622431,1631840,1640866,1649714,1658452,1666902,1675342,1683556,1691710,1699591,1707388,1715163,1722682,1730107,1737466,1744559,1751520,1758348,1765127,1771804,1778281,1784671,1790986,1797282,
81550,0,0,0,0,0,0,0,1,5,26,96,257,557,1100,2024,3457,5353,7964,11452,15757,21002,27435,34818,43135,52573,62918,74304,86651,99951,114229,129121,144682,160791,177684,195268,213134,231397,250442,269547,288936,308653,328475,348575,368921,389310,409722,430066,450198,470628,490859,511202,531134,550948,570775,590581,609989,629175,648529,667644,686291,704705,723029,740875,758735,776470,794112,811458,828390,845195,861756,878266,894251,910074,925685,940739,956000,970860,985677,1000365,1014582,1028690,1042576,1056364,1069938,1083238,1096414,1109431,1122111,1134782,1147055,1159400,1171594,1183324,1194642,1205933,1217197,1228166,1239132,1249905,1260466,1270737,1280988,1291237,1301045,1310794,1320509,1330154,1339469,1348540,1357620,1366461,1375299,1384117,1392652,1401157,1409526,1417726,1425815,1433817,
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81840,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,2,3,3,4,5,6,11,15,18,19,20,25,29,35,44,52,62,67,79,85,101,109,131,151,165,185,203,231,264,301,329,363,391,421,457,496,537,584,647,703,761,819,875,937,1025,1096,1179,1263,1353,1435,1535,1636,1738,1826,1925,2029,
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81860,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,3,3,3,3,3,3,3,3,3,3,4,4,6,6,7,8,8,8,8,8,8,9,
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81930,0,0,0,0,0,0,0,1,4,11,28,74,148,327,610,1046,1718,2651,3958,5549,7605,10115,13111,16578,20626,25291,30463,36187,42441,49256,56584,64461,72701,81345,90611,100227,110053,120324,130814,141718,152649,164096,175831,187618,199505,211587,224006,236574,249313,262144,274892,287670,300415,313171,325926,338850,351606,364428,377281,389959,402623,415023,427593,439950,452553,465245,477351,489581,501838,513850,525885,537854,549463,561045,572587,584043,595264,606537,617617,628741,639666,650363,661172,671802,682196,692480,702903,713136,723310,733188,743159,753112,762820,772329,781642,791253,800416,809501,818602,827508,836396,845342,853884,862542,870915,879214,887518,895794,904036,912003,920005,927846,935536,943300,951016,958480,965929,973333,980669,
81940,0,0,0,0,0,0,0,0,0,1,4,6,15,32,75,155,274,460,748,1175,1736,2498,3427,4656,6131,7857,9873,12266,14936,17971,21281,24996,28866,33183,37880,42910,48197,53872,59864,66135,72634,79418,86487,93757,101315,108956,116876,124815,133275,141722,150375,159108,168104,177032,186065,195368,204644,213910,223524,232974,242464,252230,261929,271720,281370,291230,300945,310842,320588,330445,340252,350047,359743,369580,379251,388879,398442,408022,417571,426974,436429,445877,455297,464562,473829,482937,492098,501166,510216,519128,527899,536769,545558,554148,562804,571421,579975,588555,596790,605147,613533,621716,629755,637864,645775,653553,661407,669164,677023,684800,692261,699845,707411,714811,722262,729509,736677,743759,750958,
81950,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,14,47,79,138,233,373,555,797,1105,1527,2051,2729,3496,4375,5402,6589,7893,9421,11154,13135,15239,17637,20165,22870,25766,28922,32157,35695,39474,43486,47470,51696,56235,60942,65745,70699,75890,81079,86432,91879,97620,103420,109345,115357,121502,127723,134072,140373,146696,153135,159715,166467,173086,179875,186784,193615,200589,207592,214665,221752,228789,236019,243223,250361,257456,264555,271802,279039,286144,293525,300827,308000,315128,322210,329247,336325,343537,350632,357796,364788,371697,378643,385567,392550,399385,406328,413056,419978,426981,433622,440275,446967,453594,460231,466902,473488,479895,486380,492899,499460,505910,512217,518514,
81960,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,11,13,31,50,83,135,219,327,453,611,824,1084,1455,1837,2332,2988,3654,4463,5348,6320,7410,8680,10067,11561,13135,14873,16841,18925,21061,23434,25849,28464,31231,34192,37187,40281,43651,47039,50568,54327,58084,61936,65946,70157,74215,78574,83097,87600,92124,96949,101869,106660,111623,116666,121638,126726,131883,137100,142505,147867,153240,158609,164209,169663,175265,180871,186340,192079,197673,203230,208963,214694,220415,226174,231892,237678,243375,249246,255087,260866,266694,272472,278304,284119,289957,295752,301496,307355,313121,318905,324702,330500,336330,341958,347608,353300,358942,364584,370198,375825,381497,387063,
81970,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,9,13,24,36,56,85,131,191,251,346,468,618,809,1029,1293,1620,1989,2437,2915,3461,4074,4764,5538,6429,7430,8470,9575,10802,12083,13453,14937,16484,18159,19902,21853,23783,25791,27939,30133,32397,34853,37381,40034,42709,45508,48386,51302,54348,57474,60591,63851,67187,70637,74109,77664,81302,84943,88664,92502,96334,100225,104136,107981,111924,116056,120236,124489,128604,132838,137032,141297,145546,149793,154178,158490,162893,167390,171858,176317,180837,185283,189891,194411,198993,203556,208163,212704,217130,221719,226328,231065,235784,240362,245069,249600,254208,258804,263443,268129,
81980,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,8,10,17,29,39,60,80,108,150,197,258,357,466,592,741,901,1104,1355,1633,1941,2286,2681,3106,3578,4098,4673,5281,5982,6689,7421,8241,9185,10176,11207,12304,13478,14631,15910,17223,18590,19989,21536,23085,24692,26419,28108,29818,31640,33615,35693,37762,39922,42010,44183,46472,48811,51182,53617,55928,58476,61016,63597,66264,68871,71660,74404,77168,79992,82999,85884,88803,91889,94869,97839,100882,103862,106987,110217,113414,116633,119771,123069,126306,129567,132819,136239,139621,142964,146416,150060,153531,156877,160233,163611,167128,
81990,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,6,9,15,23,31,45,59,76,100,128,178,221,286,365,449,553,649,785,935,1088,1281,1487,1735,2003,2279,2580,2917,3287,3698,4102,4568,5048,5511,6080,6621,7246,7905,8647,9317,10058,10873,11726,12672,13610,14560,15589,16664,17698,18747,19857,21012,22258,23539,24823,26189,27613,29072,30527,31992,33493,35048,36635,38260,39945,41610,43274,45003,46769,48560,50408,52209,54089,56030,57937,59984,61990,64044,66190,68364,70470,72636,74760,76995,79192,81574,83794,86047,88266,90599,
82000,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,7,10,14,19,23,31,40,51,62,84,109,131,159,212,257,300,356,410,484,543,628,714,816,956,1100,1224,1374,1544,1715,1916,2110,2326,2546,2804,3058,3338,3637,3981,4338,4685,5091,5485,5893,6320,6784,7275,7755,8264,8843,9421,9966,10620,11233,11896,12601,13290,14025,14760,15560,16336,17132,17997,18891,19773,20724,21672,22630,23627,24612,25620,26660,27713,28829,29904,31017,32145,33301,34464,35612,36837,38053,39282,
82010,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,4,7,7,8,9,9,16,23,29,38,46,70,88,110,127,143,168,196,218,241,281,309,355,405,454,520,585,668,745,826,919,1016,1120,1223,1342,1468,1614,1765,1932,2087,2286,2491,2696,2898,3113,3336,3575,3820,4084,4382,4674,4970,5259,5577,5898,6242,6611,7023,7383,7770,8173,8560,8980,9421,9867,10323,10824,11339,11829,12387,12909,13486,14006,14597,15255,
82020,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,8,12,15,19,25,31,37,50,63,78,81,93,110,123,141,157,183,201,224,258,279,310,349,378,424,463,507,556,616,664,718,779,848,917,993,1073,1150,1235,1313,1411,1516,1617,1745,1854,1981,2117,2233,2360,2499,2652,2803,2971,3148,3314,3511,3688,3889,4092,
82030,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,4,6,7,8,8,9,13,13,17,22,25,35,37,44,50,60,67,72,81,89,100,114,127,144,156,165,175,196,213,230,245,268,283,309,333,359,383,411,434,467,512,536,574,
82040,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,4,4,4,5,6,6,7,7,7,10,11,12,12,13,13,15,20,23,
82050,1,193,2928,15034,42820,87830,148406,219962,299221,382053,465913,549154,630119,708116,782502,853673,920814,984286,1044480,1100865,1154114,1204451,1251455,1295843,1337804,1377320,1414525,1449751,1482676,1513921,1543230,1571178,1597989,1623266,1647322,1670490,1692065,1712749,1732558,1751386,1769113,1786047,1802177,1817712,1832841,1847238,1860971,1874226,1886937,1899187,1910756,1921948,1932744,1943285,1953333,1963145,1972453,1981364,1990074,1998483,2006582,2014640,2022214,2029459,2036459,2043340,2049761,2056232,2062551,2068642,2074633,2080336,2085979,2091456,2096741,2101929,2106973,2111783,2116512,2121007,2125500,2129776,2134010,2138001,2141946,2145906,2149757,2153642,2157349,2160888,2164407,2167777,2171093,2174379,2177511,2180625,2183732,2186642,2189679,2192529,2195322,2198104,2200726,2203275,2205841,2208332,2210780,2213270,2215658,2218062,2220401,2222672,2224947,2227120,2229217,2231183,2233245,2235290,2237292,
82060,0,3,69,686,3623,11214,25146,46618,75532,111103,152292,198409,247616,298797,351041,403911,456858,509209,560729,611099,660474,708410,754947,800249,843824,885796,926007,964807,1002066,1038035,1072455,1105788,1137791,1168505,1197796,1225926,1253235,1279362,1304903,1329067,1352410,1375018,1396683,1417720,1438105,1457616,1476166,1494233,1511551,1528560,1545037,1561048,1576323,1591084,1605399,1619344,1632721,1645620,1658279,1670468,1682604,1694129,1705290,1716146,1726791,1737120,1747128,1756856,1766279,1775413,1784371,1792878,1801295,1809592,1817639,1825633,1833236,1840722,1848102,1855204,1862100,1868917,1875562,1882125,1888379,1894459,1900353,1906261,1911884,1917662,1923121,1928485,1933736,1938940,1943958,1948977,1953775,1958420,1963230,1967843,1972246,1976619,1980996,1985266,1989389,1993466,1997564,2001516,2005371,2009172,2012925,2016423,2019895,2023358,2026783,2030245,2033566,2036850,2040053,
82070,0,0,6,50,490,2081,6011,13308,24708,40758,61262,86038,114494,146172,180714,217405,255398,294524,334508,374750,415148,455464,495800,535341,574049,611991,649142,685591,720872,755482,789097,821845,853758,884537,914305,943213,971243,998841,1025293,1051089,1075902,1100123,1123750,1146460,1168505,1189968,1210831,1230686,1249957,1269007,1287277,1305084,1322399,1339311,1355776,1371748,1387381,1402441,1417017,1431230,1445056,1458282,1471397,1484268,1496931,1508986,1520914,1532765,1544258,1555382,1566025,1576338,1586370,1596535,1606348,1615811,1625015,1633978,1642901,1651584,1659807,1668277,1676480,1684537,1692168,1699761,1707259,1714618,1721755,1728836,1735773,1742212,1748891,1755363,1761694,1767922,1773950,1779820,1785715,1791349,1796998,1802542,1808136,1813456,1818593,1823749,1828792,1833688,1838464,1843309,1847966,1852579,1857112,1861568,1865985,1870320,1874548,1878552,1882715,
82080,0,0,0,2,29,167,780,2147,4854,9356,16095,25547,37163,51544,68514,87922,109159,132120,156847,182636,209608,237593,266109,295088,324365,353998,383365,412621,441938,471129,499856,528459,556581,584014,611232,637800,664271,690106,715373,740370,764345,788258,811302,833797,855889,877471,898706,919801,940033,959847,979110,998181,1016601,1034766,1052360,1069491,1086264,1102377,1118521,1134308,1149682,1164648,1179122,1193502,1207545,1221154,1234512,1247450,1260291,1272650,1284968,1297025,1308803,1320442,1331878,1342971,1353840,1364513,1374896,1384921,1395034,1404831,1414517,1423973,1433269,1442291,1451055,1459677,1468323,1476521,1484694,1492777,1500660,1508448,1516105,1523653,1531006,1538346,1545511,1552307,1559090,1565865,1572473,1578997,1585348,1591726,1598009,1604238,1610467,1616337,1622134,1627879,1633572,1639082,1644620,1650095,1655336,1660524,1665636,
82090,0,0,0,0,0,4,28,130,423,1022,2154,4009,6722,10445,15464,21630,29115,38157,48386,60024,72631,86375,101372,117113,133565,150941,168939,187475,206506,225749,245654,265614,285735,305790,326024,346538,367114,387297,407734,427643,447668,467634,487340,506949,526372,545508,564342,583106,601536,619641,637370,654988,672324,689371,706077,722674,739185,755411,771132,786815,802134,817366,832368,846843,861087,875060,888942,902685,916194,929507,942429,955086,967339,979673,991682,1003447,1015093,1026600,1038042,1049302,1060283,1071041,1081762,1092251,1102513,1112686,1122615,1132483,1142013,1151401,1160849,1169970,1179144,1188090,1196855,1205509,1213917,1222345,1230587,1238657,1246788,1254812,1262623,1270288,1277800,1285087,1292352,1299590,1306733,1313695,1320677,1327661,1334471,1341082,1347605,1353987,1360273,1366522,1372547,
82100,0,0,0,0,0,0,2,23,76,200,505,1040,2003,3426,5447,8178,11725,15984,21140,27287,34128,42247,51098,60757,71110,82359,94416,106982,120013,133669,147964,162600,177304,192765,208416,224198,239926,255941,272043,288490,304974,321452,337720,354282,370623,386958,403365,419684,435835,451777,467761,483515,499019,514584,529903,544975,560068,575072,589862,604240,618639,632778,646854,660718,674392,687726,700862,714057,727037,739877,752393,764781,777016,789139,801049,812972,824592,835991,847245,858256,869332,880248,890838,901257,911724,922066,932208,942197,951935,961732,971365,980945,990286,999550,1008663,1017603,1026509,1035223,1043655,1052096,1060463,1068668,1076915,1084821,1092712,1100536,1108335,1115909,1123343,1130742,1138072,1145304,1152446,1159441,1166388,1173283,1180126,1186647,1193148,
82110,0,0,0,0,0,0,1,4,11,34,98,190,391,757,1333,2231,3482,5189,7308,9856,13031,16694,21104,25997,31542,37592,44307,51666,59422,67698,76631,85920,95755,105973,116346,127152,138274,149892,161557,173373,185226,197529,210060,222779,235484,248287,261035,274000,287020,299938,312992,325900,339045,351956,364911,377834,390724,403548,416335,429019,441549,454060,466474,479046,491267,503346,515317,527448,539237,550906,562265,573732,585079,596296,607492,618488,629143,640028,650820,661401,671837,682367,692622,702695,712691,722535,732462,742122,751677,761185,770422,779796,788956,797911,806664,815354,824028,832678,841223,849673,858040,866186,874354,882441,890363,898205,906034,913755,921479,929112,936352,943610,950876,958133,965397,972509,979467,986430,993338,
82120,0,0,0,0,0,0,0,0,1,3,5,15,48,105,229,408,710,1177,1777,2598,3595,4890,6488,8337,10636,13205,16138,19594,23246,27259,31755,36629,41824,47500,53416,59652,66299,73183,80291,87739,95456,103311,111678,120145,128672,137582,146583,155519,164822,173970,183260,192754,202248,211914,221779,231473,241287,251139,260896,270949,280909,290859,301021,310692,320840,330814,340827,350631,360408,370295,380195,389927,399560,409000,418519,428164,437474,446915,456312,465570,474819,483912,492953,502015,511014,520096,529087,537954,546861,555336,564055,572741,581249,589826,597961,606143,614138,622293,630349,638355,646230,654176,661933,669656,677351,684938,692466,699770,707076,714173,721348,728458,735779,742752,749804,756707,763644,770541,777232,
82130,0,0,0,0,0,0,0,0,0,0,1,1,4,6,12,34,67,137,248,395,602,899,1311,1827,2428,3189,4081,5143,6421,7879,9605,11490,13637,15887,18448,21195,24127,27305,30757,34355,38154,42395,46656,51208,55820,60732,65832,71218,76562,82124,87898,93699,99772,105921,112049,118362,124886,131437,138224,145005,151732,158563,165538,172387,179436,186551,193779,200938,208167,215376,222621,229937,237321,244756,252074,259469,266743,274088,281226,288501,295907,303241,310497,317721,324814,332105,339384,346634,353976,361090,368235,375241,382429,389475,396516,403585,410493,417494,424416,431377,438313,445213,451884,458533,465209,471803,478373,484952,491346,497918,504379,510932,517371,523647,529975,536228,542449,548665,554853,
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82970,0,1,11,212,1295,4451,10943,22072,37796,58564,83827,112453,144210,178456,214993,252542,290074,328454,366478,404297,442129,478856,515327,550881,585565,619094,651679,683713,714733,744704,773684,801330,828424,854447,879809,904474,928230,950809,972719,994161,1014617,1034652,1053932,1072630,1090622,1108092,1125096,1141592,1157575,1173089,1188109,1202573,1216657,1230266,1243604,1256570,1269150,1281414,1293201,1304732,1315958,1326723,1337347,1347607,1357712,1367474,1377128,1386500,1395573,1404295,1412859,1421363,1429604,1437599,1445530,1453150,1460584,1467899,1474802,1481807,1488749,1495324,1501749,1507973,1514174,1520239,1526345,1532270,1537793,1543243,1548685,1554006,1559317,1564560,1569559,1574694,1579639,1584431,1589146,1593667,1598181,1602590,1606932,1611092,1615207,1619383,1623364,1627328,1631189,1635067,1638824,1642586,1646185,1649732,1653205,1656750,1660160,1663550,1666933,
82980,0,0,0,18,153,691,2201,5326,10660,18563,29212,42639,58874,77532,98527,121274,145680,171289,197828,225028,252962,280470,308430,336351,364240,391511,418885,445817,472593,498449,523908,549037,573324,596756,620085,642771,664938,686748,708139,728359,748641,768104,787009,805339,823510,841058,858353,874749,891007,906888,922486,937433,952035,966315,980316,993948,1007082,1019795,1032407,1044522,1056611,1068416,1079746,1090871,1101816,1112487,1122819,1133033,1142810,1152594,1162230,1171553,1180495,1189386,1198048,1206696,1214800,1222854,1230871,1238766,1246505,1253948,1261228,1268480,1275478,1282450,1289216,1295933,1302413,1308905,1315045,1321068,1327127,1332969,1338555,1344312,1349806,1355313,1360746,1366148,1371448,1376598,1381666,1386580,1391336,1396046,1400703,1405328,1409904,1414303,1418671,1422967,1427212,1431252,1435425,1439423,1443417,1447300,1451254,
82990,0,0,0,0,4,50,240,697,1716,3605,6571,10833,16578,23827,32852,43199,54911,67861,82087,97135,113247,129884,147418,165286,183842,202720,221764,241197,260660,280005,299280,318674,337731,356773,375517,394097,412522,430826,448698,466415,483927,501244,518105,534533,550869,567077,582540,597712,612817,627547,642047,656284,670057,683940,697311,710457,723375,736015,748348,760555,772405,784148,795508,806804,817762,828444,838903,849220,859413,869477,879326,888819,897992,907259,916195,925140,934033,942600,951104,959410,967526,975388,983262,990911,998385,1005800,1013137,1020222,1027262,1034289,1041031,1047732,1054191,1060535,1066937,1073191,1079400,1085395,1091219,1097078,1102762,1108458,1114109,1119626,1125027,1130321,1135611,1140664,1145698,1150732,1155652,1160410,1165035,1169735,1174374,1178942,1183426,1187862,1192153,
83000,0,0,0,0,0,7,45,173,508,1202,2417,4332,7121,10757,15465,21252,28112,35936,44792,54704,65554,77126,89613,102698,116317,130352,144953,159812,174858,190037,205263,220957,236694,252569,268169,283733,299306,314926,330367,345809,360840,376058,390895,405720,420430,434536,448736,462744,476495,490312,503638,516739,529794,542392,555009,567322,579236,591070,602612,614266,625501,636665,647688,658200,668789,679207,689495,699642,709525,719053,728639,738048,747263,756141,765121,773849,782485,790952,799332,807681,815762,823664,831561,839287,846836,854348,861624,868890,875970,883087,889922,896705,903288,909780,916314,922587,928806,934962,941079,947118,953031,958837,964549,970111,975756,981330,986594,991920,997090,1002259,1007226,1012291,1017186,1022036,1026719,1031542,1036073,1040587,1044990,
83010,0,0,0,0,0,4,12,47,128,310,692,1416,2545,4129,6293,9083,12594,16667,21646,27344,33874,40984,48733,57173,66195,75614,85528,95715,106378,117602,129043,140660,152416,164422,176659,188975,201389,213653,226086,238536,250996,263412,275800,288063,300386,312610,324642,336551,348651,360196,371882,383427,395089,406532,417797,428780,439860,450583,461225,471877,482289,492623,502785,512748,522734,532471,541989,551409,560802,569894,579040,587973,596817,605469,614050,622428,630570,638690,646630,654595,662387,670027,677568,685142,692438,699808,707066,714150,721116,727880,734652,741395,747960,754530,760900,767028,773138,779188,785236,791137,796946,802663,808295,813868,819416,824880,830249,835556,840745,845913,851100,856097,860976,865888,870696,875573,880194,884911,889343,
83020,0,0,0,0,0,0,2,7,16,59,162,355,657,1134,1918,3026,4451,6254,8533,11292,14495,18197,22361,27081,32338,38021,43969,50312,57281,64446,72031,79888,87917,96380,104866,113410,122254,131322,140570,149875,159240,168714,178141,187880,197569,207253,216871,226408,235905,245558,255115,264677,274189,283611,292895,302162,311441,320676,329803,338830,347867,356723,365428,374130,382575,391225,399675,408051,416333,424620,432695,440786,448623,456460,464110,471674,479205,486681,494089,501496,508750,515954,522926,529934,536772,543712,550498,557139,563676,570245,576746,583039,589273,595401,601527,607367,613164,618859,624647,630332,635898,641399,646941,652408,657870,663277,668526,673687,678928,684114,689105,694113,698959,703703,708501,713194,717812,722365,726728,
83030,0,0,0,0,0,0,0,0,0,4,15,44,101,207,408,739,1200,1815,2641,3648,4914,6479,8254,10367,12844,15625,18627,21970,25532,29524,33773,38272,43086,48200,53484,59057,64846,70568,76559,82779,89133,95533,101985,108659,115436,122366,129354,136502,143536,150530,157562,164651,171930,179094,186189,193348,200671,207875,215008,222262,229337,236300,243442,250667,257627,264607,271673,278611,285417,292435,299324,306084,312883,319401,325928,332645,339120,345562,351994,358335,364592,370891,377000,383134,389113,395169,400998,406900,412690,418410,424154,429794,435395,440926,446471,451888,457318,462714,468011,473191,478281,483495,488508,493488,498410,503212,508084,512978,517805,522457,527119,531667,536297,540784,545144,549571,554007,558287,562680,
83040,0,0,0,0,0,0,0,0,1,2,8,23,45,71,131,254,454,744,1102,1616,2255,3078,4041,5232,6578,8165,9957,11971,14150,16713,19437,22325,25412,28745,32353,36114,39952,44077,48324,52945,57560,62431,67369,72419,77602,82900,88306,93686,99248,104804,110332,115996,121767,127570,133438,139341,145399,151329,157184,162978,168997,174864,180882,186786,192686,198671,204504,210218,216141,222147,228035,233909,239807,245497,251280,256876,262638,268284,273851,279496,285046,290519,296011,301589,306982,312403,317754,323057,328241,333513,338560,343628,348725,353632,358669,363609,368577,373348,378307,383048,387779,392515,397166,401887,406480,411106,415637,420094,424546,428911,433181,437399,441622,445905,450118,454346,458493,462477,466555,
83050,0,0,0,0,0,0,0,0,0,0,0,2,4,11,24,64,105,200,340,573,842,1196,1644,2178,2887,3696,4616,5620,6888,8291,9797,11479,13285,15292,17389,19795,22346,24946,27742,30677,33762,36896,40175,43734,47361,51052,54861,58697,62823,66937,71155,75402,79807,84153,88589,93148,97609,102153,106819,111567,116182,120931,125594,130287,134982,139830,144692,149468,154289,159150,164014,168883,173620,178458,183239,188090,192857,197628,202292,207160,211900,216626,221259,225850,230537,235369,239986,244539,249087,253562,258066,262689,267146,271625,276036,280469,284893,289100,293463,297733,301963,306236,310236,314337,318497,322711,326785,330782,334727,338708,342608,346491,350415,354310,358144,362007,365775,369442,373068,
83060,0,0,0,0,0,0,0,0,0,0,0,1,2,3,9,18,34,59,106,163,261,389,548,769,1007,1334,1753,2249,2812,3476,4273,5176,6200,7267,8463,9777,11198,12689,14326,16036,17855,19816,21934,24076,26339,28681,31150,33669,36290,38970,41845,44739,47775,50737,53886,57063,60349,63601,66934,70303,73725,77089,80661,84132,87721,91407,94959,98679,102315,106092,109771,113451,117182,120931,124744,128497,132103,135893,139711,143620,147371,151155,154938,158738,162471,166260,169926,173767,177519,181268,185044,188757,192471,196106,199750,203377,207007,210639,214240,217833,221442,225119,228721,232249,235883,239423,242907,246435,249827,253249,256802,260200,263575,267011,270275,273653,276931,280208,283597,
83070,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,16,30,55,94,143,222,310,412,563,726,911,1165,1497,1867,2288,2806,3329,3971,4663,5426,6260,7128,8083,9142,10257,11436,12692,14015,15499,16966,18511,20126,21815,23509,25274,27202,29154,31104,33151,35262,37431,39607,41854,44252,46588,48987,51300,53759,56164,58695,61283,63884,66590,69226,71982,74718,77533,80318,83131,85927,88743,91507,94428,97276,100247,103209,106060,109038,111949,114740,117640,120610,123523,126465,129392,132371,135215,138204,141121,144055,146968,149868,152748,155654,158574,161553,164468,167344,170168,173010,175856,178724,181471,184289,187151,189916,192713,195481,198143,200859,203483,
83080,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,4,4,11,13,20,31,48,78,114,167,226,302,399,514,661,830,1031,1250,1489,1765,2099,2460,2880,3341,3823,4375,4948,5594,6258,6958,7721,8514,9359,10269,11181,12191,13262,14317,15450,16654,17840,19121,20405,21810,23177,24584,26050,27519,29070,30694,32266,33868,35572,37334,39055,40786,42507,44312,46049,47918,49828,51692,53556,55512,57465,59449,61471,63473,65517,67527,69538,71559,73538,75582,77671,79706,81738,83833,86020,88148,90225,92399,94543,96648,98746,100872,103005,105205,107362,109556,111728,113886,115976,118100,120268,122363,124509,126655,128756,130836,132935,
83090,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,5,12,20,31,50,66,94,127,163,210,270,349,445,563,685,821,966,1157,1356,1587,1836,2061,2357,2686,3025,3415,3806,4208,4695,5198,5716,6270,6850,7484,8127,8774,9485,10226,10974,11764,12572,13406,14241,15139,16099,17073,18022,19025,20064,21104,22209,23352,24446,25609,26740,27866,29097,30254,31470,32814,34102,35420,36752,38077,39407,40725,42116,43538,44986,46514,47924,49358,50880,52339,53829,55375,56849,58359,59866,61392,62938,64422,65980,67524,69121,70664,72264,73827,75431,77043,78653,80254,81816,83415,84993,
83100,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,6,7,10,18,26,35,46,64,81,103,127,163,202,252,297,359,421,519,626,726,864,978,1104,1265,1430,1600,1787,1999,2214,2442,2710,2988,3277,3598,3914,4263,4567,4955,5354,5764,6160,6602,7059,7539,8047,8595,9170,9718,10276,10876,11452,12112,12740,13362,14020,14716,15419,16151,16880,17623,18325,19063,19857,20644,21486,22310,23151,24010,24864,25784,26723,27637,28539,29437,30349,31292,32238,33228,34253,35260,36215,37218,38202,39269,40240,41280,42368,43419,44479,45560,46637,
83110,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,6,8,8,9,11,21,26,34,40,52,64,72,87,107,133,160,186,221,267,298,340,398,460,523,590,665,748,840,931,1026,1134,1270,1397,1535,1653,1814,1998,2184,2366,2545,2756,2951,3179,3408,3633,3859,4123,4375,4664,4949,5247,5590,5912,6232,6567,6875,7215,7527,7862,8227,8605,8997,9403,9820,10249,10707,11155,11606,12041,12535,12982,13475,13928,14408,14922,15438,15975,16466,17035,17576,18105,18645,19205,19751,20320,
83120,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,3,7,8,10,10,11,16,19,24,27,33,38,45,53,65,79,95,107,116,127,144,159,177,199,218,243,261,289,332,368,395,441,485,524,576,623,681,731,803,861,931,994,1078,1153,1246,1342,1414,1503,1595,1685,1783,1894,2008,2118,2238,2377,2489,2637,2781,2916,3041,3193,3363,3530,3689,3859,4020,4179,4326,4524,4735,4932,5120,5355,5535,
83130,2,784,8186,31475,73504,132550,203133,280425,361079,441766,520385,596080,668459,736955,801428,861914,918847,972096,1022529,1069765,1113749,1155258,1194099,1230424,1264845,1297220,1327574,1356214,1383143,1408929,1433346,1456555,1478310,1499258,1519013,1537757,1555706,1573054,1589521,1605178,1620122,1634417,1648102,1661355,1673968,1685963,1697452,1708529,1719080,1729371,1739561,1749407,1758643,1767707,1776270,1784612,1792635,1800328,1807916,1815240,1822254,1829046,1835587,1842076,1848471,1854460,1860231,1865920,1871486,1876835,1882077,1887194,1892123,1897024,1901696,1906376,1910776,1915133,1919463,1923654,1927638,1931522,1935510,1939267,1942896,1946435,1949926,1953280,1956661,1959891,1963144,1966372,1969423,1972372,1975345,1978242,1981047,1983833,1986545,1989126,1991736,1994239,1996775,1999175,2001532,2003897,2006167,2008473,2010651,2012830,2014930,2017035,2019019,2021084,2023017,2024921,2026752,2028644,2030503,
83140,0,21,526,3421,12037,28516,53806,86846,126797,171434,219062,269111,320425,371484,422056,472009,520447,567670,613191,657344,699341,739624,778194,815479,850791,884241,916669,947880,977586,1005972,1033228,1059235,1084031,1108040,1131257,1153323,1174424,1194736,1214065,1233057,1251484,1268874,1285872,1301978,1317512,1332646,1347241,1361431,1374920,1387969,1400690,1412876,1424838,1436368,1447505,1458205,1468724,1478779,1488598,1498142,1507377,1516453,1525143,1533746,1542106,1550162,1558078,1565729,1573285,1580755,1587810,1594698,1601494,1607998,1614337,1620519,1626571,1632546,1638345,1643954,1649410,1654902,1660212,1665473,1670636,1675588,1680449,1685215,1689850,1694300,1698655,1702992,1707131,1711302,1715501,1719411,1723365,1727196,1730979,1734602,1738231,1741811,1745321,1748846,1752283,1755598,1758890,1762100,1765283,1768378,1771391,1774337,1777289,1780212,1782980,1785678,1788429,1791081,1793651,
83150,0,2,56,639,3046,8923,19538,35650,56958,83255,113561,146940,182666,220139,258497,297812,336875,376048,414344,451882,488740,525020,559705,593504,626150,657983,688683,718605,747558,775510,802448,828581,853737,877885,901328,923936,945637,966538,986877,1006575,1025627,1043845,1061532,1078630,1095221,1111448,1127095,1142124,1156767,1170862,1184696,1198029,1211182,1223861,1236112,1247891,1259247,1270470,1281548,1292197,1302795,1312847,1322575,1332174,1341476,1350504,1359320,1367862,1376342,1384561,1392477,1400228,1407917,1415256,1422473,1429566,1436469,1443301,1449872,1456497,1462912,1468992,1475108,1480914,1486699,1492474,1498057,1503535,1508890,1514109,1519304,1524435,1529291,1534135,1538896,1543599,1548197,1552706,1557095,1561322,1565599,1569753,1573901,1577868,1581541,1585498,1589308,1593176,1596784,1600387,1603879,1607386,1610728,1614159,1617457,1620739,1623872,1626979,1630059,
83160,0,0,8,78,466,1820,4984,10644,19125,30701,45719,63649,84159,106783,131285,157281,184280,212137,240372,269022,297717,326207,354475,382597,410550,437991,464692,491019,516580,541518,566155,589971,613281,636062,658217,679888,700611,720903,740736,760194,778797,797110,815184,832428,849010,865310,881188,896891,911872,926534,940753,954586,968125,981221,994009,1006454,1018732,1030552,1042073,1053336,1064457,1075185,1085779,1095861,1105968,1115906,1125677,1134949,1144065,1152987,1161631,1170029,1178506,1186848,1194890,1202615,1210392,1217980,1225321,1232564,1239685,1246638,1253270,1259891,1266497,1272886,1279217,1285311,1291294,1297154,1302840,1308410,1314078,1319578,1324920,1329969,1335027,1340291,1345360,1350256,1355059,1359806,1364508,1369012,1373614,1378033,1382459,1386841,1391013,1395055,1399225,1403243,1407279,1411125,1414921,1418792,1422500,1426249,1429984,
83170,0,0,0,3,29,195,666,1804,4063,7503,12477,19256,27658,37774,49635,62711,77248,93092,109836,127511,145880,164637,184134,203784,223652,243775,263713,283742,303794,323463,343022,362509,381782,400865,419703,438070,456122,474066,491550,508739,525487,541975,558094,573922,589601,604942,619846,634373,648832,662805,676579,689803,703113,715964,728628,741009,753115,765036,776743,788253,799275,810264,820894,831341,841559,851527,861182,870913,880469,889602,898879,907725,916498,924951,933306,941655,949674,957637,965579,973196,980778,988019,995240,1002332,1009251,1016025,1022919,1029459,1035960,1042233,1048591,1054732,1060796,1066734,1072683,1078349,1084001,1089714,1095175,1100494,1105818,1111126,1116228,1121346,1126264,1131104,1135882,1140597,1145224,1149832,1154569,1159027,1163416,1167765,1171991,1176293,1180419,1184546,1188627,
83180,0,0,0,0,9,44,179,553,1383,2876,5270,8700,13295,19014,26151,34320,43735,54330,65689,78119,91061,104769,119285,134287,149731,165495,181323,197356,213616,229807,246302,262631,278778,294960,310867,326780,342581,358047,373248,388419,403650,418575,433185,447859,462144,476405,490252,503816,517254,530395,543111,555814,568020,580230,592184,603930,615349,626533,637614,648685,659448,670259,680677,690808,700762,710596,720188,729789,739165,748336,757153,765899,774362,782924,791398,799560,807401,815434,823283,830930,838575,845912,853232,860312,867242,874343,881207,888033,894573,901075,907511,913796,919868,925933,931983,937951,943701,949439,954965,960421,965808,971204,976356,981505,986715,991822,996771,1001701,1006572,1011292,1015897,1020538,1025219,1029749,1034250,1038593,1042887,1047146,1051376,
83190,0,0,0,0,0,5,37,138,395,893,1776,3178,5246,8029,11538,15942,21232,27288,34115,41956,50424,59709,69659,79812,90546,101894,113561,125432,137616,150020,162742,175492,188307,201246,214350,227197,240238,253203,266090,278899,291761,304535,316949,329455,341923,354200,366436,378535,390503,402260,413878,425403,436661,447862,458823,469644,480332,490781,501153,511377,521440,531361,541000,550682,560142,569501,578597,587591,596457,605315,613901,622372,630531,638811,647085,654926,662669,670390,678002,685476,692749,699987,707192,714276,721215,727987,734689,741403,747826,754465,760821,766898,773032,779156,785128,790915,796608,802462,808146,813767,819196,824610,829832,834979,840088,845076,850065,855073,860016,864940,869640,874388,879088,883797,888345,892877,897308,901592,905933,
83200,0,0,0,0,0,3,9,26,79,201,434,932,1621,2695,4153,6063,8553,11569,15153,19236,23825,28913,34612,40959,47517,54647,62226,70261,78574,87058,95989,105087,114388,123994,133765,143567,153572,163644,173565,183570,193701,203690,213701,223822,233998,244247,254303,264456,274693,284385,294209,303840,313375,322869,332392,341833,351223,360458,369597,378570,387470,396404,405212,413778,422277,430860,439238,447446,455492,463600,471499,479177,486888,494512,502049,509679,517045,524264,531276,538327,545220,551972,558620,565247,571829,578322,584609,591009,597359,603460,609460,615422,621408,627280,633160,638796,644318,649904,655328,660952,666331,671588,676811,682057,687066,692243,697149,702141,707016,711666,716333,720813,725441,729958,734490,738904,743254,747598,751882,
83210,0,0,0,0,0,0,0,2,11,36,80,180,392,695,1193,1852,2772,3915,5394,7157,9261,11707,14537,17786,21255,25218,29512,34076,38859,44136,49428,55022,61026,67054,73377,79889,86738,93710,100746,107789,114936,122077,129430,136759,144161,151816,159430,167111,174765,182499,190140,197794,205204,212780,220405,227869,235458,242896,250374,257786,265217,272645,279824,287055,294161,301196,308309,315291,322290,329214,336017,342836,349643,356282,362794,369336,375797,382220,388491,394745,400910,406988,412865,418804,424793,430653,436383,442082,447706,453308,458883,464397,469879,475266,480691,485987,491237,496362,501549,506652,511684,516682,521389,526239,531053,535674,540335,545126,549660,554132,558642,562981,567320,571558,575857,580185,584366,588418,592532,
83220,0,0,0,0,0,0,0,1,4,6,21,56,117,234,422,682,1125,1738,2423,3386,4536,5896,7505,9301,11454,13907,16608,19564,22633,26117,29723,33719,37770,42128,46683,51384,56276,61258,66471,71848,77373,83148,88884,94655,100618,106609,112615,118744,124927,131196,137393,143547,149815,156145,162352,168693,175075,181219,187557,193810,200099,206436,212797,218969,224994,231011,237019,243159,249356,255588,261606,267727,273717,279590,285490,291323,297253,303006,308744,314410,320083,325720,331208,336646,341966,347380,352689,357915,363132,368184,373307,378397,383394,388322,393194,398087,402900,407744,412508,417216,421815,426543,431059,435559,439985,444435,448844,453145,457511,461799,466022,470363,474525,478627,482614,486602,490682,494635,498448,
83230,0,0,0,0,0,0,0,0,0,0,2,10,26,57,107,214,387,615,924,1341,1869,2585,3391,4418,5577,6917,8380,9982,11871,13977,16271,18714,21318,24114,27171,30192,33468,36946,40499,44249,48083,52104,56217,60459,64803,69221,73773,78401,83113,87807,92631,97633,102485,107403,112325,117268,122270,127299,132406,137515,142468,147607,152829,157951,163112,168330,173340,178402,183489,188602,193636,198648,203756,208720,213666,218650,223648,228529,233421,238225,243146,247993,252857,257723,262445,267240,272064,276715,281359,285946,290476,295062,299478,303922,308401,312724,317045,321258,325479,329745,333864,338159,342289,346341,350551,354675,358652,362696,366595,370605,374441,378384,382207,385962,389774,393423,397161,400861,404560,
83240,0,0,0,0,0,0,0,0,0,0,0,3,10,16,28,56,107,199,301,451,656,939,1293,1730,2264,2899,3640,4532,5484,6560,7803,9247,10661,12250,14030,15983,17928,20029,22230,24640,27061,29697,32401,35180,38102,41189,44283,47514,50823,54158,57625,61086,64535,68059,71747,75348,79125,82861,86565,90327,94289,98273,102245,106321,110317,114392,118433,122478,126535,130576,134575,138692,142750,146722,150838,154814,158783,162932,166885,170768,174795,178850,182820,186771,190718,194668,198676,202645,206544,210366,214216,218087,221884,225694,229479,233206,236953,240634,244336,248034,251735,255405,259143,262746,266421,270089,273537,277067,280463,283914,287449,290889,294328,297639,300983,304252,307628,310863,314216,
83250,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,9,23,44,76,118,175,263,381,522,686,945,1204,1574,1954,2440,2994,3594,4268,5057,5911,6854,7898,9008,10181,11469,12891,14375,15977,17640,19416,21212,23151,25076,27085,29129,31274,33521,35771,38169,40538,42959,45402,47782,50426,53124,55802,58526,61168,64025,66895,69747,72634,75584,78566,81558,84515,87528,90594,93610,96740,99798,102924,105937,109077,112150,115261,118500,121701,124924,128057,131222,134407,137592,140764,143924,147035,150024,153048,156055,159006,162167,165273,168330,171328,174298,177444,180538,183553,186520,189480,192425,195415,198451,201358,204276,207226,210194,213187,216060,218877,221684,224606,227384,230121,
83260,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,8,14,21,36,49,73,107,167,227,303,424,541,691,894,1125,1406,1708,2028,2425,2870,3355,3879,4496,5106,5803,6530,7298,8180,9086,10039,11029,12126,13264,14384,15572,16857,18165,19641,21084,22497,24033,25645,27293,29029,30776,32491,34283,36055,37781,39722,41619,43530,45427,47378,49385,51375,53470,55519,57719,59812,61900,64017,66231,68369,70581,72797,75010,77234,79500,81785,84102,86291,88583,90897,93215,95536,97853,100122,102463,104779,107141,109389,111596,113866,116209,118549,120898,123238,125522,127835,130090,132333,134650,136942,139245,141577,143889,146098,148354,150689,152990,155349,
83270,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,3,7,13,23,33,44,67,95,126,176,240,293,369,479,594,742,890,1071,1300,1517,1774,2067,2403,2730,3105,3530,3996,4421,4963,5520,6146,6809,7513,8215,8954,9704,10482,11331,12192,13103,13983,14954,15918,16981,18054,19157,20256,21353,22556,23783,24951,26276,27502,28831,30110,31461,32846,34223,35586,37035,38508,40018,41457,42928,44398,45994,47554,49043,50689,52262,53889,55492,57134,58790,60495,62135,63843,65434,67045,68720,70456,72174,73898,75527,77193,78891,80626,82338,84077,85782,87530,89266,91005,92708,94420,96169,97870,99552,101299,
83280,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,6,12,22,31,50,63,80,96,115,149,191,232,294,363,433,520,626,752,876,1020,1208,1373,1573,1800,2034,2287,2531,2796,3124,3458,3819,4140,4534,4918,5372,5793,6244,6722,7209,7737,8280,8847,9455,10009,10638,11321,12020,12712,13491,14230,15016,15778,16550,17310,18084,18885,19750,20615,21501,22383,23243,24210,25170,26144,27134,28125,29065,30002,30995,32040,33107,34178,35215,36326,37362,38491,39584,40713,41847,42900,43981,45127,46287,47476,48650,49828,50997,52141,53313,54448,55586,56769,57955,
83290,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,6,8,9,11,18,29,37,52,63,72,91,107,131,156,187,210,254,295,343,409,477,524,615,700,785,891,997,1108,1217,1339,1473,1632,1789,1946,2119,2306,2514,2714,2938,3183,3398,3641,3916,4149,4448,4743,5044,5369,5708,6011,6370,6759,7139,7531,7923,8328,8786,9208,9625,10066,10510,10995,11489,11954,12418,12876,13413,13936,14454,14982,15547,16091,16639,17217,17825,18419,18993,19589,20203,20821,21425,22056,22709,23335,23982,24618,25278,25945,
83300,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,3,3,4,5,5,7,8,10,13,16,22,24,29,36,45,53,65,77,92,109,123,143,162,191,214,236,264,293,330,377,423,464,515,560,610,670,733,784,854,931,1023,1104,1215,1306,1413,1506,1613,1705,1841,1971,2096,2212,2343,2490,2632,2770,2930,3075,3235,3393,3576,3728,3915,4102,4296,4521,4704,4901,5100,5305,5499,5707,5951,6174,6406,6651,6909,7168,7391,7646,
83310,21,1653,13344,44125,94881,161061,237198,317624,399434,479065,556095,629255,698761,763879,824566,881642,935135,985374,1032540,1075990,1117149,1155659,1191765,1225508,1257252,1287279,1315888,1342660,1368367,1392311,1414679,1436387,1456819,1476453,1494796,1512575,1529403,1545328,1560864,1575469,1589417,1602912,1615917,1628378,1640373,1651975,1663119,1673738,1683874,1693473,1702917,1712116,1720874,1729517,1737805,1745668,1753370,1760742,1768035,1775086,1781957,1788706,1795202,1801441,1807517,1813384,1818980,1824639,1829935,1835156,1840216,1845073,1849904,1854606,1859269,1863771,1868101,1872361,1876453,1880523,1884421,1888266,1892059,1895661,1899270,1902798,1906267,1909573,1912748,1915969,1919189,1922308,1925287,1928218,1931079,1933759,1936558,1939211,1941900,1944544,1947179,1949698,1952290,1954694,1957150,1959430,1961707,1963944,1966150,1968344,1970578,1972696,1974708,1976704,1978686,1980626,1982608,1984470,1986415,
83320,0,60,1125,6297,19166,41563,72893,111822,156458,205062,255793,307289,359221,410410,460566,509367,556605,601841,645381,687046,726966,765385,801834,836831,870411,902196,932903,961879,989599,1016217,1041689,1065762,1089417,1111617,1133023,1153741,1173638,1192820,1211010,1228523,1245443,1261666,1277149,1292342,1306738,1320739,1334338,1347233,1359896,1372129,1384028,1395615,1406898,1417516,1427996,1438122,1447930,1457385,1466590,1475560,1484274,1492824,1501082,1509222,1517015,1524542,1531992,1539184,1546377,1553280,1559850,1566449,1572807,1579003,1585057,1591063,1596658,1602273,1607750,1613101,1618325,1623552,1628569,1633411,1638275,1642988,1647625,1652147,1656641,1660931,1665170,1669245,1673294,1677233,1681195,1685046,1688832,1692445,1696129,1699734,1703239,1706708,1710020,1713333,1716646,1719750,1722753,1725827,1728934,1731954,1734928,1737829,1740632,1743428,1746012,1748688,1751288,1753900,1756450,
83330,0,7,208,1467,5756,14922,30010,50980,77439,108073,142587,179391,217655,257016,296471,336232,375742,414337,452110,489414,524999,559883,593833,626794,658486,688840,718048,746370,773436,799762,825281,849994,873520,896187,918148,939597,960079,979693,998737,1016840,1034708,1051706,1068390,1084333,1099871,1114841,1129409,1143396,1157104,1170268,1183085,1195837,1208030,1219826,1231178,1242371,1252998,1263516,1273600,1283369,1292956,1302270,1311427,1320461,1329095,1337384,1345640,1353638,1361510,1369040,1376560,1383924,1391063,1397976,1404718,1411600,1417972,1424257,1430531,1436557,1442581,1448462,1454306,1459908,1465384,1470813,1475959,1481122,1486051,1490959,1495880,1500622,1505254,1509890,1514323,1518802,1523082,1527291,1531525,1535630,1539639,1543693,1547628,1551518,1555368,1559130,1562781,1566331,1569765,1573210,1576583,1579927,1583231,1586439,1589588,1592701,1595788,1598871,1601802,
83340,0,0,19,194,1065,3570,8630,17020,29037,44541,63135,84816,109065,134992,162017,190236,219216,248608,277743,307215,336175,365105,393650,421296,448853,475540,501671,527492,552669,576829,600334,623229,645425,667037,688072,708584,728624,747794,766689,784898,802497,819638,836293,852544,868296,883571,898670,913232,927392,941051,954590,967403,979948,992316,1004384,1015871,1027304,1038481,1049294,1059903,1070320,1080404,1090157,1099782,1109222,1118317,1127145,1135893,1144383,1152677,1160958,1168884,1176646,1184480,1191991,1199269,1206516,1213458,1220262,1226961,1233411,1240023,1246356,1252579,1258569,1264716,1270533,1276383,1282123,1287661,1292951,1298360,1303699,1308755,1313686,1318749,1323731,1328500,1333364,1338002,1342541,1347104,1351510,1355878,1360180,1364463,1368582,1372684,1376631,1380456,1384319,1388075,1391847,1395654,1399351,1402810,1406292,1409745,1413165,
83350,0,0,1,16,97,463,1501,3655,7332,12786,20032,29430,40829,53763,68285,84257,101276,119327,138131,157701,177655,198106,218838,239509,260121,280747,301240,321852,341952,361791,381361,400702,419707,438506,456940,474970,492986,510088,526959,543638,559996,575676,591377,606462,621424,636031,650172,664036,677756,691191,704138,717053,729655,741811,753966,765593,777013,788218,799080,809860,820327,830725,840697,850464,860033,869457,878566,887478,896448,905243,913907,922248,930341,938428,946441,954237,961788,969327,976723,983967,991001,997778,1004536,1011222,1017751,1024242,1030625,1036821,1042983,1048898,1054758,1060576,1066296,1071976,1077541,1082852,1088251,1093407,1098452,1103486,1108374,1113316,1118251,1122983,1127625,1132212,1136739,1141227,1145655,1150072,1154379,1158514,1162574,1166570,1170675,1174714,1178687,1182515,1186422,
83360,0,0,0,4,23,129,498,1313,2885,5454,9328,14548,21014,29018,38099,48697,60423,72975,86447,100848,115922,131352,147336,163862,180458,197422,214363,231169,247842,265033,281758,298728,315303,331859,348024,363862,379611,395086,410390,425420,440394,454983,469405,483324,497270,511006,524463,537733,550499,563137,575575,587877,599801,611303,622834,634188,645171,656049,666657,677013,687397,697348,707180,716659,726288,735402,744507,753303,761941,770556,779087,787427,795619,803802,811643,819436,827042,834596,842077,849199,856492,863523,870423,877155,883984,890389,896754,903055,909321,915388,921449,927361,933058,938667,944292,949788,955190,960554,965707,970868,976074,981078,985964,990791,995776,1000543,1005233,1009895,1014390,1018856,1023226,1027610,1031939,1036195,1040331,1044386,1048404,1052454,1056449,
83370,0,0,0,0,3,18,117,393,938,1951,3562,6012,9255,13515,18720,24852,31907,39821,48507,58064,68404,79208,90496,102383,114793,127507,140487,153686,167023,180494,193757,207268,220763,234270,247807,261214,274517,287742,300951,314123,327010,339867,352522,364907,377448,389722,401969,413861,425645,437269,448390,459577,470526,481424,492027,502647,513043,523258,533356,543235,552953,562489,571931,581378,590492,599329,607944,616650,625220,633787,641801,649905,657984,665702,673535,681117,688625,695993,703170,710283,717306,724301,731105,737994,744426,750874,757113,763463,769522,775619,781653,787548,793220,799050,804688,810290,815725,821041,826320,831615,836811,841885,846972,852010,857011,861837,866651,871380,875939,880422,884872,889337,893862,898180,902483,906725,910936,915063,919099,
83380,0,0,0,0,0,6,20,84,234,553,1075,1971,3296,5176,7529,10648,14309,18633,23661,29246,35418,42090,49256,56864,64953,73618,82517,91676,101205,110844,120717,130777,141121,151481,161826,172348,183033,193755,204364,214868,225506,235987,246642,257064,267525,277694,287752,297868,307890,317850,327727,337469,347123,356837,366294,375710,385133,394203,403198,412339,421167,429879,438448,446857,455160,463429,471528,479494,487247,495036,502727,510255,517604,524986,532301,539475,546527,553602,560501,567194,573977,580388,586978,593393,599746,606020,612124,618148,624108,629951,635777,641483,647282,652906,658348,663759,669194,674620,679933,684997,690068,695065,700023,705021,709780,714562,719402,724037,728602,733163,737639,742159,746625,750880,755297,759550,763561,767730,771855,
83390,0,0,0,0,0,0,2,7,25,87,215,443,854,1463,2324,3541,5057,6947,9171,11897,14965,18323,22210,26324,31025,36038,41396,47041,53028,59266,65788,72480,79478,86533,93780,101187,108860,116482,124180,132099,139933,147805,155817,163832,171961,179921,187917,195837,203722,211759,219731,227676,235650,243500,251349,259054,266798,274295,281891,289483,297031,304549,311836,319059,326347,333503,340643,347711,354556,361390,368242,374808,381385,387988,394515,400847,407282,413523,419744,425892,432001,437968,443926,449772,455554,461217,466878,472392,477798,483371,488819,494179,499316,504455,509592,514755,519867,524808,529787,534682,539570,544308,549007,553681,558368,562934,567317,571787,576232,580686,585021,589265,593536,597745,601966,606025,609996,613947,617794,
83400,0,0,0,0,0,0,0,0,8,25,69,138,319,592,989,1558,2327,3272,4460,5974,7735,9815,12183,14868,17854,21122,24617,28416,32554,36956,41613,46438,51356,56575,62148,67763,73414,79196,85296,91321,97525,103945,110376,116778,123331,129817,136415,143069,149691,156354,163023,169412,176136,182946,189549,196135,202717,209295,215820,222333,228650,235138,241600,247890,254189,260612,266804,273158,279468,285674,291649,297801,303724,309617,315519,321470,327251,332945,338615,344294,349748,355379,360836,366311,371579,376889,382061,387343,392555,397584,402605,407646,412532,417417,422225,426982,431792,436588,441258,445755,450274,454738,459312,463793,468129,472460,476717,480985,485304,489498,493599,497758,501815,505771,509704,513537,517411,521190,525013,
83410,0,0,0,0,0,0,0,0,0,4,18,47,87,180,327,551,860,1328,1928,2668,3600,4707,6034,7469,9253,11153,13241,15564,18137,20937,23884,27217,30537,34077,37806,41678,45703,49829,54245,58665,63269,67927,72630,77554,82471,87433,92507,97668,102931,108201,113494,118772,124127,129496,134922,140378,145866,151357,156718,162126,167534,172933,178364,183891,189222,194561,199936,205068,210413,215701,220994,226348,231613,236761,241797,246880,251929,256898,261883,266865,271752,276562,281452,286291,290979,295665,300318,305029,309746,314404,319024,323619,328190,332608,337065,341393,345791,350081,354345,358529,362707,366814,370956,375073,379068,382973,386952,390993,394892,398745,402553,406299,410063,413778,417585,421152,424747,428290,431870,
83420,0,0,0,0,0,0,0,0,0,2,4,8,25,47,88,147,267,423,669,984,1376,1878,2497,3203,4055,5050,6145,7373,8866,10517,12277,14021,15965,18066,20387,22941,25589,28345,31171,34053,37109,40283,43535,46906,50391,53939,57560,61217,65020,68966,72870,76805,80858,84945,89103,93143,97424,101580,105777,110082,114420,118764,122995,127361,131719,136049,140342,144761,149028,153349,157683,161892,166212,170648,174863,179150,183383,187694,191918,196005,200348,204432,208506,212617,216722,220814,224907,228960,232948,236855,240776,244626,248569,252460,256393,260306,264140,267930,271772,275444,279045,282773,286298,289896,293473,297061,300558,304145,307612,310949,314376,317837,321323,324637,328130,331437,334801,338068,341351,
83430,0,0,0,0,0,0,0,0,0,0,0,1,5,7,14,31,55,101,164,272,411,577,819,1102,1439,1868,2319,2915,3574,4294,5131,6061,7077,8199,9475,10829,12217,13721,15328,17028,18915,20871,22839,24856,26973,29180,31497,33837,36389,39027,41697,44367,47030,49799,52567,55476,58421,61336,64435,67381,70433,73580,76654,79806,83084,86315,89640,93014,96266,99598,102885,106218,109525,112863,116142,119389,122685,125980,129295,132647,136026,139403,142745,146115,149389,152657,156096,159463,162708,165935,169098,172323,175490,178643,181774,184957,188208,191422,194525,197675,200791,203856,207012,210123,213172,216188,219245,222229,225287,228212,231207,234167,237082,239975,242893,245850,248656,251436,254245,
83440,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,5,6,21,37,60,83,129,186,264,370,495,645,841,1101,1382,1684,2068,2481,2969,3552,4205,4823,5535,6324,7203,8074,9029,10041,11116,12226,13427,14734,16064,17481,18847,20375,21944,23528,25205,26903,28626,30415,32227,34045,35966,37921,39866,41840,43867,46011,48121,50323,52448,54626,56922,59212,61536,63755,66139,68501,70846,73265,75641,78000,80356,82849,85276,87708,90174,92649,95086,97596,100023,102598,105105,107490,109929,112469,114880,117376,119810,122229,124673,127065,129518,131985,134434,136888,139324,141738,144266,146745,149196,151627,154084,156446,158778,161159,163484,165856,168156,170439,172867,175218,
83450,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,9,11,23,42,58,90,132,177,239,311,380,484,609,742,929,1136,1354,1599,1882,2217,2574,2981,3422,3910,4444,4999,5582,6202,6857,7588,8339,9124,9951,10862,11773,12750,13712,14740,15810,16901,18029,19162,20422,21571,22838,24139,25459,26783,28171,29598,31077,32585,34053,35497,37007,38633,40168,41747,43319,44959,46604,48277,49950,51631,53322,54946,56667,58444,60150,61942,63673,65541,67360,69201,71014,72858,74774,76672,78522,80345,82220,84015,85823,87624,89528,91345,93246,95108,96955,98772,100660,102484,104357,106227,108037,109826,111653,113482,115242,117070,
83460,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,5,5,7,16,19,29,40,53,67,96,128,166,218,288,370,464,570,682,819,946,1127,1288,1524,1767,2027,2307,2609,2925,3223,3579,3965,4347,4740,5146,5642,6157,6720,7299,7872,8430,9074,9717,10356,11058,11795,12537,13245,14001,14848,15631,16464,17291,18105,18993,19903,20811,21766,22742,23700,24685,25660,26687,27790,28868,29929,31041,32092,33193,34342,35484,36609,37799,38963,40076,41275,42470,43665,44854,46069,47294,48546,49817,51088,52324,53623,54834,56120,57379,58699,59988,61266,62558,63893,65190,66479,67787,69056,
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83700,0,0,0,0,0,34,185,712,1970,4338,8047,13831,21476,31511,43734,58149,74401,92435,112009,132885,154974,177684,200997,225008,249184,273605,297947,322421,346697,371172,395101,418517,441926,464610,487076,508622,529804,550677,571328,591174,610722,629448,647811,665732,683033,699895,716393,732669,748405,763716,778458,792834,806807,820625,833933,847098,859640,871971,883913,895577,906731,917703,928445,938876,949005,959006,968911,978293,987585,996661,1005416,1013830,1022200,1030447,1038445,1046312,1053999,1061315,1068582,1075712,1082593,1089312,1095875,1102445,1108847,1115006,1121112,1127056,1132827,1138535,1144134,1149627,1155112,1160390,1165621,1170623,1175606,1180383,1185109,1189703,1194277,1198614,1202944,1207275,1211544,1215683,1219673,1223632,1227402,1231113,1234860,1238528,1242115,1245645,1249123,1252533,1255789,1259093,1262260,
83710,0,0,0,0,0,4,17,72,262,666,1538,2904,5137,8395,12606,17997,24595,32321,41430,51533,62679,74835,87857,101636,116293,131195,146653,162495,178891,195492,212047,228463,245193,262030,278719,295422,311702,327983,344084,360111,375698,391042,406257,421122,436009,450709,464923,478841,492337,505772,518932,531883,544602,556847,569012,581017,592675,603854,615128,626101,636810,647302,657612,667562,677385,687029,696436,705676,714887,723922,732488,740684,748821,756936,764995,772766,780391,787905,795283,802465,809527,816321,823034,829648,836188,842481,848586,854690,860675,866614,872316,877911,883577,889082,894375,899516,904665,909684,914635,919383,924131,928800,933336,937929,942267,946625,950916,955264,959249,963301,967277,971283,975156,978953,982594,986234,989836,993341,996828,
83720,0,0,0,0,0,0,3,26,70,196,509,1089,2088,3566,5724,8636,12314,16778,22122,28399,35460,43498,52397,61918,72113,82887,94280,105642,117882,130308,143063,155924,169072,182480,195893,209345,222679,236118,249551,262883,276214,289124,302182,315060,327921,340456,352801,365287,377413,389513,401080,412683,424057,435283,446608,457415,467976,478414,488517,498509,508536,518489,528001,537248,546518,555712,564638,573241,581716,589961,598247,606263,614107,621904,629575,636870,644127,651530,658558,665449,672265,679116,685735,692124,698510,704629,710734,716682,722511,728361,734074,739703,745151,750545,755927,761121,766127,771145,776059,780842,785373,789934,794498,799071,803584,808009,812411,816655,820823,824906,828883,832835,836806,840658,844493,848229,851918,855463,858927,
83730,0,0,0,0,0,0,0,4,21,55,161,373,741,1336,2250,3598,5440,7791,10568,14020,18117,22852,28286,34300,40911,47847,55503,63475,71883,80578,89621,99005,108769,118879,128855,139066,149376,159819,170375,181083,191800,202531,213086,223695,234398,244723,255062,265258,275531,285686,295751,305836,315764,325411,334926,344591,353758,362986,372111,381161,390051,398798,407476,415955,424268,432560,440659,448528,456505,464287,471848,479431,486814,493971,501134,508242,515054,521794,528380,534930,541169,547471,553571,559667,565625,571638,577398,583224,588823,594290,599760,605029,610336,615390,620541,625555,630578,635364,640136,644716,649364,653891,658380,662809,667087,671224,675460,679558,683625,687573,691511,695503,699298,703118,706768,710423,714037,717553,721191,
83740,0,0,0,0,0,0,0,0,3,11,25,89,213,412,773,1304,2055,3065,4383,6043,8205,10671,13538,16820,20514,24788,29357,34314,39589,45218,51088,57444,64089,70969,77879,85156,92582,100301,108105,116067,124058,132152,140447,148449,156699,164766,173007,181349,189556,197700,205791,214010,222303,230289,238323,246072,253831,261549,269329,277020,284739,292220,299725,306860,314066,321284,328438,335374,342421,349300,355944,362529,369158,375625,381993,388291,394598,400740,406748,412578,418496,424164,429846,435479,441188,446628,451838,457188,462335,467413,472483,477434,482393,487229,492020,496651,501193,505688,510278,514767,519106,523407,527646,531867,535947,539937,543837,547809,551731,555575,559336,563089,566763,570402,573945,577427,581022,584483,587853,
83750,0,0,0,0,0,0,0,0,0,3,6,17,37,75,160,322,574,969,1479,2155,3071,4128,5431,7046,8864,11093,13494,16232,19075,22293,25881,29601,33567,37889,42404,46981,51838,57039,62201,67532,72980,78714,84384,90152,95891,101790,107782,113828,120048,126261,132381,138464,144656,150696,156937,163243,169397,175467,181656,187849,193908,199988,205929,212100,218030,223840,229752,235530,241322,247016,252559,257991,263625,269064,274656,279868,285093,290466,295683,300778,305807,310729,315745,320685,325419,330217,334938,339696,344334,348857,353419,357863,362108,366462,370784,375014,379141,383274,387314,391340,395281,399242,403049,406801,410631,414362,417971,421674,425221,428836,432378,435959,439400,442758,446071,449457,452650,455854,459091,
83760,0,0,0,0,0,0,0,0,0,0,0,2,11,35,75,139,258,437,697,1072,1536,2117,2841,3787,4845,6164,7690,9446,11407,13574,15837,18467,21101,24080,27292,30541,34045,37713,41499,45408,49577,53854,58229,62710,67264,71930,76564,81425,86299,91167,96174,101270,106344,111436,116542,121663,126793,131858,137081,142198,147318,152370,157564,162718,167788,172920,177960,183080,188007,192992,197966,202866,207752,212596,217266,222033,226767,231528,236107,240728,245315,249750,254133,258525,262781,267053,271346,275611,279777,283804,287945,291953,295966,299876,303754,307707,311424,315193,318913,322609,326241,329831,333333,336833,340262,343702,347117,350515,353822,357204,360465,363776,366868,370047,373155,376181,379199,382317,385279,
83770,0,0,0,0,0,0,0,0,0,0,2,2,3,9,23,55,100,175,287,473,726,1040,1430,1946,2556,3276,4110,5090,6251,7522,8963,10576,12281,14194,16280,18563,21037,23537,26239,28996,31822,34995,38122,41393,44643,48159,51676,55366,59099,62889,66635,70503,74443,78466,82507,86525,90730,94746,98857,102866,107131,111257,115426,119706,123843,128026,132175,136446,140663,144624,148901,153127,157147,161252,165376,169518,173509,177520,181509,185483,189347,193256,197070,200906,204634,208418,212193,215848,219495,223125,226618,230255,233825,237306,240737,244175,247549,250917,254231,257564,260837,264090,267334,270483,273559,276677,279783,282842,285814,288799,291789,294764,297652,300524,303375,306127,308898,311731,314484,
83780,0,0,0,0,0,0,0,0,0,0,0,0,3,4,7,15,29,53,97,159,252,390,567,797,1091,1441,1916,2472,3092,3811,4650,5638,6723,7860,9167,10588,12050,13625,15325,17217,19188,21218,23319,25551,27845,30325,32883,35429,38054,40754,43620,46491,49378,52360,55306,58313,61505,64677,67921,71081,74348,77532,80768,84070,87282,90677,94119,97465,100797,104221,107503,110912,114252,117623,120986,124286,127634,130911,134227,137511,140818,144127,147411,150577,153785,156925,160049,163193,166288,169338,172416,175503,178521,181486,184442,187483,190480,193395,196267,199185,202069,204954,207763,210623,213294,216037,218638,221410,224024,226725,229452,231960,234611,237096,239588,242107,244628,247134,249566,
83790,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,7,14,28,56,84,142,194,264,387,540,732,997,1273,1605,2010,2529,3044,3709,4387,5127,6005,6950,7919,8944,10061,11317,12636,14017,15476,17028,18642,20304,22084,23865,25737,27744,29799,31835,33910,36038,38125,40286,42650,44868,47160,49612,51911,54318,56823,59244,61745,64265,66776,69324,71882,74469,77026,79648,82262,84833,87356,90019,92690,95264,97885,100418,103038,105641,108253,110890,113401,115929,118571,121115,123710,126235,128726,131176,133659,136122,138669,141101,143560,146004,148397,150810,153130,155492,157733,160098,162389,164697,166929,169265,171530,173748,175894,178130,180267,182556,184669,186747,188785,
83800,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,3,7,11,25,48,86,118,179,260,344,474,613,765,977,1196,1491,1836,2190,2568,3037,3563,4114,4756,5426,6113,6853,7647,8525,9418,10418,11506,12549,13692,14843,16116,17311,18663,19942,21358,22744,24251,25746,27278,28804,30370,31989,33652,35313,37054,38809,40583,42377,44202,45983,47797,49584,51426,53265,55132,57016,58943,60848,62784,64744,66646,68548,70513,72464,74421,76367,78313,80290,82279,84227,86108,88080,90029,91930,93804,95768,97702,99638,101565,103418,105382,107219,109051,110843,112704,114565,116415,118324,120150,121949,123769,125617,127315,129078,130876,132593,134296,
83810,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,8,15,26,45,72,103,135,198,272,358,465,564,702,868,1034,1238,1494,1778,2079,2406,2783,3151,3588,4063,4585,5097,5695,6312,7007,7686,8381,9117,9917,10786,11678,12567,13509,14453,15428,16400,17427,18517,19589,20726,21871,23023,24281,25453,26683,27965,29232,30459,31707,33020,34341,35735,37126,38482,39892,41252,42639,44043,45504,46861,48238,49669,51031,52401,53853,55287,56689,58222,59731,61255,62754,64222,65676,67199,68684,70196,71590,73013,74547,76046,77521,78984,80381,81838,83320,84765,86171,87604,89023,90460,91858,93307,94731,
83820,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,6,11,17,25,31,45,61,81,109,147,186,229,298,374,468,585,709,842,1008,1192,1382,1605,1817,2069,2356,2652,2951,3237,3624,4010,4395,4858,5305,5790,6291,6823,7406,7934,8517,9125,9758,10414,11025,11735,12387,13162,13872,14652,15428,16212,17024,17904,18712,19607,20505,21358,22246,23151,24074,24961,25903,26843,27789,28716,29647,30660,31654,32677,33683,34718,35699,36782,37826,38850,39874,40907,41931,42974,43996,45040,46110,47158,48240,49283,50344,51428,52505,53568,54575,55644,56734,57778,58870,59946,61070,
83830,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,7,11,15,15,22,33,38,49,67,90,119,142,185,222,272,323,388,462,531,628,741,839,959,1088,1263,1374,1532,1711,1890,2105,2314,2544,2797,3044,3303,3551,3842,4156,4442,4796,5110,5467,5831,6246,6621,7016,7421,7867,8305,8729,9210,9696,10124,10637,11137,11604,12118,12675,13194,13695,14279,14853,15392,15970,16588,17173,17780,18350,18996,19615,20201,20838,21481,22100,22777,23391,24095,24753,25413,26063,26733,27463,28125,28797,29502,30210,30924,31615,32294,32992,33723,
83840,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,6,8,10,13,16,20,25,31,43,49,63,77,93,113,131,154,172,206,237,269,314,358,401,449,507,573,637,709,786,874,959,1062,1172,1277,1393,1539,1657,1800,1930,2080,2243,2398,2567,2744,2927,3087,3309,3508,3721,3899,4093,4317,4546,4775,5007,5254,5517,5769,6000,6246,6524,6790,7046,7325,7609,7880,8177,8499,8800,9074,9368,9675,9997,10342,10654,10980,11350,11708,12050,12384,12735,13103,13476,13837,
83850,0,63,1821,10544,32450,70261,122776,186099,257298,332212,408832,484855,558636,629688,697723,762079,822984,880419,934200,984703,1032217,1076832,1118626,1158253,1195039,1229663,1262435,1293034,1321828,1348870,1374279,1398318,1421507,1443026,1463573,1482977,1501722,1519278,1535996,1551819,1566903,1581495,1595218,1608207,1620810,1632896,1644667,1655512,1666095,1676372,1686209,1695672,1704642,1713432,1721726,1729846,1737591,1745072,1752059,1758956,1765582,1772032,1778130,1784312,1790242,1795913,1801421,1806797,1812006,1816912,1821717,1826379,1830903,1835362,1839642,1843803,1847922,1851938,1855826,1859599,1863234,1866814,1870211,1873529,1876769,1880038,1883199,1886338,1889344,1892209,1895053,1897849,1900532,1903233,1905881,1908321,1910808,1913200,1915553,1917787,1920023,1922161,1924296,1926404,1928453,1930406,1932305,1934155,1936051,1937958,1939778,1941634,1943346,1945090,1946716,1948390,1950011,1951597,1953078,
83860,0,0,55,716,3556,10841,24307,44908,72459,106350,144840,187274,232143,278594,326022,373017,419150,464348,509144,552433,594447,634995,673879,710970,746896,781082,814062,845412,875392,904464,932189,958674,983876,1008051,1031021,1053148,1074390,1094826,1114346,1133191,1151115,1168593,1185036,1200938,1216275,1231183,1245509,1258998,1272240,1285038,1297208,1308892,1320297,1331201,1341604,1351851,1361993,1371631,1380996,1390210,1398924,1407602,1415813,1423653,1431287,1438876,1446071,1453155,1459888,1466599,1473114,1479503,1485593,1491742,1497429,1503059,1508508,1513934,1519177,1524414,1529481,1534359,1539166,1543778,1548329,1552845,1557183,1561434,1565556,1569529,1573442,1577291,1581010,1584655,1588100,1591660,1595027,1598376,1601750,1604959,1608166,1611177,1614207,1617307,1620233,1623106,1625889,1628617,1631234,1633869,1636396,1638897,1641279,1643752,1646239,1648599,1650960,1653286,1655552,
83870,0,0,4,105,763,2951,7835,16458,29408,46925,68815,94112,122354,153172,185678,219631,254465,289441,324905,359992,394609,429033,462306,494707,526858,557654,587521,616565,644575,671599,697633,722634,747474,771038,793757,815691,836926,857366,876821,895732,914048,931829,948875,965430,981532,996690,1011690,1025904,1039843,1053292,1066319,1078991,1091162,1102921,1114334,1125102,1135807,1146310,1156531,1166228,1175869,1185114,1194035,1202809,1211336,1219616,1227742,1235583,1243207,1250665,1257770,1264879,1271690,1278379,1284867,1291313,1297426,1303299,1309297,1314978,1320585,1326038,1331334,1336592,1341726,1346816,1351746,1356634,1361208,1365827,1370314,1374812,1378969,1383041,1387017,1390954,1394845,1398680,1402490,1406347,1410022,1413651,1417176,1420559,1423904,1427155,1430341,1433453,1436514,1439492,1442457,1445404,1448308,1451227,1454096,1456716,1459446,1462129,1464690,
83880,0,0,0,8,99,486,1610,4185,8808,15646,25210,37401,52375,69685,88818,109689,131892,155535,180215,205278,230304,255909,281520,306930,332287,357011,381512,405801,429435,452822,475546,497543,519062,539936,560699,580648,600255,619209,637678,655607,673014,689820,706141,721883,737484,752598,767371,781553,795334,808916,821800,834310,846667,858643,870192,881443,892560,903340,913931,924096,933927,943642,952955,962232,971120,979929,988526,996872,1005024,1013079,1020864,1028171,1035506,1042632,1049512,1056350,1063035,1069570,1075910,1082121,1088128,1093937,1099743,1105437,1111019,1116572,1121804,1126920,1132145,1137226,1142090,1146884,1151605,1156263,1160705,1165056,1169389,1173585,1177755,1181781,1185839,1189757,1193782,1197615,1201215,1204893,1208346,1211839,1215291,1218715,1222027,1225367,1228627,1231799,1234832,1237905,1240937,1243924,1246818,
83890,0,0,0,1,9,44,209,664,1712,3636,6579,11021,16595,23939,32625,42765,54044,66642,80520,95199,110490,126640,143174,160348,177876,195421,212909,230688,248392,265923,283625,300988,318194,335038,351727,368088,384239,400233,415859,431039,445823,460648,475140,489140,502899,516522,529731,542575,555279,567751,579868,591605,603186,614563,625390,636324,646776,657090,667178,677004,686759,696097,705404,714371,722985,731480,739778,747877,755949,763795,771550,779101,786501,793829,800758,807724,814470,820913,827386,833718,839945,846039,851961,857827,863527,869250,874790,880124,885334,890441,895541,900539,905516,910345,915166,919846,924451,928913,933304,937680,941993,946147,950222,954212,958179,962052,965906,969735,973394,977055,980645,984265,987789,991150,994510,997846,1001172,1004363,1007543,
83900,0,0,0,0,2,10,52,221,655,1461,2837,5016,8033,12289,17565,23785,30996,39356,48741,58738,69899,81517,93627,106296,119377,132801,146744,160808,175155,189471,203987,218308,232690,247003,261152,275286,289112,302744,316608,330122,343686,356731,369467,382121,394448,406646,418661,430521,441995,453468,464508,475456,486026,496626,507059,517172,527111,536725,546388,555586,564735,573721,582365,590859,599364,607637,615720,623686,631478,639143,646868,654240,661271,668250,675104,681847,688461,694998,701447,707779,713863,719775,725787,731454,737115,742640,748020,753311,758572,763876,768988,773933,778899,783684,788369,792975,797458,801828,806226,810565,814870,819068,823239,827343,831481,835389,839223,842992,846720,850345,853808,857436,860922,864325,867738,871077,874445,877678,880932,
83910,0,0,0,0,2,5,23,69,206,508,1078,1986,3392,5584,8320,11799,15991,20778,26528,33108,40250,47959,56337,65219,74474,84352,94388,104967,115609,126647,137841,148978,160462,172029,183404,194791,206180,217390,228614,239729,251115,262118,273087,284050,294942,305499,316052,326556,336783,346920,356791,366506,376074,385572,394747,404065,412885,421719,430302,439072,447352,455592,463834,471902,479773,487483,495058,502346,509819,517013,524001,531028,537771,544422,550920,557454,563832,570034,576148,582179,588007,593899,599765,605284,610736,616117,621424,626687,631765,636831,641780,646711,651591,656373,660968,665444,669832,674267,678624,682912,687065,691118,695174,699229,703220,707049,710748,714453,718223,721872,725387,728880,732391,735912,739302,742705,745954,749036,752171,
83920,0,0,0,0,0,0,0,5,36,107,255,567,1099,1987,3208,4865,6976,9507,12615,16311,20452,25073,30270,35863,42005,48350,54985,62216,69715,77523,85355,93668,101902,110353,118995,127844,136667,145580,154465,163385,172138,180972,190040,198945,207785,216865,225530,234249,242677,251088,259489,267858,276065,284216,292307,300229,308192,315838,323566,330999,338342,345662,352969,360063,367145,373966,380953,387698,394241,400734,407205,413443,419686,425678,431805,437762,443492,449289,454878,460472,465915,471449,476810,481939,487032,492186,497131,502105,506985,511797,516501,521216,525661,530095,534554,538979,543299,547503,551644,555781,559931,563839,567704,571519,575384,579149,582842,586531,590112,593666,597135,600472,603800,607221,610542,613817,617015,620334,623467,
83930,0,0,0,0,0,0,0,0,6,24,64,159,324,619,1032,1651,2570,3674,5134,6919,9020,11501,14285,17298,20728,24411,28405,32735,37349,42413,47529,52951,58717,64382,70414,76363,82624,89046,95380,101809,108398,114972,121778,128464,135262,141763,148603,155240,162063,168842,175524,182277,188891,195513,202043,208569,215123,221590,228021,234441,240717,246861,252999,258976,264955,270859,276678,282525,288127,293798,299290,304839,310357,315713,320861,326154,331380,336586,341544,346563,351597,356590,361420,366048,370643,375313,379899,384265,388778,393171,397462,401692,405912,410051,414139,418247,422142,426093,429916,433852,437610,441212,444838,448441,451961,455510,459039,462487,465881,469374,472629,475893,479122,482157,485270,488257,491285,494314,497196,
83940,0,0,0,0,0,0,0,0,2,6,16,46,131,251,463,775,1199,1812,2610,3615,4840,6323,8041,10061,12346,14814,17486,20516,23814,27304,31006,34931,39123,43453,47917,52690,57407,62329,67524,72634,77852,83144,88522,93967,99434,105034,110698,116178,121734,127412,133064,138570,144122,149698,155304,160809,166227,171755,177328,182903,188318,193837,199233,204533,209716,214890,220087,225143,230219,235258,240174,245068,249928,254828,259614,264414,269222,273877,278475,283018,287441,291946,296524,300758,305038,309406,313587,317817,321917,325867,329880,333757,337611,341494,345182,348941,352539,356134,359776,363346,367001,370505,373857,377244,380563,383860,387100,390309,393532,396647,399742,402751,405698,408705,411694,414555,417456,420375,423228,
83950,0,0,0,0,0,0,0,0,0,3,10,24,55,105,201,334,532,793,1233,1756,2431,3222,4214,5312,6692,8214,9937,11874,13957,16310,18749,21403,24257,27256,30515,33804,37194,40735,44324,48288,52200,56236,60332,64586,68748,73016,77345,81799,86304,90887,95418,100056,104658,109119,113721,118288,122943,127631,132268,136903,141533,146142,150693,155152,159588,163949,168364,172735,177111,181400,185728,189983,194193,198393,202579,206719,210825,214918,218985,223078,227072,231056,234957,238832,242630,246395,250155,253787,257412,261120,264695,268344,271845,275261,278707,282114,285551,288840,292100,295391,298626,301811,304897,307984,311100,314051,317072,320024,322966,325888,328795,331633,334484,337308,339997,342808,345433,348128,350788,
83960,0,0,0,0,0,0,0,0,1,1,1,2,11,33,63,126,199,324,498,771,1102,1493,2027,2664,3414,4287,5292,6390,7684,9023,10618,12297,14104,16073,18158,20398,22768,25209,27771,30445,33196,36052,39030,42115,45206,48437,51719,55034,58420,61770,65200,68660,72179,75600,79188,82807,86425,89990,93583,97200,100805,104497,108271,112084,115783,119437,123118,126741,130447,134093,137829,141452,145015,148590,152139,155667,159161,162548,166022,169510,173033,176388,179711,183031,186338,189653,192872,196091,199332,202576,205794,208932,212029,215096,218150,221005,223908,226841,229750,232686,235549,238452,241224,243978,246709,249445,252229,254838,257465,260105,262718,265386,267972,270490,273029,275422,277901,280323,282697,
83970,0,0,0,0,0,0,0,0,0,0,0,0,2,5,9,23,43,84,148,233,364,553,772,1055,1407,1811,2316,2888,3490,4251,5133,6060,7151,8355,9574,10902,12328,13807,15431,17191,19028,20899,22904,24914,27099,29237,31499,33784,36161,38596,41090,43600,46222,48828,51432,54076,56720,59389,62087,64879,67718,70569,73356,76228,78995,81878,84734,87642,90502,93358,96204,99035,101855,104662,107476,110347,113240,116142,118964,121812,124658,127405,130162,132943,135700,138390,141155,143792,146483,149177,151870,154589,157182,159712,162279,164850,167324,169852,172337,174783,177276,179794,182282,184682,187052,189428,191803,194148,196381,198631,200985,203187,205437,207682,209879,211990,214111,216274,218432,
83980,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,4,12,16,36,62,101,166,234,338,492,672,851,1115,1425,1804,2213,2669,3158,3770,4420,5128,5851,6675,7583,8538,9514,10589,11754,13000,14234,15643,17016,18449,19948,21483,23065,24665,26330,28072,29851,31633,33455,35281,37221,39106,40987,42949,44991,47020,49025,50960,53005,55073,57152,59255,61409,63505,65591,67796,69919,72052,74147,76302,78446,80726,82818,85038,87207,89378,91521,93645,95766,97888,100070,102151,104232,106324,108439,110480,112597,114709,116822,118826,120890,122977,124988,127009,129002,130933,132917,134905,136838,138723,140669,142584,144470,146407,148325,150190,152036,153900,155665,157478,159180,
83990,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,5,7,12,22,35,71,103,144,205,276,373,510,664,848,1046,1280,1567,1881,2210,2566,3001,3490,3995,4525,5103,5740,6414,7146,7927,8809,9696,10623,11552,12522,13560,14599,15654,16763,17870,19078,20265,21529,22809,24082,25453,26752,28169,29568,31019,32407,33926,35398,36892,38374,39877,41418,42957,44485,46090,47651,49186,50817,52428,54028,55629,57269,58925,60540,62182,63755,65456,67094,68710,70300,71896,73506,75152,76870,78481,80130,81775,83446,85080,86666,88245,89767,91361,92945,94535,96124,97608,99143,100628,102199,103762,105265,106742,108254,109793,111324,112822,114342,
84000,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,4,6,10,16,21,30,48,78,104,137,179,231,300,393,497,613,753,915,1113,1304,1529,1772,2031,2315,2614,2950,3376,3802,4259,4741,5251,5763,6315,6908,7528,8128,8772,9416,10138,10881,11580,12381,13173,14014,14887,15710,16561,17471,18329,19206,20108,21042,22010,22981,23999,25034,26064,27036,28131,29206,30288,31365,32484,33662,34747,35860,37000,38203,39328,40482,41622,42808,43966,45123,46290,47423,48627,49788,50941,52105,53280,54426,55600,56815,57985,59159,60361,61566,62782,63974,65202,66333,67512,68672,69797,70994,72089,73185,74309,75477,
84010,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,5,6,8,14,18,23,34,50,74,94,118,153,185,233,284,327,391,465,558,671,777,895,1044,1197,1349,1518,1717,1927,2154,2382,2604,2901,3193,3524,3829,4160,4483,4868,5263,5636,6084,6484,6944,7391,7873,8357,8871,9372,9884,10419,11013,11539,12097,12671,13238,13842,14437,15027,15653,16263,16901,17551,18187,18873,19593,20260,20927,21591,22249,23011,23743,24488,25234,25960,26637,27366,28158,28876,29593,30343,31143,31949,32706,33467,34277,35076,35884,36598,37385,38202,38942,39746,40526,41293,42097,42835,
84020,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,5,7,11,14,16,22,30,37,48,68,83,102,137,169,206,248,289,334,381,441,497,570,631,705,779,872,972,1077,1214,1326,1458,1572,1714,1872,2022,2185,2365,2533,2718,2909,3093,3283,3493,3681,3897,4158,4389,4634,4893,5157,5415,5670,5970,6233,6540,6805,7119,7412,7712,8027,8352,8640,8967,9273,9657,10050,10421,10791,11152,11496,11836,12227,12613,13013,13429,13850,14240,14630,15050,15453,15881,16283,16688,17101,17508,17935,18356,
84030,2,522,6106,24818,61631,114655,180082,252305,328213,404705,480222,553029,622609,688384,750374,808548,863120,913867,961527,1006280,1047944,1087258,1123971,1158127,1190211,1220568,1249219,1276036,1301325,1325164,1347940,1369474,1389852,1409029,1427391,1444697,1461022,1476755,1491606,1505627,1519254,1532285,1544589,1556546,1567903,1578906,1589478,1599657,1609392,1618641,1627562,1636241,1644386,1652464,1660163,1667559,1674840,1681860,1688611,1695149,1701450,1707477,1713387,1719152,1724629,1729961,1735122,1740178,1745054,1749748,1754329,1758819,1763243,1767501,1771657,1775715,1779531,1783286,1787059,1790676,1794183,1797586,1800988,1804248,1807529,1810677,1813652,1816580,1819546,1822338,1825093,1827772,1830390,1832912,1835403,1837829,1840255,1842626,1844910,1847195,1849415,1851588,1853659,1855750,1857749,1859724,1861711,1863664,1865528,1867342,1869143,1870897,1872612,1874264,1875889,1877552,1879110,1880733,1882251,
84040,0,14,409,2923,10568,25661,48822,79908,117490,159346,204252,251483,299606,347857,395330,441738,486835,530777,572760,613209,652117,689281,724785,758861,790892,821711,851171,879510,906780,932586,957218,980526,1002968,1024741,1045267,1065278,1084281,1102516,1119695,1136208,1152253,1167483,1182238,1196429,1210025,1222906,1235646,1247696,1259454,1270961,1281816,1292540,1302654,1312582,1322174,1331492,1340387,1348916,1357348,1365209,1373223,1381076,1388471,1395737,1402639,1409365,1415927,1422297,1428493,1434514,1440365,1446187,1451911,1457290,1462479,1467603,1472691,1477720,1482687,1487524,1492077,1496670,1501090,1505399,1509489,1513555,1517484,1521276,1525052,1528774,1532361,1536027,1539396,1542777,1546120,1549284,1552430,1555538,1558556,1561549,1564532,1567390,1570118,1572856,1575544,1578264,1580847,1583422,1585888,1588432,1590776,1593174,1595473,1597677,1599935,1602123,1604287,1606357,1608412,
84050,0,1,51,618,3017,8631,18958,34753,55660,80897,109631,141530,175496,211185,247530,283992,320686,357022,392464,427311,460930,493653,525634,556519,586327,615017,642551,669539,695138,719863,743520,766381,788330,809720,830044,850040,869080,887377,905015,922011,938205,953813,969148,983852,998165,1011828,1025083,1037826,1050349,1062422,1074174,1085528,1096451,1107012,1117177,1126971,1136745,1146042,1155159,1164048,1172666,1180974,1189128,1197003,1204617,1212048,1219429,1226444,1233283,1239922,1246397,1252711,1258977,1264976,1270819,1276402,1282070,1287442,1292742,1297897,1303086,1308135,1313012,1317768,1322367,1326891,1331389,1335516,1339837,1343940,1348116,1352123,1356132,1359970,1363709,1367344,1371000,1374508,1378036,1381363,1384633,1387936,1391127,1394206,1397248,1400358,1403385,1406324,1409141,1411884,1414633,1417337,1420026,1422591,1425238,1427761,1430195,1432647,1435128,
84060,0,0,6,105,557,2068,5458,11484,20626,33134,48377,66543,87105,109389,133301,158519,184631,210873,237774,264733,291443,317816,343983,369535,394792,419510,443583,467033,489860,511885,533566,554751,575107,594814,614142,632696,650709,668183,685120,701480,717444,732658,747585,762133,776232,789810,803099,815904,828381,840411,852214,863766,874897,885777,896295,906527,916400,926080,935450,944726,953703,962399,971015,979129,987222,995172,1002825,1010235,1017478,1024638,1031619,1038242,1044785,1051253,1057577,1063671,1069756,1075702,1081351,1087167,1092436,1097773,1102989,1108096,1113125,1117947,1122871,1127561,1132177,1136682,1141075,1145458,1149877,1154079,1158172,1162292,1166219,1170067,1173783,1177519,1181233,1184924,1188543,1192049,1195350,1198640,1202019,1205173,1208427,1211519,1214558,1217452,1220471,1223332,1226121,1228868,1231515,1234260,1236920,
84070,0,0,0,6,60,284,985,2535,5339,9733,15855,23754,33343,44473,57296,71421,86695,102758,119960,137749,155554,173953,192528,211294,229812,248437,266770,285421,303331,321334,339081,356284,373353,390193,406586,422584,438433,453809,468752,483488,497844,511748,525191,538607,551710,564370,576776,589028,601086,612609,623807,634684,645649,656161,666384,676357,686115,695479,704831,713930,722910,731461,739743,747982,755897,763759,771469,779009,786308,793427,800494,807475,814401,820784,827226,833557,839884,845860,851750,857584,863261,868840,874343,879525,884758,889911,895002,899876,904688,909517,914194,918833,923442,927925,932317,936571,940787,944914,948934,952825,956608,960458,964153,967916,971471,975056,978604,981967,985296,988566,991861,995029,998223,1001373,1004460,1007425,1010300,1013320,1016160,
84080,0,0,0,1,15,83,377,979,2243,4469,7733,12368,18118,25209,33519,43008,53494,65127,77389,90615,104256,118615,133437,148420,163385,178593,194053,209310,224594,239741,254981,269852,284493,299008,313641,327892,341908,355584,368909,382239,395432,408229,420765,432846,444861,456714,468234,479584,490544,501413,511862,522162,532141,542111,551777,561461,570807,579971,588876,597589,605976,614175,622259,630307,638034,645685,653173,660519,667669,674718,681624,688408,695042,701595,707749,714025,719998,726041,731941,737780,743398,749070,754539,759786,765002,770061,775025,779901,784742,789515,794189,798799,803304,807700,812159,816496,820706,824846,828935,832861,836845,840666,844569,848284,851882,855526,859210,862697,866139,869501,872823,876092,879344,882513,885653,888708,891725,894617,897601,
84090,0,0,0,0,1,16,84,297,827,1769,3327,5637,8833,12884,17971,23806,30549,37988,46203,55109,64732,75030,85680,96889,108318,120099,131966,144127,156349,168587,180839,193121,205526,217743,229903,241950,253791,265390,277072,288570,300037,311114,322166,332884,343633,354182,364620,374828,384756,394623,404232,413713,423059,432198,441244,450050,458824,467440,475868,484121,491973,499777,507572,515172,522608,529945,537107,543949,550755,557526,564227,570882,577214,583551,589824,595805,601708,607458,613118,618811,624356,629610,634951,640172,645157,650136,655026,659836,664571,669291,673933,678360,682760,687123,691505,695934,700098,704276,708232,712194,716059,719936,723682,727376,731029,734603,738196,741674,745171,748549,751866,755193,758419,761477,764583,767612,770676,773718,776749,
84100,0,0,0,0,0,0,16,75,237,568,1166,2142,3572,5531,8119,11287,15092,19397,24329,30073,36225,43015,50330,57680,65521,73698,82192,90898,100066,109139,118484,127997,137542,147128,156746,166400,175995,185568,195260,204849,214287,223673,233006,242203,251296,260523,269349,278195,286866,295390,303927,312359,320617,328788,336621,344582,352368,359981,367482,374838,381907,389186,396224,403108,409983,416735,423411,429751,436022,442173,448447,454527,460448,466325,472028,477710,483258,488662,494013,499317,504471,509528,514632,519596,524506,529312,534106,538697,543283,547584,551939,556330,560657,564938,569122,573290,577326,581329,585299,589164,593095,596792,600493,604208,607779,611408,614784,618187,621454,624782,627952,631239,634406,637526,640486,643594,646609,649698,652739,
84110,0,0,0,0,0,0,1,11,39,126,314,629,1158,1956,2989,4447,6234,8376,10933,13923,17337,21216,25446,30002,34784,39937,45581,51359,57615,63923,70503,77295,84078,91053,98084,105304,112543,119779,127185,134426,141799,148948,156182,163412,170404,177702,184844,192015,199124,206274,213126,220111,227083,233821,240592,247117,253780,260417,266673,272995,279187,285552,291769,297783,303825,309847,315559,321288,326857,332440,337881,343202,348702,354099,359342,364504,369479,374503,379441,384271,389122,393798,398472,403015,407506,411919,416457,420789,425089,429271,433512,437691,441634,445629,449441,453297,456946,460691,464443,468012,471625,475108,478624,482019,485390,488727,492041,495221,498332,501479,504597,507649,510622,513643,516648,519623,522450,525237,527987,
84120,0,0,0,0,0,0,1,4,18,44,130,285,533,894,1450,2243,3276,4625,6212,8138,10441,13008,15832,19121,22649,26293,30189,34400,38813,43623,48640,53763,59051,64437,69949,75598,81305,87140,93139,99176,105054,111025,117116,123339,129435,135645,141702,147781,153882,159884,165909,171846,177861,183830,189725,195512,201294,206940,212695,218364,223949,229600,235138,240517,245922,251266,256528,261720,266753,271834,276898,281879,286780,291647,296404,301215,305926,310460,315029,319479,323886,328331,332562,336671,340838,344931,348968,353061,357031,360885,364781,368549,372360,376107,379886,383451,386969,390493,393901,397405,400812,404179,407496,410684,413919,417148,420267,423338,426456,429462,432367,435426,438270,441137,443989,446854,449631,452384,455099,
84130,0,0,0,0,0,0,0,1,4,20,37,98,210,373,631,1045,1589,2268,3175,4249,5531,7101,8896,10935,13061,15513,18218,21098,24237,27570,31035,34764,38560,42504,46627,50886,55305,59758,64354,69014,73817,78588,83439,88350,93235,98223,103306,108327,113274,118357,123379,128130,133047,138026,142988,147817,152756,157626,162508,167289,172182,177035,181832,186490,191071,195741,200306,204822,209398,213763,218270,222592,226869,231261,235414,239611,243720,247823,251944,255987,259949,263827,267758,271555,275296,278999,282667,286335,290029,293594,297141,300711,304179,307633,311021,314388,317696,320921,324001,327293,330461,333517,336541,339590,342513,345561,348500,351455,354355,357249,360146,362918,365675,368423,371080,373652,376244,378876,381448,
84140,0,0,0,0,0,0,0,0,0,1,10,28,51,120,226,381,633,959,1397,1917,2585,3376,4298,5512,6832,8306,9924,11760,13797,15938,18186,20638,23177,25915,28786,31845,34909,37988,41339,44735,48342,51871,55524,59169,62891,66531,70210,74131,78063,82072,86014,90086,94047,98176,102188,106184,110202,114331,118284,122204,126257,130256,134286,138198,142240,146103,149961,153742,157681,161530,165288,168974,172828,176564,180235,183911,187494,191133,194681,198210,201759,205252,208766,212170,215566,218928,222282,225642,228827,232023,235229,238401,241533,244601,247685,250692,253629,256606,259500,262366,265230,268010,270845,273624,276427,279126,281699,284324,286930,289613,292227,294719,297225,299712,302171,304546,306918,309299,311667,
84150,0,0,0,0,0,0,0,0,0,0,1,10,19,39,64,121,195,329,504,729,1031,1420,1900,2453,3115,3886,4761,5724,6860,8101,9488,11036,12637,14392,16260,18187,20198,22338,24613,26924,29338,31740,34219,36828,39385,42181,44936,47755,50641,53571,56527,59517,62451,65447,68514,71600,74686,77693,80894,84052,87188,90380,93560,96629,99771,102825,105891,109019,112175,115218,118230,121301,124360,127461,130628,133615,136621,139626,142560,145574,148416,151295,154153,157099,159951,162759,165555,168348,171078,173727,176511,179165,181782,184420,187093,189742,192367,194863,197436,199920,202453,205001,207441,209877,212320,214725,217059,219397,221794,224102,226384,228630,230910,233186,235456,237573,239683,241791,243832,
84160,0,0,0,0,0,0,0,0,0,0,0,0,3,5,12,24,49,83,143,231,347,494,691,921,1201,1563,1952,2440,3028,3652,4350,5105,5934,6858,7887,8997,10109,11332,12603,13954,15305,16798,18425,20072,21812,23466,25232,27083,29018,30977,32959,35048,37137,39201,41308,43461,45561,47742,49960,52250,54511,56837,59147,61479,63790,66198,68468,70799,73083,75390,77719,80106,82498,84882,87278,89585,91985,94318,96684,99053,101304,103669,105925,108310,110574,112929,115204,117524,119833,122016,124248,126488,128685,130852,133076,135272,137431,139493,141629,143639,145686,147771,149820,151831,153912,155935,157863,159795,161820,163776,165713,167694,169630,171571,173529,175398,177252,179105,180919,
84170,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,6,13,27,42,66,104,148,204,301,411,553,740,923,1162,1435,1790,2153,2615,3126,3666,4203,4829,5507,6239,7016,7858,8790,9688,10642,11617,12706,13850,14999,16206,17401,18659,19955,21303,22771,24146,25590,27001,28502,30040,31591,33155,34736,36398,38088,39810,41447,43135,44870,46597,48385,50097,51771,53571,55338,57101,58874,60640,62451,64183,65960,67752,69537,71320,73122,74910,76649,78458,80269,82047,83775,85550,87378,89195,90940,92729,94498,96185,97919,99609,101311,102931,104608,106319,107934,109578,111273,112886,114462,116077,117623,119316,120942,122564,124161,125717,127254,128822,130355,131939,
84180,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,4,6,8,12,17,28,48,63,101,143,196,267,340,446,577,726,896,1068,1286,1547,1825,2114,2443,2794,3183,3625,4108,4654,5192,5741,6315,6916,7606,8310,9066,9846,10618,11425,12248,13144,13985,14904,15890,16872,17935,18913,19920,20966,22037,23079,24152,25257,26344,27507,28646,29760,30958,32152,33352,34598,35814,37017,38207,39470,40780,42085,43329,44611,45908,47078,48393,49704,51030,52336,53591,54897,56167,57433,58719,60052,61399,62747,64087,65423,66747,68033,69325,70557,71744,73010,74287,75570,76858,78154,79356,80594,81848,83008,84261,85464,86733,87943,89151,
84190,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,6,12,15,25,31,48,69,95,118,154,207,259,324,400,486,577,704,836,958,1132,1296,1481,1685,1919,2172,2409,2673,2983,3295,3622,3960,4348,4738,5176,5614,6076,6520,6981,7475,7994,8527,9091,9670,10223,10806,11385,12016,12630,13282,13931,14611,15252,15896,16594,17341,18074,18805,19534,20249,21033,21798,22554,23301,24065,24865,25677,26528,27315,28142,28996,29840,30733,31542,32432,33289,34140,34976,35802,36573,37438,38307,39065,39913,40770,41630,42498,43320,44178,45011,45836,46704,47606,48464,49396,50279,51245,52123,
84200,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,5,6,8,14,21,30,37,47,58,70,89,111,136,172,213,250,300,351,399,458,531,610,682,779,876,970,1087,1200,1338,1457,1602,1748,1919,2061,2242,2410,2629,2829,3041,3258,3499,3728,3979,4237,4520,4802,5077,5363,5644,5937,6251,6552,6867,7193,7534,7864,8206,8588,8933,9275,9685,10068,10448,10830,11248,11637,12038,12469,12891,13297,13745,14167,14631,15078,15541,15991,16409,16884,17322,17766,18242,18728,19197,19661,20136,20592,21075,21533,22027,22526,23015,
84210,22,1632,13213,43365,92781,157516,231324,308854,386963,462990,536230,605621,670769,732273,789283,842435,892064,938489,981838,1021784,1059356,1094628,1127794,1158928,1187925,1215336,1241355,1265396,1288240,1309801,1330120,1349893,1368319,1386011,1402513,1418258,1433301,1447606,1461304,1474504,1487151,1499137,1510337,1521428,1531912,1542000,1551918,1561196,1570201,1578770,1587209,1595032,1602723,1610190,1617374,1624337,1631134,1637567,1644094,1650151,1655989,1661809,1667436,1672793,1677954,1683000,1687978,1692725,1697232,1701687,1705943,1710204,1714359,1718359,1722252,1726068,1729800,1733444,1736953,1740388,1743783,1747025,1750216,1753333,1756432,1759455,1762294,1765189,1768024,1770830,1773518,1775990,1778584,1781045,1783510,1785944,1788382,1790615,1792843,1795115,1797308,1799349,1801437,1803492,1805426,1807310,1809247,1811192,1813090,1814873,1816631,1818349,1820056,1821786,1823394,1825014,1826605,1828071,1829598,
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84600,0,17,351,2058,6982,16415,30696,49564,71973,97382,125104,154218,184427,214904,245502,275404,305146,334316,363024,390472,417237,443136,468267,492457,515759,538374,560159,581130,601158,620591,639082,657231,674758,691496,707544,723275,738454,753077,767105,780761,794166,806767,819169,831168,842716,853873,864568,875151,885442,895333,904997,914456,923379,932155,940740,948914,957134,964948,972508,980037,987345,994466,1001404,1008117,1014458,1020847,1027017,1033164,1039032,1044725,1050404,1055833,1061114,1066316,1071366,1076313,1081188,1086013,1090664,1095397,1099847,1104273,1108514,1112763,1116800,1120910,1124830,1128700,1132484,1136227,1139949,1143481,1147055,1150589,1154067,1157429,1160769,1163939,1167047,1170172,1173161,1176091,1179005,1181811,1184643,1187525,1190340,1192959,1195515,1197994,1200568,1203069,1205445,1207896,1210361,1212725,1215027,1217286,1219577,
84610,0,0,30,368,1532,4506,9934,17942,28868,42447,58275,75727,94609,114554,135514,156861,178679,200411,222267,243947,265448,286382,307036,327455,347359,366584,385499,403666,421548,438935,455686,472193,487908,503409,518513,533033,547326,561262,574562,587588,600307,612621,624783,636214,647479,658425,669076,679507,689534,699287,708734,717917,726957,735835,744502,752664,760681,768703,776388,783904,791265,798431,805552,812385,819087,825549,832017,838218,844317,850250,856136,861789,867464,872878,878136,883348,888406,893306,898231,903027,907896,912477,917031,921497,925815,930010,934140,938179,942180,946075,949998,953812,957444,961124,964713,968174,971650,974984,978373,981685,984934,988087,991195,994223,997148,999995,1002936,1005848,1008493,1011268,1013948,1016653,1019185,1021890,1024352,1026830,1029301,1031771,1034138,
84620,0,1,15,121,615,1998,4758,9509,16159,24870,35403,47767,61519,76513,92499,109335,126572,144342,162098,180250,198196,216347,234137,251923,269091,286031,302833,319224,335186,351083,366526,381359,396260,410492,424489,438044,451512,464756,477431,489727,501823,513411,524480,535504,546462,556960,567192,577163,586874,596216,605604,614491,623417,632051,640457,648628,656621,664430,672033,679400,686657,693764,700795,707516,714045,720619,726959,733134,739163,745134,751030,756930,762616,768073,773345,778572,783623,788724,793723,798583,803363,808175,812730,817172,821567,825929,830251,834406,838448,842400,846413,850258,854078,857770,861519,865034,868590,872053,875476,878885,882176,885350,888510,891753,894872,897927,900935,903893,906684,909577,912375,915141,917845,920511,923210,925707,928205,930666,933167,
84630,0,0,0,30,194,707,1853,4089,7603,12691,19192,26950,36102,46475,57975,70170,83036,96486,110412,124617,139073,153715,168481,183230,197914,212262,226623,240837,254839,268628,282323,295735,308813,321582,334298,346579,358739,370541,382089,393369,404546,415400,425707,435970,446026,456078,465776,475180,484379,493350,502256,511084,519511,527871,536019,543962,551811,559358,566663,573925,580945,587913,594684,601270,607747,614190,620411,626481,632424,638358,644270,649866,655668,661194,666500,671779,676917,681885,686848,691621,696271,700941,705585,710131,714535,718817,723091,727273,731400,735429,739264,743099,746983,750725,754423,757986,761434,764903,768263,771725,774973,778214,781534,784667,787685,790763,793761,796683,799546,802414,805243,808120,810848,813512,816076,818750,821245,823769,826403,
84640,0,0,0,5,39,212,648,1603,3241,5749,9231,13634,18934,25361,32727,40751,49580,59022,68998,79402,90131,101117,112425,123927,135450,146922,158743,170380,182030,193548,204803,216323,227466,238342,249124,259760,270117,280367,290651,300688,310728,320302,329836,339403,348407,357346,366254,375025,383504,391788,399881,408009,415832,423603,431185,438626,445830,452871,459860,466761,473612,480364,486825,493207,499421,505551,511448,517410,523198,528896,534519,540022,545448,550708,555835,560895,565813,570644,575527,580203,584765,589336,593681,597992,602302,606593,610806,614857,618956,622911,626796,630618,634335,638040,641715,645334,648923,652438,655879,659303,662637,665886,669003,672127,675145,678273,681181,684140,687091,689935,692649,695403,698190,700889,703583,706178,708795,711301,713803,
84650,0,0,0,0,4,27,149,417,1011,1959,3535,5495,8273,11631,15845,20472,25790,31639,37949,44787,52101,59772,67694,75765,83987,92510,101168,109820,118764,127809,136767,145717,154601,163668,172513,181183,189875,198654,207371,215781,224102,232491,240620,248732,256658,264488,272191,279908,287419,294879,302126,309154,315970,322881,329652,336285,342885,349385,355701,361987,367950,374064,380063,385887,391445,397083,402767,408347,413821,419000,424115,429173,434181,439022,443947,448622,453261,457870,462404,466883,471214,475550,479712,483903,487971,492026,495882,499766,503539,507436,511205,514899,518518,522129,525713,529217,532765,536137,539414,542790,546072,549158,552314,555313,558346,561330,564326,567164,570093,572897,575685,578427,581102,583701,586384,588938,591519,594057,596549,
84660,0,0,0,0,0,11,55,167,427,927,1698,2841,4437,6546,9157,12263,15812,19849,24419,29373,34623,40313,46374,52589,59238,66036,72925,79974,87301,94753,102201,109720,117175,124677,132109,139519,146973,154362,161759,169259,176750,184114,191387,198543,205551,212395,219169,225923,232601,239215,245850,252327,258694,264902,271092,277306,283295,289356,295239,301061,306677,312196,317768,323131,328496,333662,338851,343900,349014,353945,358793,363655,368465,373126,377871,382367,386684,391076,395299,399513,403720,407758,411700,415647,419642,423543,427384,431199,434915,438556,442103,445588,449078,452488,455838,459102,462378,465636,468946,472088,475249,478233,481248,484186,487182,490064,492862,495715,498518,501236,503895,506564,509128,511715,514270,516804,519308,521744,524151,
84670,0,0,0,0,0,3,13,51,158,373,758,1362,2211,3345,4854,6648,8944,11555,14571,17838,21503,25418,29868,34394,39202,44183,49532,54908,60475,66207,72081,77896,83891,89954,96048,102356,108512,114713,120852,126964,133224,139365,145457,151565,157624,163672,169520,175480,181420,187136,192976,198605,204281,209716,215212,220736,226072,231363,236506,241654,246831,252036,257100,262003,266802,271524,276245,280871,285428,289879,294458,298881,303329,307793,311927,316141,320261,324344,328399,332263,336213,340099,343906,347624,351322,354976,358623,362242,365691,369206,372550,375993,379329,382620,385858,389040,392204,395285,398405,401425,404388,407344,410232,413075,415837,418601,421370,424103,426772,429557,432186,434632,437143,439616,442131,444514,446978,449368,451711,
84680,0,0,0,0,0,0,1,9,41,123,273,530,945,1516,2310,3303,4572,6073,7876,9920,12197,14744,17567,20602,23922,27412,31027,34854,38873,43042,47284,51637,56003,60552,65376,70201,75084,79953,84859,89837,94771,99767,104702,109795,114948,119901,124912,129809,134638,139486,144385,149283,154146,158954,163627,168295,172933,177719,182382,186982,191518,195953,200331,204747,209099,213301,217598,221733,225769,229840,233910,237837,241736,245457,249300,253037,256831,260558,264322,267911,271531,275190,278612,282088,285538,288811,292123,295340,298597,301742,304936,308075,311151,314110,317078,320013,322890,325774,328650,331423,334112,336827,339518,342203,344843,347407,349941,352453,355071,357602,360130,362522,364893,367228,369517,371819,374106,376357,378577,
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84700,0,0,0,0,0,0,0,0,0,4,11,26,63,141,243,415,636,952,1351,1839,2440,3166,3966,4849,5851,7025,8309,9752,11272,12918,14692,16643,18586,20631,22747,25031,27365,29731,32125,34595,37166,39757,42456,45176,47886,50722,53519,56402,59215,62076,64920,67790,70679,73612,76608,79645,82583,85526,88488,91419,94374,97323,100206,103102,105981,108897,111774,114694,117572,120406,123197,125996,128848,131520,134281,137036,139707,142373,145063,147754,150348,153016,155631,158153,160736,163275,165610,168065,170565,173045,175541,177924,180295,182661,184995,187371,189655,191972,194237,196503,198662,200792,202928,205096,207215,209204,211273,213319,215299,217280,219363,221294,223255,225267,227214,229132,231041,232903,234793,
84710,0,0,0,0,0,0,0,0,0,2,4,9,15,27,63,121,192,304,468,682,941,1230,1581,2017,2532,3138,3773,4501,5352,6289,7319,8376,9526,10750,12004,13298,14685,16218,17783,19406,21076,22867,24690,26542,28391,30367,32342,34335,36367,38434,40480,42545,44631,46726,48934,51129,53373,55549,57729,59947,62243,64443,66685,68982,71201,73357,75622,77792,80059,82337,84594,86899,89155,91376,93614,95812,97974,100139,102297,104567,106793,108915,110952,113078,115261,117345,119403,121423,123454,125400,127502,129523,131538,133552,135510,137409,139296,141253,143142,145000,146825,148750,150604,152472,154344,156134,157955,159765,161562,163300,165050,166759,168457,170107,171793,173394,175089,176735,178328,
84720,0,0,0,0,0,0,0,0,0,0,0,1,1,5,11,14,40,59,100,156,213,312,447,591,784,1009,1283,1539,1865,2298,2724,3220,3756,4388,5079,5813,6582,7381,8263,9192,10127,11094,12170,13202,14275,15423,16605,17751,18976,20249,21509,22800,24158,25462,26844,28313,29751,31223,32769,34294,35774,37273,38885,40452,42003,43563,45131,46783,48387,50014,51586,53176,54843,56367,57925,59540,61245,62869,64488,66139,67725,69338,70975,72605,74269,75927,77522,79078,80730,82338,83887,85435,87016,88535,90092,91609,93132,94665,96262,97743,99226,100698,102200,103701,105181,106598,108018,109490,110961,112397,113789,115191,116579,117953,119327,120684,122071,123448,124817,
84730,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,4,6,10,17,22,31,47,67,97,135,184,248,336,438,560,700,855,1030,1249,1498,1792,2099,2394,2720,3090,3514,3913,4388,4878,5372,5906,6469,7059,7677,8316,9030,9740,10431,11201,11911,12684,13451,14302,15166,16075,16936,17789,18685,19571,20438,21383,22279,23241,24260,25254,26242,27202,28186,29154,30174,31199,32257,33302,34319,35423,36474,37561,38634,39688,40824,41820,42899,43986,45003,46098,47206,48269,49354,50463,51541,52532,53625,54686,55794,56809,57888,59001,60037,61133,62205,63247,64320,65382,66389,67400,68378,69445,70467,71568,72572,73643,74649,75569,76601,
84740,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,8,11,18,28,39,54,68,89,117,154,187,235,286,346,425,507,606,713,824,948,1084,1230,1381,1563,1732,1921,2121,2346,2560,2794,3050,3324,3617,3925,4239,4580,4886,5202,5565,5915,6289,6693,7100,7507,7914,8343,8756,9193,9617,10088,10562,11027,11533,12005,12515,13046,13573,14135,14674,15199,15747,16308,16834,17372,17954,18500,19073,19613,20199,20811,21413,21961,22551,23162,23737,24345,24935,25511,26146,26784,27339,27958,28590,29180,29783,30405,31071,31698,32286,32900,33530,34131,34766,35382,36007,36668,
84750,0,0,20,344,2672,10839,28931,59496,103067,157720,221119,290208,362590,436351,509308,580720,649233,715033,777421,836425,891880,943563,991854,1036916,1079049,1118384,1155378,1190161,1222559,1253169,1281853,1308601,1333634,1357057,1379296,1400299,1420188,1438956,1456391,1472999,1488851,1503925,1518021,1531597,1544409,1556372,1567926,1579066,1589634,1599688,1609256,1618325,1627095,1635621,1643599,1651087,1658490,1665721,1672522,1679159,1685386,1691400,1697133,1702760,1708259,1713510,1718470,1723418,1728169,1732618,1736942,1741020,1745208,1749215,1752995,1756751,1760213,1763606,1766951,1770252,1773269,1776353,1779369,1782306,1785195,1787968,1790683,1793299,1795791,1798310,1800781,1803089,1805422,1807579,1809736,1811900,1813974,1815977,1817911,1819823,1821621,1823444,1825214,1826950,1828670,1830298,1831853,1833353,1834823,1836294,1837749,1839206,1840583,1841919,1843168,1844477,1845804,1847002,1848278,
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84960,0,0,1,17,138,676,2316,5623,11265,19551,30575,43968,60144,78485,98416,119704,142215,165249,188679,212598,236467,260195,283712,306985,329983,352274,374054,395251,416092,436103,455494,474456,492754,510467,527722,544199,560298,575850,590846,605326,619410,632914,646069,658521,670796,682600,694160,705345,716167,726574,736521,746461,755914,764937,774028,782688,791145,799350,807199,814809,822286,829509,836389,843095,849578,856076,862359,868416,874239,880000,885676,891252,896565,901784,906843,911748,916457,921061,925743,930163,934453,938685,942863,946940,950886,954762,958588,962176,965703,969169,972619,975922,979254,982479,985611,988593,991567,994536,997407,1000208,1002999,1005606,1008216,1010883,1013470,1016021,1018492,1020884,1023242,1025508,1027685,1029835,1032060,1034129,1036160,1038104,1040113,1042111,1043996,
84970,0,0,0,0,20,94,395,1233,2992,5956,10277,16026,23599,32632,43241,55171,68208,82239,97117,112698,128690,145255,162087,178766,195260,212152,228856,245321,261512,277537,293232,308576,323913,338692,352914,366722,380249,393643,406788,419319,431812,443849,455691,467115,477923,488782,499077,509226,519093,528819,538174,547231,556120,564655,573098,581238,589161,596934,604630,611959,619200,626206,632962,639488,645975,652185,658186,664159,670078,675687,681291,686660,691978,697121,702071,706948,711641,716307,720870,725340,729646,733967,738190,742185,746152,750085,753941,757618,761293,765044,768522,771876,775342,778632,781813,784902,787863,790865,793752,796598,799454,802245,804973,807729,810352,812926,815402,817877,820258,822658,824992,827356,829633,831855,834000,836069,838158,840135,842206,
84980,0,0,0,1,8,34,165,521,1322,2772,5175,8632,13245,19106,26110,34154,43340,53397,64286,75968,88296,101049,114061,127279,140801,154486,168272,182027,195803,209379,222878,236005,249139,261925,274491,286730,299064,311135,322873,334177,345331,356250,366977,377397,387769,397661,407444,416839,426082,434946,443809,452612,460903,469130,477090,484884,492325,499774,506889,513814,520572,527107,533489,539749,546034,552161,557985,563684,569434,574873,580406,585565,590688,595767,600586,605461,610112,614773,619223,623628,627908,632124,636287,640324,644167,648085,651821,655516,659095,662678,666142,669445,672786,675972,679163,682296,685354,688385,691296,694246,697079,699768,702450,705167,707777,710421,712905,715320,717731,720192,722471,724702,726946,729202,731301,733414,735506,737602,739593,
84990,0,0,0,0,3,13,47,152,453,1139,2281,4100,6687,10112,14365,19479,25414,32288,39740,47888,56648,65760,75578,85740,96208,106917,117844,128896,140129,151208,162208,173216,183896,194817,205380,216093,226652,237027,247257,257339,267161,276696,286260,295658,304807,313684,322331,331016,339405,347613,355577,363490,371076,378600,385833,393086,400156,406999,413586,420129,426430,432806,438991,445081,450954,456708,462204,467629,472964,478270,483474,488487,493327,498154,502968,507562,512068,516486,520750,524958,529066,533141,537166,541137,544895,548625,552214,555778,559338,562839,566238,569540,572706,575886,578890,581958,584884,587874,590842,593583,596323,599014,601668,604360,606905,609420,611915,614292,616673,618969,621255,623464,625784,627997,630173,632310,634402,636383,638367,
85000,0,0,0,0,1,3,11,60,156,402,881,1721,2972,4671,7026,9941,13468,17587,22373,27689,33573,39993,46764,53832,61403,69326,77223,85447,94026,102604,111241,119914,128460,137235,145965,154539,163130,171693,180131,188532,196649,204912,213083,221032,228809,236501,244046,251572,258939,266067,273114,280069,286906,293561,300231,306708,313020,319231,325520,331447,337241,342850,348327,353809,359320,364679,369842,374893,379792,384627,389376,394172,398676,403251,407674,411859,416262,420486,424478,428489,432429,436212,439958,443638,447296,450858,454329,457656,461001,464349,467439,470686,473895,477082,480049,482926,485787,488629,491331,494130,496767,499318,501857,504351,506845,509330,511740,514043,516374,518718,520945,523130,525323,527456,529598,531674,533771,535701,537643,
85010,0,0,0,0,0,1,1,5,41,121,272,598,1063,1846,2981,4466,6282,8516,11230,14339,17913,21805,25961,30758,35734,40917,46379,51974,57787,63904,70203,76611,83165,89752,96489,103107,109783,116445,123028,129695,136353,142938,149442,155909,162260,168761,175106,181234,187412,193527,199516,205376,211180,216917,222618,228093,233530,238986,244227,249389,254495,259459,264610,269444,274057,278839,283515,288166,292655,297122,301449,305636,309808,313763,317774,321682,325548,329327,333019,336682,340272,343775,347297,350658,354023,357433,360640,363890,366888,369855,372813,375782,378703,381557,384296,386971,389666,392293,394864,397411,400000,402496,404977,407308,409606,411857,414132,416381,418561,420703,422853,424944,426996,428998,431023,432999,434918,436761,438611,
85020,0,0,0,0,0,0,1,5,19,53,145,315,586,1046,1721,2652,3858,5378,7173,9309,11691,14498,17713,21013,24694,28570,32684,37120,41835,46587,51390,56409,61833,67186,72517,77871,83402,88905,94571,100124,105701,111247,116783,122485,128037,133510,138989,144516,149941,155138,160513,165742,170744,175978,180986,185878,190731,195650,200482,205231,209635,214245,218645,223050,227420,231833,235942,240105,244126,248154,252162,256018,259785,263548,267129,270773,274391,277908,281305,284646,287961,291251,294500,297664,300809,303873,306893,309812,312638,315446,318289,321173,323940,326661,329286,331871,334386,336892,339375,341804,344226,346613,348914,351200,353396,355641,357798,359937,362060,364119,366129,368130,370169,372117,374048,375939,377798,379654,381452,
85030,0,0,0,0,0,0,0,0,5,23,53,117,247,471,823,1299,1994,2879,3951,5325,6882,8762,10856,13190,15728,18591,21689,24865,28290,31945,35735,39692,43789,47867,52055,56370,60790,65282,69802,74397,79062,83678,88265,92978,97501,102172,106691,111269,115728,120288,124820,129333,133865,138259,142620,146818,150997,155257,159345,163494,167610,171583,175488,179347,183242,187095,190790,194494,198160,201811,205357,208871,212298,215792,219167,222417,225756,228970,232163,235192,238307,241336,244201,247164,250049,252882,255663,258409,261083,263783,266326,268946,271453,273953,276298,278787,281106,283432,285715,288114,290344,292556,294733,296775,298893,300994,302996,305004,306977,309000,310788,312668,314528,316309,318135,319954,321822,323562,325327,
85040,0,0,0,0,0,0,0,1,1,3,15,49,97,177,341,579,914,1408,1999,2797,3702,4866,6165,7691,9361,11231,13356,15596,17948,20527,23112,26012,28968,32102,35149,38312,41632,45134,48734,52268,55786,59287,62939,66635,70321,74026,77676,81404,85261,88978,92669,96469,100255,103820,107504,111117,114731,118323,121940,125528,129039,132523,135940,139289,142801,146175,149360,152556,155762,158939,162029,165164,168139,171078,174079,176956,179830,182619,185418,188181,190877,193638,196279,198996,201577,204117,206616,209054,211562,213960,216322,218727,221040,223357,225613,227798,229929,232059,234162,236287,238349,240446,242413,244305,246165,248032,249861,251768,253694,255491,257242,259018,260794,262448,264069,265711,267300,268959,270537,
85050,0,0,0,0,0,0,0,0,0,1,1,7,27,67,137,251,413,650,991,1395,1884,2478,3235,4084,5048,6195,7472,8836,10431,12082,13891,15758,17760,19956,22151,24503,26898,29396,31838,34422,37056,39663,42431,45195,48028,50893,53701,56632,59655,62559,65563,68472,71495,74486,77461,80460,83476,86414,89356,92150,95053,97907,100647,103406,106316,109002,111791,114508,117288,120002,122686,125280,127850,130445,132975,135555,138022,140530,142940,145294,147739,150052,152340,154672,156958,159269,161490,163666,165818,167979,170002,172093,174148,176190,178247,180166,182103,184035,185907,187758,189659,191522,193299,195095,196816,198452,200139,201781,203447,205065,206747,208362,209918,211484,213064,214672,216183,217649,219102,
85060,0,0,0,0,0,0,0,0,0,0,1,5,8,13,37,75,136,231,379,554,759,1086,1457,1922,2381,2962,3686,4454,5350,6296,7303,8487,9751,11092,12479,14014,15514,17179,18904,20622,22466,24294,26235,28201,30196,32136,34194,36248,38298,40411,42596,44799,46969,49152,51323,53529,55758,58092,60336,62506,64769,67016,69324,71594,73758,75958,78218,80349,82549,84649,86764,89011,91139,93196,95285,97359,99496,101499,103520,105526,107580,109563,111459,113333,115234,117187,119117,120938,122817,124643,126421,128167,129865,131616,133339,135095,136815,138490,140173,141789,143412,144932,146461,147957,149493,150998,152491,153955,155396,156819,158253,159638,160981,162347,163700,165031,166379,167643,168911,
85070,0,0,0,0,0,0,0,0,0,0,0,1,2,5,11,22,50,80,130,190,293,427,593,817,1078,1415,1776,2168,2635,3159,3794,4434,5205,6020,6879,7869,8817,9815,10957,12139,13343,14613,15922,17265,18675,20075,21526,22914,24441,26029,27563,29130,30793,32369,34025,35694,37406,39134,40859,42512,44271,45992,47728,49496,51141,52870,54557,56299,57959,59625,61380,63131,64781,66490,68136,69818,71451,73177,74898,76546,78238,79882,81517,83135,84688,86292,87811,89352,90866,92449,93953,95438,96905,98299,99811,101235,102681,104077,105438,106838,108209,109607,110939,112251,113588,114863,116161,117427,118693,119972,121159,122393,123585,124752,125876,127041,128206,129367,130448,
85080,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,6,14,18,32,48,83,128,181,262,379,515,664,878,1110,1393,1710,2048,2422,2854,3319,3837,4365,4940,5572,6227,6941,7662,8396,9247,10092,10889,11824,12770,13751,14724,15666,16686,17691,18719,19843,20991,22110,23288,24392,25595,26762,28010,29214,30442,31678,32862,34092,35393,36695,37978,39220,40490,41787,43006,44279,45539,46757,48029,49254,50471,51737,52942,54173,55443,56663,57880,58997,60170,61397,62584,63745,64947,66132,67240,68312,69474,70585,71728,72851,73950,75011,76093,77188,78256,79268,80333,81398,82435,83406,84438,85452,86480,87487,88499,89488,90375,91364,92272,93300,
85090,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,8,14,18,22,39,73,119,163,227,321,414,522,654,795,968,1148,1353,1573,1815,2069,2395,2724,3074,3457,3890,4312,4745,5200,5681,6218,6764,7297,7886,8493,9128,9749,10449,11126,11876,12619,13341,14039,14847,15644,16383,17177,17916,18709,19474,20246,21065,21870,22705,23531,24352,25197,26045,26885,27674,28580,29389,30233,31089,31935,32796,33645,34500,35355,36194,37057,37926,38765,39555,40370,41202,42043,42891,43730,44529,45368,46159,46950,47751,48567,49355,50171,50913,51679,52437,53240,54029,54778,55492,56250,57020,57772,58529,59278,59991,60734,
85100,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,8,11,15,21,28,40,56,79,104,131,161,199,232,276,351,422,520,614,719,836,969,1087,1238,1400,1566,1755,1937,2143,2370,2615,2870,3132,3373,3672,3959,4260,4538,4834,5178,5528,5902,6303,6671,7037,7423,7790,8218,8621,9009,9468,9898,10292,10734,11187,11655,12106,12548,13035,13499,13969,14455,14965,15432,15951,16408,16857,17330,17788,18237,18686,19153,19631,20149,20668,21167,21637,22130,22610,23127,23616,24127,24621,25144,25641,26125,26627,27094,27586,28101,28599,29091,29574,30040,30456,30932,31435,31972,
85110,0,515,5981,24756,61116,112695,175656,245161,318001,390766,461257,528744,593222,652985,709193,761912,810961,856858,899410,939235,976370,1010790,1043146,1073234,1101537,1127794,1152266,1175537,1197441,1217937,1237316,1255836,1273224,1289922,1305654,1320448,1334655,1347995,1360746,1372876,1384531,1395459,1406053,1416271,1425879,1435069,1444033,1452587,1460666,1468540,1476077,1483368,1490235,1496888,1503353,1509645,1515622,1521232,1526915,1532185,1537284,1542333,1547186,1551822,1556299,1560710,1565037,1569038,1572988,1576760,1580541,1584192,1587755,1591129,1594438,1597697,1600853,1603811,1606825,1609757,1612563,1615312,1618036,1620660,1623186,1625523,1627816,1630138,1632497,1634693,1636909,1639095,1641172,1643229,1645168,1647080,1649049,1650865,1652709,1654445,1656176,1657860,1659482,1661090,1662685,1664232,1665784,1667165,1668658,1670067,1671517,1672915,1674264,1675516,1676820,1678091,1679292,1680471,1681676,
85120,0,20,560,3675,12544,29489,54717,87443,125225,167147,211254,256115,301790,346491,390498,432740,474191,513591,551443,587035,621133,653276,683757,712991,740645,766950,792149,816040,838543,860213,880639,899904,918834,936646,953386,969690,985104,999911,1013969,1027415,1040544,1052869,1064654,1076065,1087043,1097637,1107671,1117317,1126687,1135682,1144487,1153075,1161107,1169150,1176849,1184119,1191260,1198012,1204653,1211022,1217132,1223145,1228934,1234478,1239947,1245198,1250270,1255281,1260067,1264664,1269230,1273559,1277830,1282055,1286167,1290114,1293858,1297566,1301287,1304826,1308231,1311583,1314992,1318270,1321314,1324299,1327239,1330164,1332955,1335663,1338350,1340977,1343626,1346077,1348477,1350884,1353246,1355561,1357870,1360165,1362324,1364526,1366605,1368585,1370549,1372451,1374315,1376156,1377986,1379784,1381479,1383139,1384780,1386434,1388022,1389535,1391103,1392642,1394129,
85130,0,2,100,1011,4338,11623,24255,42206,65073,91980,122275,154691,188451,222975,257562,291664,325476,358666,390789,422103,451828,480750,508987,535559,561250,585788,609460,631878,653576,674408,694183,713280,731314,748707,765543,781646,796956,811725,825674,839387,852551,865180,877437,889092,900255,911123,921641,931859,941397,950749,959984,968654,977193,985393,993434,1001072,1008639,1015798,1022705,1029488,1035987,1042343,1048508,1054567,1060262,1065950,1071440,1076693,1081747,1086651,1091449,1096186,1100807,1105388,1109595,1113852,1117902,1121891,1125861,1129701,1133322,1137035,1140506,1143885,1147373,1150657,1153772,1156919,1159922,1162932,1165888,1168707,1171526,1174291,1177016,1179654,1182270,1184725,1187158,1189491,1191798,1194123,1196314,1198484,1200569,1202745,1204854,1206842,1208847,1210863,1212818,1214669,1216489,1218253,1220057,1221753,1223496,1225147,1226807,
85140,0,0,10,195,1038,3567,8628,16685,28355,43512,61370,81531,104059,127324,152073,177130,202414,228042,253152,278056,302713,326968,350175,373057,395554,416908,437838,457912,477456,496286,514325,531877,548804,565189,581133,596222,610773,624934,638530,651745,664516,676672,688699,700181,711214,721931,732234,742300,752202,761610,770811,779658,788270,796591,804626,812439,819805,827085,834280,841140,848016,854445,860604,866616,872678,878331,883987,889463,894779,899989,904982,909869,914624,919220,923753,928289,932518,936728,940858,944761,948690,952548,956345,960040,963636,967084,970451,973787,977034,980222,983336,986352,989303,992239,995078,997916,1000543,1003177,1005770,1008334,1010860,1013293,1015680,1018020,1020392,1022653,1024877,1027033,1029164,1031226,1033338,1035307,1037237,1039233,1041132,1043029,1044876,1046680,1048435,
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85160,0,0,0,5,44,293,961,2365,4981,8804,14146,20925,29255,38960,49802,61628,74093,87483,101453,115780,130265,144999,159971,174874,189741,204398,219055,233373,247468,261451,274983,288394,301618,314500,327104,339298,351172,362814,373927,385005,395616,406065,416376,426480,436090,445556,454545,463361,472070,480605,488747,496701,504385,511973,519337,526565,533695,540559,547453,553976,560456,566725,572825,578901,584718,590413,595883,601175,606410,611577,616585,621516,626280,631017,635529,639887,644222,648261,652350,656427,660334,664186,667874,671550,675061,678623,682180,685589,688815,692055,695348,698452,701398,704419,707322,710127,712962,715716,718403,721069,723609,726179,728744,731193,733640,736014,738315,740665,742956,745044,747135,749271,751272,753264,755214,757103,758971,760928,762790,
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85180,0,0,0,0,2,28,105,357,880,1810,3337,5489,8321,11988,16331,21460,27346,33976,40975,48577,56717,65139,73806,82845,92005,101426,110821,120412,130087,139588,148965,158333,167649,177025,186363,195452,204474,213371,222092,230721,239146,247263,255271,263237,271006,278657,286051,293420,300642,307722,314548,321339,327890,334331,340764,347046,353146,359092,364912,370565,376156,381723,387094,392308,397447,402314,407156,412085,416893,421464,426025,430400,434733,438981,443232,447186,451284,455243,459105,462830,466450,470034,473545,477070,480499,483858,487146,490353,493478,496599,499652,502573,505503,508393,511115,513784,516375,518970,521584,524136,526667,529164,531565,533885,536279,538548,540811,542984,545242,547395,549538,551595,553643,555619,557551,559468,561397,563288,565082,
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85270,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,5,10,13,18,35,51,91,137,189,264,351,448,568,734,909,1104,1334,1602,1869,2181,2530,2888,3284,3677,4118,4625,5116,5630,6176,6813,7429,8049,8723,9407,10132,10823,11570,12308,13114,13877,14641,15457,16314,17139,18006,18853,19716,20616,21528,22436,23289,24171,25125,26041,26930,27873,28843,29827,30716,31652,32535,33464,34420,35325,36274,37241,38129,38998,39956,40864,41861,42777,43639,44555,45478,46341,47277,48176,49081,49973,50803,51662,52591,53495,54368,55274,56115,57009,57839,58675,59486,60343,61163,61969,62861,63669,64455,65240,66038,66822,67611,68377,69065,69837,
85280,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,10,12,18,35,49,76,107,137,177,213,260,327,409,479,580,696,820,931,1083,1248,1414,1604,1852,2078,2306,2554,2791,3083,3365,3691,4002,4336,4722,5070,5433,5825,6187,6595,7048,7455,7914,8371,8793,9265,9715,10193,10678,11158,11636,12113,12569,13072,13561,14065,14574,15067,15560,16096,16661,17224,17802,18387,18974,19525,20051,20589,21136,21674,22181,22741,23293,23836,24365,24927,25512,26042,26553,27074,27614,28134,28688,29223,29729,30227,30743,31272,31810,32349,32903,33436,33940,34447,34972,35492,36009,36522,37054,37569,
85290,25,2170,15660,48777,100684,166253,238369,312989,386977,458275,526159,589957,649549,704534,755799,803398,847645,888670,926555,961926,995225,1025780,1054819,1081424,1106612,1130241,1152445,1173220,1192499,1211216,1228583,1245236,1260672,1275545,1289509,1302826,1315634,1327790,1339158,1350196,1360615,1370366,1379909,1389080,1397861,1406248,1414386,1422018,1429653,1436847,1443736,1450354,1456659,1462777,1468752,1474479,1479697,1485006,1490152,1495233,1499952,1504582,1509057,1513496,1517670,1521775,1525682,1529411,1533201,1536822,1540387,1543720,1546984,1550171,1553259,1556334,1559261,1562139,1564943,1567584,1570309,1572927,1575418,1577876,1580293,1582643,1584927,1587258,1589477,1591653,1593702,1595760,1597748,1599639,1601515,1603346,1605130,1606954,1608626,1610275,1611864,1613475,1615082,1616687,1618251,1619704,1621122,1622517,1623945,1625325,1626621,1627955,1629213,1630457,1631709,1632881,1634067,1635271,1636396,
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85310,0,32,608,3516,11245,25187,45468,71517,101685,135529,170647,206744,243417,279470,314980,349607,383293,415704,446916,476650,505672,533035,559396,584392,608392,631378,653259,674143,693802,712857,731092,748516,765300,781017,796265,811209,825214,838698,851488,863877,875844,887473,898584,909198,919543,929500,938986,948191,956967,965602,973694,981650,989277,996708,1003912,1010884,1017658,1024124,1030484,1036693,1042634,1048600,1054126,1059563,1064870,1069975,1074976,1079904,1084668,1089210,1093686,1097936,1102344,1106325,1110384,1114221,1118072,1121814,1125442,1129086,1132510,1135776,1139128,1142293,1145496,1148547,1151623,1154559,1157423,1160239,1162890,1165481,1168158,1170688,1173192,1175693,1178169,1180393,1182656,1184828,1186932,1188992,1191163,1193234,1195286,1197272,1199173,1201025,1202917,1204709,1206441,1208190,1209888,1211570,1213193,1214697,1216313,1217825,1219355,
85320,0,2,98,853,3487,9265,19050,33090,50768,71331,94591,119527,145780,172408,199312,226381,253349,279895,305932,331547,356167,379980,403311,425777,447420,468130,487810,506880,525255,542804,559972,576476,592309,607519,622033,636098,649625,662895,675486,687670,699498,710928,721788,732302,742587,752540,761967,771305,780192,788782,797046,805202,813085,820711,828084,835285,842154,849013,855542,861885,868045,873995,879763,885338,890803,896141,901307,906444,911258,916137,920813,925426,929908,934352,938531,942637,946733,950766,954578,958294,961911,965477,968995,972400,975592,978718,981788,984828,987849,990779,993578,996310,999069,1001775,1004474,1007038,1009522,1012002,1014360,1016778,1019086,1021334,1023578,1025755,1027824,1029924,1032032,1034079,1036036,1037953,1039800,1041622,1043498,1045182,1046874,1048577,1050264,1051887,1053532,
85330,0,0,12,132,763,2500,6002,11872,19967,30718,43504,57985,73941,91249,109316,128066,147067,166349,186037,205214,224297,243222,261847,280204,297942,315042,331849,348075,364108,379675,394793,409229,423229,437033,450366,463189,475809,487999,499654,511028,521945,532416,542662,552602,562369,571933,581069,590018,598715,606996,615206,623072,630578,638188,645508,652578,659328,665834,672232,678509,684512,690353,696090,701685,707111,712495,717796,722878,727771,732588,737256,741888,746311,750626,754880,758951,763060,767090,770990,774777,778396,782052,785641,789087,792482,795760,798954,802040,805144,808168,811063,814106,816894,819785,822521,825179,827814,830428,832949,835444,837831,840248,842564,844837,847063,849250,851398,853525,855556,857667,859595,861558,863498,865510,867351,869097,870906,872610,874291,
85340,0,0,2,40,280,1126,3009,6198,11201,17934,26571,36855,48309,61219,75058,89633,105011,120525,136371,152474,168467,184388,200324,215968,231281,246302,261195,275814,289996,303888,317496,330794,343563,356091,368331,380254,391864,403113,414250,424731,435115,445044,454905,464405,473669,482606,491240,499734,508139,516141,523972,531479,538680,545976,553204,560142,566813,573198,579448,585677,591762,597660,603296,608806,614112,619344,624439,629483,634504,639191,643917,648442,652920,657312,661473,665537,669635,673581,677532,681369,685117,688746,692202,695681,699040,702394,705660,708822,711955,715019,717995,720915,723620,726431,729269,732004,734602,737164,739629,742027,744507,746861,749176,751436,753666,755960,758119,760200,762281,764391,766421,768390,770310,772225,774132,775912,777690,779505,781175,
85350,0,0,0,11,89,416,1230,2899,5596,9690,14983,21644,29551,38418,48334,59052,70506,82212,94648,107376,120057,133091,146056,159095,171903,184677,197683,210293,222869,234908,246861,258582,270179,281459,292323,303097,313595,323771,333556,343220,352642,361891,370826,379612,388466,396750,404784,412597,420389,427960,435601,442785,449804,456594,463243,469643,476076,482288,488357,494294,499985,505531,510999,516458,521642,526732,531626,536455,541177,545857,550401,554700,559189,563443,567684,571668,575591,579384,583247,586877,590518,594070,597470,600907,604286,607475,610552,613706,616776,619762,622795,625593,628354,631153,633905,636655,639267,641821,644337,646759,649136,651551,653844,656233,658424,660594,662810,664868,667047,669082,671143,673187,675187,677064,678926,680750,682576,684412,686250,
85360,0,0,0,2,34,131,448,1159,2443,4427,7331,11215,15932,21556,28052,35280,43223,51772,60730,69926,79667,89628,99652,110079,120398,130992,141530,151783,162028,172192,182000,191956,201879,211419,220752,229877,238966,247932,256789,265321,273841,282141,290195,297998,305877,313428,320851,327933,334897,341730,348481,355184,361791,368082,374394,380423,386391,392231,397725,403269,408660,413965,418978,424079,429009,433730,438446,443114,447662,452222,456575,460809,464905,468933,472991,476848,480673,484517,488159,491755,495260,498673,502179,505499,508762,511850,514957,518007,520958,523879,526729,529574,532398,535117,537748,540381,542891,545385,547920,550332,552703,555043,557319,559556,561794,563965,566052,568224,570266,572263,574254,576187,578154,580108,581893,583672,585453,587273,589004,
85370,0,0,0,0,6,28,111,359,871,1717,3025,4935,7441,10581,14384,18872,23910,29355,35322,41656,48399,55477,62944,70474,78024,85790,93728,101660,109567,117628,125553,133499,141407,149264,157312,165064,172615,180086,187535,194750,201965,209045,215935,222773,229519,236088,242544,248804,255018,261220,267179,273179,279104,284666,290213,295533,300938,306242,311310,316297,321236,325961,330663,335340,339783,344321,348703,352919,357088,361240,365267,369230,373136,376952,380628,384192,387729,391198,394683,398001,401381,404625,407725,410812,413890,416889,419806,422790,425538,428370,431165,433820,436453,439090,441678,444130,446566,449027,451438,453800,456052,458250,460438,462603,464784,466844,468851,470799,472761,474722,476603,478484,480358,482157,483982,485826,487565,489321,490993,
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85400,0,0,0,0,0,0,7,26,67,169,348,661,1091,1768,2618,3748,5182,6926,8921,11136,13652,16341,19367,22531,25835,29441,33074,36923,40914,45040,49210,53484,57805,62285,66732,71295,75798,80374,84929,89523,94025,98541,102957,107446,111858,116167,120549,124940,129259,133556,137652,141757,145727,149782,153743,157760,161719,165542,169330,173104,176895,180458,184095,187637,191144,194579,197958,201280,204559,207782,211046,214112,217204,220246,223138,226115,228977,231838,234730,237513,240193,242869,245588,248208,250796,253295,255768,258064,260478,262744,265078,267365,269530,271690,273779,275887,277992,279991,281977,283961,285894,287834,289726,291579,293455,295272,297074,298812,300605,302372,304082,305815,307483,309060,310693,312270,313796,315339,316851,
85410,0,0,0,0,0,0,1,7,19,62,123,243,444,747,1200,1810,2639,3576,4665,6090,7554,9221,11150,13343,15618,17912,20467,23081,25919,28967,32013,35007,38236,41550,45001,48278,51643,55233,58776,62337,65991,69465,72999,76711,80408,83952,87473,91043,94503,98023,101484,104850,108254,111644,114995,118319,121590,124946,128170,131327,134449,137462,140579,143663,146669,149587,152511,155321,158209,161056,163909,166604,169301,172100,174692,177312,179879,182504,184954,187340,189731,192103,194385,196727,199045,201281,203493,205728,207915,210084,212183,214252,216305,218311,220341,222253,224148,226092,227867,229716,231575,233355,235145,236925,238597,240282,242011,243655,245225,246808,248275,249836,251386,252906,254408,255846,257300,258731,260144,
85420,0,0,0,0,0,0,0,1,3,13,31,80,160,300,476,736,1080,1520,2109,2797,3609,4576,5633,6814,8143,9549,11129,12867,14692,16692,18679,20774,22926,25213,27543,29969,32345,34847,37404,39997,42606,45249,47908,50548,53234,55924,58707,61450,64140,66839,69632,72312,75070,77759,80462,83206,85766,88429,91090,93686,96281,98769,101360,103844,106403,108875,111298,113772,116233,118540,120845,123234,125515,127818,130027,132254,134382,136600,138725,140848,142952,145077,147101,149143,151132,153069,154980,156835,158758,160636,162539,164349,166118,167801,169543,171287,172988,174647,176290,177916,179523,181175,182721,184239,185750,187239,188721,190167,191641,193053,194426,195891,197268,198583,199924,201253,202522,203867,205118,
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85460,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,6,12,17,22,34,50,78,115,148,192,242,294,379,469,565,676,807,961,1099,1281,1472,1694,1950,2198,2464,2757,3068,3364,3683,4041,4376,4751,5164,5562,5974,6400,6866,7292,7782,8316,8804,9308,9783,10251,10784,11323,11835,12369,12949,13548,14119,14696,15242,15777,16379,16939,17539,18145,18737,19342,19935,20546,21107,21667,22263,22851,23420,23978,24562,25182,25843,26448,27060,27647,28264,28831,29433,29977,30611,31176,31753,32348,32974,33548,34100,34720,35277,35884,36403,36966,37530,38090,38667,39225,39839,40369,40889,41439,41996,42532,43050,
85470,173,5789,29328,76612,140708,214167,290920,366922,440826,510197,575005,635014,690849,741926,789706,833445,874046,911770,946372,978258,1008243,1035987,1062149,1086661,1109702,1130972,1150907,1170009,1188047,1204957,1220944,1236137,1250733,1264289,1277344,1289554,1301291,1312529,1323133,1333289,1343062,1352482,1361465,1369961,1378170,1385946,1393412,1400563,1407455,1414091,1420560,1426600,1432459,1438141,1443780,1449080,1454320,1459344,1464061,1468689,1473185,1477605,1481833,1485955,1489904,1493672,1497264,1500896,1504382,1507812,1511128,1514277,1517340,1520271,1523267,1526103,1528912,1531740,1534411,1537020,1539515,1541937,1544351,1546700,1548935,1551170,1553315,1555447,1557557,1559670,1561653,1563590,1565398,1567293,1569139,1570957,1572658,1574383,1576088,1577719,1579292,1580831,1582303,1583789,1585292,1586717,1588128,1589463,1590838,1592123,1593483,1594693,1595976,1597223,1598429,1599571,1600659,1601790,1602849,
85480,6,606,5506,19769,45924,81920,124880,172128,221060,270907,320004,367751,413809,457411,498806,538127,575320,609940,643006,674104,703002,730804,756872,781132,804588,826767,847725,867864,886840,904837,921866,938127,953251,967880,982082,995586,1008397,1020818,1032682,1044030,1054789,1065077,1075173,1084839,1093990,1102907,1111554,1119868,1127731,1135370,1142633,1149794,1156573,1163228,1169495,1175673,1181612,1187354,1192890,1198414,1203640,1208793,1213631,1218463,1223131,1227671,1232073,1236289,1240390,1244242,1248120,1251932,1255621,1259213,1262587,1265968,1269401,1272695,1275779,1278903,1281830,1284699,1287614,1290373,1293146,1295741,1298359,1300942,1303407,1305851,1308177,1310450,1312790,1315068,1317237,1319409,1321441,1323406,1325412,1327321,1329198,1331091,1332869,1334597,1336299,1337969,1339602,1341232,1342770,1344331,1345874,1347410,1348887,1350392,1351802,1353184,1354528,1355865,1357236,
85490,0,119,1744,7986,21030,41661,69179,101557,137585,174974,213369,251852,289717,326754,362513,397032,430169,461763,491774,520424,547918,574083,598978,622455,644960,666297,686748,706132,724824,742652,759512,775590,791059,805959,820247,833878,846804,859463,871375,882969,894099,904680,914884,924784,934204,943396,952070,960469,968746,976626,984326,991776,998939,1005879,1012634,1018983,1025275,1031420,1037366,1043077,1048519,1053933,1059195,1064292,1069236,1073987,1078603,1083102,1087464,1091748,1096094,1100067,1104018,1107955,1111600,1115169,1118701,1122173,1125555,1128841,1131978,1135110,1138256,1141272,1144229,1147080,1149920,1152716,1155321,1157877,1160430,1162939,1165269,1167728,1170114,1172423,1174656,1176861,1178981,1181060,1183094,1185097,1187059,1188997,1190992,1192844,1194595,1196359,1198133,1199718,1201395,1203042,1204721,1206310,1207865,1209386,1210821,1212210,1213669,
85500,0,23,388,2350,7617,17438,32104,51215,73459,99008,126226,154413,183099,211870,240497,268745,296270,322879,348864,373687,397950,421286,443822,465340,486098,505998,525053,543409,561001,578146,594133,609499,624413,638888,652943,666046,678913,691240,703059,714439,725459,735849,746042,756048,765645,775035,783962,792490,800833,808838,816627,824301,831736,838962,845881,852502,859054,865342,871412,877294,883064,888582,893984,899136,904227,909112,914059,918721,923344,927846,932198,936474,940543,944627,948630,952469,956269,959983,963552,967034,970357,973719,976914,980053,983054,986092,989023,991888,994679,997452,1000156,1002750,1005328,1007819,1010328,1012771,1015149,1017463,1019791,1022021,1024165,1026263,1028328,1030348,1032370,1034371,1036282,1038230,1040085,1041849,1043605,1045356,1047069,1048759,1050435,1052075,1053670,1055183,1056738,
85510,0,1,52,479,1975,5575,11804,20764,32596,47099,63484,81436,100239,120187,140663,161283,182209,202678,223173,243116,262843,282404,301302,319644,337270,354459,371094,387325,402775,417705,432357,446372,460376,473604,486334,498656,510633,522113,533276,544027,554540,564766,574365,584047,593235,602346,610991,619424,627478,635306,642930,650287,657551,664635,671463,678122,684532,690746,696821,702795,708447,713975,719413,724705,729832,734947,739823,744572,749323,753815,758228,762602,766750,770835,774850,778729,782559,786241,789971,793646,797010,800439,803717,806930,810161,813388,816467,819443,822229,825040,827861,830661,833316,835924,838549,841120,843594,845984,848376,850696,853009,855235,857490,859669,861735,863752,865700,867707,869653,871590,873418,875196,877011,878782,880546,882261,883959,885567,887185,
85520,0,0,18,153,855,2634,6163,11737,19350,29169,40981,54278,68847,84133,100456,117097,134117,151115,168403,185516,202310,219211,235891,251823,267755,283123,298086,312737,326696,340550,354027,367253,379979,392388,404200,415686,427107,438037,448914,459289,469174,478889,488300,497343,505964,514531,522705,530774,538582,546317,553894,561134,568232,575109,581698,588261,594588,600765,606702,612440,618078,623588,629023,634375,639429,644464,649276,654169,658828,663315,667674,671987,676195,680360,684389,688362,692123,695892,699601,703277,706749,710045,713439,716764,719983,722955,725961,728981,731826,734715,737594,740309,742920,745544,748176,750709,753204,755657,758039,760436,762752,765055,767212,769400,771575,773658,775674,777729,779703,781719,783647,785529,787377,789140,790881,792618,794336,796021,797642,
85530,0,0,4,58,318,1132,2868,5894,10567,16676,24352,33426,43589,54924,67002,79644,93013,106814,120889,134823,148850,162780,176713,190505,204247,217795,230921,243902,256536,268815,280797,292740,304101,315277,326213,336740,347015,357116,366914,376285,385517,394421,403174,411620,420196,428345,436175,443746,451064,458290,465585,472449,479109,485881,492300,498508,504540,510587,516483,522022,527541,532806,538057,543141,548084,553095,557794,562514,566987,571452,575803,580017,584163,588226,592177,596028,599808,603502,607126,610789,614364,617714,620978,624175,627354,630466,633528,636517,639403,642329,645122,647923,650615,653279,655897,658436,660906,663261,665504,667875,670206,672419,674563,676767,678916,681046,683130,685002,686911,688846,690765,692608,694337,696145,697882,699643,701314,702911,704627,
85540,0,0,0,13,102,410,1211,2630,5029,8555,13114,18679,25186,32786,41157,50141,59663,69967,80337,90982,102027,113261,124379,135547,146563,157674,168557,179536,190182,200781,211257,221542,231526,241467,251161,260418,269547,278396,287133,295659,304148,312291,320269,328294,335974,343436,350678,357863,364799,371596,378140,384591,390889,396997,403005,408974,414720,420342,425861,431301,436483,441601,446625,451494,456309,461024,465518,470038,474320,478519,482708,486851,490871,494873,498671,502329,505963,509546,513022,516539,520087,523451,526590,529730,532849,535918,538924,541812,544654,547551,550227,552976,555626,558161,560709,563174,565586,568050,570417,572701,575061,577279,579501,581658,583664,585733,587796,589788,591763,593777,595679,597538,599412,601227,603000,604765,606493,608176,609881,
85550,0,0,0,4,31,120,358,945,1982,3635,5939,9133,12934,17431,22494,28320,34684,41510,48785,56409,64424,72626,81056,89615,98165,106621,115342,124132,132909,141350,149832,158230,166579,174865,182982,191006,198856,206805,214483,221910,229099,236311,243241,250063,256843,263512,269920,276262,282474,288626,294387,300185,305878,311421,317025,322422,327501,332490,337466,342402,347213,351880,356513,361119,365538,369845,374131,378423,382462,386318,390185,393996,397771,401453,405126,408747,412242,415639,419029,422314,425517,428644,431632,434662,437577,440402,443260,446139,448855,451531,454149,456749,459338,461740,464237,466610,469000,471342,473620,475835,478080,480262,482360,484456,486534,488536,490581,492437,494329,496287,498090,499944,501700,503441,505156,506870,508561,510278,512017,
85560,0,0,0,1,6,37,161,433,990,1928,3336,5412,7890,11023,14648,18850,23499,28715,34322,40256,46602,53201,60080,66864,73849,81099,88350,95671,102822,110183,117553,124778,132037,139049,146100,153237,160174,166981,173749,180406,187016,193674,199888,206071,212168,218340,224124,229894,235536,241158,246796,252093,257330,262606,267744,272807,277655,282371,287063,291594,296119,300487,304777,309092,313313,317431,321374,325187,328991,332774,336368,339915,343461,346997,350492,353820,357112,360379,363506,366739,369760,372778,375792,378757,381649,384489,387272,390012,392636,395149,397733,400238,402718,405201,407546,409893,412221,414502,416703,418884,421025,423101,425231,427227,429214,431192,433144,435060,436965,438841,440677,442467,444217,445950,447635,449294,450940,452507,454072,
85570,0,0,0,0,1,12,51,164,458,943,1662,2755,4255,6277,8646,11492,14795,18478,22490,26777,31454,36421,41652,46930,52455,58155,64076,69940,75855,81821,87786,93903,100016,106086,112190,118226,124128,130157,135942,141781,147549,153204,158715,164208,169543,174850,180058,185434,190538,195557,200494,205314,210101,214856,219388,223964,228502,232811,237112,241383,245522,249528,253510,257407,261383,265086,268814,272473,276031,279598,283111,286487,289754,292976,296259,299401,302572,305682,308714,311625,314541,317395,320119,322831,325487,328149,330706,333293,335840,338293,340713,343067,345411,347711,350012,352267,354445,356557,358646,360700,362809,364791,366821,368809,370767,372638,374484,376268,378040,379846,381554,383321,385018,386775,388402,390014,391518,393092,394640,
85580,0,0,0,0,0,2,14,57,168,420,791,1415,2275,3404,4879,6644,8732,11159,13898,16786,20046,23487,27330,31261,35319,39565,43915,48451,53088,57831,62682,67550,72386,77217,82236,87198,92149,97122,102000,106795,111440,116309,121109,125731,130355,134972,139462,143927,148328,152709,157169,161465,165654,169837,173861,177925,182041,185923,189719,193513,197290,200865,204502,208082,211535,214994,218490,221731,225016,228398,231463,234672,237735,240752,243700,246620,249472,252331,255066,257819,260481,263120,265716,268314,270835,273300,275686,278048,280429,282708,284958,287236,289364,291582,293742,295849,297967,300028,302033,304009,305888,307775,309673,311507,313320,315053,316807,318496,320217,321980,323640,325249,326826,328458,329959,331476,333042,334535,336016,
85590,0,0,0,0,0,1,5,16,52,127,270,544,935,1480,2254,3219,4430,5921,7590,9457,11544,13761,16264,18903,21821,24814,27989,31204,34488,37851,41538,45220,48968,52706,56417,60258,64085,67902,71837,75684,79656,83596,87550,91393,95255,99166,102951,106660,110265,113981,117670,121281,124900,128420,131861,135373,138788,142193,145453,148803,152189,155375,158520,161755,164886,168043,170947,173963,176864,179771,182604,185324,188094,190798,193322,196040,198621,201134,203697,206192,208553,210889,213177,215528,217890,220095,222257,224407,226479,228537,230660,232751,234746,236784,238744,240639,242516,244399,246281,248126,249918,251723,253401,255143,256823,258522,260100,261716,263316,264854,266467,267958,269408,270897,272339,273753,275152,276567,277941,
85600,0,0,0,0,0,0,1,5,13,36,84,179,346,590,926,1372,1931,2656,3522,4625,5777,7113,8561,10191,11997,13918,15907,17970,20265,22513,24963,27546,30092,32710,35422,38240,41071,43872,46716,49595,52551,55586,58558,61589,64546,67579,70533,73429,76302,79247,82150,85003,87849,90816,93628,96430,99175,102043,104854,107617,110267,112952,115614,118279,120886,123418,125970,128379,130893,133275,135645,138051,140370,142686,144955,147214,149349,151522,153716,155910,158035,160091,162179,164221,166259,168213,170274,172151,174016,175894,177748,179654,181483,183251,184961,186693,188435,190132,191797,193406,195039,196637,198139,199614,201145,202627,204130,205607,207081,208545,209991,211357,212754,214079,215396,216747,218086,219357,220652,
85610,0,0,0,0,0,0,0,1,3,12,27,55,110,204,342,535,812,1161,1553,2120,2742,3441,4256,5202,6226,7405,8590,10044,11559,13129,14828,16534,18310,20066,22010,23892,25882,27899,30044,32124,34298,36474,38629,40837,43036,45300,47592,49691,52003,54318,56594,58848,61106,63341,65612,67906,70095,72336,74618,76801,78903,81162,83295,85412,87553,89637,91814,93850,95988,98073,100127,102162,104130,106138,108068,109905,111837,113753,115598,117410,119237,120997,122751,124510,126195,127914,129564,131255,132971,134657,136274,137857,139454,140921,142493,143970,145521,146983,148478,149940,151360,152719,154072,155441,156764,158153,159485,160771,162036,163229,164442,165678,166857,168120,169259,170402,171600,172808,173975,
85620,0,0,0,0,0,0,0,1,1,3,3,11,26,60,99,166,263,387,553,766,1057,1394,1776,2234,2731,3359,3994,4737,5518,6344,7296,8316,9310,10415,11546,12754,13944,15227,16527,17931,19380,20814,22352,23787,25342,26792,28397,30054,31643,33268,34886,36513,38144,39813,41407,43051,44791,46389,48059,49807,51436,53064,54725,56323,57982,59651,61304,62904,64515,66129,67748,69319,70824,72332,73903,75437,76997,78469,79986,81457,82983,84407,85826,87241,88696,90116,91511,92877,94162,95554,96920,98262,99546,100831,102113,103427,104653,105893,107071,108292,109500,110743,111941,113069,114207,115355,116552,117650,118809,119871,120979,122075,123096,124150,125172,126179,127181,128200,129149,
85630,0,0,0,0,0,0,0,0,0,0,0,0,2,7,11,27,44,73,116,170,264,358,495,681,871,1108,1373,1653,2003,2361,2758,3193,3655,4196,4764,5354,6031,6702,7379,8147,8882,9632,10489,11336,12198,13091,13996,14931,15939,16856,17869,18843,19912,20934,21982,22992,24026,25072,26177,27277,28417,29509,30633,31777,32884,33955,35019,36197,37359,38484,39579,40697,41790,42889,44017,45175,46260,47355,48536,49608,50641,51711,52796,53845,54853,55896,56981,58062,59135,60169,61175,62169,63179,64161,65128,66074,67085,68034,69007,69919,70840,71818,72685,73620,74501,75429,76324,77204,78034,78919,79792,80618,81422,82258,83061,83884,84701,85532,86321,
85640,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,10,12,13,18,31,47,65,97,144,196,246,317,406,494,600,735,879,1049,1222,1420,1655,1909,2157,2440,2740,3062,3405,3739,4094,4507,4949,5384,5830,6299,6772,7264,7754,8207,8720,9251,9791,10317,10867,11416,12033,12621,13216,13867,14493,15096,15683,16305,16955,17586,18213,18846,19487,20151,20795,21434,22120,22690,23333,23960,24599,25291,25919,26566,27185,27836,28516,29192,29851,30536,31186,31788,32448,33076,33767,34421,35071,35722,36369,36952,37541,38140,38684,39243,39857,40478,41048,41647,42252,42821,43427,44018,44595,45183,45735,46332,46898,47506,48086,
85650,540,10826,45217,103444,176458,255751,334757,411235,483220,550369,612418,669673,721879,770310,814429,854922,892689,927798,959723,989440,1017244,1043498,1067961,1090720,1112231,1132024,1150599,1168406,1184941,1200760,1215814,1229952,1243398,1256069,1268213,1279864,1290912,1301363,1311437,1320762,1329797,1338516,1346725,1354820,1362364,1369711,1376692,1383464,1390106,1396553,1402587,1408386,1414077,1419403,1424661,1429681,1434565,1439294,1443863,1448243,1452541,1456641,1460659,1464524,1468310,1471962,1475561,1479130,1482488,1485699,1488801,1491955,1494845,1497793,1500562,1503224,1505942,1508602,1511148,1513615,1516016,1518419,1520703,1522941,1525135,1527271,1529322,1531395,1533319,1535247,1537132,1539010,1540834,1542645,1544396,1546151,1547760,1549376,1551040,1552572,1554025,1555478,1556962,1558432,1559795,1561144,1562516,1563879,1565113,1566334,1567520,1568722,1569999,1571149,1572360,1573460,1574616,1575679,1576749,
85660,23,1580,10477,32128,66078,109009,157854,209132,261242,312377,361536,408628,453248,496017,536038,573543,608864,641985,673341,702878,730592,756514,781311,804470,826582,847126,866854,885555,903143,919899,936008,950953,965481,979209,992417,1005015,1016905,1028289,1039332,1049871,1059916,1069598,1078851,1087795,1096387,1104769,1112854,1120539,1127931,1134980,1141903,1148336,1154825,1161116,1167056,1172763,1178337,1183773,1189086,1194214,1199160,1204040,1208743,1213334,1217727,1221981,1226006,1229951,1233963,1237837,1241596,1245213,1248691,1252021,1255232,1258358,1261541,1264628,1267513,1270460,1273307,1276077,1278735,1281395,1283956,1286581,1289008,1291488,1293881,1296201,1298416,1300587,1302763,1304883,1306879,1308876,1310868,1312842,1314732,1316582,1318400,1320117,1321818,1323507,1325143,1326764,1328390,1330015,1331579,1333089,1334562,1336020,1337489,1338857,1340205,1341551,1342829,1344104,1345359,
85670,4,398,3851,14308,33360,60434,93644,130650,170222,210880,251149,290777,329209,366221,401488,435283,467683,498382,527761,555592,581965,606732,630410,652709,674005,694281,713721,731832,749459,766129,781874,797238,811737,825796,839058,851778,864221,876102,887357,898045,908405,918454,927904,937402,946395,954950,963093,971013,978756,986266,993503,1000362,1007144,1013656,1020043,1026027,1032026,1037689,1043271,1048592,1053848,1058936,1063764,1068546,1073107,1077734,1082048,1086495,1090575,1094643,1098518,1102370,1105905,1109615,1113171,1116588,1119955,1123267,1126553,1129686,1132732,1135623,1138496,1141363,1144210,1146975,1149538,1152083,1154601,1157145,1159514,1161821,1164141,1166383,1168607,1170722,1172849,1174943,1176871,1178867,1180843,1182700,1184575,1186386,1188181,1189942,1191677,1193456,1195098,1196705,1198304,1199890,1201478,1202934,1204414,1205854,1207314,1208666,1210031,
85680,0,74,1041,4859,13566,27799,47395,71140,97554,126511,156329,186749,217100,247123,276591,305429,333368,359914,385846,410899,434855,457448,479383,500028,519900,539195,557416,574949,591705,607701,622997,637700,651941,665553,678753,691535,703353,715040,726380,737159,747650,757877,767526,776850,785993,794823,803087,811059,818913,826714,833998,841158,847965,854574,860982,867349,873441,879414,885317,890835,896230,901522,906617,911633,916524,921254,925630,930160,934576,938843,943086,947124,951067,954869,958623,962349,965882,969245,972587,975858,979025,982143,985154,988046,990896,993730,996507,999275,1001980,1004525,1007064,1009580,1011996,1014419,1016591,1018851,1021122,1023297,1025554,1027762,1029797,1031859,1033795,1035796,1037685,1039558,1041383,1043204,1045022,1046764,1048549,1050188,1051843,1053353,1054980,1056540,1057954,1059451,1060993,
85690,0,9,174,1216,4213,10070,19348,31680,46940,64616,83656,103949,125406,147266,169373,191508,213270,234974,255836,276470,296579,316024,334847,353083,370450,387256,403583,419297,434657,449298,463644,477324,490620,503524,515925,527661,538995,549960,560711,571052,581029,590836,600244,609482,618359,626777,634895,643042,650862,658461,665775,672822,679586,686197,692685,699042,705212,711094,716916,722515,728078,733372,738484,743530,748538,753302,757825,762448,766764,771115,775422,779575,783594,787470,791231,795058,798731,802311,805781,809110,812408,815560,818730,821775,824778,827739,830641,833481,836227,838942,841636,844335,847037,849468,851847,854254,856561,858814,860965,863200,865343,867493,869597,871618,873608,875552,877520,879405,881295,883104,884871,886677,888357,890034,891668,893367,895010,896589,898118,
85700,0,2,63,509,1962,5217,10878,18974,29446,42021,56401,72268,89167,106605,124454,142741,161321,179651,197785,215358,232955,249994,266851,283235,299173,314831,329896,344309,358545,372224,385448,398052,410582,422872,434697,446055,457034,467624,477833,487427,497060,506457,515405,524185,532625,540974,549106,556981,564371,571821,578926,585981,592854,599451,605761,611980,617955,623842,629504,635147,640545,645913,651081,656177,661053,665792,670399,674906,679285,683485,687627,691640,695565,699477,703327,706998,710658,714183,717586,720928,724295,727478,730645,733733,736813,739902,742854,745731,748499,751298,753943,756533,759162,761733,764193,766702,769059,771370,773609,775824,778114,780211,782316,784369,786304,788306,790312,792243,794138,796034,797863,799625,801418,803131,804840,806501,808101,809595,811166,
85710,0,0,22,174,818,2386,5548,10267,16917,25328,35196,46492,58966,72319,86422,100989,115584,130414,145203,160350,175231,190064,204563,218685,232559,246491,259779,272671,285536,297840,309772,321552,333139,344188,354944,365252,375406,385260,395060,404305,413526,422343,430972,439336,447368,455233,462884,470267,477478,484541,491519,498193,504642,511019,517192,523211,529082,534845,540465,545940,551331,556489,561370,566128,570904,575563,580142,584542,588902,593097,597258,601371,605371,609215,613057,616790,620464,623961,627509,630903,634120,637272,640487,643592,646639,649592,652489,655367,658269,660972,663681,666250,668756,671280,673784,676216,678629,680933,683202,685544,687704,689847,691904,693974,696017,698033,700068,701957,703845,705753,707583,709482,711242,712985,714638,716370,718031,719685,721334,
85720,0,0,4,40,244,884,2327,4816,8417,13337,19573,27158,35631,44725,54895,65513,76683,88194,100085,111866,123816,135765,147590,159556,171411,183051,194595,205876,217004,227796,238416,248805,258821,268545,278222,287441,296689,305509,314275,322859,331127,339317,347128,355026,362560,369961,377086,384159,390967,397637,404077,410388,416611,422604,428660,434373,440075,445471,450761,456021,461057,465960,470772,475461,480094,484687,488956,493227,497352,501460,505504,509445,513273,517057,520762,524308,527900,531353,534717,538161,541461,544635,547701,550752,553810,556729,559558,562395,565206,567953,570567,573156,575643,578113,580506,582760,585173,587512,589815,592027,594181,596498,598539,600616,602615,604586,606609,608518,610449,612229,613999,615741,617546,619264,620987,622616,624280,625912,627536,
85730,0,0,0,11,62,259,833,1843,3668,6305,9753,13996,19228,25097,31659,38989,46584,54684,63147,71932,80801,89957,99137,108379,117678,127012,136347,145502,154602,163658,172550,181229,189786,198227,206543,214708,222731,230498,238237,245703,253123,260397,267382,274405,281052,287448,293859,300098,306291,312322,318196,323893,329355,335040,340433,345713,350945,355940,360949,365668,370372,375061,379641,384212,388529,392787,397009,401240,405264,409309,413129,416853,420471,424012,427639,431173,434584,437823,441074,444310,447447,450501,453548,456423,459300,462103,464882,467622,470323,472949,475549,478130,480539,483022,485350,487674,489899,492157,494286,496444,498554,500613,502671,504732,506709,508689,510558,512415,514273,516114,517857,519684,521443,523103,524815,526444,528202,529855,531430,
85740,0,0,0,3,24,129,391,947,2002,3569,5769,8629,12199,16396,21135,26372,32231,38322,44960,51883,59125,66455,74175,81940,89689,97509,105396,113050,121020,128917,136545,144155,151791,159282,166638,173942,181143,188175,195188,201993,208616,215279,221685,227931,234019,240100,246151,251872,257577,263180,268677,274147,279455,284596,289657,294550,299384,304070,308687,313240,317812,322146,326474,330734,334886,338928,342905,346733,350371,354117,357798,361457,364914,368292,371577,374810,378100,381266,384442,387561,390521,393420,396372,399193,402099,404873,407554,410217,412772,415307,417862,420335,422767,425147,427431,429741,431926,434075,436229,438258,440289,442268,444292,446294,448250,450169,451972,453777,455583,457412,459219,460946,462756,464423,466109,467707,469315,470868,472406,
85750,0,0,0,0,5,43,151,389,894,1810,3200,4968,7219,9964,13231,17002,21115,25753,30578,35825,41394,47264,53341,59439,65444,71902,78409,84872,91454,97884,104512,110821,117263,123792,130095,136261,142439,148527,154635,160729,166574,172404,178124,183697,189261,194726,199951,205196,210377,215455,220526,225440,230230,234849,239579,244172,248544,252945,257184,261478,265597,269615,273657,277580,281430,285162,288889,292609,296213,299615,303058,306357,309750,312983,316141,319230,322343,325310,328334,331321,334194,337048,339857,342514,345162,347763,350320,352854,355310,357777,360113,362451,364765,367058,369301,371462,373606,375735,377874,379949,381930,383857,385766,387635,389489,391302,393165,394957,396680,398370,400088,401749,403365,404961,406492,408066,409601,411158,412652,
85760,0,0,0,0,6,19,53,163,416,846,1564,2524,3889,5560,7636,10027,12866,16000,19454,23209,27143,31449,36007,40601,45309,50273,55330,60470,65509,70691,75983,81232,86531,91913,97121,102493,107814,113053,118282,123513,128568,133499,138507,143465,148348,152992,157651,162245,166737,171232,175740,180034,184296,188506,192655,196749,200835,204739,208642,212488,216304,220023,223675,227302,230885,234355,237793,241094,244321,247530,250768,253874,256943,259987,262920,265760,268621,271501,274292,277028,279691,282384,284938,287490,289946,292391,294736,297170,299461,301642,303794,306058,308267,310363,312546,314639,316746,318727,320665,322579,324483,326345,328182,330020,331840,333610,335337,337005,338693,340395,341985,343566,345050,346668,348167,349668,351076,352523,354038,
85770,0,0,0,0,0,4,14,43,145,328,613,1074,1748,2663,3812,5260,6947,8870,11051,13444,16133,18968,21960,25161,28540,32161,35691,39398,43234,47139,51213,55171,59340,63547,67680,71924,76218,80426,84683,88856,93033,97225,101312,105448,109455,113496,117494,121425,125428,129231,132966,136713,140421,144165,147741,151271,154796,158293,161581,164937,168253,171551,174797,177910,181006,184073,187097,190085,192987,195829,198679,201536,204364,207065,209788,212400,214934,217466,219909,222355,224825,227131,229482,231778,234126,236375,238668,240888,243005,245013,247105,249145,251180,253090,255044,256950,258840,260779,262609,264500,266368,268152,269802,271530,273183,274834,276421,278012,279644,281159,282723,284256,285739,287253,288711,290133,291525,292855,294177,
85780,0,0,0,0,0,0,4,16,31,94,205,391,666,1043,1608,2302,3168,4229,5442,6868,8320,10092,11997,14066,16218,18469,20861,23379,26001,28783,31572,34389,37302,40296,43371,46464,49679,52885,56177,59369,62637,65845,69076,72327,75571,78824,81929,85107,88252,91358,94477,97477,100562,103568,106499,109490,112460,115245,118016,120837,123650,126527,129270,131952,134506,137149,139763,142229,144791,147303,149738,152077,154413,156784,159079,161321,163552,165749,167977,170159,172236,174314,176406,178536,180540,182503,184420,186309,188206,190092,192026,193803,195570,197362,199089,200807,202502,204272,205903,207528,209111,210629,212273,213815,215351,216857,218378,219829,221290,222720,224095,225445,226816,228151,229522,230836,232081,233298,234566,
85790,0,0,0,0,0,0,0,1,4,22,60,118,214,374,608,921,1334,1852,2480,3218,4091,5098,6210,7420,8758,10273,11886,13508,15291,17172,19097,21042,23218,25319,27577,29743,32002,34271,36565,38918,41378,43822,46255,48683,51109,53579,55991,58450,60923,63347,65849,68261,70583,73031,75509,77873,80271,82539,84888,87225,89596,91901,94255,96486,98742,100856,103023,105150,107368,109433,111506,113520,115535,117446,119415,121452,123370,125324,127167,129028,130947,132772,134566,136307,138095,139902,141627,143377,145087,146765,148461,150028,151560,153133,154654,156251,157800,159262,160709,162105,163572,165055,166397,167729,169114,170494,171851,173162,174443,175715,177020,178251,179523,180773,182017,183191,184321,185454,186619,
85800,0,0,0,0,0,0,0,0,0,3,12,29,65,122,199,322,458,680,979,1304,1737,2210,2731,3338,4035,4802,5635,6557,7541,8658,9833,11008,12317,13611,15010,16440,17835,19406,20966,22558,24191,25877,27538,29240,30977,32585,34370,36167,37970,39732,41484,43289,45094,46890,48715,50473,52260,53978,55766,57628,59430,61172,62931,64733,66404,68075,69750,71539,73201,74899,76535,78206,79800,81382,82954,84507,86053,87658,89181,90692,92220,93711,95188,96662,98153,99546,101037,102434,103843,105202,106586,108007,109338,110715,112020,113278,114515,115785,117011,118277,119465,120705,121868,123099,124240,125413,126616,127755,128842,129957,131028,132114,133226,134311,135334,136333,137426,138417,139411,
85810,0,0,0,0,0,0,0,1,1,1,3,7,10,16,30,60,99,157,228,318,452,620,844,1095,1381,1682,2056,2474,2904,3383,3904,4452,5117,5784,6485,7233,8053,8951,9778,10640,11612,12470,13443,14481,15541,16583,17600,18758,19831,20964,22150,23292,24420,25522,26679,27827,29055,30264,31422,32671,33828,35009,36167,37428,38631,39776,40971,42195,43464,44697,45850,47080,48243,49396,50582,51739,52926,54088,55241,56370,57537,58676,59804,60947,62111,63233,64287,65322,66418,67460,68526,69477,70514,71554,72532,73549,74532,75575,76519,77487,78514,79477,80456,81417,82359,83297,84219,85078,86002,86866,87699,88577,89441,90273,91127,91974,92814,93599,94409,
85820,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,5,7,17,29,55,74,97,151,201,270,335,441,559,684,827,994,1174,1366,1622,1862,2148,2435,2733,3086,3453,3847,4220,4653,5089,5507,5952,6441,6958,7457,7972,8482,9035,9581,10112,10707,11318,11924,12537,13240,13876,14510,15126,15789,16503,17181,17883,18613,19301,19977,20689,21344,22088,22820,23487,24201,24900,25584,26321,27011,27701,28401,29147,29833,30544,31291,31972,32673,33349,34024,34745,35398,36074,36765,37468,38147,38796,39484,40167,40805,41442,42113,42772,43392,44005,44608,45222,45825,46462,47071,47696,48316,48938,49544,50159,50733,51335,51881,52455,53035,
85831,1270,17881,63255,131545,211045,293614,374129,449563,519637,584400,643851,698060,747581,793002,834914,872912,908547,941453,971792,999783,1025722,1050291,1072991,1094232,1114426,1133262,1150771,1167207,1182850,1197626,1211496,1224801,1237648,1249459,1260831,1271758,1282059,1291850,1301126,1310124,1318708,1327028,1334973,1342627,1349887,1356880,1363450,1369864,1376100,1382049,1387886,1393295,1398584,1403860,1408829,1413534,1418255,1422749,1427072,1431274,1435415,1439372,1443198,1446899,1450408,1453880,1457318,1460635,1463893,1466978,1470071,1472947,1475782,1478582,1481212,1483833,1486407,1488960,1491440,1493869,1496273,1498481,1500649,1502723,1504764,1506868,1508887,1510789,1512817,1514694,1516596,1518416,1520092,1521716,1523379,1525049,1526680,1528218,1529777,1531245,1532682,1534123,1535503,1536850,1538223,1539528,1540790,1542039,1543316,1544577,1545751,1546987,1548164,1549284,1550399,1551507,1552559,1553596,1554654,
85840,90,3097,16948,45517,86764,135479,188584,242944,296374,347880,397268,444100,488108,529403,567947,603988,638107,669893,699660,727657,754024,778266,801328,823359,844155,863786,882350,899902,916698,932652,947530,961881,975727,988680,1001279,1013090,1024365,1035083,1045331,1055394,1065030,1074013,1082780,1091315,1099274,1107165,1114547,1121881,1128840,1135604,1142231,1148550,1154526,1160390,1166010,1171524,1176958,1182067,1187030,1191959,1196672,1201267,1205682,1210053,1214190,1218219,1222123,1226008,1229720,1233282,1236801,1240137,1243474,1246792,1249969,1252927,1255942,1258857,1261637,1264515,1267295,1269946,1272485,1275048,1277510,1279876,1282234,1284494,1286766,1289008,1291233,1293244,1295195,1297228,1299203,1301133,1303058,1304818,1306592,1308360,1310184,1311893,1313529,1315205,1316767,1318326,1319836,1321373,1322842,1324285,1325673,1327085,1328413,1329786,1331138,1332431,1333646,1334926,1336148,
85850,15,985,6919,21694,46541,79235,117165,157899,200308,242631,283950,324113,362567,399356,434339,467588,499041,528717,557078,583434,608449,632527,655210,676762,696985,716283,734774,752205,768902,784632,799798,814138,827861,841021,853649,865857,877379,888521,899171,909370,919243,928645,937868,946624,955262,963309,971038,978653,985875,992891,999702,1006413,1012844,1018846,1024907,1030727,1036298,1041753,1047077,1052214,1057223,1061947,1066662,1071142,1075586,1079733,1083900,1088070,1091918,1095738,1099549,1103205,1106785,1110209,1113637,1116947,1120245,1123393,1126466,1129423,1132296,1135156,1137960,1140620,1143209,1145861,1148392,1150912,1153365,1155709,1157971,1160158,1162443,1164602,1166791,1168924,1170913,1172810,1174728,1176649,1178489,1180270,1182039,1183842,1185536,1187215,1188867,1190493,1192044,1193604,1195072,1196643,1198094,1199526,1201020,1202452,1203849,1205172,1206517,
85860,0,207,2059,8379,20773,39438,63320,90831,120754,152244,184408,216148,247802,278384,308186,337214,364922,391575,416827,441580,464781,487216,508208,528351,547662,566083,583381,600336,616518,631985,646939,660946,674686,687749,700131,712235,723754,734869,745498,755865,765808,775294,784651,793683,802173,810460,818468,826252,833746,840968,847872,854694,861208,867657,873797,879697,885567,891238,896727,901981,907124,912132,916997,921683,926312,930872,935124,939338,943488,947426,951369,955158,958891,962546,966029,969397,972860,976137,979312,982454,985389,988346,991348,994171,996990,999787,1002495,1004996,1007507,1010075,1012526,1014826,1017241,1019498,1021728,1023951,1026146,1028338,1030461,1032547,1034537,1036395,1038308,1040140,1041920,1043737,1045523,1047239,1049034,1050744,1052371,1053903,1055349,1056842,1058372,1059796,1061165,1062578,1064034,
85870,0,27,424,2275,7153,15668,27908,43694,62127,82456,104343,126809,149868,173201,196248,218904,241473,263339,284720,305343,325381,344734,363451,381659,399003,415719,431806,447334,462046,476264,490061,503326,516255,528766,540663,552077,563138,573930,584345,594486,604148,613497,622556,631258,639710,647934,655869,663532,670938,678048,685053,691864,698494,704840,711108,717192,723090,728887,734449,739795,745077,750279,755153,760019,764669,769254,773769,778044,782194,786399,790402,794376,798260,802031,805640,809203,812696,816138,819485,822787,825857,829058,832043,835029,837992,840847,843606,846242,848744,851291,853882,856563,858986,861308,863667,865908,868107,870259,872363,874451,876518,878516,880545,882556,884380,886289,888087,889848,891582,893300,894968,896638,898299,899893,901440,903070,904627,906150,907607,
85880,0,3,162,994,3559,8362,16336,27188,40319,55607,72339,90191,108935,127945,147276,166752,186179,205138,223651,241863,259836,277086,293922,310401,326261,341777,356676,370964,384840,398388,411349,424069,436302,448242,459516,470556,481321,491697,501623,511362,520660,529806,538478,546846,555227,563192,570910,578573,585860,592867,599820,606586,613000,619363,625611,631492,637286,642927,648341,653560,658885,663894,668840,673718,678243,682832,687220,691593,695846,700040,704144,708102,712010,715814,719527,723155,726629,730021,733326,736588,739771,742908,745982,748891,751849,754668,757503,760306,763023,765646,768174,770699,773163,775550,777973,780262,782570,784800,787091,789235,791376,793445,795457,797384,799312,801247,803045,804954,806790,808636,810305,811988,813746,815405,817041,818599,820222,821776,823334,
85890,0,1,40,398,1583,4237,8869,15619,24323,35084,47187,60455,74669,89411,104648,120487,136329,151978,167749,183389,198899,214131,228987,243505,257764,271527,285029,298275,311117,323540,335399,347149,358375,369304,379952,390277,400130,409772,419188,428455,437480,446157,454490,462672,470542,478272,485820,493085,500088,506920,513546,520023,526469,532529,538374,544220,549847,555362,560722,566003,571110,576046,580896,585570,590155,594760,599191,603420,607557,611653,615583,619468,623373,627210,630853,634432,637901,641212,644550,647787,650916,654124,657116,660096,662980,665934,668706,671440,674098,676786,679404,681997,684422,686863,689296,691644,693947,696145,698392,700560,702645,704767,706843,708855,710863,712791,714689,716537,718333,720163,721914,723638,725377,727046,728686,730395,731976,733568,735109,
85900,0,0,13,115,580,1758,4068,7744,13038,19561,27668,36689,46745,57687,69051,81001,93263,105742,118578,131344,143965,156783,169312,181708,193881,205917,217676,229171,240430,251358,262203,272769,283003,292880,302620,311844,320961,329806,338386,346823,355218,363365,371152,378946,386222,393369,400359,407201,413999,420493,426759,432867,438866,444720,450311,455926,461373,466648,471688,476815,481738,486558,491276,495764,500228,504568,508787,512963,517109,521226,525156,528958,532728,536527,540140,543624,547121,550520,553809,556986,560062,563126,566195,569203,571982,574736,577507,580241,582953,585509,588059,590531,592986,595460,597847,600136,602449,604772,606941,609137,611203,613274,615297,617334,619250,621111,623084,624946,626759,628501,630252,631912,633564,635124,636676,638300,639916,641504,643073,
85910,0,0,2,27,145,577,1573,3320,6058,9631,14368,19986,26496,33655,41553,49858,58492,67737,77211,86952,96811,106883,116877,126921,136883,146672,156415,166087,175597,184879,194036,202978,211846,220306,228624,236859,244963,252761,260457,268156,275548,282748,289790,296551,303211,309694,316088,322349,328480,334507,340493,346260,351897,357303,362518,367757,372867,377849,382694,387415,392045,396594,400927,405283,409461,413671,417738,421676,425622,429468,433349,436998,440633,444247,447709,451097,454415,457736,460865,463911,466932,469967,472795,475612,478445,481209,483918,486574,489206,491771,494212,496621,499028,501426,503702,506015,508278,510541,512702,514842,516897,518908,520923,522897,524842,526730,528597,530417,532150,533872,535637,537324,538904,540527,542106,543694,545218,546764,548232,
85920,0,0,1,9,78,291,799,1764,3352,5706,8793,12653,17202,22469,28319,34624,41633,48777,56475,64332,72416,80513,88749,97020,105518,113854,122060,130343,138666,146994,155167,163031,170834,178456,186014,193470,200780,207935,214986,221906,228782,235438,241985,248366,254626,260693,266546,272372,278052,283675,289138,294610,299770,304918,309993,315029,319812,324495,329166,333636,338038,342422,346647,350701,354728,358760,362578,366452,370154,373832,377440,380971,384468,387731,391038,394323,397485,400667,403666,406731,409667,412633,415469,418336,421008,423698,426328,428887,431400,433920,436448,438913,441227,443489,445754,447937,449956,452085,454119,456141,458137,460113,462015,463902,465848,467801,469662,471431,473184,474856,476581,478343,480021,481657,483267,484766,486365,487828,489394,
85930,0,0,0,2,19,83,284,743,1662,3010,4946,7415,10478,13999,18122,22869,27901,33310,38985,45269,51479,58154,64814,71731,78637,85543,92574,99630,106659,113695,120535,127447,134271,141091,147682,154124,160714,166960,173178,179356,185372,191386,197248,202963,208686,214247,219671,224922,230137,235286,240280,245220,250148,254900,259546,264002,268552,272987,277387,281749,285840,289861,293735,297610,301428,305211,308995,312559,316069,319495,322821,326167,329583,332762,335870,338869,341946,344951,347830,350616,353492,356208,358852,361503,364085,366601,369139,371607,374086,376430,378790,381054,383302,385548,387687,389865,392020,394052,396064,398036,399981,401909,403862,405714,407549,409319,411028,412755,414447,416127,417769,419417,420984,422590,424173,425655,427233,428680,430205,
85940,0,0,0,1,5,31,114,331,763,1410,2468,3887,5760,7997,10669,13722,17185,21016,25225,29629,34312,39211,44318,49548,54795,60317,65810,71427,76975,82707,88530,94238,99946,105485,111086,116626,122167,127601,132941,138141,143421,148653,153738,158919,163885,168733,173611,178307,182966,187463,191969,196378,200647,205012,209312,213350,217489,221557,225446,229283,232999,236622,240223,243886,247441,250885,254262,257659,260892,264113,267354,270488,273491,276434,279415,282374,285194,288050,290796,293493,296117,298732,301291,303810,306268,308717,311114,313398,315666,317949,320210,322380,324542,326561,328615,330623,332557,334518,336506,338399,340287,342151,343994,345731,347486,349264,350925,352576,354214,355841,357483,359024,360605,362194,363692,365103,366587,368059,369487,
85950,0,0,0,0,3,9,37,108,270,560,1055,1767,2804,4079,5609,7456,9644,12070,14771,17801,20960,24421,28012,31861,35764,39789,43936,48246,52574,56971,61317,65573,70077,74590,79106,83646,88218,92730,97113,101542,106049,110384,114777,118924,123027,127162,131427,135627,139581,143626,147606,151420,155191,158960,162645,166211,169703,173260,176714,180214,183554,186859,190233,193475,196704,199848,202917,205935,208832,211767,214655,217476,220216,222905,225590,228248,230862,233438,235930,238397,240836,243259,245547,247864,250165,252454,254642,256739,258894,260950,262983,264930,266871,268783,270734,272688,274560,276362,278228,280032,281803,283537,285247,286867,288570,290097,291772,293325,294871,296403,297961,299442,300935,302382,303825,305196,306548,307940,309328,
85960,0,0,0,0,0,2,8,23,47,156,341,639,1090,1693,2538,3565,4798,6180,7746,9462,11457,13587,15868,18305,20853,23630,26487,29359,32361,35452,38622,41867,45170,48540,51851,55219,58623,62032,65486,68988,72466,75779,79172,82600,86032,89322,92690,95966,99284,102561,105777,108961,112158,115236,118239,121272,124296,127245,130099,132966,135792,138624,141352,144114,146819,149521,152174,154760,157247,159771,162307,164759,167191,169604,171994,174297,176560,178755,180952,183211,185372,187519,189607,191653,193679,195660,197615,199502,201453,203354,205214,207048,208868,210604,212377,214197,215901,217604,219253,220866,222410,224024,225593,227128,228563,230047,231542,232942,234377,235738,237163,238547,239900,241229,242544,243904,245253,246581,247829,
85970,0,0,0,0,0,0,0,7,16,47,118,232,423,681,1033,1517,2101,2821,3723,4735,5925,7147,8546,10083,11735,13431,15271,17236,19417,21600,23739,25995,28373,30763,33196,35649,38137,40725,43272,45901,48601,51222,53837,56383,59014,61714,64316,66898,69500,72062,74691,77222,79909,82471,85026,87619,90085,92556,94957,97243,99648,101993,104433,106776,109042,111259,113537,115741,118066,120223,122332,124403,126440,128549,130586,132615,134575,136480,138416,140282,142194,144022,145871,147623,149380,151235,152975,154629,156331,158017,159688,161301,162959,164558,166113,167695,169198,170629,172132,173567,174978,176363,177720,179076,180519,181896,183219,184533,185729,186968,188262,189500,190745,191907,193197,194391,195561,196734,197908,
85980,0,0,0,0,0,0,0,1,5,11,26,58,109,214,330,510,756,1068,1447,1924,2498,3127,3823,4563,5469,6465,7523,8657,9856,11241,12671,14215,15700,17248,18813,20488,22186,23859,25648,27425,29133,30969,32879,34751,36723,38543,40419,42331,44354,46262,48192,50122,52023,53881,55746,57686,59626,61552,63508,65385,67283,69079,70960,72816,74626,76463,78289,80039,81837,83546,85280,86971,88698,90403,92068,93684,95204,96799,98417,99943,101577,103109,104604,106092,107543,109037,110513,111970,113445,114905,116363,117800,119203,120495,121778,123106,124393,125647,126944,128184,129433,130661,131866,133050,134259,135424,136551,137696,138880,140041,141116,142189,143294,144356,145417,146428,147463,148437,149422,
85990,0,0,0,0,0,0,0,0,0,1,2,9,12,26,64,106,182,279,389,569,780,1000,1267,1596,1970,2403,2830,3357,3937,4578,5226,5953,6733,7526,8355,9260,10168,11117,12145,13176,14187,15211,16313,17464,18599,19849,21089,22254,23468,24726,25962,27227,28454,29728,31005,32285,33623,34926,36200,37453,38793,40074,41401,42674,43949,45238,46500,47786,49070,50383,51686,52973,54183,55336,56536,57744,58967,60185,61457,62695,63875,65047,66221,67333,68456,69666,70776,71848,72993,74125,75248,76314,77386,78427,79426,80482,81524,82595,83619,84561,85574,86583,87550,88530,89443,90429,91377,92281,93221,94147,94956,95838,96725,97558,98400,99292,100149,100986,101772,
86000,0,0,0,0,0,0,0,0,0,0,0,1,2,4,4,10,14,35,50,72,107,148,214,288,366,481,614,758,903,1081,1273,1524,1766,2052,2381,2733,3060,3431,3833,4293,4758,5213,5691,6170,6704,7251,7813,8365,9003,9621,10207,10848,11497,12126,12764,13433,14114,14841,15568,16290,16957,17712,18451,19194,19938,20661,21424,22195,22933,23694,24453,25195,25960,26700,27451,28254,29027,29797,30524,31288,32048,32801,33546,34299,35061,35839,36635,37312,38091,38824,39502,40214,40901,41666,42400,43095,43761,44441,45121,45801,46490,47134,47801,48475,49140,49824,50494,51167,51821,52429,53057,53699,54347,54938,55592,56208,56849,57454,58056,
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86020,0,0,8,183,1449,5566,14570,30115,51824,79940,113179,149285,187777,227754,268048,308172,347705,386052,423164,458882,492896,525437,556329,585615,613549,639527,664108,687761,710110,731417,751788,770754,788832,806120,822462,837958,852814,866852,880477,893490,905584,917101,928303,939035,949119,959046,968430,977369,985921,994160,1002028,1009599,1016829,1023828,1030723,1037306,1043554,1049588,1055476,1060990,1066344,1071594,1076689,1081493,1086210,1090735,1095139,1099327,1103439,1107322,1111198,1114949,1118552,1121997,1125406,1128701,1131808,1134858,1137932,1140813,1143560,1146319,1149044,1151554,1154075,1156542,1158912,1161278,1163553,1165668,1167776,1169879,1171914,1173914,1175741,1177622,1179381,1181133,1182834,1184515,1186166,1187685,1189218,1190763,1192331,1193765,1195236,1196568,1197972,1199308,1200554,1201841,1203042,1204246,1205456,1206613,1207768,1208873,1210000,
86030,0,0,1,39,345,1711,5455,12518,23832,39803,59681,82978,109110,136999,166399,196900,227551,258111,287903,317366,345850,373297,400071,425639,450184,473634,496236,517784,538466,558068,577105,595194,612484,629045,644994,660106,674561,688266,701273,713733,725780,737400,748456,758983,769059,778872,788356,797429,806039,814413,822321,830071,837706,844766,851780,858303,864759,870962,876981,882654,888234,893591,898685,903708,908453,913163,917919,922300,926655,930815,934822,938772,942544,946229,949842,953254,956513,959756,962894,965911,968862,971786,974629,977305,979923,982566,985151,987636,989990,992328,994626,996747,998857,1000935,1003020,1005105,1007091,1009004,1010899,1012704,1014363,1016070,1017771,1019364,1020962,1022488,1023975,1025450,1026961,1028380,1029722,1031131,1032443,1033833,1035143,1036309,1037527,1038722,1039899,
86040,0,0,0,12,83,425,1638,4388,9397,16889,27332,40423,55875,73466,92823,113541,135089,157209,179450,201881,224014,245931,267333,288507,309186,328993,348021,366483,384267,401683,418362,434271,449808,464605,478902,492608,505937,518576,530842,542679,554075,565011,575633,585650,595355,604684,613839,622577,630849,638884,646758,654324,661811,668965,675751,682372,688738,694718,700715,706443,712013,717292,722470,727416,732257,737114,741794,746261,750591,754837,758979,762881,766898,770518,774000,777505,780950,784309,787574,790729,793754,796748,799752,802559,805268,807909,810505,813144,815596,818041,820396,822666,825016,827228,829344,831415,833420,835384,837286,839219,841029,842833,844498,846201,847930,849565,851115,852689,854262,855790,857243,858612,860084,861442,862801,864047,865246,866514,867693,
86050,0,0,0,2,8,73,404,1242,2964,5948,10437,16583,24274,33899,45112,57366,70580,84595,99399,114847,130399,146223,162143,177923,193737,209184,224295,239109,253530,267635,281209,294659,307629,320155,332290,344172,355567,366826,377535,387918,398009,407737,417116,426194,435185,443811,452108,460147,467962,475505,482602,489450,496279,502818,509252,515482,521470,527313,533052,538486,543890,549003,553957,558872,563541,568021,572471,576727,581010,585078,589154,593085,596859,600644,604159,607627,611034,614274,617455,620676,623766,626677,629600,632315,635163,637684,640301,642781,645292,647726,650048,652371,654613,656715,658819,660853,662928,664981,666950,668891,670776,672645,674391,676154,677812,679458,681092,682630,684144,685657,687115,688533,690010,691414,692774,694098,695410,696683,697900,
86060,0,0,0,1,11,38,158,584,1476,3150,5796,9721,14789,21253,28957,37801,47578,58263,69577,81464,94082,106812,119780,132816,145759,158835,171595,184369,196930,209206,221461,233397,244999,256302,267338,278081,288442,298460,308336,317653,326867,335883,344556,352999,361295,369277,376963,384408,391494,398532,405200,411628,418134,424366,430430,436334,442053,447582,452986,458284,463314,468313,473074,477680,482210,486663,491043,495176,499269,503219,507206,510879,514431,518003,521527,524876,528165,531396,534516,537622,540646,543547,546402,549084,551726,554343,556862,559382,561822,564138,566484,568774,570965,573154,575251,577210,579241,581210,583053,584898,586731,588511,590263,591977,593636,595326,596921,598473,600034,601498,602995,604445,605932,607276,608648,609964,611269,612571,613799,
86070,0,0,0,0,0,7,57,231,636,1503,3010,5334,8464,12623,17703,23571,30434,37979,46229,55134,64638,74588,84766,95070,105493,116027,126522,136913,147338,157836,168155,178100,188074,197770,207096,216492,225623,234526,243354,251684,259946,268077,275950,283641,291241,298441,305568,312632,319271,325685,332135,338308,344371,350124,355747,361327,366701,371934,376996,381876,386780,391424,396013,400324,404678,408949,413054,417070,421014,424770,428571,432134,435640,439053,442345,445559,448783,451979,455046,457988,460877,463708,466555,469177,471786,474260,476715,479118,481554,483883,486122,488324,490434,492539,494613,496663,498609,500466,502417,504269,506054,507799,509475,511145,512822,514410,515963,517524,518979,520398,521835,523158,524541,525860,527261,528591,529881,531098,532338,
86080,0,0,0,0,0,2,14,69,261,659,1380,2570,4315,6779,9881,13680,18128,23256,29031,35432,42231,49360,56762,64597,72570,80545,88809,97295,105615,113850,122267,130558,138664,146815,154764,162710,170597,178350,185769,193264,200650,207928,214852,221712,228164,234588,240908,247048,253034,259012,264629,270178,275548,280717,285911,291082,295991,300917,305568,310027,314465,318770,322981,327229,331262,335114,338950,342652,346242,349736,353298,356654,359934,363104,366236,369288,372170,375117,377903,380714,383414,386066,388712,391358,393848,396218,398669,401042,403375,405664,407807,409884,411901,413846,415787,417713,419648,421469,423204,424969,426659,428333,429991,431591,433133,434692,436205,437637,439124,440505,441911,443297,444648,445928,447293,448614,449850,450997,452157,
86090,0,0,0,0,0,1,6,19,76,226,530,1059,1880,3156,4829,6947,9627,12677,16324,20270,24802,29801,34988,40487,46207,52124,58156,64319,70589,77084,83399,89796,96312,102857,109177,115589,121969,128304,134583,140689,146840,152828,158743,164446,170064,175643,181160,186609,191894,196965,201916,206821,211631,216231,220869,225217,229654,233883,238080,242066,245961,249839,253612,257367,261008,264510,267987,271460,274754,278029,281239,284276,287299,290229,293086,295968,298822,301543,304272,306937,309471,311902,314333,316671,319020,321290,323513,325656,327751,329841,331857,333904,335843,337717,339636,341535,343315,345017,346726,348365,350024,351626,353202,354744,356176,357653,359085,360481,361826,363167,364524,365800,367021,368298,369575,370782,372011,373178,374267,
86100,0,0,0,0,0,0,2,9,30,107,254,543,1050,1899,2960,4433,6308,8548,11158,14085,17454,21165,25184,29570,34082,38837,43722,48777,53847,59037,64364,69941,75480,80959,86524,92024,97543,103009,108392,113716,118927,124096,129313,134387,139428,144458,149241,153925,158648,163312,167852,172247,176493,180739,184891,189071,193075,196978,200730,204440,208174,211808,215251,218614,222065,225345,228571,231679,234767,237837,240757,243617,246489,249223,251879,254552,257152,259728,262132,264528,266934,269256,271542,273692,275884,278032,280139,282259,284299,286218,288187,290035,291937,293695,295451,297147,298860,300519,302188,303814,305344,306829,308329,309775,311265,312689,314093,315458,316845,318141,319467,320694,321930,323180,324395,325520,326661,327764,328907,
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86160,0,0,0,0,0,0,0,0,0,0,0,1,1,7,13,28,55,99,157,241,370,531,727,980,1268,1634,1998,2462,2977,3592,4266,4952,5709,6489,7344,8198,9123,10088,11135,12173,13246,14344,15450,16645,17821,19067,20329,21576,22893,24146,25437,26709,27996,29266,30534,31900,33230,34498,35805,37124,38475,39781,41128,42375,43591,44895,46154,47420,48618,49878,51080,52307,53454,54619,55770,56927,58070,59181,60294,61402,62486,63602,64700,65724,66767,67810,68818,69801,70785,71725,72729,73704,74661,75588,76478,77375,78275,79147,80038,80849,81641,82444,83258,84072,84922,85709,86448,87178,87949,88672,89386,90143,90814,91527,92185,92824,93482,94151,94788,
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86380,0,197,2599,11383,29585,57544,93303,134389,178155,223075,268437,312081,354530,395482,434627,471492,506460,539304,570178,599140,626409,652181,676337,699110,720455,740946,759968,777897,794900,811113,826389,841245,855221,868181,881030,892902,904378,915296,925659,935562,945118,954173,962864,971237,979082,986683,994035,1000959,1007667,1014236,1020431,1026594,1032349,1037802,1043164,1048419,1053395,1058120,1062804,1067271,1071598,1075863,1079889,1083793,1087494,1091212,1094733,1098091,1101433,1104723,1107826,1110833,1113733,1116556,1119340,1122084,1124783,1127294,1129693,1132062,1134397,1136624,1138860,1140985,1143093,1145167,1147078,1149091,1151028,1152882,1154685,1156450,1158126,1159781,1161428,1163031,1164535,1166019,1167494,1168819,1170203,1171550,1172876,1174187,1175471,1176642,1177826,1179006,1180156,1181259,1182366,1183458,1184513,1185546,1186580,1187545,1188503,1189421,1190327,
86390,0,38,788,4412,13500,29221,51043,78143,109170,142375,176953,211506,246073,279968,312578,344314,374761,403826,431587,457810,482649,506753,529222,550709,571005,590341,608531,626172,642681,658734,673894,688419,701931,714753,727173,739104,750591,761523,771775,781825,791379,800429,809171,817594,825688,833444,840964,847981,854917,861559,868094,874293,880111,885834,891353,896642,901888,906728,911552,916309,920751,925016,929188,933308,937326,941152,944811,948407,951937,955260,958625,961735,964770,967678,970614,973473,976184,978865,981419,984031,986513,988867,991242,993427,995626,997832,999931,1002003,1004045,1005953,1007839,1009699,1011469,1013129,1014804,1016394,1018033,1019534,1021068,1022596,1024118,1025566,1026934,1028291,1029712,1031023,1032285,1033529,1034772,1035960,1037140,1038347,1039449,1040552,1041628,1042680,1043768,1044789,1045737,
86400,0,3,166,1277,4931,12103,23944,39834,59158,81534,105617,130967,156839,182944,208708,234347,259465,283810,307342,330057,352000,373049,393261,412716,431156,448900,465787,482016,497515,512537,526608,540362,553210,565649,577637,589145,600040,610593,620535,630191,639352,648217,656855,665136,673135,680707,688174,695189,702020,708593,715025,721309,727326,733109,738752,744018,749044,754024,758976,763602,768260,772675,776916,780996,785015,788880,792632,796405,799950,803374,806743,810114,813271,816403,819342,822124,824964,827751,830464,833071,835570,838045,840395,842728,844961,847110,849346,851440,853595,855574,857520,859395,861169,862945,864739,866463,868199,869896,871472,873028,874557,876120,877582,879008,880412,881837,883203,884446,885717,886983,888203,889427,890585,891811,892934,894054,895151,896161,897205,
86410,0,0,37,281,1391,4155,9187,16733,26949,39258,53795,70047,87426,105180,123804,142629,161465,180185,198578,216598,234238,251585,268373,284699,300492,315580,330229,344322,358197,371174,383994,396321,408148,419628,430269,440789,450862,460631,470029,479152,487904,496249,504411,512230,519679,526855,533879,540654,547277,553806,560048,566017,571797,577291,582715,587900,593100,598091,602868,607494,611981,616160,620436,624509,628453,632339,635981,639633,643221,646646,649962,653129,656268,659406,662422,665395,668247,671117,673860,676499,679080,681541,683934,686335,688655,690867,692987,695168,697187,699242,701202,703206,705138,706993,708728,710444,712175,713853,715552,717212,718755,720273,721750,723233,724678,726084,727418,728763,730059,731312,732584,733766,734944,736157,737308,738492,739569,740667,741777,
86420,0,0,10,116,647,2093,4953,9721,16469,25329,36019,48088,61337,75681,90537,105691,121278,137108,152503,168196,183523,198723,213391,227653,241734,255133,268354,281430,293849,306023,317578,328944,339746,350172,360480,370242,379663,388729,397501,406105,414561,422481,430282,437805,444987,451957,458781,465232,471597,477688,483571,489412,495121,500527,505848,510910,515984,520695,525325,529971,534365,538621,542744,546735,550655,554418,558027,561533,565076,568469,571828,575074,578140,581305,584324,587245,590097,592974,595591,598224,600797,603311,605752,608117,610457,612740,614914,617031,619096,621085,623052,624905,626769,628636,630434,632165,633877,635535,637132,638724,640301,641788,643320,644813,646236,647688,649122,650510,651818,653090,654356,655552,656725,657952,659087,660231,661326,662407,663416,
86430,0,0,1,34,235,927,2537,5300,9549,15336,22416,30859,40234,50796,61996,73895,86092,98744,111539,124221,136950,149732,162155,174570,186695,198467,210001,221229,232242,242807,253329,263544,273547,283329,292838,301823,310479,318934,327215,335151,342697,350033,357389,364392,371049,377597,384061,390283,396339,402135,407822,413285,418500,423663,428711,433647,438273,443011,447527,451875,456147,460335,464311,468176,471923,475638,479233,482630,485959,489344,492621,495692,498747,501725,504568,507394,510230,512919,515543,518093,520704,523158,525455,527715,529961,532233,534434,536504,538589,540579,542554,544468,546369,548222,549989,551755,553501,555230,556865,558455,559953,561427,562916,564381,565761,567145,568520,569858,571162,572486,573685,574884,576097,577250,578429,579560,580605,581693,582768,
86440,0,0,0,8,84,377,1089,2465,4878,8260,12747,18244,24633,31957,40006,48724,57878,67236,77171,87348,97423,107717,118074,128304,138427,148571,158333,167888,177220,186527,195727,204562,213231,221923,230190,238151,245886,253528,260964,268204,275216,282186,288870,295382,301727,307872,313631,319333,324939,330407,335699,340794,345865,350756,355657,360279,364718,369127,373256,377391,381576,385440,389100,392927,396571,399969,403416,406770,409903,413058,416179,419204,422208,425096,427878,430558,433208,435707,438260,440709,443122,445536,447924,450178,452250,454362,456488,458546,460631,462537,464491,466348,468175,469935,471721,473441,475119,476745,478364,479888,481368,482936,484449,485893,487285,488614,489976,491277,492488,493785,495044,496189,497374,498531,499640,500723,501791,502867,503909,
86450,0,0,0,4,25,116,369,976,2075,3867,6302,9414,13356,18008,23217,29228,35517,42354,49480,56983,64689,72453,80298,88391,96437,104371,112474,120265,128057,135802,143397,150932,158254,165358,172333,179178,185940,192496,199073,205590,211791,217793,223698,229311,235014,240398,245713,250784,255927,260770,265541,270237,274797,279273,283628,287654,291632,295634,299575,303351,307102,310697,314176,317578,320884,324133,327384,330481,333559,336552,339459,342317,345159,347809,350320,352887,355397,357980,360378,362752,364979,367264,369444,371544,373623,375696,377750,379686,381558,383379,385237,387022,388789,390515,392241,393912,395467,397027,398598,400085,401580,403025,404439,405861,407211,408540,409846,411133,412388,413605,414794,415995,417103,418265,419353,420438,421484,422492,423480,
86460,0,0,0,0,3,36,189,543,1209,2295,3858,6019,8769,12148,16067,20363,25371,30700,36330,42379,48571,54887,61393,68019,74809,81599,88328,95092,101849,108556,115195,121941,128365,134638,140803,146980,153019,158977,164718,170405,176156,181639,187117,192366,197461,202399,207422,212178,216851,221358,225782,230087,234259,238323,242425,246364,250222,253922,257622,261203,264648,267996,271347,274533,277692,280823,283872,286872,289785,292516,295217,297999,300678,303222,305702,308196,310582,312854,315119,317364,319632,321761,323892,325931,327956,329935,331836,333695,335563,337371,339216,340977,342687,344339,345972,347533,349091,350633,352175,353635,355072,356508,357856,359185,360516,361789,363011,364287,365465,366658,367813,368866,369959,371040,372134,373260,374263,375314,376323,
86470,0,0,0,0,2,11,72,228,539,1139,2109,3541,5379,7632,10350,13581,17062,21024,25258,29971,34737,39726,45021,50281,55722,61143,66769,72392,78100,83664,89235,94842,100366,105972,111598,117018,122382,127693,132735,137840,142813,147588,152358,157057,161789,166267,170569,174902,178986,183142,187076,190942,194787,198618,202254,205861,209382,213008,216314,219618,222919,226127,229100,232140,235123,237978,240806,243592,246263,248976,251617,254188,256692,259141,261521,263788,266051,268274,270471,272613,274771,276871,278856,280756,282626,284440,286244,287977,289809,291536,293189,294875,296492,297999,299518,301028,302547,303931,305324,306729,308089,309405,310692,311935,313164,314374,315603,316808,317982,319117,320272,321382,322428,323486,324577,325658,326649,327642,328593,
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86490,0,0,0,0,0,0,5,27,94,240,510,928,1538,2374,3443,4723,6220,7952,9951,12160,14706,17421,20255,23294,26362,29595,32767,36151,39667,43189,46763,50358,54014,57767,61330,64937,68664,72355,76018,79694,83228,86690,90301,93853,97262,100647,104040,107280,110398,113476,116613,119691,122621,125561,128483,131274,134131,136845,139593,142267,144902,147357,149890,152373,154707,157030,159351,161712,163956,166186,168287,170397,172398,174456,176421,178370,180303,182156,183930,185745,187474,189179,190912,192609,194254,195881,197426,198919,200459,201951,203453,204916,206279,207687,209084,210392,211691,212995,214257,215434,216625,217838,219040,220176,221270,222347,223429,224506,225498,226559,227537,228538,229590,230528,231421,232279,233154,234042,234897,
86500,0,0,0,0,0,0,2,7,28,63,161,337,625,1021,1545,2240,3109,4150,5309,6625,8139,9857,11730,13731,15780,18078,20380,22728,25252,27865,30497,33215,35936,38764,41500,44373,47279,50123,52893,55753,58525,61360,64138,66905,69587,72379,75096,77756,80333,83027,85643,88161,90669,93087,95532,97877,100232,102593,104892,107185,109367,111572,113792,115987,118023,120151,122106,124005,126008,127888,129699,131625,133415,135197,136966,138627,140282,141858,143469,145052,146613,148163,149639,151130,152586,154025,155426,156801,158213,159563,160873,162198,163472,164717,165966,167185,168339,169547,170645,171777,172916,174019,175082,176115,177161,178171,179153,180158,181082,182029,182907,183778,184627,185537,186385,187254,188089,188946,189725,
86510,0,0,0,0,0,0,0,3,11,33,60,132,257,431,697,1053,1467,2039,2699,3457,4347,5358,6531,7896,9257,10724,12290,14030,15771,17609,19450,21402,23466,25446,27516,29594,31656,33858,36077,38283,40514,42716,44976,47144,49356,51588,53773,55942,58134,60189,62354,64384,66422,68500,70559,72546,74493,76441,78415,80345,82148,84028,85881,87677,89457,91196,92867,94538,96222,97918,99543,101091,102662,104199,105734,107277,108730,110156,111624,113094,114483,115872,117272,118586,119772,121033,122375,123657,124900,126065,127214,128397,129486,130588,131682,132758,133816,134850,135904,136855,137834,138832,139791,140777,141748,142664,143588,144475,145320,146184,147033,147843,148658,149484,150267,151006,151749,152491,153209,
86520,0,0,0,0,0,0,1,1,3,7,23,50,87,165,269,435,658,951,1281,1660,2124,2704,3333,4042,4892,5818,6735,7756,8851,10000,11255,12520,13843,15176,16600,18045,19486,20993,22492,24064,25612,27125,28707,30307,31962,33542,35179,36763,38361,40022,41592,43236,44814,46382,47970,49563,51224,52748,54201,55647,57084,58562,59972,61412,62812,64179,65492,66815,68185,69550,70882,72210,73462,74763,76024,77214,78483,79709,80833,81955,83159,84272,85388,86570,87655,88707,89748,90825,91865,92872,93805,94798,95751,96679,97628,98571,99495,100403,101318,102247,103125,103959,104813,105597,106359,107197,108009,108761,109558,110295,110978,111723,112414,113115,113821,114522,115163,115823,116468,
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86540,0,0,0,0,0,0,0,0,0,0,0,0,0,1,5,9,20,32,55,90,145,205,296,370,470,610,755,906,1133,1381,1632,1889,2189,2535,2894,3268,3673,4056,4494,4947,5407,5880,6373,6857,7391,7932,8495,9068,9655,10223,10823,11446,12056,12668,13271,13904,14532,15170,15835,16471,17142,17822,18476,19115,19769,20389,21037,21662,22310,22966,23660,24303,24923,25509,26132,26703,27345,27969,28574,29228,29830,30452,31077,31692,32233,32834,33377,33912,34507,35039,35541,36099,36669,37207,37782,38307,38805,39328,39818,40301,40806,41285,41740,42211,42719,43197,43670,44149,44616,45056,45489,45911,46352,46798,47236,47688,48145,48529,48948,
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86570,2,236,2658,10685,26433,50152,79949,113705,149766,186998,224333,260868,296239,330101,362781,394207,423907,451867,478329,503513,527481,550231,571494,591519,610404,628393,645519,661700,676982,691663,705663,718942,731612,743642,755107,766032,776442,786312,795859,805081,813827,822308,830232,838252,845733,852872,859661,866214,872545,878621,884593,890348,895874,901223,906377,911323,916148,920761,925233,929498,933560,937659,941611,945327,949054,952685,956166,959484,962614,965796,968832,971785,974653,977536,980192,982897,985403,987907,990331,992607,994900,997118,999250,1001392,1003428,1005420,1007353,1009199,1010987,1012835,1014573,1016346,1017987,1019684,1021263,1022811,1024302,1025767,1027141,1028592,1030033,1031359,1032619,1033965,1035268,1036505,1037690,1038891,1040029,1041191,1042314,1043401,1044445,1045472,1046498,1047489,1048435,1049323,1050275,
86580,1,40,740,3872,11210,23834,41179,62813,87150,113495,141422,169591,197806,225194,252343,278544,303766,328142,351727,374213,395139,415390,434906,453449,471051,487993,503951,519289,533910,547942,561358,574307,586441,598146,609301,620157,630322,640041,649592,658546,667310,675650,683714,691359,698709,705847,712675,719365,725775,731933,737819,743725,749374,754803,759993,764910,769719,774277,778919,783366,787580,791780,795701,799652,803417,807010,810543,814090,817253,820592,823804,826976,829954,832890,835689,838388,841049,843597,846105,848510,850792,853099,855416,857623,859784,861814,863853,865866,867848,869736,871538,873400,875146,876822,878520,880164,881701,883216,884724,886194,887583,889017,890440,891847,893124,894440,895745,896985,898179,899374,900571,901646,902747,903853,904825,905824,906787,907753,908678,
86590,0,3,139,976,3626,9070,17650,29404,43839,60317,78566,97734,117528,137710,158166,178379,198157,217777,236956,255525,273175,290431,307003,322727,338276,353147,367508,381200,394495,407210,419236,431060,442449,453509,464085,474105,483624,492920,501838,510416,518557,526455,534130,541650,548872,555830,562517,568921,575079,581178,587006,592569,598059,603274,608480,613470,618144,622712,627250,631586,635668,639722,643737,647615,651428,655083,658601,661990,665352,668595,671766,674870,677917,680811,683587,686362,688991,691650,694220,696753,699190,701528,703837,706090,708224,710362,712376,714388,716305,718169,720017,721820,723607,725279,727033,728700,730215,731839,733398,734881,736351,737869,739323,740665,742044,743348,744653,745875,747093,748315,749502,750622,751767,752964,754055,755138,756169,757131,758145,
86600,0,2,59,444,1822,4904,10271,18233,28380,40438,54253,69488,85456,101824,118560,135531,152486,169278,185847,202188,218012,233424,248300,262631,276575,290306,303292,315978,328360,340390,351814,362780,373440,383643,393389,403092,412411,421336,429946,438065,446024,453671,461148,468396,475289,481950,488391,494600,500559,506443,512019,517544,522903,528070,533060,537958,542648,547204,551530,555836,560015,564092,568054,571773,575442,579022,582479,585865,589197,592336,595386,598439,601444,604257,607045,609776,612463,615105,617684,620137,622570,624963,627231,629378,631482,633627,635702,637682,639670,641539,643362,645171,646935,648645,650285,652001,653590,655206,656769,658315,659860,661318,662808,664173,665542,666906,668251,669571,670778,672034,673231,674395,675536,676644,677782,678873,679908,680957,682014,
86610,0,0,16,185,846,2512,5702,10543,17292,25532,35449,46595,58586,71465,84924,98577,112480,126433,140282,154071,167619,180964,194014,206827,219404,231514,243304,254720,266006,276652,286856,297062,306844,316256,325404,334246,342704,350985,358913,366691,374092,381338,388223,395035,401549,408027,414103,420070,425949,431498,436873,442103,447135,452161,457019,461658,466086,470592,474915,479121,483113,487082,490925,494646,498347,501812,505287,508613,511832,514974,518047,521063,524016,526807,529581,532283,534930,537504,539959,542397,544729,547048,549317,551504,553611,555705,557736,559677,561575,563469,565315,567188,569055,570815,572582,574228,575904,577464,578983,580515,581960,583355,584756,586160,587522,588881,590130,591374,592667,593848,595012,596229,597306,598446,599532,600608,601684,602696,603671,
86620,0,0,2,50,318,1034,2597,5423,9522,14804,21206,28873,37411,46799,56971,67224,77953,88893,100005,111253,122231,133165,144352,155095,165832,176231,186501,196547,206314,215778,225128,234096,242831,251250,259501,267547,275373,282981,290210,297332,304256,310773,317175,323452,329686,335591,341368,346978,352390,357737,362914,367903,372879,377537,382097,386604,390984,395246,399376,403380,407251,411106,414725,418259,421693,425070,428255,431485,434636,437693,440582,443501,446324,449033,451684,454327,456918,459416,461843,464239,466568,468855,470995,473086,475187,477247,479233,481218,483074,484943,486803,488556,490272,491982,493665,495326,496876,498457,499999,501456,502906,504317,505669,507029,508389,509718,511075,512298,513500,514737,515919,517114,518264,519330,520441,521549,522541,523517,524529,
86630,0,0,2,21,110,376,1016,2293,4461,7426,11273,15995,21473,27757,34586,42034,49798,57845,66290,74851,83400,92141,101082,109744,118417,127123,135527,143925,152063,160174,168037,175586,183157,190477,197861,204718,211410,218137,224730,231022,237205,243216,248930,254652,260256,265557,270864,275992,280920,285672,290471,295098,299600,303958,308152,312153,316065,319907,323657,327367,331027,334605,338064,341439,344750,348015,351155,354160,357160,360135,362971,365712,368377,370953,373526,376081,378527,380834,383193,385486,387732,389857,391982,394049,396045,397972,399972,401931,403716,405464,407193,408850,410500,412134,413722,415271,416847,418435,419818,421249,422663,424044,425371,426638,427932,429211,430453,431633,432827,433983,435232,436364,437499,438605,439692,440751,441769,442744,443729,
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86650,0,0,0,2,12,63,246,661,1391,2597,4270,6479,9241,12507,16410,20687,25341,30235,35460,41063,46782,52666,58652,64870,71049,77241,83521,89736,95775,101878,107930,113869,119633,125421,131159,136689,142233,147561,152949,158235,163290,168212,172972,177817,182448,187000,191454,195736,199979,204225,208348,212383,216294,220006,223699,227341,230961,234286,237749,241105,244330,247466,250522,253554,256551,259413,262299,265042,267620,270186,272723,275182,277618,279957,282249,284596,286797,288972,291168,293226,295289,297323,299231,301161,302994,304885,306702,308397,310138,311783,313406,314979,316513,317984,319616,321145,322580,323982,325352,326688,327944,329238,330544,331827,333038,334194,335406,336589,337679,338854,339887,340963,341988,343014,344030,345043,346058,346920,347869,
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86680,0,0,0,0,0,1,7,32,93,220,447,788,1300,1967,2841,3924,5188,6645,8351,10244,12305,14540,16897,19409,21947,24670,27448,30248,33247,36141,39206,42295,45344,48361,51482,54481,57548,60632,63754,66869,69987,72989,75963,78894,81757,84632,87453,90291,93050,95753,98421,101104,103712,106365,108858,111193,113671,116129,118550,120971,123266,125415,127512,129738,131820,133954,136033,138036,140011,141952,143799,145623,147507,149289,150960,152605,154328,156014,157659,159242,160853,162443,163945,165426,166890,168318,169708,171006,172389,173683,174967,176239,177489,178758,179944,181099,182301,183371,184565,185671,186779,187860,188889,189948,190919,191902,192843,193784,194715,195719,196664,197542,198425,199310,200149,200972,201810,202660,203449,
86690,0,0,0,0,0,0,1,13,30,69,158,322,535,882,1339,1912,2614,3488,4473,5606,6871,8297,9905,11508,13269,15131,17077,19136,21231,23391,25568,27919,30242,32554,34834,37154,39596,42055,44440,46817,49238,51697,54047,56382,58786,61093,63425,65729,68072,70294,72526,74711,76855,78934,80958,83026,85104,87054,89049,90987,92974,94983,96869,98754,100575,102340,104153,105795,107511,109155,110809,112429,114000,115646,117165,118631,120145,121614,123038,124475,125804,127150,128481,129787,131124,132440,133733,135002,136195,137392,138604,139719,140800,141903,143034,144099,145223,146252,147281,148300,149244,150218,151181,152116,153049,153982,154922,155830,156660,157548,158374,159177,160013,160856,161653,162388,163141,163863,164617,
86700,0,0,0,0,0,0,1,3,7,14,39,92,174,305,511,760,1090,1494,2007,2600,3298,4077,4943,5897,6877,8012,9215,10483,11834,13288,14746,16247,17889,19457,21120,22710,24417,26179,27853,29565,31323,33148,34868,36641,38410,40189,42000,43849,45540,47228,48954,50660,52384,54021,55689,57338,59011,60670,62197,63852,65494,67055,68581,70118,71666,73192,74685,76057,77511,78839,80157,81540,82863,84098,85376,86685,87945,89198,90448,91683,92910,94094,95273,96383,97530,98626,99676,100710,101757,102779,103772,104746,105770,106727,107663,108593,109496,110453,111326,112193,113092,113968,114819,115650,116439,117258,118060,118816,119591,120330,121059,121757,122436,123157,123845,124491,125197,125895,126549,
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86920,209,4930,23084,56607,101492,152522,206356,259535,310635,359410,404911,447501,487140,524210,558971,591158,621118,648720,674400,698547,720921,741886,761328,779788,797179,813772,829166,843742,857661,870735,883150,895080,906245,916791,926993,936494,945543,954318,962716,970658,978390,985646,992737,999477,1005787,1011997,1017963,1023737,1029195,1034532,1039630,1044405,1049140,1053655,1057967,1062246,1066319,1070212,1074001,1077698,1081272,1084833,1088252,1091495,1094561,1097524,1100390,1103152,1105878,1108647,1111246,1113768,1116171,1118495,1120826,1123133,1125332,1127454,1129555,1131630,1133535,1135426,1137335,1139131,1140900,1142577,1144158,1145804,1147423,1149024,1150630,1152105,1153626,1155010,1156329,1157683,1158925,1160174,1161418,1162625,1163818,1164978,1166139,1167217,1168282,1169340,1170362,1171361,1172385,1173339,1174252,1175144,1176061,1176967,1177842,1178658,1179488,1180318,1181140,
86930,43,1830,10701,30281,59599,95977,136294,178124,220078,261113,300327,337690,373241,406633,438004,467910,495738,521869,546621,569912,591602,611885,630871,648829,666039,682407,697781,712076,725977,739048,751422,763112,774468,785076,795254,805020,814353,823218,831799,839803,847788,855206,862391,869374,876071,882461,888576,894403,900115,905516,910680,915654,920549,925190,929740,934179,938400,942445,946397,950258,953839,957465,960926,964358,967662,970731,973762,976654,979489,982265,984961,987638,990282,992805,995273,997599,999875,1002090,1004245,1006347,1008417,1010386,1012275,1014118,1016040,1017888,1019560,1021316,1022944,1024624,1026255,1027790,1029375,1030803,1032246,1033667,1034992,1036382,1037749,1039075,1040282,1041516,1042707,1043865,1045026,1046131,1047271,1048377,1049448,1050531,1051561,1052597,1053537,1054471,1055392,1056289,1057168,1058044,1058885,
86940,3,500,3912,13392,30054,53048,80065,110207,141838,173682,205418,236316,266502,295661,323135,349276,374286,398034,420724,441975,462048,481096,499438,516583,532984,548209,563093,577332,590784,603554,615707,627317,638447,649014,659106,668681,677992,686825,695304,703532,711303,718761,725745,732624,739246,745706,751924,757917,763648,769187,774763,779907,784837,789699,794384,798942,803285,807369,811433,815280,819043,822810,826389,829873,833347,836531,839641,842697,845696,848545,851364,854114,856824,859439,862006,864440,866805,869097,871388,873566,875752,877890,879942,881928,883842,885714,887557,889353,891035,892708,894382,895958,897491,899082,900598,902034,903530,904992,906308,907722,909035,910329,911593,912774,913902,915086,916210,917316,918412,919513,920564,921602,922578,923621,924582,925472,926459,927413,928302,
86950,0,78,1034,4545,12107,24042,39827,58621,79693,102042,125209,148744,171920,194734,216912,238533,259514,279957,299211,317641,335456,352615,368791,384203,399185,413477,427204,440300,452845,464825,476371,487349,497885,508074,517784,526889,535794,544417,552560,560351,568084,575481,582519,589272,595674,601951,608060,614011,619801,625246,630460,635610,640546,645271,650036,654562,659018,663234,667543,671489,675379,679096,682626,686191,689610,692917,696112,699246,702357,705314,708225,711014,713700,716352,718987,721436,723886,726200,728624,730851,733076,735121,737178,739231,741223,743169,745099,746897,748630,750340,752012,753665,755378,756997,758604,760050,761488,762969,764432,765825,767176,768596,769908,771160,772386,773634,774838,775955,777118,778234,779345,780357,781418,782456,783427,784437,785416,786378,787297,
86960,1,30,451,2321,6784,14678,25933,39800,55752,73529,92185,111567,131337,151114,170358,189528,207820,225780,243432,260386,276516,292099,306945,321530,335234,348787,361688,373985,385845,397144,408103,418535,428678,438222,447562,456662,465156,473407,481447,489102,496573,503814,510716,517507,524020,530160,536100,541803,547448,552961,558387,563477,568303,573105,577831,582310,586591,590802,594888,598827,602590,606353,609874,613370,616693,620046,623178,626305,629300,632260,635152,637986,640639,643373,645928,648463,650881,653154,655444,657698,659814,662005,664145,666237,668208,670143,672033,673831,675619,677372,679106,680824,682473,684088,685696,687182,688653,690141,691596,692974,694366,695691,696962,698248,699452,700685,701907,703033,704122,705234,706339,707398,708454,709427,710455,711427,712438,713403,714364,
86970,0,15,192,1148,3607,8270,15501,25062,36516,49812,64406,79790,95544,111626,127892,143932,159625,175160,190614,205555,219968,233930,247294,260522,273124,285430,297217,308679,319568,330065,340191,350131,359637,368857,377529,386222,394209,402112,409792,417228,424416,431287,437921,444349,450463,456326,462044,467585,472982,478211,483316,488228,492951,497592,502056,506377,510628,514794,518879,522774,526595,530201,533819,537234,540525,543712,546824,549914,552840,555783,558637,561389,564098,566643,569176,571633,574037,576505,578808,581125,583257,585471,587578,589587,591564,593513,595399,597213,599003,600758,602499,604187,605888,607561,609204,610653,612165,613646,615039,616390,617816,619210,620524,621828,622997,624229,625444,626621,627775,628944,630147,631197,632276,633280,634298,635268,636212,637158,638104,
86980,0,3,71,405,1579,4082,8228,14529,22162,31208,41644,52921,64896,77467,90065,102960,115940,128851,141606,154334,166708,178677,190444,202061,213194,224083,234525,244700,254665,264267,273756,282810,291529,300159,308384,316078,323663,330825,337935,344645,351371,357834,364060,370190,375966,381516,386987,392381,397539,402605,407504,412377,416878,421283,425615,429870,433974,437873,441730,445376,449067,452655,456066,459398,462708,465975,469100,472104,475065,477910,480704,483419,486074,488621,491131,493668,496067,498414,500569,502827,504951,507095,509125,511163,513121,515031,516847,518645,520443,522215,523854,525521,527099,528717,530266,531744,533250,534698,536046,537425,538781,540120,541413,542667,543896,545109,546298,547449,548582,549677,550811,551862,552971,554042,555061,556095,557096,558048,559003,
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87000,0,0,6,64,284,945,2343,4542,7636,11770,16808,22629,29052,36183,43721,51561,59863,68279,76909,85498,94149,102805,111499,120073,128454,136674,144738,152696,160540,168188,175593,183005,190045,196970,203804,210269,216695,222915,228903,234705,240288,245783,251144,256276,261330,266263,271014,275754,280336,284721,289022,293138,297134,301087,304883,308706,312388,315904,319380,322819,326226,329547,332737,335852,338925,341831,344606,347355,350077,352694,355308,357867,360300,362712,364973,367281,369580,371687,373863,375899,377944,379917,381872,383776,385602,387466,389220,390854,392590,394324,395927,397515,399091,400576,402020,403422,404853,406228,407590,408958,410227,411482,412661,413830,415004,416158,417266,418360,419468,420532,421586,422628,423655,424686,425598,426501,427401,428357,429265,
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87020,0,0,1,5,46,177,537,1236,2372,4024,6228,8959,12213,16010,20132,24794,29814,35030,40360,45869,51590,57389,63413,69310,75265,81166,87071,92945,98711,104516,110076,115791,121302,126725,131917,137068,142027,146932,151886,156559,161242,165738,170225,174534,178914,183141,187159,191079,194842,198549,202243,205802,209265,212704,216092,219381,222715,225715,228804,231734,234661,237457,240224,243071,245705,248232,250722,253168,255569,258034,260266,262478,264764,266889,269006,271109,273175,275136,277071,278998,280819,282624,284453,286173,287866,289516,291159,292729,294259,295804,297276,298819,300261,301628,302973,304347,305675,306991,308179,309430,310619,311720,312903,314087,315213,316351,317392,318455,319456,320448,321452,322405,323385,324286,325281,326176,327060,327951,328790,
87030,0,0,0,1,13,54,192,507,1110,2044,3357,5042,7083,9470,12250,15379,18848,22606,26575,30642,34996,39441,43951,48532,53218,57823,62483,67233,71938,76618,81184,85792,90332,94840,99395,103743,108192,112488,116728,120760,124772,128836,132731,136558,140373,144039,147702,151177,154634,158100,161380,164638,167792,170850,173747,176696,179640,182505,185342,188052,190716,193369,195883,198366,200829,203225,205534,207851,210049,212184,214402,216487,218582,220515,222556,224461,226309,228179,230034,231772,233534,235247,236888,238513,240080,241615,243149,244651,246099,247544,248919,250320,251681,252986,254250,255501,256795,258043,259263,260445,261665,262775,263823,264927,266032,267068,268110,269172,270152,271175,272128,273038,273932,274805,275725,276559,277428,278233,279098,
87040,0,0,0,0,5,15,75,186,431,864,1500,2347,3476,4907,6568,8452,10630,13044,15612,18350,21271,24373,27567,30891,34361,37900,41543,45107,48699,52249,55875,59511,63111,66776,70304,73856,77471,81022,84518,87918,91308,94571,97896,101028,104141,107303,110363,113459,116401,119301,122055,124872,127532,130206,132753,135372,137857,140284,142721,145082,147410,149750,152058,154337,156534,158642,160697,162731,164768,166715,168634,170568,172309,174201,175944,177694,179361,181069,182651,184278,185890,187437,188972,190477,191910,193367,194779,196148,197490,198794,200048,201316,202604,203805,204906,206137,207235,208410,209567,210663,211688,212762,213866,214881,215883,216888,217855,218853,219806,220707,221631,222475,223344,224173,225029,225879,226748,227479,228260,
87050,0,0,0,0,0,4,23,63,163,331,616,1042,1674,2423,3426,4570,5891,7489,9218,11001,13039,15151,17384,19716,22218,24635,27176,29864,32596,35315,38169,40916,43697,46579,49482,52206,55029,57927,60740,63485,66174,68925,71629,74245,76772,79425,81972,84500,86943,89364,91712,94138,96375,98674,100904,103041,105164,107343,109447,111561,113643,115616,117584,119518,121415,123205,125103,126878,128564,130377,132114,133808,135438,136993,138509,140067,141625,143141,144591,146002,147415,148837,150232,151575,152877,154148,155377,156594,157775,159001,160165,161385,162542,163686,164791,165871,166908,167967,169007,170027,171017,171931,172856,173838,174726,175609,176466,177337,178182,179024,179855,180696,181466,182272,183050,183835,184546,185276,186013,
87060,0,0,0,0,0,1,3,9,39,90,188,362,617,946,1432,1955,2595,3457,4399,5407,6610,7901,9272,10793,12391,13979,15711,17481,19239,21150,23082,25034,27016,29050,31146,33169,35202,37340,39434,41486,43584,45599,47553,49575,51665,53706,55660,57588,59511,61426,63422,65335,67187,69039,70870,72660,74386,76091,77789,79453,81151,82850,84435,86097,87716,89270,90792,92250,93724,95233,96669,98084,99441,100801,102062,103437,104775,106028,107377,108588,109858,111095,112362,113552,114688,115818,116966,118079,119149,120185,121234,122250,123243,124223,125181,126151,127114,128048,128945,129831,130692,131558,132403,133255,134082,134875,135644,136445,137178,137918,138630,139324,140061,140795,141470,142175,142844,143508,144150,
87070,0,0,0,0,0,0,1,4,10,28,58,102,167,261,402,616,892,1221,1629,2137,2661,3281,3952,4688,5491,6407,7372,8359,9435,10548,11651,12832,14104,15361,16658,17932,19284,20630,22003,23391,24826,26187,27609,29056,30446,31835,33207,34616,35978,37444,38888,40268,41630,43017,44388,45695,47032,48359,49657,50924,52199,53431,54710,55940,57164,58320,59448,60641,61780,62900,64061,65205,66286,67394,68462,69432,70488,71558,72549,73537,74483,75448,76414,77345,78264,79218,80128,81030,81915,82795,83674,84489,85339,86098,86873,87633,88397,89180,89955,90633,91322,92041,92765,93421,94133,94812,95514,96186,96853,97479,98116,98735,99328,99934,100505,101099,101657,102248,102857,
87080,0,0,0,0,0,0,0,0,1,1,5,10,18,39,65,110,168,236,343,472,645,838,1067,1308,1622,1953,2325,2758,3157,3629,4123,4626,5225,5854,6441,7076,7721,8413,9072,9787,10545,11268,12018,12744,13506,14341,15178,16070,16892,17707,18573,19355,20189,21026,21890,22753,23598,24397,25309,26117,26944,27735,28569,29373,30169,30964,31773,32524,33343,34122,34890,35641,36398,37175,37912,38677,39396,40126,40869,41536,42245,42921,43579,44258,44932,45565,46196,46836,47506,48135,48754,49372,49936,50515,51122,51706,52290,52881,53451,54018,54553,55109,55644,56164,56703,57257,57799,58266,58741,59176,59654,60098,60553,61019,61479,61937,62370,62811,63238,
87093,3885,33923,95600,174806,259004,340915,417016,486660,549880,606805,658540,705295,747850,786320,821056,852739,882051,908943,933791,956941,978284,998167,1016550,1033593,1049691,1064772,1078997,1092258,1104576,1116453,1127358,1137748,1147689,1157260,1166173,1174697,1182827,1190573,1197939,1205033,1211536,1217722,1223666,1229508,1235147,1240501,1245676,1250787,1255585,1260151,1264578,1268719,1272740,1276712,1280423,1284104,1287610,1291047,1294261,1297363,1300360,1303324,1306274,1309027,1311650,1314244,1316777,1319185,1321542,1323912,1326132,1328286,1330450,1332504,1334355,1336229,1338126,1339926,1341701,1343397,1345067,1346692,1348260,1349794,1351268,1352730,1354168,1355559,1356922,1358212,1359539,1360817,1362073,1363267,1364371,1365470,1366562,1367588,1368620,1369665,1370757,1371784,1372714,1373637,1374540,1375458,1376347,1377171,1378001,1378757,1379571,1380370,1381106,1381877,1382559,1383242,1383947,1384621,1385226,
87100,534,8691,33874,75147,126348,181712,237601,291646,343435,391877,437076,478571,517250,553168,586310,616916,645252,672069,696792,719837,741052,761142,779849,797412,814056,829616,844096,857963,870981,883389,895118,906182,916839,927159,936691,945690,954428,962482,970446,977918,985180,992007,998696,1005246,1011525,1017342,1022979,1028399,1033682,1038636,1043555,1048159,1052641,1056922,1061166,1065192,1069039,1072741,1076418,1079928,1083333,1086679,1089798,1092921,1095958,1098789,1101565,1104210,1106769,1109273,1111805,1114205,1116549,1118821,1121074,1123192,1125288,1127356,1129348,1131360,1133195,1134949,1136783,1138539,1140173,1141839,1143421,1144978,1146491,1148006,1149448,1150875,1152282,1153654,1154910,1156169,1157376,1158565,1159772,1160972,1162124,1163299,1164386,1165435,1166460,1167526,1168509,1169502,1170484,1171394,1172354,1173283,1174149,1174981,1175812,1176612,1177407,1178254,1178980,
87110,136,3426,16597,41919,77514,118491,162287,206598,249780,291374,330775,367868,403266,436279,467080,496153,523036,548226,572127,594119,615045,634653,653188,670684,686692,702130,716800,730634,743668,756146,768110,779449,790019,800413,810224,819749,828691,837268,845508,853403,860911,868101,874933,881550,887922,893936,899772,905475,910763,916002,920866,925680,930363,934904,939310,943487,947505,951380,955132,958891,962349,965823,969095,972385,975498,978518,981493,984389,987184,989857,992493,995021,997493,999805,1002102,1004362,1006593,1008623,1010757,1012777,1014733,1016601,1018473,1020311,1022092,1023917,1025598,1027235,1028821,1030390,1031938,1033458,1034919,1036339,1037718,1039079,1040403,1041728,1042966,1044215,1045400,1046553,1047666,1048738,1049851,1050921,1051995,1053017,1054031,1055012,1055935,1056916,1057807,1058734,1059606,1060498,1061342,1062170,1062943,
87120,17,1054,6632,20044,41362,68300,99394,132520,166612,200309,233126,264820,295131,323785,351123,377036,401691,424897,446912,467662,487259,506083,523678,540467,556354,571281,585646,599225,611852,624234,636026,647228,657840,667936,677614,686762,695674,704130,712234,719950,727472,734784,741753,748299,754647,760860,766762,772515,777978,783568,788679,793602,798408,802986,807535,811860,816016,820075,824008,827799,831559,835130,838560,841889,844970,848097,851080,854081,857002,859823,862487,865136,867696,870224,872653,875008,877248,879477,881694,883755,885861,887873,889835,891725,893516,895349,897060,898751,900469,902113,903703,905248,906773,908216,909649,911014,912369,913808,915192,916466,917760,918961,920183,921371,922524,923675,924742,925803,926897,927928,928945,929933,930887,931831,932765,933683,934565,935437,936294,
87130,2,215,2069,7603,18031,33382,52511,74677,98064,122620,147416,171847,196161,219802,242644,265120,286223,306547,326074,344474,362195,378766,394966,410180,424756,438801,452024,464938,477081,488695,499935,510475,520627,530460,539857,548860,557639,566093,574174,581690,589011,596087,602843,609328,615689,621887,627647,633278,638831,644100,649226,654184,658988,663684,668118,672474,676640,680576,684503,688331,692062,695748,699190,702504,705758,708977,712088,715152,718056,720868,723714,726339,729010,731445,733909,736418,738789,741056,743362,745529,747549,749648,751618,753565,755554,757423,759287,761030,762738,764369,766085,767676,769298,770780,772227,773687,775117,776515,777894,779205,780562,781833,783047,784271,785526,786695,787807,788955,790053,791177,792239,793291,794213,795211,796160,797101,798048,798920,799855,
87140,0,75,960,4132,10803,21395,35099,51806,70542,90342,110836,131889,152585,173136,193187,212604,231650,250200,267910,284861,301267,316952,332163,346296,359908,373151,385727,397635,409332,420485,431191,441472,451428,460618,469719,478230,486551,494588,502186,509612,516952,523942,530640,537136,543324,549365,555201,560660,565974,571089,576191,581058,585873,590534,594946,599207,603419,607535,611468,615196,618863,622459,625922,629332,632645,635808,638838,641888,644857,647619,650442,653137,655752,658312,660832,663264,665576,667868,670099,672173,674203,676207,678195,680104,682041,683891,685660,687483,689251,690881,692506,694144,695718,697240,698809,700325,701801,703169,704555,705926,707177,708454,709742,711027,712219,713450,714586,715708,716833,717928,718993,720001,721011,721951,722915,723888,724824,725739,726666,
87150,0,31,419,2008,5848,12583,22144,34024,47904,63258,79324,96059,113227,130287,147527,164307,180936,197088,212636,227855,242597,256584,270317,283405,296223,308260,319828,331023,342089,352497,362531,372080,381302,390177,398720,407074,415204,422811,430220,437350,444254,450874,457300,463484,469487,475175,480613,486045,491450,496549,501538,506343,511008,515528,520003,524156,528283,532353,536292,540069,543650,547218,550695,553966,557182,560288,563414,566376,569194,572075,574868,577558,580158,582798,585211,587616,590019,592302,594437,596630,598769,600888,602862,604937,606870,608772,610533,612313,614059,615760,617419,619031,620567,622116,623634,625134,626537,627996,629393,630751,632100,633433,634671,635914,637104,638320,639453,640608,641685,642772,643815,644924,645948,646950,647998,648919,649855,650801,651695,
87160,0,4,158,853,2809,6474,12239,20058,29745,40549,52734,65504,78767,92541,106318,120114,133781,147395,160863,173934,186683,199290,211191,222983,234304,245247,255828,266157,275975,285456,294697,303599,312118,320601,328768,336463,343888,351122,358186,364900,371410,377813,383939,389911,395578,401159,406605,411835,416946,421892,426653,431248,435818,440152,444364,448531,452442,456304,460077,463722,467349,470829,474189,477540,480660,483681,486698,489599,492406,495233,498030,500586,503251,505694,508149,510520,512885,515153,517347,519442,521487,523582,525562,527473,529361,531176,533034,534800,536597,538271,539921,541522,543051,544582,545982,547461,548875,550336,551691,553077,554394,555679,556956,558189,559361,560584,561743,562849,563924,565080,566155,567258,568246,569197,570186,571173,572113,573043,573932,
87170,0,1,38,277,1111,2930,6094,10645,16591,23868,32164,41320,50879,60950,71326,82165,93162,104047,114734,125546,136255,146651,156710,166730,176406,185925,195308,204491,213097,221614,229876,237856,245627,253176,260731,267870,274745,281498,287916,294141,300222,306070,311724,317304,322713,327884,332831,337739,342453,347051,351614,355897,360182,364363,368378,372198,375943,379703,383280,386849,390250,393531,396766,399876,402925,405887,408813,411628,414435,417137,419765,422322,424890,427256,429641,431936,434292,436516,438719,440754,442793,444751,446638,448652,450465,452269,454086,455812,457457,459156,460801,462347,463851,465414,466950,468353,469690,471083,472335,473607,474876,476097,477359,478580,479774,480944,482093,483241,484292,485307,486329,487336,488361,489365,490373,491351,492280,493169,494031,
87180,0,1,10,131,559,1657,3680,6694,10857,16033,22315,29328,37035,45264,53768,62662,71861,81067,90459,99727,109007,117952,127091,136106,144827,153276,161634,169813,177714,185493,193185,200521,207632,214634,221472,228039,234390,240631,246544,252403,258163,263649,268921,274237,279271,284109,288792,293495,298096,302541,306782,310996,315235,319235,322988,326715,330430,333915,337414,340755,344041,347169,350346,353320,356313,359049,361801,364520,367208,369736,372267,374852,377314,379551,381858,384031,386225,388428,390562,392629,394595,396552,398458,400292,402082,403824,405548,407209,408941,410567,412093,413604,415124,416637,418102,419537,420885,422210,423526,424833,426154,427345,428549,429769,430946,432101,433213,434237,435346,436397,437458,438456,439454,440481,441417,442378,443278,444181,445061,
87190,0,0,1,45,256,804,1969,3829,6493,10068,14460,19597,25242,31561,38365,45489,52967,60471,68185,75966,83707,91523,99181,106860,114552,121972,129148,136093,143056,150012,156735,163252,169797,176204,182325,188155,194100,199726,205139,210563,215830,220890,225817,230759,235612,240224,244712,249211,253425,257522,261515,265247,269077,272820,276430,279892,283348,286726,289965,293116,296287,299347,302289,305169,307922,310660,313337,315961,318430,320911,323340,325638,327910,330211,332438,334612,336717,338877,340874,342886,344812,346677,348568,350400,352084,353748,355360,357069,358687,360240,361813,363262,364727,366185,367576,368932,370312,371669,372968,374162,375370,376536,377691,378882,380015,381138,382208,383245,384315,385359,386424,387382,388371,389357,390246,391182,392095,392994,393826,
87200,0,0,0,23,106,398,961,1987,3643,5867,8702,12152,16205,20669,25673,30881,36455,42171,48332,54327,60582,67009,73326,79741,86134,92329,98522,104681,110817,116797,122638,128420,134188,139707,145150,150485,155680,160715,165510,170364,175107,179784,184395,188788,193042,197257,201353,205365,209297,212947,216546,220150,223587,227055,230391,233708,236975,240109,243155,246133,249146,252017,254773,257486,260196,262707,265266,267683,270141,272540,274824,277031,279256,281450,283480,285538,287518,289513,291428,293274,295106,296869,298601,300375,302091,303696,305300,306935,308531,310011,311479,312851,314239,315716,317119,318475,319703,320987,322261,323547,324750,325950,327059,328139,329286,330324,331411,332482,333473,334498,335420,336370,337327,338270,339207,340133,341008,341889,342731,
87210,0,0,0,4,32,131,389,896,1757,3008,4750,6901,9514,12582,16063,19735,23857,28074,32589,37233,42083,47033,51886,56851,61920,66865,71956,77207,82218,87061,91998,96992,101815,106549,111208,115735,120206,124619,128898,133213,137373,141424,145411,149359,153147,156952,160563,164236,167651,171059,174305,177483,180638,183649,186654,189692,192560,195343,198126,200851,203560,206149,208759,211262,213831,216152,218445,220732,222985,225183,227456,229539,231494,233468,235353,237279,239182,240967,242758,244625,246331,248066,249725,251296,252893,254521,256103,257655,259195,260622,262037,263425,264728,266029,267313,268588,269794,271036,272193,273406,274521,275645,276717,277790,278833,279867,280899,281919,282915,283841,284760,285709,286591,287493,288387,289290,290139,291039,291829,
87220,0,0,0,0,9,42,140,345,740,1349,2236,3421,4876,6649,8752,11226,13860,16747,19914,23191,26521,30087,33785,37486,41345,45095,48852,52766,56550,60362,64222,68127,71957,75807,79576,83393,87138,90814,94391,97862,101246,104760,108162,111482,114796,117995,121193,124268,127333,130255,133125,135911,138705,141378,143992,146685,149304,151845,154339,156726,159105,161406,163759,165969,168069,170260,172294,174332,176328,178263,180244,182112,183921,185755,187487,189171,190880,192565,194139,195744,197343,198880,200423,202001,203406,204804,206134,207494,208851,210187,211477,212740,213982,215265,216498,217629,218774,219884,221018,222099,223143,224222,225260,226225,227192,228141,229080,229978,230897,231772,232638,233528,234370,235218,236063,236910,237694,238457,239234,
87230,0,0,0,0,0,7,32,110,282,561,997,1589,2373,3461,4688,6151,7804,9634,11634,13927,16198,18604,21193,23810,26640,29530,32468,35501,38491,41485,44465,47428,50443,53392,56393,59334,62281,65307,68318,71201,73965,76715,79484,82212,84910,87551,90187,92799,95323,97786,100240,102734,105141,107533,109846,112100,114325,116533,118693,120832,122915,124880,126858,128817,130789,132712,134578,136372,138162,139873,141532,143249,144883,146544,148151,149760,151348,152813,154288,155712,157211,158528,159964,161324,162618,163905,165183,166460,167695,168844,170033,171125,172212,173266,174321,175407,176480,177502,178555,179562,180582,181540,182501,183427,184303,185205,186108,186918,187775,188540,189385,190158,190944,191731,192486,193220,193966,194700,195453,
87240,0,0,0,0,0,1,8,24,60,142,288,549,875,1339,1962,2720,3571,4565,5703,7035,8429,9956,11531,13242,15040,16880,18885,20933,23021,25083,27179,29307,31467,33689,35857,37994,40146,42338,44541,46717,48890,51151,53319,55448,57559,59748,61880,64031,66128,68128,70140,72105,74131,76069,77921,79755,81657,83422,85172,86904,88636,90315,92029,93684,95338,96978,98590,100162,101657,103110,104546,106004,107432,108813,110143,111476,112796,114138,115425,116665,117867,119079,120310,121483,122625,123775,124830,125897,126987,128106,129150,130161,131117,132068,133064,134043,135000,135989,136841,137750,138626,139505,140372,141255,142072,142892,143691,144481,145206,145984,146735,147482,148185,148933,149639,150325,151014,151703,152308,
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87460,1,146,2157,9952,26977,53656,87388,126217,167999,210591,252815,293763,333422,370775,406383,439698,470896,500129,527343,552894,576760,599503,620384,640167,658589,675801,692058,707192,721539,735036,747836,760006,771362,782206,792569,802469,811658,820312,828659,836718,844279,851433,858387,864925,871314,877330,883182,888648,893941,898943,903825,908376,912764,916911,920929,924843,928670,932404,935839,939172,942477,945640,948676,951450,954264,956900,959430,961964,964433,966831,969054,971241,973351,975429,977352,979342,981165,982962,984727,986410,987946,989499,991054,992580,994091,995455,996836,998167,999401,1000641,1001856,1003001,1004193,1005290,1006412,1007392,1008345,1009336,1010278,1011191,1012051,1012972,1013813,1014628,1015525,1016313,1017078,1017818,1018526,1019255,1019926,1020686,1021377,1022023,1022656,1023291,1023857,1024474,1025012,
87470,0,37,686,4079,12854,28213,49916,76418,106079,137818,170580,203447,236034,267363,297512,326532,353921,380026,404894,428632,450586,471515,491091,509431,526869,543350,558878,573646,587398,600628,612962,624883,636483,647299,657459,666899,676307,684974,693393,701261,708764,716021,722863,729490,735830,741897,747694,753248,758512,763578,768501,773262,777792,782148,786373,790415,794261,797913,801471,804952,808243,811469,814625,817543,820354,823074,825740,828306,830881,833233,835612,837814,840012,842167,844110,846162,848150,850042,851770,853519,855216,856843,858376,859895,861392,862954,864382,865752,867048,868305,869544,870710,871954,873153,874257,875403,876421,877446,878486,879422,880411,881320,882271,883094,883927,884718,885552,886362,887170,887935,888660,889310,889987,890709,891389,892031,892673,893300,893920,
87480,0,6,179,1395,5147,13012,25078,41538,61091,83043,106662,131034,155644,180496,204794,228468,251509,273862,294977,315326,334578,353283,370821,387396,403214,418380,432861,446211,459002,471461,483275,494509,505250,515564,525273,534572,543172,551796,559862,567697,574985,582177,588813,595255,601506,607245,613024,618504,623762,628825,633601,638235,642737,647102,651279,655333,659210,662988,666584,670061,673260,676562,679709,682734,685695,688546,691192,693778,696264,698691,701038,703322,705547,707707,709697,711741,713737,715593,717427,719255,721049,722754,724316,725903,727452,728965,730438,731807,733188,734510,735805,737091,738327,739539,740749,741953,743016,744060,745147,746184,747123,748094,749008,749927,750771,751670,752500,753290,754135,754921,755682,756436,757177,757889,758603,759236,759852,760468,761082,
87490,0,0,40,358,1701,4884,10734,19368,30478,44004,59095,75429,92982,110794,128784,146802,164679,182074,198952,215374,231597,247083,261978,276204,289916,303022,315695,327859,339379,350454,360940,371072,380805,390246,399294,407722,415770,423719,431108,438256,445241,451939,458371,464514,470399,475912,481279,486589,491545,496431,501067,505543,509821,514029,518038,521955,525616,529190,532649,536132,539354,542552,545592,548534,551349,554031,556712,559430,561780,564209,566550,568841,570951,573021,575096,577032,579074,580973,582742,584504,586256,587904,589470,590998,592550,594036,595465,596850,598250,599593,600914,602174,603387,604614,605753,606873,607944,609010,610040,611036,612016,612959,613912,614802,615686,616550,617387,618184,619059,619862,620600,621398,622164,622854,623547,624227,624883,625530,626113,
87500,0,0,15,149,798,2671,6286,12109,19840,29559,41079,53917,67421,81812,96786,111708,126867,141854,156588,171129,185337,199012,211920,224694,237050,249158,260506,271584,282089,292328,302167,311710,321008,329704,338045,346212,354003,361576,368655,375546,381994,388353,394255,400228,405754,411199,416288,421116,425880,430569,435062,439433,443688,447743,451613,455359,459000,462415,465897,469124,472332,475399,478345,481129,483918,486515,489117,491588,494021,496470,498761,500985,503052,505094,507065,509118,510962,512817,514689,516423,518153,519809,521402,522981,524538,526075,527492,528852,530224,531554,532817,534106,535364,536581,537744,538895,539929,541011,541928,542854,543791,544735,545660,546623,547504,548361,549221,550027,550846,551609,552358,553115,553823,554548,555262,555955,556605,557259,557856,
87510,0,0,3,60,338,1315,3426,6844,11976,18790,26910,36242,46580,57632,69182,81306,93540,106060,118427,130436,142663,154738,166298,177694,188668,199275,209393,219363,228896,238169,247011,255694,263967,271918,279614,287143,294261,301211,307775,314171,320352,326286,331955,337522,342822,347896,352832,357637,362137,366633,370952,375062,378999,382931,386759,390414,393874,397243,400477,403765,406725,409691,412604,415472,418120,420760,423262,425696,428113,430437,432600,434822,436952,439027,440977,442937,444852,446694,448456,450094,451753,453372,454929,456442,457900,459392,460789,462161,463469,464745,466028,467293,468540,469714,470901,472005,473138,474227,475216,476184,477133,478108,479042,479898,480765,481572,482373,483176,483972,484687,485453,486163,486882,487607,488309,488974,489653,490299,490932,
87520,0,0,2,24,134,581,1660,3609,6711,11060,16763,23232,30753,38975,47840,57283,66955,76751,86691,96672,106520,116406,126247,135868,145192,154398,163191,171782,180234,188513,196303,203838,211346,218541,225522,232320,238919,245216,251174,256982,262666,268251,273603,278676,283677,288305,292895,297234,301479,305650,309661,313477,317311,321033,324569,328017,331399,334584,337677,340638,343554,346420,349205,351938,354544,357081,359522,361876,364224,366433,368565,370655,372605,374512,376462,378253,380037,381804,383543,385201,386771,388284,389809,391296,392742,394104,395510,396871,398175,399433,400585,401733,402925,404024,405114,406160,407206,408197,409230,410218,411135,412063,412980,413862,414715,415521,416282,417058,417830,418625,419420,420151,420872,421552,422233,422880,423530,424150,424730,
87530,0,0,0,7,57,245,698,1675,3476,6060,9450,13597,18609,24153,30420,37098,44174,51597,59265,67089,75014,82926,90689,98617,106311,113815,121226,128558,135779,142750,149602,156305,162709,168863,174894,180838,186516,191960,197343,202660,207587,212459,217130,221727,226097,230471,234663,238710,242691,246603,250390,254092,257605,261017,264267,267402,270481,273485,276362,279188,281839,284448,287043,289492,291863,294093,296374,298568,300727,302794,304885,306921,308804,310651,312379,314198,315910,317646,319280,320936,322505,324034,325469,326844,328290,329582,330901,332126,333330,334495,335732,336844,337967,339098,340203,341247,342271,343323,344308,345206,346140,347006,347822,348674,349498,350296,351091,351887,352640,353353,354043,354757,355428,356064,356726,357317,357877,358511,359096,
87540,0,0,0,4,24,135,390,1083,2182,3880,6136,9086,12806,17271,22103,27338,32920,38988,45315,51777,58285,65057,71653,78372,85040,91706,98103,104512,110856,117112,123119,129111,134824,140465,145993,151300,156433,161543,166473,171240,175911,180371,184671,188894,192951,197023,200948,204586,208125,211710,215116,218554,221906,225064,228189,231185,233999,236783,239571,242268,244801,247369,249849,252256,254483,256758,258902,260924,262953,264944,266919,268815,270659,272372,274031,275724,277303,278947,280542,282097,283572,285037,286426,287792,289086,290424,291638,292859,294029,295241,296316,297412,298533,299595,300683,301709,302698,303617,304557,305483,306379,307267,308094,308949,309736,310528,311288,312063,312772,313500,314215,314877,315578,316259,316895,317497,318095,318697,319243,
87550,0,0,0,0,5,55,216,546,1198,2304,3883,5935,8621,11724,15320,19318,23736,28526,33505,38633,43862,49349,55003,60517,66174,71739,77259,82780,88283,93606,98888,104079,109264,114303,119289,124149,128859,133338,137809,142094,146291,150349,154352,158320,162118,165830,169540,173004,176318,179575,182749,185790,188858,191815,194590,197361,200071,202763,205337,207847,210235,212549,214818,217000,219146,221326,223395,225364,227275,229134,230998,232716,234442,236135,237773,239422,241026,242534,243982,245435,246871,248240,249587,250831,252045,253307,254488,255714,256888,257987,259057,260154,261243,262253,263234,264191,265084,265956,266843,267688,268531,269363,270173,270985,271797,272560,273240,273965,274647,275289,275971,276625,277266,277914,278514,279102,279671,280253,280832,
87560,0,0,0,0,4,10,93,267,634,1255,2198,3511,5224,7348,9880,12814,16092,19594,23373,27307,31560,35882,40237,44748,49268,53870,58439,63130,67691,72341,76889,81377,85805,90169,94325,98471,102532,106554,110473,114317,118098,121783,125376,128851,132267,135551,138758,141828,144962,147946,150808,153843,156605,159333,162018,164522,167015,169381,171735,174030,176253,178347,180414,182437,184469,186374,188258,190164,191967,193735,195449,197051,198679,200214,201765,203190,204666,206108,207509,208857,210228,211530,212838,214063,215283,216450,217598,218773,219864,220896,221952,223007,223998,224985,225952,226845,227748,228617,229453,230283,231124,231917,232656,233471,234162,234858,235529,236192,236852,237499,238189,238814,239408,239945,240549,241103,241598,242132,242684,
87570,0,0,0,0,2,9,31,111,276,593,1145,1915,2928,4228,5976,7953,10167,12675,15323,18209,21289,24619,28022,31364,34871,38515,42239,45822,49476,53051,56693,60375,64002,67545,71127,74711,78092,81561,84859,88138,91369,94559,97583,100659,103652,106543,109397,112259,114897,117501,120069,122585,125012,127428,129723,132066,134282,136463,138578,140614,142653,144585,146486,148387,150176,152022,153720,155317,157047,158656,160198,161707,163225,164719,166040,167470,168817,170096,171426,172662,173823,175040,176197,177322,178419,179487,180514,181555,182532,183453,184470,185415,186405,187281,188168,189053,189845,190658,191393,192167,192940,193716,194442,195104,195839,196524,197202,197867,198470,199119,199753,200344,200879,201426,201996,202573,203091,203603,204113,
87580,0,0,0,0,0,2,16,44,112,258,514,920,1495,2271,3256,4441,5823,7448,9275,11296,13380,15633,18035,20564,23206,25921,28553,31393,34209,37140,40004,42835,45650,48487,51343,54123,56942,59618,62391,65114,67744,70337,72915,75481,77981,80388,82856,85203,87559,89771,91968,94129,96144,98260,100225,102181,104058,105944,107768,109546,111334,113019,114677,116300,117876,119507,121005,122424,123935,125426,126764,128155,129482,130772,132153,133409,134645,135792,136944,138080,139197,140257,141309,142395,143441,144459,145444,146423,147368,148256,149100,149914,150752,151573,152350,153137,153890,154729,155439,156118,156822,157474,158150,158812,159461,160084,160711,161265,161838,162429,163018,163640,164182,164720,165223,165739,166224,166717,167239,
87590,0,0,0,0,0,0,2,15,47,94,206,385,671,1126,1643,2318,3161,4136,5285,6597,7982,9517,11177,12858,14607,16562,18632,20698,22799,24945,27046,29252,31457,33763,36044,38312,40567,42824,45014,47119,49322,51486,53541,55585,57611,59622,61609,63535,65507,67411,69306,71180,72987,74771,76457,78142,79797,81511,83126,84665,86173,87579,89064,90493,91938,93301,94718,95982,97252,98465,99668,100890,102045,103195,104304,105463,106525,107641,108740,109779,110786,111819,112709,113611,114545,115467,116387,117191,118001,118794,119612,120410,121170,121940,122662,123429,124157,124870,125543,126176,126820,127406,128028,128620,129209,129783,130333,130886,131410,131918,132407,132960,133435,133877,134357,134821,135280,135714,136145,
87600,0,0,0,0,0,0,0,3,12,36,76,142,266,442,695,1027,1496,2018,2662,3413,4204,5153,6192,7307,8468,9742,11067,12451,13875,15362,16867,18456,20046,21707,23337,24986,26696,28346,30057,31724,33324,34852,36490,38027,39624,41211,42738,44244,45749,47218,48670,50135,51568,53056,54520,55903,57233,58591,59921,61235,62543,63759,64989,66240,67386,68593,69738,70791,71845,72890,73966,75006,76074,77080,78025,79015,79882,80760,81614,82550,83442,84247,85055,85841,86607,87391,88152,88875,89653,90367,91068,91742,92416,93066,93684,94315,94929,95555,96106,96687,97253,97805,98337,98899,99459,99954,100458,100967,101415,101877,102302,102766,103212,103645,104094,104491,104885,105317,105720,
87610,0,0,0,0,0,0,0,0,1,4,16,43,86,149,243,382,567,830,1128,1494,1921,2414,2936,3520,4187,4897,5633,6460,7253,8177,9140,10102,11134,12164,13259,14375,15429,16542,17629,18696,19837,20975,22067,23174,24359,25489,26607,27793,28928,30009,31036,32123,33135,34201,35241,36331,37365,38334,39311,40307,41305,42280,43257,44155,45108,46038,46927,47776,48659,49520,50310,51118,51946,52722,53450,54222,54982,55725,56479,57145,57826,58463,59146,59735,60411,61036,61642,62223,62812,63395,64023,64616,65162,65705,66229,66744,67237,67747,68228,68678,69168,69646,70121,70523,70990,71398,71840,72266,72629,73013,73416,73811,74201,74578,74937,75238,75583,75946,76294,
87620,0,0,0,0,0,0,0,0,0,1,2,4,15,20,49,82,141,212,300,410,536,694,889,1128,1386,1684,1982,2333,2709,3179,3631,4091,4591,5107,5671,6214,6816,7405,8026,8663,9241,9892,10547,11223,11861,12535,13207,13918,14619,15286,15944,16632,17330,18016,18719,19370,20038,20670,21302,22002,22651,23313,23975,24600,25167,25809,26437,27056,27614,28240,28803,29378,29920,30488,31021,31590,32152,32658,33175,33714,34234,34731,35163,35644,36093,36592,37019,37455,37876,38291,38723,39156,39592,39980,40385,40765,41155,41549,41927,42286,42612,42931,43266,43583,43905,44222,44542,44853,45176,45499,45822,46119,46412,46664,46950,47218,47470,47756,48027,
87630,204,5976,29977,76053,137329,206219,276647,344749,409799,469712,524700,575127,621120,662894,701019,736031,767949,797428,824275,849231,872122,893271,912910,931193,948555,964484,979168,992890,1005939,1017858,1029204,1039865,1050031,1059598,1068622,1077115,1085190,1092871,1099977,1106753,1113246,1119500,1125469,1131110,1136532,1141581,1146433,1151047,1155503,1159716,1163818,1167800,1171523,1175113,1178633,1181849,1185109,1188127,1191026,1193789,1196489,1199103,1201678,1204105,1206438,1208632,1210827,1212972,1215046,1217020,1218911,1220675,1222406,1224124,1225836,1227369,1228887,1230442,1231943,1233323,1234708,1235999,1237272,1238533,1239736,1240910,1242015,1243051,1244159,1245179,1246184,1247137,1248122,1248993,1249855,1250700,1251567,1252449,1253279,1254072,1254872,1255635,1256383,1257059,1257751,1258403,1259081,1259721,1260300,1260867,1261454,1262046,1262587,1263141,1263635,1264168,1264687,1265186,1265659,
87640,7,971,7659,25059,54213,91468,134496,179511,224886,269832,312925,353662,391971,427649,461287,492204,521299,548590,573774,597246,619252,639727,659094,677198,694059,709890,724575,738554,751685,764220,776025,786950,797303,807247,816579,825511,833944,842057,849606,856927,863866,870386,876632,882635,888359,893851,899251,904186,909041,913590,917978,922144,926192,930008,933767,937428,940828,944053,947323,950457,953422,956311,959118,961835,964412,966775,969169,971472,973709,975874,977979,980008,981927,983797,985618,987433,989158,990837,992457,993991,995462,996922,998326,999731,1001086,1002420,1003708,1004928,1006109,1007329,1008471,1009584,1010604,1011679,1012670,1013607,1014568,1015489,1016383,1017251,1018131,1018942,1019771,1020488,1021285,1022033,1022683,1023349,1024040,1024705,1025339,1025926,1026506,1027103,1027723,1028227,1028768,1029340,1029915,
87650,2,272,3052,11950,28731,53384,83415,116895,152119,187988,223153,257480,290251,321730,351614,379869,406194,431085,454673,476607,497233,516528,534784,552041,568330,583412,597618,611046,623733,635849,647372,658405,668673,678478,687719,696659,705155,713169,720814,728053,735049,741751,748162,754241,760022,765556,770736,775917,780898,785591,790075,794334,798605,802560,806333,809912,813417,816759,820013,823180,826323,829293,832144,834953,837615,840272,842821,845117,847470,849753,851857,853938,855959,857915,859807,861581,863386,865125,866819,868467,869995,871481,872951,874375,875753,877070,878363,879599,880870,882036,883206,884374,885490,886602,887640,888665,889640,890628,891576,892519,893445,894230,895086,895912,896659,897421,898189,898916,899626,900344,900991,901665,902314,902972,903596,904234,904827,905438,905978,
87660,0,73,951,4788,13380,27246,46090,68774,93557,119999,146725,173790,200287,225958,250994,274806,297767,319613,340278,359824,378207,395880,412805,428749,443734,457989,471162,484018,496098,507692,518572,528921,538810,548304,557399,565891,574065,581924,589309,596415,603218,609914,616182,622220,628017,633530,638921,643939,648742,653333,657847,662255,666518,670509,674404,678136,681720,685185,688484,691591,694737,697811,700710,703563,706232,708910,711499,713939,716267,718594,720853,723018,725051,727040,728963,730926,732777,734586,736276,737923,739532,741093,742640,744142,745585,747047,748447,749728,750962,752208,753423,754569,755725,756818,757896,758999,760025,761091,762124,763072,763961,764896,765718,766584,767366,768156,768902,769658,770416,771117,771871,772524,773237,773916,774568,775207,775829,776454,777044,
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87680,0,4,118,773,2912,7237,14109,23555,35212,48777,63542,79059,95345,111698,128223,144635,160749,176597,191811,206706,221031,234885,248041,260818,273035,284562,295805,306661,316917,326681,336121,345167,353915,362249,370390,377879,385315,392300,399146,405561,411783,417786,423506,429018,434384,439507,444490,449183,453761,458156,462533,466613,470537,474264,477941,481461,484899,488222,491406,494519,497423,500286,503148,505853,508512,511050,513556,515984,518269,520553,522764,524945,527035,529025,531025,532904,534657,536422,538151,539775,541442,543069,544627,546127,547606,549008,550368,551735,553007,554248,555414,556599,557760,558902,560027,561070,562105,563139,564112,565077,566033,566942,567782,568666,569529,570354,571130,571881,572683,573428,574176,574905,575572,576277,576930,577534,578148,578742,579319,
87690,0,2,38,339,1456,3981,8307,14605,22716,32740,44000,56179,68866,82078,95658,109132,122701,136015,149283,162175,174752,186946,198799,210290,221359,232088,242361,252132,261593,270667,279326,287709,295932,303822,311373,318360,325168,331820,338136,344116,350147,355810,361254,366479,371652,376549,381356,385744,390052,394306,398418,402351,406214,409921,413573,416930,420188,423314,426564,429695,432618,435384,438108,440745,443341,445785,448161,450561,452732,454908,456982,459061,461068,463068,464926,466632,468393,470106,471867,473470,475005,476592,478092,479505,480941,482400,483745,485060,486288,487552,488781,490029,491182,492317,493397,494474,495511,496472,497455,498402,499306,500225,501151,502009,502873,503709,504548,505314,506057,506790,507538,508252,508901,509559,510205,510804,511434,512047,512620,
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87780,0,0,0,0,0,0,5,13,38,91,180,347,594,920,1421,1982,2650,3449,4342,5325,6468,7769,9060,10438,11935,13487,15137,16865,18550,20320,22105,23920,25829,27718,29499,31375,33250,35085,36963,38709,40494,42233,44002,45692,47376,49057,50747,52440,54099,55677,57255,58788,60206,61757,63223,64646,66008,67434,68819,70145,71487,72804,74031,75222,76432,77644,78774,79922,81025,82097,83158,84167,85151,86128,87099,88086,89015,89929,90784,91673,92521,93407,94250,95104,95877,96650,97413,98179,98938,99600,100294,100986,101602,102237,102914,103539,104196,104791,105391,106024,106572,107130,107674,108213,108724,109243,109726,110211,110708,111159,111641,112083,112514,112946,113370,113788,114178,114595,114989,
87790,0,0,0,0,0,0,0,3,9,26,55,109,185,313,492,715,999,1393,1871,2406,3005,3627,4349,5157,6003,6949,7889,8907,9938,11009,12062,13302,14516,15757,17002,18232,19498,20745,21978,23229,24476,25698,26941,28179,29372,30541,31715,32924,34078,35248,36403,37575,38719,39809,40946,42089,43184,44230,45279,46310,47311,48278,49229,50263,51240,52204,53119,54082,54919,55744,56600,57437,58244,59007,59782,60565,61281,62050,62787,63495,64172,64852,65526,66203,66900,67517,68180,68812,69402,70025,70593,71141,71735,72318,72857,73409,73937,74436,74945,75413,75879,76360,76830,77301,77748,78187,78603,79047,79435,79843,80227,80615,80989,81351,81695,82040,82390,82719,83067,
87800,0,0,0,0,0,0,0,1,1,2,5,18,32,55,94,158,249,371,516,690,902,1162,1472,1808,2132,2533,2981,3408,3896,4419,4948,5509,6074,6690,7345,7986,8701,9426,10133,10869,11591,12312,13076,13819,14580,15349,16088,16878,17572,18311,19030,19759,20483,21210,21937,22654,23343,24072,24772,25474,26175,26844,27475,28111,28816,29453,30048,30701,31303,31890,32470,33047,33633,34213,34763,35261,35777,36347,36887,37400,37916,38427,38877,39392,39896,40399,40869,41349,41811,42289,42714,43124,43496,43919,44330,44735,45139,45503,45876,46231,46592,46934,47289,47614,47944,48311,48625,48914,49197,49490,49780,50069,50384,50703,51013,51305,51599,51873,52128,
87810,891,14279,53794,114742,186296,260489,332579,400249,462730,519622,571252,618433,661085,699698,734834,766789,796096,823259,848067,870609,891584,910795,928984,945803,961336,975824,989455,1002231,1014045,1025105,1035649,1045713,1054974,1063854,1072092,1080032,1087404,1094419,1101124,1107491,1113627,1119331,1124848,1130054,1135052,1139830,1144393,1148656,1152764,1156726,1160365,1163996,1167349,1170767,1173953,1177047,1179972,1182829,1185545,1188221,1190703,1193174,1195590,1197859,1200024,1202046,1204117,1206135,1207966,1209866,1211620,1213302,1215027,1216646,1218189,1219667,1221166,1222520,1223910,1225207,1226459,1227698,1228955,1230107,1231263,1232366,1233410,1234452,1235433,1236410,1237393,1238258,1239160,1240065,1240885,1241724,1242485,1243233,1244032,1244752,1245426,1246125,1246813,1247498,1248106,1248752,1249361,1249994,1250567,1251122,1251661,1252235,1252733,1253227,1253715,1254154,1254604,1255010,1255472,
87820,96,2938,16292,43779,82642,128115,176914,226083,273857,319085,361624,401388,438399,472691,504639,534096,561518,587030,610356,632147,652814,672040,689886,706525,722039,736744,750500,763499,775520,787111,797875,808083,817790,826906,835547,843725,851519,859049,866279,873019,879451,885568,891406,897134,902591,907803,912647,917349,921893,926023,930216,934207,938026,941713,945238,948567,951801,954918,957854,960729,963509,966173,968806,971370,973824,976244,978455,980665,982794,984876,986803,988758,990660,992461,994270,995962,997553,999086,1000497,1001921,1003265,1004655,1006001,1007329,1008573,1009847,1011031,1012166,1013270,1014387,1015462,1016446,1017430,1018374,1019350,1020254,1021129,1021994,1022792,1023609,1024407,1025237,1025990,1026765,1027482,1028193,1028863,1029504,1030153,1030796,1031413,1032060,1032651,1033202,1033713,1034292,1034841,1035379,1035927,
87830,22,1064,7599,23240,48370,80389,116546,154611,192807,230184,266543,301040,333958,364913,394135,421250,446865,470720,492903,513855,533430,551775,568913,584926,600113,614398,627748,640334,652197,663498,674170,684315,694102,703354,711994,720365,728183,735787,743017,749839,756207,762348,768400,774089,779471,784761,789798,794667,799308,803743,808060,812111,816055,819914,823586,826983,830248,833412,836559,839505,842328,845007,847755,850318,852755,855010,857343,859533,861672,863727,865772,867802,869787,871589,873410,875120,876800,878408,879872,881373,882844,884316,885709,887029,888358,889650,890868,892125,893328,894426,895484,896566,897600,898615,899605,900535,901485,902430,903322,904178,905010,905845,906675,907489,908226,908954,909652,910348,911005,911675,912315,912978,913619,914216,914828,915411,915987,916515,917096,
87840,7,313,2879,10704,24849,44562,69076,96305,125067,154698,183682,212116,239353,266028,290994,314783,337308,358520,378634,397638,415674,432664,448511,463498,477991,491506,504474,516666,528215,539159,549461,559206,568557,577507,586082,594236,601977,609422,616384,623239,629642,635803,641724,647299,652587,657862,662971,667756,672386,676824,681058,685111,689011,692822,696509,700133,703502,706663,709889,712896,715881,718658,721394,724064,726541,728979,731369,733670,735896,738039,740067,742098,744092,746030,747841,749637,751368,753089,754715,756236,757727,759198,760575,761937,763356,764719,766021,767217,768413,769587,770727,771863,772966,774040,774990,775985,776979,777920,778897,779731,780627,781463,782266,783131,783989,784773,785574,786307,787001,787684,788357,789016,789658,790279,790894,791501,792073,792614,793220,
87850,1,59,835,3830,10393,21069,35434,52624,71967,92791,114272,135723,157222,178233,198432,218068,237128,255212,272778,289337,305069,320068,334361,348087,361009,373498,385171,396382,407148,417244,426998,436369,445268,453800,461810,469634,476937,484162,490788,497305,503521,509434,515054,520417,525545,530499,535370,540039,544474,548698,552880,557016,560952,564639,568196,571505,574783,578045,581249,584252,587138,589999,592717,595394,597900,600334,602673,605035,607281,609489,611597,613623,615547,617467,619245,621047,622792,624496,626114,627667,629269,630785,632263,633733,635060,636335,637630,638857,640101,641305,642473,643561,644672,645745,646758,647797,648782,649715,650606,651515,652447,653334,654181,654968,655775,656555,657386,658111,658852,659538,660206,660838,661446,662075,662646,663260,663847,664426,664926,
87860,0,24,390,2085,6158,13306,23813,36833,51868,68269,85732,103570,121596,139313,156906,174289,191084,207238,222824,237984,252309,266068,279215,291864,304047,315612,326653,337096,347214,356699,366006,374672,383145,391283,399088,406475,413530,420254,426688,433027,439094,444854,450318,455626,460623,465575,470372,474981,479397,483605,487739,491780,495518,499135,502653,505991,509335,512452,515574,518529,521336,524081,526668,529268,531796,534254,536629,538885,541091,543261,545345,547330,549292,551165,553044,554934,556609,558199,559904,561444,562920,564461,565896,567258,568588,569952,571239,572496,573749,574935,576039,577215,578323,579378,580426,581461,582445,583365,584268,585219,586089,586958,587763,588620,589369,590170,590947,591738,592518,593212,593900,594559,595173,595810,596388,597020,597599,598186,598795,
87870,0,11,149,985,3344,7801,14730,23821,34976,47657,61037,75172,90115,105001,119825,134457,148852,162955,176714,190076,202846,215142,227130,238441,249608,260172,270337,280125,289471,298394,307012,315273,323179,330823,338176,345010,351912,358376,364457,370336,376119,381690,386976,392111,397010,401640,406140,410606,414825,418938,422946,426774,430422,434007,437424,440716,443962,447083,449965,452801,455500,458247,460880,463458,465861,468229,470491,472639,474755,476886,478964,480974,482853,484762,486567,488397,490080,491759,493377,494968,496572,498024,499433,500856,502170,503443,504712,505965,507227,508402,509566,510658,511709,512807,513780,514790,515727,516687,517547,518409,519317,520164,521006,521846,522656,523429,524201,524939,525670,526373,527074,527775,528403,529045,529710,530288,530848,531396,531980,
87880,0,2,53,386,1595,4195,8464,14260,21734,30709,40646,51428,62851,74280,86258,98529,110502,122454,134201,145602,156601,167344,177855,187942,197690,207232,216419,225286,233809,241926,249751,257292,264620,271462,278150,284506,290730,296744,302544,308059,313609,318766,323807,328649,333169,337673,341906,346005,349917,353754,357654,361403,364939,368338,371566,374680,377623,380646,383534,386350,389099,391735,394261,396748,399110,401442,403663,405887,408094,410070,412067,413990,415788,417580,419344,421042,422700,424277,425860,427403,428937,430346,431767,433192,434486,435759,437018,438264,439444,440654,441804,442942,444001,445065,446099,447146,448152,449047,449927,450769,451641,452494,453353,454155,454961,455760,456494,457222,457957,458649,459344,460030,460723,461416,462038,462637,463242,463789,464310,
87890,0,0,14,124,637,1853,4057,7532,12320,18182,25090,32690,41054,49830,58938,68189,77588,86932,96552,105871,115156,123974,132839,141487,149784,158160,166210,173978,181471,188643,195523,202393,208909,215327,221536,227453,233163,238748,243938,249059,253962,258716,263295,267784,272190,276220,280254,284079,287915,291526,294899,298321,301661,304778,307804,310737,313710,316471,319173,321767,324324,326792,329182,331632,333858,336074,338171,340205,342336,344231,346108,347961,349790,351511,353253,354864,356455,357984,359473,360923,362321,363705,365153,366512,367810,369060,370217,371446,372589,373719,374778,375844,376919,377940,378946,379882,380802,381767,382650,383526,384323,385171,385995,386737,387494,388248,389031,389714,390364,391035,391720,392364,392991,393600,394170,394765,395345,395939,396490,
87900,0,0,1,75,352,1081,2555,4972,8343,12684,17892,23979,30476,37640,45026,52732,60619,68557,76886,84960,92961,100908,108743,116355,124047,131462,138648,145709,152374,158937,165309,171515,177595,183280,188815,194302,199497,204668,209594,214307,218888,223255,227638,231860,235961,239896,243671,247328,250866,254326,257668,260854,263924,266936,269824,272758,275566,278276,280867,283423,285807,288171,290490,292721,294867,296971,299022,301018,302907,304809,306604,308335,310110,311740,313420,315052,316657,318116,319620,321101,322437,323790,325115,326342,327561,328766,329940,331063,332163,333245,334351,335391,336469,337496,338477,339435,340380,341239,342104,342924,343781,344533,345333,346102,346829,347560,348208,348943,349607,350280,350941,351535,352149,352682,353284,353863,354426,354974,355537,
87910,0,0,0,34,159,606,1444,2964,5134,8062,11798,16250,21270,26787,32711,38964,45423,52023,58570,65388,72267,78862,85511,92166,98659,105136,111500,117621,123602,129513,135268,140769,146215,151596,156600,161546,166292,170988,175465,179841,184093,188238,192212,196035,199813,203491,207030,210516,213943,217086,220189,223221,226181,228995,231757,234448,237014,239566,242026,244458,246780,249073,251278,253459,255560,257597,259524,261467,263304,265113,266855,268534,270202,271931,273536,275048,276520,277983,279486,280827,282107,283374,284619,285889,287132,288356,289488,290573,291667,292705,293672,294731,295749,296677,297621,298504,299399,300255,301087,301927,302721,303548,304294,305023,305748,306429,307153,307802,308479,309123,309746,310353,311001,311612,312203,312736,313280,313825,314328,
87920,0,0,1,15,80,272,753,1658,3036,5074,7604,10620,14196,18211,22641,27437,32399,37552,42998,48399,53848,59456,65188,70691,76322,81758,87129,92649,97864,102867,107798,112804,117733,122343,126793,131298,135537,139777,143801,147764,151696,155394,159008,162654,166104,169459,172809,175978,178967,181930,184844,187625,190329,193008,195608,198208,200614,202953,205280,207543,209781,211872,213880,215828,217782,219689,221480,223279,225012,226749,228393,230029,231562,233156,234636,236069,237535,238886,240242,241522,242776,243989,245196,246390,247554,248713,249791,250825,251850,252906,253893,254840,255805,256726,257638,258502,259318,260093,260886,261700,262438,263251,263958,264715,265358,266040,266674,267345,268036,268672,269264,269854,270445,271017,271597,272137,272687,273186,273619,
87930,0,0,0,1,15,102,341,785,1505,2646,4269,6290,8708,11500,14662,18146,21779,25672,29868,34052,38295,42826,47336,51933,56367,60852,65256,69702,74173,78467,82736,86785,90925,94838,98683,102489,106199,109833,113414,116917,120286,123716,126992,130156,133178,136138,139073,141830,144572,147275,149891,152447,154891,157281,159635,161944,164081,166160,168285,170366,172269,174257,176134,178023,179763,181438,183140,184796,186398,188028,189560,191043,192451,193873,195232,196578,197891,199147,200384,201579,202767,203924,205043,206155,207218,208313,209340,210315,211268,212201,213162,214095,214962,215773,216670,217523,218314,219094,219888,220652,221377,222065,222747,223393,224019,224681,225276,225926,226558,227183,227797,228389,228945,229490,230033,230537,231036,231498,231978,
87940,0,0,0,0,5,33,124,314,669,1226,2096,3238,4669,6402,8447,10714,13176,15813,18689,21727,24957,28194,31615,34941,38304,41739,45263,48629,52057,55599,59000,62389,65732,68976,72317,75518,78689,81691,84707,87614,90499,93290,96045,98711,101324,103845,106378,108860,111329,113659,115953,118257,120470,122624,124670,126678,128573,130471,132344,134155,135919,137677,139386,141075,142696,144219,145778,147208,148678,150083,151506,152911,154218,155472,156702,157868,159074,160290,161435,162622,163708,164743,165788,166806,167797,168772,169741,170691,171627,172514,173385,174208,175031,175788,176598,177331,178086,178836,179531,180268,180962,181631,182241,182861,183498,184109,184732,185277,185864,186406,186959,187474,187992,188477,188962,189510,190010,190493,190924,
87950,0,0,0,0,1,9,41,121,304,587,1045,1694,2518,3577,4860,6332,8018,9878,11802,13936,16192,18472,20864,23328,25948,28604,31179,33913,36674,39331,42076,44843,47552,50275,52931,55532,58192,60661,63109,65533,67973,70304,72645,74912,77205,79345,81481,83543,85609,87639,89606,91588,93477,95341,97213,98980,100613,102349,103984,105566,107104,108646,110167,111608,113026,114423,115778,117097,118382,119743,120970,122183,123408,124630,125665,126778,127841,128826,129914,130907,131929,132931,133904,134846,135811,136665,137561,138436,139254,140103,140906,141614,142355,143147,143864,144581,145283,145944,146595,147224,147845,148457,149075,149655,150230,150838,151377,151941,152466,152970,153465,153967,154441,154912,155341,155791,156276,156755,157214,
87960,0,0,0,0,0,1,8,35,106,197,393,685,1106,1611,2275,3109,4103,5152,6375,7738,9173,10719,12316,13920,15728,17588,19456,21345,23306,25346,27389,29349,31385,33367,35333,37270,39198,41130,43087,45055,46949,48858,50639,52497,54283,56080,57848,59571,61254,62951,64591,66226,67762,69277,70741,72179,73609,74978,76432,77780,79071,80395,81738,82968,84176,85364,86540,87700,88803,89907,91006,92055,93160,94129,95108,96065,97043,97951,98841,99755,100609,101464,102293,103080,103874,104695,105435,106164,106935,107705,108416,109161,109812,110446,111065,111732,112309,112914,113501,114052,114633,115182,115705,116232,116740,117286,117801,118318,118804,119251,119721,120157,120559,120984,121417,121796,122206,122598,123003,
87970,0,0,0,0,0,0,0,6,17,52,102,211,349,576,863,1232,1641,2145,2794,3461,4204,5075,5990,7015,8008,9113,10291,11511,12738,13934,15230,16556,17904,19283,20605,21902,23245,24606,25964,27367,28720,30065,31487,32860,34172,35451,36780,38064,39316,40610,41886,43092,44305,45472,46614,47787,48884,50031,51114,52154,53214,54239,55265,56254,57264,58240,59122,59992,60914,61778,62669,63498,64392,65210,66039,66829,67662,68418,69130,69833,70547,71220,71901,72545,73212,73892,74545,75181,75791,76390,76952,77546,78099,78646,79193,79756,80311,80841,81328,81807,82302,82763,83191,83670,84134,84599,85042,85497,85926,86352,86750,87124,87500,87879,88247,88604,88935,89325,89672,
87980,0,0,0,0,0,0,0,0,1,4,16,38,79,119,208,320,449,612,818,1088,1386,1730,2084,2514,2991,3517,4015,4636,5214,5843,6516,7180,7904,8619,9386,10177,10940,11736,12520,13319,14119,14899,15724,16560,17393,18211,19084,19891,20705,21472,22268,23052,23820,24541,25289,26065,26841,27608,28324,29050,29807,30552,31264,31947,32660,33331,34012,34672,35345,35969,36583,37223,37834,38425,38991,39573,40175,40740,41287,41838,42351,42889,43375,43907,44379,44875,45333,45796,46258,46724,47190,47639,48065,48510,48950,49372,49763,50154,50547,50911,51286,51626,51967,52316,52662,53002,53321,53642,53955,54270,54603,54911,55197,55517,55790,56053,56326,56618,56865,
87992,2440,25780,78872,150361,228840,306201,378452,444957,505273,559724,608913,653218,693029,729236,761953,791818,818891,843919,867116,887958,907258,925135,942046,957576,972101,985479,998003,1009908,1020903,1031365,1041152,1050461,1059377,1067627,1075376,1082713,1089683,1096240,1102489,1108457,1114076,1119487,1124694,1129599,1134316,1138829,1143002,1147080,1150858,1154679,1158211,1161700,1165040,1168165,1171228,1174108,1176873,1179595,1182213,1184765,1187060,1189393,1191619,1193805,1195916,1197988,1199901,1201849,1203629,1205393,1207084,1208707,1210303,1211779,1213288,1214726,1216048,1217353,1218639,1219911,1221131,1222349,1223495,1224631,1225728,1226782,1227812,1228766,1229723,1230647,1231460,1232338,1233227,1234101,1234902,1235658,1236378,1237101,1237795,1238490,1239188,1239829,1240457,1241091,1241744,1242374,1242965,1243542,1244086,1244653,1245129,1245657,1246146,1246631,1247152,1247661,1248133,1248595,1248988,
88000,367,6767,27901,64318,110499,161945,214103,264978,313744,359066,400638,439696,475240,508606,539160,567268,593084,617166,639331,660149,679538,697738,714348,730276,744966,758702,771471,783617,794887,805662,815746,825530,834646,843398,851535,859164,866455,873482,880247,886473,892484,898257,903570,908726,913752,918467,923113,927545,931787,935904,939845,943624,947250,950690,954009,957164,960178,963223,966006,968742,971341,973848,976248,978648,980878,983076,985182,987242,989232,991173,993034,994868,996597,998262,999934,1001506,1003073,1004510,1005897,1007254,1008604,1009922,1011190,1012438,1013633,1014780,1015912,1017015,1018057,1019095,1020154,1021128,1022067,1023014,1023861,1024693,1025556,1026379,1027158,1027953,1028733,1029497,1030204,1030902,1031577,1032270,1032916,1033524,1034120,1034721,1035335,1035864,1036449,1036995,1037544,1038076,1038634,1039161,1039641,
88010,98,2659,13776,36416,68337,106178,146757,187932,228314,267349,303730,338328,370466,400950,429033,455255,479755,502612,524050,544137,562831,580296,596767,612003,626465,639920,652595,664685,676130,686848,697037,706729,715874,724510,732889,740744,748079,755024,761806,768193,774374,780196,785891,791202,796381,801326,806073,810606,814945,819147,823200,827050,830777,834350,837737,840950,844172,847171,850082,852909,855568,858211,860751,863248,865655,867906,870115,872271,874395,876285,878209,880063,881918,883658,885457,887102,888659,890234,891832,893296,894664,896076,897405,898670,899866,901145,902280,903410,904432,905497,906539,907550,908557,909579,910549,911529,912437,913293,914132,914960,915752,916524,917307,918043,918811,919507,920168,920825,921470,922112,922729,923380,923984,924555,925059,925594,926120,926643,927165,
88020,14,871,5713,17967,37387,62680,91754,122666,154022,184986,215531,244618,272683,299145,324174,347901,370156,390965,410725,429184,446658,463005,478343,493043,506775,519793,532115,543742,554774,565123,574994,584471,593385,601773,609888,617632,625092,632273,638993,645240,651406,657338,662946,668157,673300,678180,682898,687461,691998,696119,700207,704060,707910,711445,714842,718209,721473,724668,727585,730447,733224,735836,738446,740942,743426,745722,748005,750169,752267,754348,756286,758254,760095,761900,763635,765396,767000,768607,770189,771687,773154,774593,775960,777346,778681,779905,781076,782261,783362,784544,785624,786677,787685,788653,789652,790602,791567,792469,793314,794211,795027,795804,796569,797342,798148,798873,799592,800266,800954,801636,802277,802866,803429,804016,804596,805145,805716,806266,806763,
88030,5,205,1886,7233,17373,32085,50293,70841,93077,116124,139371,162392,184699,206362,227057,246759,266201,284305,301657,318167,333998,348628,362622,375870,388504,400444,411808,422678,433026,442981,452405,461231,469672,477819,485596,493189,500247,507000,513462,519534,525623,531292,536789,542035,547075,551871,556459,560894,565326,569416,573423,577184,580819,584485,587910,591239,594366,597461,600427,603279,605986,608632,611147,613557,616088,618400,620614,622794,625033,627096,629107,630978,632840,634595,636450,638191,639866,641558,643170,644747,646206,647632,649065,650346,651586,652834,654099,655248,656485,657624,658758,659903,660994,662009,663049,664017,664936,665860,666807,667692,668563,669392,670193,670988,671752,672481,673172,673884,674578,675231,675863,676490,677102,677720,678326,678926,679519,680055,680604,
88040,1,85,889,3982,10506,20668,34607,50670,68568,87315,106729,126128,145568,164618,182909,200658,218044,234461,249954,264979,279397,293078,306151,318665,330530,341950,352807,363114,372864,382219,391289,399946,408172,416161,423671,430897,437746,444203,450598,456778,462507,467962,473297,478408,483352,488079,492551,496875,501159,505143,509051,512882,516539,519980,523334,526588,529726,532808,535810,538666,541428,544121,546709,549127,551527,553764,556052,558244,560347,562444,564423,566391,568273,570058,571853,573569,575262,576856,578400,579941,581416,582848,584226,585578,586893,588177,589401,590555,591771,592870,593954,595049,596118,597139,598144,599092,600014,600953,601799,602648,603546,604406,605234,605998,606737,607487,608230,608949,609693,610334,611012,611731,612375,613011,613647,614243,614847,615397,615896,
88050,1,27,450,2150,6024,12816,22350,34153,47671,62656,78293,94168,110278,126471,142281,157679,172927,187602,201576,215110,228145,240824,252994,264606,275642,285957,296248,305865,314930,323719,331967,340105,347852,355192,362298,369147,375669,381991,388037,393867,399442,404834,409965,414983,419779,424398,428837,433155,437205,441211,444986,448500,452055,455501,458816,461992,465082,467987,470793,473567,476272,478917,481413,483787,486116,488415,490589,492705,494752,496757,498777,500713,502565,504359,506102,507859,509510,511134,512678,514193,515689,517102,518548,519930,521266,522551,523811,525002,526140,527237,528303,529356,530420,531360,532348,533269,534192,535108,535979,536813,537664,538434,539273,540087,540858,541655,542365,543120,543858,544527,545209,545858,546493,547123,547722,548263,548818,549378,549937,
88060,0,10,167,956,3085,7174,13263,21274,30919,41972,53881,66201,79096,91943,104865,117700,130442,142891,155070,166858,178391,189469,200005,210486,220472,229936,239041,247794,256246,264397,272141,279621,286944,293700,300428,306745,312853,318815,324509,329945,335222,340156,345115,349782,354241,358616,362745,366761,370733,374535,378162,381742,385175,388452,391594,394676,397607,400458,403291,405980,408536,410984,413401,415872,418053,420351,422479,424620,426634,428565,430442,432297,434155,435934,437635,439249,440813,442356,443888,445351,446817,448239,449554,450883,452184,453463,454667,455842,456950,458102,459183,460232,461230,462284,463281,464283,465221,466118,467025,467909,468748,469511,470296,471115,471827,472574,473309,474023,474780,475491,476126,476787,477434,478013,478611,479164,479747,480278,480818,
88070,0,1,50,369,1393,3525,7000,12052,18373,25769,34333,43470,52979,62902,73212,83640,93840,103956,113855,123701,133446,142668,151860,160814,169225,177586,185511,193374,200855,208247,215222,222041,228673,234895,241011,246829,252424,257778,263038,268169,273115,277613,282228,286627,290925,295140,298985,302789,306500,310051,313527,316844,320075,323107,326045,328970,331773,334537,337174,339797,342327,344744,347096,349423,351632,353745,355790,357880,359845,361738,363476,365338,367106,368772,370459,372056,373616,375127,376635,378064,379457,380844,382129,383397,384651,385823,386980,388144,389295,390418,391456,392512,393546,394596,395560,396462,397393,398301,399195,400070,400920,401718,402467,403232,404022,404717,405407,406112,406735,407410,408027,408634,409240,409838,410417,410955,411467,412036,412576,
88080,0,0,26,194,751,2064,4462,7903,12594,18217,24808,32224,40016,48270,56753,65468,74309,82920,91653,100332,108946,117265,125250,133186,140979,148502,155824,163061,170051,176840,183326,189440,195440,201252,207021,212428,217651,222777,227667,232388,237076,241497,245714,249819,253737,257539,261216,264977,268545,271892,275099,278289,281428,284458,287339,290156,292847,295512,298127,300481,302884,305345,307624,309906,312049,314039,316107,318071,319924,321728,323521,325249,326900,328572,330141,331657,333164,334663,336167,337522,338891,340149,341418,342635,343939,345153,346284,347494,348563,349654,350706,351739,352733,353732,354670,355605,356575,357453,358272,359050,359839,360638,361398,362136,362853,363546,364276,364951,365608,366262,366895,367475,368106,368736,369307,369869,370402,370981,371463,
88090,0,0,6,71,380,1107,2558,4845,7998,12068,16889,22426,28478,34928,41798,48740,56065,63326,70809,78124,85446,92768,99810,106783,113587,120348,126856,133181,139347,145165,151023,156854,162435,167691,172901,177938,182826,187327,191845,196311,200663,204869,208939,212891,216675,220294,223881,227372,230701,233871,236896,239881,242820,245610,248401,251038,253623,256134,258521,260924,263325,265544,267747,269904,271962,273970,275925,277837,279574,281291,283068,284797,286375,287997,289483,290968,292434,293779,295175,296558,297840,299128,300334,301521,302669,303877,305018,306082,307182,308243,309252,310205,311097,312049,312979,313849,314732,315593,316390,317178,317970,318751,319491,320221,320883,321576,322268,322912,323558,324169,324772,325358,325958,326578,327157,327707,328282,328838,329333,
88100,0,0,4,28,183,612,1437,2853,4888,7603,10938,14959,19306,24235,29381,35003,40959,46888,52834,58672,64832,70912,76931,82820,88622,94390,100081,105569,111075,116339,121570,126535,131420,136124,140738,145195,149549,153932,158028,162074,165920,169673,173300,176896,180307,183648,186916,190095,193074,195994,198891,201626,204319,206953,209476,212013,214442,216744,218992,221203,223330,225379,227418,229404,231325,233188,234992,236742,238476,240095,241709,243267,244800,246244,247726,249023,250444,251800,253096,254457,255704,256892,258078,259277,260443,261513,262613,263651,264641,265695,266707,267702,268600,269501,270381,271279,272093,272889,273707,274499,275248,276009,276726,277452,278148,278810,279502,280148,280788,281396,282026,282597,283135,283664,284205,284810,285352,285838,286341,
88110,0,0,1,7,49,208,644,1396,2543,4265,6488,9108,12158,15642,19397,23481,27701,32190,36791,41474,46251,51147,56071,60890,65755,70582,75346,79944,84554,89155,93588,97849,102098,106267,110380,114347,118164,122049,125695,129264,132748,136143,139450,142584,145670,148716,151658,154568,157361,160011,162639,165050,167560,169951,172351,174615,176807,178958,181041,183062,184965,186921,188788,190595,192388,194085,195837,197461,199009,200591,202112,203601,205032,206437,207823,209164,210474,211687,212850,214051,215265,216412,217578,218680,219689,220713,221750,222763,223765,224702,225614,226556,227402,228288,229098,229913,230747,231500,232278,233036,233725,234417,235129,235849,236530,237170,237769,238367,238974,239559,240143,240731,241283,241863,242396,242929,243417,243947,244448,
88120,0,0,0,3,22,69,233,589,1141,1997,3194,4765,6649,8852,11368,14164,17165,20429,23869,27329,30925,34520,38318,42036,45764,49591,53278,56996,60686,64371,67893,71465,74990,78502,81845,85189,88514,91821,94974,98077,101058,103942,106790,109564,112271,114936,117418,119884,122344,124772,127051,129372,131596,133854,135907,137946,139867,141794,143712,145441,147240,148942,150609,152243,153902,155470,157068,158612,160089,161608,162992,164346,165655,166988,168202,169366,170572,171708,172811,173930,175044,176110,177172,178152,179150,180135,181052,181987,182858,183667,184538,185345,186186,187003,187790,188593,189306,190007,190742,191461,192135,192799,193445,194046,194638,195247,195839,196424,196944,197480,197997,198518,199021,199524,200041,200543,201029,201476,201954,
88130,0,0,0,0,3,25,86,239,529,985,1647,2552,3670,4981,6615,8457,10441,12686,14974,17497,20064,22758,25573,28387,31304,34150,37045,39967,42913,45815,48782,51691,54597,57456,60248,62979,65676,68339,70955,73516,75988,78437,80934,83367,85673,87907,90057,92292,94413,96426,98476,100433,102406,104247,106155,107944,109750,111440,113074,114696,116318,117883,119401,120857,122341,123690,125083,126407,127700,129035,130258,131471,132678,133767,134958,136107,137157,138248,139230,140271,141300,142254,143217,144099,145003,145873,146696,147540,148384,149168,149979,150777,151541,152299,153043,153718,154396,155074,155725,156370,157008,157629,158228,158827,159378,159911,160439,161005,161550,162082,162599,163065,163561,164012,164476,164898,165334,165799,166206,
88140,0,0,0,0,0,7,26,76,171,376,650,1068,1661,2389,3267,4377,5573,6945,8509,10125,11748,13508,15367,17254,19305,21483,23518,25654,27818,29969,32128,34376,36521,38669,40826,42973,45114,47205,49248,51231,53255,55217,57159,59104,61000,62797,64658,66425,68164,69875,71506,73186,74741,76421,78025,79598,81058,82474,83923,85315,86692,88021,89265,90489,91728,92937,94091,95200,96342,97467,98601,99671,100675,101678,102679,103635,104636,105586,106482,107423,108298,109165,110021,110845,111652,112408,113202,113908,114684,115426,116142,116835,117522,118172,118807,119448,120012,120597,121190,121731,122279,122831,123365,123920,124444,124939,125430,125916,126401,126899,127367,127816,128237,128658,129096,129494,129901,130297,130708,
88150,0,0,0,0,0,0,5,13,42,104,189,337,551,845,1257,1745,2329,3015,3811,4731,5665,6671,7740,8875,10146,11386,12680,14024,15423,16912,18351,19911,21380,22945,24452,25936,27486,29010,30470,31961,33355,34816,36288,37703,39126,40478,41848,43226,44516,45858,47163,48409,49657,50886,52102,53296,54414,55520,56634,57697,58845,59917,60982,62024,63016,63995,64965,65951,66827,67754,68683,69572,70381,71232,72018,72775,73574,74307,75051,75816,76551,77261,77965,78631,79282,79923,80609,81250,81910,82506,83111,83736,84343,84899,85388,85922,86457,86994,87545,88049,88551,89029,89504,89944,90382,90834,91296,91717,92131,92561,92989,93391,93772,94152,94532,94904,95234,95569,95884,
88160,0,0,0,0,0,0,1,2,3,8,30,65,125,204,305,460,629,853,1128,1439,1803,2226,2703,3215,3734,4307,4969,5638,6346,7049,7797,8564,9384,10193,11064,11908,12783,13679,14536,15422,16310,17178,17985,18902,19732,20584,21433,22302,23212,24083,24974,25830,26682,27503,28364,29194,29953,30718,31460,32233,33010,33770,34479,35195,35951,36663,37353,38020,38683,39328,40012,40696,41283,41899,42482,43078,43573,44154,44709,45292,45831,46357,46883,47397,47878,48394,48886,49379,49871,50353,50787,51255,51687,52141,52550,52967,53371,53759,54151,54574,54982,55346,55685,56034,56362,56696,57024,57366,57677,58000,58334,58620,58939,59232,59521,59864,60163,60415,60701,
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88500,0,0,0,0,3,31,95,231,498,898,1473,2268,3246,4458,5827,7415,9137,11028,13010,15143,17458,19685,22058,24427,26864,29389,31947,34424,36851,39310,41729,44296,46760,49103,51500,53811,56216,58527,60764,62946,65099,67245,69428,71488,73556,75531,77488,79303,81097,82884,84689,86411,88069,89756,91386,92985,94550,96083,97586,99029,100436,101787,103147,104430,105716,106949,108134,109379,110598,111726,112835,113875,114901,115954,116947,117916,118893,119819,120746,121633,122520,123370,124279,125081,125882,126659,127423,128183,128934,129661,130350,131078,131802,132425,133111,133777,134401,135000,135566,136129,136661,137246,137832,138385,138914,139437,139962,140459,140939,141377,141862,142297,142709,143153,143570,143952,144348,144750,145135,
88510,0,0,0,0,1,4,13,53,133,290,508,815,1189,1748,2427,3195,4114,5110,6225,7492,8722,10062,11550,13057,14587,16234,17800,19450,21205,22898,24632,26376,28095,29750,31453,33228,34960,36600,38301,39912,41566,43190,44773,46316,47770,49248,50707,52164,53633,55113,56526,57824,59171,60471,61804,63085,64289,65478,66604,67777,68907,70051,71119,72140,73206,74184,75181,76185,77156,78130,79048,79992,80953,81826,82692,83497,84309,85058,85796,86567,87307,88071,88810,89446,90136,90801,91484,92115,92732,93346,93990,94568,95147,95739,96310,96808,97364,97917,98432,98923,99414,99924,100357,100838,101319,101776,102168,102620,103000,103402,103825,104184,104582,104968,105353,105708,106044,106388,106743,
88520,0,0,0,0,0,0,0,3,12,33,76,146,250,411,631,869,1204,1592,2028,2479,3055,3630,4303,5007,5736,6556,7385,8255,9151,10043,10993,11963,12960,13966,14945,15935,16961,18014,19058,20102,21144,22123,23140,24163,25160,26121,27117,28110,29061,30018,30922,31865,32815,33742,34656,35525,36348,37245,38040,38844,39629,40475,41282,42044,42851,43594,44409,45134,45891,46580,47296,47975,48642,49308,49950,50520,51149,51794,52408,52954,53500,54053,54628,55137,55665,56150,56658,57179,57720,58209,58681,59150,59617,60060,60483,60885,61333,61762,62206,62612,62988,63369,63774,64131,64512,64850,65166,65533,65867,66195,66526,66839,67125,67412,67737,68052,68339,68644,68930,
88530,2,363,5201,23095,58355,107958,166250,227871,289442,348893,404572,456227,503476,547156,587095,623198,656113,686477,714285,739464,762606,783910,803725,821875,838520,854078,868342,881718,894331,905942,916954,927148,936777,945761,953972,961945,969397,976544,983128,989218,995139,1000640,1005870,1010875,1015572,1020066,1024405,1028341,1032168,1035886,1039388,1042768,1045953,1048887,1051726,1054529,1057199,1059732,1062131,1064603,1066851,1068928,1070972,1072957,1074854,1076698,1078409,1080082,1081683,1083287,1084811,1086212,1087619,1088970,1090260,1091537,1092740,1093871,1094972,1096037,1097079,1098116,1099037,1099924,1100804,1101669,1102493,1103285,1104025,1104775,1105458,1106149,1106864,1107537,1108226,1108805,1109442,1110060,1110629,1111156,1111655,1112145,1112629,1113071,1113484,1113978,1114389,1114807,1115190,1115577,1115961,1116344,1116687,1117054,1117407,1117723,1118068,1118393,1118725,
88540,0,44,935,5887,18562,40713,70720,106014,144522,184247,223800,262213,298970,333775,366488,397034,425467,451906,476668,499563,520708,540396,558759,575831,591992,606854,620794,633926,646079,657460,668307,678328,687660,696674,705227,713087,720734,727919,734777,741282,747250,752963,758513,763781,768601,773400,777999,782232,786299,790181,793955,797486,800868,804117,807172,810096,812886,815616,818307,820841,823220,825420,827561,829674,831637,833618,835525,837271,838981,840732,842344,843926,845428,846879,848301,849664,850931,852179,853344,854514,855642,856720,857821,858845,859887,860843,861733,862596,863422,864258,865069,865822,866579,867264,867970,868647,869322,869950,870548,871142,871756,872319,872819,873320,873845,874356,874881,875365,875839,876280,876690,877092,877469,877841,878214,878568,878942,879302,879613,
88550,0,11,359,2596,9135,22012,41225,65586,93371,123411,154404,185254,215333,244464,272369,298731,323835,347410,369693,390341,409793,427900,444766,460732,475709,489746,503053,515641,527245,538312,548721,558551,567647,576413,584809,592707,600241,607207,613838,620006,625910,631615,637161,642280,647051,651855,656259,660544,664665,668509,672195,675732,679078,682373,685388,688268,691120,693863,696468,698954,701435,703745,705966,708065,710068,712073,713929,715753,717544,719202,720857,722432,723923,725411,726761,728065,729354,730548,731779,732952,734092,735228,736290,737313,738279,739276,740205,741111,742018,742873,743679,744470,745275,746039,746709,747394,748047,748721,749340,749958,750559,751126,751673,752223,752752,753257,753782,754238,754704,755173,755630,756084,756501,756887,757261,757641,757996,758367,758704,
88560,0,0,83,902,3777,10475,21365,36658,55143,76142,98487,121734,145319,168305,190726,212315,233351,253371,272301,290397,307321,323612,338944,353420,367091,380059,392256,403814,414836,425230,434849,444111,452883,461126,469048,476472,483537,490372,496723,502816,508545,513962,519290,524330,529137,533702,538083,542150,546185,549991,553745,557226,560523,563684,566749,569679,572569,575348,577866,580387,582726,585003,587221,589382,591444,593428,595331,597134,598863,600656,602238,603812,605275,606749,608156,609526,610900,612148,613431,614623,615829,616912,617924,619002,619945,620921,621877,622745,623601,624451,625277,626061,626807,627545,628293,629014,629628,630272,630906,631540,632150,632740,633326,633890,634407,634943,635431,635926,636380,636821,637242,637649,638103,638491,638865,639236,639582,639944,640285,
88570,0,0,23,251,1317,4207,9593,17898,28687,41786,56489,72368,89164,106153,123534,140511,157303,173214,188787,203620,218015,231704,244753,257099,268989,280400,291064,301222,310925,320123,328873,337224,345221,352823,360144,367005,373603,379851,385839,391529,396846,402091,406986,411781,416277,420638,424748,428746,432492,436186,439632,442862,446103,449110,452070,454978,457714,460330,462863,465297,467619,469894,472089,474183,476128,478079,479897,481658,483416,485126,486730,488240,489785,491201,492559,493875,495231,496496,497611,498821,500006,501144,502212,503203,504185,505132,506059,506958,507833,508682,509558,510338,511116,511832,512574,513283,513954,514609,515260,515905,516553,517147,517671,518243,518751,519233,519730,520215,520679,521144,521621,522058,522468,522862,523259,523663,524042,524411,524770,
88580,0,0,4,137,654,2372,5883,11493,19404,29049,40457,53034,66485,80416,94740,109211,123475,137628,151283,164461,177386,189685,201500,212763,223572,233951,243715,253057,262005,270699,278952,286846,294409,301446,308466,314841,321038,326942,332789,338188,343447,348322,353066,357638,361875,365971,369861,373664,377304,380843,384182,387414,390442,393456,396316,399045,401676,404216,406644,409073,411269,413441,415575,417634,419540,421418,423297,425069,426779,428430,429925,431437,432922,434363,435746,437067,438344,439545,440694,441865,442929,443953,445009,446093,447084,448090,449016,449880,450738,451540,452331,453053,453814,454564,455309,456018,456679,457337,457982,458575,459189,459760,460351,460865,461372,461917,462422,462909,463385,463859,464327,464773,465202,465621,466019,466393,466782,467127,467470,
88590,0,0,3,53,347,1343,3396,7049,12507,19415,27699,37272,47670,58746,70389,82142,93854,105629,117229,128904,140069,150729,161166,171171,180845,190340,199346,207882,216264,224253,231671,238862,245693,252270,258556,264700,270552,275963,281150,286172,290947,295605,299988,304150,308362,312287,316068,319716,323291,326626,329827,332903,335838,338687,341552,344255,346744,349161,351515,353848,356032,358089,360170,362161,364102,365853,367549,369239,370789,372391,373955,375409,376897,378290,379611,380865,382131,383321,384466,385609,386680,387742,388757,389743,390709,391648,392522,393387,394250,395058,395871,396632,397464,398213,398923,399607,400320,400969,401598,402203,402772,403372,403925,404471,405019,405535,405984,406462,406941,407371,407802,408224,408617,409051,409424,409804,410167,410498,410904,
88600,0,0,0,14,150,613,1758,3959,7316,12022,17962,24942,32689,41066,50103,59282,68656,78232,87771,97242,106645,115732,124630,133116,141681,149845,157862,165525,172881,179928,186600,193110,199250,205293,210924,216407,221757,226814,231495,236246,240730,244913,249023,253029,257011,260747,264303,267704,270944,274078,277095,279878,282667,285374,288071,290624,293022,295386,297656,299863,302039,304004,305959,307873,309765,311456,313024,314704,316260,317776,319280,320673,322026,323389,324692,325870,327036,328209,329307,330343,331464,332459,333395,334400,335320,336265,337099,337985,338823,339607,340363,341093,341870,342552,343232,343948,344580,345217,345813,346370,346987,347576,348107,348661,349168,349659,350131,350628,351096,351565,352007,352419,352812,353195,353604,353983,354327,354699,355051,
88610,0,0,0,13,69,271,830,1993,4067,6963,10774,15393,21001,27206,33764,40713,48196,55645,63278,70802,78379,85774,93104,100210,107321,114363,121166,127805,134257,140421,146182,151872,157412,162712,167866,172848,177654,182346,186639,190898,195019,198861,202557,206172,209605,212913,216135,219217,222097,224903,227723,230381,232900,235512,237979,240342,242556,244842,246901,248900,250759,252663,254482,256285,258001,259629,261220,262764,264252,265702,267088,268398,269686,270956,272241,273428,274512,275592,276710,277724,278664,279602,280557,281483,282348,283218,284032,284807,285607,286379,287153,287862,288528,289174,289787,290463,291101,291685,292302,292899,293430,293955,294499,294995,295448,295917,296363,296811,297224,297649,298094,298486,298863,299226,299597,299938,300262,300598,300943,
88620,0,0,0,0,22,140,482,1211,2581,4607,7437,11048,15289,20134,25407,30986,36997,43227,49525,55857,62234,68693,75185,81600,87987,93981,99977,105991,111689,117383,122681,127949,132907,137815,142501,147069,151433,155597,159645,163620,167399,171044,174633,177949,181227,184417,187313,190158,193008,195595,198233,200712,203184,205587,207815,209974,212107,214215,216152,218036,219941,221699,223434,225115,226672,228182,229654,231122,232505,233833,235169,236436,237674,238829,239971,241115,242234,243315,244314,245332,246344,247270,248162,249073,249946,250762,251587,252413,253161,253874,254600,255332,256015,256696,257324,257905,258464,259058,259638,260151,260634,261183,261686,262199,262675,263144,263636,264077,264499,264940,265347,265753,266095,266464,266812,267192,267548,267874,268217,
88630,0,0,0,0,9,58,235,688,1537,2937,4952,7535,10667,14326,18475,22901,27645,32635,37814,43125,48499,53997,59532,64935,70367,75798,80989,86102,91099,95983,100655,105260,109815,114240,118441,122528,126538,130449,134037,137683,141207,144580,147756,150907,153949,156872,159642,162449,165083,167526,169990,172350,174628,176724,178863,180996,182941,184919,186788,188626,190379,192034,193610,195188,196756,198273,199699,201043,202438,203698,204930,206248,207450,208593,209746,210834,211870,212851,213813,214778,215676,216564,217421,218286,219092,219860,220649,221400,222122,222803,223552,224201,224866,225502,226118,226716,227295,227858,228427,228964,229441,229959,230470,230943,231403,231833,232324,232755,233200,233604,234003,234411,234781,235129,235477,235830,236181,236496,236808,
88640,0,0,0,0,8,26,115,376,828,1729,2956,4736,6860,9472,12572,15876,19576,23412,27487,31807,36185,40698,45334,49861,54386,58924,63325,67735,71934,75997,80142,84165,88011,91879,95604,99343,102858,106335,109631,112849,116061,119073,121984,124830,127622,130322,132845,135344,137731,140073,142286,144407,146505,148484,150448,152453,154239,156009,157787,159458,161046,162618,164126,165626,167110,168546,169899,171186,172423,173712,174891,176058,177147,178161,179239,180264,181242,182153,183102,184042,184915,185746,186579,187424,188124,188862,189581,190281,190971,191666,192292,192927,193560,194200,194758,195352,195949,196455,196963,197455,197951,198451,198900,199364,199774,200194,200604,201019,201429,201811,202166,202503,202895,203273,203614,203910,204207,204521,204817,
88650,0,0,0,0,1,7,64,177,431,917,1654,2701,4074,5893,8017,10389,13032,15872,18908,22206,25559,29111,32670,36423,39953,43506,47103,50817,54345,57913,61341,64776,68146,71454,74632,77767,80791,83841,86780,89480,92238,94959,97482,99960,102427,104743,107017,109186,111261,113403,115398,117385,119311,121187,122927,124730,126375,127985,129584,131076,132581,134020,135391,136829,138067,139336,140559,141764,142990,144089,145242,146336,147341,148366,149396,150339,151289,152253,153141,154009,154827,155553,156291,157032,157779,158429,159170,159811,160449,161089,161697,162290,162852,163418,163944,164502,165025,165494,165958,166426,166878,167341,167759,168176,168599,169013,169401,169759,170132,170499,170835,171178,171535,171851,172172,172499,172795,173058,173350,
88660,0,0,0,0,0,10,23,84,226,476,870,1439,2308,3360,4667,6276,7978,9986,12188,14549,16931,19620,22182,24980,27793,30615,33464,36298,39207,41893,44743,47563,50346,53024,55640,58251,60689,63113,65518,67895,70263,72596,74692,76900,79023,81075,83070,84998,86904,88614,90354,92123,93754,95411,96963,98531,100007,101414,102832,104166,105497,106834,108071,109281,110395,111577,112714,113783,114800,115795,116777,117724,118647,119520,120385,121243,122062,122824,123636,124394,125119,125847,126569,127255,127884,128552,129198,129787,130410,130983,131574,132141,132656,133148,133680,134160,134663,135108,135537,135988,136392,136805,137166,137577,137975,138322,138675,139035,139377,139696,140012,140335,140657,140962,141256,141517,141818,142080,142374,
88670,0,0,0,0,0,0,11,27,84,178,396,720,1223,1897,2710,3710,4883,6208,7812,9420,11188,13096,15098,17058,19136,21287,23481,25618,27795,30030,32343,34546,36798,38951,41144,43300,45450,47446,49457,51423,53417,55289,57114,58916,60711,62446,64211,65876,67448,69037,70536,72030,73493,74941,76306,77618,78989,80273,81519,82718,83881,85048,86153,87201,88252,89250,90227,91210,92183,93045,93868,94708,95556,96349,97151,97859,98541,99267,100012,100668,101303,101934,102560,103214,103809,104392,104980,105518,106044,106615,107114,107637,108109,108591,109044,109520,109971,110398,110800,111231,111612,111988,112359,112710,113059,113405,113745,114104,114436,114750,115030,115308,115630,115884,116175,116434,116705,116961,117190,
88680,0,0,0,0,0,0,0,9,34,74,166,312,558,885,1358,1931,2640,3429,4336,5403,6581,7888,9156,10564,12001,13451,15070,16654,18274,19920,21546,23143,24844,26531,28092,29711,31351,32941,34565,36095,37685,39188,40633,42062,43485,44868,46258,47629,48991,50262,51508,52758,53892,55114,56290,57425,58638,59661,60728,61697,62702,63637,64547,65435,66382,67258,68137,68947,69730,70515,71365,72093,72835,73520,74204,74882,75534,76155,76741,77294,77894,78469,78993,79515,80059,80594,81089,81587,82057,82539,82988,83405,83827,84269,84667,85051,85421,85795,86144,86510,86854,87206,87514,87836,88192,88479,88759,89060,89341,89650,89911,90176,90428,90681,90936,91177,91412,91628,91850,
88690,0,0,0,0,0,0,0,1,6,19,37,92,187,320,498,739,1062,1455,1933,2511,3152,3827,4576,5453,6327,7225,8225,9187,10216,11280,12380,13471,14756,15877,17055,18233,19347,20431,21573,22781,23867,24972,26110,27216,28336,29460,30558,31565,32561,33547,34541,35479,36459,37410,38326,39207,40070,40901,41741,42523,43318,44085,44860,45614,46362,47065,47795,48441,49095,49742,50325,50915,51510,52091,52604,53160,53698,54226,54770,55302,55765,56250,56748,57204,57642,58040,58457,58868,59256,59636,60020,60383,60755,61097,61440,61783,62114,62405,62727,63024,63351,63684,63976,64252,64527,64804,65062,65312,65567,65777,66008,66241,66484,66694,66922,67108,67314,67515,67733,
88700,0,0,0,0,0,0,0,0,0,1,11,18,32,64,111,191,302,419,580,831,1087,1389,1672,2064,2480,2907,3363,3876,4383,4935,5513,6097,6719,7333,7970,8628,9323,9981,10744,11403,12072,12730,13414,14162,14831,15500,16170,16847,17482,18136,18718,19329,19990,20628,21258,21861,22498,23064,23594,24183,24762,25320,25875,26385,26899,27417,27907,28377,28843,29321,29765,30205,30643,31076,31499,31868,32256,32663,33041,33440,33801,34156,34494,34878,35242,35539,35857,36213,36543,36835,37142,37464,37736,38014,38275,38557,38830,39066,39351,39599,39815,40028,40257,40486,40696,40892,41092,41278,41467,41655,41831,42021,42183,42338,42492,42668,42829,42987,43153,
88710,86,4170,24240,64605,120968,184590,250886,315081,375365,431509,482989,529572,571934,610246,644861,676547,705359,731622,755606,777462,797613,816225,833256,849229,863828,877287,889846,901654,912634,922976,932613,941571,949967,957780,965147,972358,978925,985033,990898,996505,1001919,1006941,1011633,1016125,1020491,1024512,1028279,1031942,1035379,1038683,1041901,1044888,1047825,1050630,1053286,1055744,1058174,1060445,1062588,1064737,1066815,1068807,1070681,1072541,1074266,1075910,1077443,1078910,1080341,1081736,1083117,1084414,1085618,1086835,1088036,1089175,1090224,1091261,1092291,1093262,1094189,1095101,1095962,1096811,1097671,1098500,1099262,1100028,1100736,1101361,1102055,1102694,1103322,1103907,1104478,1105054,1105602,1106128,1106624,1107114,1107593,1108076,1108540,1108977,1109406,1109843,1110262,1110675,1111053,1111413,1111779,1112157,1112478,1112795,1113118,1113414,1113720,1114010,1114286,
88720,9,739,6351,22070,48708,84080,124842,167604,210512,252629,292473,330133,364823,397805,427850,455813,481808,505840,528129,548739,567731,585772,602289,617738,632158,645356,657950,669713,680681,690879,700586,709719,718313,726377,733991,741119,748043,754459,760456,766248,771842,776953,781995,786780,791270,795526,799629,803505,807198,810678,814033,817306,820391,823267,826087,828794,831359,833811,836151,838417,840579,842652,844577,846541,848378,850145,851841,853546,855045,856631,858083,859515,860860,862166,863423,864626,865813,866966,868118,869182,870172,871087,871978,872926,873828,874726,875592,876415,877193,877944,878717,879437,880144,880799,881457,882071,882656,883232,883809,884363,884935,885466,885989,886496,886990,887402,887847,888303,888681,889105,889459,889806,890184,890573,890939,891294,891630,891938,892249,
88730,1,257,2742,11182,27384,50687,79849,111769,145456,179132,212258,244040,274262,303114,330097,355347,378617,400620,421270,440460,458669,475291,491024,505779,519446,532488,544625,556001,566389,576383,585838,594790,603163,611203,618417,625609,632318,638639,644617,650236,655687,660879,665812,670495,674924,679218,683248,687144,690736,694245,697687,701005,704047,707036,709887,712674,715243,717744,720133,722394,724600,726682,728713,730668,732591,734415,736206,737865,739502,741056,742573,744044,745435,746794,748118,749364,750606,751723,752908,753967,755055,756100,757062,758010,758893,759766,760692,761524,762333,763102,763882,764567,765260,766001,766651,767227,767864,768450,769082,769603,770160,770700,771156,771646,772182,772641,773101,773529,773983,774437,774857,775280,775679,776048,776440,776814,777147,777489,777801,
88740,0,64,1015,4874,13446,27554,46371,68738,92827,118105,143498,169149,193764,217750,240616,262376,282851,302276,320438,337899,354080,369374,383505,397225,410138,422003,433270,443727,453769,463270,472277,480878,488785,496548,503957,510919,517482,523508,529404,534843,540245,545347,550227,554875,559305,563492,567518,571332,574920,578424,581786,585018,588011,590845,593641,596327,598996,601500,603867,606182,608286,610391,612409,614349,616273,618108,619862,621663,623307,624893,626386,627770,629184,630516,631812,633086,634392,635626,636756,637862,638982,640039,641014,641974,642914,643785,644648,645493,646296,647043,647865,648632,649382,650031,650709,651388,652026,652631,653190,653791,654337,654865,655415,655933,656445,656901,657360,657830,658303,658714,659118,659520,659907,660267,660634,661013,661357,661740,662082,
88750,0,13,256,1701,5662,12921,23693,37463,53408,70895,89329,108261,126954,145562,163820,181606,198596,214767,230155,244956,258999,272271,285107,297230,308478,319239,329664,339286,348441,357106,365416,373304,380736,387961,394794,401251,407408,413213,418720,424063,428964,433753,438443,442892,447200,451229,455122,458939,462375,465754,468964,472047,475037,477891,480675,483304,485856,488273,490607,492970,495169,497285,499276,501144,502928,504699,506432,508039,509632,511190,512659,514102,515502,516822,518120,519405,520582,521749,522903,523980,525049,526162,527153,528155,529022,529932,530816,531740,532513,533294,534098,534850,535619,536292,536967,537612,538249,538874,539432,539983,540533,541094,541637,542153,542654,543135,543632,544120,544554,544987,545412,545811,546207,546611,546986,547333,547676,548013,548342,
88760,0,4,115,939,3310,7979,15416,25634,37913,51809,66760,82258,98158,114111,129689,145267,160208,174639,188595,201841,214729,226876,238360,249480,260145,270282,279968,288918,297698,305989,313735,321126,328164,334867,341277,347429,353324,358964,364402,369555,374352,379151,383490,387813,391778,395609,399309,402849,406226,409580,412681,415660,418625,421424,424141,426679,429118,431563,433864,436066,438238,440305,442286,444153,445931,447705,449502,451187,452771,454243,455778,457226,458616,459942,461238,462458,463673,464815,465903,467058,468075,469148,470145,471110,472022,472886,473760,474625,475447,476288,477011,477811,478525,479205,479927,480580,481250,481908,482462,483067,483610,484167,484697,485210,485725,486223,486656,487103,487565,487976,488400,488793,489172,489577,489940,490299,490650,490991,491333,
88770,0,3,63,423,1832,4851,9816,16926,25884,36339,47844,60027,72910,85948,99140,112182,125122,137635,149618,161417,172606,183687,194198,204087,213724,222738,231376,239788,247729,255330,262691,269639,276286,282643,288690,294305,299787,305031,310015,314853,319534,324005,328345,332267,336149,339871,343499,346910,350180,353240,356359,359321,362147,364873,367429,369998,372425,374694,376896,379038,381155,383082,385013,386903,388692,390337,392046,393563,395032,396561,398028,399480,400909,402164,403409,404594,405798,406938,408028,409132,410220,411184,412133,413066,413975,414901,415790,416648,417472,418242,418980,419727,420434,421131,421800,422416,423088,423725,424293,424918,425436,425946,426470,426982,427502,427989,428453,428891,429356,429784,430191,430606,430993,431344,431730,432063,432397,432707,433026,
88780,0,1,25,183,817,2531,5671,10281,16404,23860,32570,42133,52274,62609,73108,83810,94514,105059,115308,125382,135201,144547,153753,162775,171246,179388,187280,194757,201945,208859,215512,221898,228139,233885,239496,244862,250061,254843,259558,264098,268497,272590,276610,280393,284136,287699,291046,294335,297481,300515,303407,306086,308723,311208,313676,316102,318366,320569,322763,324808,326790,328700,330586,332386,334071,335738,337361,339025,340577,341981,343332,344687,346001,347341,348612,349728,350836,351886,352947,353936,354970,355869,356793,357715,358593,359430,360232,360999,361745,362520,363257,363966,364677,365367,366025,366650,367272,367860,368398,368968,369503,370022,370510,371009,371477,371922,372366,372750,373198,373613,374043,374457,374881,375252,375614,375973,376335,376668,376983,
88790,0,0,5,79,386,1210,2838,5595,9372,14368,20243,27198,34646,42540,50643,59023,67408,75931,84379,92585,100622,108527,116290,123848,131074,138162,145141,151765,158091,164063,170027,175720,181103,186333,191336,196098,200766,205067,209339,213455,217325,221031,224865,228267,231597,234798,237963,240952,243783,246593,249231,251861,254428,256846,259148,261396,263565,265628,267645,269600,271445,273243,274990,276717,278338,279882,281362,282790,284241,285580,286883,288161,289447,290670,291789,292925,294026,295113,296122,297074,298075,298951,299851,300753,301545,302404,303230,304013,304757,305506,306191,306903,307585,308203,308795,309411,309963,310503,311052,311564,312082,312610,313102,313594,314057,314516,314971,315423,315849,316285,316700,317088,317467,317824,318170,318531,318854,319226,319539,
88800,0,0,2,24,198,766,1840,3757,6507,10204,14781,20085,26025,32451,39235,46095,53219,60463,67872,75010,82072,89115,95990,102645,109242,115656,121876,127844,133577,139163,144585,149915,154906,159856,164438,168943,173211,177376,181337,185222,188948,192522,195933,199208,202434,205443,208409,211257,213944,216514,219046,221533,223848,226202,228428,230519,232557,234520,236450,238356,240106,241786,243445,245131,246653,248177,249590,251047,252464,253748,255024,256271,257449,258650,259737,260766,261849,262778,263806,264761,265740,266667,267510,268369,269183,269988,270763,271507,272279,272990,273632,274349,274987,275618,276227,276787,277394,277945,278513,279054,279581,280044,280526,280980,281456,281942,282364,282771,283175,283562,283931,284305,284663,285044,285417,285780,286084,286375,286683,
88810,0,0,3,19,112,398,1040,2304,4232,6946,10310,14297,18913,23962,29299,35043,40812,46852,52830,58946,65089,71235,77100,82851,88618,94122,99629,104862,110092,115111,120013,124660,129141,133601,137910,141858,145730,149584,153318,156830,160379,163643,166834,169759,172770,175598,178366,181036,183589,186020,188405,190677,192917,195104,197149,199165,201157,202990,204853,206543,208175,209718,211376,212961,214459,215951,217307,218652,219942,221207,222407,223586,224735,225847,226918,227972,228942,229897,230825,231717,232571,233460,234290,235131,235925,236668,237428,238107,238837,239503,240235,240843,241534,242132,242737,243329,243899,244464,245012,245511,245997,246435,246907,247366,247825,248275,248662,249089,249470,249853,250222,250565,250945,251289,251623,251927,252246,252529,252814,
88820,0,0,0,4,42,174,532,1268,2504,4230,6603,9492,12905,16700,20862,25138,29782,34588,39731,44776,49903,54949,60020,65065,69839,74544,79313,84001,88502,92971,97283,101422,105428,109381,113177,116927,120481,123918,127246,130567,133686,136691,139559,142365,145120,147840,150349,152755,155093,157471,159672,161757,163711,165777,167765,169588,171439,173171,174909,176544,178117,179658,181157,182552,184024,185428,186740,187998,189252,190431,191561,192708,193787,194843,195860,196831,197780,198698,199525,200367,201205,202012,202824,203556,204283,204971,205689,206371,207049,207657,208302,208903,209515,210122,210705,211230,211808,212317,212812,213297,213786,214266,214716,215156,215590,215986,216386,216761,217154,217508,217898,218236,218587,218913,219246,219577,219864,220157,220432,
88830,0,0,0,0,14,82,271,669,1323,2417,3889,5833,8109,10830,13823,17090,20608,24233,28083,31984,36049,40011,44100,48096,52150,56188,60102,64058,67843,71645,75354,78888,82331,85601,88961,92114,95269,98275,101279,104148,106904,109548,112157,114693,117110,119515,121796,124017,126169,128272,130338,132246,134100,135829,137501,139219,140907,142470,144028,145572,146962,148364,149733,151030,152339,153555,154838,156003,157083,158200,159284,160421,161500,162490,163443,164370,165223,166065,166872,167726,168560,169297,170014,170778,171454,172074,172783,173407,174019,174666,175279,175885,176427,176948,177544,178064,178581,179066,179541,180013,180456,180880,181318,181723,182113,182517,182912,183275,183643,183988,184323,184663,184966,185291,185581,185899,186181,186474,186750,
88840,0,0,0,0,7,36,110,291,662,1263,2089,3189,4580,6232,8281,10542,12931,15523,18298,21223,24266,27399,30470,33638,36863,39994,43181,46343,49442,52485,55539,58545,61420,64273,66966,69613,72231,74828,77336,79827,82214,84559,86863,89078,91257,93310,95296,97228,99173,100954,102802,104492,106131,107752,109348,110869,112346,113716,115112,116515,117840,119120,120349,121469,122626,123724,124787,125844,126850,127827,128776,129713,130628,131549,132390,133266,134064,134849,135649,136382,137074,137776,138512,139162,139813,140419,141079,141697,142327,142947,143497,144049,144589,145091,145595,146070,146574,147038,147450,147856,148323,148766,149200,149581,149952,150326,150688,151061,151413,151763,152067,152363,152637,152913,153198,153502,153764,154061,154332,
88850,0,0,0,0,1,13,47,137,307,588,1027,1697,2591,3654,5018,6531,8216,10128,12115,14193,16348,18594,20985,23491,25877,28362,30854,33411,35953,38454,40895,43308,45653,47893,50247,52445,54663,56774,58897,60935,63041,64972,66896,68752,70565,72266,74001,75646,77246,78862,80398,81917,83340,84750,86110,87382,88691,89919,91104,92304,93453,94609,95701,96776,97841,98786,99760,100732,101649,102555,103463,104294,105125,105962,106746,107491,108270,109014,109731,110418,111050,111682,112313,112907,113528,114106,114671,115224,115761,116294,116784,117307,117752,118248,118711,119121,119568,119991,120389,120816,121220,121621,121984,122378,122719,123047,123384,123689,124006,124326,124626,124924,125212,125501,125786,126047,126294,126519,126747,
88860,0,0,0,0,0,2,14,43,110,237,488,809,1260,1857,2589,3427,4447,5627,6920,8407,9880,11446,13095,14727,16535,18311,20133,22006,23846,25591,27441,29223,30997,32845,34636,36453,38231,39979,41640,43284,44890,46564,48120,49668,51134,52593,54105,55459,56741,58050,59347,60633,61904,63158,64349,65474,66580,67716,68754,69795,70871,71846,72819,73756,74683,75523,76340,77216,78027,78784,79541,80312,81112,81813,82507,83145,83771,84374,85040,85652,86231,86800,87290,87831,88344,88835,89347,89847,90294,90736,91184,91649,92110,92532,92938,93355,93746,94115,94491,94826,95164,95542,95856,96201,96514,96813,97086,97375,97683,97976,98268,98514,98764,99021,99283,99509,99737,99962,100167,
88870,0,0,0,0,0,0,2,7,34,74,152,277,464,719,1073,1548,2076,2695,3393,4176,5059,5965,6920,7931,9032,10123,11316,12606,13828,15063,16309,17584,18906,20183,21432,22706,23979,25217,26438,27644,28818,30063,31231,32412,33569,34714,35874,36992,38109,39153,40138,41118,42058,42997,43955,44855,45715,46628,47485,48386,49158,49969,50757,51542,52281,53029,53725,54403,55091,55736,56430,57049,57639,58232,58816,59381,59943,60467,60949,61462,61947,62470,62960,63416,63843,64296,64684,65075,65475,65841,66203,66589,66936,67260,67606,67954,68281,68582,68869,69163,69481,69796,70060,70371,70656,70902,71125,71369,71594,71842,72059,72290,72500,72728,72928,73147,73333,73529,73707,
88880,0,0,0,0,0,0,0,1,3,15,31,51,103,192,334,482,667,878,1154,1510,1903,2353,2848,3366,3891,4466,5121,5753,6436,7093,7795,8468,9186,9933,10684,11419,12199,12953,13735,14453,15201,15950,16695,17465,18243,18951,19666,20426,21173,21850,22547,23244,23990,24642,25262,25911,26567,27168,27777,28315,28871,29464,29983,30561,31091,31619,32149,32632,33114,33584,34021,34462,34897,35334,35780,36188,36596,36960,37342,37746,38140,38505,38848,39195,39552,39886,40207,40531,40818,41142,41436,41732,42016,42295,42576,42831,43094,43334,43604,43846,44111,44328,44537,44765,44991,45221,45426,45602,45791,45974,46178,46360,46520,46691,46832,47001,47146,47305,47466,
88890,731,12978,49668,107784,176444,246561,315041,379371,437278,489857,537618,580943,619092,654044,685666,714179,740274,763939,785890,805836,823861,840603,856071,870527,883785,896099,907718,918320,928454,937917,946649,954780,962453,969502,976385,982745,988999,994683,1000156,1005346,1010082,1014665,1018959,1023026,1026927,1030695,1034270,1037659,1040939,1044052,1047120,1049932,1052575,1055148,1057690,1059987,1062327,1064421,1066438,1068393,1070266,1072078,1073802,1075504,1077082,1078564,1080086,1081515,1082908,1084200,1085448,1086635,1087856,1089000,1090065,1091134,1092172,1093119,1094064,1095022,1095808,1096653,1097451,1098258,1099044,1099799,1100523,1101234,1101907,1102538,1103206,1103769,1104359,1104894,1105460,1105989,1106501,1106988,1107472,1107907,1108380,1108825,1109233,1109652,1110036,1110438,1110812,1111165,1111508,1111869,1112207,1112510,1112820,1113143,1113436,1113734,1113974,1114247,1114522,
88900,90,3021,16192,43300,81842,126146,172790,218748,263279,305753,345223,381622,415248,446117,474824,501042,525259,547376,567904,587188,604660,621177,636308,650430,663532,675750,687248,698013,707972,717395,726358,734622,742534,749956,756872,763452,769733,775753,781448,786811,791916,796588,801134,805466,809642,813588,817346,820958,824430,827742,830834,833806,836628,839442,842050,844582,847037,849312,851480,853583,855602,857476,859384,861160,862867,864599,866230,867781,869232,870698,872056,873399,874702,875920,877154,878278,879385,880452,881548,882544,883518,884410,885320,886210,887066,887900,888693,889425,890166,890865,891543,892238,892852,893466,894110,894677,895297,895838,896359,896820,897331,897828,898283,898683,899127,899527,899929,900341,900715,901119,901496,901858,902205,902524,902842,903134,903425,903719,904026,
88910,26,1144,8004,24325,49496,81148,116716,153474,190282,225869,259494,291486,321505,349337,375342,399467,421865,442758,462077,480160,496958,512690,527349,540931,553566,565705,576978,587323,597254,606511,615409,623690,631446,638970,645898,652531,658749,664588,670271,675633,680667,685450,689999,694476,698610,702461,706244,709826,713257,716516,719693,722722,725638,728384,731083,733552,735953,738322,740509,742722,744723,746710,748617,750468,752246,754006,755661,757251,758746,760217,761660,763054,764377,765667,766910,768074,769214,770280,771327,772375,773360,774326,775255,776168,777009,777862,778681,779419,780234,780913,781627,782334,783003,783643,784295,784890,785514,786113,786673,787198,787747,788273,788761,789227,789680,790167,790592,791033,791427,791787,792165,792550,792894,793248,793599,793959,794290,794582,794901,
88920,3,371,3219,11660,26566,47411,72082,99135,127190,155464,183112,209521,234932,259028,281924,303357,323396,342333,360205,376658,392177,406712,420499,433350,445321,456609,467350,477491,486979,495925,504304,512178,519682,526865,533685,540141,546402,552176,557691,562943,567895,572605,577092,581397,585639,589614,593337,596995,600416,603597,606767,609793,612733,615466,618158,620660,623017,625272,627465,629620,631705,633747,635722,637620,639398,641037,642645,644256,645775,647242,648660,650039,651374,652650,653908,655047,656218,657388,658463,659532,660558,661569,662472,663372,664257,665067,665910,666739,667472,668234,668992,669698,670326,670985,671669,672261,672870,673425,673954,674514,675066,675606,676106,676598,677083,677529,677953,678372,678810,679202,679606,679959,680324,680671,681034,681386,681740,682052,682385,
88930,0,98,1046,4837,12500,24508,39960,57884,77583,98402,119019,139765,159673,179192,197947,215905,233040,249050,264508,278968,292700,305857,318150,329726,340520,350744,360535,369810,378577,386990,394919,402415,409750,416503,423030,429129,435025,440641,445870,450893,455767,460259,464426,468627,472679,476403,480114,483642,487000,490155,493221,496169,499002,501704,504269,506856,509312,511664,513914,515996,518109,520094,522056,523891,525673,527372,529038,530590,532094,533617,535051,536386,537720,539009,540194,541379,542513,543590,544685,545704,546734,547695,548612,549530,550388,551233,552080,552910,553698,554445,555132,555807,556469,557144,557749,558359,558979,559569,560133,560682,561194,561702,562198,562654,563172,563663,564102,564528,564939,565356,565755,566131,566509,566860,567229,567568,567908,568233,568549,
88940,0,43,573,2748,7725,16055,27380,41290,57124,73916,91165,108697,126066,143036,159637,175602,191007,205696,219675,233053,245713,257651,269124,280049,290350,300003,309161,317881,326317,334417,341924,349106,356077,362370,368450,374329,379782,385090,390104,394997,399651,404092,408265,412327,416155,419880,423453,426941,430208,433345,436319,439087,441881,444517,447106,449577,451931,454188,456336,458452,460502,462419,464320,466193,467948,469617,471212,472786,474238,475663,477116,478476,479784,481026,482270,483529,484733,485852,486958,487979,488957,489967,490909,491841,492756,493573,494353,495136,495949,496702,497439,498124,498797,499468,500096,500692,501283,501873,502471,502996,503540,504018,504493,504971,505410,505896,506331,506797,507242,507663,508044,508464,508842,509195,509547,509883,510198,510496,510826,
88950,0,24,248,1382,4426,9955,18030,28404,40224,53376,67442,81891,96400,110956,125080,138789,152157,165183,177775,189853,201305,212059,222475,232491,241781,250884,259441,267690,275321,282887,289879,296685,303191,309328,315141,320701,326022,331079,335882,340610,344993,349246,353347,357175,360880,364436,367823,371115,374312,377350,380273,383028,385674,388192,390683,392965,395258,397379,399492,401561,403627,405586,407397,409126,410836,412515,414113,415611,417075,418471,419814,421207,422426,423727,424928,426135,427236,428279,429310,430264,431223,432187,433149,434064,434993,435815,436626,437408,438111,438847,439576,440274,440925,441565,442207,442812,443444,444044,444627,445145,445690,446200,446697,447209,447650,448114,448571,448982,449413,449836,450235,450621,450979,451400,451738,452076,452384,452714,453008,
88960,0,5,120,737,2427,5798,10991,17950,26892,36645,47519,58805,70780,82398,94077,105789,117233,128547,139274,149622,159537,169038,178364,187297,195891,204141,211888,219305,226383,233191,239697,245999,251935,257614,263053,268331,273267,277964,282431,286859,291023,295127,298959,302567,306070,309609,312891,316050,318988,321844,324660,327393,330010,332479,334872,337109,339323,341477,343609,345643,347541,349374,351144,352863,354545,356092,357714,359190,360592,361958,363323,364607,365886,367108,368224,369319,370374,371454,372485,373507,374500,375395,376342,377211,378093,378914,379692,380504,381237,381893,382640,383341,384007,384678,385260,385874,386476,387053,387597,388114,388635,389149,389677,390142,390604,391044,391477,391864,392294,392685,393049,393456,393860,394201,394555,394927,395253,395582,395884,
88970,0,0,45,298,1168,2994,6175,10698,16616,23489,31221,39560,48380,57569,66923,76384,85760,95051,104046,112987,121466,129751,137729,145580,153026,160204,167089,173812,180110,186383,192355,198055,203451,208722,213578,218373,222929,227281,231480,235489,239358,243067,246674,250067,253381,256558,259616,262499,265252,267887,270554,273052,275477,277801,280053,282166,284263,286327,288180,290104,291901,293663,295304,296883,298434,299861,301328,302680,304048,305396,306693,307915,309147,310355,311542,312608,313657,314667,315658,316569,317455,318297,319129,319964,320786,321579,322380,323088,323800,324543,325211,325841,326464,327096,327703,328296,328871,329427,330001,330523,331061,331529,332007,332474,332909,333374,333769,334151,334570,334977,335363,335759,336085,336435,336721,337034,337359,337701,338018,
88980,0,0,12,131,641,1913,4096,7383,11654,17046,23143,30004,37245,44980,52825,60720,68708,76796,84661,92260,99876,107215,114262,121140,127924,134424,140684,146850,152737,158411,163724,168934,173844,178636,183297,187780,192085,196180,200165,203929,207648,211242,214560,217770,220812,223793,226717,229551,232344,234990,237540,240024,242320,244565,246779,248814,250846,252743,254611,256438,258169,259815,261408,263013,264610,266105,267487,268871,270146,271418,272664,273832,275021,276093,277189,278270,279323,280331,281301,282221,283094,283901,284732,285542,286324,287091,287822,288601,289319,289996,290646,291302,291937,292503,293099,293667,294263,294773,295282,295835,296324,296818,297281,297719,298178,298617,299045,299457,299844,300218,300591,300987,301332,301684,301996,302326,302665,303004,303287,
88990,0,0,7,74,345,1082,2439,4662,7819,11652,16354,21638,27457,33668,40072,46771,53588,60247,66991,73795,80298,86897,93073,99163,105039,110764,116485,121987,127349,132465,137330,142139,146685,151190,155409,159584,163602,167410,170968,174465,177849,181167,184271,187332,190161,192937,195644,198263,200737,203171,205488,207762,209919,212021,214103,216128,218033,219880,221617,223267,224908,226448,227980,229452,230884,232322,233673,235038,236332,237508,238691,239851,240998,242152,243187,244187,245150,246107,247014,247891,248782,249587,250443,251225,251967,252705,253407,254108,254774,255416,256094,256681,257304,257854,258409,258978,259537,260061,260526,261027,261529,261984,262445,262906,263330,263745,264155,264577,264939,265323,265671,266040,266370,266678,266961,267276,267592,267905,268205,
89000,0,0,3,33,162,565,1381,2758,4845,7529,10832,14794,19210,23975,29018,34277,39741,45232,50770,56408,62002,67645,72903,78216,83259,88212,93288,98010,102633,107156,111588,115952,120078,124043,127850,131617,135236,138778,142113,145455,148466,151531,154364,157125,159933,162613,165120,167609,169999,172230,174422,176559,178585,180547,182491,184284,185993,187696,189241,190789,192328,193807,195244,196655,198043,199362,200665,201965,203190,204384,205537,206592,207680,208777,209724,210583,211512,212416,213260,214105,214967,215748,216515,217315,218086,218800,219472,220119,220734,221376,222012,222598,223159,223695,224249,224812,225294,225821,226295,226765,227218,227656,228083,228491,228913,229307,229721,230113,230497,230849,231186,231536,231897,232244,232542,232835,233137,233426,233702,
89010,0,0,1,11,56,235,692,1471,2748,4533,6747,9490,12548,16131,19857,23999,28208,32607,37078,41492,45999,50502,55029,59452,63744,68025,72234,76261,80394,84284,88119,91822,95349,98971,102337,105596,108869,112029,114872,117803,120584,123207,125849,128386,130830,133143,135436,137618,139704,141761,143704,145626,147536,149342,151091,152827,154425,156065,157572,159141,160545,161917,163238,164598,165905,167176,168450,169590,170703,171798,172801,173767,174743,175708,176666,177591,178474,179323,180190,180959,181688,182436,183173,183844,184515,185166,185838,186447,187067,187686,188240,188819,189375,189933,190450,190927,191386,191882,192334,192793,193229,193684,194115,194532,194925,195280,195639,195997,196361,196693,196997,197331,197656,197952,198255,198569,198839,199130,199388,
89020,0,0,0,0,23,95,268,653,1355,2364,3753,5429,7525,9934,12484,15311,18391,21536,24863,28355,31785,35201,38555,42129,45591,49033,52434,55831,59112,62358,65466,68628,71539,74495,77270,80014,82757,85385,87942,90416,92911,95369,97624,99834,101951,104078,106058,108014,109936,111772,113535,115276,116945,118533,120168,121753,123187,124676,126031,127411,128757,129974,131206,132372,133465,134629,135704,136729,137726,138740,139705,140594,141539,142419,143295,144101,144914,145744,146521,147247,147965,148647,149349,150057,150697,151301,151900,152435,153007,153576,154136,154648,155128,155655,156114,156584,157049,157481,157882,158298,158711,159112,159502,159849,160208,160588,160956,161260,161578,161904,162241,162519,162818,163118,163399,163714,164015,164270,164514,
89030,0,0,0,0,5,44,121,320,682,1239,2043,3121,4476,5988,7732,9653,11805,14102,16524,19062,21668,24400,27131,29870,32577,35415,38122,40875,43414,46000,48576,51131,53603,56118,58448,60798,63192,65475,67652,69776,71893,73883,75884,77816,79645,81456,83274,85009,86684,88281,89817,91260,92722,94210,95620,97055,98382,99572,100809,101986,103177,104315,105386,106426,107490,108542,109524,110486,111409,112287,113212,114068,114920,115786,116594,117368,118120,118839,119506,120138,120776,121450,122100,122715,123277,123860,124428,124960,125500,125999,126500,127014,127495,127942,128361,128800,129262,129714,130117,130505,130868,131223,131583,131913,132251,132590,132915,133213,133498,133823,134084,134408,134685,134957,135212,135475,135742,136003,136247,
89040,0,0,0,0,1,7,37,113,252,529,906,1492,2195,3116,4123,5277,6610,8130,9745,11444,13235,15079,17009,18948,20985,22946,25026,27063,29130,31200,33200,35238,37186,39059,41045,42926,44718,46500,48235,49935,51651,53277,54933,56502,58010,59589,61043,62478,63906,65306,66611,67955,69219,70465,71630,72815,73929,75023,76137,77153,78179,79151,80077,81002,81909,82784,83627,84474,85281,86114,86884,87676,88392,89078,89778,90462,91153,91801,92444,93035,93637,94248,94800,95358,95898,96410,96910,97402,97928,98391,98852,99304,99758,100193,100612,100975,101352,101718,102093,102420,102764,103098,103434,103732,104038,104337,104619,104915,105208,105476,105729,105976,106217,106468,106673,106909,107136,107354,107563,
89050,0,0,0,0,0,0,10,30,96,178,332,563,855,1278,1776,2411,3134,3977,4878,5853,6941,8052,9282,10552,11850,13155,14459,15871,17240,18621,20049,21551,23034,24465,25893,27293,28701,30032,31340,32683,33967,35221,36492,37742,38971,40124,41306,42381,43467,44524,45542,46549,47520,48442,49405,50325,51267,52176,53011,53831,54693,55530,56291,57058,57751,58465,59159,59826,60507,61211,61871,62469,63132,63707,64280,64849,65402,65929,66456,66972,67477,67969,68422,68873,69305,69731,70157,70577,70972,71395,71787,72158,72553,72911,73289,73628,73934,74267,74573,74892,75190,75482,75757,76015,76253,76531,76784,77011,77230,77476,77696,77920,78146,78325,78559,78774,78991,79223,79411,
89060,0,0,0,0,0,0,0,3,8,21,60,121,215,345,510,754,1041,1387,1782,2226,2710,3241,3831,4443,5069,5771,6542,7309,8043,8840,9647,10445,11313,12117,12990,13844,14689,15521,16337,17178,18011,18789,19594,20418,21169,21970,22767,23540,24290,25039,25765,26514,27214,27904,28622,29239,29859,30523,31172,31765,32415,32979,33563,34170,34745,35293,35846,36386,36895,37397,37876,38333,38760,39212,39654,40061,40433,40828,41222,41628,42015,42373,42731,43081,43439,43774,44105,44429,44739,45057,45365,45680,45974,46268,46520,46801,47088,47344,47580,47832,48086,48299,48496,48736,48919,49132,49315,49527,49734,49916,50100,50313,50478,50639,50785,50952,51103,51257,51411,
89075,2452,25694,78249,148390,223198,297231,365436,427751,483627,533952,578812,618872,654947,687160,716350,742709,766642,788827,809119,827471,844306,859838,874218,887337,899492,910795,921472,931366,940593,949195,957226,964568,971626,978401,984676,990733,996381,1001764,1006852,1011538,1015997,1020285,1024405,1028236,1032029,1035548,1038926,1042105,1045045,1047879,1050668,1053381,1055976,1058356,1060603,1062814,1064919,1066939,1068844,1070696,1072445,1074125,1075811,1077379,1078830,1080293,1081622,1082962,1084291,1085542,1086708,1087850,1088956,1090051,1091104,1092098,1093081,1094007,1094905,1095799,1096641,1097429,1098237,1099021,1099803,1100473,1101119,1101749,1102382,1102970,1103552,1104138,1104731,1105275,1105803,1106312,1106797,1107284,1107758,1108228,1108676,1109112,1109504,1109911,1110292,1110700,1111046,1111421,1111753,1112069,1112396,1112697,1113000,1113293,1113603,1113867,1114144,1114396,1114653,
89080,405,7396,29833,67279,113871,163608,213788,261396,306468,348324,386940,422396,454785,484078,511364,536166,559020,580011,599582,617416,633977,649174,663206,676409,688746,700204,710945,720830,730028,738979,747391,755235,762550,769440,776152,782312,788130,793763,798952,803904,808718,813241,817604,821729,825739,829430,832979,836359,839558,842568,845582,848431,851117,853762,856219,858659,860894,863123,865181,867125,869006,870791,872500,874176,875819,877452,878904,880352,881701,883035,884365,885591,886806,887984,889121,890266,891327,892411,893386,894365,895309,896193,896973,897772,898605,899399,900173,900905,901615,902245,902908,903501,904097,904696,905303,905883,906432,906938,907423,907949,908436,908903,909356,909800,910217,910624,911013,911391,911753,912102,912482,912821,913141,913495,913800,914123,914420,914726,915047,
89090,124,3179,15781,40163,72696,110656,150262,189904,228189,264309,298396,329916,358948,385934,411313,434707,456007,475741,494404,511760,527705,542613,556350,569293,581310,592467,603034,612994,622314,631044,639304,647279,654587,661542,668066,674361,680134,685703,691037,696153,700983,705556,709874,714038,717996,721703,725309,728622,731872,734970,737897,740725,743413,745996,748509,750930,753306,755547,757620,759692,761700,763567,765335,767045,768745,770438,771953,773424,774863,776217,777550,778811,780066,781273,782432,783506,784628,785648,786649,787632,788605,789512,790336,791138,791992,792779,793593,794342,795009,795731,796416,797071,797720,798390,798972,799514,800090,800580,801149,801671,802175,802647,803073,803535,803955,804388,804799,805218,805603,806005,806380,806685,807022,807352,807689,808013,808306,808611,808912,
89100,32,1199,7380,21127,41958,68486,97899,128373,158958,189013,217597,244722,270044,294315,316754,337708,357064,375433,392758,408782,423607,437600,450780,463123,474714,485513,495629,505190,514137,522606,530676,538308,545550,552287,558701,564678,570489,576076,581380,586317,591011,595477,599751,603893,607770,611472,615062,618500,621716,624836,627762,630671,633379,636008,638529,640959,643197,645454,647651,649680,651595,653467,655337,657046,658772,660457,662067,663590,665046,666456,667819,669063,670344,671511,672711,673828,674893,675924,676919,677934,678865,679800,680633,681517,682377,683219,684003,684824,685573,686255,686970,687603,688271,688847,689472,690066,690640,691192,691750,692275,692812,693290,693793,694283,694756,695262,695733,696175,696585,696997,697370,697730,698078,698418,698740,699034,699375,699687,699983,
89110,1,320,2644,9360,21047,37581,57146,78524,101031,123641,145947,167804,188689,208784,227718,245736,262946,278904,294271,308660,321918,334829,346863,358133,368819,378937,388610,397705,406155,414266,421940,429192,436179,442703,448807,454673,460191,465505,470618,475423,480066,484404,488622,492773,496529,500043,503441,506721,509938,512946,515867,518693,521374,524018,526535,528884,531126,533367,535485,537438,539360,541261,543070,544818,546446,548075,549655,551181,552589,554014,555405,556721,557986,559229,560398,561530,562652,563741,564773,565771,566734,567685,568593,569501,570307,571171,571996,572741,573518,574273,574970,575667,576373,577010,577619,578218,578783,579293,579829,580368,580823,581286,581794,582262,582662,583097,583530,583971,584380,584767,585173,585527,585888,586239,586612,586945,587270,587546,587842,
89120,1,170,1521,5688,13833,25693,40717,57915,76248,95519,114810,133586,151908,169830,186905,203127,218541,233307,247220,260460,273027,284977,296104,306596,316783,326233,335324,343787,351931,359478,366944,373838,380470,386753,392674,398309,403766,409003,414028,418577,423039,427277,431397,435288,439035,442562,446074,449313,452454,455347,458205,460919,463594,466115,468637,471086,473349,475495,477567,479610,481544,483438,485126,486767,488488,490088,491637,493166,494569,495973,497279,498639,499893,501146,502272,503419,504489,505509,506551,507560,508512,509467,510393,511310,512159,512967,513752,514535,515315,516066,516737,517405,518038,518667,519343,519965,520574,521137,521717,522235,522746,523276,523776,524229,524664,525070,525523,525938,526342,526742,527155,527522,527882,528236,528537,528867,529219,529523,529798,
89130,1,56,727,3225,8500,16817,27906,40793,55231,70553,86258,102250,118101,133544,148345,162824,176600,189822,202403,214573,225970,237006,247439,257286,266784,275705,284056,291927,299502,306759,313706,320143,326399,332256,338045,343425,348621,353658,358377,362826,367120,371114,375075,378838,382443,385916,389181,392292,395302,398291,401079,403742,406302,408766,411254,413519,415707,417808,419815,421838,423754,425556,427290,428950,430599,432219,433734,435168,436638,438058,439373,440614,441863,443067,444219,445350,446438,447507,448539,449514,450480,451433,452347,453223,454072,454893,455662,456438,457159,457918,458604,459268,459892,460548,461154,461710,462293,462838,463374,463901,464422,464934,465430,465899,466328,466776,467226,467667,468084,468467,468866,469238,469591,469926,470283,470620,470925,471268,471563,
89140,0,17,324,1635,4810,10045,17602,27100,37887,49900,62495,75194,88062,100773,113514,125804,137723,149269,160567,171199,181362,191382,200797,209719,218261,226253,234017,241475,248395,255115,261582,267701,273523,279007,284351,289552,294323,298942,303358,307615,311635,315694,319468,323043,326516,329805,332880,335873,338746,341563,344302,346933,349456,351841,354168,356381,358405,360546,362459,364264,366135,367841,369573,371250,372908,374434,375922,377395,378729,380055,381351,382649,383884,384993,386137,387227,388251,389244,390266,391203,392220,393101,393961,394798,395592,396418,397198,397953,398651,399334,400018,400669,401337,401958,402589,403202,403783,404326,404852,405365,405866,406360,406854,407351,407787,408208,408642,409036,409425,409827,410201,410582,410943,411283,411612,411974,412303,412626,412928,
89150,0,5,106,689,2285,5372,10119,16316,23828,32510,41749,51479,61552,71796,82052,92308,102368,112177,121626,130830,139723,148198,156335,164358,171988,179110,186043,192684,199014,205142,210963,216459,221834,226983,231951,236620,241157,245454,249567,253466,257308,260927,264466,267882,271130,274197,277143,279980,282747,285388,287913,290277,292583,294822,296999,299161,301191,303166,305021,306842,308653,310391,312020,313584,315048,316511,317965,319308,320678,321991,323179,324412,325569,326722,327816,328848,329795,330835,331805,332737,333700,334564,335408,336219,337050,337842,338592,339287,340019,340722,341374,342039,342683,343254,343850,344418,344968,345494,346030,346537,347060,347560,348029,348447,348888,349277,349718,350094,350483,350839,351189,351526,351878,352227,352543,352847,353184,353479,353787,
89160,0,0,42,347,1367,3445,6823,11531,17357,24154,31649,39912,48282,56894,65566,74391,83125,91747,100148,108394,116288,123819,131218,138452,145377,152178,158555,164708,170452,175992,181515,186616,191556,196294,200892,205259,209566,213552,217399,221309,224936,228387,231722,234909,237969,240919,243810,246572,249183,251782,254197,256586,258956,261152,263322,265344,267258,269119,270990,272696,274353,276035,277634,279197,280711,282167,283559,284915,286311,287498,288676,289867,290983,292003,293050,294058,295065,296002,296965,297846,298710,299578,300421,301171,301913,302654,303392,304095,304783,305475,306138,306765,307409,308008,308571,309113,309659,310191,310660,311156,311674,312114,312554,313007,313424,313820,314244,314627,315023,315406,315719,316073,316431,316747,317066,317370,317693,317975,318292,
89170,0,2,25,202,803,2154,4469,7850,12239,17349,23137,29481,36381,43450,50691,58283,65730,73026,80384,87518,94374,101204,107849,114283,120441,126391,132201,137810,143223,148340,153253,158003,162650,167121,171305,175513,179423,183218,186800,190253,193625,196812,199874,202917,205689,208388,211050,213640,216097,218550,220842,223026,225209,227260,229201,231121,233024,234774,236492,238213,239763,241273,242763,244177,245576,246947,248304,249588,250827,251996,253212,254364,255505,256562,257648,258662,259653,260658,261590,262432,263274,264084,264861,265633,266419,267138,267828,268538,269214,269829,270463,271058,271619,272211,272778,273294,273866,274376,274895,275362,275865,276308,276749,277158,277578,278000,278381,278793,279170,279558,279909,280287,280604,280949,281258,281581,281890,282221,282497,
89180,0,0,10,91,392,1185,2611,4846,7800,11573,15908,20671,26085,31590,37439,43506,49635,55666,61794,67944,73882,79647,85383,90908,96382,101712,106836,111862,116703,121309,125758,130161,134206,138016,141793,145472,149082,152653,156106,159310,162376,165428,168357,171144,173840,176381,178978,181332,183701,186030,188190,190291,192369,194345,196236,198029,199775,201461,203106,204659,206257,207765,209248,210634,211980,213293,214594,215786,216923,218130,219250,220349,221436,222378,223449,224331,225229,226115,226988,227813,228571,229320,230109,230810,231534,232247,232939,233609,234266,234862,235469,236051,236654,237244,237778,238286,238765,239267,239756,240199,240631,241071,241486,241903,242321,242704,243117,243479,243831,244203,244560,244908,245237,245559,245841,246130,246428,246690,246980,
89190,0,0,3,32,170,556,1395,2689,4639,7099,10020,13561,17479,21689,26190,30783,35669,40547,45603,50582,55280,60017,64722,69545,74229,78698,83096,87281,91452,95629,99572,103436,107141,110642,113979,117374,120672,123698,126862,129738,132529,135291,137981,140495,142934,145295,147622,149822,151936,154025,156019,157930,159742,161490,163231,164954,166592,168134,169717,171148,172608,173990,175328,176622,177858,179040,180253,181344,182455,183454,184569,185545,186540,187502,188375,189265,190140,190957,191737,192507,193291,194008,194723,195440,196134,196823,197483,198072,198685,199238,199850,200402,200960,201462,201957,202480,203002,203460,203914,204343,204756,205193,205587,206000,206430,206801,207158,207501,207855,208192,208544,208880,209181,209472,209752,210072,210337,210587,210824,
89200,0,0,0,11,65,233,617,1356,2432,3957,5799,8029,10695,13702,16903,20243,23810,27504,31408,35291,39094,42903,46704,50456,54265,57898,61474,65102,68540,72041,75415,78545,81752,84826,87885,90697,93471,96197,98855,101415,103932,106387,108671,110870,113073,115210,117345,119371,121295,123139,124995,126760,128417,130041,131682,133201,134683,136102,137512,138886,140179,141465,142644,143856,144998,146109,147198,148216,149230,150235,151153,152102,152993,153911,154720,155510,156280,157000,157736,158473,159188,159829,160456,161125,161777,162426,163015,163573,164108,164694,165247,165755,166252,166775,167245,167703,168141,168565,169022,169486,169911,170261,170665,171014,171360,171713,172067,172413,172748,173093,173401,173702,174016,174328,174603,174900,175154,175427,175654,
89210,0,0,0,2,16,88,284,626,1214,2091,3286,4699,6382,8329,10567,13034,15585,18354,21159,24136,27037,29983,32997,36022,38915,41945,44993,47952,50753,53661,56412,59098,61667,64242,66747,69271,71599,73939,76204,78419,80561,82636,84676,86652,88531,90329,92159,93815,95472,97140,98740,100303,101797,103283,104748,106089,107408,108660,109880,111102,112252,113424,114538,115635,116719,117707,118656,119652,120578,121479,122426,123254,124065,124834,125629,126359,127066,127788,128512,129186,129821,130461,131068,131690,132272,132883,133492,134048,134565,135079,135589,136037,136537,136970,137418,137843,138254,138685,139066,139419,139807,140188,140548,140883,141199,141508,141824,142114,142412,142715,143002,143295,143593,143884,144142,144401,144629,144848,145082,
89220,0,0,0,0,3,23,85,230,477,883,1508,2309,3347,4503,5856,7428,9130,10902,12848,14846,16908,19084,21340,23548,25748,27920,30186,32445,34660,36839,39004,41194,43350,45399,47461,49436,51308,53190,55035,56774,58526,60253,61943,63637,65285,66831,68375,69848,71298,72797,74131,75441,76700,77938,79072,80259,81426,82599,83694,84726,85750,86760,87746,88665,89600,90466,91307,92110,92957,93733,94512,95323,96056,96768,97451,98151,98795,99393,99986,100619,101211,101810,102312,102821,103348,103875,104367,104872,105359,105812,106298,106732,107148,107548,107930,108356,108737,109139,109508,109848,110186,110541,110866,111176,111466,111770,112073,112388,112663,112930,113228,113460,113696,113934,114171,114408,114638,114852,115078,
89230,0,0,0,0,0,8,19,72,164,324,577,886,1364,1941,2609,3387,4394,5421,6532,7714,8946,10280,11613,13097,14608,16076,17606,19047,20605,22177,23737,25292,26804,28349,29932,31468,32966,34398,35787,37138,38527,39857,41140,42343,43623,44822,46038,47155,48302,49440,50563,51585,52646,53662,54582,55538,56504,57423,58330,59220,60082,60891,61727,62513,63227,63971,64657,65350,66067,66722,67387,68004,68605,69226,69827,70403,70965,71527,72045,72582,73051,73540,73986,74430,74929,75379,75817,76202,76596,76967,77340,77699,78054,78420,78772,79095,79421,79756,80076,80368,80687,81000,81284,81572,81828,82093,82348,82601,82859,83105,83343,83560,83771,84003,84229,84451,84665,84852,85030,
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89260,1130,13612,44816,90501,143088,197013,248945,297550,342139,383022,420566,454864,486181,514558,540331,564134,586094,606214,624684,641525,657296,671729,685041,697445,709030,720000,730064,739573,748553,756932,764909,772240,779183,785724,791871,797740,803290,808586,813652,818357,822877,827176,831393,835198,838966,842528,845925,849076,852235,855190,857978,860563,863051,865458,867734,869931,872107,874158,876101,877998,879772,881562,883305,884904,886491,887983,889480,890954,892235,893577,894876,896030,897197,898384,899446,900541,901569,902548,903453,904374,905287,906131,906910,907694,908448,909173,909914,910616,911264,911914,912559,913113,913723,914293,914839,915408,915930,916453,916909,917375,917822,918238,918650,919063,919459,919865,920254,920620,920973,921325,921662,921981,922329,922639,922951,923243,923513,923799,924067,
89270,380,6476,25472,56872,95754,138183,181022,222359,261646,298567,332381,363603,392268,418861,443226,465697,486599,505794,523505,539811,555185,569226,582377,594769,606173,616917,626768,636260,645104,653539,661420,668942,675930,682450,688663,694595,700127,705330,710301,715017,719549,723745,728010,731932,735747,739236,742648,745901,748965,751949,754806,757595,760219,762820,765145,767465,769641,771738,773788,775735,777648,779475,781256,782864,784455,786052,787491,788919,790324,791652,792892,794130,795314,796429,797551,798642,799689,800692,801667,802635,803504,804408,805207,806019,806816,807602,808360,809051,809729,810403,811033,811653,812265,812821,813364,813887,814467,815018,815520,815975,816431,816898,817390,817807,818221,818593,819029,819416,819823,820192,820535,820903,821193,821516,821816,822130,822422,822718,823006,
89280,103,2634,12515,31724,58199,88859,121422,154334,186681,217297,246455,273826,299300,323615,345714,366411,385685,403440,420124,435514,449753,463151,475882,487754,498815,509325,519039,528086,536517,544749,552515,559790,566725,573281,579341,585136,590760,595998,601074,605807,610352,614660,618684,622625,626392,629990,633336,636575,639728,642769,645631,648291,650907,653355,655663,657921,660099,662198,664323,666264,668141,669916,671667,673369,675042,676570,678038,679530,680975,682303,683581,684857,686095,687259,688411,689498,690541,691600,692597,693566,694492,695378,696223,697018,697812,698612,699363,700037,700774,701454,702145,702773,703439,704068,704598,705162,705738,706273,706807,707306,707785,708269,708719,709177,709565,710000,710408,710846,711252,711637,712023,712373,712712,713067,713386,713683,714019,714315,714608,
89290,17,848,5177,15137,30846,50914,73686,97764,122281,146240,169642,192082,213347,233563,252918,270888,287807,304019,318792,332857,345991,358345,370042,381044,391168,400878,410018,418876,427100,434778,442133,448989,455746,462051,468020,473609,479007,484042,488988,493638,498048,502252,506296,510153,513844,517447,520809,523988,527050,530056,532877,535604,538218,540691,543154,545348,547556,549629,551694,553740,555739,557573,559309,561024,562647,564225,565758,567253,568647,570005,571281,572527,573766,574991,576089,577162,578220,579198,580200,581248,582201,583102,584012,584818,585629,586363,587123,587883,588644,589343,589971,590588,591224,591830,592423,592998,593576,594130,594643,595145,595646,596101,596559,597039,597483,597880,598284,598688,599097,599461,599852,600210,600577,600934,601253,601579,601916,602235,602529,
89300,5,388,2859,9523,20851,36199,54279,74150,94638,115465,135723,155716,174989,193343,210692,227189,243005,257692,271485,284656,296966,308628,319759,330151,339970,349416,358137,366482,374529,382126,389320,396080,402403,408517,414290,419778,425000,430058,434744,439387,443748,447904,451857,455666,459443,462997,466350,469540,472541,475397,478137,480788,483268,485682,488069,490321,492481,494543,496507,498413,500277,502059,503771,505472,507196,508777,510276,511753,513143,514494,515827,517105,518271,519377,520474,521580,522621,523639,524654,525655,526600,527484,528395,529252,530041,530822,531522,532265,532989,533686,534316,534979,535603,536222,536796,537367,537927,538458,539007,539504,539997,540451,540918,541350,541769,542205,542608,543030,543412,543786,544150,544488,544856,545218,545522,545850,546182,546487,546781,
89310,3,191,1601,5601,13148,24149,37908,53339,70088,87442,104856,121955,138550,154647,169783,184547,198715,212268,225052,236982,248413,259429,269617,279469,288761,297486,305862,313862,321416,328519,335180,341643,347746,353524,358988,364250,369272,373989,378496,382900,387032,391003,394869,398640,402244,405618,408781,411802,414758,417703,420453,423018,425511,427900,430272,432452,434642,436718,438697,440515,442363,444173,445940,447566,449176,450738,452186,453591,454932,456260,457592,458862,460076,461253,462364,463445,464454,465471,466496,467459,468348,469249,470092,470889,471688,472467,473188,473972,474689,475431,476076,476712,477374,477965,478545,479127,479643,480212,480729,481253,481724,482170,482618,483092,483520,483966,484371,484743,485091,485470,485847,486180,486540,486867,487199,487535,487868,488182,488483,
89320,0,67,713,2997,7735,15202,25159,36791,49472,63047,76869,90962,104800,118546,131670,144384,156579,168507,179685,190644,201229,211364,220835,229687,238114,246340,254107,261346,268495,275258,281673,287805,293446,298850,304107,309080,313819,318452,322842,326980,330895,334750,338341,341760,345118,348337,351493,354450,357334,360038,362594,365134,367520,369901,372187,374314,376352,378355,380301,382194,384006,385706,387425,389034,390544,392041,393489,394845,396182,397527,398707,399837,401005,402090,403189,404244,405261,406318,407313,408224,409171,410035,410938,411725,412500,413295,414086,414861,415540,416209,416869,417513,418115,418728,419317,419876,420430,420963,421484,422011,422493,422992,423454,423906,424297,424692,425064,425495,425908,426291,426680,427055,427385,427679,428023,428329,428661,429000,429301,
89330,0,20,297,1458,4133,8583,14908,22868,32144,42365,53302,64211,75313,86348,97285,107950,118391,128457,138303,147911,157047,165794,174014,182026,189637,196909,203967,210589,216975,223048,228965,234545,239911,244988,249807,254429,258883,263151,267209,271057,274819,278438,281889,285146,288325,291238,294193,296925,299618,302231,304750,307194,309596,311821,314017,316121,318062,319992,321787,323582,325348,327036,328651,330234,331691,333146,334491,335812,337105,338372,339567,340725,341883,342997,344073,345173,346202,347195,348078,348931,349814,350665,351483,352304,353123,353886,354623,355319,356010,356679,357302,357936,358539,359114,359631,360206,360773,361283,361813,362306,362789,363246,363714,364156,364587,364972,365396,365797,366196,366521,366866,367234,367570,367909,368239,368536,368849,369154,369457,
89340,1,11,158,787,2521,5585,10217,16329,23579,31891,40646,49912,59299,68688,78060,87324,96549,105430,114208,122639,130844,138781,146279,153656,160636,167386,174024,180237,186047,191803,197230,202550,207605,212415,217069,221408,225708,229740,233595,237349,240801,244182,247450,250664,253625,256479,259287,261959,264596,267128,269542,271954,274190,276278,278334,280349,282230,284112,285925,287566,289222,290830,292449,293968,295422,296830,298207,299559,300818,302060,303272,304475,305603,306667,307741,308712,309666,310605,311536,312453,313328,314180,315016,315816,316595,317377,318041,318692,319359,319970,320596,321235,321858,322416,323005,323521,324067,324570,325054,325561,325990,326455,326910,327323,327734,328131,328537,328910,329248,329612,329947,330277,330613,330915,331218,331535,331832,332128,332419,
89350,0,4,68,424,1454,3443,6699,11123,16591,22910,29898,37424,45025,52758,60911,68843,76827,84721,92459,99931,107093,114064,120827,127522,133862,140023,146016,151783,157177,162540,167490,172256,176876,181246,185478,189561,193573,197365,201051,204535,207892,211063,214090,217110,219942,222711,225435,228020,230483,232921,235274,237479,239646,241664,243665,245615,247398,249183,250844,252461,254049,255604,257069,258513,259919,261258,262508,263813,265020,266175,267330,268454,269557,270567,271618,272584,273494,274365,275190,276038,276902,277715,278477,279226,279964,280695,281343,282057,282724,283313,283925,284525,285077,285694,286279,286802,287289,287743,288217,288669,289119,289587,290054,290491,290883,291310,291696,292057,292439,292803,293173,293518,293822,294155,294454,294738,295028,295308,295591,
89360,0,1,27,186,715,1952,3914,6940,10872,15655,20959,26736,32839,39248,45835,52281,58809,65420,71903,78354,84675,90733,96514,102389,108039,113668,119040,124029,128919,133613,138207,142431,146679,150634,154666,158543,162282,165769,169155,172390,175516,178519,181373,184226,186907,189424,191875,194248,196645,198955,201186,203275,205304,207211,209030,210875,212633,214299,215886,217342,218838,220271,221681,223095,224428,225732,226987,228195,229352,230544,231603,232664,233668,234634,235625,236567,237431,238287,239147,239969,240759,241507,242226,242965,243646,244371,245058,245726,246356,246975,247531,248129,248682,249241,249726,250285,250797,251288,251763,252229,252705,253121,253527,253922,254300,254645,255008,255399,255783,256140,256463,256791,257140,257450,257756,258082,258370,258648,258891,
89370,0,0,11,79,344,1010,2198,4100,6645,9820,13544,17642,22357,27105,32362,37475,42804,48113,53459,58815,63984,69274,74300,79216,84031,88712,93315,97804,102169,106340,110241,114042,117776,121418,125005,128311,131668,134829,137863,140721,143660,146336,149050,151512,153930,156377,158686,160969,163110,165184,167129,169019,170867,172639,174352,176044,177658,179226,180721,182149,183557,184975,186308,187589,188836,189981,191176,192399,193520,194579,195616,196608,197547,198529,199438,200315,201128,201968,202782,203554,204290,205048,205732,206451,207137,207782,208442,209040,209659,210233,210731,211295,211828,212373,212877,213387,213860,214352,214783,215220,215638,216062,216496,216879,217257,217641,218004,218341,218648,218976,219291,219600,219914,220182,220488,220770,221071,221301,221549,
89380,0,0,2,20,133,418,1070,2084,3598,5591,7986,10787,14005,17392,21030,24940,28973,33134,37367,41454,45636,49877,54034,58076,62016,65963,69732,73396,76976,80555,84009,87416,90672,93743,96879,99788,102683,105400,108065,110614,113182,115655,118052,120319,122481,124641,126740,128699,130625,132428,134255,135928,137584,139155,140721,142261,143716,145150,146566,147866,149178,150442,151674,152839,153991,155125,156234,157235,158184,159200,160166,161066,161999,162840,163683,164491,165284,166009,166721,167458,168122,168811,169477,170136,170741,171338,171901,172487,173053,173562,174116,174641,175125,175615,176084,176570,177021,177449,177888,178302,178700,179099,179470,179835,180215,180553,180885,181204,181576,181902,182221,182478,182764,183060,183354,183635,183908,184153,184377,
89390,0,0,1,7,46,164,483,1030,1888,3115,4688,6590,8720,11118,13750,16545,19469,22437,25629,28882,32163,35368,38570,41745,45063,48287,51415,54403,57368,60284,63174,65998,68713,71408,73969,76454,78868,81341,83650,85875,88104,90181,92190,94216,96230,98081,99984,101711,103455,105160,106798,108385,109887,111342,112799,114180,115561,116906,118166,119391,120564,121720,122830,123873,124904,125968,126982,127941,128892,129817,130698,131597,132447,133224,133961,134719,135449,136149,136886,137534,138204,138780,139460,140067,140687,141242,141831,142354,142849,143316,143818,144336,144803,145274,145708,146151,146553,146955,147358,147753,148116,148471,148828,149204,149522,149828,150121,150428,150757,151069,151374,151671,151961,152239,152502,152782,153022,153242,153455,
89400,0,0,0,2,14,54,161,411,834,1449,2310,3383,4621,6102,7794,9593,11620,13799,15930,18249,20538,22958,25324,27767,30244,32671,35109,37451,39751,42028,44343,46521,48684,50867,52946,54978,56926,58946,60793,62635,64458,66233,67981,69643,71342,72967,74531,76075,77573,79063,80448,81795,83105,84347,85574,86763,87860,89017,90115,91240,92340,93320,94304,95218,96101,96976,97830,98637,99503,100327,101117,101923,102686,103472,104189,104830,105480,106126,106757,107325,107908,108512,109053,109638,110182,110739,111248,111757,112218,112690,113148,113560,113974,114373,114752,115136,115519,115895,116288,116651,116991,117289,117587,117904,118224,118514,118817,119094,119394,119649,119904,120147,120398,120620,120867,121103,121337,121551,121764,
89410,0,0,0,0,2,7,40,112,277,488,841,1327,1938,2669,3584,4623,5721,6946,8254,9710,11160,12744,14287,15841,17490,19117,20799,22482,24153,25793,27461,29211,30882,32500,34091,35646,37265,38729,40243,41635,43014,44356,45733,47028,48358,49644,50879,52118,53248,54392,55541,56593,57626,58598,59540,60553,61521,62370,63274,64189,65060,65904,66723,67543,68307,69053,69785,70512,71219,71909,72600,73189,73806,74449,75040,75642,76159,76678,77204,77737,78223,78715,79219,79691,80087,80531,80980,81395,81813,82191,82588,82983,83345,83686,83991,84323,84626,84946,85268,85551,85880,86174,86462,86767,87023,87299,87565,87828,88062,88305,88546,88765,88997,89222,89425,89601,89790,89982,90184,
89420,0,0,0,0,0,1,7,22,46,100,198,359,567,833,1174,1561,2047,2606,3214,3942,4683,5459,6273,7124,7969,8863,9765,10744,11711,12719,13709,14678,15695,16668,17664,18617,19634,20612,21590,22554,23497,24455,25376,26313,27179,28088,28968,29794,30620,31473,32258,33052,33811,34552,35269,36019,36700,37402,38046,38700,39326,39939,40536,41161,41765,42338,42948,43503,44038,44540,45045,45534,46032,46482,46888,47343,47780,48163,48572,48991,49379,49775,50164,50509,50819,51152,51508,51844,52160,52498,52792,53089,53369,53674,53964,54234,54471,54719,54954,55200,55436,55667,55915,56153,56360,56551,56758,56951,57153,57376,57550,57721,57873,58042,58199,58366,58518,58690,58849,
894347,10100,58833,135241,219533,301547,375884,442130,500792,552317,598312,638761,674672,706592,735606,761446,784949,806185,825572,843533,859489,874422,888022,900665,912315,923188,933236,942516,951097,959451,967158,974385,981299,987691,993714,999415,1004753,1009783,1014734,1019313,1023627,1027652,1031551,1035382,1038817,1042156,1045252,1048265,1051095,1053824,1056426,1058991,1061391,1063726,1065858,1067904,1069744,1071669,1073519,1075236,1077002,1078655,1080222,1081722,1083155,1084525,1085852,1087142,1088384,1089530,1090662,1091776,1092811,1093860,1094833,1095826,1096774,1097698,1098561,1099358,1100190,1100960,1101700,1102419,1103108,1103815,1104446,1105056,1105662,1106260,1106811,1107315,1107843,1108376,1108869,1109368,1109858,1110321,1110815,1111240,1111641,1112048,1112418,1112800,1113175,1113499,1113857,1114170,1114501,1114809,1115103,1115407,1115690,1115956,1116243,1116518,1116783,1117044,1117293,1117530,
89443,2445,21271,61291,114092,170944,227260,280548,329615,374435,415121,451738,484891,515008,542255,567004,589740,610473,629472,647058,663239,678288,691990,704882,716760,727891,738232,747907,756917,765420,773394,781005,788028,794498,800858,806829,812420,817545,822649,827508,832055,836407,840490,844328,847986,851475,854812,857987,861065,863977,866892,869560,872124,874566,876942,879219,881392,883477,885427,887304,889143,890834,892548,894086,895590,897132,898622,899992,901332,902596,903850,905125,906246,907290,908384,909456,910525,911431,912364,913283,914112,914957,915753,916601,917371,918144,918835,919530,920211,920850,921457,922098,922658,923228,923773,924316,924822,925334,925800,926250,926710,927142,927569,928003,928407,928807,929167,929536,929893,930228,930549,930850,931176,931454,931746,932024,932282,932567,932848,933126,
89450,863,10951,36503,74493,118455,164196,209209,251747,291330,327835,361412,391877,420112,446277,469838,491396,511312,529941,546861,562565,577271,591010,603592,615452,626513,636682,646308,655508,664017,672045,679595,686732,693375,699776,705630,711248,716496,721573,726338,730823,735186,739375,743278,746938,750550,753979,757257,760359,763357,766195,768986,771567,774114,776461,778726,780968,783073,785150,787073,788905,790680,792369,793984,795638,797240,798727,800106,801452,802735,804054,805257,806482,807636,808738,809771,810797,811771,812724,813610,814479,815387,816226,817014,817884,818668,819434,820160,820859,821518,822120,822712,823310,823898,824454,824978,825534,826038,826505,826982,827431,827870,828295,828773,829142,829568,829930,830316,830691,831048,831409,831725,832074,832415,832704,833013,833309,833588,833864,834147,
89460,264,4736,19068,43744,74554,108885,144233,179045,212345,243873,273203,300535,325991,349630,371485,391672,410358,427805,443898,459026,472927,486163,498441,509665,520533,530536,539880,548752,557240,565170,572626,579663,586313,592583,598607,604165,609581,614631,619360,623957,628510,632636,636532,640287,643869,647387,650614,653762,656728,659599,662423,664990,667488,669926,672319,674539,676573,678582,680596,682452,684334,686116,687870,689540,691106,692602,694062,695392,696686,698015,699278,700478,701610,702701,703747,704794,705795,706760,707780,708706,709604,710431,711273,712049,712809,713574,714254,714946,715623,716254,716932,717510,718112,718689,719240,719753,720285,720755,721225,721687,722181,722673,723128,723563,723945,724336,724735,725122,725515,725890,726271,726617,726954,727295,727610,727920,728243,728534,728805,
89470,61,1611,8276,21926,41296,64691,90455,116537,142544,168083,192448,215516,237301,257734,277166,295263,312016,327670,342532,356255,369381,381571,393038,403769,414006,423518,432436,440927,448928,456350,463702,470539,477042,483108,488771,494357,499496,504494,509144,513578,517876,522047,525935,529671,533307,536738,539945,543017,546007,548858,551582,554230,556539,558919,561285,563515,565635,567690,569674,571585,573404,575154,576868,578466,580039,581605,583041,584514,585921,587236,588498,589756,590983,592076,593216,594304,595256,596269,597216,598200,599092,600034,600907,601745,602472,603301,604042,604713,605362,606058,606703,607355,607922,608525,609078,609645,610209,610750,611255,611743,612219,612718,613155,613623,614021,614449,614883,615233,615639,615985,616359,616715,617031,617357,617698,618015,618308,618631,618915,
89480,22,815,4990,14388,28630,47234,68045,89802,112089,133863,155409,175840,195435,214126,231597,248170,263684,278516,292517,305649,317922,329565,340417,350676,360585,369903,378611,386833,394539,401753,408685,415317,421634,427618,433147,438458,443597,448447,453183,457511,461627,465565,469364,473118,476586,479936,483139,486152,489093,491900,494645,497222,499644,502087,504389,506553,508775,510831,512828,514758,516622,518339,520019,521659,523272,524829,526222,527614,528960,530254,531546,532768,533992,535092,536236,537273,538238,539236,540211,541135,542038,542907,543739,544549,545340,546084,546856,547525,548235,548902,549580,550229,550829,551436,552055,552601,553158,553692,554167,554670,555172,555614,556067,556483,556898,557263,557688,558102,558460,558851,559239,559608,559936,560280,560594,560943,561246,561541,561829,
89490,6,410,2742,8830,18781,32341,48510,66089,84295,103192,121407,139408,156662,173282,189136,204254,218559,232171,244974,257144,268442,279333,289293,298867,308015,316601,324883,332676,340082,347044,353806,360255,366223,371983,377405,382558,387395,392068,396621,400827,404866,408640,412447,415978,419386,422710,425809,428724,431602,434369,437072,439577,441971,444364,446643,448887,450932,452948,454796,456649,458405,460122,461822,463406,464895,466413,467850,469184,470545,471849,473008,474278,475465,476563,477686,478769,479775,480790,481732,482676,483573,484405,485234,486020,486797,487594,488354,489081,489787,490456,491110,491768,492376,492985,493583,494151,494723,495240,495727,496195,496683,497167,497615,498060,498472,498876,499264,499634,500012,500356,500713,501062,501429,501718,502033,502368,502663,502930,503226,
89500,2,160,1304,4799,11320,20729,32347,45710,60033,74832,90140,105409,119879,134140,148028,161375,173979,185988,197478,208541,218947,228910,238349,247337,255864,263974,271766,279050,285991,292707,298994,304978,310654,315925,321081,325983,330662,335194,339485,343580,347525,351311,354871,358313,361621,364775,367853,370643,373405,376118,378724,381178,383608,385960,388197,390292,392282,394203,396008,397793,399556,401304,402975,404620,406090,407514,408931,410232,411539,412744,413982,415151,416286,417406,418476,419494,420528,421550,422504,423408,424283,425104,425942,426718,427489,428262,428990,429744,430416,431115,431721,432316,432901,433496,434050,434663,435208,435769,436254,436770,437235,437742,438200,438649,439043,439443,439872,440237,440581,440968,441338,441714,442084,442417,442726,443029,443308,443561,443831,
89510,0,58,577,2326,6152,12112,20096,29431,40155,51618,63437,75443,87202,98981,110423,121758,132661,143206,153367,162866,172187,181030,189410,197469,205125,212421,219400,226151,232521,238683,244415,250060,255437,260424,265201,269695,274098,278378,282374,286117,289763,293340,296741,300015,303125,306168,309069,311893,314570,317074,319476,321849,324129,326347,328394,330431,332338,334176,336021,337752,339440,341018,342635,344173,345651,347061,348503,349879,351121,352388,353608,354731,355888,356940,358016,359010,360013,360962,361882,362795,363685,364497,365298,366071,366847,367568,368280,368989,369709,370327,370980,371580,372224,372777,373348,373891,374426,374946,375425,375893,376373,376837,377290,377718,378120,378521,378896,379251,379635,380008,380373,380725,381052,381404,381705,381998,382301,382594,382890,
89520,0,25,316,1420,4032,8295,14319,21787,30383,39707,49782,59933,70069,80214,90268,100134,109735,119023,128000,136824,145154,153350,161049,168462,175545,182270,188960,195278,201376,207098,212446,217643,222680,227513,231961,236302,240430,244484,248321,252092,255676,259202,262489,265600,268624,271475,274205,276880,279394,281837,284202,286398,288638,290707,292748,294720,296637,298529,300303,301997,303619,305189,306692,308166,309609,311071,312425,313728,314914,316132,317233,318329,319377,320414,321456,322441,323371,324264,325113,325952,326812,327626,328409,329197,329951,330693,331424,332125,332784,333449,334039,334664,335235,335806,336408,336952,337436,337949,338427,338861,339320,339802,340237,340669,341067,341499,341857,342217,342576,342923,343276,343629,343974,344250,344537,344868,345136,345402,345647,
89530,0,14,183,781,2393,5299,9592,15149,21850,29367,37428,45898,54549,63367,71894,80411,88855,97009,105040,112900,120465,127737,134699,141430,147896,154084,160076,165758,171309,176766,181793,186739,191240,195732,199808,203907,207802,211418,215034,218413,221754,224972,228015,230893,233683,236434,239092,241632,244146,246493,248756,250915,253098,255140,257189,259087,260900,262711,264346,265910,267477,268950,270400,271855,273272,274576,275843,277089,278262,279451,280559,281684,282752,283725,284702,285672,286568,287483,288332,289146,289971,290747,291508,292275,292983,293693,294366,294997,295628,296250,296847,297440,297996,298536,299106,299650,300186,300685,301197,301651,302117,302518,302969,303400,303789,304212,304546,304928,305307,305656,305993,306312,306623,306948,307230,307524,307853,308155,308451,
89540,0,2,58,341,1272,3101,5959,9806,14679,20052,26341,32906,39773,46797,54050,61090,68031,75035,82008,88621,95123,101494,107505,113570,119330,125056,130407,135627,140722,145555,150261,154822,159015,163087,166988,170795,174431,178046,181426,184666,187907,190930,193825,196614,199344,201941,204441,206807,209106,211312,213446,215433,217451,219457,221253,223001,224800,226414,228035,229564,231043,232481,233860,235224,236524,237818,239039,240251,241474,242578,243632,244715,245724,246720,247693,248559,249460,250344,251186,252014,252809,253558,254286,255000,255716,256438,257129,257764,258361,258934,259519,260123,260636,261134,261711,262210,262693,263164,263647,264076,264567,265021,265444,265853,266223,266575,266936,267277,267630,267973,268304,268643,268939,269247,269518,269798,270076,270347,270613,
89550,0,0,18,159,619,1686,3380,5841,9108,13099,17544,22398,27576,33038,38599,44382,50251,55913,61747,67324,72718,78125,83479,88544,93421,98397,103107,107617,112031,116277,120428,124302,128087,131831,135367,138828,142172,145425,148449,151386,154301,157110,159727,162278,164750,167071,169422,171705,173818,175798,177802,179692,181527,183387,185119,186766,188386,189957,191412,192821,194218,195572,196864,198131,199374,200557,201757,202899,204037,205019,206063,207097,208051,208965,209837,210700,211530,212366,213117,213842,214628,215353,216031,216724,217388,218074,218735,219340,219917,220467,221038,221570,222098,222637,223165,223690,224178,224681,225119,225546,225980,226393,226781,227185,227542,227892,228251,228628,228939,229275,229566,229877,230191,230467,230748,231049,231314,231589,231842,
89560,0,0,8,67,239,746,1680,3133,5068,7547,10465,13910,17583,21520,25760,30052,34418,38940,43574,48112,52601,57052,61449,65614,69707,73843,77824,81691,85503,89137,92653,96107,99424,102732,105830,108736,111688,114636,117438,120085,122620,125052,127370,129595,131824,133974,136024,138018,139924,141746,143582,145355,147007,148686,150249,151725,153268,154619,156043,157340,158568,159855,161036,162254,163328,164446,165554,166659,167611,168564,169530,170446,171365,172221,173068,173908,174681,175442,176156,176841,177549,178165,178847,179487,180120,180716,181309,181858,182458,183002,183569,184055,184587,185095,185542,186009,186472,186932,187339,187760,188167,188567,188949,189304,189633,189981,190339,190651,190960,191295,191594,191890,192175,192452,192735,193007,193296,193552,193779,
89570,0,0,1,17,85,307,779,1560,2686,4242,6146,8344,10887,13695,16703,19871,23104,26478,29987,33511,37099,40545,44027,47411,50842,54219,57527,60762,63859,66930,69930,72800,75620,78495,81154,83701,86212,88702,91189,93471,95723,97820,99969,101950,103962,105908,107804,109638,111344,112943,114618,116208,117762,119309,120779,122126,123469,124782,126056,127267,128485,129642,130771,131897,132923,133961,134933,135898,136856,137748,138635,139469,140338,141121,141882,142638,143361,144092,144773,145430,146042,146663,147311,147893,148480,149033,149572,150116,150674,151144,151645,152092,152531,153000,153406,153849,154299,154698,155110,155487,155858,156207,156561,156906,157275,157593,157929,158268,158545,158840,159099,159400,159689,159951,160186,160438,160659,160904,161132,
89580,0,0,0,4,25,113,303,678,1203,1993,3031,4345,5893,7718,9717,11853,14050,16477,18984,21495,24037,26642,29255,31881,34505,37114,39685,42201,44594,47026,49377,51761,54008,56296,58528,60660,62776,64825,66902,68849,70754,72640,74380,76081,77731,79390,81065,82644,84179,85556,86982,88425,89802,91090,92359,93623,94861,95991,97130,98176,99223,100194,101137,102041,102994,103881,104794,105668,106445,107284,108037,108813,109532,110247,110954,111577,112248,112884,113488,114063,114645,115208,115750,116290,116825,117355,117846,118347,118832,119336,119801,120216,120612,121058,121475,121828,122211,122561,122905,123211,123564,123851,124191,124485,124791,125121,125404,125710,126016,126270,126515,126805,127042,127298,127532,127740,127972,128193,128398,
89590,0,0,0,0,4,24,82,202,422,772,1263,1879,2662,3595,4639,5862,7190,8576,10140,11745,13330,15063,16847,18673,20506,22272,24032,25839,27659,29510,31246,33025,34708,36429,38139,39791,41352,42882,44364,45862,47335,48772,50115,51465,52764,53979,55273,56546,57739,58946,60087,61196,62237,63359,64384,65343,66300,67192,68100,69052,69934,70807,71666,72454,73259,73991,74792,75449,76135,76812,77484,78171,78784,79362,79953,80494,81108,81636,82177,82715,83221,83714,84223,84660,85143,85546,85941,86344,86769,87180,87568,87961,88343,88693,89034,89392,89721,90027,90351,90658,90969,91237,91548,91815,92048,92301,92557,92791,93027,93251,93486,93695,93910,94118,94349,94546,94764,94972,95170,
89600,0,0,0,0,0,2,13,30,82,164,321,528,776,1095,1510,2006,2586,3210,3894,4671,5531,6431,7406,8395,9357,10378,11427,12492,13546,14599,15680,16769,17822,18883,19985,21046,22109,23129,24095,25096,26134,27126,28112,29082,29990,30940,31820,32745,33605,34447,35207,36009,36793,37585,38371,39079,39870,40577,41232,41873,42539,43189,43820,44412,44983,45585,46122,46667,47233,47774,48258,48756,49244,49752,50188,50633,51062,51473,51869,52291,52690,53081,53454,53840,54227,54617,54929,55257,55571,55887,56197,56523,56807,57101,57350,57614,57893,58151,58392,58630,58873,59110,59356,59582,59792,60023,60229,60459,60651,60853,61028,61211,61380,61528,61699,61861,62030,62209,62364,
8961122,15996,75523,159995,248846,331526,405253,470096,527415,577331,620962,659550,694121,724806,752567,777459,799853,820297,838982,855727,871119,885287,898483,910531,921791,932235,941991,951096,959579,967468,974777,981671,988079,994224,1000013,1005521,1010673,1015513,1020094,1024393,1028466,1032427,1036163,1039591,1042923,1046178,1049186,1051989,1054794,1057461,1059990,1062424,1064714,1066887,1068912,1070916,1072849,1074623,1076371,1078029,1079657,1081263,1082724,1084177,1085543,1086878,1088143,1089416,1090619,1091723,1092812,1093922,1094933,1095945,1096862,1097801,1098715,1099591,1100423,1101207,1101986,1102709,1103412,1104093,1104747,1105384,1105994,1106612,1107204,1107789,1108338,1108848,1109366,1109887,1110350,1110807,1111273,1111735,1112186,1112583,1112956,1113359,1113745,1114097,1114482,1114828,1115147,1115474,1115758,1116081,1116366,1116615,1116872,1117146,1117407,1117683,1117942,1118172,1118399,1118653,
896212,4205,29931,78017,136537,196894,254687,308407,357191,401077,440780,476175,508691,537557,563858,587909,609958,630021,648447,665587,681176,695529,708787,721262,733077,743576,753488,762827,771351,779490,787110,794398,801208,807549,813629,819358,824705,829862,834632,839327,843731,847917,851777,855541,859075,862432,865663,868660,871649,874491,877209,879770,882207,884656,886912,889062,891152,893090,894933,896731,898491,900187,901855,903424,904918,906369,907764,909148,910441,911715,912863,914051,915164,916289,917369,918342,919284,920219,921145,922055,922921,923728,924555,925282,925977,926683,927355,927984,928664,929286,929914,930494,931042,931624,932161,932673,933181,933668,934145,934604,935034,935449,935856,936244,936634,937007,937359,937702,938052,938363,938682,939000,939328,939631,939914,940217,940525,940773,941037,941290,
89630,1829,16192,48004,91628,139452,187705,233433,276744,316498,352966,385927,416140,443784,468708,491888,513028,532451,550315,566837,581973,596142,609305,621607,632927,643616,653533,662808,671553,679685,687482,694751,701726,707983,714056,719762,725242,730383,735451,740116,744465,748570,752613,756432,760176,763648,766956,770088,773044,775961,778719,781317,783896,786318,788582,790699,792817,794840,796851,798723,800524,802205,803910,805498,807017,808495,809923,811303,812687,813989,815201,816379,817509,818626,819705,820747,821757,822740,823692,824641,825491,826312,827165,827935,828705,829459,830146,830867,831521,832116,832703,833308,833881,834431,834941,835448,835955,836442,836902,837397,837843,838266,838719,839165,839568,839941,840305,840662,841055,841405,841726,842055,842406,842722,843010,843285,843586,843873,844131,844374,
89640,589,7511,26630,55960,91112,128527,165893,201846,235991,267743,297092,324296,349116,372479,393758,413709,432183,449128,464823,479569,493314,505929,517700,528833,539037,548892,558162,566723,574723,582265,589421,596452,603006,609094,614789,620335,625561,630480,635167,639528,643707,647712,651575,655258,658703,662016,665090,667962,670749,673483,676193,678727,681168,683498,685730,687969,689990,692070,694029,695817,697528,699247,700904,702511,703935,705381,706748,708090,709399,710655,711903,713147,714174,715340,716347,717360,718347,719320,720307,721215,722092,722868,723720,724484,725234,725962,726689,727366,728045,728679,729323,729923,730523,731055,731611,732145,732633,733107,733584,734059,734494,734908,735318,735731,736117,736556,736950,737318,737684,738049,738371,738690,739024,739361,739660,739975,740285,740563,740821,
89650,131,2689,12120,29233,52253,78620,106286,134277,161423,187785,212684,235994,258041,278616,298115,315913,332618,348036,362610,376446,389246,401043,412019,422676,432589,441974,450851,458964,466770,474211,481141,487701,493937,499911,505567,510840,515949,520740,525293,529666,533779,537759,541634,545278,548731,552018,555096,558177,561010,563819,566356,568955,571425,573836,576089,578295,580404,582405,584280,586080,587926,589652,591231,592826,594401,595862,597317,598724,600049,601316,602542,603734,604886,605978,607047,608094,609148,610197,611073,611993,612875,613754,614514,615262,615990,616762,617503,618183,618894,619584,620220,620864,621448,622054,622616,623165,623703,624215,624699,625181,625646,626169,626588,626997,627393,627788,628171,628609,628982,629329,629711,630070,630386,630686,631003,631295,631602,631912,632165,
89660,62,1510,7746,19997,37616,58615,81713,105338,129170,152334,174660,195869,215847,234645,252301,269026,284659,299210,312929,325990,338197,349685,360420,370669,380268,389057,397745,405719,413292,420578,427090,433566,439805,445629,450938,456220,461149,465972,470538,474779,478856,482704,486495,490076,493448,496669,499808,502773,505611,508354,510914,513494,515991,518374,520552,522636,524681,526682,528604,530492,532217,534002,535658,537205,538740,540210,541575,542949,544247,545580,546794,547962,549099,550229,551315,552392,553358,554325,555231,556136,556989,557849,558651,559450,560180,560933,561644,562385,563055,563695,564314,564921,565540,566129,566684,567209,567785,568306,568769,569232,569714,570171,570617,571054,571458,571891,572278,572652,573023,573358,573743,574076,574366,574746,575042,575369,575652,575959,576216,
89670,17,737,4294,12530,25189,41433,59844,79182,98807,118751,138023,156494,174258,190944,206947,222207,236796,250252,263004,275161,286436,297146,307179,316602,325609,334214,342349,350045,357283,364258,370888,377230,383181,388796,394104,399138,403974,408574,412862,416888,420947,424642,428365,431885,435199,438360,441422,444343,447182,449923,452576,455052,457398,459660,461855,463926,465933,467846,469733,471512,473305,475029,476666,478255,479797,481285,482636,483962,485296,486496,487727,488939,490078,491104,492145,493167,494148,495088,496002,496882,497782,498601,499473,500239,501044,501809,502566,503269,503971,504695,505295,505887,506481,507093,507676,508225,508764,509282,509818,510286,510736,511193,511651,512078,512511,512910,513322,513701,514055,514432,514759,515108,515410,515734,516035,516339,516652,516931,517214,
89680,7,324,2274,7202,15571,27081,40836,55852,71663,87980,104197,120050,135303,149995,164178,177707,190388,202446,214107,225194,235657,245448,254888,263782,272148,280145,287863,295034,302029,308652,314842,320774,326415,331704,336762,341565,346208,350666,354903,358791,362612,366356,369950,373379,376680,379824,382744,385570,388312,390941,393350,395876,398172,400486,402680,404751,406709,408564,410334,412139,413829,415432,417045,418596,420059,421468,422872,424194,425520,426723,427957,429064,430141,431228,432290,433318,434302,435264,436188,437087,437969,438803,439633,440400,441199,441902,442624,443309,443942,444579,445253,445876,446487,447070,447627,448144,448670,449161,449677,450170,450660,451076,451509,451933,452343,452745,453142,453526,453877,454269,454617,454967,455275,455611,455912,456239,456542,456823,457089,
89690,2,111,968,3684,8844,16218,25725,36773,48646,61192,74249,87109,99773,112159,123984,135561,146614,157283,167626,177444,186719,195656,204178,212266,220044,227471,234579,241305,247732,253777,259487,265017,270286,275282,280086,284546,288894,293020,296960,300762,304344,307772,311169,314351,317426,320353,323211,325865,328475,330989,333361,335755,338035,340251,342355,344408,346325,348180,349963,351689,353338,354934,356493,358027,359420,360809,362188,363559,364791,365886,367040,368122,369216,370251,371293,372297,373270,374192,375093,375985,376801,377648,378422,379166,379925,380666,381336,382004,382726,383408,383980,384602,385196,385786,386329,386828,387367,387910,388379,388852,389336,389786,390191,390602,391028,391431,391807,392155,392525,392867,393228,393578,393924,394222,394534,394842,395117,395410,395687,
89700,0,54,553,2190,5699,11139,18416,27212,37046,47460,58402,69325,80297,91151,101851,112219,122267,131742,141117,150194,158847,166996,174821,182403,189735,196510,203063,209455,215404,221191,226821,231850,236893,241764,246360,250742,254945,258932,262676,266291,269832,273244,276496,279678,282688,285507,288194,290821,293300,295712,298025,300309,302536,304578,306568,308510,310343,312171,313948,315592,317208,318716,320237,321719,323112,324447,325715,326969,328193,329407,330560,331684,332781,333785,334777,335765,336672,337565,338434,339270,340072,340843,341609,342345,343091,343825,344521,345182,345810,346488,347096,347717,348272,348800,349341,349880,350402,350933,351421,351878,352328,352737,353160,353510,353941,354326,354722,355099,355395,355749,356071,356409,356733,357028,357338,357643,357958,358245,358538,
89710,1,26,305,1280,3429,7091,12278,18936,26714,34967,43758,52859,61964,71336,80689,89838,98470,107278,115678,123674,131455,138792,145951,152815,159502,165842,171996,177746,183329,188613,193730,198564,203219,207551,211880,215925,219910,223578,227158,230600,233954,237107,240146,243005,245811,248614,251314,253806,256385,258717,260913,263053,265130,267149,269078,271022,272794,274565,276235,277787,279348,280893,282369,283788,285105,286481,287797,289027,290165,291321,292376,293455,294502,295484,296430,297347,298245,299130,299997,300820,301591,302346,303100,303823,304545,305253,305943,306593,307267,307878,308475,309058,309591,310112,310622,311092,311593,312075,312561,313050,313487,313953,314381,314803,315181,315547,315919,316302,316645,317027,317353,317678,317967,318306,318589,318879,319157,319410,319665,
89720,0,6,121,668,1996,4442,8187,13073,18882,25311,32246,39496,47022,54623,62258,69999,77501,84943,92237,99313,106018,112610,119009,125019,130852,136560,141982,147239,152213,157001,161616,166118,170358,174526,178370,182191,185888,189422,192733,195907,198992,202029,204826,207690,210260,212824,215306,217785,220074,222307,224515,226573,228563,230430,232223,233957,235699,237294,238887,240425,241854,243313,244688,246009,247351,248599,249801,251054,252204,253329,254386,255473,256451,257422,258409,259299,260203,261094,261933,262742,263511,264299,265069,265780,266434,267143,267815,268470,269093,269708,270263,270816,271365,271907,272405,272917,273389,273866,274318,274782,275218,275608,276028,276460,276849,277233,277577,277942,278284,278612,278951,279278,279595,279924,280255,280517,280784,281045,281345,
89730,0,0,50,276,959,2425,4694,7784,11601,16134,21259,26628,32373,38401,44586,50756,56901,63137,69271,75324,81095,86658,92140,97434,102518,107600,112442,117184,121741,126067,130346,134423,138373,142055,145661,149208,152492,155767,158829,161828,164782,167640,170300,172835,175314,177630,179969,182082,184288,186354,188355,190266,192115,193861,195601,197297,198943,200454,201904,203363,204807,206125,207435,208672,209856,211065,212178,213298,214345,215390,216410,217374,218358,219284,220178,221041,221903,222750,223578,224301,225056,225748,226407,227085,227728,228354,228965,229581,230180,230733,231271,231815,232338,232853,233344,233858,234321,234775,235206,235636,236060,236469,236859,237264,237653,237998,238376,238691,239016,239369,239661,239984,240250,240540,240820,241086,241318,241587,241837,
89740,0,0,11,91,390,1094,2332,4155,6675,9624,13127,16939,21090,25526,30010,34695,39441,44457,49267,54080,58695,63338,67832,72187,76442,80723,84818,88749,92610,96450,99998,103505,107030,110260,113420,116417,119374,122264,125022,127606,130230,132693,135091,137306,139632,141810,143920,145992,147967,149887,151709,153383,155017,156686,158269,159748,161297,162686,164140,165480,166738,168015,169235,170398,171572,172658,173760,174764,175707,176697,177589,178491,179370,180283,181063,181898,182711,183484,184206,184935,185651,186317,186970,187565,188179,188792,189360,189947,190502,191098,191618,192116,192603,193072,193578,194048,194471,194904,195323,195728,196148,196563,196928,197319,197680,198027,198367,198676,199015,199347,199654,199925,200215,200477,200740,201017,201302,201524,201740,
89750,0,0,1,31,148,467,1093,2113,3591,5505,7801,10476,13427,16678,20118,23659,27385,31249,35070,38811,42607,46188,49891,53536,57184,60780,64234,67513,70811,74034,77089,80091,83130,86050,88717,91387,94002,96526,98983,101325,103621,105857,107996,110083,112058,113959,115766,117560,119279,120988,122538,124076,125584,127097,128456,129840,131185,132485,133777,134996,136178,137311,138430,139519,140550,141620,142653,143616,144482,145389,146256,147113,147937,148762,149550,150286,151009,151702,152358,153025,153714,154340,154968,155511,156083,156687,157217,157788,158325,158817,159288,159789,160285,160731,161160,161579,161997,162378,162773,163170,163532,163901,164272,164638,164974,165292,165612,165905,166193,166489,166775,167032,167315,167587,167832,168090,168338,168612,168853,
89760,0,0,0,6,44,162,422,916,1633,2644,3947,5524,7344,9377,11686,14149,16730,19369,22058,24810,27564,30294,33153,35865,38631,41368,44046,46626,49217,51750,54262,56658,59009,61393,63646,65892,67982,70024,72092,74064,76054,77947,79801,81568,83308,84984,86620,88212,89764,91284,92761,94152,95549,96814,98074,99288,100479,101658,102815,103880,104898,105906,106856,107826,108731,109606,110470,111294,112113,112863,113680,114488,115249,115949,116667,117330,118014,118691,119358,119979,120572,121134,121719,122263,122812,123291,123781,124261,124718,125183,125637,126095,126521,126951,127347,127726,128099,128428,128784,129126,129452,129804,130119,130433,130721,131030,131328,131630,131922,132181,132460,132707,132935,133194,133415,133640,133878,134090,134318,
89770,0,0,0,1,11,36,104,284,590,1034,1638,2446,3383,4497,5778,7133,8622,10174,11948,13735,15507,17359,19175,21051,22950,24830,26752,28661,30596,32416,34286,36140,38008,39846,41605,43202,44875,46452,48012,49574,51087,52494,53887,55316,56731,58035,59335,60608,61818,63098,64224,65366,66507,67586,68609,69639,70636,71555,72491,73374,74258,75113,76000,76794,77611,78363,79104,79838,80504,81186,81867,82568,83224,83856,84448,85047,85619,86169,86698,87172,87662,88162,88642,89174,89643,90107,90566,90986,91441,91856,92270,92640,92999,93365,93700,94058,94406,94740,95027,95322,95649,95942,96226,96491,96745,97005,97270,97498,97749,97973,98193,98407,98612,98839,99061,99254,99455,99655,99837,
89780,0,0,0,0,0,1,10,54,126,251,450,705,1039,1440,1918,2502,3152,3886,4700,5565,6593,7621,8698,9736,10762,11901,13034,14186,15297,16429,17571,18740,19852,21052,22211,23311,24419,25523,26586,27639,28690,29740,30774,31742,32671,33617,34536,35462,36323,37148,38047,38926,39770,40590,41373,42127,42862,43636,44368,45042,45725,46380,47017,47632,48239,48870,49441,50008,50555,51062,51624,52088,52584,53065,53540,54004,54441,54865,55306,55735,56114,56499,56889,57248,57593,57958,58336,58669,59017,59333,59672,59990,60303,60587,60856,61139,61402,61625,61912,62136,62376,62615,62842,63079,63291,63493,63718,63930,64138,64330,64499,64684,64834,65006,65178,65358,65522,65680,65822,
89790,10,1562,13473,44137,92263,150500,211606,271895,329283,382407,430618,474476,514082,549665,581741,610825,637109,660684,682509,702239,720105,736679,751756,765606,778430,790061,801048,811090,820376,829188,837344,844857,851939,858548,864660,870357,875747,880967,885734,890169,894432,898314,902079,905553,908932,912113,915109,918036,920761,923376,925852,928216,930424,932556,934507,936430,938208,939946,941562,943114,944587,946079,947363,948685,949853,951027,952214,953289,954256,955260,956214,957101,957970,958802,959606,960365,961104,961815,962506,963162,963769,964345,964929,965491,966042,966539,967072,967562,968042,968467,968915,969317,969731,970128,970510,970871,971196,971533,971843,972158,972443,972762,973072,973347,973621,973873,974095,974330,974567,974768,974983,975203,975384,975568,975781,975950,976123,976280,976455,
89800,0,271,3533,15285,37369,68462,105418,145301,185565,225038,262202,296939,328998,358926,386905,412333,435571,457105,477096,495143,511959,527605,541791,555055,567393,578876,589318,599253,608610,617095,625085,632524,639630,646276,652402,658182,663596,668761,673549,678161,682573,686540,690370,694005,697519,700874,703880,706801,709520,712215,714684,717110,719375,721517,723579,725606,727500,729221,730924,732521,734072,735600,737095,738450,739790,741006,742230,743355,744476,745502,746534,747536,748433,749305,750131,751020,751836,752629,753343,754037,754668,755291,755929,756530,757113,757685,758227,758760,759263,759772,760226,760688,761123,761516,761920,762324,762670,762998,763346,763673,764003,764325,764652,764929,765185,765441,765712,765980,766225,766460,766689,766906,767121,767323,767509,767693,767872,768042,768203,
89810,1,90,1558,7646,21032,41813,68313,98195,129560,161245,191902,221682,249879,276062,300781,323641,344753,364517,382555,399526,415156,429602,443122,455877,467469,478353,488483,498167,507005,515434,523109,530429,537145,543507,549491,555173,560568,565648,570450,574889,579121,583228,587019,590607,593999,597326,600400,603400,606197,608877,611366,613718,616067,618269,620298,622214,624064,625852,627602,629225,630805,632308,633764,635100,636473,637794,638910,640023,641126,642228,643288,644277,645268,646150,647078,647921,648744,649533,650290,650946,651636,652264,652915,653539,654122,654720,655293,655852,656325,656834,657297,657744,658193,658593,658987,659367,659741,660108,660501,660858,661208,661509,661816,662107,662367,662623,662912,663154,663390,663634,663840,664039,664253,664458,664654,664839,665019,665213,665378,
89820,0,22,539,3407,10642,23286,40742,62000,84988,108830,133117,157169,180171,202181,222946,242521,261103,278382,294747,309940,324077,337278,349658,361298,372187,382402,391878,400832,409140,416941,424313,431155,437499,443648,449476,454951,460215,465021,469657,473937,478059,482071,485712,489272,492578,495676,498665,501499,504245,506793,509278,511613,513767,515908,517854,519780,521630,523423,525143,526750,528261,529739,531176,532503,533783,535092,536269,537408,538570,539617,540662,541662,542615,543508,544372,545208,545963,546667,547477,548191,548885,549554,550184,550809,551383,551956,552507,553023,553555,554066,554518,554972,555416,555852,556271,556662,557040,557422,557786,558139,558439,558769,559105,559415,559700,559979,560246,560515,560775,561012,561249,561503,561716,561940,562126,562318,562515,562697,562861,
89830,0,9,168,1250,4603,11281,21394,34672,49993,67017,84819,102771,120524,137787,154667,170934,186319,201027,214924,227832,240134,251644,262482,272893,282730,291854,300374,308611,316420,323545,330353,336694,342826,348537,353978,359036,363972,368565,372804,376885,380835,384559,388083,391441,394705,397718,400553,403290,405967,408497,410904,413221,415305,417362,419319,421157,422954,424634,426280,427851,429330,430762,432158,433448,434726,435860,437042,438163,439256,440313,441309,442263,443218,444154,445045,445875,446726,447463,448177,448874,449515,450188,450782,451425,451988,452523,453043,453543,454071,454581,455019,455470,455906,456360,456755,457163,457521,457908,458265,458585,458939,459252,459552,459828,460121,460400,460647,460934,461174,461411,461640,461909,462153,462378,462584,462799,462983,463168,463346,
89840,0,2,64,609,2629,7206,14543,24384,36528,50154,64618,79483,94445,109424,124139,138429,152067,165198,177609,189527,200684,211462,221409,231030,239979,248648,256756,264437,271614,278515,284945,291022,296801,302254,307441,312369,317098,321416,325671,329687,333444,337126,340578,343851,346908,349776,352553,355210,357762,360232,362586,364775,366888,368887,370729,372511,374284,376006,377632,379144,380625,382007,383447,384776,386079,387260,388390,389499,390557,391579,392558,393450,394319,395216,396028,396787,397541,398294,399051,399746,400382,401033,401647,402253,402812,403350,403884,404425,404968,405451,405903,406360,406834,407236,407666,408094,408466,408855,409237,409588,409863,410188,410470,410778,411090,411357,411613,411856,412106,412321,412543,412758,412981,413169,413365,413552,413724,413893,414077,
89850,0,1,42,349,1595,4472,9474,16532,25545,36156,47619,59867,72295,84980,97361,109647,121612,133079,143932,154466,164629,174151,183248,192051,200390,208185,215571,222671,229388,235709,241631,247359,252690,257805,262709,267390,271753,275779,279762,283516,287099,290455,293710,296831,299739,302690,305297,307871,310287,312608,314866,316999,319025,320962,322798,324574,326200,327892,329509,331039,332494,333825,335134,336411,337637,338719,339879,340974,342000,342959,343961,344842,345719,346577,347419,348194,348961,349684,350393,351059,351706,352333,352951,353566,354131,354656,355180,355664,356169,356624,357098,357544,357961,358366,358750,359149,359512,359865,360208,360557,360863,361156,361457,361736,362015,362288,362549,362813,363073,363316,363544,363752,363974,364159,364354,364566,364770,364946,365148,
89860,0,0,17,172,822,2455,5747,10507,16877,24581,33370,42772,52508,62796,72971,82998,93059,102981,112534,121740,130448,138909,146970,154636,162191,169241,175887,182328,188414,194213,199801,204999,210000,214756,219231,223439,227488,231341,235116,238634,241909,245103,248102,250981,253794,256430,258941,261289,263621,265811,267883,269911,271786,273594,275382,277058,278633,280259,281799,283294,284664,285914,287191,288474,289699,290821,291861,292941,293980,294901,295795,296702,297551,298435,299241,300049,300754,301437,302117,302782,303398,303999,304582,305135,305676,306202,306696,307202,307695,308154,308584,309003,309388,309845,310251,310610,310950,311289,311627,311915,312243,312520,312832,313092,313339,313602,313861,314114,314358,314587,314796,315040,315247,315442,315660,315853,316046,316244,316414,
89870,0,0,6,70,360,1254,3128,6160,10389,15759,22052,29128,36484,44413,52646,60888,68955,77034,85022,92821,100073,107420,114453,121191,127628,133918,139926,145638,151030,156253,161191,165934,170488,174778,178829,182680,186370,189991,193297,196505,199601,202578,205438,208111,210690,213199,215543,217856,220043,222186,224130,225983,227784,229506,231156,232750,234190,235635,237001,238327,239630,240835,242048,243149,244241,245373,246451,247457,248378,249290,250153,250969,251810,252610,253313,254011,254729,255427,256033,256642,257259,257859,258412,258947,259495,259988,260464,260921,261395,261862,262269,262643,263033,263432,263807,264153,264496,264826,265150,265447,265754,266013,266300,266582,266847,267097,267333,267568,267810,268036,268224,268425,268647,268875,269062,269234,269421,269591,269754,
89880,0,0,6,33,235,812,2117,4261,7350,11338,16253,21933,27968,34586,41398,48386,55529,62468,69455,76209,82932,89447,95848,101803,107551,113131,118606,123726,128666,133471,137924,142269,146480,150492,154227,157845,161293,164640,167816,170812,173768,176481,179198,181768,184239,186622,188885,191019,193114,195113,197066,198877,200601,202254,203807,205299,206785,208180,209484,210693,211996,213212,214362,215433,216523,217498,218492,219441,220330,221243,222087,222920,223692,224427,225191,225945,226658,227283,227902,228469,229070,229629,230189,230728,231235,231719,232186,232651,233095,233527,233943,234344,234719,235069,235415,235791,236129,236455,236760,237056,237330,237615,237888,238179,238419,238688,238962,239177,239396,239605,239824,240044,240260,240447,240598,240760,240919,241092,241255,
89890,0,0,1,13,101,451,1226,2679,4950,7979,11662,15937,20842,26194,31687,37386,43239,49241,55190,60970,66717,72405,78040,83286,88629,93587,98351,102962,107527,111863,115915,119778,123511,127205,130669,134016,137110,140242,143211,146121,148841,151507,154051,156387,158646,160771,162819,164864,166778,168658,170419,172096,173684,175228,176702,178148,179566,180942,182232,183486,184635,185753,186893,187926,188885,189881,190872,191749,192676,193528,194343,195097,195822,196585,197269,197901,198549,199154,199726,200279,200838,201415,201967,202470,202949,203441,203893,204311,204766,205171,205603,205986,206344,206684,207056,207381,207735,208019,208284,208584,208886,209139,209375,209602,209819,210091,210327,210555,210803,211012,211235,211436,211631,211827,211992,212164,212349,212519,212694,
89900,0,0,0,11,52,236,726,1665,3047,5220,7927,11181,14909,19114,23520,28128,32941,37732,42548,47448,52423,57275,62065,66754,71214,75630,79915,83983,87860,91770,95501,99147,102539,105810,109082,111968,114842,117666,120369,122946,125427,127834,130074,132268,134446,136498,138456,140382,142192,143826,145523,147086,148594,150093,151488,152812,154075,155346,156604,157800,158948,160049,161050,162050,162984,163857,164732,165565,166393,167180,167939,168681,169418,170092,170765,171384,171958,172561,173113,173639,174172,174675,175152,175643,176082,176538,176972,177404,177834,178262,178666,179019,179356,179715,180028,180364,180678,180981,181260,181551,181842,182104,182338,182576,182816,183054,183274,183487,183709,183914,184100,184335,184526,184699,184866,185028,185179,185327,185477,
89910,0,0,0,1,15,94,346,878,1773,3106,4921,7138,9871,12841,16084,19602,23252,27110,31034,35000,38969,42791,46737,50587,54404,58057,61709,65201,68600,71882,75093,78222,81109,84050,86907,89633,92249,94768,97229,99556,101733,103939,105994,107922,109878,111671,113349,115082,116743,118351,119834,121293,122706,123966,125290,126556,127723,128876,130036,131064,132072,133037,134051,135001,135917,136814,137605,138367,139142,139821,140515,141146,141847,142491,143098,143723,144275,144856,145414,145947,146450,146935,147422,147851,148298,148741,149147,149539,149915,150285,150645,150991,151341,151698,151995,152313,152597,152893,153175,153426,153673,153930,154176,154396,154630,154837,155038,155262,155456,155652,155861,156043,156217,156373,156528,156704,156858,157027,157165,
89920,0,0,0,1,10,54,162,471,970,1828,2954,4387,6230,8262,10647,13180,16007,18877,21807,24803,27907,31161,34271,37348,40380,43372,46374,49331,52141,54960,57653,60237,62840,65348,67674,70064,72333,74545,76671,78667,80654,82491,84299,86104,87843,89477,91100,92578,94019,95492,96859,98151,99432,100629,101769,102856,103866,104960,105963,106959,107847,108718,109632,110441,111224,112022,112775,113489,114163,114917,115544,116173,116832,117439,117996,118575,119065,119581,120062,120545,120980,121431,121877,122305,122691,123083,123467,123863,124249,124613,124949,125289,125595,125910,126230,126499,126757,127051,127277,127526,127743,127972,128173,128415,128621,128798,128997,129209,129375,129551,129721,129883,130033,130195,130357,130498,130641,130782,130927,
89930,0,0,0,1,3,12,72,172,445,896,1549,2501,3664,5089,6614,8407,10335,12554,14813,17110,19499,21925,24468,26923,29352,31742,34202,36566,38946,41246,43555,45715,47898,49961,52079,54019,55834,57785,59548,61291,62941,64591,66202,67826,69280,70695,72072,73399,74677,75962,77142,78308,79490,80573,81596,82580,83543,84544,85480,86365,87190,88060,88826,89651,90348,91064,91753,92417,93050,93679,94285,94886,95489,96012,96521,96976,97472,97965,98392,98848,99247,99706,100109,100487,100865,101223,101544,101885,102216,102558,102866,103146,103442,103716,103954,104197,104459,104708,104949,105188,105425,105636,105863,106072,106281,106472,106676,106844,107016,107190,107355,107524,107712,107868,108005,108128,108241,108375,108498,
89940,0,0,0,0,0,5,25,75,194,418,787,1283,1972,2801,3763,4908,6249,7696,9244,10862,12576,14312,16009,17789,19537,21389,23197,25063,26871,28645,30495,32260,33936,35678,37333,38904,40458,41975,43437,44861,46229,47586,48867,50151,51390,52656,53802,54887,55958,57014,58046,59047,60039,60952,61872,62737,63541,64396,65151,65896,66577,67249,67916,68549,69196,69800,70389,70993,71585,72114,72607,73108,73608,74096,74599,75078,75524,75941,76307,76725,77096,77477,77822,78180,78497,78830,79143,79453,79755,80011,80299,80533,80792,81066,81306,81541,81772,81982,82190,82393,82561,82749,82959,83155,83348,83553,83716,83895,84047,84194,84338,84469,84627,84745,84887,85014,85135,85247,85347,
89950,0,0,0,0,0,1,5,18,56,128,269,483,803,1230,1741,2365,3098,3915,4843,5834,6876,7967,9164,10417,11679,12900,14183,15418,16724,17993,19288,20548,21767,22995,24207,25389,26568,27728,28844,29973,31074,32126,33156,34174,35120,36110,37026,37914,38728,39544,40365,41121,41881,42623,43323,44064,44747,45420,46080,46671,47256,47883,48454,49011,49533,50100,50588,51082,51612,52061,52508,52916,53364,53736,54127,54495,54862,55202,55529,55863,56195,56494,56807,57106,57376,57673,57940,58217,58489,58754,59011,59271,59527,59703,59912,60107,60329,60524,60733,60946,61114,61283,61425,61595,61742,61884,62015,62167,62314,62444,62572,62707,62823,62926,63038,63166,63276,63392,63491,
89960,0,0,0,0,0,0,0,4,14,43,79,162,256,389,584,856,1125,1488,1889,2353,2903,3468,4100,4754,5412,6119,6790,7538,8288,9010,9791,10578,11381,12114,12848,13688,14413,15221,15987,16723,17467,18119,18860,19528,20226,20919,21568,22214,22850,23457,24019,24593,25170,25680,26236,26785,27328,27836,28301,28801,29254,29688,30105,30517,30925,31326,31678,32025,32387,32753,33099,33440,33767,34071,34360,34620,34928,35202,35473,35727,35984,36255,36487,36738,36967,37208,37433,37615,37813,38034,38228,38394,38565,38751,38907,39060,39215,39358,39501,39681,39820,39943,40064,40180,40306,40441,40549,40670,40791,40884,41004,41101,41187,41268,41364,41466,41548,41616,41703,
89970,388,9435,41072,93822,157237,223602,288019,347722,402311,451688,495785,535253,570674,602330,630993,656772,679890,701128,720271,737738,753947,768456,781694,794179,805525,816093,825815,834734,843154,850878,858198,864926,871297,877210,882846,887963,892842,897392,901689,905643,909502,913128,916498,919730,922866,925659,928385,930994,933415,935794,937956,940013,942088,943982,945756,947492,949153,950714,952246,953637,955000,956295,957514,958719,959873,960941,961978,962989,963925,964803,965676,966499,967270,968041,968790,969499,970212,970894,971495,972117,972730,973310,973852,974396,974926,975404,975833,976279,976737,977175,977568,977949,978310,978675,978999,979302,979618,979934,980226,980529,980806,981064,981324,981598,981845,982059,982285,982486,982695,982904,983099,983253,983450,983628,983829,984005,984195,984380,984551,
89980,50,2264,13948,38537,74429,116282,160305,203850,245676,285107,321508,355059,385567,413271,438727,462266,483783,503416,521447,538199,553655,567620,580530,592487,603734,614157,623784,632611,640978,648528,655861,662709,669180,675205,680700,686091,691102,695723,700045,704150,707976,711733,715221,718537,721706,724707,727439,730135,732757,735198,737616,739794,741856,743877,745849,747647,749433,751022,752625,754133,755517,756863,758205,759450,760662,761813,762905,764014,765056,766034,766938,767869,768723,769502,770278,771029,771760,772416,773101,773746,774368,774978,775538,776107,776652,777107,777593,778073,778561,779021,779433,779868,780308,780683,781038,781436,781762,782063,782384,782710,783015,783311,783597,783865,784125,784394,784640,784867,785094,785331,785555,785756,785965,786149,786324,786495,786663,786833,787000,
89990,13,1000,7200,22234,46212,76433,110168,144801,179412,212349,243648,272874,299990,325236,348865,370513,390012,408174,425324,440876,455320,468781,481396,492942,503627,513699,523119,531788,539924,547587,554608,561201,567512,573495,579051,584259,589169,593835,598288,602335,606237,609981,613541,616883,619995,622952,625771,628448,631102,633635,635972,638176,640257,642279,644205,646018,647739,649325,650934,652465,653867,655232,656573,657772,659004,660192,661302,662345,663426,664476,665427,666300,667237,668074,668873,669668,670431,671158,671848,672464,673116,673751,674328,674924,675532,676059,676566,677057,677551,677977,678457,678890,679337,679749,680093,680468,680789,681162,681520,681846,682153,682456,682752,683026,683266,683519,683739,683999,684250,684469,684674,684876,685061,685246,685430,685615,685797,685984,686143,
90000,3,333,3097,11240,26128,46394,70654,96766,123719,150116,175620,200065,222993,244805,265283,284526,302303,318957,334302,348700,362071,374637,386443,397311,407338,416742,425583,433909,441719,449170,456006,462458,468463,474241,479678,484845,489566,494004,498300,502321,506230,509951,513376,516670,519734,522613,525444,528022,530528,532964,535172,537381,539379,541350,543202,545067,546789,548400,549947,551413,552871,554298,555700,557006,558198,559340,560481,561554,562567,563552,564470,565395,566284,567139,567964,568768,569473,570175,570897,571492,572106,572732,573324,573899,574481,575047,575581,576050,576528,577000,577416,577844,578234,578630,578969,579350,579699,580038,580418,580724,581017,581310,581593,581866,582098,582323,582594,582821,583047,583291,583511,583715,583937,584140,584344,584526,584711,584883,585064,
90010,1,90,1094,4917,12794,24861,40202,58083,77248,97133,116964,136293,155219,173304,190558,206900,222093,236392,249942,262553,274358,285593,296300,306302,315571,324227,332471,340125,347328,354140,360532,366605,372253,377449,382444,387290,391853,396153,400233,404110,407743,411174,414507,417664,420762,423647,426423,429011,431391,433673,435873,438070,440056,441969,443893,445614,447299,448951,450467,451949,453363,454722,456056,457382,458577,459680,460807,461885,462848,463809,464736,465699,466554,467381,468207,468983,469782,470486,471120,471778,472442,473061,473583,474187,474717,475224,475695,476190,476636,477136,477588,478034,478473,478892,479284,479663,479992,480325,480633,480948,481286,481597,481862,482133,482384,482634,482857,483112,483347,483552,483746,483948,484162,484354,484557,484723,484896,485072,485222,
90020,0,34,583,3047,8436,16980,28876,42888,58561,75029,91917,108770,125301,141247,156567,170968,184830,197906,210323,222012,232959,243404,253122,262442,271079,279249,287014,294228,301001,307678,313706,319500,325089,330309,335176,339815,344149,348296,352243,355885,359408,362831,366034,369064,371860,374607,377267,379791,382132,384478,386615,388734,390723,392669,394486,396285,398003,399620,401275,402709,404114,405453,406732,407981,409202,410333,411402,412428,413477,414422,415311,416235,417089,417901,418722,419496,420222,420959,421656,422297,422896,423498,424080,424614,425195,425720,426215,426667,427135,427607,428049,428497,428884,429313,429728,430064,430405,430757,431104,431419,431738,432010,432295,432582,432818,433065,433326,433566,433784,434005,434215,434416,434639,434835,435032,435243,435441,435612,435781,
90030,0,22,299,1658,5065,11130,19832,30562,42948,56169,69873,83899,97865,111549,124887,137774,149988,161690,172759,183385,193377,203018,211882,220550,228576,236144,243523,250282,256739,262807,268578,274070,279211,284142,288783,293144,297393,301411,305350,308889,312282,315412,318500,321422,324313,326931,329436,331872,334197,336388,338486,340480,342332,344148,345936,347652,349217,350755,352332,353751,355176,356471,357734,358960,360080,361187,362255,363285,364284,365163,366057,366921,367729,368578,369353,370078,370837,371557,372158,372799,373451,374012,374554,375148,375701,376227,376743,377232,377696,378134,378562,378989,379399,379806,380140,380484,380839,381165,381499,381801,382118,382412,382717,382970,383227,383520,383748,383976,384198,384435,384649,384874,385085,385275,385436,385631,385808,385982,386143,
90040,0,7,136,850,2932,6851,12881,20672,29777,40179,51016,62329,73618,84949,96328,107197,117809,128008,137711,147071,156065,164601,172680,180281,187584,194760,201313,207553,213574,219154,224433,229452,234312,239008,243320,247369,251212,254841,258405,261665,264864,267965,270888,273647,276231,278800,281184,283494,285652,287684,289688,291632,293496,295247,296981,298588,300142,301684,303073,304395,305720,306941,308253,309453,310547,311674,312681,313641,314591,315544,316418,317267,318034,318792,319556,320285,321005,321634,322311,322959,323546,324140,324682,325251,325790,326319,326809,327295,327756,328154,328584,329037,329397,329769,330154,330487,330834,331133,331457,331772,332078,332330,332615,332890,333147,333373,333601,333826,334087,334318,334538,334730,334894,335088,335310,335503,335675,335831,336014,
90050,0,2,46,370,1467,3699,7457,12544,18987,26380,34598,43283,52061,61210,70286,79192,87996,96555,104836,112846,120437,127939,135087,141853,148191,154461,160257,165782,171108,176206,181065,185736,190189,194386,198398,202183,205887,209151,212450,215626,218686,221582,224350,226974,229351,231748,233956,236221,238359,240433,242322,244152,245950,247659,249242,250802,252297,253691,255071,256413,257618,258797,259908,261025,262077,263100,264031,265017,265920,266760,267609,268435,269221,269974,270721,271408,272105,272719,273358,273967,274548,275111,275623,276139,276630,277080,277585,278046,278530,278969,279385,279736,280142,280495,280850,281172,281515,281859,282194,282469,282751,283026,283317,283568,283862,284102,284340,284576,284793,285020,285240,285447,285650,285854,286023,286186,286364,286535,286717,
90060,0,0,22,196,838,2321,4919,8745,13816,19796,26385,33549,41102,48758,56455,64261,71938,79606,87175,94236,101142,107816,114301,120442,126286,132049,137473,142641,147441,152183,156594,160905,165042,168877,172668,176267,179690,183002,186105,188965,191761,194472,197021,199552,201964,204173,206382,208451,210449,212331,214201,215978,217653,219229,220770,222192,223650,225008,226296,227606,228857,230041,231182,232223,233293,234304,235272,236200,237162,238002,238784,239546,240262,240961,241656,242354,243000,243619,244218,244806,245341,245872,246448,246954,247446,247960,248394,248781,249243,249652,250062,250438,250808,251154,251492,251808,252148,252470,252772,253037,253324,253616,253847,254111,254364,254598,254821,255070,255278,255465,255670,255856,256045,256230,256426,256590,256766,256943,257112,
90070,0,0,12,109,513,1490,3338,6152,9941,14420,19683,25374,31525,37873,44516,51268,58009,64639,71041,77263,83416,89409,95018,100531,105840,111027,115947,120618,125199,129612,133771,137689,141578,145270,148848,152171,155322,158227,161192,163837,166527,169055,171448,173880,176122,178314,180381,182269,184108,185907,187606,189168,190777,192367,193799,195161,196516,197814,199053,200224,201340,202399,203446,204468,205479,206443,207402,208266,209116,209922,210674,211408,212134,212869,213560,214232,214902,215500,216034,216599,217167,217697,218190,218644,219131,219611,220071,220475,220884,221287,221689,222076,222408,222760,223065,223364,223702,224013,224323,224633,224888,225142,225397,225635,225859,226119,226344,226562,226757,226974,227153,227350,227558,227754,227917,228084,228276,228415,228565,
90080,0,0,2,52,296,850,2038,3863,6411,9724,13689,18093,23013,28046,33360,38826,44267,49677,55022,60406,65743,71024,76071,80872,85551,90126,94506,98767,102726,106576,110361,113791,117309,120590,123720,126749,129723,132625,135322,137855,140311,142636,144926,147023,149102,151055,152947,154785,156520,158351,159982,161566,163104,164563,165925,167248,168460,169678,170812,171898,173019,174060,175032,175961,176936,177842,178710,179516,180353,181118,181848,182560,183260,183923,184529,185195,185787,186393,186917,187443,187972,188459,188935,189389,189818,190253,190669,191048,191428,191808,192182,192524,192867,193207,193542,193845,194157,194451,194736,194996,195264,195523,195773,196030,196258,196500,196719,196940,197149,197320,197532,197688,197862,198023,198201,198362,198505,198661,198799,
90090,0,0,0,15,137,472,1141,2286,4016,6220,8972,12124,15806,19688,23686,27981,32307,36710,41117,45489,49784,54007,58334,62559,66528,70464,74345,78116,81756,85095,88382,91568,94639,97581,100436,103124,105700,108189,110599,112985,115189,117322,119394,121324,123175,124961,126715,128501,130098,131634,133094,134572,135925,137224,138518,139712,140907,142045,143151,144219,145272,146238,147137,148056,148907,149782,150601,151370,152171,152915,153610,154264,154920,155557,156176,156805,157373,157881,158392,158908,159393,159909,160353,160790,161236,161622,162042,162415,162807,163165,163491,163823,164147,164459,164743,165038,165305,165575,165847,166093,166325,166568,166783,167020,167234,167452,167667,167886,168091,168273,168474,168676,168856,169014,169166,169337,169473,169600,169728,
90100,0,0,0,10,46,186,543,1150,2107,3467,5321,7473,9922,12714,15633,18725,21958,25316,28800,32225,35717,39109,42561,45976,49361,52593,55716,58833,61756,64594,67390,70115,72715,75317,77711,80022,82262,84451,86605,88678,90580,92452,94308,96057,97774,99393,100928,102466,103883,105224,106564,107841,109062,110252,111366,112541,113645,114653,115620,116560,117534,118409,119318,120132,120957,121710,122467,123214,123887,124561,125183,125811,126390,126960,127509,128016,128524,129044,129506,129980,130484,130905,131353,131787,132164,132570,132919,133252,133598,133961,134315,134641,134950,135242,135525,135800,136078,136333,136592,136837,137047,137262,137473,137670,137875,138054,138255,138471,138654,138834,138995,139167,139308,139449,139591,139739,139881,140020,140156,
90110,0,0,0,1,16,88,256,596,1175,2057,3199,4585,6294,8224,10308,12549,15006,17591,20317,23039,25700,28351,31106,33773,36427,39038,41566,44131,46566,48996,51395,53731,55912,58065,60148,62141,64081,65968,67775,69531,71228,72938,74599,76163,77675,79162,80514,81891,83206,84424,85651,86859,87963,89032,90072,91055,92059,92970,93900,94753,95580,96372,97204,97946,98704,99396,100063,100702,101350,101931,102519,103074,103629,104155,104697,105195,105691,106156,106574,107033,107452,107868,108261,108644,109020,109383,109748,110061,110384,110720,111055,111333,111589,111888,112135,112398,112655,112909,113128,113362,113565,113773,113992,114157,114347,114559,114714,114887,115062,115219,115394,115563,115697,115863,116000,116131,116259,116386,116508,
90120,0,0,0,0,3,29,95,246,527,999,1675,2479,3501,4676,6078,7610,9319,11087,12993,14974,16898,18894,20836,22809,24846,26901,28875,30883,32846,34812,36779,38669,40479,42287,44020,45607,47237,48856,50364,51865,53365,54725,56105,57429,58678,59914,61151,62373,63498,64605,65652,66615,67555,68453,69355,70173,71024,71800,72577,73343,74090,74767,75421,76100,76764,77437,78019,78598,79151,79648,80175,80665,81125,81602,82058,82525,82969,83386,83759,84150,84552,84923,85279,85596,85908,86217,86534,86873,87181,87472,87739,88007,88256,88481,88713,88951,89162,89385,89576,89778,89994,90182,90376,90552,90720,90890,91039,91223,91371,91516,91670,91823,91952,92100,92223,92348,92459,92574,92689,
90130,0,0,0,0,1,4,29,75,195,398,676,1102,1623,2271,3002,3870,4838,5916,7061,8316,9667,10941,12240,13590,14983,16454,17880,19299,20675,22118,23578,24941,26267,27633,28913,30177,31477,32632,33816,34942,36095,37186,38261,39302,40320,41261,42210,43086,43976,44874,45718,46527,47346,48068,48818,49536,50221,50938,51579,52197,52798,53364,53964,54510,55016,55523,56047,56556,57019,57499,57936,58360,58734,59134,59521,59882,60243,60584,60947,61276,61588,61890,62206,62512,62798,63102,63384,63633,63911,64159,64408,64605,64813,65040,65245,65454,65634,65825,65998,66161,66330,66487,66655,66822,66999,67151,67315,67446,67583,67710,67857,67994,68111,68238,68354,68447,68549,68665,68772,
90140,0,0,0,0,0,2,5,14,33,77,159,292,458,677,1005,1372,1805,2296,2872,3503,4172,4853,5572,6336,7144,7956,8769,9640,10453,11303,12206,13019,13923,14749,15565,16367,17158,17966,18756,19557,20313,21035,21809,22551,23254,23978,24647,25353,26005,26639,27261,27839,28440,29006,29556,30108,30589,31118,31580,32059,32514,32941,33374,33811,34193,34600,34999,35372,35747,36109,36478,36845,37153,37467,37774,38043,38320,38607,38871,39096,39361,39600,39822,40059,40282,40516,40699,40897,41109,41319,41475,41668,41842,42029,42197,42356,42507,42653,42808,42966,43103,43251,43379,43493,43611,43714,43820,43936,44050,44150,44247,44355,44449,44540,44646,44723,44801,44897,44983,
90151,2051,23226,72707,139211,210889,280528,344730,402632,454534,500550,541310,577985,610740,639812,666063,689302,710589,729877,747409,763595,778168,791380,803691,814950,825415,834913,843742,852073,859779,866829,873597,879836,885687,891207,896221,900975,905561,909744,913851,917695,921070,924450,927608,930611,933438,936100,938721,941076,943358,945508,947607,949612,951521,953281,955042,956706,958226,959702,961074,962458,963697,964970,966110,967227,968333,969381,970393,971370,972268,973165,973984,974714,975460,976135,976877,977538,978177,978814,979360,979928,980525,981067,981583,982090,982540,982987,983435,983876,984291,984666,985045,985390,985749,986095,986442,986729,987056,987330,987630,987864,988131,988403,988650,988882,989102,989297,989494,989711,989910,990115,990290,990485,990659,990830,991001,991173,991319,991479,991608,
90160,353,7039,28872,65012,109756,157766,204834,250033,291981,330807,365881,398216,427065,453620,477738,499733,519573,537643,554328,569763,583924,596995,609121,620220,630558,640171,648991,657341,665219,672499,679247,685589,691561,697219,702614,707288,712006,716439,720532,724316,727920,731390,734617,737756,740740,743393,746086,748607,751079,753264,755445,757585,759629,761583,763408,765151,766748,768275,769750,771121,772466,773770,775007,776237,777429,778499,779526,780543,781516,782489,783369,784201,784999,785805,786546,787231,787928,788554,789170,789816,790422,791009,791563,792087,792593,793053,793525,793990,794435,794859,795295,795676,796040,796404,796746,797076,797415,797727,798038,798321,798622,798908,799164,799429,799641,799874,800105,800324,800531,800723,800933,801131,801337,801496,801660,801817,801992,802149,802280,
90170,115,3287,15949,39923,72352,109031,147263,184769,220898,254492,286218,314802,341089,365425,387626,408333,427206,444482,460460,475109,488791,501475,513183,523952,533942,543340,552119,560297,568013,575052,581724,587974,593896,599387,604456,609435,614037,618451,622625,626520,630212,633676,636977,640110,643114,645982,648614,651255,653613,655830,657988,660020,662026,663885,665689,667389,669001,670527,672049,673504,674868,676228,677427,678591,679780,680930,681985,682950,683948,684854,685775,686637,687449,688318,689096,689811,690524,691214,691862,692429,693030,693623,694192,694738,695231,695743,696187,696616,697036,697478,697882,698291,698626,698998,699324,699692,700008,700321,700662,700922,701222,701523,701795,702061,702345,702590,702810,703041,703244,703477,703682,703906,704108,704296,704483,704628,704819,704965,705123,
90180,32,1361,7824,22277,44058,70382,99059,128159,156946,184827,211342,236207,259375,281098,301027,319735,337120,353029,367782,381551,394411,406193,417279,427496,437279,446313,454707,462555,469944,476859,483367,489476,495169,500665,505660,510437,514905,519220,523240,527018,530573,534081,537381,540403,543320,546156,548816,551342,553744,555979,558213,560323,562239,564195,566075,567863,569486,571075,572574,573996,575386,576744,578053,579241,580453,581572,582636,583615,584619,585519,586451,587313,588127,588922,589685,590439,591168,591871,592521,593145,593760,594335,594934,595491,596048,596546,597081,597498,597928,598355,598774,599162,599533,599904,600274,600611,600962,601278,601588,601896,602203,602459,602775,603014,603282,603524,603774,604016,604226,604449,604660,604897,605096,605307,605493,605645,605828,605978,606154,
90190,4,393,3144,10683,23204,40102,59991,81134,102833,124423,145498,165910,185219,203588,220631,236942,252187,266484,279678,292079,303535,314405,324736,334188,343168,351513,359371,366708,373696,380184,386503,392460,397928,402993,407758,412305,416748,420889,424846,428545,432076,435456,438531,441599,444428,447204,449645,452093,454466,456734,458944,461032,463020,464884,466584,468312,469948,471519,472984,474337,475669,476977,478240,479465,480641,481739,482858,483848,484870,485748,486672,487524,488369,489178,489932,490697,491409,492121,492775,493387,493967,494557,495082,495634,496187,496695,497187,497661,498149,498559,499019,499423,499770,500116,500484,500831,501154,501481,501814,502088,502381,502693,502946,503226,503476,503705,503931,504184,504419,504630,504851,505049,505242,505442,505651,505849,506014,506178,506338,
90200,3,213,1887,6889,15939,28785,44275,61566,79724,98255,116461,134231,151320,168020,183321,198151,211935,225011,237297,249077,260016,269997,279504,288455,296942,305004,312395,319529,326140,332459,338266,343865,349133,354111,358849,363265,367430,371357,375092,378642,382027,385310,388372,391300,394065,396686,399162,401550,403836,406085,408133,410109,411985,413798,415515,417196,418781,420277,421728,423049,424375,425729,426960,428182,429350,430453,431461,432452,433442,434389,435276,436165,437030,437781,438498,439209,439896,440606,441263,441885,442482,443065,443637,444173,444731,445251,445729,446184,446637,447083,447508,447871,448260,448654,449005,449357,449699,450017,450316,450621,450941,451247,451522,451777,452045,452294,452533,452764,452962,453189,453416,453624,453851,454023,454214,454383,454562,454741,454929,
90210,1,90,1022,4058,10164,19501,31257,44802,59485,74904,90256,105561,120323,134678,148463,161713,174249,185977,197146,207953,217778,227122,236060,244474,252313,259680,266660,273286,279459,285441,290912,296186,301176,305858,310393,314536,318548,322304,325976,329460,332672,335815,338844,341568,344392,346980,349441,351873,354107,356236,358275,360225,362096,363869,365613,367196,368750,370295,371739,373123,374400,375714,376922,378066,379169,380225,381254,382198,383188,384101,384959,385776,386585,387334,388093,388808,389474,390147,390761,391426,392055,392641,393212,393730,394227,394750,395240,395704,396159,396593,396990,397410,397768,398164,398538,398856,399199,399507,399866,400172,400476,400763,401052,401312,401579,401828,402046,402271,402509,402711,402923,403135,403305,403501,403708,403882,404070,404233,404400,
90220,0,40,454,2201,6077,12207,20906,31207,42547,54672,67374,80132,92613,104926,116785,128194,139073,149463,159486,168927,177976,186445,194511,202219,209558,216384,222770,228877,234649,240319,245631,250524,255301,259761,263989,268086,271891,275531,278963,282164,285285,288204,291098,293877,296412,298786,301157,303435,305576,307541,309415,311333,313104,314840,316542,318159,319723,321144,322482,323814,325077,326283,327483,328619,329684,330707,331690,332625,333546,334401,335276,336058,336849,337599,338338,339035,339724,340380,341009,341573,342157,342735,343267,343783,344305,344796,345264,345703,346113,346546,347010,347451,347810,348167,348548,348878,349234,349539,349831,350104,350382,350670,350923,351154,351395,351667,351892,352142,352373,352591,352768,352964,353155,353339,353526,353684,353867,354036,354193,
90230,0,10,189,1038,3185,7156,12847,19993,28423,37662,47284,57283,67321,77371,87105,96526,105708,114946,123514,131805,139714,147255,154456,161205,167737,173910,179904,185533,190907,196008,200862,205361,209655,213753,217654,221391,224928,228240,231394,234394,237335,240219,242793,245343,247756,250100,252439,254502,256484,258392,260322,262019,263701,265263,266827,268245,269682,271088,272463,273775,275022,276162,277260,278356,279350,280334,281284,282210,283114,283950,284705,285507,286277,286988,287616,288268,288873,289542,290195,290795,291373,291913,292460,292985,293480,293951,294401,294833,295270,295681,296100,296470,296826,297169,297521,297862,298191,298486,298787,299068,299319,299584,299826,300117,300378,300622,300845,301110,301316,301538,301742,301944,302120,302297,302496,302689,302854,303020,303174,
90240,0,3,117,612,2038,4730,8924,14488,21008,28458,36474,45060,53688,62238,70926,79443,87721,95842,103462,110947,118085,124940,131531,137921,144058,149634,155075,160268,165354,169922,174454,178774,182933,186762,190505,194001,197416,200614,203749,206701,209442,212178,214600,217104,219356,221548,223715,225765,227661,229524,231244,232930,234546,236103,237592,238968,240375,241711,242929,244097,245282,246457,247536,248600,249587,250523,251378,252320,253144,253999,254812,255529,256235,256921,257564,258196,258783,259383,260003,260528,261031,261589,262129,262595,263084,263563,264006,264415,264847,265237,265648,265983,266338,266702,267047,267361,267694,267994,268279,268552,268835,269096,269349,269602,269867,270109,270335,270554,270746,270959,271148,271325,271506,271675,271826,272018,272173,272347,272509,
90250,0,3,49,365,1305,3202,6131,10257,15335,21241,27786,34626,41608,48755,56031,63239,70249,77260,84116,90553,97106,103308,109188,114874,120352,125607,130600,135463,140053,144504,148679,152707,156710,160246,163704,167004,170041,173129,175978,178664,181243,183732,186154,188409,190633,192713,194725,196662,198529,200251,201973,203602,205168,206658,208116,209476,210804,212101,213294,214476,215546,216591,217633,218650,219677,220603,221508,222372,223215,223980,224686,225463,226168,226876,227525,228165,228751,229315,229872,230457,230973,231486,231971,232420,232871,233277,233716,234146,234544,234939,235317,235654,236009,236314,236646,236968,237240,237522,237784,238050,238336,238590,238832,239066,239273,239492,239718,239964,240170,240382,240572,240755,240925,241092,241255,241403,241569,241701,241840,
90260,0,2,22,162,667,1778,3723,6641,10278,14770,19714,25070,30901,36961,42813,48876,54944,60865,66789,72518,78150,83575,88764,93816,98565,103219,107656,112036,116138,120062,123887,127589,131010,134364,137574,140593,143448,146181,148898,151438,153811,156055,158367,160497,162519,164452,166302,168125,169845,171555,173105,174608,176055,177490,178829,180117,181300,182561,183764,184843,185854,186826,187825,188747,189614,190473,191337,192208,193022,193790,194545,195250,195912,196590,197234,197812,198429,198966,199524,200016,200550,201019,201484,201910,202350,202765,203186,203586,203992,204345,204680,205047,205403,205698,205996,206334,206607,206884,207174,207449,207686,207932,208177,208412,208634,208845,209053,209296,209500,209698,209865,210034,210214,210398,210559,210723,210877,211042,211187,
90270,0,0,10,73,353,967,2162,4019,6520,9505,13115,17147,21469,26176,30919,35873,40730,45635,50549,55313,60048,64561,69044,73450,77605,81650,85572,89379,93034,96512,99790,103057,106243,109246,112065,114726,117284,119931,122394,124630,126848,128949,131025,133007,134892,136748,138447,140143,141754,143282,144717,146129,147474,148767,150066,151261,152364,153506,154532,155551,156526,157496,158406,159279,160154,160964,161776,162589,163361,164058,164752,165418,166067,166667,167236,167820,168400,168939,169466,169969,170488,170937,171404,171836,172266,172661,173060,173410,173798,174116,174477,174813,175148,175440,175757,176018,176286,176548,176822,177099,177328,177579,177798,177993,178199,178416,178623,178804,178994,179186,179367,179531,179675,179826,179983,180138,180282,180411,180553,
90280,0,0,3,27,141,449,1081,2118,3612,5628,8148,10967,14132,17366,21027,24675,28474,32253,36175,40054,43813,47513,51249,54883,58314,61743,65073,68408,71528,74583,77485,80230,82889,85475,87928,90324,92658,94881,97034,99217,101249,103200,104963,106698,108373,110021,111599,113183,114625,116025,117379,118706,119894,121110,122288,123337,124377,125421,126416,127381,128290,129207,130078,130899,131694,132455,133174,133825,134433,135073,135690,136281,136916,137451,138008,138544,139052,139545,140057,140527,140976,141398,141812,142246,142643,143011,143367,143718,144044,144360,144660,144985,145307,145597,145885,146171,146437,146686,146921,147153,147385,147589,147810,148022,148208,148398,148587,148762,148950,149115,149309,149446,149581,149737,149869,150028,150168,150277,150444,
90290,0,0,0,9,55,207,543,1167,2135,3382,4941,6822,8985,11421,14067,16898,19748,22680,25756,28735,31674,34755,37720,40617,43448,46276,49022,51733,54396,56988,59435,61760,64030,66257,68464,70524,72499,74434,76297,78090,79918,81580,83251,84874,86341,87737,89091,90410,91736,92981,94226,95440,96552,97639,98652,99689,100626,101548,102488,103376,104224,105037,105796,106524,107254,107956,108630,109255,109915,110514,111087,111632,112170,112702,113197,113685,114194,114646,115104,115550,115951,116408,116793,117173,117519,117879,118246,118578,118896,119248,119577,119874,120140,120375,120616,120872,121103,121341,121602,121822,122066,122279,122477,122651,122855,123033,123200,123374,123541,123708,123858,124033,124181,124318,124458,124586,124700,124840,124973,
90300,0,0,0,3,16,85,222,493,977,1712,2622,3762,5146,6727,8458,10353,12320,14414,16545,18761,21013,23266,25543,27837,30125,32297,34458,36568,38708,40805,42788,44742,46589,48374,50131,51812,53513,55220,56754,58358,59815,61210,62604,63981,65227,66492,67658,68865,70018,71052,72139,73146,74097,75069,75963,76879,77721,78550,79251,80010,80672,81412,82083,82744,83405,84007,84634,85190,85749,86284,86794,87278,87761,88227,88642,89073,89494,89889,90311,90705,91054,91413,91728,92060,92391,92740,93056,93370,93643,93957,94218,94491,94746,95000,95227,95460,95693,95917,96130,96354,96560,96758,96934,97112,97296,97455,97614,97766,97918,98060,98190,98353,98501,98623,98756,98875,99002,99117,99245,
90310,0,0,0,2,5,14,67,166,356,704,1116,1675,2390,3293,4253,5384,6673,8030,9379,10816,12289,13852,15396,16937,18469,19989,21504,23050,24562,26060,27583,29079,30572,31964,33379,34643,35901,37140,38371,39614,40778,41960,43107,44138,45171,46146,47143,48076,48978,49854,50679,51490,52263,53022,53771,54491,55172,55909,56592,57237,57841,58434,59046,59591,60121,60649,61170,61680,62161,62648,63072,63481,63909,64342,64729,65095,65460,65816,66152,66480,66812,67126,67448,67746,68019,68284,68574,68844,69111,69367,69615,69846,70052,70279,70468,70652,70828,71032,71214,71379,71557,71724,71882,72041,72199,72375,72540,72667,72803,72937,73066,73175,73280,73403,73529,73647,73732,73833,73951,
90320,0,0,0,0,0,3,13,42,91,180,298,499,772,1130,1554,1992,2552,3212,3918,4682,5443,6236,7156,8039,8928,9875,10788,11703,12641,13571,14478,15398,16301,17231,18146,19030,19892,20771,21638,22463,23298,24088,24856,25611,26362,27111,27837,28563,29240,29872,30502,31139,31734,32350,32909,33445,33988,34496,34980,35477,35929,36426,36894,37330,37734,38163,38508,38910,39281,39590,39945,40278,40642,40966,41279,41568,41849,42130,42362,42623,42858,43097,43320,43565,43792,44011,44218,44409,44633,44841,45032,45216,45410,45576,45743,45898,46057,46218,46369,46531,46678,46830,46963,47090,47199,47301,47417,47525,47664,47778,47883,47990,48078,48173,48270,48356,48451,48519,48618,
903312,5462,40431,105107,180560,256307,326781,389694,445614,495205,538745,577449,611500,641758,669076,693520,715370,735176,753079,769464,784232,797798,810073,821618,832374,842204,851226,859628,867283,874601,881157,887391,893212,898711,903741,908449,912966,917211,921220,925025,928537,931936,935071,938113,940978,943656,946151,948495,950789,953001,955086,957009,958798,960652,962294,963923,965437,966927,968332,969626,970878,972095,973208,974320,975368,976402,977368,978283,979145,980046,980854,981696,982430,983152,983841,984528,985188,985819,986415,986956,987519,988027,988488,989026,989461,989901,990324,990758,991177,991574,991963,992325,992684,993057,993406,993720,994015,994280,994567,994840,995110,995370,995600,995824,996052,996266,996490,996682,996869,997076,997256,997440,997593,997772,997925,998087,998245,998396,998537,998663,
90340,1156,14189,46423,91921,142779,194568,243647,288965,330643,368294,402055,433167,461141,486584,509526,530475,549279,566422,582104,596700,610100,622579,633963,644389,654113,663200,671661,679440,686847,693737,699942,705985,711658,716950,721835,726673,731084,735125,739000,742645,746070,749323,752329,755338,758059,760747,763315,765683,767944,770073,772158,774118,775985,777747,779451,781079,782606,784110,785577,786939,788227,789458,790617,791728,792750,793770,794812,795750,796654,797518,798319,799156,799896,800608,801311,801992,802671,803369,803962,804597,805151,805685,806218,806772,807250,807732,808146,808593,809008,809460,809837,810231,810572,810911,811222,811549,811848,812147,812443,812728,813003,813257,813499,813738,813977,814201,814439,814663,814854,815051,815246,815434,815618,815784,815958,816130,816283,816449,816604,
90350,470,7183,27246,59112,97478,138460,179296,218551,254709,288608,319520,347745,373586,397331,418822,438641,456702,473403,488741,502769,515840,527773,538799,549303,558679,567488,575928,583555,590851,597651,603941,609980,615539,620748,625587,630230,634586,638727,642636,646372,649884,653089,656304,659158,662026,664715,667211,669643,671904,674062,676155,678113,679990,681797,683462,685108,686650,688173,689597,690926,692198,693472,694703,695860,696887,697999,699043,700045,701027,701932,702791,703647,704440,705196,705981,706678,707363,707974,708575,709185,709758,710280,710812,711339,711842,712341,712836,713279,713696,714142,714507,714916,715326,715723,716065,716347,716682,717009,717304,717597,717861,718134,718367,718625,718848,719067,719278,719484,719701,719899,720090,720268,720466,720664,720824,720998,721159,721295,721456,
90360,148,3075,14133,34578,61906,92572,124606,156211,186384,215209,242205,267103,290198,311439,331095,349396,366264,381820,396043,409258,421584,432832,443479,453541,462916,471446,479549,487101,494115,500820,507129,512870,518215,523270,528148,532675,537061,541222,545129,548872,552311,555547,558689,561640,564418,567137,569698,572145,574481,576595,578626,580566,582479,584252,585930,587478,589009,590405,591825,593144,594521,595684,596906,598047,599112,600202,601291,602211,603124,603983,604907,605725,606542,607327,608066,608783,609486,610108,610750,611364,611958,612514,613085,613589,614105,614585,615050,615502,615939,616401,616786,617204,617630,617977,618354,618703,619043,619338,619641,619921,620189,620462,620702,620946,621206,621448,621651,621873,622087,622296,622521,622711,622887,623072,623255,623427,623585,623747,623894,
90370,40,1102,6389,17840,34682,55653,78849,102597,126340,149346,171607,192391,211900,230521,247690,263821,279032,292900,305982,318067,329179,339812,349572,358798,367357,375473,383112,390061,396679,402931,408760,414326,419586,424420,429097,433524,437688,441607,445360,448994,452443,455666,458749,461647,464350,466910,469354,471699,474025,476176,478255,480249,482176,483976,485652,487285,488808,490315,491685,493065,494370,495595,496774,497951,499080,500139,501128,502094,503044,503948,504803,505688,506474,507243,507962,508708,509376,510062,510701,511300,511860,512397,512922,513443,513970,514456,514932,515381,515823,516237,516630,517020,517407,517775,518127,518470,518784,519107,519422,519696,519986,520261,520532,520804,521065,521307,521537,521761,521985,522182,522390,522597,522795,522995,523164,523329,523499,523661,523835,
90380,9,574,3939,11827,24199,40961,59743,79821,100095,120036,139596,158235,175894,192713,208418,223339,237102,250050,262144,273593,284149,294180,303675,312456,320648,328448,335732,342463,349042,355101,360775,366161,371263,376130,380652,384921,389023,392775,396382,399743,403013,406278,409228,412056,414763,417333,419789,422046,424234,426354,428332,430324,432097,433895,435541,437078,438616,440074,441501,442812,444136,445407,446553,447717,448824,449878,450912,451955,452837,453713,454561,455376,456150,456915,457631,458342,459014,459615,460254,460835,461382,461964,462505,463011,463476,463973,464439,464918,465322,465764,466182,466597,466972,467314,467637,467988,468313,468609,468904,469192,469502,469756,470016,470275,470551,470809,471037,471259,471465,471663,471882,472096,472275,472463,472621,472783,472939,473097,473244,
90390,7,272,2157,7388,16181,28366,43056,59127,75755,92849,109622,125979,141598,156573,170812,184195,197059,208819,219936,230598,240431,249713,258491,266831,274647,281952,288960,295433,301791,307540,313009,318183,323052,327710,332024,336153,340128,343847,347378,350666,354015,356999,359896,362666,365303,367833,370242,372508,374676,376686,378669,380511,382306,384055,385760,387352,388810,390171,391542,392852,394105,395285,396381,397483,398531,399624,400609,401585,402484,403353,404162,404987,405751,406514,407244,407953,408642,409244,409849,410456,411033,411607,412118,412608,413089,413570,414053,414517,414960,415384,415753,416107,416495,416865,417216,417535,417860,418171,418491,418787,419083,419371,419647,419937,420155,420398,420651,420870,421066,421264,421452,421649,421843,422030,422205,422392,422545,422680,422852,
90400,1,125,1150,4224,9949,18507,29371,41883,55292,69141,82908,96671,109865,122736,134885,146674,157859,168600,178745,188380,197358,205800,213803,221422,228681,235374,241756,247871,253625,259111,264194,269118,273667,278091,282293,286112,289900,293441,296855,300029,303079,305991,308631,311303,313722,316166,318439,320653,322711,324674,326585,328412,330119,331740,333317,334792,336248,337613,338911,340239,341449,342595,343752,344829,345823,346813,347778,348671,349630,350495,351272,352122,352855,353605,354356,354994,355655,356249,356863,357457,358006,358530,359054,359581,360111,360584,361047,361528,361960,362394,362811,363162,363535,363906,364277,364623,364913,365197,365483,365761,366049,366336,366602,366855,367100,367355,367584,367821,368024,368241,368441,368630,368808,368962,369131,369292,369457,369629,369771,
90410,0,42,482,2094,5639,11163,18549,27658,37717,48426,59594,70736,81657,92323,102828,112794,122419,131686,140559,148972,156890,164484,171861,178797,185437,191626,197493,202981,208240,213265,217967,222558,226826,230832,234804,238490,241812,245041,248139,251054,253890,256597,259086,261601,264017,266253,268398,270379,272456,274359,276172,277966,279609,281204,282744,284161,285533,286948,288269,289505,290700,291821,292918,293999,294987,295935,296874,297769,298636,299456,300189,300919,301631,302302,303026,303683,304271,304857,305381,305917,306473,306997,307510,307992,308476,308897,309335,309781,310202,310634,311029,311420,311821,312204,312521,312852,313159,313450,313753,314040,314319,314579,314835,315083,315327,315548,315770,315989,316191,316391,316581,316765,316922,317087,317256,317435,317614,317763,317914,
90420,0,18,279,1370,3876,7900,13690,20769,28921,37605,46904,56243,65618,75149,84192,93090,101816,110268,118428,126223,133405,140331,147015,153357,159551,165354,170792,175885,180772,185511,189988,194251,198257,202039,205584,209079,212476,215669,218669,221674,224435,227056,229544,231970,234284,236470,238642,240623,242487,244273,246003,247679,249262,250805,252278,253646,254977,256244,257450,258673,259814,260902,261886,262905,263886,264826,265723,266545,267398,268201,268925,269668,270397,271084,271774,272395,273019,273619,274202,274737,275290,275815,276297,276804,277280,277687,278150,278560,278979,279372,279755,280114,280489,280806,281135,281440,281749,282013,282281,282544,282798,283044,283296,283549,283796,283998,284244,284437,284658,284875,285063,285249,285422,285593,285743,285927,286096,286256,286405,
90430,0,13,153,775,2349,5268,9405,14851,21285,28499,36197,44113,51989,59957,67862,75367,82977,90238,97347,104334,110910,117184,123174,128926,134539,139736,144760,149470,154120,158563,162795,166770,170480,174129,177595,180925,184067,187157,190046,192745,195416,197885,200194,202401,204499,206620,208674,210597,212428,214124,215855,217491,218990,220415,221812,223091,224405,225660,226919,228018,229133,230197,231184,232133,233133,234061,234913,235809,236607,237379,238100,238805,239489,240155,240764,241389,241943,242550,243071,243615,244106,244575,245048,245475,245896,246356,246828,247246,247637,248047,248392,248763,249078,249414,249752,250057,250374,250685,250992,251250,251485,251735,251983,252195,252410,252637,252859,253059,253247,253454,253640,253828,254000,254178,254352,254522,254671,254822,254971,
90440,0,1,64,401,1345,3256,6015,9871,14581,20020,26077,32355,38819,45356,52133,58896,65359,71593,77822,83815,89622,95139,100464,105561,110451,115157,119643,124087,128233,132315,136059,139832,143337,146682,149846,152892,155873,158756,161421,163966,166342,168638,170838,173011,174998,176921,178858,180608,182290,183972,185608,187067,188510,189915,191267,192517,193828,195011,196083,197201,198231,199229,200236,201174,202036,202925,203805,204603,205365,206120,206851,207545,208184,208814,209437,210061,210624,211101,211636,212150,212666,213129,213585,214030,214455,214884,215296,215656,216039,216407,216778,217146,217433,217762,218067,218357,218629,218911,219189,219452,219684,219921,220157,220392,220617,220809,221001,221183,221374,221558,221747,221940,222110,222286,222441,222594,222740,222890,223028,
90450,0,1,25,181,681,1769,3575,6223,9520,13415,17918,22762,27857,33041,38365,43719,48989,54343,59612,64713,69568,74495,79005,83529,87994,92302,96313,100146,103902,107361,110693,113932,117200,120148,122994,125759,128405,130899,133295,135594,137830,139948,142033,143930,145864,147672,149424,151093,152755,154229,155752,157125,158449,159709,160933,162155,163322,164467,165500,166530,167508,168471,169387,170249,171104,171932,172690,173482,174193,174876,175560,176241,176934,177571,178130,178641,179177,179727,180221,180731,181181,181634,182065,182497,182906,183301,183669,184027,184414,184745,185100,185444,185734,186032,186308,186592,186902,187178,187437,187698,187948,188183,188421,188620,188859,189081,189261,189468,189648,189816,189984,190142,190313,190456,190611,190735,190866,190981,191128,
90460,0,0,8,67,300,835,1845,3485,5553,8159,11302,14804,18527,22548,26637,30723,34870,39049,43242,47484,51513,55409,59359,63065,66642,70238,73688,76975,80199,83322,86298,89061,91755,94368,96949,99294,101689,103941,106113,108171,110200,112148,114005,115748,117413,119034,120611,122069,123531,124903,126243,127530,128772,129951,131040,132152,133188,134211,135227,136143,137017,137876,138718,139546,140315,141109,141831,142547,143257,143870,144509,145103,145702,146298,146869,147373,147836,148369,148817,149259,149670,150075,150472,150876,151249,151610,151995,152372,152700,153032,153363,153685,153950,154220,154486,154760,155030,155280,155545,155751,155979,156195,156407,156597,156802,157008,157163,157351,157522,157677,157867,158031,158187,158356,158520,158663,158807,158941,159068,
90470,0,1,4,29,143,441,1009,1909,3199,4825,6946,9321,11980,14773,17812,20951,24136,27342,30726,34155,37386,40594,43767,46880,49989,53055,55921,58859,61596,64157,66720,69183,71536,73821,76010,78096,80153,82193,84094,85933,87650,89322,90982,92550,94154,95679,97029,98401,99750,100986,102241,103437,104575,105626,106610,107598,108557,109481,110422,111245,112099,112915,113707,114472,115194,115898,116549,117177,117816,118411,119014,119617,120105,120668,121184,121677,122173,122604,123076,123493,123885,124307,124649,125027,125410,125794,126122,126483,126817,127122,127443,127729,128034,128290,128541,128783,129037,129258,129487,129703,129912,130113,130316,130515,130694,130878,131047,131203,131369,131525,131709,131878,132055,132189,132315,132425,132544,132659,132777,
90480,0,0,0,6,40,156,402,865,1554,2484,3760,5271,6951,8856,10949,13206,15522,17843,20201,22720,25195,27712,30205,32666,35031,37374,39727,41979,44191,46287,48365,50406,52390,54282,56159,57905,59641,61331,62957,64521,66039,67479,68947,70271,71599,72829,74007,75212,76427,77570,78617,79662,80660,81576,82532,83399,84264,85090,85850,86632,87380,88124,88799,89442,90052,90667,91271,91847,92404,92927,93442,93934,94407,94880,95355,95768,96185,96605,97007,97402,97749,98117,98483,98822,99117,99445,99747,100023,100328,100592,100869,101129,101365,101588,101841,102090,102296,102527,102725,102908,103101,103283,103463,103612,103807,103965,104114,104266,104422,104590,104728,104857,104979,105099,105248,105380,105493,105604,105716,
90490,0,0,0,0,12,46,126,292,621,1056,1712,2444,3433,4489,5687,7034,8462,9928,11540,13195,14803,16529,18172,19944,21584,23238,24961,26630,28355,30015,31591,33191,34658,36134,37543,38997,40298,41649,42905,44071,45269,46373,47470,48541,49660,50666,51642,52586,53552,54465,55343,56158,56994,57758,58504,59288,60015,60751,61424,62036,62644,63242,63794,64365,64925,65460,65963,66493,66930,67397,67828,68269,68666,69073,69479,69873,70238,70613,70974,71301,71626,71975,72292,72543,72838,73097,73389,73661,73934,74204,74433,74674,74883,75071,75255,75434,75647,75832,76013,76181,76333,76475,76655,76796,76944,77097,77226,77370,77496,77622,77765,77895,78016,78119,78206,78320,78432,78536,78638,
90500,0,0,0,0,1,5,23,58,130,261,476,767,1151,1654,2160,2783,3457,4192,4963,5833,6761,7730,8728,9702,10709,11793,12823,13822,14847,15876,16909,17919,18942,19960,20915,21845,22834,23673,24581,25488,26361,27158,27986,28740,29515,30228,30929,31669,32359,33059,33700,34321,34919,35511,36094,36659,37197,37759,38261,38735,39202,39692,40144,40586,41006,41439,41829,42198,42568,42924,43312,43640,43984,44297,44619,44936,45236,45522,45754,46022,46269,46538,46798,47038,47242,47463,47650,47866,48068,48263,48494,48681,48874,49066,49207,49407,49558,49704,49861,50025,50166,50308,50450,50561,50689,50809,50923,51034,51149,51270,51394,51491,51583,51681,51782,51858,51956,52048,52135,
905146,10757,59289,134320,215862,293645,364083,426386,480379,527786,569342,605899,638601,667449,693129,716037,736490,755288,772384,787907,801930,814665,826562,837416,847320,856487,864862,872815,880275,887128,893328,899266,904888,910019,914881,919438,923657,927707,931466,935070,938411,941577,944562,947373,950142,952565,954915,957184,959342,961440,963360,965243,967011,968668,970276,971826,973264,974635,975928,977250,978468,979594,980712,981773,982828,983753,984675,985546,986413,987240,988035,988798,989567,990263,990977,991603,992262,992830,993401,993923,994455,994997,995494,995945,996403,996812,997224,997659,998078,998458,998804,999153,999485,999826,1000133,1000409,1000654,1000908,1001194,1001471,1001732,1001967,1002239,1002469,1002675,1002883,1003112,1003306,1003488,1003655,1003837,1004008,1004162,1004309,1004480,1004642,1004792,1004937,1005077,1005208,
90522,2729,23096,64371,117062,172616,226683,276695,322148,363347,400544,433615,463360,489985,514120,535883,555923,574112,590728,605588,619366,632137,643920,654851,664952,674303,682752,690817,698179,705135,711481,717645,723315,728630,733607,738330,742806,747010,750954,754567,758127,761506,764659,767548,770345,773016,775571,778109,780350,782553,784572,786480,788412,790127,791825,793410,794910,796371,797794,799137,800407,801629,802877,804036,805086,806173,807091,808023,808954,809810,810679,811525,812291,813025,813731,814398,815080,815753,816326,816924,817485,818084,818636,819174,819633,820123,820587,820984,821421,821835,822263,822624,822972,823329,823631,823923,824232,824519,824793,825074,825338,825609,825864,826116,826354,826553,826777,826992,827186,827381,827578,827789,827959,828138,828288,828435,828591,828747,828889,829034,
90530,1202,12582,39664,78680,122206,166745,209399,249347,286115,320119,350393,377923,403032,425670,446340,465423,482817,498763,513498,526982,539581,550883,561584,571546,580514,589238,597092,604408,611290,617724,623786,629404,634773,639752,644423,648918,653078,657017,660696,664228,667576,670789,673827,676611,679329,681899,684344,686696,688906,690967,692989,694880,696661,698336,699936,701521,703014,704453,705775,707086,708348,709536,710686,711807,712832,713842,714820,715719,716631,717493,718277,719056,719786,720525,721267,721955,722632,723269,723863,724441,724977,725542,726087,726572,727070,727513,727941,728385,728811,729180,729541,729921,730310,730661,731016,731299,731597,731892,732131,732397,732655,732926,733168,733432,733653,733879,734099,734287,734493,734695,734899,735077,735266,735455,735625,735783,735940,736084,736214,
90540,370,5876,22244,48069,80124,114273,148918,182173,213350,242601,269777,294437,317275,338645,357999,375869,392300,407339,421183,433923,445715,456900,467241,476719,485710,493691,501444,508681,515625,521754,527845,533480,538637,543648,548302,552650,556797,560712,564338,567928,571302,574418,577373,580251,582859,585479,587864,590205,592449,594557,596590,598500,600358,602016,603657,605206,606765,608209,609574,610975,612230,613484,614645,615690,616784,617726,618711,619625,620516,621382,622196,623021,623771,624450,625143,625799,626430,627082,627703,628267,628844,629411,629947,630486,630974,631463,631916,632336,632755,633174,633534,633908,634267,634562,634880,635223,635558,635850,636133,636400,636681,636932,637177,637417,637665,637915,638157,638369,638588,638788,638990,639194,639380,639565,639724,639869,640014,640157,640287,
90550,113,2285,10627,25870,46781,71140,96620,122589,147814,171851,194293,215583,235302,253638,270922,286875,301752,315409,328213,340068,351231,361580,370985,379856,388218,396157,403687,410511,417003,423034,428820,434217,439297,443997,448459,452717,456815,460611,464229,467727,470903,474034,477119,479908,482592,485154,487529,489759,491950,494003,495980,497761,499513,501185,502814,504349,505895,507328,508692,509966,511235,512426,513641,514786,515847,516856,517787,518687,519533,520413,521230,522060,522837,523612,524298,524988,525661,526285,526921,527472,528046,528602,529095,529660,530177,530614,531084,531547,531968,532377,532788,533191,533535,533861,534190,534510,534850,535116,535434,535766,536040,536322,536567,536808,537047,537272,537485,537690,537923,538141,538332,538539,538711,538909,539100,539280,539445,539614,539757,
90560,46,1329,6647,17630,33679,53472,74884,97024,118804,139907,160004,179307,197523,214487,230311,245071,258910,271809,283925,295192,305720,315745,324961,333368,341370,349033,356141,362769,369104,375102,380677,385988,390873,395645,400032,404154,408093,411773,415292,418680,421868,424906,427850,430633,433220,435644,437993,440236,442339,444336,446272,448093,449866,451517,453091,454693,456171,457566,458940,460240,461447,462678,463803,464916,465972,467000,467982,468897,469839,470692,471437,472263,473025,473719,474447,475188,475827,476452,477025,477648,478257,478836,479349,479839,480323,480811,481295,481787,482201,482624,483026,483391,483767,484162,484485,484808,485136,485420,485695,485948,486207,486453,486736,486967,487211,487461,487680,487911,488115,488309,488523,488721,488902,489095,489275,489426,489591,489738,489906,
90570,19,684,3927,11456,23242,38340,55412,73496,91906,110194,127965,144829,161023,176166,190532,203875,216634,228444,239583,250151,260096,269319,278120,286244,293778,300982,307597,313910,319915,325535,330797,335843,340641,345278,349547,353521,357344,360979,364367,367532,370608,373572,376309,378978,381513,383961,386247,388483,390508,392566,394458,396303,397961,399712,401308,402793,404263,405668,406997,408354,409612,410839,411987,413016,414120,415167,416120,417051,417973,418812,419589,420357,421185,421914,422623,423330,423966,424588,425208,425788,426375,426927,427490,427994,428473,428956,429379,429798,430237,430652,431038,431404,431756,432113,432432,432746,433048,433331,433635,433925,434192,434460,434704,434942,435184,435391,435607,435799,436018,436217,436411,436609,436799,436983,437155,437332,437483,437623,437769,
90580,9,296,2067,6697,14842,25692,38437,52597,67396,82479,97220,111915,125828,139075,151630,163781,175194,185761,196021,205528,214635,223279,231381,239075,246090,252735,259027,264971,270620,275989,281016,285792,290356,294516,298587,302413,306073,309679,312884,315906,318805,321663,324392,326948,329350,331637,333909,336073,338110,340048,341876,343577,345264,346879,348444,349977,351373,352687,354002,355219,356362,357508,358632,359674,360674,361642,362657,363558,364443,365278,366078,366825,367573,368332,369008,369688,370331,370971,371515,372098,372668,373211,373767,374282,374680,375120,375576,376020,376424,376860,377274,377635,377982,378371,378687,379025,379337,379645,379925,380207,380495,380768,381009,381268,381509,381736,381940,382161,382361,382575,382767,382936,383116,383290,383479,383642,383789,383966,384140,
90590,2,111,957,3602,8537,15791,25056,35952,47324,59227,71523,83305,94871,106066,116908,127374,137447,146732,155761,164409,172399,180051,187391,194274,200746,206954,212845,218383,223590,228365,233055,237461,241712,245741,249474,253229,256629,259982,263225,266232,269080,271786,274356,276818,279079,281363,283428,285337,287280,289204,290966,292703,294401,295935,297393,298920,300262,301600,302913,304149,305356,306416,307398,308358,309304,310323,311229,312059,312936,313810,314570,315286,315990,316666,317330,317961,318607,319182,319750,320305,320873,321376,321882,322356,322814,323245,323684,324135,324519,324915,325296,325658,326028,326384,326684,326988,327271,327585,327876,328140,328380,328630,328888,329160,329422,329630,329845,330067,330290,330481,330679,330833,330996,331170,331352,331531,331694,331860,332000,
90600,0,47,569,2306,5867,11231,18569,27092,36343,46351,56620,66967,77117,87087,96710,106032,115018,123664,131877,139625,147003,154123,160714,167175,173252,179124,184572,189724,194686,199434,203971,208194,212148,216080,219718,223188,226544,229703,232611,235401,238104,240736,243222,245654,247877,249948,251967,253969,255844,257614,259295,260909,262504,263982,265393,266800,268101,269450,270662,271820,272943,273991,275068,276064,277048,277992,278840,279716,280529,281365,282126,282837,283569,284185,284862,285514,286139,286726,287294,287795,288351,288853,289325,289791,290255,290731,291121,291514,291925,292333,292716,293127,293484,293841,294160,294456,294763,295081,295343,295629,295894,296132,296398,296612,296840,297068,297276,297503,297711,297875,298059,298217,298408,298594,298765,298926,299067,299215,299356,
90610,0,28,325,1396,3704,7619,13108,19802,27244,35375,44118,52837,61598,70361,78773,87021,95031,102800,110130,117303,124148,130543,136762,142610,148247,153543,158635,163424,168083,172515,176765,180676,184408,188047,191478,194784,197971,200888,203657,206280,208824,211263,213614,215819,218023,220065,221993,223799,225573,227356,229012,230602,232085,233515,234955,236324,237576,238846,239916,241062,242102,243157,244162,245130,246055,246951,247771,248626,249441,250210,250957,251612,252325,253051,253660,254260,254829,255353,255918,256426,256946,257410,257895,258390,258861,259326,259784,260183,260564,260983,261352,261664,261992,262315,262646,262972,263266,263549,263819,264087,264334,264572,264823,265054,265258,265474,265694,265895,266091,266287,266487,266666,266821,266981,267127,267274,267421,267576,267713,
90620,0,14,143,760,2234,4809,8669,13633,19396,25790,32690,39637,46825,54114,61345,68445,75215,81848,88392,94750,100721,106478,112043,117168,122281,127115,131778,136210,140457,144329,148042,151602,155093,158386,161494,164587,167525,170364,172949,175428,177778,180045,182302,184514,186470,188400,190242,192020,193732,195365,196835,198295,199836,201165,202458,203707,204990,206150,207284,208334,209385,210405,211387,212319,213229,214073,214880,215679,216480,217236,217891,218606,219311,219963,220605,221163,221718,222251,222796,223275,223749,224215,224673,225127,225557,225996,226390,226775,227168,227546,227895,228208,228547,228862,229160,229473,229746,230039,230316,230550,230782,231011,231234,231452,231691,231889,232104,232340,232547,232740,232940,233106,233288,233443,233600,233751,233907,234049,234183,
90630,0,5,78,385,1270,2860,5316,8729,12840,17614,22709,28171,33885,39689,45432,51252,57175,62722,68204,73529,78865,83820,88633,93305,97665,101940,106126,110086,113800,117538,120944,124189,127311,130386,133253,136020,138676,141239,143673,145971,148154,150206,152237,154233,156105,157919,159664,161331,162896,164377,165793,167241,168551,169849,171069,172281,173431,174538,175644,176621,177620,178581,179465,180329,181243,182107,182927,183684,184402,185060,185694,186356,186990,187599,188191,188788,189339,189889,190366,190874,191358,191816,192231,192618,193006,193402,193792,194167,194549,194881,195226,195544,195879,196202,196473,196730,197004,197268,197509,197759,197976,198196,198427,198643,198834,199022,199209,199421,199630,199836,199992,200144,200310,200456,200624,200772,200893,201028,201157,
90640,0,0,21,124,529,1387,2839,4908,7604,10839,14604,18442,22646,27122,31615,36079,40607,45248,49713,54059,58445,62681,66748,70707,74510,78156,81668,85000,88257,91432,94575,97492,100239,102983,105496,107973,110371,112655,114831,116948,118971,120834,122692,124464,126078,127778,129361,130870,132386,133723,135022,136348,137577,138736,139888,141013,142082,143046,144012,145002,145925,146787,147621,148425,149204,149914,150575,151278,151979,152615,153231,153860,154464,155043,155552,156054,156582,157059,157531,158009,158520,158953,159353,159737,160140,160490,160842,161176,161532,161834,162157,162454,162748,163055,163325,163580,163814,164076,164303,164514,164740,164952,165177,165395,165581,165790,165970,166163,166326,166498,166655,166802,166966,167113,167245,167378,167513,167663,167795,
90650,0,0,8,69,245,671,1488,2720,4409,6508,8986,11711,14777,18112,21517,25018,28567,32154,35855,39476,43014,46570,49928,53247,56388,59577,62588,65394,68073,70793,73403,75828,78326,80748,83030,85122,87250,89303,91253,93113,94906,96648,98331,99882,101504,102924,104333,105713,107005,108241,109400,110577,111738,112810,113875,114881,115842,116761,117690,118537,119360,120150,120903,121648,122329,123002,123659,124291,124897,125507,126110,126660,127182,127719,128227,128735,129212,129689,130124,130552,130984,131396,131755,132116,132488,132841,133164,133501,133762,134057,134350,134684,134992,135271,135549,135825,136088,136310,136534,136793,137020,137228,137407,137595,137772,137960,138162,138330,138501,138667,138806,138976,139131,139267,139413,139548,139680,139808,139917,
90660,0,0,0,12,91,267,647,1342,2286,3527,5070,6873,8824,11045,13436,15951,18567,21237,23965,26669,29368,31996,34593,37224,39749,42222,44627,47033,49246,51454,53662,55816,57817,59673,61599,63457,65169,66892,68565,70154,71702,73151,74590,76004,77303,78591,79899,81098,82304,83444,84450,85514,86496,87457,88404,89294,90143,90974,91764,92539,93343,94055,94727,95425,96041,96671,97242,97832,98430,98995,99513,100016,100489,101006,101460,101905,102339,102739,103148,103563,103928,104295,104667,105006,105351,105683,105976,106247,106551,106862,107146,107429,107709,107959,108230,108459,108690,108899,109092,109293,109464,109644,109810,109986,110161,110309,110478,110627,110764,110898,111051,111194,111350,111473,111576,111710,111813,111934,112046,
90670,0,0,1,6,24,82,208,506,930,1546,2334,3298,4421,5695,7157,8761,10430,12132,13908,15773,17593,19445,21315,23185,25030,26797,28578,30338,32054,33698,35382,37022,38601,40141,41674,43134,44474,45772,47107,48409,49573,50746,51865,52973,54076,55208,56203,57202,58157,59106,60040,60927,61757,62553,63308,64061,64781,65483,66142,66803,67436,68108,68696,69216,69771,70320,70837,71320,71816,72272,72706,73102,73535,73950,74358,74726,75094,75428,75762,76074,76388,76716,77006,77293,77553,77860,78163,78418,78699,78919,79156,79388,79600,79803,80017,80206,80399,80596,80781,80954,81143,81282,81423,81581,81734,81891,82024,82155,82276,82401,82529,82658,82797,82916,83000,83116,83218,83340,83432,
90680,0,0,0,0,0,8,30,98,215,412,700,1094,1558,2085,2750,3500,4277,5116,6101,7102,8121,9182,10276,11370,12472,13550,14656,15745,16808,17935,19016,20069,21157,22204,23243,24238,25261,26276,27181,28047,28917,29752,30590,31417,32187,32985,33728,34421,35120,35812,36521,37158,37776,38402,39027,39640,40216,40788,41314,41826,42285,42769,43245,43710,44156,44578,44973,45380,45754,46086,46472,46776,47116,47440,47750,48045,48372,48663,48903,49182,49454,49697,49958,50189,50421,50644,50838,51063,51270,51460,51658,51818,52013,52185,52364,52536,52714,52847,52999,53168,53311,53451,53592,53721,53836,53951,54073,54178,54321,54432,54534,54633,54747,54844,54942,55021,55107,55194,55280,
9069150,17453,78878,162686,248427,326887,396747,457242,509835,555876,595685,630464,661922,689285,713501,735362,755108,772870,788921,803407,816534,828702,839972,850066,859433,868298,876419,883894,890884,897473,903573,909277,914492,919387,924000,928359,932409,936305,939928,943194,946383,949523,952431,955182,957679,960146,962378,964571,966659,968652,970544,972312,974007,975679,977254,978800,980228,981468,982793,983950,985110,986169,987210,988290,989283,990222,991136,991972,992801,993537,994296,995050,995765,996426,997060,997688,998288,998875,999448,999992,1000545,1001056,1001517,1002003,1002413,1002819,1003237,1003621,1003983,1004345,1004676,1005003,1005332,1005671,1005965,1006224,1006505,1006780,1007060,1007350,1007595,1007809,1008030,1008247,1008461,1008681,1008884,1009063,1009255,1009445,1009637,1009810,1009970,1010121,1010272,1010416,1010561,1010695,1010820,1010947,
907017,5224,33309,82818,141056,200055,255621,305687,351081,391770,428135,460378,489261,514952,538211,559574,578726,596208,611976,626607,639782,651900,663024,673360,682854,691799,700066,707824,715043,721647,727875,733710,739378,744566,749344,753795,758055,762195,765956,769447,772718,775859,778860,781689,784314,786860,789267,791539,793704,795804,797757,799601,801397,803083,804729,806261,807754,809201,810567,811872,813096,814247,815373,816429,817497,818475,819436,820331,821220,822009,822840,823638,824366,825078,825799,826467,827102,827726,828282,828814,829368,829898,830399,830864,831347,831781,832208,832648,833041,833423,833783,834172,834528,834871,835181,835522,835819,836089,836357,836610,836874,837130,837383,837607,837842,838068,838279,838493,838680,838841,839011,839206,839363,839538,839699,839837,839975,840135,840267,840414,
90713,2339,19065,53314,97697,145170,191947,235687,276076,312568,345649,375741,402990,427582,449872,470264,488674,505465,521019,535112,547886,559883,570960,581202,590691,599559,607709,615145,622280,628937,635119,640851,646293,651475,656308,660888,665144,669162,672882,676503,679920,683174,686250,689153,691866,694489,696960,699326,701565,703659,705700,707614,709432,711139,712733,714291,715788,717204,718570,719871,721165,722347,723535,724638,725752,726793,727739,728648,729538,730404,731203,731996,732771,733535,734210,734916,735596,736251,736837,737400,737941,738449,738967,739476,739978,740437,740886,741304,741714,742111,742488,742829,743208,743568,743892,744204,744521,744809,745114,745353,745614,745866,746124,746358,746563,746766,746979,747172,747370,747558,747745,747932,748105,748280,748452,748628,748776,748919,749049,749185,
90722,811,9421,30711,61712,97382,134197,170635,204981,237358,267142,294245,318746,341441,362214,381121,398349,414475,429263,442694,455087,466353,477267,487226,496377,505006,513036,520608,527624,534174,540409,546086,551576,556632,561373,565905,570168,574268,578090,581603,584948,588125,591192,594003,596791,599482,601900,604299,606577,608608,610677,612572,614387,616132,617852,619395,620905,622370,623715,625061,626367,627661,628887,629993,631045,632012,633059,633990,634907,635796,636642,637488,638211,638966,639654,640323,641067,641688,642276,642892,643455,644028,644536,645063,645568,646032,646465,646935,647359,647740,648119,648494,648862,649190,649524,649850,650159,650483,650772,651057,651341,651587,651864,652087,652312,652528,652762,652954,653148,653353,653556,653731,653918,654089,654249,654430,654598,654748,654882,655018,
90730,260,3954,15536,34602,59309,86703,114546,141943,168040,192837,215993,237337,257223,275678,292569,308366,323053,336745,349398,361060,371944,382120,391433,400192,408488,416130,423330,430127,436341,442220,447714,452943,457952,462514,466934,471224,475108,478896,482504,485946,489093,492140,494937,497591,500149,502576,504898,507102,509253,511263,513131,514893,516655,518347,519958,521482,522878,524228,525485,526746,527971,529115,530217,531257,532314,533310,534225,535152,536006,536841,537701,538488,539229,539971,540682,541345,541954,542537,543093,543671,544220,544765,545264,545729,546219,546684,547127,547533,547971,548344,548725,549112,549459,549780,550074,550375,550700,551007,551306,551612,551896,552179,552437,552681,552898,553147,553379,553563,553775,553952,554151,554327,554512,554693,554883,555051,555196,555348,555487,
90740,125,2217,10038,24364,43724,66021,89367,113037,135928,158117,178929,198603,216998,233761,249642,264365,278063,290953,302861,313964,324412,334142,343161,351592,359466,366817,373788,380441,386555,392274,397737,402799,407557,412086,416452,420702,424645,428343,431807,435075,438156,441168,443943,446621,449230,451619,453871,456038,458042,460029,461944,463788,465513,467052,468626,470099,471629,473036,474405,475656,476884,478013,479113,480213,481197,482204,483167,484103,484987,485749,486559,487402,488150,488897,489607,490276,490876,491497,492135,492717,493257,493821,494336,494811,495301,495751,496159,496571,496999,497418,497794,498178,498525,498879,499156,499440,499752,500072,500345,500595,500865,501120,501363,501602,501828,502068,502289,502495,502704,502917,503097,503285,503456,503614,503779,503955,504116,504247,504384,
90750,52,1207,6230,16259,30591,47981,67176,86941,106541,125992,144433,161785,178265,193865,208321,221828,234599,246556,257771,268217,277981,287189,295917,303933,311443,318444,325131,331334,337252,342770,347917,352823,357463,361881,366003,369956,373703,377293,380618,383712,386744,389660,392341,394947,397482,399825,402063,404241,406258,408253,410088,411868,413593,415180,416691,418257,419689,421048,422311,423615,424795,425896,426974,428025,429041,430070,431045,431971,432820,433664,434487,435180,435916,436531,437212,437865,438531,439116,439730,440308,440859,441411,441901,442381,442839,443292,443739,444174,444561,444950,445291,445678,446015,446335,446674,446978,447254,447539,447821,448134,448428,448688,448941,449185,449403,449631,449874,450079,450293,450486,450655,450856,451027,451204,451351,451523,451658,451806,451947,
90760,13,559,3323,9840,19975,32883,47946,63864,80044,96390,111981,127182,141538,155072,168131,180567,192230,202985,213280,222904,231932,240421,248536,256017,263063,269691,275794,281720,287286,292527,297614,302301,306851,311051,315142,319000,322602,326079,329255,332210,335068,337760,340353,342906,345349,347693,349904,351977,353959,355868,357635,359294,360938,362533,364045,365511,366868,368178,369481,370724,371893,373038,374073,375081,376122,377090,377961,378821,379688,380495,381318,382021,382775,383440,384093,384723,385397,385998,386611,387170,387713,388224,388714,389196,389640,390117,390555,390992,391420,391820,392185,392542,392867,393175,393496,393847,394177,394461,394748,395024,395282,395545,395786,396054,396285,396507,396723,396951,397157,397348,397503,397699,397881,398085,398276,398443,398614,398755,398879,
90770,5,253,1676,5448,11984,21083,31862,43992,56567,69611,82684,95214,107385,118930,130111,140891,151097,160748,169967,178646,186767,194584,201825,208752,215196,221433,227388,232871,238072,243057,247848,252201,256457,260449,264125,267712,271046,274256,277314,280186,282934,285601,288075,290470,292803,294968,297070,299014,300854,302639,304421,306044,307618,309171,310596,312021,313355,314741,315986,317176,318329,319401,320438,321390,322357,323267,324113,324951,325782,326568,327318,328054,328731,329402,330026,330618,331240,331836,332372,332955,333480,333997,334475,334927,335399,335839,336285,336708,337128,337545,337895,338289,338643,338988,339269,339550,339800,340099,340375,340655,340892,341174,341404,341637,341885,342112,342351,342584,342776,342946,343119,343310,343493,343664,343847,344000,344153,344294,344446,
90780,0,132,1029,3651,8503,15445,24080,33760,44469,55641,66890,77815,88531,99080,109146,118743,128038,136797,145188,153180,160745,167911,174653,181102,187290,193015,198480,203651,208705,213438,217867,221992,225980,229758,233317,236729,240001,243101,246048,248769,251392,253959,256373,258656,260892,263057,265109,267085,268962,270689,272343,273929,275496,277008,278400,279767,281111,282338,283520,284707,285730,286800,287855,288812,289766,290643,291488,292369,293201,294030,294774,295482,296167,296850,297448,298045,298643,299237,299759,300310,300794,301296,301783,302258,302730,303178,303593,304008,304397,304776,305136,305516,305837,306185,306500,306817,307113,307384,307701,307969,308219,308481,308731,308953,309195,309422,309657,309844,310031,310241,310456,310648,310801,310963,311120,311262,311435,311577,311712,
90790,0,62,562,2173,5403,10353,17110,24787,33466,42530,51862,61350,70624,79820,88678,97166,105481,113408,120952,128285,135148,141625,147957,154021,159738,165151,170407,175250,179782,184128,188290,192128,195938,199577,203056,206237,209330,212291,215102,217680,220241,222715,225115,227371,229433,231397,233438,235279,237122,238862,240476,242024,243480,244869,246209,247560,248788,250038,251177,252300,253342,254325,255258,256247,257195,258040,258895,259688,260480,261214,261958,262670,263346,263981,264604,265238,265807,266361,266910,267461,267991,268446,268911,269357,269783,270208,270622,271012,271400,271736,272102,272430,272753,273078,273389,273696,273982,274246,274511,274756,275016,275241,275495,275741,275947,276156,276353,276550,276754,276935,277122,277309,277471,277652,277799,277960,278120,278255,278373,
90800,0,22,274,1220,3299,6782,11552,17372,23910,31218,38765,46378,54159,61904,69416,76826,84070,90984,97549,103949,110059,115910,121554,126961,132088,136988,141854,146224,150385,154529,158466,162247,165699,169062,172199,175161,177988,180734,183371,185931,188406,190729,192864,194934,196982,198904,200814,202549,204206,205888,207345,208879,210313,211641,212924,214141,215353,216540,217649,218701,219736,220675,221646,222563,223460,224288,225126,225929,226642,227353,228037,228720,229368,230022,230613,231188,231786,232315,232860,233352,233819,234272,234703,235150,235576,236025,236418,236809,237147,237474,237807,238120,238433,238744,239036,239307,239592,239886,240146,240395,240610,240826,241051,241270,241481,241678,241871,242071,242258,242455,242639,242812,243006,243185,243343,243489,243645,243784,243899,
90810,0,6,117,627,1809,3986,7214,11351,16326,21892,27581,33765,40069,46412,52542,58687,64842,70628,76329,81913,87236,92404,97306,102147,106779,111073,115294,119363,123173,126770,130289,133643,136909,139934,142836,145656,148261,150764,153166,155536,157701,159859,161884,163844,165607,167386,169065,170721,172305,173794,175256,176620,177911,179177,180433,181547,182664,183725,184722,185739,186632,187558,188515,189386,190179,190977,191760,192508,193254,193955,194619,195302,195941,196545,197167,197731,198251,198744,199249,199726,200165,200605,201062,201484,201882,202250,202605,202952,203301,203586,203945,204272,204584,204874,205153,205421,205667,205931,206161,206396,206635,206866,207090,207304,207528,207725,207918,208123,208290,208471,208640,208803,208949,209106,209249,209398,209537,209686,209831,
90820,0,2,40,266,883,2113,4055,6699,9886,13753,18059,22688,27362,32038,36986,42011,46895,51775,56488,61183,65722,70028,74192,78189,82159,85921,89580,93163,96355,99568,102771,105588,108554,111306,113864,116422,118855,121164,123358,125472,127548,129456,131346,133105,134776,136422,137928,139481,140972,142332,143667,144973,146245,147483,148633,149691,150722,151760,152752,153720,154614,155460,156302,157134,157917,158695,159394,160080,160715,161353,161986,162560,163117,163672,164242,164742,165246,165696,166186,166618,167070,167488,167873,168307,168706,169057,169392,169751,170101,170411,170748,171063,171343,171625,171914,172154,172416,172680,172925,173138,173348,173562,173770,173956,174125,174311,174507,174700,174889,175043,175215,175368,175527,175702,175863,175994,176129,176266,176389,
90830,0,0,19,103,407,1070,2146,3777,6001,8551,11487,14742,18229,21950,25703,29516,33384,37210,41107,44846,48571,52147,55688,59087,62433,65592,68568,71593,74583,77386,80017,82612,85068,87554,89875,91990,94085,96143,98061,99977,101722,103495,105167,106830,108376,109805,111328,112731,114018,115298,116568,117759,118839,119978,121066,122127,123094,124030,124898,125792,126624,127435,128226,128931,129605,130284,130929,131547,132165,132762,133322,133903,134412,134933,135431,135910,136389,136832,137254,137683,138051,138391,138788,139138,139479,139822,140182,140500,140840,141140,141440,141709,141985,142271,142551,142793,143021,143230,143443,143649,143861,144061,144259,144453,144634,144830,144980,145166,145334,145496,145647,145812,145960,146108,146246,146356,146502,146628,146738,
90840,0,1,2,35,156,452,1010,1885,3092,4575,6441,8601,10967,13572,16266,18986,21839,24748,27655,30567,33411,36167,38984,41707,44282,46921,49366,51801,54230,56447,58761,60890,63000,64998,66876,68795,70661,72442,74114,75802,77409,78918,80373,81760,83160,84470,85761,86996,88090,89204,90286,91369,92375,93331,94261,95169,96031,96870,97686,98458,99265,99988,100666,101323,101956,102637,103257,103839,104433,104994,105535,106047,106509,106984,107441,107917,108328,108747,109156,109577,109947,110275,110636,110966,111310,111647,111937,112260,112551,112876,113141,113398,113647,113887,114126,114341,114564,114762,114968,115178,115405,115579,115755,115938,116102,116264,116453,116610,116785,116927,117066,117215,117335,117482,117599,117699,117813,117929,118041,
90850,0,0,1,9,38,147,362,695,1284,2023,3083,4288,5590,7086,8680,10359,12166,14067,15982,18028,20027,22060,24053,26071,27976,29836,31674,33524,35359,37118,38846,40497,42156,43731,45241,46714,48181,49653,50970,52303,53612,54825,56019,57112,58203,59271,60329,61382,62328,63294,64199,65095,65912,66710,67484,68251,68981,69727,70425,71075,71734,72334,72963,73563,74173,74742,75250,75784,76265,76737,77199,77629,78028,78434,78848,79229,79622,79974,80348,80649,80966,81283,81567,81847,82158,82458,82718,82976,83236,83509,83752,83969,84195,84397,84584,84791,84989,85184,85335,85516,85679,85845,85999,86158,86309,86463,86604,86723,86866,86996,87111,87251,87362,87477,87589,87707,87807,87903,88016,
90860,0,0,0,0,3,17,57,156,327,565,942,1382,1949,2624,3406,4288,5229,6223,7316,8402,9514,10740,11943,13190,14366,15589,16698,17847,19043,20200,21377,22525,23601,24739,25874,26939,27965,28937,29901,30829,31785,32653,33525,34386,35191,35958,36760,37498,38211,38949,39629,40302,40890,41477,42115,42672,43219,43790,44335,44817,45297,45779,46249,46695,47127,47602,48013,48421,48821,49192,49586,49933,50287,50638,50953,51230,51552,51816,52080,52344,52619,52890,53133,53376,53607,53808,54020,54237,54441,54650,54840,55037,55218,55402,55584,55748,55919,56081,56234,56375,56503,56654,56793,56941,57055,57187,57308,57424,57539,57633,57726,57809,57895,57996,58090,58172,58255,58363,58445,
9087361,25594,98411,189297,277627,356758,425527,484335,535687,580039,618409,651994,681666,707957,731697,752633,771390,788465,803783,817766,830748,842278,852913,862636,871821,880066,887638,894897,901587,907654,913489,918886,923945,928712,933180,937236,941172,944928,948371,951633,954760,957724,960443,963054,965543,967764,969986,972123,974175,976015,977872,979630,981304,982936,984445,985855,987246,988587,989860,991025,992107,993239,994278,995295,996199,997090,997946,998815,999658,1000439,1001241,1001918,1002606,1003222,1003851,1004450,1005029,1005574,1006079,1006586,1007045,1007565,1008021,1008515,1008941,1009330,1009756,1010131,1010522,1010857,1011169,1011483,1011805,1012065,1012355,1012629,1012932,1013181,1013441,1013688,1013943,1014151,1014382,1014570,1014740,1014909,1015092,1015274,1015452,1015646,1015796,1015961,1016112,1016261,1016405,1016552,1016680,1016817,1016950,1017082,
908853,8245,44729,101350,164195,225049,281401,332057,376874,416957,452353,483637,511631,536958,559565,580085,598422,615132,630444,644673,657338,668958,679609,689601,698738,707237,715158,722497,729220,735745,741862,747566,752830,757801,762428,766775,770873,774679,778270,781619,784840,787939,790854,793625,796252,798751,801095,803236,805278,807294,809212,811040,812806,814466,816064,817640,819088,820488,821805,823069,824229,825371,826418,827486,828487,829430,830361,831240,832119,832909,833640,834405,835109,835817,836503,837156,837759,838352,838932,839517,840086,840589,841108,841576,842005,842441,842846,843259,843649,844014,844355,844697,845050,845363,845671,845972,846247,846530,846818,847076,847351,847592,847843,848102,848322,848513,848730,848913,849094,849259,849419,849584,849767,849924,850112,850272,850423,850565,850706,850848,
908912,3922,26468,66736,116331,166709,214970,259616,300437,337094,370263,399582,426341,450094,471552,491089,509152,525609,540590,554461,567123,578742,589417,599227,608301,616767,624608,632037,638927,645406,651378,657057,662426,667454,672108,676488,680758,684644,688417,691833,695051,698136,701137,703972,706609,709105,711565,713962,716148,718242,720157,721990,723764,725498,727137,728599,729998,731359,732665,733965,735180,736333,737476,738519,739490,740492,741422,742310,743162,743961,744772,745550,746320,747006,747647,748290,748891,749529,750086,750615,751200,751754,752243,752724,753189,753649,754104,754519,754944,755306,755691,756058,756400,756712,757052,757360,757694,757980,758251,758504,758771,759027,759299,759518,759741,759963,760164,760372,760556,760762,760934,761118,761271,761437,761615,761808,761946,762112,762257,762390,
90901,1641,13969,40415,75614,114482,153803,191604,226603,258567,288046,315023,339484,361825,382315,400882,417780,433453,447904,460996,473165,484397,494741,504468,513445,521905,529504,536822,543656,550081,556006,561684,566873,571844,576552,580860,584989,588914,592529,596017,599405,602644,605594,608482,611188,613680,616049,618315,620476,622525,624458,626277,628108,629832,631507,633119,634555,635906,637264,638538,639794,640983,642146,643216,644218,645193,646114,647054,647932,648801,649652,650412,651168,651946,652597,653257,653904,654529,655123,655694,656275,656769,657260,657726,658179,658650,659108,659538,659992,660381,660794,661161,661545,661888,662197,662501,662810,663104,663392,663618,663901,664161,664411,664642,664858,665096,665309,665514,665700,665896,666111,666313,666491,666668,666851,667028,667206,667353,667514,667635,
90910,489,6137,21238,44134,71279,100845,130362,159124,186285,211349,234734,256221,276090,294516,311479,327139,341542,354867,367224,378871,389465,399346,408574,417006,424996,432554,439568,446289,452605,458273,463823,468977,473718,478326,482654,486657,490405,493998,497407,500715,503788,506757,509536,512170,514673,517154,519389,521504,523474,525415,527261,529026,530681,532294,533812,535324,536708,538010,539271,540534,541760,542884,543952,545024,545968,546894,547813,548741,549592,550412,551229,551983,552704,553366,554061,554706,555323,555922,556541,557135,557663,558163,558682,559168,559643,560068,560508,560941,561334,561713,562067,562422,562779,563120,563452,563775,564103,564399,564671,564946,565231,565469,565711,565940,566177,566392,566586,566796,567014,567219,567409,567610,567772,567932,568088,568238,568410,568564,568695,
90920,216,3544,14112,31578,53795,78566,103677,128806,152777,175429,196837,216572,234826,251798,267590,282338,295987,308545,320451,331403,341726,351276,360156,368354,376155,383272,390059,396504,402541,408291,413616,418549,423253,427559,431706,435707,439591,443158,446488,449633,452584,455507,458170,460781,463359,465796,468121,470232,472240,474197,476064,477809,479515,481135,482696,484198,485573,486898,488114,489362,490590,491716,492810,493857,494817,495808,496701,497598,498503,499374,500102,500854,501585,502273,502959,503595,504210,504794,505355,505911,506446,507002,507526,508015,508510,508943,509385,509804,510200,510544,510886,511258,511625,511979,512313,512607,512916,513184,513456,513742,513993,514239,514445,514662,514900,515114,515317,515530,515716,515896,516066,516239,516414,516596,516755,516899,517028,517177,517329,
90931,91,1977,8695,21136,37973,57770,78829,99991,120875,141104,160235,177956,194578,210295,224894,238765,251423,263262,274416,284772,294367,303599,312122,319956,327286,334354,340989,347125,352804,358193,363278,368058,372515,376873,380949,384675,388335,391692,394877,398007,400951,403837,406508,409092,411617,413895,416102,418237,420236,422142,424019,425778,427409,428962,430536,432091,433468,434859,436051,437257,438394,439521,440634,441646,442633,443588,444566,445468,446375,447233,448052,448783,449493,450195,450809,451484,452131,452740,453313,453869,454436,454957,455448,455931,456364,456813,457251,457706,458129,458515,458898,459295,459639,459982,460271,460586,460900,461190,461451,461719,461959,462205,462470,462693,462924,463136,463346,463520,463715,463907,464099,464277,464453,464618,464799,464970,465104,465263,465423,
90940,37,999,5015,13281,25492,40484,56960,74299,91748,108726,125110,140896,155756,169678,182777,194986,206677,217501,227763,237352,246487,254966,262978,270366,277486,284102,290392,296172,301717,306915,311823,316523,320919,325061,329064,332848,336413,339732,342901,345863,348782,351527,354132,356591,358936,361229,363432,365487,367468,369345,371093,372843,374444,376012,377493,378946,380295,381612,382879,384092,385203,386264,387335,388347,389297,390219,391160,392032,392860,393705,394467,395178,395906,396598,397230,397872,398491,399073,399665,400218,400795,401359,401810,402289,402754,403217,403650,404068,404461,404821,405188,405538,405873,406206,406534,406835,407138,407427,407702,407992,408263,408513,408763,408993,409232,409470,409700,409888,410094,410292,410456,410636,410787,410945,411116,411281,411401,411551,411687,
90950,12,426,2625,7602,15662,26152,38537,51835,65620,79416,93196,106376,118984,131203,142701,153799,164039,173899,183188,191968,200199,208022,215244,222144,228559,234746,240482,245952,251235,256078,260764,265130,269308,273141,276834,280364,283669,286878,289899,292767,295601,298271,300784,303270,305632,307742,309796,311798,313606,315370,317111,318786,320370,321891,323335,324768,326021,327289,328496,329661,330763,331837,332892,333868,334816,335683,336525,337395,338219,339008,339729,340461,341148,341854,342508,343096,343694,344256,344804,345333,345896,346386,346871,347319,347744,348173,348577,348963,349356,349763,350106,350454,350800,351142,351475,351751,352029,352327,352625,352916,353155,353410,353633,353882,354123,354346,354563,354744,354933,355095,355250,355442,355621,355815,356006,356188,356343,356481,356614,
90960,5,244,1563,5163,11308,19446,29228,40403,52125,64231,76091,87731,99137,110059,120332,130214,139733,148576,157109,165160,172778,179868,186672,193131,199255,205193,210618,215770,220811,225484,229923,234076,238017,241730,245230,248512,251806,254881,257682,260548,263277,265755,268176,270337,272470,274553,276528,278442,280267,282084,283637,285226,286723,288199,289588,290930,292231,293523,294752,295887,296970,297996,299033,300009,300935,301836,302695,303478,304275,305031,305788,306444,307139,307819,308492,309112,309665,310239,310853,311376,311878,312407,312887,313342,313767,314213,314644,315041,315455,315847,316228,316593,316921,317224,317541,317853,318150,318420,318704,318963,319208,319460,319696,319944,320169,320386,320593,320790,320964,321145,321341,321516,321679,321862,322027,322167,322334,322490,322613,
90970,0,116,953,3276,7557,13675,21651,30571,40173,50084,60275,70290,80068,89770,99019,107805,116184,124315,132059,139328,146263,152870,159290,165331,170908,176302,181338,186229,190864,195212,199366,203273,207056,210697,214060,217339,220462,223367,226103,228653,231325,233759,236063,238232,240342,242298,244240,246058,247856,249563,251135,252615,254119,255571,256917,258173,259418,260623,261744,262810,263860,264847,265760,266741,267601,268480,269314,270162,270905,271567,272222,272930,273633,274275,274898,275505,276107,276686,277197,277697,278184,278648,279106,279553,279965,280380,280766,281157,281526,281884,282257,282620,282984,283300,283625,283938,284223,284494,284716,284975,285224,285484,285700,285910,286134,286334,286551,286748,286944,287134,287336,287523,287679,287834,287983,288133,288271,288414,288557,
90980,2,46,483,1923,4756,8996,14748,21523,29045,37041,45300,53613,61820,70033,77897,85636,93113,100426,107381,114111,120390,126367,132159,137624,142849,147872,152646,157107,161373,165436,169355,173069,176552,179860,183021,186005,188830,191587,194257,196672,199072,201333,203490,205566,207550,209370,211248,212958,214663,216248,217708,219173,220578,221882,223182,224440,225631,226726,227837,228895,229898,230929,231857,232769,233617,234428,235264,236032,236797,237513,238161,238818,239460,240061,240646,241215,241732,242277,242819,243318,243803,244267,244718,245164,245558,245918,246308,246727,247105,247457,247795,248109,248435,248749,249033,249307,249587,249858,250127,250380,250617,250847,251073,251294,251503,251683,251907,252139,252328,252511,252660,252854,253010,253162,253307,253459,253605,253727,253857,
90990,0,16,199,971,2628,5464,9335,14159,19851,26087,32566,39208,45901,52520,59214,65777,72151,78447,84370,90047,95558,100828,105966,110768,115473,119979,124251,128253,132106,135826,139313,142693,145904,148911,151835,154574,157260,159793,162235,164549,166702,168895,170913,172875,174828,176628,178321,179922,181540,183123,184534,185953,187267,188550,189762,190941,192002,193144,194217,195196,196160,197081,197954,198829,199650,200392,201145,201894,202599,203277,203920,204505,205106,205676,206288,206843,207363,207871,208379,208829,209237,209646,210059,210460,210877,211257,211643,212021,212350,212690,213027,213357,213656,213947,214225,214495,214775,214999,215267,215515,215781,216007,216235,216444,216645,216850,217077,217281,217453,217624,217816,217976,218148,218327,218466,218622,218764,218909,219045,
91000,0,6,69,422,1304,2896,5357,8575,12387,16834,21516,26653,31817,37151,42476,47716,52840,57867,62812,67680,72490,76923,81320,85574,89498,93419,97141,100764,104150,107411,110432,113381,116195,119004,121722,124243,126604,129009,131254,133409,135455,137397,139271,141097,142786,144469,146042,147546,149015,150359,151721,152952,154214,155395,156515,157571,158649,159669,160661,161585,162473,163257,164083,164905,165727,166441,167162,167831,168563,169254,169864,170465,171036,171618,172128,172651,173123,173567,174056,174515,174909,175305,175713,176115,176508,176890,177245,177591,177907,178229,178528,178817,179086,179377,179664,179930,180195,180458,180698,180949,181178,181399,181611,181813,181983,182173,182356,182494,182685,182862,183042,183190,183344,183477,183625,183766,183883,184025,184155,
91010,0,0,23,152,584,1458,2908,4917,7444,10395,13833,17457,21208,25162,29178,33302,37424,41538,45614,49437,53387,57176,60938,64394,67805,71062,74229,77322,80270,83189,85881,88512,91088,93533,95949,98139,100350,102346,104274,106248,108086,109884,111544,113085,114610,116128,117565,118965,120351,121662,122851,124011,125173,126267,127351,128272,129214,130159,131032,131879,132714,133487,134264,135012,135684,136370,137049,137688,138317,138909,139499,140025,140580,141136,141652,142152,142668,143139,143546,143952,144377,144783,145179,145566,145912,146240,146570,146907,147182,147529,147824,148152,148440,148692,148922,149166,149414,149618,149858,150078,150274,150470,150638,150819,151007,151197,151368,151545,151727,151883,152050,152209,152363,152491,152620,152753,152877,153003,153122,
91020,0,0,5,54,229,627,1334,2478,4013,5882,8011,10513,13153,15951,18927,21873,25009,28098,31258,34311,37324,40362,43310,46074,48841,51572,54121,56620,59061,61435,63810,66012,68099,70204,72245,74132,76000,77809,79529,81213,82799,84321,85798,87239,88634,89953,91215,92389,93540,94650,95721,96713,97685,98607,99560,100447,101345,102180,102984,103785,104570,105295,105975,106636,107306,107916,108511,109084,109608,110136,110664,111194,111703,112203,112663,113141,113574,113999,114405,114787,115174,115542,115869,116209,116541,116883,117173,117458,117757,118050,118337,118610,118868,119150,119384,119598,119815,120025,120236,120456,120631,120804,120969,121149,121305,121467,121647,121804,121994,122169,122309,122438,122565,122697,122815,122950,123057,123167,123307,
91030,0,0,0,11,59,194,454,942,1621,2562,3764,5102,6545,8331,10119,12062,14034,16106,18202,20407,22513,24706,26751,28793,30810,32829,34807,36714,38592,40534,42348,44124,45835,47493,49090,50658,52121,53559,55028,56414,57700,58973,60226,61408,62537,63718,64728,65701,66689,67607,68503,69399,70294,71151,71946,72747,73548,74264,74944,75634,76290,76873,77420,77966,78516,79072,79586,80093,80577,81039,81499,81938,82402,82768,83178,83563,83930,84280,84621,84934,85243,85548,85862,86141,86423,86714,87014,87286,87559,87838,88075,88320,88545,88725,88961,89165,89376,89527,89718,89880,90077,90259,90406,90556,90706,90857,90995,91144,91289,91422,91541,91666,91797,91907,92040,92146,92251,92329,92439,
91040,0,0,0,4,10,32,98,232,434,758,1169,1770,2415,3143,3995,4950,6004,7163,8288,9519,10809,12043,13282,14566,15757,17069,18386,19666,20921,22112,23411,24591,25832,27037,28138,29199,30268,31280,32259,33238,34246,35147,36037,36932,37808,38626,39440,40165,40904,41636,42309,43028,43626,44271,44882,45475,46038,46566,47123,47674,48148,48639,49078,49550,49986,50447,50829,51224,51644,52050,52430,52803,53150,53472,53801,54128,54399,54667,54964,55235,55494,55752,55985,56228,56449,56694,56899,57129,57329,57545,57740,57913,58107,58295,58483,58649,58824,58973,59126,59275,59421,59549,59689,59823,59943,60057,60171,60285,60396,60521,60633,60731,60834,60920,61025,61144,61244,61337,61426,
91050,0,0,0,0,0,0,0,0,0,0,0,1,14,71,237,646,1492,3223,6225,11436,19406,30844,46666,67572,93645,125476,163182,207059,256531,311544,371659,436088,504371,576045,649975,724702,800594,876615,953243,1029402,1103786,1176799,1247935,1317127,1383565,1447494,1508561,1567423,1623077,1676580,1727355,1774946,1820549,1863349,1903398,1941493,1977093,2010399,2041664,2070936,2098329,2124004,2147942,2170534,2191417,2211099,2229335,2246455,2262391,2277261,2291163,2304379,2316302,2327501,2337913,2347841,2357014,2365552,2373523,2380851,2387905,2394440,2400545,2406199,2411460,2416637,2421245,2425616,2429671,2433574,2437164,2440583,2443701,2446711,2449551,2452186,2454667,2456967,2459144,2461259,2463216,2464987,2466688,2468264,2469777,2471180,2472519,2473772,2474977,2476103,2477220,2478261,2479227,2480140,2480970,2481763,2482523,2483266,2483950,
91060,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,11,26,65,149,306,568,1101,1874,3034,4774,7222,10668,15095,20819,27948,36787,47477,60110,74765,91696,111041,132576,156505,182808,211468,242141,274638,309363,345950,383926,423642,464287,505951,548914,592927,637341,682465,727634,772838,818307,863200,908468,953096,997812,1041612,1085213,1127904,1169893,1210982,1251488,1290858,1329586,1367020,1403991,1439570,1474220,1508188,1540952,1572495,1603442,1633376,1662554,1690744,1717747,1744028,1769084,1793269,1816974,1839858,1861869,1883080,1903793,1923533,1942391,1960702,1978546,1995711,2012065,2027819,2043131,2057634,2071826,2085388,2098677,2111659,2123933,2135703,2147038,2158155,2168594,2178772,2188546,2198066,2207095,2215861,2224187,2232145,2239900,2247494,2254675,
91070,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,7,12,32,56,109,208,384,657,1027,1613,2467,3556,4997,6856,9279,12195,15821,20355,25647,31800,39029,47311,56930,67479,79190,92226,106652,122225,138839,157136,176662,197446,219118,241986,266047,291120,317147,344031,372035,400393,429500,459178,489449,520492,551492,583083,614762,647002,679294,711490,743538,775641,807718,839445,871415,903130,934785,965792,996810,1027404,1057782,1087673,1117145,1146221,1175191,1203485,1231258,1258212,1285047,1311227,1337071,1362320,1386876,1411049,1434938,1458111,1480620,1502850,1524627,1545951,1566766,1586821,1606413,1625510,1644171,1662788,1681087,1698691,1716012,1733097,1749485,1765300,1781002,1796243,1811058,
91080,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,8,15,31,48,82,124,205,323,449,662,941,1302,1782,2347,3113,4067,5238,6617,8282,10297,12616,15407,18553,22184,26232,30801,35963,41691,47810,54557,61949,69996,78716,87966,97859,108476,119589,131273,143780,157009,170593,184760,199605,215077,230853,247186,264046,281275,299080,317317,336040,354968,374254,393599,413587,433687,454135,474624,495566,516501,537570,558747,580022,601460,622648,643853,665165,686437,707926,729167,750581,771964,793171,814336,835303,856048,876517,897143,917553,937660,957649,977402,996975,1016307,1035598,1054342,1073174,1091744,
91090,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,5,6,10,17,25,33,49,67,92,125,177,234,330,429,554,716,946,1175,1493,1879,2328,2830,3477,4226,5078,6088,7150,8461,9881,11458,13219,15250,17382,19755,22393,25179,28300,31586,35198,38981,43165,47537,52188,57082,62254,67736,73582,79685,86117,92713,99590,106694,114193,122029,130131,138592,147328,156297,165293,174561,184005,193831,203771,214004,224523,235065,245832,256835,267994,279324,290828,302590,314404,326316,338387,350690,362920,375399,387846,400209,412840,
91100,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,7,13,18,29,40,56,82,118,156,212,277,358,449,567,762,929,1144,1376,1694,2006,2399,2813,3341,3945,4570,5290,6166,7070,8113,9215,10455,11805,13254,14846,16576,18454,20552,22688,25040,27552,30339,33199,36207,39281,42539,46094,49754,53706,57728,61960,66443,70957,75740,80662,85999,91294,96644,102412,108326,114334,120526,127025,133614,140284,147038,154009,161290,168545,175992,183602,191357,199357,
91110,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,4,8,10,18,21,31,42,56,71,95,117,151,191,245,319,391,480,604,739,895,1052,1230,1417,1659,1930,2280,2653,3058,3487,3973,4515,5135,5797,6503,7296,8156,9096,10112,11239,12404,13705,15028,16487,17978,19632,21367,23075,25035,27071,29186,31407,33810,36263,38801,41435,44235,47163,50145,53251,56497,59858,63288,66893,70546,74423,78300,
91120,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,5,5,6,10,15,21,32,35,47,65,74,95,121,147,177,212,246,290,347,420,500,596,692,819,951,1099,1243,1427,1620,1846,2082,2347,2665,3004,3346,3743,4147,4635,5156,5713,6315,6942,7568,8273,9009,9813,10683,11591,12589,13597,14603,15708,16906,18133,19390,20704,22091,23595,
91130,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,3,4,6,7,8,9,12,15,25,33,39,49,59,74,82,105,126,150,174,197,227,255,294,357,411,457,533,610,682,767,868,984,1107,1241,1395,1575,1753,1920,2113,2311,2564,2805,3066,3371,3665,3999,4385,4766,5153,
91140,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,2,3,3,4,5,7,8,8,8,10,11,12,15,16,18,24,31,36,41,53,66,77,83,96,115,136,149,172,201,223,259,299,333,381,432,500,572,634,707,781,868,965,1070,1176,1292,1425,1571,1714,
91150,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,3,3,4,4,4,4,4,5,7,12,13,20,22,26,31,37,43,47,55,63,71,82,90,113,143,160,189,216,246,282,324,356,398,448,503,
91160,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,3,3,3,5,7,7,7,9,10,14,16,17,19,22,29,31,34,40,46,52,60,66,71,84,
91170,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,2,2,2,2,3,4,5,5,5,5,6,6,7,9,10,10,11,12,14,16,20,
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95710,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,7,12,17,26,38,59,95,136,190,251,319,398,501,626,771,932,1121,1321,1549,1774,2021,2270,2608,2917,3243,3580,3974,4388,4816,5230,5688,6156,6683,7178,7711,8280,8823,9423,9946,10525,11118,11749,12352,12984,13643,14331,14953,15618,16260,16898,17580,18288,18938,19587,20354,21076,21744,22405,23084,23785,24532,25187,25907,26593,27295,27971,28673,29325,30002,30690,31394,32048,32711,33442,34139,34840,35516,36218,36845,37523,38223,38915,39614,40260,40911,41584,42266,42970,43628,44327,44965,45618,46302,46950,47596,48226,48819,49465,50067,50650,51237,51830,
95720,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,4,9,18,22,33,52,71,91,129,158,180,226,279,338,399,486,571,654,773,896,1035,1165,1317,1470,1633,1804,1992,2223,2414,2638,2858,3106,3347,3627,3883,4188,4463,4750,5031,5364,5652,5971,6295,6612,6941,7300,7652,7992,8339,8704,9061,9455,9845,10224,10582,10947,11347,11745,12162,12561,12982,13369,13762,14137,14547,14953,15373,15805,16208,16606,17027,17446,17891,18330,18737,19123,19542,19956,20356,20792,21202,21606,22009,22422,22871,23292,23682,24101,24509,24931,25369,25791,26221,26654,27062,27468,27847,
95730,0,82,1289,6959,20299,42108,71490,106398,145046,186332,228273,269948,311119,351398,390195,427398,462817,496031,527807,558098,586912,614138,640134,664781,688050,710575,731823,752026,771179,789578,806739,823333,839054,853996,868631,882625,895825,908282,920452,932165,943437,954077,964645,974778,984384,993634,1002429,1010835,1019055,1026994,1034592,1041985,1049103,1056087,1062692,1069252,1075512,1081539,1087558,1093396,1098852,1104207,1109331,1114353,1119264,1123992,1128495,1132946,1137395,1141615,1145691,1149620,1153492,1157282,1160996,1164615,1168174,1171607,1174915,1178149,1181276,1184446,1187463,1190410,1193197,1196005,1198821,1201536,1204051,1206582,1209064,1211612,1213999,1216263,1218560,1220799,1223027,1225113,1227143,1229225,1231193,1233180,1235218,1237104,1238915,1240693,1242447,1244175,1245879,1247467,1249104,1250740,1252305,1253848,1255346,1256762,1258202,1259637,1261135,
95740,0,1,142,1201,4468,11711,23082,38880,58431,81130,105746,131965,159113,186590,214391,241999,268858,295215,321028,346000,369866,392903,415435,437044,457748,477684,496904,515290,532970,549804,566193,581715,596810,611250,625285,638614,651499,663857,675676,687081,697955,708765,718980,728914,738675,747977,757124,765864,774296,782663,790691,798265,805723,812921,819855,826562,833174,839479,845574,851537,857364,863057,868509,873819,879053,884140,888955,893840,898496,903095,907486,911793,915933,919992,923964,927848,931670,935461,939156,942464,945812,949221,952469,955695,958898,962005,964986,967910,970689,973502,976207,978927,981523,984057,986531,988925,991377,993725,995983,998252,1000446,1002570,1004665,1006765,1008784,1010846,1012814,1014685,1016622,1018496,1020314,1022114,1023785,1025399,1027141,1028826,1030458,1032097,1033663,
95750,0,1,24,342,1638,4850,10774,19511,31287,45705,62232,80733,100678,121248,142740,164106,185683,207113,228504,249738,270500,290629,309939,329153,347559,365316,382413,398702,415037,430573,445760,460186,474375,488104,501290,514050,526142,537923,549184,560334,571034,581541,591630,601435,610710,619735,628751,637328,645613,653667,661421,668878,676266,683241,690182,696940,703492,709820,716071,721990,727808,733443,738981,744455,749665,754699,759605,764443,769185,773848,778294,782614,786937,791089,795168,799089,802852,806628,810330,813869,817446,820916,824230,827438,830663,833768,836880,840016,842946,845770,848658,851493,854256,856831,859426,861865,864359,866715,869115,871427,873706,875948,878128,880270,882440,884462,886482,888437,890361,892269,894181,895998,897795,899545,901253,902912,904584,906240,907889,
95760,0,0,5,63,405,1520,4094,8243,14270,22552,32559,44201,57118,71455,86264,102204,118110,134566,151147,167940,184512,200824,216785,232619,247965,263110,278074,292286,306466,320003,333360,346400,359080,371378,383297,394967,406106,416945,427603,437875,447819,457429,466943,476032,484867,493490,501892,509863,517755,525259,532601,539871,546943,553801,560460,566940,573414,579604,585574,591363,597052,602557,607972,613298,618328,623378,628253,633087,637841,642508,646898,651116,655406,659408,663391,667494,671311,674918,678535,682191,685717,689208,692557,695929,699123,702286,705335,708393,711339,714241,717037,719789,722619,725289,727883,730449,732989,735491,737949,740299,742612,744876,747101,749322,751503,753634,755710,757814,759801,761775,763632,765505,767309,769111,770842,772600,774275,776010,777703,
95770,0,0,0,12,83,341,1149,2711,5264,9008,14065,20453,27772,36145,45320,55269,65702,76765,88190,99932,111997,124004,136155,148109,160027,172217,184012,195745,207170,218363,229308,240169,250879,261356,271628,281560,291181,300626,309843,318836,327692,336359,344624,352839,360793,368550,376187,383632,390954,397990,404682,411447,418048,424488,430681,436738,442752,448562,454290,459856,465328,470630,475755,480790,485669,490528,495202,499753,504227,508601,512882,517058,521127,525150,529090,532852,536553,540137,543811,547260,550692,554037,557261,560391,563487,566609,569500,572481,575354,578347,581081,583845,586461,589056,591581,594116,596660,599137,601502,603865,606152,608366,610566,612653,614772,616876,618968,621056,622953,624890,626758,628543,630367,632160,633863,635602,637311,638997,640679,
95780,0,0,0,3,24,144,518,1317,2827,5111,8271,12343,17294,23387,30257,37678,45711,54328,63522,72822,82527,92326,102430,112543,122829,132985,143151,153214,163394,173411,183256,192726,202161,211460,220636,229453,238357,246895,255244,263472,271466,279241,287113,294660,301975,308972,315895,322805,329370,335916,342438,348736,354781,360705,366629,372491,378229,383683,389096,394153,399250,404142,409004,413935,418656,423237,427810,432236,436597,440836,444959,449034,453032,456928,460717,464391,467950,471461,474915,478274,481534,484791,488054,491189,494230,497269,500234,503188,506008,508752,511477,514147,516852,519347,521795,524221,526650,529011,531386,533636,535964,538167,540278,542443,544583,546638,548659,550667,552668,554667,556629,558522,560375,562170,563974,565646,567355,569102,570754,
95790,0,0,0,1,10,49,203,615,1350,2592,4428,6971,10236,14139,18753,23942,29729,35863,42639,49874,57383,65151,73008,81072,89325,97604,106163,114540,123089,131374,139801,148033,156322,164325,172275,180281,187952,195511,203017,210492,217820,224887,231935,238737,245322,251920,258318,264543,270658,276667,282615,288436,294153,299649,305009,310156,315439,320558,325679,330613,335368,340059,344705,349197,353611,357922,362116,366345,370320,374368,378392,382361,386176,389823,393337,396849,400275,403706,407040,410333,413513,416660,419623,422646,425603,428572,431332,434126,436787,439393,442084,444718,447336,449843,452236,454612,457022,459246,461492,463732,465886,468040,470152,472255,474310,476362,478271,480270,482195,484079,485901,487637,489347,491086,492813,494552,496213,497855,499526,
95800,0,0,0,0,1,9,68,241,588,1170,2124,3473,5360,7659,10515,13795,17606,21799,26720,31706,37188,42854,48779,54946,61323,67789,74484,81202,88024,94937,101761,108464,115309,121958,128685,135293,141944,148368,154825,161056,167355,173437,179639,185716,191646,197479,203144,208725,214246,219640,224840,229935,235083,240155,245076,249833,254553,259071,263508,267998,272389,276770,281102,285190,289306,293281,297271,301159,304930,308565,312244,315795,319254,322813,326238,329672,332863,336017,339186,342296,345381,348243,351129,353988,356770,359504,362130,364689,367359,369925,372452,374936,377303,379722,382067,384384,386597,388801,390969,393135,395326,397404,399402,401384,403345,405257,407145,409072,410886,412703,414531,416309,418058,419786,421447,423092,424702,426222,427821,
95810,0,0,0,0,1,1,14,60,184,432,857,1480,2442,3677,5276,7202,9440,12077,15049,18241,21906,25794,29859,34342,38922,43504,48454,53469,58472,63641,68858,74187,79604,84697,90127,95362,100699,105982,111322,116535,121771,127056,132174,137222,142196,147105,151983,156721,161398,166074,170722,175309,179704,183983,188328,192562,196777,200984,204928,208795,212761,216782,220574,224226,227899,231434,234965,238495,241909,245235,248548,251764,254908,258023,261176,264176,267128,270091,272955,275800,278486,281195,283821,286490,289102,291617,294148,296643,299108,301558,303905,306284,308568,310725,312970,315151,317248,319324,321357,323412,325437,327323,329280,331180,332985,334735,336515,338300,340038,341768,343417,345069,346737,348387,350002,351538,353071,354612,356198,
95820,0,0,0,0,0,0,9,28,85,207,439,850,1395,2191,3157,4525,6117,8095,10222,12732,15373,18302,21481,24911,28506,32224,36092,40098,44258,48584,52816,57136,61616,66091,70546,75095,79611,84269,88881,93352,97865,102302,106722,111162,115495,119883,124297,128483,132692,136876,140969,145027,149073,152973,156881,160778,164455,168198,171835,175456,179073,182685,186134,189581,192993,196261,199439,202571,205653,208761,211850,214903,217854,220874,223829,226640,229410,232198,234831,237441,240014,242607,245123,247560,249942,252315,254697,257067,259366,261580,263823,266037,268196,270362,272371,274436,276379,278324,280246,282156,284035,285872,287650,289485,291229,292982,294701,296325,297973,299607,301264,302880,304458,305990,307522,309026,310524,311959,313366,
95830,0,0,0,0,0,0,2,11,31,84,200,403,754,1241,1882,2712,3734,4938,6479,8185,10085,12362,14566,17026,19724,22596,25550,28588,31875,35249,38715,42204,45784,49507,53209,56905,60735,64475,68262,72173,75873,79733,83503,87223,91067,94809,98461,102112,105844,109569,113134,116741,120351,123872,127322,130782,134029,137430,140712,143995,147216,150363,153467,156588,159637,162633,165610,168539,171359,174178,176999,179761,182501,185107,187683,190175,192713,195169,197638,200179,202571,204986,207243,209569,211848,214124,216426,218615,220742,222878,224877,226883,228851,230805,232748,234709,236539,238417,240284,242084,243796,245553,247350,249050,250797,252497,254128,255684,257258,258815,260356,261879,263422,264978,266398,267827,269223,270615,271976,
95840,0,0,0,0,0,0,0,0,8,25,82,174,361,627,967,1485,2098,2873,3829,4903,6124,7558,9144,10862,12742,14794,16857,19077,21424,23969,26516,29243,32041,34800,37724,40675,43704,46816,49811,52857,55893,58960,61988,65003,68072,71195,74217,77276,80411,83502,86570,89627,92608,95600,98594,101636,104621,107551,110451,113244,116029,118905,121712,124451,127210,129912,132508,135088,137695,140177,142710,145233,147630,149959,152388,154761,157041,159311,161427,163631,165699,167825,169989,172091,174207,176229,178230,180186,182153,184078,185917,187815,189746,191562,193321,195123,196849,198658,200363,202048,203752,205283,206878,208468,209980,211455,212956,214387,215856,217247,218656,220035,221479,222848,224169,225486,226806,228178,229449,
95850,0,0,0,0,0,0,0,0,3,12,26,72,129,246,392,621,934,1347,1853,2497,3289,4154,5110,6176,7354,8677,10028,11594,13168,14907,16740,18636,20565,22585,24704,26894,29161,31410,33744,36161,38551,40988,43363,45749,48319,50757,53262,55773,58212,60661,63141,65667,68230,70646,73044,75472,77921,80287,82777,85113,87367,89701,92066,94388,96629,98881,101080,103374,105589,107764,109970,112102,114142,116276,118324,120334,122413,124456,126436,128401,130252,132145,134035,135895,137724,139562,141309,143101,144863,146539,148201,149848,151474,153076,154636,156151,157743,159363,160865,162328,163806,165348,166774,168232,169675,171128,172536,173898,175279,176600,177926,179249,180481,181745,183020,184206,185413,186649,187760,
95860,0,0,0,0,0,0,0,0,0,1,2,15,34,67,137,241,396,589,837,1183,1589,2004,2527,3116,3829,4613,5458,6410,7437,8503,9637,10890,12187,13574,14951,16421,17974,19555,21209,22886,24646,26371,28072,29835,31650,33528,35438,37282,39208,41048,42967,44767,46611,48499,50438,52423,54273,56178,58064,60009,61888,63740,65639,67480,69292,71182,72986,74838,76706,78479,80315,82043,83767,85544,87332,89033,90683,92343,94022,95624,97268,98870,100490,102091,103680,105252,106792,108297,109706,111161,112592,114043,115500,116919,118312,119745,121102,122408,123762,125065,126357,127640,128942,130215,131501,132688,133953,135196,136445,137668,138832,139976,141118,142221,143336,144440,145531,146608,147674,
95870,0,0,0,0,0,0,0,0,1,1,1,5,15,25,48,83,137,213,320,477,642,882,1185,1509,1886,2326,2818,3352,3970,4621,5332,6082,6932,7840,8798,9746,10819,11905,13011,14212,15429,16622,17934,19268,20542,21820,23166,24542,25914,27329,28752,30147,31607,33112,34589,36004,37488,38999,40468,41954,43486,45033,46500,47904,49379,50843,52253,53711,55198,56646,58106,59603,61057,62567,64077,65486,66898,68304,69743,71102,72504,73850,75146,76390,77701,78964,80315,81652,82889,84134,85457,86671,87913,89151,90380,91547,92769,93955,95078,96205,97344,98398,99510,100639,101670,102675,103777,104818,105886,106953,107944,108896,109923,110894,111877,112801,113770,114751,115668,
95880,0,0,0,0,0,0,0,0,0,0,0,3,3,4,12,24,42,61,94,150,213,299,419,579,751,971,1177,1463,1773,2118,2486,2914,3382,3879,4402,4999,5614,6275,6935,7617,8309,9107,9914,10749,11553,12404,13279,14188,15109,16075,17081,18112,19144,20170,21193,22261,23239,24294,25424,26472,27565,28699,29806,30864,31928,33026,34125,35215,36300,37379,38494,39622,40659,41780,42880,43938,44982,46047,47113,48194,49243,50358,51412,52464,53515,54542,55568,56596,57595,58640,59647,60679,61607,62587,63656,64573,65476,66441,67375,68303,69221,70140,71090,71987,72917,73870,74720,75620,76435,77282,78136,78981,79840,80688,81527,82317,83152,83928,84693,
95890,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,3,5,10,23,34,54,72,107,138,195,262,351,460,571,712,874,1049,1225,1456,1703,2012,2308,2606,2933,3270,3670,4079,4500,4928,5353,5845,6353,6845,7342,7877,8442,9015,9595,10221,10829,11466,12115,12817,13490,14196,14907,15595,16322,17020,17779,18521,19244,19926,20668,21376,22072,22820,23579,24320,25089,25773,26517,27273,28037,28768,29510,30229,31000,31742,32500,33237,33999,34750,35500,36239,36940,37683,38432,39190,39886,40628,41298,42021,42692,43376,44080,44731,45446,46081,46686,47327,47999,48629,49314,49979,50642,51313,51947,52593,53224,53887,54530,55164,55816,
95900,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,3,4,4,6,9,10,19,24,41,61,78,102,126,155,199,249,312,387,456,567,669,782,915,1018,1174,1339,1500,1691,1897,2115,2319,2538,2768,3001,3259,3507,3760,4061,4361,4653,4910,5217,5545,5906,6279,6612,6967,7347,7755,8127,8499,8879,9289,9686,10081,10458,10860,11276,11651,12067,12495,12943,13371,13818,14280,14724,15165,15632,16088,16505,16931,17386,17850,18304,18723,19172,19608,20039,20493,20968,21405,21814,22258,22688,23147,23584,24026,24421,24851,25272,25694,26136,26560,27011,27460,27887,28323,28739,29187,29636,30021,30453,
95910,1,208,2612,11351,29208,56219,90326,129249,171060,214520,257484,299626,340779,380350,418414,454957,489644,522483,553584,582922,610677,636840,661667,685147,707463,728941,749033,768289,786494,803991,820539,836546,851747,866181,880054,893336,905991,917864,929389,940541,951329,961717,971613,981105,990260,998933,1007268,1015514,1023414,1030976,1038354,1045357,1052157,1058786,1065172,1071317,1077232,1083061,1088665,1094215,1099519,1104612,1109649,1114430,1118989,1123466,1127787,1132131,1136346,1140428,1144410,1148303,1151897,1155603,1159118,1162474,1165803,1169028,1172173,1175265,1178232,1181180,1184079,1186881,1189578,1192331,1195027,1197546,1200045,1202523,1204927,1207377,1209663,1211887,1214006,1216100,1218275,1220361,1222383,1224451,1226393,1228302,1230215,1232000,1233840,1235589,1237327,1239023,1240562,1242140,1243789,1245309,1246841,1248378,1249893,1251310,1252727,1254137,1255493,
95920,0,6,323,2136,7317,17042,31581,50686,73325,98716,125870,153763,182614,211192,239856,267452,294675,321110,346641,371373,395072,418290,440064,460941,480968,500012,518537,536265,553238,569788,585629,600646,615192,629053,642457,655504,668128,680006,691490,702535,713238,723602,733524,743068,752084,761185,769927,778377,786513,794464,801965,809157,816176,823061,829792,836226,842466,848649,854427,860173,865962,871456,876598,881669,886692,891495,896058,900599,905052,909493,913743,917861,921829,925704,929458,933144,936826,940448,943888,947278,950528,953718,956849,959898,962892,965870,968808,971696,974448,977114,979700,982314,984884,987315,989718,992135,994421,996627,998824,1000975,1003156,1005226,1007377,1009440,1011412,1013374,1015238,1017149,1018882,1020653,1022369,1024084,1025833,1027495,1029182,1030875,1032435,1033999,1035551,
95930,0,2,87,733,2975,7743,15862,27269,41797,58898,77889,98551,120021,142352,164761,187291,209769,231782,253523,274563,295144,315380,334729,353666,372122,389755,406697,422840,438533,453800,468589,482758,496657,509910,522698,535121,546924,558293,569203,579986,590334,600333,610023,619495,628503,637164,645748,653915,661994,669743,677302,684656,691775,698541,705211,711611,717784,723813,729585,735385,741089,746640,751988,757221,762267,767221,771959,776560,781159,785664,790001,794036,798036,802093,805859,809591,813329,816884,820502,823953,827332,830751,833958,836974,840143,843227,846208,849152,851998,854710,857480,860101,862731,865318,867820,870188,872490,874781,877041,879330,881623,883697,885810,887852,889920,891873,893830,895700,897574,899480,901324,903099,904817,906571,908216,909898,911458,913053,914637,
95940,0,0,13,190,894,2740,6306,12231,20254,30316,42478,55913,70711,86331,102800,119377,136558,153843,170955,188021,204754,221519,237884,253875,269626,284918,299817,314279,328270,341827,355134,367893,380193,392285,404017,415161,425982,436560,446989,457059,466979,476537,485632,494362,502924,511362,519416,527272,535120,542749,549857,556797,563726,570485,576954,583201,589394,595359,601104,606749,612325,617809,623120,628192,633114,637918,642681,647451,651960,656400,660669,664823,668880,672822,676717,680567,684287,687897,691399,694883,698238,701580,704849,708017,711135,714208,717172,720111,722944,725807,728531,731255,733921,736400,738935,741454,743880,746311,748641,750900,753090,755224,757376,759499,761597,763631,765679,767601,769570,771464,773332,775156,776999,778692,780436,782166,783803,785437,787065,
95950,0,0,4,32,200,754,2021,4316,7953,12984,19259,26882,35756,45752,56139,67287,79077,91165,103663,116120,128792,141662,154122,166528,179135,191450,203351,215180,226897,238403,249620,260533,271303,281852,291848,301842,311365,320779,329837,338629,347509,355909,364204,372343,380116,387779,395233,402525,409555,416502,423340,429949,436308,442498,448616,454602,460373,465956,471451,476808,482108,487233,492238,497096,501885,506545,511055,515478,519781,523992,528211,532325,536297,540255,544039,547720,551281,554814,558344,561731,565054,568277,571478,574557,577572,580577,583578,586460,589225,591986,594638,597267,599900,602434,604927,607352,609779,612214,614550,616877,619173,621348,623485,625546,627695,629740,631703,633729,635613,637513,639379,641115,642899,644565,646259,647917,649538,651152,652714,
95960,0,0,1,10,57,309,975,2239,4445,7541,11771,16886,23195,30265,38154,46753,55780,65548,75504,85687,96189,106750,117281,127879,138574,149137,159810,170132,180250,190183,200126,210025,219586,228924,238208,247120,255875,264692,273037,281232,289262,297040,304733,312314,319701,326814,333838,340532,347155,353659,360260,366521,372602,378514,384176,389863,395378,400799,405987,411176,416272,421108,425902,430576,435162,439547,443924,448357,452548,456655,460681,464596,468404,472133,475905,479543,483099,486485,489776,493139,496317,499545,502592,505702,508775,511728,514510,517233,520044,522767,525421,528066,530620,533085,535560,537978,540209,542505,544813,547121,549359,551416,553520,555646,557675,559675,561713,563584,565515,567430,569299,571125,572966,574758,576416,578138,579823,581443,583044,
95970,0,0,0,2,30,124,436,1087,2290,4076,6568,9928,13945,18787,24362,30564,37161,44359,51978,59992,68156,76449,84978,93762,102564,111375,120265,129034,137782,146505,155047,163483,171887,180193,188278,196283,204086,211862,219321,226731,233914,241173,248226,255057,261757,268128,274647,280845,286996,293010,298925,304745,310356,315786,321182,326432,331567,336736,341860,346772,351499,356120,360623,364992,369337,373665,377789,381894,385945,389973,393849,397557,401283,404921,408445,411794,415198,418541,421834,425020,428131,431250,434253,437291,440136,442955,445699,448319,451099,453617,456180,458666,461127,463627,465964,468346,470608,472947,475162,477373,479526,481579,483727,485802,487741,489785,491738,493600,495408,497323,499134,500897,502652,504337,506061,507758,509332,510953,512522,
95980,0,0,0,0,6,33,128,404,895,1787,3199,5121,7583,10681,14189,18279,22907,27954,33451,39291,45504,51870,58481,65252,72107,79090,86086,93131,100285,107491,114611,121687,128569,135391,142259,148973,155853,162464,169043,175582,181929,188235,194471,200411,206354,212206,217997,223718,229176,234627,240026,245117,250274,255373,260355,265130,269765,274468,278928,283411,287621,291894,296069,300177,304270,308291,312197,315996,319786,323403,327032,330630,334163,337515,340842,344103,347468,350546,353653,356607,359530,362545,365348,368179,370934,373657,376391,378996,381492,384016,386450,388895,391277,393598,395981,398121,400327,402554,404784,406841,408828,410872,412859,414831,416743,418633,420482,422343,424226,425943,427754,429416,431103,432816,434487,436099,437679,439237,440771,
95990,0,0,0,0,0,7,42,151,352,767,1387,2279,3566,5183,7305,9784,12605,15947,19551,23461,27568,31911,36490,41513,46561,51895,57160,62468,67916,73518,79129,84682,90312,95928,101627,107154,112665,118140,123492,128898,134289,139507,144677,149954,155104,160231,165150,170060,174773,179391,183941,188514,192940,197330,201597,205823,210020,214159,218305,222285,226240,230082,233906,237682,241443,245046,248582,252006,255410,258776,262063,265226,268309,271438,274517,277477,280470,283359,286263,289028,291699,294301,296928,299504,302060,304647,307154,309591,312013,314365,316724,319003,321259,323471,325644,327880,329981,332058,334045,336031,337950,339784,341694,343516,345395,347224,348963,350657,352383,354152,355864,357567,359171,360792,362371,363892,365414,366940,368447,
96000,0,0,0,0,0,2,15,61,162,371,747,1306,2147,3316,4703,6364,8377,10755,13404,16167,19436,22790,26298,30063,34022,38157,42476,46811,51242,55816,60348,64989,69717,74498,79142,83861,88671,93612,98393,103096,107731,112416,116986,121567,125941,130438,134851,139146,143517,147651,151910,155979,159968,164020,167961,171934,175858,179636,183408,187034,190582,194237,197775,201223,204554,207933,211225,214465,217682,220826,223939,226911,229847,232730,235595,238396,241251,244003,246650,249302,251922,254554,257062,259473,261919,264335,266661,269025,271349,273608,275746,277900,280043,282176,284239,286164,288167,290094,292035,293988,295815,297637,299413,301177,302953,304751,306442,308068,309679,311209,312889,314497,316016,317530,319041,320526,322008,323430,324898,
96010,0,0,0,0,0,1,6,19,73,169,373,683,1140,1775,2666,3754,5093,6790,8636,10681,12978,15343,17985,20905,23940,27106,30417,33924,37515,41091,44959,48852,52745,56640,60635,64637,68722,72654,76468,80425,84315,88336,92255,96182,100077,103986,107723,111473,115174,118907,122548,126281,129951,133543,137060,140476,143910,147291,150605,153821,157099,160183,163382,166623,169821,172812,175814,178747,181657,184574,187315,190039,192772,195483,198069,200623,203197,205831,208327,210739,213135,215507,217861,220200,222439,224712,226973,229112,231259,233276,235305,237327,239342,241289,243169,245001,246835,248635,250450,252168,253905,255631,257372,259052,260738,262403,264038,265671,267265,268846,270377,271867,273435,274920,276399,277856,279299,280657,282008,
96020,0,0,0,0,0,1,4,7,22,61,146,294,563,923,1392,2019,2839,3787,4921,6223,7748,9504,11353,13355,15481,17827,20224,22866,25485,28240,31021,34006,37001,40158,43283,46375,49625,52929,56193,59565,62847,66079,69374,72633,75881,79024,82180,85427,88594,91824,94997,98121,101252,104343,107412,110461,113472,116402,119354,122218,124995,127901,130678,133524,136360,139038,141678,144360,146917,149487,151999,154384,156878,159338,161690,164091,166400,168673,170966,173206,175278,177411,179488,181617,183717,185850,187909,189991,191959,193917,195832,197760,199595,201411,203187,204968,206670,208377,210121,211773,213341,214997,216590,218187,219734,221260,222796,224239,225687,227079,228493,229876,231261,232581,233893,235195,236526,237804,239106,
96030,0,0,0,0,0,0,1,1,3,19,52,110,208,384,625,980,1392,1955,2609,3426,4342,5400,6584,7958,9403,10962,12613,14411,16308,18280,20268,22298,24565,26805,29123,31538,33906,36390,38922,41478,44073,46649,49116,51811,54422,57099,59749,62218,64864,67426,70087,72601,75191,77909,80551,83084,85631,88202,90712,93126,95535,97976,100400,102746,105082,107442,109739,112148,114436,116591,118720,120853,122961,125072,127118,129197,131325,133333,135292,137220,139135,141086,143012,144983,146865,148608,150408,152172,153894,155680,157428,159059,160719,162329,163963,165507,167090,168650,170228,171696,173266,174750,176212,177636,179045,180426,181741,183154,184513,185942,187236,188532,189760,190970,192241,193418,194634,195802,197009,
96040,0,0,0,0,0,0,0,0,1,3,10,28,70,126,216,352,550,819,1158,1560,2058,2653,3295,4079,4958,5884,6899,8003,9255,10569,11898,13339,14756,16274,17965,19615,21380,23148,24943,26771,28595,30549,32490,34403,36369,38330,40415,42446,44405,46462,48472,50539,52549,54585,56670,58672,60662,62625,64612,66628,68607,70579,72504,74430,76378,78267,80222,82093,83949,85749,87533,89315,91113,92818,94583,96353,98038,99759,101443,103177,104786,106425,108029,109624,111213,112823,114361,115926,117476,119031,120496,121947,123374,124813,126227,127651,129001,130400,131711,133031,134383,135732,137054,138327,139527,140784,142023,143224,144469,145603,146878,148049,149223,150368,151470,152585,153675,154730,155814,
96050,0,0,0,0,0,0,0,0,0,0,3,9,19,52,83,138,225,359,523,731,990,1263,1646,2047,2551,3078,3651,4303,5015,5807,6655,7566,8518,9544,10640,11773,12980,14182,15448,16756,18051,19456,20803,22196,23625,25035,26561,28085,29561,31118,32588,34101,35635,37158,38689,40290,41857,43429,44915,46457,47989,49506,51091,52678,54173,55777,57289,58781,60284,61738,63253,64736,66138,67596,69106,70544,71980,73363,74812,76182,77587,78999,80363,81683,83062,84427,85755,87023,88325,89631,90876,92150,93414,94669,95914,97092,98300,99446,100580,101694,102849,104007,105131,106213,107328,108383,109472,110571,111662,112650,113686,114650,115670,116646,117660,118654,119645,120588,121529,
96060,0,0,0,0,0,0,0,0,0,0,0,1,5,7,19,39,69,117,173,243,352,462,626,837,1062,1324,1630,2008,2402,2812,3290,3776,4378,4976,5609,6308,7023,7719,8532,9336,10149,11041,11934,12838,13827,14793,15742,16787,17861,18874,19927,21010,22101,23173,24303,25358,26430,27586,28697,29837,30939,32129,33347,34518,35668,36809,37970,39125,40233,41373,42538,43636,44757,45818,46932,48054,49154,50257,51388,52485,53638,54767,55892,56952,57995,59022,60114,61111,62154,63215,64256,65320,66271,67299,68295,69306,70288,71304,72282,73223,74174,75113,76059,76950,77794,78714,79583,80461,81345,82240,83127,83984,84835,85684,86519,87347,88231,89068,89855,
96070,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,7,9,13,28,40,59,96,151,219,299,397,493,639,791,956,1148,1362,1616,1884,2164,2476,2804,3192,3590,4032,4455,4858,5334,5817,6365,6893,7440,8025,8621,9242,9866,10549,11203,11894,12585,13232,13943,14679,15418,16170,16940,17690,18455,19256,20039,20808,21548,22274,23034,23808,24561,25388,26177,26955,27761,28495,29256,30088,30872,31662,32455,33215,33988,34761,35568,36331,37066,37865,38576,39398,40149,40905,41645,42387,43146,43907,44641,45397,46132,46866,47550,48238,48947,49633,50324,51016,51708,52428,53079,53768,54450,55106,55738,56435,57101,57793,58391,59065,59691,
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96830,0,5,157,1144,4076,10183,20028,33392,49515,67867,87836,109069,130595,152596,174502,196228,217527,238212,258179,277419,296049,314103,331388,347916,363863,379279,393844,407816,421325,434241,446593,458365,469645,480816,491520,501665,511529,520831,529834,538489,546721,554641,562393,570002,577129,584080,590754,597203,603393,609342,615141,620692,626118,631387,636475,641395,646131,650705,655116,659322,663535,667675,671490,675357,679021,682541,686034,689376,692707,695981,699054,702131,705094,707904,710697,713387,716012,718577,721097,723549,725940,728232,730507,732751,734918,737029,739062,740984,742832,744733,746589,748389,750114,751829,753485,755092,756698,758263,759790,761290,762760,764184,765590,766978,768301,769606,770930,772172,773364,774544,775672,776771,777943,779056,780170,781174,782191,783259,784280,
96840,0,0,28,336,1557,4317,9482,16793,26626,38390,51812,66756,82298,98571,115532,132352,149162,165856,182455,198628,214580,229785,244507,258958,272893,286452,299476,311843,324008,335556,346895,357837,368386,378493,388196,397554,406617,415268,423656,431656,439482,446955,454297,461469,468351,474849,481274,487375,493288,499045,504587,509933,515181,520197,525060,529914,534618,539062,543461,547669,551669,555657,559480,563257,566875,570421,573800,577118,580440,583631,586734,589751,592716,595610,598370,601077,603660,606211,608733,611228,613593,615973,618228,620434,622560,624685,626723,628728,630674,632537,634477,636232,638010,639758,641461,643057,644641,646185,647730,649250,650659,652105,653507,654858,656149,657424,658667,659847,661102,662302,663491,664699,665834,666934,668004,669045,670094,671125,672120,
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97020,0,3,97,738,2666,6958,13878,23451,35303,49160,64395,80895,97941,115244,133049,150754,168327,185416,202334,218725,234696,249955,264870,279370,293194,306611,319541,332179,344326,355743,366924,377603,387895,397764,407187,416305,425052,433633,441881,449983,457632,464794,472162,479065,485702,492174,498407,504378,510321,515999,521350,526597,531756,536770,541407,545904,550305,554646,558884,562950,566846,570726,574445,578214,581736,585073,588487,591818,595011,598061,601055,604047,606966,609659,612231,614860,617374,619817,622303,624678,627007,629205,631434,633608,635703,637735,639708,641561,643430,645310,647109,648833,650536,652223,653819,655362,656941,658405,659946,661390,662832,664242,665630,666965,668309,669575,670818,672052,673296,674507,675643,676737,677867,678844,679920,680931,681898,682882,683817,
97030,0,0,16,152,784,2466,5627,10426,17003,25163,34446,44712,56292,68296,80781,93798,106952,120049,133029,146079,158849,171397,183518,195696,207522,218839,229816,240485,250899,260955,270748,280095,289233,298045,306664,314829,322775,330507,338063,345351,352339,359033,365582,371922,378063,384029,389804,395457,400836,406126,411299,416204,421015,425574,430047,434473,438891,443081,447210,451062,454824,458510,462084,465526,468977,472248,475501,478642,481787,484733,487727,490547,493339,495954,498530,501137,503599,506049,508394,510608,512921,515003,517049,519126,521120,523097,525038,526990,528840,530685,532450,534115,535815,537476,539115,540673,542255,543794,545301,546764,548123,549437,550788,552127,553451,554668,555911,557100,558263,559484,560600,561696,562753,563875,564914,565993,567060,568049,569010,
97040,0,0,3,70,381,1288,3128,6275,10737,16572,23683,31617,40481,49947,59994,70550,81402,92362,103305,114446,125423,136471,147394,157887,168353,178645,188555,198227,207608,216732,225716,234470,242812,250974,258859,266540,273950,281082,288288,295053,301705,307957,314048,320172,326072,331714,337114,342333,347607,352638,357632,362220,366978,371453,375694,379990,384144,388129,391990,395662,399348,402890,406360,409751,413043,416208,419405,422465,425391,428315,431295,434181,436801,439497,442019,444439,446923,449303,451687,453975,456152,458308,460427,462442,464389,466321,468243,470063,471895,473660,475452,477159,478852,480510,482050,483632,485154,486627,488095,489526,490921,492355,493728,494953,496232,497483,498686,499885,501017,502140,503274,504381,505467,506564,507606,508612,509646,510590,511548,
97050,0,0,4,18,143,601,1620,3477,6319,10165,15020,20740,27188,34382,42251,50586,59232,68168,77208,86272,95440,104392,113554,122588,131648,140343,149088,157743,166201,174291,182345,190258,197910,205217,212510,219519,226446,232879,239349,245652,251692,257669,263364,268917,274278,279613,284748,289638,294531,299206,303673,308255,312629,316763,320942,324914,328860,332656,336437,340134,343620,346920,350318,353596,356764,359935,362978,365887,368712,371504,374171,376903,379519,381977,384471,386881,389311,391563,393914,396158,398268,400361,402438,404462,406433,408306,410150,411947,413730,415539,417225,418876,420566,422154,423693,425196,426676,428140,429535,430914,432241,433554,434864,436196,437468,438681,439899,441060,442254,443338,444443,445551,446577,447672,448720,449730,450739,451628,452590,
97060,0,0,0,7,47,241,748,1700,3234,5567,8597,12291,16796,21901,27669,33765,40225,47113,54366,61635,68866,76501,83879,91341,98815,106170,113573,120838,127820,134835,141686,148305,154892,161550,167913,174206,180321,186234,191995,197597,203075,208419,213665,218670,223726,228611,233344,237940,242350,246673,250845,254898,258854,262889,266675,270396,274004,277594,281115,284471,287804,291115,294321,297362,300326,303180,306040,308758,311578,314224,316738,319284,321756,324179,326535,328842,331059,333243,335441,337566,339598,341566,343472,345385,347290,349135,350861,352615,354218,355868,357544,359134,360716,362259,363713,365212,366675,368095,369443,370868,372198,373481,374692,375944,377159,378383,379523,380668,381768,382861,383950,385036,386089,387127,388135,389144,390140,391126,392125,
97070,0,0,0,2,17,98,298,743,1557,2778,4550,6862,9603,12893,16777,21068,25650,30650,35773,41321,46884,52605,58396,64333,70172,76271,82241,88041,93809,99750,105486,111158,116743,122328,127842,133057,138236,143333,148273,153126,157939,162664,167279,171785,176271,180468,184604,188748,192751,196572,200393,204192,207910,211457,214964,218330,221556,224832,227970,231031,234111,237039,239923,242748,245448,248105,250759,253348,255772,258205,260638,262964,265268,267513,269704,271898,273960,276043,278157,280178,282203,284093,285924,287774,289616,291327,293006,294696,296333,297989,299566,301108,302611,304106,305508,306907,308266,309597,310924,312203,313442,314717,315853,317030,318119,319277,320458,321531,322632,323673,324680,325680,326698,327682,328681,329628,330556,331488,332342,
97080,0,0,0,1,7,45,166,430,907,1743,2928,4538,6494,8891,11750,14932,18537,22333,26524,30937,35434,40128,44991,49930,54889,59968,64917,70004,75161,80279,85278,90301,95180,99985,104802,109738,114443,118990,123548,128025,132399,136580,140783,144923,148921,152768,156617,160498,164121,167698,171269,174656,178081,181434,184658,187877,190940,194056,197000,199950,202737,205501,208184,210836,213562,216138,218601,221028,223445,225814,228101,230411,232566,234673,236781,238820,240803,242739,244691,246572,248427,250256,251953,253704,255370,257102,258759,260387,261952,263494,264927,266356,267757,269143,270524,271854,273217,274538,275838,277101,278367,279591,280789,281922,283069,284202,285302,286412,287479,288462,289482,290497,291437,292350,293257,294154,295044,295961,296845,
97090,0,0,0,0,3,14,67,206,494,936,1674,2696,4073,5760,7720,10078,12719,15568,18635,22000,25542,29350,33284,37276,41164,45184,49511,53745,58036,62201,66505,70805,75068,79323,83533,87620,91728,95837,99833,103821,107702,111495,115252,118931,122480,126059,129568,132917,136275,139661,142914,146131,149225,152309,155272,158158,160971,163717,166488,169143,171755,174359,176838,179267,181784,184234,186504,188789,191065,193215,195361,197462,199502,201468,203479,205366,207278,209092,210842,212604,214305,216039,217798,219368,221039,222628,224145,225624,227154,228528,229987,231358,232756,234146,235486,236798,238070,239316,240471,241635,242801,243953,245077,246114,247215,248285,249344,250365,251394,252421,253333,254232,255164,256080,256938,257850,258692,259547,260434,
97100,0,0,0,0,2,11,33,84,219,455,861,1484,2310,3344,4575,6046,7965,10036,12295,14818,17491,20213,23085,26146,29324,32655,35891,39358,42815,46341,49897,53452,56931,60465,63893,67520,70978,74429,77922,81229,84562,87896,91202,94356,97445,100519,103596,106536,109510,112435,115366,118228,121084,123807,126480,129086,131727,134197,136772,139121,141373,143663,145992,148250,150468,152633,154724,156749,158802,160889,162888,164808,166815,168665,170465,172266,174025,175703,177460,179105,180668,182224,183750,185190,186645,188019,189490,190940,192328,193742,195116,196486,197757,199000,200282,201449,202616,203811,204974,206056,207102,208119,209112,210148,211176,212120,213122,214098,215015,215959,216904,217789,218649,219535,220395,221246,222076,222895,223701,
97110,0,0,0,0,0,1,9,30,95,198,388,731,1176,1816,2592,3585,4833,6259,7759,9432,11259,13255,15389,17637,19945,22317,24914,27511,30249,32869,35647,38560,41328,44097,46921,49883,52642,55420,58222,61064,63830,66712,69541,72324,75072,77710,80301,82835,85419,87864,90349,92844,95256,97606,99886,102208,104467,106710,108907,111024,113090,115041,117129,119170,121070,123002,124916,126777,128616,130403,132158,133841,135498,137132,138753,140329,141924,143507,144983,146472,147952,149419,150825,152232,153582,154937,156230,157469,158763,159987,161252,162497,163727,164939,166086,167195,168333,169363,170440,171470,172461,173442,174432,175416,176358,177285,178192,179112,180009,180909,181744,182585,183441,184255,185016,185810,186581,187349,188123,
97120,0,0,0,0,0,1,1,6,31,66,146,305,509,805,1230,1801,2418,3200,4153,5160,6380,7680,9140,10643,12267,13952,15742,17495,19516,21545,23593,25655,27727,29875,32023,34196,36364,38581,40798,42904,45148,47431,49735,51994,54223,56355,58489,60667,62726,64861,66931,69020,70995,72940,74828,76769,78659,80494,82375,84269,86000,87789,89541,91237,92897,94539,96242,97812,99452,100988,102566,104052,105572,107042,108449,109885,111240,112596,113936,115241,116591,117856,119179,120425,121632,122828,123967,125146,126294,127341,128504,129568,130615,131646,132690,133700,134709,135690,136693,137650,138566,139466,140364,141210,142131,142943,143803,144683,145471,146256,147072,147848,148572,149343,150081,150856,151585,152309,153012,
97130,0,0,0,0,0,0,0,0,2,16,39,86,177,318,542,801,1167,1621,2143,2728,3436,4279,5199,6236,7346,8507,9742,11105,12419,13877,15405,16939,18467,19970,21560,23258,24929,26666,28424,30208,31942,33707,35464,37206,38956,40701,42338,44048,45763,47455,49119,50805,52455,54049,55672,57256,58785,60339,61845,63400,64899,66401,67907,69382,70852,72246,73661,75021,76369,77708,79007,80323,81656,82942,84202,85448,86624,87792,88957,90125,91248,92369,93495,94596,95733,96759,97807,98835,99879,100904,101889,102769,103645,104590,105549,106477,107340,108162,109013,109864,110687,111519,112361,113148,113929,114704,115535,116257,116946,117672,118381,119082,119800,120451,121138,121806,122459,123096,123713,
97140,0,0,0,0,0,0,0,0,0,5,18,31,66,127,208,329,484,672,964,1291,1626,2078,2611,3182,3779,4436,5193,6018,6932,7833,8789,9793,10842,11879,12962,14058,15190,16389,17608,18832,20077,21274,22495,23659,24906,26153,27389,28681,29942,31280,32524,33879,35135,36411,37678,38923,40157,41396,42660,43846,45064,46276,47459,48698,49802,50973,52062,53135,54258,55380,56434,57501,58578,59652,60697,61695,62674,63666,64657,65599,66542,67488,68355,69232,70149,71001,71906,72760,73628,74454,75296,76082,76917,77673,78477,79277,80062,80808,81608,82318,83028,83698,84376,85073,85722,86388,87079,87754,88381,89021,89646,90231,90830,91454,92036,92619,93171,93761,94301,
97150,0,0,0,0,0,0,0,0,0,0,1,2,9,17,45,72,133,181,274,409,577,790,1010,1285,1575,1915,2292,2688,3130,3636,4164,4696,5241,5851,6518,7209,7893,8628,9381,10116,10900,11703,12444,13280,14075,14993,15866,16730,17599,18480,19346,20256,21148,21991,22903,23840,24723,25590,26496,27383,28244,29136,29982,30883,31669,32529,33373,34212,35110,35859,36629,37436,38200,38957,39750,40519,41266,42005,42747,43481,44241,44977,45659,46447,47147,47881,48553,49212,49857,50524,51163,51825,52493,53122,53742,54358,54957,55535,56176,56779,57377,57953,58521,59077,59576,60151,60655,61184,61669,62242,62758,63271,63774,64272,64708,65180,65658,66117,66571,
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97720,0,17,421,2741,8856,20073,35953,56015,79178,104300,130088,156311,182193,207709,232416,256219,278869,300659,321463,341172,359763,377295,393953,409831,424876,439476,453163,465966,478167,489800,500802,511413,521414,530768,539761,548423,556653,564657,572124,579345,586264,592882,599079,605107,610892,616426,621785,626754,631662,636312,640910,645369,649576,653565,657454,661138,664738,668164,671458,674703,677758,680761,683662,686542,689347,692011,694554,697054,699458,701707,703924,706044,708189,710209,712170,714036,715845,717642,719355,721073,722650,724237,725772,727276,728740,730146,731523,732867,734244,735467,736708,737900,739052,740102,741208,742269,743245,744238,745229,746224,747121,748083,748987,749861,750677,751549,752334,753111,753867,754582,755242,755955,756618,757307,757990,758627,759248,759839,760409,
97730,0,8,151,1092,4225,10613,20556,33938,50105,68143,87957,108334,129282,150146,170580,190658,210213,229091,247382,264750,281313,297126,312163,326712,340597,353850,366359,378274,389802,400691,411060,421008,430438,439397,447915,456333,464103,471801,479049,485951,492618,498936,505095,510917,516524,521778,526968,532010,536758,541450,545991,550342,554438,558330,562258,565951,569421,572737,576077,579275,582417,585353,588323,591210,593891,596494,599053,601547,603844,606155,608399,610599,612698,614722,616633,618557,620386,622173,623947,625621,627240,628821,630332,631814,633218,634654,635996,637249,638558,639809,641082,642233,643358,644497,645564,646646,647648,648630,649561,650504,651446,652336,653270,654151,654981,655828,656623,657396,658174,658922,659620,660316,661025,661701,662360,663032,663654,664300,664871,
97740,0,0,37,354,1729,4905,10395,18461,28775,41253,54909,69570,85249,100914,116927,133014,148718,164147,179407,194037,208421,222093,235313,248024,260176,272003,283388,294057,304449,314390,323935,332958,341604,350077,358108,365687,372935,380015,386694,393320,399410,405480,411322,416842,422174,427302,432301,437087,441629,446101,450371,454395,458264,462134,465958,469410,472827,476259,479565,482803,485802,488661,491434,494087,496665,499209,501793,504285,506514,508750,510911,513010,515026,517105,519011,520879,522655,524398,526088,527753,529497,531065,532484,533913,535383,536794,538143,539484,540782,541983,543200,544320,545460,546588,547662,548655,549657,550624,551617,552565,553485,554381,555265,556103,556941,557713,558536,559289,560074,560768,561531,562304,562983,563622,564257,564883,565534,566126,566723,
97750,0,0,9,96,556,1781,4274,8463,14254,21500,30342,40247,50891,62106,73574,85368,97236,109024,120929,132594,143881,155128,166011,176619,186829,196942,206411,215656,224696,233201,241539,249663,257327,264770,271926,278772,285558,291997,298155,304214,309874,315432,320708,325852,330889,335658,340317,344689,348898,352996,356979,360802,364466,368159,371565,374908,378255,381336,384486,387361,390292,393131,395787,398346,400820,403213,405570,407891,410103,412257,414372,416470,418514,420490,422385,424233,425914,427685,429302,430851,432453,434028,435496,436957,438367,439800,441140,442433,443718,444959,446143,447324,448443,449491,450520,451597,452620,453642,454581,455545,456459,457320,458180,459017,459853,460628,461437,462201,462942,463647,464392,465085,465771,466444,467080,467703,468312,468868,469447,
97760,0,0,3,47,240,975,2503,5272,9412,14615,21314,28809,37183,45992,55397,65149,75370,85515,95872,105699,115654,125616,135193,144666,153837,162756,171171,179726,187891,195860,203524,210909,217994,224891,231500,237932,244112,250038,255881,261594,266969,272277,277345,282099,286750,291300,295589,299844,303899,307881,311740,315472,318990,322424,325748,328936,332041,335051,337934,340797,343629,346319,348809,351327,353762,356010,358335,360553,362694,364818,366855,368812,370735,372549,374374,376242,377970,379670,381278,382871,384385,385883,387359,388731,390093,391360,392634,393947,395137,396330,397525,398684,399808,400844,401953,402923,403946,404928,405873,406772,407692,408560,409386,410189,411007,411818,412572,413353,414081,414809,415511,416139,416827,417491,418124,418712,419308,419889,420493,
97770,0,0,1,14,123,506,1421,3153,5752,9348,13962,19421,25740,32587,39954,47726,55858,64179,72792,81199,89590,98008,106254,114533,122445,130258,137868,145236,152508,159504,166477,173328,179777,185931,192033,197875,203575,209080,214430,219534,224387,229239,233997,238500,242963,247271,251281,255280,259131,262836,266439,269865,273230,276443,279566,282730,285740,288596,291278,293946,296500,299073,301544,303879,306093,308372,310515,312676,314683,316715,318726,320631,322382,324269,326033,327707,329396,331007,332548,334063,335459,336860,338218,339561,340861,342105,343319,344547,345723,346877,347980,349049,350095,351149,352155,353171,354115,355030,355987,356859,357721,358582,359441,360233,361023,361768,362543,363262,363927,364648,365334,366006,366620,367252,367894,368497,369140,369731,370283,
97780,0,0,0,3,43,201,658,1650,3257,5536,8700,12497,16949,21970,27601,33469,39683,46287,53016,59769,66616,73633,80596,87323,94090,100786,107362,113897,120171,126369,132295,138126,143887,149461,154832,160238,165218,170098,175065,179772,184288,188642,192918,197036,201050,204844,208628,212392,215916,219314,222689,225950,229108,232167,235144,237952,240730,243360,245905,248410,250894,253246,255565,257886,259990,262187,264276,266235,268249,270132,271948,273751,275477,277177,278863,280438,282035,283574,285085,286564,287967,289301,290646,291981,293284,294587,295822,296999,298137,299232,300340,301397,302473,303532,304493,305493,306453,307325,308161,309054,309880,310762,311621,312389,313181,313922,314656,315356,316040,316702,317372,318039,318699,319306,319898,320517,321092,321663,322236,
97790,0,0,0,1,16,82,273,736,1550,2933,4816,7264,10118,13599,17483,21682,26189,31073,36183,41516,46921,52425,57930,63368,68944,74392,79791,85096,90401,95681,100791,105813,110715,115487,120148,124730,129189,133542,137753,141926,145974,149843,153597,157290,160922,164407,167748,171014,174215,177275,180261,183277,186164,188903,191610,194137,196694,199151,201560,203934,206263,208438,210578,212665,214670,216600,218474,220363,222179,224028,225843,227609,229273,230815,232377,233851,235362,236750,238125,239541,240870,242136,243374,244629,245860,247042,248219,249271,250371,251471,252495,253494,254478,255451,256406,257352,258316,259193,260039,260875,261677,262458,263153,263870,264573,265283,265991,266713,267397,268061,268756,269378,269971,270515,271073,271645,272161,272682,273182,
97800,0,0,0,2,8,40,156,425,937,1830,3159,4856,6992,9540,12416,15780,19422,23468,27644,31893,36345,40956,45697,50469,55177,59919,64717,69373,73936,78587,83142,87631,91891,96147,100400,104534,108551,112447,116302,120148,123794,127363,130851,134276,137575,140769,143833,146954,149906,152891,155748,158517,161126,163726,166188,168651,170996,173307,175567,177737,179885,181875,183917,185910,187857,189727,191578,193340,195115,196713,198313,199931,201486,203019,204524,206003,207412,208738,210073,211391,212701,214001,215177,216420,217564,218675,219745,220740,221784,222786,223879,224792,225718,226657,227559,228419,229246,230047,230898,231691,232431,233202,233907,234638,235344,236091,236771,237435,238100,238747,239355,239939,240459,241065,241634,242168,242672,243189,243716,
97810,0,0,0,0,2,15,77,249,562,1124,2000,3182,4699,6611,8768,11330,14153,17238,20670,24135,27818,31625,35502,39374,43367,47280,51205,55163,59134,63211,67212,71050,74812,78500,82373,85916,89519,93042,96450,99901,103225,106412,109553,112693,115619,118600,121464,124308,127024,129748,132308,134828,137231,139624,141910,144209,146519,148629,150655,152709,154676,156581,158467,160289,162055,163826,165531,167200,168788,170372,171887,173354,174844,176279,177672,179035,180371,181697,183011,184306,185504,186654,187797,188933,190092,191156,192256,193301,194277,195221,196213,197114,197970,198867,199738,200581,201403,202170,202970,203684,204397,205133,205854,206536,207193,207848,208500,209162,209777,210389,210962,211558,212111,212633,213157,213682,214207,214713,215233,
97820,0,0,0,0,2,6,39,143,306,631,1134,1895,2932,4213,5717,7554,9603,11757,14277,16956,19804,22790,25934,29033,32229,35498,38761,42108,45464,48843,52075,55387,58631,61865,65076,68306,71427,74461,77441,80380,83326,86227,89004,91728,94408,96984,99472,101938,104313,106659,109075,111401,113561,115673,117779,119860,121826,123810,125712,127532,129354,131190,132922,134613,136270,137892,139484,141084,142575,144008,145440,146852,148191,149548,150832,152107,153340,154594,155793,156966,158074,159187,160235,161244,162223,163245,164221,165215,166103,167030,167900,168735,169554,170431,171217,172006,172753,173486,174176,174883,175643,176313,176995,177641,178293,178891,179513,180125,180689,181274,181849,182414,182950,183497,183970,184506,184959,185443,185867,
97830,0,0,0,0,0,3,15,44,129,288,556,1013,1613,2395,3419,4601,6025,7632,9428,11343,13382,15599,17906,20280,22751,25309,27887,30603,33266,36061,38744,41432,44160,46783,49360,52033,54523,57134,59673,62217,64723,67136,69597,71964,74360,76533,78746,80888,82987,85073,87142,89180,91206,93139,95037,96855,98655,100490,102233,103893,105598,107237,108708,110225,111687,113135,114476,115885,117244,118597,119841,121092,122336,123513,124724,125886,127037,128137,129202,130220,131243,132268,133188,134160,135163,136108,136978,137823,138710,139543,140356,141144,141902,142667,143395,144126,144845,145557,146238,146968,147622,148285,148954,149553,150156,150736,151323,151868,152434,153004,153530,154063,154534,155036,155480,155946,156398,156875,157264,
97840,0,0,0,0,0,3,5,19,60,130,259,477,774,1217,1797,2529,3449,4492,5629,6935,8323,9886,11435,13191,14944,16771,18695,20658,22706,24667,26722,28836,30863,32919,34991,37053,39184,41309,43426,45515,47451,49450,51495,53486,55382,57164,59007,60838,62637,64414,66198,67955,69548,71128,72754,74290,75810,77335,78822,80385,81793,83213,84551,85888,87275,88546,89785,90964,92165,93346,94488,95588,96691,97772,98846,99872,100862,101874,102781,103746,104698,105649,106526,107445,108295,109152,109979,110758,111563,112378,113123,113826,114570,115299,115971,116674,117322,117971,118634,119213,119788,120381,120974,121528,122065,122575,123080,123579,124099,124600,125087,125539,125987,126440,126910,127382,127784,128181,128596,
97850,0,0,0,0,0,0,0,3,19,47,111,216,370,621,944,1345,1878,2504,3201,3976,4954,6071,7179,8355,9584,10916,12336,13770,15295,16830,18422,20067,21752,23367,25037,26672,28343,29972,31655,33344,34932,36553,38170,39771,41376,42916,44431,45954,47479,48932,50327,51809,53210,54583,55926,57244,58615,59944,61202,62451,63674,64850,66044,67178,68319,69410,70519,71599,72693,73692,74739,75674,76655,77598,78478,79396,80352,81284,82137,82964,83803,84644,85434,86241,86991,87785,88509,89251,89963,90674,91336,91996,92624,93287,93904,94523,95132,95693,96277,96840,97380,97916,98428,98918,99432,99947,100414,100839,101283,101733,102180,102627,103041,103478,103892,104273,104670,105032,105389,
97860,0,0,0,0,0,0,0,0,1,14,37,78,146,236,382,603,877,1209,1650,2169,2689,3328,3996,4795,5585,6492,7443,8380,9378,10496,11632,12755,13923,14995,16200,17418,18668,19837,21032,22251,23479,24657,25883,27113,28261,29435,30662,31874,33049,34246,35348,36460,37590,38653,39761,40845,41920,42977,43975,44922,45976,46988,47968,48916,49868,50758,51659,52543,53413,54265,55123,55974,56773,57567,58395,59160,59891,60587,61315,62029,62722,63376,64073,64735,65400,66039,66655,67277,67873,68439,69057,69637,70159,70724,71303,71833,72325,72832,73344,73805,74309,74829,75314,75779,76235,76635,77029,77459,77870,78280,78702,79078,79468,79850,80219,80559,80890,81288,81647,
97870,0,0,0,0,0,0,0,0,0,1,6,21,44,83,133,212,309,440,622,826,1071,1393,1758,2159,2604,3088,3609,4151,4735,5364,5981,6679,7464,8186,8920,9702,10533,11336,12133,12934,13808,14673,15539,16389,17199,18094,18963,19841,20732,21595,22424,23277,24073,24946,25709,26479,27280,28075,28875,29633,30371,31116,31880,32585,33301,34040,34761,35450,36143,36801,37483,38133,38775,39389,39996,40641,41236,41799,42402,42975,43551,44078,44643,45152,45684,46198,46699,47206,47723,48193,48667,49117,49577,50045,50491,50899,51286,51712,52157,52562,52983,53356,53739,54126,54484,54853,55214,55559,55914,56247,56592,56922,57239,57541,57851,58184,58472,58780,59037,
97880,0,0,0,0,0,0,0,0,0,0,2,3,8,15,23,42,79,114,174,233,321,427,557,704,865,1052,1260,1493,1738,2026,2349,2674,3022,3401,3823,4224,4652,5065,5497,5950,6427,6906,7360,7857,8339,8827,9332,9827,10293,10828,11373,11932,12431,12947,13498,14052,14534,15054,15530,16017,16506,17000,17511,17988,18481,18958,19483,19953,20401,20833,21292,21751,22223,22669,23109,23567,23955,24354,24752,25148,25543,25914,26295,26684,27081,27422,27765,28137,28517,28901,29237,29565,29869,30189,30522,30835,31126,31446,31729,32032,32326,32583,32865,33168,33422,33661,33921,34177,34444,34677,34922,35161,35415,35640,35888,36137,36364,36564,36774,
97890,4,560,5184,18680,42522,74465,112194,152515,193563,234194,272999,310224,345498,378441,409368,438580,465581,490700,514097,536043,557058,576357,594321,611381,627196,642300,656357,669655,682154,694032,705142,715626,725773,735214,744357,752841,760919,768614,775945,783019,789603,796036,802057,807749,813379,818727,823825,828808,833452,838011,842273,846494,850531,854306,857926,861528,864896,868174,871177,874247,877141,879947,882656,885282,887824,890371,892788,895090,897376,899527,901607,903626,905537,907458,909277,911020,912720,914345,916004,917544,919024,920452,921880,923243,924562,925858,927112,928339,929493,930596,931756,932859,933935,934941,935913,936861,937783,938659,939524,940400,941216,942073,942843,943635,944401,945172,945910,946644,947240,947896,948543,949170,949780,950385,950979,951534,952112,952657,953234,
97900,0,74,1137,5505,15101,30391,50653,74430,100494,127719,155346,182713,209491,235486,260435,283978,306680,328012,348570,367719,385935,403224,419539,434908,449422,463271,476381,488894,500517,511788,522520,532374,542040,551039,559603,567872,575892,583592,590644,597604,604155,610500,616565,622449,627957,633234,638178,643175,647945,652354,656817,661031,664953,668690,672465,676032,679428,682780,686018,689160,692164,694955,697765,700462,703114,705699,708162,710520,712780,715003,717111,719150,721178,723138,725020,726832,728611,730329,732041,733707,735246,736792,738334,739724,741113,742370,743691,744979,746264,747475,748630,749763,750855,751896,752924,753926,754916,755867,756836,757736,758668,759547,760385,761192,762021,762814,763579,764327,765029,765737,766453,767126,767826,768460,769081,769706,770245,770783,771352,
97910,0,23,435,2446,7582,16771,29910,46317,65064,85717,107490,129392,151326,173069,193777,214102,233618,252386,270520,287598,303809,319662,334643,348786,362487,375276,387502,399298,410509,421104,431198,440944,450268,459064,467238,475311,482971,490289,497404,504072,510468,516647,522580,528307,533694,538807,543728,548616,553216,557663,561928,566199,570214,574098,577739,581366,584769,588024,591294,594289,597323,600064,602826,605464,608119,610597,613033,615410,617691,619848,622074,624107,626075,628035,629941,631748,633554,635273,636901,638543,640082,641563,643017,644467,645875,647163,648470,649694,650927,652168,653324,654392,655485,656548,657631,658641,659632,660611,661591,662495,663362,664247,665054,665887,666728,667589,668370,669107,669822,670499,671184,671845,672524,673199,673827,674469,675051,675613,676178,
97920,0,4,155,966,3410,8288,16113,26557,39244,53635,69355,85812,102827,119899,136501,153173,169506,185523,200702,215433,229645,243394,256644,269340,281553,293194,304372,314832,324953,334699,344116,352947,361446,369545,377384,384935,392026,398878,405418,411665,417741,423545,429124,434575,439665,444511,449326,453924,458460,462694,466901,470900,474710,478463,482069,485501,488903,492178,495213,498264,501289,504138,506927,509548,512140,514608,517065,519343,521604,523799,525842,527974,529907,531716,533602,535390,537186,538906,540514,542093,543648,545211,546701,548107,549437,550776,552036,553314,554543,555779,556999,558150,559234,560324,561409,562419,563390,564323,565276,566173,567103,568001,568854,569763,570577,571407,572155,572895,573667,574397,575093,575796,576455,577088,577726,578312,578932,579511,580081,
97930,0,0,34,294,1242,3375,7222,12850,20381,29409,39520,50874,62785,75081,87708,100410,113233,125677,138092,149957,161604,172953,184158,194830,205128,214923,224538,233767,242603,251349,259733,267714,275214,282605,289630,296288,302940,309263,315350,321010,326659,331984,337147,342084,346915,351539,356089,360431,364621,368662,372567,376294,379762,383226,386602,389832,393014,396139,399120,401983,404723,407371,410025,412597,415054,417399,419751,422018,424153,426227,428248,430246,432146,434093,435845,437613,439308,440980,442608,444150,445625,447211,448649,450017,451386,452735,453986,455230,456522,457695,458895,459996,461058,462100,463129,464150,465128,466110,467011,467924,468807,469656,470488,471265,472029,472822,473560,474281,475019,475711,476410,477105,477780,478396,479026,479625,480235,480810,481374,
97940,0,0,12,143,672,1953,4536,8500,13869,20750,28688,37511,47099,57163,67531,77952,88833,99568,110319,120961,131126,141287,151122,160751,170088,179201,187845,196396,204758,212723,220243,227500,234623,241398,247955,254084,260300,266149,271859,277314,282619,287765,292677,297343,301867,306251,310439,314577,318550,322442,326231,329835,333298,336750,340122,343202,346271,349260,352040,354770,357492,360171,362729,365204,367570,369884,372064,374269,376386,378362,380379,382380,384176,386006,387700,389387,391045,392739,394331,395896,397434,398881,400283,401651,402955,404284,405537,406792,408060,409255,410413,411510,412565,413623,414655,415676,416635,417587,418431,419346,420235,421105,421914,422715,423524,424312,425025,425750,426454,427139,427848,428512,429116,429763,430382,430989,431532,432107,432669,
97950,0,0,3,44,310,1038,2528,5065,8744,13451,19156,25869,33220,41094,49262,57935,66737,75763,84869,93753,102694,111318,119879,128281,136443,144480,152063,159613,166875,174025,180909,187709,194247,200390,206517,212372,217995,223463,228791,233961,238974,243711,248347,252831,257145,261275,265307,269335,273125,276870,280385,283770,287071,290242,293303,296324,299368,302126,304802,307428,310015,312533,314961,317307,319623,321832,323924,326045,328059,329960,331848,333724,335589,337306,338996,340508,342242,343807,345262,346828,348289,349691,351082,352398,353672,354925,356193,357396,358551,359682,360769,361884,362832,363818,364843,365879,366790,367713,368636,369516,370370,371270,372072,372851,373631,374391,375150,375877,376597,377305,377990,378661,379261,379884,380516,381151,381748,382336,382895,
97960,0,0,2,22,127,524,1347,2834,5120,8373,12297,17033,22389,28357,34794,41454,48376,55575,63035,70514,77769,85104,92318,99563,106827,113724,120385,127078,133504,139742,145824,151735,157444,162943,168423,173728,178925,183928,188743,193452,197937,202196,206557,210632,214505,218346,222074,225674,229132,232553,235855,239087,242225,245117,248101,250887,253683,256300,258836,261322,263786,266232,268538,270646,272798,274884,276964,278951,280890,282753,284609,286377,288111,289794,291412,292972,294491,295992,297452,298910,300368,301672,302926,304164,305395,306596,307780,308978,310060,311224,312307,313310,314352,315409,316367,317256,318193,319043,319883,320760,321598,322384,323181,323967,324724,325467,326196,326850,327534,328203,328835,329457,330064,330677,331255,331837,332405,332932,333466,
97970,0,0,0,4,42,209,629,1403,2682,4503,6965,10177,13875,17921,22492,27415,32601,37989,43518,49335,55077,60894,66886,72775,78523,84138,89856,95480,100823,106292,111419,116653,121710,126561,131304,135941,140456,144892,149174,153357,157369,161418,165208,168850,172368,175902,179268,182475,185599,188730,191758,194659,197561,200266,202946,205497,207984,210534,212949,215234,217484,219703,221850,223835,225849,227854,229798,231640,233451,235169,236917,238589,240185,241790,243286,244770,246242,247651,249057,250397,251710,253011,254235,255400,256535,257640,258819,259911,260954,262009,263023,264012,265003,265953,266825,267725,268593,269440,270303,271120,271901,272661,273336,274108,274797,275508,276176,276851,277541,278186,278821,279429,280038,280649,281211,281789,282355,282865,283399,
97980,0,0,0,3,23,104,353,867,1751,3073,4857,7111,9764,12942,16610,20578,24760,29269,33818,38629,43649,48579,53616,58596,63565,68676,73610,78464,83328,88192,92846,97315,101780,106220,110516,114643,118697,122811,126755,130503,134175,137592,141069,144594,147903,151177,154338,157497,160449,163271,166104,168806,171439,174006,176506,178904,181373,183695,185950,188185,190320,192374,194439,196345,198183,199976,201815,203633,205403,207083,208724,210328,211984,213410,214870,216300,217694,219069,220415,221720,223038,224214,225401,226551,227735,228854,229920,230990,232012,233010,233992,234962,235879,236775,237638,238490,239334,240200,240992,241766,242566,243322,244085,244780,245486,246112,246784,247419,248095,248699,249347,249962,250528,251094,251618,252141,252674,253163,253603,
97990,0,0,0,1,7,50,187,463,960,1762,2978,4583,6578,8916,11640,14643,17898,21443,25218,29011,33019,37111,41388,45615,49935,54233,58470,62775,66876,71090,75146,79269,83213,87060,90890,94636,98267,101834,105312,108719,112152,115401,118645,121691,124665,127724,130660,133417,136159,138843,141380,143832,146305,148705,151021,153269,155511,157673,159805,161764,163845,165690,167649,169400,171182,172830,174552,176277,177935,179482,181012,182551,183994,185471,186820,188193,189505,190787,192050,193257,194456,195602,196743,197836,198891,199947,200956,201960,202952,203943,204868,205753,206656,207551,208395,209231,210038,210802,211606,212360,213063,213802,214473,215177,215842,216492,217135,217773,218320,218898,219476,220053,220564,221097,221644,222121,222649,223181,223701,
98000,0,0,0,1,4,22,76,221,515,975,1716,2823,4123,5813,7690,9943,12378,15022,17851,20923,24151,27411,30783,34297,37682,41080,44568,48099,51604,55164,58712,62216,65538,68875,72119,75262,78589,81706,84811,87791,90718,93694,96580,99371,102130,104790,107301,109857,112337,114760,117076,119365,121640,123850,125957,128037,130060,132053,133891,135815,137684,139417,141204,142898,144576,146238,147790,149320,150839,152299,153699,155102,156489,157806,159113,160340,161587,162809,164008,165115,166246,167321,168418,169474,170468,171478,172422,173375,174328,175225,176088,176920,177765,178580,179374,180109,180911,181705,182484,183179,183876,184574,185272,185959,186578,187169,187737,188332,188897,189473,190020,190600,191142,191648,192142,192658,193150,193604,194084,
98010,0,0,0,0,1,13,32,104,261,541,979,1532,2306,3380,4679,6191,7845,9810,11926,14167,16611,19124,21728,24374,27133,29887,32752,35633,38543,41373,44225,47068,49957,52765,55539,58242,61001,63677,66376,68993,71486,74003,76482,78879,81199,83394,85620,87869,90017,92133,94222,96290,98257,100184,102160,103959,105783,107649,109341,111009,112688,114260,115854,117379,118964,120385,121858,123254,124603,125885,127125,128443,129699,130872,132105,133257,134344,135431,136458,137508,138519,139476,140426,141370,142301,143245,144168,145022,145816,146635,147442,148203,148998,149785,150543,151276,151968,152671,153370,154032,154715,155395,156003,156607,157190,157786,158341,158903,159449,159987,160509,161050,161570,162077,162564,163080,163522,163963,164398,
98020,0,0,0,0,0,4,15,41,122,260,523,850,1306,1909,2680,3584,4655,5888,7253,8754,10364,12126,13968,15878,17864,19903,22053,24191,26459,28742,30954,33189,35501,37696,39926,42046,44258,46368,48521,50653,52757,54892,56890,58880,60878,62838,64790,66644,68493,70316,72121,73806,75503,77222,78873,80409,81958,83486,85001,86457,87928,89277,90672,92004,93339,94626,95948,97175,98366,99591,100760,101810,102930,103953,105036,106071,107075,108006,108981,109954,110851,111814,112723,113632,114456,115340,116123,116928,117755,118517,119279,119998,120723,121434,122103,122732,123384,124027,124655,125294,125871,126483,127061,127589,128157,128684,129210,129742,130221,130752,131241,131732,132202,132660,133137,133572,133999,134433,134804,
98030,0,0,0,0,0,1,1,11,35,80,187,337,576,921,1361,1896,2541,3325,4225,5239,6360,7570,8814,10216,11657,13132,14707,16284,17925,19611,21289,23039,24836,26528,28308,30054,31841,33566,35250,36989,38703,40400,42092,43747,45387,46990,48696,50334,51925,53405,54891,56352,57799,59203,60568,61948,63318,64614,65910,67145,68418,69601,70771,71913,73073,74199,75252,76369,77373,78396,79445,80434,81413,82352,83301,84173,85100,85956,86837,87693,88492,89330,90081,90901,91633,92389,93140,93868,94554,95257,95924,96574,97221,97884,98525,99143,99760,100364,100913,101457,102021,102567,103052,103579,104126,104610,105105,105572,106016,106448,106888,107327,107730,108142,108535,108910,109293,109674,110051,
98040,0,0,0,0,0,0,0,2,6,25,56,120,246,409,650,933,1308,1759,2238,2851,3548,4259,5093,6017,6947,7965,8991,10119,11231,12387,13617,14851,16140,17402,18684,20024,21337,22658,23937,25261,26611,27856,29195,30524,31769,32963,34221,35448,36662,37900,39147,40387,41568,42724,43825,44962,46065,47159,48181,49255,50306,51315,52310,53312,54223,55158,56075,57008,57947,58822,59715,60551,61376,62178,62974,63733,64518,65264,66014,66742,67465,68144,68796,69442,70093,70720,71395,71993,72591,73175,73747,74316,74888,75437,75991,76486,77004,77517,77999,78476,78972,79411,79888,80336,80761,81216,81657,82055,82454,82858,83279,83651,84017,84372,84700,85059,85408,85744,86099,
98050,0,0,0,0,0,0,0,1,2,6,15,33,75,135,218,330,479,666,917,1216,1589,1973,2423,2876,3390,3954,4570,5227,5898,6625,7389,8182,8982,9784,10607,11448,12316,13184,14105,14984,15885,16748,17651,18580,19488,20387,21249,22130,23034,23933,24846,25711,26567,27423,28274,29094,29942,30779,31592,32422,33186,33980,34727,35496,36257,36994,37697,38404,39135,39817,40464,41123,41778,42424,43013,43661,44277,44896,45483,46080,46651,47225,47779,48314,48831,49382,49930,50432,50929,51432,51930,52387,52862,53293,53743,54143,54533,54984,55365,55792,56219,56589,56964,57295,57676,58010,58387,58738,59054,59387,59704,60026,60364,60675,60980,61280,61586,61892,62184,
98060,0,0,0,0,0,0,0,0,0,0,0,4,9,13,23,46,95,145,221,347,480,615,766,950,1141,1374,1634,1893,2185,2481,2845,3253,3674,4104,4547,4994,5413,5890,6372,6856,7349,7864,8361,8846,9373,9911,10448,10967,11476,12027,12553,13115,13678,14231,14788,15309,15855,16378,16889,17480,17995,18517,19030,19550,20034,20551,21041,21569,22062,22540,23048,23513,23984,24422,24896,25355,25762,26170,26606,27031,27452,27839,28263,28643,29054,29412,29767,30115,30481,30838,31205,31542,31873,32184,32515,32856,33139,33483,33794,34074,34371,34669,34943,35247,35522,35804,36063,36298,36563,36833,37092,37360,37604,37853,38088,38332,38559,38794,39024,
98070,24,1340,9365,28464,58178,95490,137027,179978,222474,263384,302787,339399,373878,406477,436807,464749,491024,515369,538164,559512,579124,597710,615228,631416,646717,660879,674232,686956,699013,710333,721177,731302,740803,749752,758269,766403,774129,781466,788469,795224,801598,807642,813433,818900,824180,829206,834036,838720,843230,847558,851634,855594,859398,863035,866552,869956,873215,876445,879375,882283,885106,887811,890450,892977,895408,897739,899942,902143,904267,906307,908252,910133,912027,913857,915596,917350,918974,920625,922144,923624,925086,926493,927894,929175,930504,931735,932937,934060,935219,936351,937448,938496,939500,940505,941475,942383,943236,944142,945011,945876,946693,947495,948254,948991,949724,950427,951161,951850,952546,953196,953827,954475,955105,955672,956254,956769,957318,957869,958372,
98080,1,222,2304,8996,22158,41439,65203,92135,120427,149314,178086,205939,232981,258847,283949,307295,329688,350961,370975,389853,407468,424441,440388,455504,469655,482841,495645,507519,518965,529630,539844,549672,559044,567807,576236,584448,592101,599381,606329,612921,619238,625238,631005,636608,641834,647021,651810,656546,661298,665642,669764,673806,677678,681449,685059,688543,691921,695205,698299,701321,704205,706987,709704,712257,714756,717097,719371,721611,723793,725969,727993,729899,731853,733705,735505,737274,739006,740600,742215,743809,745265,746720,748139,749553,750874,752122,753467,754623,755811,756995,758097,759201,760271,761335,762364,763381,764337,765239,766153,767040,767908,768719,769534,770311,771098,771852,772619,773332,774037,774742,775396,776030,776697,777309,777945,778595,779178,779751,780270,
98090,1,73,896,4291,11955,24114,40356,59640,81026,103681,126695,149694,172475,194916,216401,237108,257189,275972,293973,310934,327265,342593,357317,371076,384240,396795,408796,420165,430876,441147,450964,460215,468970,477439,485606,493363,500749,507638,514322,520729,527029,532977,538837,544301,549461,554480,559309,563943,568321,572518,576589,580591,584386,588095,591704,595052,598350,601555,604658,607725,610573,613319,616041,618636,621182,623572,625896,628146,630342,632458,634567,636595,638440,640368,642202,644066,645772,647434,649075,650668,652177,653610,654990,656338,657708,659056,660312,661546,662744,663903,665049,666187,667264,668304,669302,670311,671284,672197,673101,673986,674898,675782,676589,677427,678273,679062,679855,680618,681307,682019,682708,683340,683959,684606,685196,685786,686365,686928,687484,
98100,0,22,315,1789,5616,12455,22481,35270,50152,66465,83976,101615,119415,137117,154831,172041,188649,204901,220367,235421,249496,263075,276004,288380,300293,311778,322652,333210,342989,352410,361411,370046,378469,386425,394137,401445,408361,415051,421494,427549,433592,439271,444622,449858,454916,459685,464402,468904,473258,477344,481346,485299,489062,492669,496188,499423,502639,505743,508779,511785,514574,517319,520032,522544,525080,527444,529796,532067,534201,536345,538394,540352,542330,544120,545911,547695,549366,551095,552685,554182,555736,557218,558684,560089,561366,562692,563989,565164,566391,567518,568611,569752,570810,571910,572862,573813,574799,575761,576659,577555,578422,579295,580173,580977,581791,582598,583348,584112,584832,585529,586202,586872,587497,588131,588767,589346,589907,590508,591068,
98110,0,0,55,542,2044,5298,10612,17962,27220,37663,49337,61814,74828,88210,101676,115028,128218,141121,153808,166257,178343,189858,200883,211491,221754,231774,241619,250878,259781,268122,276093,283888,291515,298787,305786,312398,318793,324892,330887,336489,342006,347300,352372,357269,362003,366542,370931,375283,379292,383234,387066,390731,394229,397661,400943,404287,407433,410374,413214,416072,418789,421428,423974,426451,428835,431130,433392,435560,437642,439748,441824,443841,445697,447477,449334,451103,452761,454407,455967,457437,458942,460355,461772,463141,464450,465762,466986,468268,469430,470621,471787,472899,473959,475031,476036,476996,477904,478831,479678,480552,481417,482246,483052,483899,484688,485438,486204,486936,487666,488343,489012,489619,490262,490875,491496,492102,492696,493284,493823,
98120,0,3,40,279,1163,3232,6721,11906,18677,26815,36044,46091,56751,67748,79140,90387,101723,112815,123898,134781,145394,155779,165892,175701,184935,194117,203016,211491,219653,227497,234965,242219,249424,256114,262648,268927,274821,280812,286401,291786,297025,301926,306860,311483,315865,320345,324537,328691,332694,336507,340074,343661,347092,350434,353582,356788,359763,362582,365425,368248,370937,373507,376054,378561,380877,383164,385382,387492,389534,391551,393512,395329,397196,398987,400693,402305,403967,405601,407094,408608,410078,411557,412873,414294,415614,416884,418136,419323,420500,421694,422765,423870,424912,425921,426835,427821,428768,429631,430567,431487,432356,433133,433937,434695,435509,436268,436987,437674,438383,439006,439666,440318,440931,441540,442129,442678,443248,443824,444370,
98130,0,0,15,134,635,1814,4034,7549,12089,17836,24729,32507,40916,49732,58726,67902,77362,86834,96248,105677,114970,124077,133079,141863,150307,158413,166345,174005,181473,188738,195786,202444,209076,215394,221470,227333,232979,238320,243553,248721,253495,258161,262778,267152,271497,275541,279475,283353,287072,290673,294295,297690,300871,304031,307110,310038,312979,315806,318553,321172,323771,326257,328596,330933,333118,335349,337444,339469,341453,343362,345299,347086,348853,350564,352205,353830,355420,357022,358602,359994,361476,362870,364231,365540,366824,368022,369244,370390,371571,372695,373801,374853,375865,376878,377825,378745,379720,380572,381448,382297,383129,383937,384683,385474,386219,386912,387583,388319,389024,389667,390373,391007,391643,392234,392810,393387,393988,394529,395078,
98140,0,0,2,43,254,874,2094,4223,7290,11357,16185,21787,27986,34673,41835,49234,56840,64401,72178,79887,87675,95288,102802,110177,117579,124658,131600,138345,144924,151281,157464,163424,169244,174932,180412,185676,190857,195796,200498,205179,209652,214062,218331,222393,226382,230335,233943,237470,241041,244461,247764,250975,254076,256993,259791,262538,265196,267836,270277,272659,275161,277512,279698,281914,284078,286121,288214,290184,292084,293888,295684,297434,299129,300745,302350,303787,305342,306818,308254,309635,310986,312302,313654,314886,316169,317325,318488,319587,320745,321792,322831,323794,324768,325815,326742,327722,328619,329556,330402,331234,332015,332843,333577,334346,335039,335741,336460,337147,337808,338420,339052,339688,340307,340876,341430,342007,342565,343104,343608,
98150,0,0,0,12,121,403,1031,2156,3942,6492,9615,13421,17778,22611,27792,33164,38882,44859,50967,57181,63557,69627,75748,81765,87758,93644,99410,105121,110751,116199,121490,126605,131807,136776,141535,146152,150736,155109,159455,163576,167697,171607,175404,179108,182615,186097,189562,192850,196073,199124,202133,205131,207946,210777,213398,215989,218408,220862,223316,225609,227883,230059,232194,234144,236165,238077,239951,241804,243616,245367,247022,248680,250378,251934,253451,254936,256350,257780,259109,260409,261711,262984,264206,265437,266682,267816,268874,269943,271000,272020,273019,273974,274887,275837,276818,277667,278501,279390,280224,281049,281852,282585,283325,284065,284746,285405,286081,286768,287413,288042,288682,289277,289826,290388,291009,291562,292089,292594,293082,
98160,0,0,0,11,58,217,641,1380,2601,4333,6614,9377,12721,16365,20515,24945,29685,34575,39689,44807,50186,55651,61127,66364,71614,76819,81993,87176,92262,97114,102003,106694,111289,115718,120136,124292,128472,132578,136452,140260,144010,147629,151145,154711,158129,161255,164321,167422,170446,173300,176133,178916,181530,184069,186588,188981,191306,193561,195779,197981,200070,202077,204021,205946,207858,209721,211495,213263,215027,216695,218244,219825,221353,222815,224337,225761,227123,228510,229840,231065,232342,233545,234703,235811,236896,237991,239073,240094,241135,242090,243052,244028,244942,245887,246709,247593,248388,249206,250040,250800,251546,252266,252988,253707,254360,255041,255683,256280,256867,257484,258062,258661,259272,259819,260390,260967,261494,262012,262535,
98170,0,0,0,0,20,107,316,760,1550,2717,4328,6381,8850,11624,14818,18239,21995,26003,30165,34474,38848,43230,47695,52266,56902,61418,65899,70465,74864,79180,83460,87685,91809,95914,99803,103677,107436,111093,114718,118249,121536,124898,128122,131254,134270,137316,140271,143112,145698,148404,151028,153663,156098,158473,160789,163057,165316,167538,169626,171658,173607,175507,177415,179336,181141,182877,184601,186234,187836,189476,190920,192413,193930,195372,196764,198074,199437,200670,201804,202982,204146,205279,206366,207442,208454,209467,210480,211466,212443,213447,214389,215321,216231,217110,217921,218744,219534,220337,221125,221907,222652,223317,224005,224688,225314,225965,226597,227189,227760,228360,228946,229514,230096,230624,231168,231646,232158,232671,233133,
98180,0,0,0,3,10,52,156,420,892,1637,2625,4015,5674,7797,10140,12761,15576,18601,21817,25145,28681,32204,35733,39440,43175,46995,50764,54479,58281,61865,65495,69010,72487,76026,79472,82791,86065,89234,92402,95454,98461,101399,104314,107148,109935,112511,115144,117671,120153,122591,124979,127243,129461,131621,133710,135788,137808,139767,141697,143547,145395,147188,148956,150712,152416,154028,155592,157153,158683,160178,161634,163042,164405,165669,166963,168227,169452,170661,171876,172962,174086,175152,176237,177240,178234,179169,180129,181084,181967,182865,183715,184632,185457,186248,187044,187872,188604,189346,190041,190777,191446,192134,192789,193388,194034,194687,195308,195890,196417,196983,197533,198076,198568,199092,199584,200104,200602,201046,201489,
98190,0,0,0,0,4,22,61,181,414,810,1443,2269,3275,4667,6165,7971,9924,12107,14502,17040,19676,22429,25155,28102,31045,34062,37047,40107,43006,46046,49047,52047,55016,58034,60927,63765,66554,69285,72065,74779,77436,79962,82469,84892,87327,89736,92024,94217,96508,98731,100831,102983,104985,106942,108856,110692,112490,114268,116031,117689,119377,120941,122503,124051,125572,126994,128395,129781,131135,132504,133801,135077,136380,137621,138788,139902,141002,142088,143157,144214,145273,146261,147224,148204,149078,149936,150809,151687,152573,153394,154214,155003,155791,156588,157303,158003,158675,159376,160036,160687,161375,162019,162609,163210,163840,164468,165039,165602,166166,166748,167318,167828,168336,168856,169334,169803,170253,170711,171119,
98200,0,0,0,0,3,8,23,71,183,350,622,1073,1661,2444,3378,4475,5807,7237,8901,10678,12503,14478,16553,18633,20784,22970,25239,27594,29954,32384,34802,37237,39577,41883,44164,46456,48777,51088,53341,55532,57671,59859,62019,63993,66129,68134,70014,71863,73756,75604,77421,79244,80983,82659,84283,85898,87480,89009,90586,92077,93544,94967,96358,97726,99023,100337,101549,102750,104030,105206,106424,107554,108686,109785,110799,111832,112813,113855,114833,115780,116721,117657,118544,119432,120268,121107,121934,122779,123518,124279,124990,125747,126453,127205,127895,128546,129214,129856,130404,130980,131563,132121,132697,133276,133796,134308,134881,135384,135868,136343,136825,137327,137793,138221,138652,139074,139483,139875,140256,
98210,0,0,0,0,0,3,7,23,60,138,295,536,838,1328,1937,2670,3478,4379,5480,6602,7911,9314,10734,12357,13964,15683,17323,19051,20821,22654,24497,26284,28174,29992,31821,33615,35514,37356,39180,40950,42749,44584,46367,48149,49904,51613,53343,54944,56535,58097,59638,61138,62622,64124,65527,66957,68286,69638,70969,72276,73569,74845,76064,77226,78392,79573,80725,81825,82906,83951,84929,85984,86978,87963,88883,89806,90756,91598,92493,93364,94183,95025,95846,96604,97395,98104,98828,99600,100270,100968,101614,102279,102895,103500,104141,104703,105294,105834,106374,106930,107477,108040,108544,109027,109547,110098,110592,111031,111493,111917,112343,112739,113172,113587,114003,114366,114794,115176,115545,
98220,0,0,0,0,0,0,1,13,28,55,116,215,358,571,862,1253,1688,2222,2799,3535,4306,5179,6145,7146,8222,9337,10526,11689,12968,14232,15581,16877,18250,19684,21001,22352,23752,25171,26526,27910,29299,30650,32048,33412,34710,35989,37302,38608,39851,41123,42388,43663,44858,46056,47249,48375,49522,50623,51759,52830,53842,54882,55902,56924,57926,58910,59844,60775,61685,62592,63429,64299,65082,65883,66712,67512,68304,69002,69750,70446,71165,71865,72522,73204,73875,74512,75151,75817,76424,77059,77653,78227,78766,79286,79801,80372,80929,81412,81901,82396,82914,83404,83875,84324,84744,85205,85601,86014,86408,86796,87194,87576,87958,88320,88704,89071,89433,89771,90102,
98230,0,0,0,0,0,0,0,0,3,13,28,47,99,187,301,446,648,921,1239,1622,2022,2485,2959,3525,4104,4746,5426,6151,6906,7771,8641,9472,10318,11215,12118,13039,13953,14892,15876,16830,17812,18727,19709,20638,21644,22603,23509,24467,25369,26339,27264,28232,29127,30007,30913,31755,32621,33415,34249,35107,35929,36748,37563,38336,39167,39933,40697,41371,42099,42827,43515,44201,44875,45567,46181,46808,47468,48059,48681,49242,49859,50420,50975,51518,52055,52603,53128,53670,54168,54670,55151,55659,56092,56531,56972,57436,57843,58278,58735,59154,59566,59908,60275,60659,61019,61392,61771,62130,62462,62785,63083,63406,63750,64050,64357,64650,64964,65253,65567,
98240,0,0,0,0,0,0,0,0,1,3,6,9,11,38,65,110,168,240,334,434,571,728,883,1101,1354,1643,1949,2281,2659,3021,3449,3887,4302,4746,5239,5754,6263,6740,7270,7805,8359,8945,9467,10042,10639,11218,11792,12418,12959,13544,14122,14686,15245,15827,16367,16959,17539,18102,18676,19246,19773,20309,20849,21377,21939,22439,22971,23483,23975,24484,24984,25427,25895,26372,26813,27317,27767,28195,28599,28999,29441,29854,30247,30616,30985,31349,31731,32162,32552,32896,33253,33621,33981,34345,34638,34926,35214,35502,35799,36094,36399,36678,36968,37256,37521,37800,38062,38338,38591,38872,39120,39366,39610,39867,40104,40368,40604,40828,41061,
98250,64,2599,14341,39058,74044,115333,159608,204051,247566,289092,328155,364935,399199,431097,460556,487976,513333,537024,559093,579538,598746,616592,633158,648630,663197,676927,689796,702040,713474,724302,734597,744385,753531,762441,770654,778534,786150,793193,799892,806396,812540,818566,824124,829524,834810,839729,844468,848836,853078,857217,861250,865022,868610,872169,875558,878835,881978,884979,887956,890757,893447,896000,898389,900836,903217,905572,907768,909820,911846,913765,915657,917444,919250,921000,922686,924357,925946,927514,928981,930404,931817,933147,934463,935751,936907,938092,939315,940481,941613,942694,943752,944784,945749,946724,947667,948580,949447,950330,951178,951963,952762,953542,954302,955035,955769,956464,957174,957834,958478,959102,959682,960312,960904,961469,962028,962550,963056,963590,964101,
98260,6,478,3961,13648,30497,53490,80183,109538,139499,169868,199503,228475,255999,282329,306940,330468,352356,373204,393029,411438,428765,445080,460295,474808,488657,501774,513934,525686,536650,547015,557155,566647,575598,584160,592323,600147,607412,614445,621204,627546,633716,639597,645157,650358,655481,660323,665142,669695,674103,678258,682371,686266,689886,693545,696995,700425,703654,706690,709685,712595,715447,718163,720821,723428,725767,728047,730378,732570,734715,736723,738777,740693,742600,744392,746179,747975,749602,751144,752719,754224,755749,757191,758602,759919,761242,762480,763758,764883,766022,767141,768283,769351,770401,771429,772419,773331,774290,775125,776030,776877,777770,778590,779405,780140,780969,781721,782448,783169,783836,784510,785175,785819,786432,787012,787590,788211,788811,789331,789877,
98270,1,171,1772,6919,17281,32303,51337,73367,96897,120988,145260,169129,192377,214963,236726,257408,277325,296153,313767,330615,346655,362015,376369,390257,403119,415407,427037,438255,448882,458997,468612,477714,486308,494520,502497,510126,517375,524232,530938,537189,543410,549196,554764,560039,565150,569931,574533,578998,583304,587543,591499,595435,599298,602913,606260,609637,612753,615878,618862,621855,624658,627394,629997,632410,634835,637259,639610,641799,643966,645985,648068,650025,651866,653693,655432,657147,658864,660565,662128,663649,665068,666456,667773,669091,670397,671684,672870,674097,675278,676376,677541,678524,679591,680650,681648,682590,683532,684385,685239,686080,686901,687763,688587,689368,690084,690838,691583,692279,692931,693602,694247,694909,695559,696137,696731,697316,697864,698387,698926,
98280,1,42,631,3024,8498,17332,29484,44513,61060,78906,97608,116580,135424,154009,172030,189514,206490,222630,238004,253010,267120,280697,293752,306361,318289,329506,340323,350481,360266,369480,378411,386945,395095,402995,410398,417633,424330,430823,437096,443205,448968,454528,459873,465045,469888,474544,479023,483438,487636,491741,495709,499660,503394,506906,510372,513720,516781,519777,522747,525733,528469,531023,533457,535975,538424,540825,543054,545318,547446,549407,551454,553340,555249,557066,558875,560580,562240,563892,565446,567068,568512,569947,571398,572725,574070,575325,576536,577822,579028,580226,581364,582436,583492,584442,585427,586438,587386,588319,589160,589997,590871,591672,592483,593264,593996,594719,595448,596190,596877,597512,598169,598827,599430,600046,600668,601240,601805,602373,602921,
98290,0,7,176,1044,3352,7782,14732,23604,34188,46306,59336,73045,86875,100745,114782,128627,142232,155603,168518,181068,192976,204535,215934,226733,237204,247169,256692,265910,274850,283156,291111,298930,306409,313575,320334,326864,333211,339163,345046,350586,356039,361202,366188,371100,375673,380180,384439,388650,392660,396425,400103,403849,407285,410605,413787,416952,420055,423058,425928,428712,431431,434026,436563,438974,441394,443659,445843,447944,449982,451984,453958,455875,457707,459515,461172,462830,464442,466068,467579,469058,470558,471975,473412,474703,475967,477229,478386,479553,480771,481932,483054,484115,485184,486192,487183,488158,489118,490056,490889,491738,492589,493375,494156,494925,495650,496375,497105,497854,498582,499291,499956,500604,501272,501894,502468,503059,503676,504257,504819,
98300,0,3,84,519,1952,4799,9490,15956,24036,33518,43858,54888,66395,78149,90298,102298,114025,125638,136972,148141,159024,169467,179497,189369,198743,208013,216795,225274,233554,241383,249025,256322,263285,270109,276690,282815,288859,294734,300342,305678,310925,315890,320714,325380,329817,334065,338249,342306,346213,349877,353428,356815,360240,363502,366694,369750,372664,375493,378250,380966,383629,386131,388557,390905,393224,395466,397626,399662,401687,403657,405485,407273,409027,410759,412433,414047,415671,417276,418845,420260,421704,423082,424418,425761,427076,428296,429496,430660,431794,432883,433996,435086,436120,437074,438077,439000,439924,440832,441733,442536,443375,444156,444923,445694,446467,447218,447904,448602,449301,449979,450601,451221,451873,452459,453059,453632,454206,454753,455288,
98310,0,0,35,277,994,2749,5808,10228,15858,22766,30754,39422,48779,58529,68294,78327,88275,98109,108087,117824,127329,136556,145569,154403,163047,171296,179383,187074,194606,201795,208840,215525,221829,228039,234030,239847,245364,250810,255925,261042,265802,270433,275045,279374,283523,287587,291510,295273,298943,302437,305804,309129,312349,315436,318434,321355,324139,326875,329559,332185,334595,337022,339436,341723,343904,346060,348060,350053,352001,353914,355797,357549,359271,360963,362648,364239,365766,367353,368840,370329,371719,373018,374309,375535,376896,378155,379283,380470,381601,382741,383855,384902,385888,386880,387757,388641,389529,390443,391340,392227,393036,393814,394545,395315,396049,396757,397460,398159,398870,399523,400145,400763,401399,402022,402599,403203,403702,404261,404786,
98320,0,0,8,100,484,1441,3250,6046,9723,14611,20348,26891,33871,41334,49092,57118,65256,73458,81633,89809,97856,105850,113594,121120,128532,135719,142730,149532,156312,162762,168989,174976,180949,186740,192333,197542,202680,207570,212367,216959,221494,225821,229999,234066,238026,241766,245484,249061,252401,255691,258974,262008,265135,268059,270942,273743,276432,279026,281533,283977,286301,288635,290884,293042,295093,297195,299189,301039,302871,304623,306320,308123,309850,311449,313051,314583,316001,317460,318892,320310,321635,322916,324187,325432,326696,327868,329068,330200,331306,332374,333396,334410,335389,336334,337262,338147,339048,339935,340786,341617,342397,343192,343988,344737,345442,346168,346834,347477,348088,348738,349371,349993,350589,351159,351733,352307,352863,353374,353877,
98330,0,0,1,24,176,641,1561,3189,5460,8536,12326,16700,21626,26992,32844,39028,45220,51709,58212,64853,71516,78123,84488,90840,97031,103252,109188,115010,120659,126201,131594,136939,142059,147075,151999,156812,161444,165889,170204,174345,178435,182363,186175,189892,193429,196915,200273,203617,206756,209939,212892,215831,218672,221289,223942,226512,229027,231393,233744,236031,238304,240473,242472,244537,246503,248446,250273,252113,253831,255560,257229,258812,260421,261989,263506,265017,266396,267709,269082,270373,271661,272895,274111,275326,276502,277573,278682,279784,280850,281833,282797,283764,284689,285657,286517,287390,288249,289075,289838,290614,291414,292143,292844,293563,294274,294971,295657,296322,296899,297529,298141,298730,299352,299955,300522,301069,301585,302080,302615,
98340,0,0,2,15,70,340,910,1980,3630,5747,8658,12039,15913,20253,24858,29871,35042,40353,45808,51541,57074,62689,68316,73816,79402,84772,90038,95481,100566,105635,110614,115395,120022,124720,129137,133549,137771,141803,145839,149708,153491,157041,160520,164002,167283,170524,173719,176876,179801,182744,185486,188132,190915,193530,196047,198413,200750,203074,205345,207519,209596,211642,213593,215515,217430,219253,221076,222880,224561,226264,227859,229421,230916,232409,233815,235205,236579,237877,239141,240390,241599,242770,243904,245064,246111,247234,248294,249291,250301,251312,252284,253216,254102,254952,255799,256690,257493,258287,259041,259836,260626,261347,262047,262747,263412,264033,264669,265282,265883,266480,267066,267643,268213,268743,269255,269836,270318,270818,271290,
98350,0,0,0,4,37,170,527,1207,2216,3757,5720,8289,11147,14498,18069,22050,26201,30615,35090,39701,44352,49080,53769,58620,63409,68071,72707,77287,81836,86273,90634,94894,99119,103198,107222,111057,114858,118561,122157,125741,129191,132480,135764,138863,141989,144939,147882,150709,153481,156246,158899,161346,163815,166224,168603,170869,173172,175230,177330,179441,181423,183383,185237,187006,188859,190583,192217,193872,195446,196941,198536,200058,201454,202780,204121,205445,206791,208018,209234,210366,211525,212647,213806,214886,215930,216980,217983,218928,219856,220838,221747,222628,223536,224410,225265,226094,226878,227665,228459,229122,229853,230541,231209,231880,232570,233182,233815,234430,235033,235598,236160,236699,237247,237793,238282,238806,239300,239771,240268,
98360,0,0,0,4,22,81,255,630,1260,2268,3555,5246,7266,9694,12361,15276,18398,21804,25252,28899,32563,36449,40427,44309,48315,52410,56256,60182,64141,67964,71691,75378,79154,82753,86361,89772,93198,96508,99716,102960,106021,109031,112019,114810,117590,120291,122953,125491,127946,130451,132862,135214,137478,139689,141795,143873,145866,147892,149790,151629,153420,155142,156886,158679,160315,161956,163565,165133,166657,168080,169498,170828,172181,173518,174726,176041,177192,178424,179600,180780,181879,182958,184068,185153,186131,187065,187992,188891,189738,190656,191509,192340,193142,193965,194802,195568,196343,197024,197725,198451,199125,199779,200406,201035,201654,202270,202883,203486,204054,204607,205158,205689,206217,206729,207264,207777,208284,208748,209204,
98370,0,0,0,0,8,32,103,262,565,1149,1935,2954,4281,5904,7803,9949,12224,14724,17401,20181,23060,26005,29100,32190,35368,38535,41816,44988,48141,51309,54396,57603,60640,63668,66684,69652,72574,75311,78079,80804,83460,86081,88634,91095,93574,95957,98349,100608,102917,105065,107158,109198,111150,113104,114973,116859,118760,120597,122331,124099,125770,127304,128896,130468,131952,133418,134835,136219,137552,138830,140114,141478,142728,143940,145087,146238,147336,148426,149517,150582,151631,152648,153615,154534,155517,156446,157291,158149,159055,159837,160677,161461,162273,163049,163843,164593,165274,165906,166575,167224,167854,168494,169140,169751,170349,170937,171504,172050,172645,173213,173697,174189,174668,175158,175633,176114,176548,176963,177427,
98380,0,0,0,0,1,8,36,106,261,533,963,1561,2295,3251,4452,5784,7322,9030,10923,12882,14931,17010,19347,21614,24018,26430,28959,31498,34096,36643,39078,41552,44055,46573,49002,51432,53773,56103,58464,60792,63027,65159,67333,69443,71503,73555,75578,77448,79395,81244,83063,84836,86592,88223,89910,91633,93193,94753,96277,97792,99245,100739,102146,103606,104983,106279,107526,108762,110024,111222,112415,113546,114702,115792,116839,117804,118793,119760,120675,121612,122579,123486,124360,125210,126055,126889,127689,128520,129359,130144,130846,131560,132321,132999,133686,134380,135051,135641,136254,136856,137421,138004,138577,139136,139660,140225,140777,141296,141804,142301,142737,143183,143621,144076,144471,144919,145322,145730,146096,
98390,0,0,0,0,1,4,11,35,96,232,454,728,1148,1715,2395,3219,4253,5375,6612,7957,9360,10961,12616,14266,16028,17738,19544,21411,23390,25352,27337,29282,31236,33131,35091,37072,38988,40844,42679,44631,46509,48374,50155,51884,53640,55334,56928,58589,60237,61792,63377,64963,66453,67994,69436,70864,72247,73661,74986,76338,77632,78983,80209,81360,82642,83752,84896,86021,87112,88178,89212,90236,91247,92232,93175,94111,94969,95919,96796,97679,98555,99333,100157,101036,101837,102605,103358,104107,104777,105514,106196,106843,107441,108083,108660,109286,109881,110456,111025,111560,112097,112612,113117,113639,114153,114628,115118,115581,116049,116547,116988,117426,117851,118247,118606,119005,119399,119761,120144,
98400,0,0,0,0,0,0,3,13,27,73,149,280,489,751,1107,1601,2155,2820,3582,4382,5253,6242,7234,8385,9565,10792,12148,13485,14871,16244,17644,19115,20521,22008,23489,24929,26415,27877,29316,30762,32232,33588,35031,36419,37830,39219,40561,41864,43174,44509,45784,47034,48238,49419,50632,51826,53050,54237,55323,56421,57494,58508,59570,60593,61582,62516,63538,64446,65382,66309,67174,68093,68955,69795,70640,71460,72214,72927,73686,74421,75155,75870,76595,77253,77917,78591,79227,79848,80444,81033,81684,82293,82860,83470,83988,84566,85068,85601,86062,86566,87053,87545,87996,88438,88866,89312,89733,90150,90570,90970,91372,91750,92139,92504,92851,93183,93555,93871,94195,
98410,0,0,0,0,0,0,3,4,11,21,53,97,169,276,421,607,846,1170,1521,1945,2404,2944,3532,4125,4795,5535,6300,7122,7934,8841,9755,10689,11670,12637,13660,14606,15606,16590,17625,18649,19686,20704,21682,22678,23701,24705,25700,26655,27620,28538,29462,30352,31297,32238,33123,34020,34914,35781,36679,37552,38442,39315,40113,40893,41661,42430,43150,43943,44655,45355,46056,46747,47415,48011,48643,49306,49913,50567,51177,51794,52394,52945,53526,54092,54672,55230,55758,56302,56838,57379,57843,58330,58818,59270,59728,60192,60609,61019,61437,61863,62287,62718,63086,63442,63801,64169,64513,64880,65220,65566,65905,66204,66526,66823,67155,67463,67773,68058,68363,
98420,0,0,0,0,0,0,0,0,0,3,7,16,25,50,78,133,207,297,405,552,745,955,1174,1425,1690,1974,2260,2621,3022,3434,3908,4371,4863,5368,5944,6470,7049,7639,8212,8815,9426,9990,10552,11108,11759,12380,12993,13577,14208,14834,15449,16029,16631,17242,17842,18429,19056,19638,20219,20782,21360,21893,22446,23076,23637,24160,24701,25228,25746,26257,26729,27237,27718,28191,28640,29084,29547,29989,30419,30831,31298,31710,32116,32529,32955,33370,33782,34184,34556,34919,35274,35629,35984,36321,36650,36982,37308,37624,37971,38279,38571,38862,39144,39434,39734,40033,40291,40588,40849,41135,41386,41634,41911,42151,42428,42723,42969,43174,43384,
98430,182,4404,20471,50406,89704,134412,181050,226665,270881,312409,351281,387486,420775,452224,481019,507529,532305,555369,576766,596564,615184,632422,648646,663740,677823,691183,703934,715792,726863,737280,747035,756369,765319,773733,781839,789342,796547,803400,809933,816147,822066,827656,833048,838220,843229,847884,852477,856868,860885,864862,868670,872350,875893,879320,882674,885871,888909,891778,894584,897287,899841,902299,904704,907102,909364,911566,913677,915668,917613,919540,921345,923166,924913,926575,928239,929854,931367,932895,934361,935770,937085,938448,939720,940988,942186,943357,944480,945539,946637,947696,948666,949648,950548,951435,952321,953216,954114,954984,955818,956643,957434,958192,958886,959639,960299,960951,961614,962229,962854,963524,964138,964739,965301,965843,966391,966941,967505,967997,968447,
98440,13,898,6087,18826,39087,65302,94635,125958,157852,189298,219792,248555,275978,302069,327038,350439,372385,393019,412507,430661,447715,463694,478884,493140,506566,519257,531304,542664,553369,563551,573063,582264,590978,599154,606926,614446,621688,628639,635152,641378,647479,653140,658487,663703,668631,673425,677940,682389,686686,690696,694674,698452,702105,705635,708988,712310,715513,718520,721404,724250,727038,729706,732272,734703,737037,739346,741543,743635,745673,747593,749538,751426,753178,754930,756641,758292,759879,761462,762998,764471,765889,767275,768568,769867,771127,772297,773517,774564,775685,776773,777883,778927,779940,780944,781933,782849,783752,784609,785534,786400,787203,787999,788772,789514,790256,790906,791646,792264,792923,793541,794184,794779,795337,795960,796565,797102,797669,798224,798744,
98450,5,352,2862,10131,22988,40521,62036,85950,111019,136332,161466,186326,209913,232717,254594,275195,295062,313664,331180,348164,364138,379064,393140,406604,419229,431316,442770,453782,464026,473768,483056,491816,500354,508557,516184,523731,530857,537554,543994,550043,555855,561505,566866,572066,576973,581803,586342,590647,594951,599013,602904,606659,610307,613884,617218,620427,623482,626465,629417,632210,634904,637584,640110,642590,644963,647226,649376,651546,653615,655673,657579,659462,661281,663040,664817,666509,668121,669641,671176,672690,674076,675477,676814,678059,679356,680558,681721,682877,684013,685114,686215,687325,688376,689349,690331,691290,692186,693036,693920,694759,695609,696422,697254,697998,698756,699533,700240,700937,701636,702255,702874,703539,704163,704805,705404,705988,706516,707024,707523,
98460,0,111,1055,4542,11753,22779,37208,54115,72243,91529,111191,131136,150539,169475,187954,205858,222906,239146,254834,269732,284023,297676,310665,322973,334750,345888,356500,366739,376272,385347,394218,402550,410627,418311,425670,432554,439309,445777,452041,457920,463530,469072,474352,479374,484257,488782,493179,497471,501572,505569,509353,513035,516698,520140,523400,526588,529639,532539,535449,538270,541011,543588,546074,548473,550813,553121,555353,557510,559585,561670,563653,565556,567351,569134,570803,572488,574139,575740,577280,578701,580089,581495,582898,584233,585425,586634,587748,588933,590032,591166,592264,593394,594343,595326,596244,597208,598199,599069,599967,600814,601650,602480,603235,603956,604738,605468,606220,606943,607630,608352,609031,609631,610190,610791,611435,612051,612621,613170,613692,
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98500,0,0,24,182,702,2065,4341,7898,12436,17938,24512,31858,39535,47831,56302,64842,73394,81948,90474,99063,107121,115216,123163,130856,138532,145994,153232,160220,166791,173309,179631,185774,191790,197425,202928,208232,213486,218301,223177,227667,232090,236305,240454,244517,248436,252316,255972,259542,262997,266263,269352,272481,275457,278331,281104,283823,286422,288900,291348,293735,296149,298466,300720,302811,304888,306939,308923,310831,312647,314447,316144,317827,319464,321048,322617,324097,325532,326958,328393,329742,331074,332388,333659,334914,336071,337243,338277,339370,340455,341497,342545,343557,344475,345447,346391,347245,348120,348986,349804,350599,351375,352130,352844,353547,354271,355016,355678,356315,356909,357512,358136,358740,359309,359857,360407,360969,361571,362107,362633,
98510,0,0,6,76,327,1035,2279,4302,7106,10724,15282,20363,25905,31939,38300,44849,51699,58465,65496,72537,79472,86281,93059,99660,106069,112335,118439,124319,130155,135722,141276,146709,151982,157080,161820,166716,171467,175865,180254,184461,188581,192513,196295,199969,203515,207026,210404,213629,216749,219689,222665,225493,228205,230961,233600,236252,238765,241144,243472,245778,247901,250034,252124,254137,256109,258093,259938,261753,263589,265306,266893,268479,270040,271561,273059,274463,275865,277260,278654,279970,281178,282339,283507,284718,285919,286984,288080,289110,290146,291206,292123,293040,293974,294830,295695,296574,297436,298249,299108,299880,300633,301350,302046,302730,303449,304087,304731,305370,305979,306587,307201,307760,308344,308876,309421,309967,310458,310978,311516,
98520,0,0,1,31,150,572,1387,2796,4810,7485,10846,14783,19131,23918,29175,34585,40195,46084,52024,57937,63793,69730,75384,81140,86879,92488,98002,103271,108633,113782,118944,123897,128684,133259,137931,142439,146645,150875,154878,158675,162499,166129,169624,173141,176486,179691,182804,185848,188821,191722,194444,197127,199723,202265,204752,207057,209485,211759,213962,216171,218259,220277,222220,224163,226009,227778,229576,231322,233005,234664,236210,237779,239290,240696,242145,243501,244811,246148,247467,248693,249944,251117,252316,253461,254573,255669,256705,257700,258685,259668,260575,261448,262342,263247,264086,264923,265718,266566,267354,268105,268822,269517,270241,270884,271547,272203,272855,273490,274082,274662,275259,275836,276389,276918,277447,277959,278492,278973,279478,
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98590,0,0,0,0,0,0,1,4,11,25,63,121,229,363,522,779,1054,1429,1858,2390,2954,3579,4259,4958,5693,6482,7313,8164,9078,10025,10943,11970,13001,13969,15073,16114,17209,18267,19351,20400,21462,22587,23642,24708,25801,26805,27806,28851,29892,30856,31807,32753,33737,34658,35529,36439,37358,38226,39107,40001,40867,41729,42618,43452,44226,45044,45851,46541,47255,47984,48719,49435,50127,50784,51455,52075,52745,53376,54014,54622,55248,55853,56409,57030,57582,58127,58669,59178,59663,60143,60670,61171,61657,62154,62578,63034,63462,63905,64327,64744,65140,65548,65922,66337,66716,67082,67451,67834,68189,68547,68881,69216,69562,69856,70180,70490,70784,71107,71420,
98600,0,0,0,0,0,0,0,0,0,5,8,21,41,75,132,198,289,407,558,756,973,1198,1485,1786,2119,2468,2811,3224,3676,4174,4653,5148,5658,6210,6777,7353,7930,8514,9093,9690,10313,10936,11577,12189,12854,13493,14116,14780,15441,16058,16697,17327,17953,18588,19226,19788,20443,21016,21656,22261,22818,23417,23970,24533,25092,25658,26191,26723,27280,27825,28345,28824,29380,29869,30322,30813,31275,31698,32127,32591,33042,33459,33831,34219,34618,35034,35420,35789,36175,36566,36912,37295,37629,37998,38351,38689,39032,39389,39715,40024,40357,40647,40989,41284,41587,41846,42125,42391,42676,42953,43214,43469,43737,43993,44234,44468,44707,44970,45193,
98610,0,22,756,5209,17133,37455,65723,98925,134536,170939,206857,241377,274642,305794,335303,363063,389003,413192,435495,456457,475973,494004,510793,526464,541449,555398,568244,580197,591574,602201,612215,621746,630844,639281,647113,654500,661658,668330,674636,680626,686266,691651,696733,701605,706389,710826,715045,719147,722952,726622,730145,733518,736761,739812,742829,745637,748359,750927,753418,755832,758091,760233,762303,764313,766190,767982,769715,771516,773225,774852,776390,777916,779358,780713,782022,783318,784570,785778,786951,788045,789111,790175,791148,792092,792987,793899,794807,795649,796489,797290,798025,798740,799493,800191,800916,801588,802246,802814,803398,803993,804589,805132,805603,806137,806649,807091,807549,808010,808459,808892,809293,809686,810078,810475,810864,811231,811559,811880,812211,
98620,0,2,124,1274,5459,14128,27647,45364,66415,89267,113524,138064,162166,185519,208305,230506,251348,271110,289925,307626,324365,339901,354593,368706,381743,394086,405775,416897,427216,436962,446420,455395,463722,471626,479130,486200,493024,499409,505573,511401,516758,521915,527028,531628,536178,540419,544624,548667,552456,556011,559561,562878,566030,569159,572094,574921,577635,580158,582629,585051,587410,589649,591792,593762,595744,597637,599471,601148,602840,604377,605920,607441,608886,610237,611586,612926,614230,615433,616618,617758,618876,619923,620998,621976,622908,623887,624840,625737,626568,627393,628220,628951,629685,630392,631075,631726,632402,633035,633656,634258,634840,635390,635936,636450,636955,637454,637978,638417,638847,639281,639697,640095,640473,640854,641240,641595,641960,642285,642628,
98630,0,1,44,554,2571,7533,16026,27971,42860,59400,77751,96847,116150,135525,154511,172735,190642,207901,224364,239954,254776,268738,282178,295056,307108,318502,329376,339454,349285,358560,367252,375685,383688,391077,398206,404868,411308,417523,423466,429040,434230,439195,443983,448691,453199,457545,461504,465290,468940,472419,475761,478996,482078,484981,487829,490593,493233,495741,498116,500413,502680,504910,506986,508937,510820,512687,514543,516344,518008,519630,521143,522644,524123,525516,526820,528133,529366,530560,531791,532859,533937,535021,535990,536980,537974,538881,539745,540626,541451,542247,542981,543728,544498,545219,545951,546629,547266,547879,548522,549121,549699,550229,550712,551215,551731,552241,552713,553190,553640,554075,554521,554926,555330,555733,556085,556478,556808,557141,557494,
98640,0,0,6,205,1097,3488,8249,15612,25153,36691,49629,63903,78731,93799,108837,123952,138498,152687,166267,179726,192364,204573,216239,227519,238355,248413,258139,267406,276241,284498,292319,299929,307189,314196,320825,327192,333253,338923,344392,349723,354771,359567,364151,368392,372539,376527,380387,384087,387656,391023,394298,397362,400381,403232,405977,408633,411165,413622,416013,418192,420387,422444,424496,426487,428280,430101,431770,433488,435075,436622,438121,439592,441047,442340,443668,444974,446191,447376,448528,449614,450646,451658,452711,453731,454663,455588,456460,457333,458122,458958,459740,460524,461260,461996,462680,463348,464019,464637,465251,465873,466408,466971,467479,467992,468477,468930,469395,469874,470330,470772,471173,471613,472018,472395,472756,473106,473432,473805,474156,
98650,0,0,3,60,378,1361,3613,7445,12874,20003,28381,37963,48237,59104,70009,81295,92560,103919,114863,125491,136031,146172,156069,165379,174455,183266,191619,199714,207409,214825,221781,228466,235098,241185,247127,252614,258028,263076,268098,272954,277357,281687,285790,289829,293632,297399,301095,304511,307713,310851,313817,316678,319461,322154,324769,327222,329666,331897,334011,336138,338288,340305,342246,344068,345832,347595,349280,350878,352401,353902,355319,356739,358069,359325,360583,361794,362956,364050,365169,366241,367291,368299,369345,370242,371185,372102,372980,373803,374602,375410,376124,376925,377595,378300,378990,379595,380231,380891,381475,382026,382556,383134,383661,384143,384658,385092,385576,385994,386435,386887,387297,387714,388103,388523,388923,389289,389627,389973,390331,
98660,0,0,0,24,204,822,2152,4739,8669,13771,20211,27535,35620,44267,53358,62858,72477,81967,91482,100841,110185,119191,127993,136519,144604,152529,160038,167344,174383,181091,187527,193751,199813,205695,211245,216567,221627,226517,231180,235566,239900,244007,248030,251881,255562,259102,262555,265858,268983,271961,274876,277629,280285,282850,285331,287798,290131,292338,294468,296610,298521,300408,302270,304145,305810,307529,309175,310658,312123,313532,314888,316278,317580,318859,320111,321252,322403,323507,324620,325611,326675,327696,328669,329542,330464,331296,332127,332927,333732,334514,335218,335968,336650,337360,337987,338622,339304,339897,340466,341026,341567,342129,342658,343168,343661,344141,344620,345055,345476,345875,346296,346692,347088,347458,347820,348171,348507,348822,349121,
98670,0,0,1,9,92,440,1311,3041,5685,9303,14093,19615,25943,32871,40432,48190,56111,64144,72209,80299,88334,96154,103606,110844,117950,125096,131935,138563,144852,150874,156765,162471,168011,173254,178318,183181,187750,192215,196439,200597,204552,208310,212038,215634,219025,222381,225566,228703,231682,234500,237334,239890,242430,244885,247288,249621,251780,253865,255859,257839,259752,261592,263353,265022,266728,268354,269931,271502,272962,274383,275746,276995,278307,279504,280684,281847,282915,283956,284952,285912,286909,287837,288800,289690,290553,291383,292218,293020,293746,294482,295193,295891,296552,297200,297831,298412,299030,299600,300142,300695,301225,301731,302226,302737,303214,303672,304116,304582,304984,305422,305801,306200,306582,306932,307279,307622,307964,308310,308640,
98680,0,0,0,3,44,219,654,1568,3262,5765,8892,12810,17447,22654,28227,34191,40640,47047,53669,60303,66894,73279,79735,86012,92286,98420,104353,110043,115711,121256,126488,131545,136492,141215,145725,150138,154362,158449,162458,166286,169963,173627,177080,180376,183485,186595,189470,192256,194981,197524,200100,202550,204915,207298,209466,211587,213650,215568,217429,219249,221004,222729,224367,225955,227488,229005,230460,231896,233228,234570,235853,237084,238270,239473,240599,241762,242765,243786,244722,245701,246669,247621,248499,249342,250175,250923,251685,252405,253155,253874,254599,255265,255915,256556,257170,257772,258370,258938,259464,259989,260528,260985,261458,261921,262385,262829,263266,263696,264100,264473,264840,265177,265525,265874,266214,266539,266847,267132,267431,
98690,0,0,0,1,19,90,276,835,1802,3240,5288,7907,11053,14782,18830,23318,28059,33038,38153,43363,48628,53986,59162,64332,69520,74571,79607,84612,89308,93915,98361,102707,106951,111056,115158,119065,122640,126276,129758,133189,136537,139600,142649,145582,148474,151294,154044,156599,159069,161386,163679,165959,168172,170212,172256,174226,176116,177967,179691,181396,183059,184635,186171,187646,189063,190486,191908,193221,194568,195847,197052,198238,199364,200494,201541,202631,203622,204524,205452,206340,207179,208012,208861,209677,210436,211144,211916,212614,213351,214032,214668,215335,215951,216553,217152,217750,218309,218894,219383,219866,220382,220842,221304,221757,222220,222656,223045,223438,223842,224226,224621,224939,225300,225627,225949,226243,226577,226886,227167,
98700,0,0,0,0,7,32,162,468,1101,2116,3631,5491,7851,10623,13776,17375,21129,25314,29596,33899,38498,43092,47750,52392,57032,61496,65852,70227,74542,78701,82875,86783,90645,94374,97999,101599,105018,108286,111467,114571,117619,120495,123420,126185,128860,131457,134009,136430,138801,141039,143236,145360,147384,149359,151267,153152,154883,156590,158248,159836,161418,162883,164318,165782,167175,168490,169773,171017,172226,173370,174459,175505,176585,177635,178674,179682,180627,181524,182384,183279,184147,184967,185719,186471,187229,187988,188682,189416,190069,190744,191366,191983,192541,193135,193700,194245,194836,195372,195845,196336,196780,197228,197660,198093,198501,198931,199320,199743,200138,200494,200842,201192,201501,201802,202119,202460,202742,203062,203372,
98710,0,0,0,0,3,16,100,275,674,1368,2383,3751,5525,7636,10176,13018,16097,19324,22765,26271,30057,33894,37737,41568,45383,49345,53154,56847,60458,64183,67839,71359,74740,78181,81435,84584,87683,90682,93588,96475,99296,101966,104513,107006,109401,111766,114013,116141,118292,120334,122424,124371,126291,128153,129919,131571,133172,134797,136378,137880,139302,140752,142167,143477,144786,146072,147284,148467,149567,150655,151697,152772,153750,154712,155641,156570,157486,158341,159190,160038,160820,161602,162334,163081,163796,164504,165184,165897,166550,167183,167820,168369,168918,169450,170011,170544,171109,171613,172124,172574,173042,173481,173888,174312,174726,175150,175550,175893,176229,176596,176947,177271,177611,177932,178226,178535,178806,179131,179422,
98720,0,0,0,0,1,9,45,130,375,802,1486,2340,3539,5136,7036,9153,11515,14007,16723,19517,22629,25705,28900,32069,35171,38439,41613,44866,48131,51238,54312,57268,60273,63226,66104,68815,71537,74155,76675,79215,81655,83993,86365,88500,90760,92864,95008,97015,98883,100780,102603,104392,106057,107734,109291,110888,112488,114002,115471,116917,118281,119563,120834,122120,123294,124414,125507,126610,127692,128692,129714,130669,131574,132521,133430,134316,135170,135954,136689,137502,138252,138969,139634,140379,141040,141702,142349,142939,143569,144166,144722,145293,145819,146335,146884,147358,147852,148312,148770,149240,149656,150065,150469,150886,151279,151633,151980,152313,152642,152992,153336,153650,153944,154250,154543,154835,155128,155400,155667,
98730,0,0,0,0,1,3,20,67,183,403,766,1342,2157,3175,4404,5892,7525,9419,11441,13580,15864,18217,20711,23338,25877,28455,31067,33582,36216,38778,41355,43891,46485,49001,51476,53854,56193,58508,60798,62972,65108,67207,69204,71172,73126,74971,76739,78556,80358,82159,83758,85411,86989,88463,89922,91321,92761,94037,95377,96707,97928,99139,100263,101415,102538,103597,104641,105617,106552,107498,108453,109301,110100,111007,111831,112641,113403,114132,114906,115624,116325,117035,117662,118309,118917,119519,120101,120651,121273,121800,122349,122878,123361,123859,124326,124774,125242,125684,126130,126546,126966,127344,127729,128087,128446,128794,129118,129444,129749,130061,130353,130648,130987,131287,131555,131816,132105,132376,132621,
98740,0,0,0,0,0,2,9,32,84,189,376,687,1166,1789,2606,3505,4676,5896,7291,8818,10453,12225,14107,15987,17940,19912,21882,23938,26012,28123,30205,32266,34321,36334,38321,40367,42318,44209,46092,47899,49654,51430,53054,54706,56345,57985,59536,61066,62546,64030,65475,66911,68230,69470,70673,71922,73072,74235,75373,76449,77509,78530,79533,80560,81561,82468,83386,84279,85135,85980,86764,87556,88331,89113,89834,90539,91197,91879,92548,93211,93834,94459,95027,95595,96156,96698,97231,97712,98212,98660,99128,99599,100051,100519,100934,101347,101772,102199,102567,102956,103333,103707,104036,104375,104730,105047,105385,105722,106037,106337,106626,106916,107181,107420,107705,107930,108192,108433,108683,
98750,0,0,0,0,0,0,3,9,28,85,176,377,629,967,1448,2060,2753,3571,4535,5601,6708,7964,9319,10761,12215,13669,15180,16760,18379,19991,21648,23274,24888,26457,28040,29600,31130,32653,34182,35695,37229,38714,40199,41559,42960,44303,45663,46936,48227,49446,50643,51787,52941,54041,55074,56223,57261,58332,59283,60275,61257,62180,63123,63982,64832,65663,66541,67326,68107,68820,69541,70219,70963,71677,72334,72965,73604,74238,74811,75374,75937,76471,76992,77512,78017,78559,79020,79501,79940,80325,80761,81192,81594,81973,82354,82736,83140,83489,83830,84176,84505,84849,85206,85516,85833,86139,86434,86722,87033,87302,87550,87800,88049,88276,88523,88752,88980,89220,89435,
98760,0,0,0,0,0,0,0,0,4,17,56,128,251,441,722,1071,1476,1992,2595,3246,3986,4798,5712,6674,7711,8765,9804,10911,12059,13203,14390,15598,16745,18018,19233,20463,21713,22844,24049,25241,26452,27630,28758,29917,31046,32155,33266,34337,35458,36473,37517,38473,39445,40455,41342,42247,43135,44040,44935,45789,46604,47380,48200,48947,49714,50459,51184,51855,52542,53186,53836,54462,55066,55674,56247,56773,57318,57872,58364,58877,59329,59814,60312,60788,61253,61679,62103,62537,62955,63333,63734,64124,64470,64832,65201,65532,65867,66205,66518,66796,67080,67373,67657,67918,68198,68486,68734,68948,69186,69391,69602,69839,70056,70262,70473,70680,70869,71071,71244,
98770,0,0,0,0,0,0,0,0,1,7,19,47,95,172,275,422,632,883,1180,1544,1910,2359,2874,3432,4023,4614,5253,5959,6674,7421,8232,9064,9885,10674,11490,12388,13250,14111,14956,15808,16607,17436,18248,19071,19893,20648,21490,22253,23023,23844,24599,25347,26119,26852,27561,28247,28923,29590,30260,30901,31531,32160,32767,33350,33914,34472,34993,35544,36086,36628,37103,37627,38105,38594,39057,39481,39930,40355,40769,41181,41591,42009,42382,42777,43117,43461,43814,44147,44497,44848,45172,45437,45761,46066,46358,46631,46883,47184,47421,47684,47932,48175,48362,48601,48821,49041,49253,49446,49669,49866,50077,50267,50449,50634,50813,50984,51140,51298,51471,
98780,0,0,0,0,0,0,0,0,0,0,2,9,13,30,56,106,170,244,346,489,632,805,1020,1275,1541,1839,2142,2470,2816,3224,3606,4066,4511,4948,5449,5920,6411,6953,7399,7881,8386,8890,9421,9940,10437,10933,11457,12018,12531,13042,13528,13978,14495,14995,15505,15927,16418,16863,17352,17784,18206,18629,19054,19444,19857,20273,20680,21065,21463,21851,22218,22562,22944,23260,23595,23923,24238,24560,24851,25180,25472,25753,26062,26366,26643,26918,27181,27438,27695,27950,28194,28409,28623,28846,29077,29287,29488,29684,29866,30035,30231,30412,30575,30728,30912,31078,31245,31425,31580,31716,31858,32027,32195,32320,32472,32608,32745,32878,33014,
98790,1,226,3142,13275,33107,61432,95801,133214,171464,209012,245370,279711,312452,342976,371809,397900,422584,445432,466612,486374,504658,521568,537322,552059,565926,578990,590968,602307,612920,622913,632219,641131,649337,657070,664605,671643,678432,684657,690627,696240,701635,706828,711432,715947,720411,724605,728598,732390,736005,739498,742884,746053,749182,752056,754778,757455,760008,762424,764835,767070,769201,771252,773196,775082,776920,778655,780373,781943,783552,785155,786616,787981,789318,790641,791883,793114,794243,795439,796590,797664,798707,799744,800728,801661,802568,803381,804270,805086,805906,806696,807454,808188,808827,809474,810105,810750,811333,811906,812465,813045,813566,814091,814583,815097,815567,816070,816508,816950,817336,817733,818137,818542,818921,819252,819616,819941,820280,820619,820943,
98800,0,33,677,4082,12165,25744,44368,66684,91358,116782,142472,168135,192887,216673,239370,261078,281643,300871,318969,336015,352115,367257,381696,394881,407424,419092,430393,440985,450931,460296,469211,477529,485495,492834,500047,506822,513326,519254,524984,530485,535696,540749,545603,550168,554506,558610,562497,566100,569705,573207,576386,579585,582579,585485,588300,591043,593642,596077,598485,600776,602928,605013,607012,608906,610765,612554,614225,615876,617562,619027,620604,622098,623478,624829,626138,627420,628632,629805,630889,631982,633064,634071,635009,635994,636937,637779,638666,639480,640278,641144,641925,642695,643404,644103,644744,645384,646000,646605,647168,647701,648249,648732,649258,649750,650234,650724,651209,651638,652071,652495,652912,653276,653653,654014,654399,654783,655170,655511,655828,
98810,0,8,268,1816,6268,14908,27182,42908,60935,80464,100845,121482,141734,161589,181139,199687,217413,234329,250705,265800,280219,294090,307189,319374,330968,342022,352559,362490,371805,380612,389045,396913,404375,411542,418304,424845,430989,436898,442534,447890,452970,457772,462414,466868,471093,475190,478991,482672,486200,489490,492744,495955,498853,501638,504334,506915,509452,511946,514226,516455,518671,520861,522818,524772,526646,528399,530166,531832,533504,535124,536592,538040,539402,540785,542079,543337,544519,545682,546787,547898,549006,549979,550972,551914,552881,553793,554665,555506,556305,557077,557877,558658,559392,560047,560715,561354,561962,562553,563166,563706,564278,564804,565285,565785,566257,566718,567207,567622,568070,568490,568891,569267,569685,570060,570426,570800,571150,571492,571803,
98820,0,2,96,824,3008,7671,15129,25371,37695,51652,66812,82561,98788,114970,130625,146096,161170,175537,189182,202573,215185,227253,238805,249904,260319,270385,280007,289043,297599,305516,313239,320648,327627,334235,340716,346700,352433,358075,363330,368274,372963,377471,381789,385974,389929,393956,397754,401227,404568,407774,410814,413774,416687,419435,422095,424679,427166,429458,431783,433914,436084,438096,440061,441967,443772,445542,447230,448823,450396,451884,453273,454618,455984,457348,458615,459848,461000,462128,463216,464257,465346,466306,467244,468185,469091,469974,470802,471674,472490,473298,474024,474739,475394,476081,476747,477374,478028,478661,479254,479781,480306,480895,481420,481876,482355,482813,483259,483729,484176,484611,485006,485401,485780,486166,486519,486880,487233,487589,487896,
98830,0,2,22,243,1159,3322,7226,12931,20536,29557,39813,50792,62521,74255,86075,98164,110019,121485,132646,143549,154145,164328,174051,183609,192628,201355,209605,217584,225071,232300,239142,245613,251980,258058,263797,269459,274693,279864,284729,289294,293801,297968,302109,305955,309728,313368,316893,320053,323272,326265,329236,332125,334763,337418,339894,342343,344724,346951,349027,351091,353059,354996,356827,358606,360311,361925,363494,365082,366598,368066,369437,370783,372132,373376,374622,375808,376947,378091,379122,380177,381128,382172,383124,384011,384851,385676,386510,387328,388141,388908,389642,390357,391010,391713,392364,392989,393608,394240,394793,395361,395910,396442,396937,397439,397936,398411,398847,399304,399765,400170,400566,400969,401330,401720,402083,402459,402764,403077,403432,
98840,0,0,12,121,610,2010,4733,8837,14492,21418,29571,38455,47866,57817,67869,78120,88605,98723,108637,118433,127853,136859,145512,154158,162299,170230,177903,185182,192054,198781,205065,211224,217186,222862,228263,233411,238480,243285,247947,252416,256636,260701,264575,268191,271779,275260,278440,281716,284690,287681,290480,293202,295773,298285,300673,303026,305261,307413,309515,311536,313419,315283,317036,318775,320485,322127,323677,325152,326568,327955,329315,330663,331911,333166,334369,335557,336675,337710,338726,339736,340746,341715,342643,343558,344437,345277,346103,346879,347640,348382,349077,349738,350404,351089,351708,352304,352894,353491,354088,354670,355228,355754,356266,356733,357198,357660,358103,358520,358922,359314,359731,360092,360510,360888,361268,361634,362002,362294,362589,
98850,0,0,3,50,318,1141,2878,5595,9574,14605,20687,27708,35378,43325,51520,60096,68661,77368,85801,94278,102439,110580,118311,125729,133005,139922,146916,153700,160027,166100,171972,177501,182820,188078,193030,197822,202412,206891,211120,215373,219315,223074,226636,230151,233496,236800,239980,242971,245779,248504,251196,253688,256170,258554,260761,262890,265009,267081,269092,271044,272841,274658,276346,277940,279559,281162,282713,284157,285520,286905,288140,289404,290711,291888,293043,294171,295243,296292,297248,298177,299129,300009,300926,301795,302653,303439,304242,305050,305822,306548,307226,307911,308555,309175,309791,310372,310980,311528,312073,312626,313170,313665,314180,314666,315098,315567,316010,316443,316861,317258,317661,318051,318422,318801,319130,319467,319801,320116,320415,
98860,0,0,1,28,160,574,1514,3231,5890,9378,13725,18812,24593,30727,37221,43926,50901,57904,65091,71998,78950,85592,92245,98775,105266,111271,117357,123263,128965,134369,139770,144776,149583,154283,158868,163318,167561,171704,175571,179272,182883,186372,189714,192979,196104,199093,201874,204765,207445,210113,212627,215008,217371,219593,221744,223900,225881,227786,229621,231403,233139,234815,236430,238070,239612,241145,242500,243892,245247,246588,247828,249064,250175,251303,252447,253474,254496,255506,256526,257430,258353,259248,260149,260948,261783,262593,263363,264094,264769,265452,266119,266749,267346,267928,268526,269102,269642,270203,270753,271240,271725,272210,272695,273111,273574,274025,274515,274930,275366,275768,276148,276507,276887,277234,277587,277970,278274,278606,278910,
98870,0,0,0,7,49,235,710,1710,3278,5551,8429,11944,15990,20504,25483,30629,35910,41343,46881,52486,58181,63828,69439,74909,80317,85428,90488,95485,100255,104913,109562,114018,118397,122623,126592,130380,134088,137728,141156,144476,147714,150821,153833,156791,159663,162431,165134,167606,170086,172496,174731,176969,179048,181039,183105,185055,186996,188798,190531,192174,193853,195480,196986,198444,199949,201359,202699,203975,205281,206522,207705,208812,209935,210987,211985,213045,213990,214912,215855,216710,217529,218385,219175,219973,220715,221446,222187,222920,223601,224215,224859,225549,226162,226746,227325,227860,228378,228924,229423,229949,230460,230913,231369,231806,232215,232636,233058,233445,233845,234219,234591,234945,235273,235647,235996,236343,236664,236989,237282,
98880,0,0,0,4,28,135,441,1072,2226,3861,5997,8695,11835,15450,19394,23654,28083,32690,37479,42354,47190,52006,56816,61725,66457,71055,75639,80172,84533,88760,92756,96744,100663,104491,108108,111677,115178,118515,121735,124803,127851,130772,133597,136292,138979,141540,144037,146403,148724,150921,153116,155232,157250,159179,161091,162849,164620,166319,168049,169610,171162,172686,174131,175536,176919,178251,179423,180633,181822,183001,184163,185251,186312,187315,188248,189207,190161,191036,191934,192811,193644,194448,195187,195932,196698,197390,198127,198772,199459,200109,200688,201285,201802,202372,202891,203445,203964,204465,205006,205459,205914,206350,206813,207212,207612,208019,208420,208822,209178,209551,209913,210293,210618,210950,211253,211550,211846,212167,212444,
98890,0,0,0,1,14,75,253,645,1360,2478,4006,5989,8388,11072,14104,17525,21200,24848,28768,32831,36931,41045,45241,49435,53512,57522,61511,65421,69265,72986,76679,80287,83846,87387,90736,93993,97105,100189,103140,106091,108866,111603,114204,116693,119079,121463,123768,125910,127993,130064,132025,133922,135807,137659,139409,141135,142759,144345,145929,147379,148798,150210,151520,152828,154131,155415,156642,157820,158993,160052,161098,162123,163096,164102,164986,165851,166742,167614,168449,169204,170024,170841,171614,172299,172982,173662,174346,175001,175620,176240,176818,177382,177947,178507,179004,179513,180010,180521,180962,181430,181910,182342,182770,183183,183582,183974,184367,184717,185053,185398,185717,186052,186396,186705,187006,187315,187590,187901,188177,
98900,0,0,0,0,7,35,121,342,738,1496,2546,3871,5565,7630,10008,12517,15297,18294,21375,24645,27992,31314,34726,38171,41702,45204,48551,51975,55261,58523,61652,64826,67867,70793,73696,76516,79287,81948,84673,87284,89728,92102,94377,96678,98921,101007,103070,105030,107023,108926,110731,112511,114305,115962,117565,119102,120600,122131,123499,124822,126134,127410,128675,129870,131082,132260,133356,134425,135417,136414,137368,138333,139291,140219,141118,141955,142772,143555,144375,145130,145849,146545,147276,147968,148651,149288,149922,150574,151131,151706,152317,152848,153399,153963,154433,154911,155424,155914,156360,156779,157215,157636,158013,158407,158812,159161,159521,159872,160196,160565,160880,161187,161529,161840,162130,162404,162677,162945,163209,
98910,0,0,0,0,4,20,79,186,422,887,1517,2358,3455,4822,6416,8196,10281,12473,14938,17455,20019,22748,25407,28111,30847,33594,36395,39170,42030,44728,47444,50119,52738,55309,57803,60231,62628,64983,67283,69538,71722,73873,76013,78070,80003,81837,83709,85529,87324,88983,90613,92238,93776,95246,96751,98118,99458,100774,102085,103350,104584,105759,106976,108097,109168,110203,111268,112206,113150,114086,114972,115831,116744,117577,118345,119130,119969,120684,121430,122098,122808,123459,124095,124755,125420,126042,126640,127213,127820,128327,128895,129408,129925,130416,130860,131310,131741,132173,132572,132947,133368,133723,134086,134446,134774,135101,135452,135764,136101,136411,136721,136980,137254,137545,137826,138074,138327,138566,138805,
98920,0,0,0,0,1,4,24,73,189,397,792,1298,1912,2793,3878,5151,6590,8096,9802,11489,13365,15277,17335,19391,21594,23694,25890,28014,30116,32278,34458,36709,38791,40893,42952,45003,47028,49105,51057,52966,54840,56629,58357,60108,61765,63401,64978,66544,68030,69511,70953,72400,73708,75039,76306,77601,78834,80017,81202,82290,83414,84444,85499,86514,87540,88488,89365,90219,91041,91842,92686,93527,94298,95029,95772,96503,97204,97878,98500,99116,99726,100319,100926,101527,102107,102618,103149,103643,104163,104670,105144,105613,106077,106521,106937,107377,107784,108168,108599,108953,109313,109649,110018,110371,110676,111012,111284,111615,111927,112236,112521,112806,113075,113320,113576,113805,114057,114286,114509,
98930,0,0,0,0,0,2,7,24,70,178,370,674,1078,1621,2337,3137,4094,5155,6298,7562,8961,10369,11860,13415,15049,16760,18475,20164,21976,23746,25550,27283,28984,30679,32424,34087,35700,37371,38922,40562,42148,43676,45127,46595,47998,49392,50756,52055,53305,54553,55784,56948,58138,59219,60321,61436,62493,63529,64519,65509,66407,67395,68324,69174,70048,70869,71672,72516,73296,74074,74841,75583,76273,76968,77640,78258,78885,79497,80081,80630,81180,81753,82306,82819,83324,83798,84301,84778,85247,85706,86112,86520,86950,87347,87739,88137,88511,88891,89220,89567,89906,90253,90587,90863,91163,91432,91709,91987,92248,92525,92800,93049,93316,93549,93789,94013,94216,94438,94629,
98940,0,0,0,0,0,1,3,11,26,67,152,272,471,736,1118,1580,2118,2763,3500,4391,5241,6202,7238,8290,9443,10635,11898,13145,14475,15747,16992,18302,19580,20891,22151,23498,24779,25990,27258,28482,29768,30928,32139,33281,34418,35552,36645,37737,38761,39809,40774,41789,42762,43717,44598,45488,46316,47159,47995,48824,49634,50458,51227,51970,52685,53425,54109,54760,55384,56022,56653,57234,57824,58407,58994,59547,60099,60641,61159,61701,62201,62715,63244,63698,64157,64601,65001,65456,65878,66261,66677,67064,67447,67809,68161,68516,68861,69196,69525,69807,70090,70401,70665,70943,71231,71469,71735,71946,72180,72436,72642,72845,73068,73295,73498,73703,73908,74113,74313,
98950,0,0,0,0,0,0,1,4,8,25,46,93,173,283,452,696,969,1283,1675,2124,2612,3189,3785,4396,5096,5832,6572,7360,8229,9083,10015,10910,11801,12681,13621,14548,15408,16283,17183,18063,19016,19895,20790,21715,22547,23467,24306,25145,25978,26799,27578,28405,29179,29900,30649,31355,32081,32770,33433,34047,34677,35294,35879,36528,37111,37744,38300,38856,39364,39914,40422,40926,41400,41872,42341,42763,43223,43648,44064,44468,44866,45292,45663,46039,46369,46753,47145,47494,47819,48160,48494,48797,49106,49407,49690,49960,50252,50540,50807,51077,51317,51577,51811,52042,52274,52521,52710,52936,53153,53350,53555,53746,53900,54069,54254,54417,54586,54759,54911,
98960,0,0,0,0,0,0,0,0,2,6,12,18,34,66,116,177,253,372,497,664,878,1127,1377,1664,1950,2310,2672,3070,3484,3947,4414,4933,5422,5936,6421,6937,7477,8014,8579,9138,9704,10224,10759,11304,11849,12410,12967,13523,14075,14608,15130,15651,16162,16657,17147,17717,18198,18686,19158,19668,20105,20560,20981,21379,21818,22250,22633,23034,23409,23797,24170,24562,24938,25273,25622,25957,26295,26626,26954,27268,27585,27890,28159,28413,28681,28929,29181,29426,29682,29947,30202,30411,30667,30894,31114,31355,31564,31779,31971,32170,32364,32516,32705,32893,33062,33238,33400,33567,33755,33907,34045,34199,34342,34494,34621,34739,34884,34997,35121,
98970,10,892,7325,23912,51138,85733,124478,164417,204169,242684,278977,313321,345369,375080,402512,428053,451597,473464,493548,512227,529813,546282,561332,575345,588613,600867,612477,623201,633223,642743,651625,660101,667976,675426,682548,689270,695529,701500,707060,712383,717409,722238,726788,731179,735425,739463,743180,746779,750297,753674,756809,759848,762739,765463,768069,770605,773162,775499,777799,779968,782043,783997,785825,787618,789366,791004,792608,794251,795842,797278,798625,800008,801353,802609,803838,804999,806124,807193,808243,809246,810257,811252,812205,813059,813947,814729,815495,816291,817060,817845,818575,819233,819903,820523,821139,821723,822279,822852,823400,823909,824427,824964,825430,825925,826365,826785,827181,827601,828064,828485,828836,829190,829542,829894,830282,830639,830946,831263,831544,
98980,0,171,1924,8158,20515,38722,61637,87257,113781,141201,168373,194449,219330,243493,266426,287664,307938,326801,344399,360842,376160,390530,404307,417106,429062,440452,451289,461394,470851,479794,488268,496262,503912,511113,517874,524304,530398,536261,541915,547185,552336,557134,561547,565843,569977,573947,577772,581357,584801,588149,591302,594222,597224,599928,602606,605102,607599,609916,612215,614354,616482,618482,620427,622228,624026,625786,627460,629022,630620,632091,633550,634966,636266,637532,638774,640032,641191,642280,643350,644362,645403,646346,647250,648142,649050,649830,650654,651450,652246,652991,653741,654462,655149,655809,656488,657114,657755,658308,658869,659433,660021,660581,661077,661556,662026,662443,662888,663318,663719,664149,664543,664930,665341,665705,666065,666405,666716,667051,667362,
98990,1,53,856,4220,11595,23504,39447,58426,78964,100348,122307,144159,165287,185633,205211,223795,241647,258419,274304,289372,303298,316802,329490,341469,352788,363380,373497,382994,392016,400527,408791,416580,423915,430824,437303,443560,449547,455129,460585,465673,470539,475266,479727,484001,488094,491972,495596,499092,502460,505688,508710,511692,514535,517280,519914,522397,524827,527121,529277,531392,533535,535576,537533,539404,541147,542882,544521,546103,547617,549126,550531,551961,553267,554568,555825,557082,558274,559370,560403,561392,562442,563413,564327,565221,566069,566944,567705,568479,569233,570003,570732,571399,572073,572740,573374,574004,574626,575249,575868,576405,576971,577540,578012,578486,578967,579464,579916,580362,580767,581175,581566,581943,582298,582655,582977,583329,583699,584031,584369,
99000,0,16,290,1766,5598,12610,22738,35646,50487,66347,83128,100129,117215,134118,150415,165974,181063,195633,209481,222683,235314,247265,258831,269615,279740,289356,298722,307557,315872,323734,331242,338398,345246,351759,357904,363833,369346,374662,379809,384695,389300,393819,397987,402074,406064,409705,413257,416649,419918,422917,425859,428715,431545,434135,436659,439185,441566,443836,446051,448153,450126,452042,453878,455693,457430,459227,460856,462411,463912,465394,466783,468117,469371,470650,471896,473125,474198,475291,476391,477418,478477,479459,480361,481330,482205,483071,483891,484673,485424,486148,486850,487567,488264,488941,489564,490183,490790,491378,491935,492502,493040,493569,494116,494619,495043,495510,495947,496373,496779,497191,497662,498054,498430,498799,499179,499535,499856,500181,500500,
99010,0,2,78,593,2297,5853,11456,19270,28763,39623,51404,63812,76431,89153,101728,114387,126681,138675,150217,161404,172228,182523,192287,201672,210998,219535,227750,235598,243060,250188,257038,263471,269633,275469,281123,286447,291600,296519,301344,305740,310043,314236,318221,322013,325505,328925,332241,335462,338596,341541,344333,347143,349738,352204,354622,357009,359252,361464,363549,365622,367568,369475,371326,373140,374847,376500,378089,379594,381024,382472,383872,385190,386461,387736,388898,390015,391101,392212,393272,394274,395233,396217,397105,397946,398839,399668,400460,401256,402013,402755,403498,404199,404884,405589,406236,406881,407459,408045,408587,409128,409616,410134,410640,411127,411618,412096,412538,412973,413382,413790,414173,414556,414917,415268,415637,415984,416317,416649,416970,
99020,0,2,47,372,1459,3821,7930,13545,20674,29129,38672,48860,59429,70172,81002,91911,102519,113002,123430,133341,142862,152120,161006,169556,177855,185755,193366,200630,207634,214340,220745,226875,232725,238277,243533,248616,253408,258146,262598,266929,270988,274881,278645,282365,285855,289173,292420,295581,298594,301471,304243,306848,309329,311834,314158,316411,318643,320770,322790,324750,326583,328283,330021,331677,333211,334781,336288,337689,339109,340528,341879,343165,344388,345590,346758,347869,348985,349953,350944,351925,352879,353763,354660,355510,356368,357220,358061,358830,359557,360267,360953,361642,362266,362895,363521,364146,364689,365266,365824,366369,366866,367340,367793,368246,368664,369127,369579,369986,370385,370778,371193,371579,371945,372314,372668,372961,373261,373578,373903,
99030,0,2,10,138,762,2208,4816,8750,14078,20375,27651,35632,44162,53144,62138,71174,80177,89319,98228,106803,115264,123396,131302,138968,146329,153409,160453,166988,173360,179485,185365,190940,196248,201332,206306,210919,215504,219866,224115,228053,231875,235655,239241,242727,246032,249179,252185,255104,257941,260695,263329,265756,268084,270471,272699,274818,276982,278994,280955,282805,284648,286399,288045,289717,291218,292724,294197,295679,297089,298371,299728,300952,302189,303344,304453,305512,306575,307642,308612,309544,310522,311425,312277,313128,313954,314748,315512,316293,317058,317751,318420,319055,319717,320352,320944,321527,322066,322627,323173,323715,324217,324698,325167,325633,326075,326510,326917,327328,327717,328139,328489,328875,329286,329626,329963,330319,330636,330938,331233,
99040,0,0,4,51,356,1160,2732,5345,8890,13429,18814,24961,31609,38641,45929,53250,60752,68264,75605,82942,90117,97192,104028,110975,117444,123889,129849,135742,141425,146937,152249,157287,162245,166867,171450,175846,179900,183932,187702,191363,194987,198404,201699,204779,207891,210879,213779,216585,219238,221832,224307,226636,228961,231152,233353,235433,237365,239262,241108,242842,244592,246237,247864,249496,250980,252428,253744,255068,256444,257725,258960,260157,261283,262380,263416,264462,265479,266424,267348,268315,269264,270183,271024,271849,272620,273365,274126,274858,275568,276234,276913,277553,278141,278794,279350,279933,280461,280995,281511,282047,282544,283001,283473,283878,284301,284708,285099,285515,285877,286275,286668,286993,287360,287701,288042,288374,288717,289038,289334,
99050,0,0,3,31,167,588,1422,2914,5151,8160,11834,16150,20808,25930,31366,37189,42994,49014,55031,61055,66953,72778,78540,84191,89731,95233,100511,105572,110479,115216,119840,124317,128641,132802,136863,140729,144412,148118,151588,155001,158219,161363,164412,167416,170269,172990,175643,178221,180620,182883,185199,187362,189497,191510,193463,195448,197281,199135,200820,202456,204070,205608,207133,208568,209967,211347,212640,213916,215160,216371,217474,218551,219664,220717,221710,222689,223568,224524,225430,226312,227146,227972,228751,229547,230317,231072,231783,232457,233110,233774,234369,234986,235547,236148,236690,237230,237766,238264,238793,239273,239736,240150,240599,241044,241435,241865,242257,242653,243030,243372,243739,244070,244409,244734,245067,245363,245670,245929,246199,
99060,0,0,3,16,87,340,902,1927,3554,5732,8604,11949,15777,19981,24469,29187,34181,39199,44419,49645,54786,59916,65062,69881,74752,79556,84376,89006,93385,97671,101819,105933,109940,113817,117617,121242,124680,128106,131327,134468,137434,140344,143198,145876,148549,151104,153495,155885,158204,160410,162503,164547,166566,168494,170333,172128,173831,175574,177187,178740,180279,181787,183237,184599,185955,187243,188523,189697,190857,192017,193105,194159,195193,196191,197157,198124,199033,199935,200762,201652,202426,203204,203965,204680,205417,206121,206858,207502,208093,208683,209251,209883,210430,210969,211466,211957,212451,212946,213433,213921,214326,214758,215236,215684,216091,216461,216843,217239,217606,217969,218306,218633,218942,219259,219579,219882,220189,220491,220759,
99070,0,0,1,6,40,155,456,1098,2184,3721,5798,8291,11298,14545,18286,22080,26065,30326,34659,39004,43431,47949,52325,56734,60979,65244,69312,73459,77360,81151,84795,88416,91952,95449,98848,102146,105251,108231,111238,114123,116789,119502,121987,124477,126966,129346,131562,133737,135875,137992,139969,141975,143845,145581,147369,149093,150774,152298,153843,155344,156774,158102,159428,160719,162000,163179,164356,165469,166611,167737,168823,169896,170887,171828,172775,173686,174539,175410,176248,177008,177756,178500,179218,179905,180634,181299,181933,182579,183222,183789,184379,184926,185421,185953,186462,187006,187500,187985,188452,188906,189345,189775,190236,190639,191013,191385,191775,192181,192542,192882,193249,193587,193914,194212,194520,194844,195144,195395,195668,
99080,0,0,0,4,17,89,267,670,1326,2321,3720,5539,7696,10120,12898,15845,18919,22246,25725,29373,32917,36661,40283,43845,47608,51278,54854,58260,61684,65081,68373,71484,74708,77796,80719,83638,86435,89304,91971,94517,97072,99459,101936,104217,106463,108619,110753,112765,114819,116776,118661,120465,122221,123914,125503,127072,128596,130068,131455,132901,134253,135550,136816,138038,139248,140420,141526,142586,143577,144556,145566,146483,147462,148363,149278,150146,150997,151790,152526,153255,154044,154753,155440,156132,156759,157394,158019,158620,159224,159778,160323,160792,161339,161862,162344,162873,163350,163813,164269,164700,165121,165537,165940,166338,166702,167042,167416,167736,168054,168385,168713,169027,169347,169663,169966,170203,170475,170734,170978,
99090,0,0,0,1,5,44,149,370,760,1381,2274,3464,5000,6744,8665,10821,13182,15731,18407,21157,23996,26950,29839,32830,35806,38751,41728,44726,47599,50391,53169,55894,58491,61123,63711,66262,68758,71068,73440,75761,78006,80243,82302,84325,86384,88318,90221,92025,93711,95455,97157,98739,100320,101866,103342,104735,106133,107468,108712,109978,111251,112429,113627,114789,115849,116829,117850,118823,119786,120721,121644,122545,123429,124292,125123,125867,126607,127330,128084,128800,129460,130074,130684,131294,131948,132539,133119,133674,134274,134795,135317,135804,136310,136800,137290,137723,138142,138553,138970,139379,139765,140121,140504,140860,141206,141534,141869,142211,142514,142863,143159,143415,143701,143981,144253,144515,144780,145001,145256,
99100,0,0,0,0,4,16,55,162,363,692,1204,1941,2822,3938,5266,6774,8407,10226,12123,14098,16317,18482,20718,23056,25354,27736,30047,32385,34651,36961,39272,41469,43662,45861,48058,50212,52367,54426,56370,58347,60255,62028,63828,65581,67329,69008,70639,72202,73636,75096,76561,77947,79324,80671,81958,83233,84462,85629,86789,87842,88963,90031,91090,92020,92982,93932,94806,95696,96531,97356,98196,98981,99817,100575,101293,102025,102747,103470,104154,104788,105432,106046,106654,107244,107767,108313,108867,109365,109876,110395,110865,111335,111777,112176,112600,113034,113413,113783,114153,114533,114904,115251,115593,115923,116234,116559,116897,117204,117488,117772,118062,118324,118577,118812,119036,119247,119452,119695,119908,
99110,0,0,0,0,0,4,16,66,153,309,579,982,1521,2201,3060,4033,5151,6421,7786,9296,10846,12501,14174,15830,17636,19428,21321,23157,24958,26779,28624,30416,32164,33931,35712,37457,39145,40806,42534,44168,45747,47262,48773,50252,51710,53095,54528,55901,57225,58475,59764,60993,62190,63362,64559,65712,66766,67849,68861,69817,70783,71733,72682,73628,74490,75343,76184,76920,77701,78414,79138,79847,80525,81243,81917,82575,83240,83846,84448,85009,85577,86179,86708,87279,87746,88228,88694,89213,89684,90129,90592,91000,91389,91784,92165,92546,92894,93229,93552,93882,94197,94516,94847,95165,95423,95728,95983,96235,96499,96784,97031,97293,97535,97758,97992,98220,98473,98708,98907,
99120,0,0,0,0,0,1,3,23,60,125,238,443,696,1071,1535,2111,2818,3565,4439,5409,6484,7597,8795,10004,11222,12507,13871,15216,16618,18044,19349,20744,22204,23659,25079,26440,27728,29067,30328,31643,32953,34211,35467,36670,37820,38985,40148,41263,42334,43413,44423,45451,46428,47434,48345,49266,50164,51034,51903,52739,53558,54413,55196,55901,56665,57427,58145,58866,59557,60212,60827,61462,62036,62633,63226,63756,64313,64842,65375,65902,66422,66883,67366,67842,68308,68743,69183,69609,70014,70410,70817,71180,71547,71934,72268,72627,72963,73286,73591,73912,74221,74520,74778,75054,75312,75575,75831,76073,76324,76592,76801,77018,77242,77463,77667,77886,78068,78262,78461,
99130,0,0,0,0,0,0,2,7,15,31,64,127,255,417,642,944,1315,1754,2178,2682,3257,3950,4654,5371,6160,6990,7859,8730,9653,10564,11553,12452,13438,14338,15296,16218,17179,18184,19161,20133,21016,21908,22789,23667,24587,25428,26307,27178,28064,28911,29687,30490,31314,32084,32841,33589,34271,35021,35683,36339,36976,37598,38205,38837,39386,39981,40581,41121,41674,42240,42797,43286,43763,44232,44689,45149,45603,46028,46479,46880,47263,47682,48057,48428,48804,49175,49532,49870,50189,50493,50826,51177,51462,51756,52038,52358,52665,52965,53227,53519,53791,54049,54319,54547,54783,55016,55236,55432,55641,55858,56041,56235,56419,56622,56769,56961,57124,57310,57491,
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99520,42,1789,9758,26188,50300,79487,110564,142409,173711,203920,232550,259514,284711,308150,329989,350842,370158,388143,404613,419944,434397,447825,460498,472531,483673,494109,504066,513339,522072,529997,537692,544908,551787,558292,564534,570402,575946,581212,586229,591105,595614,599966,603918,607850,611501,615024,618419,621685,624783,627742,630615,633415,635927,638485,640932,643267,645422,647610,649707,651763,653692,655501,657242,658946,660610,662184,663722,665167,666575,667929,669257,670553,671758,672883,674089,675180,676286,677296,678229,679163,680095,680968,681879,682784,683576,684380,685172,685891,686594,687303,687986,688659,689268,689917,690529,691053,691623,692159,692682,693166,693614,694068,694537,694985,695460,695880,696255,696651,697025,697392,697767,698105,698475,698807,699156,699484,699780,700089,700392,
99530,15,693,4968,15327,31463,52418,76478,101786,127343,152734,177140,200632,222971,243994,263668,282126,299726,316343,331776,346283,359586,372031,383978,395241,405791,415880,425201,434075,442419,450478,458004,465160,471848,478051,484010,489785,495275,500448,505521,510151,514646,519006,523034,526891,530545,534101,537452,540655,543701,546597,549476,552235,554816,557390,559802,562041,564268,566438,568512,570459,572339,574178,575938,577670,579283,580849,582288,583787,585177,586514,587909,589178,590442,591671,592767,593843,594865,595922,596927,597855,598783,599689,600570,601423,602249,603029,603794,604516,605262,605969,606702,607330,607929,608531,609092,609682,610246,610806,611331,611850,612389,612858,613341,613766,614200,614601,615002,615378,615795,616180,616540,616871,617232,617575,617914,618242,618551,618846,619136,
99540,2,293,2270,7937,17937,31965,49035,67867,87602,107626,127579,147279,166015,183831,200859,217159,232530,246908,260794,274151,286622,298274,309163,319627,329430,338828,347742,356196,364151,371656,378688,385428,391870,397963,403657,409110,414467,419459,424203,428711,433033,437122,441045,444798,448397,451840,455056,458177,461160,463988,466822,469474,472060,474461,476786,479012,481147,483327,485322,487324,489165,490927,492704,494360,495939,497505,499076,500547,501954,503239,504550,505840,507071,508241,509399,510503,511543,512555,513514,514482,515369,516246,517102,517959,518798,519583,520368,521138,521837,522586,523226,523870,524499,525063,525664,526230,526804,527335,527865,528329,528793,529279,529734,530171,530572,530997,531444,531876,532240,532604,532941,533301,533672,533985,534341,534666,534985,535284,535559,
99550,0,67,738,3294,8682,16921,27627,40476,54396,69077,84235,99592,114572,129294,143421,157068,170078,182632,194559,206022,216864,227172,236905,246226,255134,263470,271468,279108,286248,293083,299629,305952,311875,317414,322767,327786,332665,337357,341791,346056,350046,354014,357673,361369,364825,368067,371188,374117,377033,379872,382586,385131,387547,389891,392150,394308,396472,398489,400452,402281,404027,405785,407499,409063,410709,412271,413746,415119,416484,417779,419001,420266,421479,422637,423756,424855,425844,426863,427838,428766,429703,430583,431453,432235,433064,433833,434614,435382,436126,436819,437454,438123,438750,439347,439924,440466,441022,441561,442070,442593,443102,443616,444057,444479,444917,445309,445753,446163,446576,446949,447308,447658,448010,448367,448648,448955,449259,449577,449868,
99560,0,36,423,1907,5428,11409,19543,29401,40675,52759,65400,78191,91311,103898,116379,128476,140138,151277,162235,172777,182790,192395,201391,210050,218349,226244,233706,240720,247611,254248,260524,266465,272224,277516,282660,287564,292334,296818,301105,305183,309117,313006,316471,319876,323177,326379,329437,332408,335174,337907,340500,343028,345416,347734,349993,352071,354149,356145,357987,359847,361617,363325,365050,366667,368165,369597,371062,372447,373809,375070,376314,377511,378682,379813,380859,381903,382911,383930,384859,385863,386761,387649,388438,389242,390049,390807,391552,392284,392951,393615,394286,394869,395476,396088,396658,397238,397822,398373,398931,399431,399934,400393,400849,401275,401679,402100,402514,402928,403248,403640,404024,404361,404683,405026,405334,405657,405943,406252,406520,
99570,0,9,206,1089,3354,7288,13057,20553,29262,39140,49450,59982,70924,81670,92424,102826,112994,123050,132661,142029,151069,159717,167989,175915,183416,190711,197577,204243,210614,216643,222373,227856,233108,238187,242993,247568,251976,256214,260324,264223,267850,271410,274946,278172,281375,284534,287494,290313,293086,295706,298130,300476,302743,304936,307164,309254,311240,313150,315004,316735,318514,320161,321767,323370,324902,326366,327838,329218,330489,331715,332925,334070,335256,336401,337372,338403,339400,340346,341285,342202,343076,343875,344711,345516,346308,347050,347801,348509,349216,349919,350564,351161,351779,352359,352951,353490,354004,354525,355028,355516,355958,356457,356921,357359,357781,358149,358574,358951,359332,359710,360086,360441,360803,361113,361449,361756,362070,362363,362688,
99580,0,4,85,526,1814,4374,8201,13404,19874,27079,35080,43492,52275,61122,69924,78701,87356,96075,104490,112588,120410,128007,135317,142389,149273,155777,162108,168061,173835,179290,184569,189668,194501,199056,203516,207765,211894,216007,219816,223442,226880,230236,233490,236687,239665,242419,245203,247867,250427,252957,255261,257560,259790,261930,263981,265952,267850,269629,271417,273173,274828,276468,277997,279495,280904,282321,283645,284987,286235,287430,288565,289752,290887,291935,292990,293968,294896,295819,296726,297567,298417,299254,300089,300873,301638,302324,303104,303843,304468,305096,305718,306320,306925,307510,308082,308610,309109,309610,310115,310605,311065,311539,311993,312428,312837,313279,313675,314028,314434,314795,315127,315498,315842,316171,316480,316764,317040,317337,317588,
99590,0,3,28,219,867,2294,4673,8136,12381,17500,23358,29670,36417,43179,50461,57738,64807,71937,78958,85869,92589,99184,105534,111656,117472,123143,128686,134155,139245,144085,148863,153559,157849,162080,166129,170008,173782,177502,180984,184288,187437,190670,193670,196437,199177,201802,204409,206909,209336,211685,213955,216075,218197,220185,222063,223944,225787,227528,229147,230751,232319,233874,235335,236719,238058,239408,240709,241949,243171,244330,245395,246424,247478,248465,249446,250405,251334,252236,253093,253869,254711,255459,256224,256966,257647,258348,259055,259733,260374,260995,261608,262213,262810,263391,263930,264458,264983,265484,265976,266449,266900,267353,267783,268201,268656,269047,269371,269730,270098,270453,270788,271099,271421,271709,272014,272288,272605,272863,273145,
99600,0,0,13,116,493,1378,3031,5473,8814,12729,17443,22466,28056,33808,39872,46017,52083,58245,64354,70480,76372,82229,87900,93461,98760,103972,108996,113719,118504,123103,127444,131643,135757,139629,143425,147006,150590,153924,157184,160384,163523,166499,169292,172016,174631,177168,179667,182022,184301,186470,188557,190570,192581,194479,196302,198105,199823,201451,203017,204552,206124,207536,208957,210247,211574,212815,214077,215306,216488,217593,218683,219772,220776,221719,222627,223575,224526,225363,226156,226932,227663,228474,229206,229946,230644,231338,232040,232688,233325,233887,234474,235058,235621,236132,236631,237148,237671,238170,238623,239084,239490,239895,240320,240731,241124,241530,241921,242269,242628,242934,243252,243572,243879,244160,244459,244734,244981,245274,245549,
99610,0,0,7,64,290,837,1931,3607,6077,8984,12576,16611,21043,25708,30666,35676,40814,46085,51216,56550,61685,66773,71651,76446,81092,85703,90278,94700,98909,103014,107040,110918,114631,118291,121798,125088,128327,131514,134496,137445,140232,142981,145638,148208,150649,152931,155226,157398,159447,161485,163415,165286,167164,168880,170568,172178,173840,175420,176893,178324,179793,181152,182472,183799,185035,186212,187337,188431,189575,190598,191625,192655,193612,194498,195376,196296,197132,197907,198683,199478,200196,200891,201586,202271,202953,203647,204247,204860,205464,206039,206610,207126,207636,208158,208649,209161,209619,210107,210574,211036,211442,211852,212260,212660,213060,213447,213817,214158,214485,214808,215105,215434,215740,216003,216314,216582,216861,217121,217379,
99620,0,0,1,35,155,457,1158,2262,3884,5939,8523,11565,15000,18616,22464,26568,30837,35269,39703,44182,48676,53029,57362,61492,65570,69589,73571,77475,81285,84925,88437,91894,95230,98400,101578,104690,107585,110407,113016,115698,118324,120758,123109,125333,127603,129777,131873,133919,135847,137737,139568,141341,143099,144772,146430,147985,149462,150884,152285,153635,154940,156240,157543,158768,159923,161087,162158,163262,164297,165306,166234,167230,168161,169028,169844,170703,171491,172252,173018,173822,174569,175273,175954,176588,177260,177864,178500,179054,179648,180169,180701,181225,181758,182242,182705,183180,183632,184088,184529,184938,185334,185720,186122,186496,186855,187186,187561,187881,188217,188534,188824,189120,189414,189705,189979,190263,190505,190775,191049,
99630,0,0,1,13,54,192,544,1177,2159,3512,5309,7410,9787,12454,15411,18536,21803,25240,28795,32343,35832,39352,42946,46362,49770,53155,56574,59741,63050,66176,69348,72341,75330,78171,80986,83701,86298,88847,91376,93790,96022,98250,100399,102570,104581,106425,108377,110204,112042,113787,115455,117081,118675,120173,121654,123063,124475,125777,127085,128376,129562,130716,131877,132996,134110,135136,136153,137136,138103,138986,139920,140797,141650,142448,143203,144009,144777,145500,146210,146932,147590,148262,148885,149478,150097,150695,151254,151781,152332,152827,153318,153855,154336,154779,155240,155674,156115,156511,156939,157320,157737,158093,158456,158843,159177,159525,159803,160105,160426,160713,161006,161288,161556,161822,162083,162333,162583,162821,163040,
99640,0,0,0,1,18,103,277,602,1170,1963,2998,4313,5882,7751,9800,12031,14378,16870,19385,22041,24738,27533,30303,33061,35761,38500,41223,43906,46599,49145,51773,54350,56829,59242,61596,63817,65995,68194,70274,72339,74285,76268,78207,80089,81861,83633,85403,87003,88605,90156,91657,93136,94524,95846,97197,98446,99667,100882,102070,103211,104292,105350,106355,107368,108318,109257,110147,110992,111868,112687,113524,114304,115108,115883,116628,117347,118051,118740,119430,120018,120643,121236,121855,122469,123053,123620,124169,124707,125240,125800,126261,126706,127157,127627,128058,128472,128855,129238,129618,129997,130343,130699,131024,131352,131646,131933,132230,132530,132812,133152,133421,133696,133964,134211,134445,134696,134913,135159,135379,
99650,0,0,0,0,7,31,124,313,582,1032,1669,2478,3522,4750,6132,7698,9406,11204,13155,15138,17245,19320,21503,23743,25987,28039,30262,32351,34463,36537,38617,40786,42879,44920,46874,48737,50628,52484,54218,56059,57768,59437,61055,62657,64256,65863,67362,68748,70143,71522,72829,74083,75279,76459,77621,78762,79911,81023,82047,83033,83966,84947,85869,86793,87666,88530,89370,90151,90964,91765,92564,93315,94036,94738,95448,96128,96791,97397,97969,98596,99192,99736,100285,100769,101292,101779,102247,102718,103151,103619,104034,104421,104863,105299,105696,106055,106432,106798,107145,107460,107778,108098,108380,108652,108963,109266,109571,109857,110107,110392,110664,110921,111132,111353,111573,111797,111997,112186,112377,
99660,0,0,0,1,3,17,40,112,212,390,716,1163,1757,2517,3368,4393,5471,6617,7821,9138,10633,12101,13630,15159,16748,18347,20016,21665,23237,24900,26530,28083,29665,31270,32837,34300,35798,37365,38823,40238,41663,42919,44206,45475,46744,47988,49242,50438,51599,52748,53817,54859,55900,56962,57965,58948,59887,60808,61664,62582,63472,64327,65112,65895,66687,67445,68187,68885,69581,70213,70869,71492,72093,72708,73324,73837,74378,74887,75427,75986,76461,76933,77433,77887,78326,78767,79162,79605,80012,80422,80787,81205,81582,81975,82322,82637,82969,83292,83589,83911,84217,84502,84778,85032,85296,85549,85813,86083,86275,86532,86763,87026,87271,87471,87682,87901,88086,88276,88503,
99670,0,0,0,0,1,2,11,23,64,134,266,442,700,1021,1493,2017,2578,3229,3940,4799,5665,6611,7579,8590,9663,10680,11811,12961,14078,15205,16361,17522,18640,19738,20860,22015,23141,24205,25307,26372,27386,28448,29422,30403,31351,32334,33294,34239,35186,36056,36926,37768,38600,39411,40223,40941,41691,42451,43136,43883,44583,45280,45935,46585,47231,47844,48475,49050,49606,50160,50707,51230,51752,52249,52736,53189,53644,54092,54515,54910,55298,55654,56092,56492,56873,57244,57592,57982,58352,58695,59015,59327,59627,59930,60247,60528,60811,61122,61367,61636,61884,62157,62401,62650,62885,63115,63335,63549,63775,63977,64146,64344,64539,64706,64925,65120,65286,65458,65615,
99680,0,0,0,0,0,0,0,5,11,29,55,112,180,299,446,640,883,1147,1469,1848,2197,2641,3120,3604,4180,4714,5315,5926,6533,7158,7810,8524,9206,9906,10582,11253,11948,12654,13361,14061,14708,15373,16080,16724,17386,18062,18711,19352,19916,20479,21128,21743,22377,22911,23495,24051,24619,25171,25698,26214,26723,27236,27710,28188,28670,29095,29549,30002,30426,30847,31242,31642,32045,32412,32801,33142,33511,33847,34179,34525,34862,35175,35482,35758,36040,36332,36627,36877,37137,37388,37615,37859,38087,38351,38609,38847,39056,39242,39481,39665,39871,40061,40270,40464,40639,40800,40947,41129,41288,41466,41613,41772,41913,42083,42250,42389,42527,42658,42782,
99690,705,9933,35733,75087,121329,169730,217057,261690,303301,341689,376907,408925,437898,464870,489413,512101,532612,551624,569231,585448,600556,614638,627732,639708,650910,661473,671514,680917,689409,697562,705230,712391,719124,725573,731772,737497,742891,748042,752890,757637,761958,766228,770139,773870,777470,780925,784157,787243,790322,793095,795781,798452,801100,803545,805748,807988,810130,812177,814169,816050,817892,819607,821352,822919,824412,825856,827270,828649,830032,831289,832536,833757,834917,836046,837067,838080,839128,840106,841055,842009,842850,843663,844461,845176,846020,846760,847533,848200,848845,849473,850112,850793,851410,852021,852553,853077,853576,854070,854541,855013,855480,855911,856339,856722,857126,857496,857879,858241,858629,858971,859307,859619,859974,860300,860603,860882,861170,861446,861706,
99700,103,2848,13517,33806,61153,92868,126279,159402,191763,222389,251203,278347,303577,326926,348830,369118,387831,405195,421458,436684,450772,463779,476152,487674,498466,508498,518340,527336,535673,543477,550822,558013,564757,571034,577188,582837,588295,593404,598277,602991,607516,611686,615704,619588,623221,626563,629947,633097,636171,639069,641856,644541,647119,649574,651908,654171,656363,658444,660461,662390,664226,666065,667771,669590,671183,672780,674312,675701,677071,678418,679679,680930,682102,683180,684241,685290,686316,687353,688333,689257,690150,690991,691818,692664,693435,694168,694893,695614,696297,696956,697596,698242,698843,699500,700113,700664,701186,701719,702231,702773,703238,703708,704195,704604,705019,705412,705832,706250,706646,707026,707384,707740,708064,708380,708724,709009,709291,709573,709832,
99710,35,1302,7159,20236,39286,62799,88652,115356,142190,168198,193308,216888,239345,260612,280536,299025,316310,332594,347609,361986,375399,387874,399616,410631,420867,430491,439617,448283,456587,464337,471600,478477,485043,491270,497217,502915,508264,513255,517977,522625,526947,531082,535203,539048,542646,546178,549484,552628,555662,558531,561328,563933,566459,568941,571290,573488,575661,577719,579712,581617,583426,585208,586958,588635,590206,591676,593064,594571,595960,597257,598505,599712,600914,602099,603204,604299,605341,606318,607269,608211,609147,609969,610814,611617,612377,613156,613965,614627,615336,616045,616697,617346,617962,618578,619170,619720,620299,620844,621341,621853,622356,622806,623270,623667,624077,624483,624866,625208,625582,625961,626329,626654,626978,627342,627648,627984,628279,628584,628866,
99720,11,445,3290,10759,22904,39134,58034,78161,99054,120405,141031,161134,180236,198498,215760,232122,247602,262183,275898,288893,301180,312602,323551,333939,343626,352679,361402,369560,377457,384837,391768,398374,404623,410515,416177,421640,426694,431716,436292,440724,444922,448956,452676,456480,460022,463411,466644,469700,472652,475427,478124,480813,483286,485664,487895,490103,492197,494276,496322,498271,500122,501921,503642,505286,506827,508312,509783,511227,512628,513976,515274,516461,517640,518804,519976,521040,522067,523030,524011,524925,525817,526721,527568,528389,529168,530002,530750,531423,532150,532851,533541,534143,534787,535374,535939,536505,537027,537583,538106,538583,539056,539520,539972,540410,540828,541230,541636,542007,542358,542731,543104,543448,543756,544080,544412,544743,545062,545368,545676,
99730,0,128,1257,4800,11405,21220,33474,47487,62824,78696,94707,110404,125926,140845,155262,169265,182515,195121,207246,218680,229495,239839,249751,258930,267704,276012,283969,291521,298612,305261,311690,317993,323918,329453,334892,339871,344742,349319,353804,357972,361985,365823,369592,373095,376506,379683,382796,385766,388519,391315,393881,396365,398715,401059,403349,405489,407606,409682,411594,413451,415264,416990,418708,420239,421775,423236,424664,426020,427358,428667,429901,431139,432321,433470,434557,435644,436666,437663,438578,439505,440417,441290,442143,442928,443708,444460,445172,445878,446577,447268,447926,448548,449158,449716,450267,450838,451405,451946,452453,452930,453382,453845,454287,454709,455124,455526,455946,456349,456729,457114,457480,457839,458155,458461,458793,459131,459418,459734,460042,
99740,0,76,680,2907,7544,14657,24144,35460,47900,60699,74297,87919,101369,114513,127585,140047,151922,163247,174428,184910,194943,204479,213710,222350,230536,238462,245884,253094,259993,266573,272612,278482,284038,289238,294295,299249,303974,308401,312573,316630,320430,324139,327660,331084,334341,337546,340446,343239,346035,348685,351195,353661,356110,358332,360458,362527,364536,366442,368334,370129,371872,373634,375234,376842,378361,379860,381206,382621,383915,385190,386407,387621,388797,389886,390979,391936,392922,393888,394792,395728,396620,397482,398309,399035,399785,400548,401309,402051,402751,403437,404102,404755,405332,405924,406482,407004,407542,408089,408599,409076,409532,409974,410412,410855,411318,411721,412100,412464,412850,413186,413535,413893,414263,414581,414902,415200,415507,415821,416118,
99750,0,33,336,1605,4537,9556,16484,25063,34995,45417,56424,67727,79245,90451,101511,112411,123042,133207,142974,152518,161637,170301,178644,186719,194216,201573,208696,215469,221794,227848,233710,239286,244466,249452,254307,258977,263442,267626,271642,275505,279147,282587,285993,289288,292520,295500,298386,301192,303801,306397,308850,311249,313556,315745,317873,319926,321883,323786,325595,327318,329090,330732,332295,333805,335281,336672,338162,339452,340703,341988,343212,344278,345347,346388,347422,348456,349454,350385,351310,352205,353086,353966,354768,355572,356364,357095,357836,358536,359189,359827,360436,361054,361645,362267,362842,363376,363883,364389,364854,365345,365798,366213,366638,367081,367461,367820,368210,368597,368980,369344,369706,370049,370377,370689,371002,371300,371598,371918,372207,
99760,1,7,130,815,2560,5667,10453,16465,23671,31678,40339,49396,58693,68012,77423,86685,95734,104483,113195,121421,129440,137274,144703,151845,158765,165297,171653,177794,183574,189103,194482,199669,204493,209049,213563,217823,221862,225845,229566,233236,236703,239989,243258,246340,249310,252063,254798,257544,260108,262551,264850,267160,269258,271370,273404,275355,277199,278997,280749,282432,284050,285679,287199,288720,290161,291538,292819,294077,295283,296489,297724,298863,299981,301029,302083,303037,304029,304949,305785,306639,307478,308292,309102,309844,310593,311309,312026,312788,313473,314121,314735,315359,315933,316489,317021,317577,318105,318614,319090,319566,320020,320451,320913,321347,321734,322139,322510,322873,323224,323587,323965,324327,324655,324966,325285,325597,325885,326162,326449,
99770,0,4,47,328,1191,3098,6028,9967,14976,20907,27398,34353,41695,49070,56635,64089,71531,78965,86242,93177,100035,106745,113162,119191,125184,130940,136611,142030,147315,152330,157231,161776,166222,170562,174640,178434,182216,185821,189342,192732,195895,199029,201988,204908,207690,210328,212876,215321,217701,220062,222377,224474,226429,228422,230295,232219,234004,235747,237338,238927,240450,241920,243316,244752,246131,247395,248661,249898,251082,252163,253232,254206,255275,256252,257232,258184,259059,259948,260757,261569,262333,263126,263893,264626,265404,266107,266820,267520,268121,268746,269356,269885,270459,271006,271530,272036,272506,273003,273482,273931,274400,274815,275229,275644,276027,276420,276769,277109,277471,277794,278086,278413,278728,279046,279346,279645,279938,280250,280542,
99780,0,0,30,188,733,1982,4077,7043,10861,15556,20843,26616,32602,38809,45188,51672,58222,64742,71212,77386,83609,89583,95402,101092,106582,111916,116950,121962,126714,131324,135716,140101,144210,148075,151977,155709,159264,162712,166039,168992,172004,174927,177787,180525,183188,185692,188096,190374,192604,194832,196929,198958,200920,202814,204682,206433,208112,209807,211423,212984,214412,215870,217249,218563,219811,221063,222292,223424,224542,225648,226756,227737,228758,229741,230681,231606,232526,233335,234161,234909,235679,236449,237233,237982,238618,239317,239953,240593,241229,241834,242431,242997,243541,244087,244599,245043,245532,246001,246459,246889,247294,247725,248137,248520,248902,249242,249570,249932,250276,250638,250978,251286,251598,251900,252209,252491,252773,253020,253305,
99790,0,0,10,104,461,1182,2546,4662,7424,10919,14986,19452,24283,29411,34703,40041,45528,50969,56566,62037,67359,72730,77873,82836,87822,92639,97261,101764,106078,110293,114284,118119,121921,125678,129139,132554,135810,138976,142036,144963,147721,150405,153026,155581,158030,160444,162853,165028,167165,169270,171209,173150,175009,176782,178500,180157,181793,183322,184829,186244,187592,189000,190340,191643,192887,194099,195234,196313,197409,198529,199535,200556,201491,202431,203294,204128,205013,205816,206573,207346,208091,208778,209514,210176,210851,211498,212146,212705,213299,213849,214400,214941,215433,215941,216469,216938,217442,217894,218323,218769,219211,219629,220041,220427,220829,221190,221543,221859,222171,222522,222860,223172,223475,223782,224066,224314,224553,224797,225055,
99800,0,0,5,49,238,716,1577,3001,4907,7280,10194,13571,17266,21338,25579,30000,34516,39041,43738,48395,53011,57489,61886,66172,70371,74456,78599,82539,86364,90165,93728,97179,100534,103822,107062,110065,113032,115994,118784,121503,124080,126536,128928,131340,133643,135777,137931,139987,141925,143823,145630,147375,149052,150792,152371,153951,155393,156941,158356,159692,160989,162292,163461,164672,165836,167012,168147,169203,170246,171266,172284,173191,174102,174980,175818,176690,177480,178240,178976,179724,180429,181110,181803,182463,183104,183722,184306,184885,185461,185999,186536,187048,187523,188004,188488,188950,189421,189846,190311,190688,191090,191506,191891,192281,192627,192991,193357,193658,193988,194327,194627,194922,195222,195481,195761,196050,196298,196562,196797,
99810,0,0,0,18,91,318,790,1566,2796,4522,6457,8873,11690,14749,17818,21176,24739,28361,32124,35859,39583,43288,46997,50620,54222,57751,61225,64656,67981,71336,74403,77425,80399,83307,86132,88866,91512,94144,96675,99128,101451,103633,105754,107911,109992,112020,113941,115893,117713,119417,121164,122822,124420,125970,127424,128838,130191,131527,132863,134081,135327,136480,137627,138744,139843,140912,141900,142913,143927,144904,145786,146696,147572,148355,149156,149968,150707,151428,152155,152808,153501,154140,154777,155390,155985,156541,157126,157656,158210,158780,159257,159749,160169,160627,161100,161517,161923,162359,162772,163180,163556,163936,164320,164679,164998,165312,165629,165957,166244,166538,166858,167140,167406,167678,167973,168235,168467,168697,168922,
99820,0,0,1,3,37,127,383,798,1446,2378,3608,5154,7060,9221,11470,13923,16486,19247,22076,24879,27790,30622,33583,36497,39384,42219,45005,47821,50649,53419,56141,58648,61167,63615,66085,68417,70661,72929,75106,77229,79219,81153,83055,84880,86748,88480,90238,91884,93546,95050,96494,97996,99394,100732,102085,103416,104682,105888,107118,108283,109432,110529,111529,112518,113493,114515,115440,116349,117241,118093,118919,119734,120526,121278,121994,122688,123424,124091,124764,125404,126052,126662,127262,127849,128413,128956,129477,129983,130481,130981,131455,131908,132340,132779,133171,133587,134007,134380,134786,135144,135505,135885,136203,136517,136853,137164,137487,137801,138114,138406,138668,138950,139194,139456,139697,139941,140188,140388,140602,
99830,0,0,0,0,9,43,159,379,778,1317,2156,3164,4434,5810,7413,9149,11013,12966,15051,17186,19368,21753,24104,26334,28603,30877,33215,35446,37666,39911,42160,44314,46362,48361,50409,52418,54294,56104,57926,59729,61455,63153,64733,66413,67995,69610,71072,72530,73919,75226,76598,77982,79210,80465,81637,82820,84010,85114,86176,87167,88176,89153,90112,91013,91905,92714,93601,94431,95270,96079,96763,97453,98175,98873,99536,100170,100804,101386,101966,102538,103104,103652,104181,104684,105192,105664,106142,106605,107072,107581,108007,108433,108841,109217,109614,109984,110334,110686,111023,111377,111685,111981,112339,112637,112967,113244,113544,113839,114116,114400,114638,114906,115156,115415,115639,115843,116054,116264,116459,
99840,0,0,0,0,3,17,58,144,346,625,1056,1581,2315,3176,4137,5272,6467,7746,9163,10650,12130,13757,15427,17147,18853,20599,22339,24119,25781,27457,29033,30669,32398,34069,35646,37252,38813,40336,41788,43301,44731,46157,47485,48852,50153,51378,52606,53831,54974,56188,57304,58368,59467,60465,61489,62489,63388,64303,65233,66123,66916,67762,68571,69349,70154,70907,71664,72367,73058,73753,74402,75039,75668,76248,76826,77395,77923,78508,79032,79580,80058,80529,80987,81434,81875,82326,82745,83177,83643,84040,84440,84829,85230,85571,85931,86246,86544,86858,87178,87507,87786,88095,88373,88649,88939,89225,89471,89760,89999,90247,90490,90733,90939,91157,91393,91614,91785,91969,92141,
99850,0,0,0,0,0,4,11,34,103,199,356,620,941,1384,1887,2479,3153,3904,4708,5681,6636,7639,8718,9842,10961,12065,13247,14410,15613,16822,17977,19093,20319,21498,22670,23899,25026,26147,27236,28311,29393,30505,31528,32575,33531,34550,35462,36453,37403,38356,39265,40140,41003,41825,42654,43436,44242,44968,45686,46374,47103,47744,48460,49087,49782,50432,51056,51672,52188,52760,53300,53840,54319,54831,55332,55828,56304,56772,57204,57652,58045,58430,58834,59234,59636,60006,60397,60749,61087,61426,61762,62058,62351,62655,62974,63251,63536,63794,64100,64340,64614,64873,65107,65353,65596,65832,66045,66281,66494,66710,66909,67108,67318,67518,67702,67868,68064,68240,68390,
99860,0,0,0,0,0,0,2,4,14,40,82,160,243,383,560,816,1072,1402,1758,2147,2580,3005,3545,4130,4686,5327,5937,6566,7263,7920,8632,9320,10030,10716,11469,12189,12929,13637,14408,15142,15804,16494,17181,17887,18546,19214,19879,20553,21181,21845,22471,23061,23692,24280,24833,25448,25981,26551,27065,27614,28130,28643,29133,29623,30107,30578,31046,31503,31906,32322,32727,33140,33514,33890,34266,34624,34963,35290,35653,36002,36327,36642,36956,37244,37553,37874,38162,38446,38733,39002,39264,39510,39757,40002,40237,40488,40710,40926,41135,41350,41542,41729,41940,42111,42298,42484,42657,42823,42995,43186,43349,43486,43638,43807,43953,44088,44212,44346,44481,
99870,1,177,3258,14408,35635,65329,100540,137867,174687,210697,244696,276635,306121,333429,358792,382013,403422,423450,441619,458271,473542,487583,500894,513291,524678,535175,545131,554331,562872,570966,578438,585542,592244,598377,604136,609513,614704,619519,624079,628421,632551,636424,640196,643629,646814,649861,652717,655468,658062,660701,663087,665409,667561,669671,671625,673533,675318,677042,678666,680226,681747,683158,684537,685861,687117,688304,689445,690567,691597,692664,693620,694546,695477,696325,697147,697921,698683,699410,700133,700805,701443,702035,702649,703215,703774,704307,704824,705376,705851,706304,706740,707164,707574,707982,708396,708759,709070,709447,709766,710085,710395,710737,711047,711346,711653,711901,712122,712366,712575,712772,712989,713207,713410,713577,713758,713926,714109,714302,714469,
99880,0,34,860,4916,14450,29715,50032,73424,98597,123845,148904,173160,196286,218007,238669,258116,276388,293251,309040,323505,337237,349972,362101,373186,383772,393610,402836,411335,419450,426993,434179,440862,447129,453069,458759,464009,468950,473586,477954,482067,486066,489768,493443,496719,499929,502870,505712,508432,511059,513531,515865,518155,520281,522398,524349,526168,527879,529640,531244,532880,534319,535789,537156,538474,539625,540858,541987,543056,544100,545118,546082,547026,547901,548747,549634,550435,551245,551987,552686,553372,554074,554729,555327,555937,556489,557079,557618,558114,558636,559097,559544,560004,560406,560854,561225,561571,561925,562278,562616,562911,563236,563559,563848,564141,564421,564706,564944,565205,565428,565678,565886,566091,566294,566513,566719,566927,567094,567305,567491,
99890,0,9,333,2389,7945,17845,31779,48994,68035,88303,108769,129022,148771,167627,185524,202586,218537,233682,248058,261212,273938,285863,297007,307258,316942,325986,334562,342564,350085,357257,363852,370061,376154,381722,387108,392035,396737,401242,405440,409628,413420,417054,420523,423879,427060,429821,432710,435361,437843,440241,442549,444744,446830,448824,450670,452512,454269,455917,457513,459014,460420,461857,463128,464460,465768,466912,468043,469121,470161,471190,472111,473053,473999,474802,475621,476396,477177,477885,478604,479286,479931,480579,481185,481777,482357,482879,483418,483915,484400,484887,485377,485806,486223,486626,487058,487411,487783,488107,488420,488738,489057,489357,489647,489930,490209,490495,490747,490994,491235,491470,491709,491912,492091,492311,492496,492687,492881,493038,493232,
99900,0,3,135,1035,4030,10006,19132,30661,44186,59183,74858,90859,106527,121972,137199,151586,165372,178334,190518,202350,213521,224053,233939,243317,252315,260581,268589,276024,283170,289622,295785,301774,307265,312672,317716,322501,326844,331052,335198,338958,342603,346208,349517,352757,355663,358418,361082,363709,366107,368425,370608,372800,374774,376695,378549,380375,382051,383615,385186,386626,388053,389488,390738,391909,393157,394305,395394,396469,397515,398565,399548,400438,401311,402179,402982,403702,404416,405112,405803,406446,407111,407727,408311,408835,409422,409962,410458,410968,411428,411945,412412,412872,413271,413674,414065,414426,414782,415146,415502,415820,416144,416447,416720,417015,417308,417601,417852,418096,418336,418547,418779,418997,419205,419382,419558,419731,419917,420111,420294,
99910,0,0,37,398,1718,4781,9893,17168,26080,36274,47510,59394,71232,83228,95047,106707,117682,128388,138955,149081,158689,167682,176415,184574,192346,199539,206514,213147,219489,225425,231115,236426,241422,246243,250931,255379,259504,263362,267215,270718,274094,277254,280282,283215,285989,288625,291098,293482,295747,297938,300089,302093,304031,305883,307664,309284,310904,312453,313917,315261,316601,317921,319169,320392,321577,322665,323771,324818,325840,326725,327644,328524,329344,330146,330933,331670,332369,333041,333711,334310,334926,335503,336087,336638,337171,337710,338200,338679,339110,339574,340024,340450,340826,341222,341609,341948,342280,342614,342996,343304,343626,343890,344185,344457,344712,344981,345217,345466,345691,345896,346098,346284,346475,346716,346907,347086,347273,347475,347622,
99920,0,0,10,198,1049,3049,6838,12251,19290,27394,36450,46159,56123,66412,76772,86841,96823,106461,115768,124702,133150,141420,149169,156689,163952,170799,177056,183244,189109,194766,200003,205201,210054,214593,219029,223071,226929,230585,234125,237583,240782,243807,246587,249464,252087,254693,257122,259469,261654,263760,265839,267723,269634,271351,273036,274656,276212,277716,279145,280537,281915,283124,284306,285475,286556,287587,288613,289599,290507,291463,292298,293180,294016,294788,295582,296337,297021,297694,298351,298995,299559,300152,300695,301262,301736,302237,302743,303230,303695,304128,304550,304972,305360,305756,306107,306453,306766,307119,307431,307745,308049,308363,308645,308935,309204,309472,309714,309957,310204,310406,310634,310839,311041,311242,311443,311609,311778,311935,312129,
99930,0,0,8,108,563,1886,4367,8149,13266,19574,26672,34473,42682,51227,59912,68368,76716,85023,93172,101101,108643,115896,123056,129893,136295,142496,148396,154019,159489,164486,169417,174210,178646,182786,186793,190544,194275,197746,201082,204203,207224,210083,212920,215555,218158,220638,222899,225104,227189,229231,231159,233005,234778,236431,238084,239584,241117,242609,243958,245333,246628,247846,248968,250107,251142,252166,253177,254142,255183,256072,256954,257830,258633,259379,260156,260896,261516,262163,262816,263460,264032,264605,265140,265647,266143,266649,267087,267587,268029,268451,268880,269292,269667,270028,270371,270710,271021,271382,271715,271994,272265,272552,272822,273076,273320,273572,273827,274054,274262,274506,274731,274926,275125,275313,275524,275691,275885,276060,276251,
99940,0,0,4,53,307,1039,2600,5186,8819,13294,18743,24885,31296,38164,45286,52350,59632,66782,73806,80514,87085,93272,99441,105464,111149,116771,122064,127129,131952,136749,141192,145437,149414,153306,156985,160513,163836,167083,170153,173137,175871,178603,181116,183499,185849,188103,190268,192320,194241,196118,198055,199810,201441,203065,204647,206158,207572,208969,210351,211671,212863,214001,215110,216187,217250,218230,219172,220094,221020,221876,222708,223524,224270,224972,225687,226379,227038,227709,228338,228919,229444,230031,230543,231009,231512,232049,232529,232977,233434,233806,234229,234625,234969,235322,235659,236007,236341,236625,236934,237215,237495,237767,238011,238252,238480,238698,238932,239164,239381,239580,239765,239995,240190,240378,240546,240727,240899,241090,241240,
99950,0,0,2,20,143,536,1400,3000,5338,8430,12195,16765,21701,26905,32285,37835,43414,49017,54685,60236,65732,71237,76539,81590,86474,91256,95835,100293,104573,108600,112566,116379,120045,123476,126784,129988,133031,135985,138754,141457,144194,146664,148964,151267,153447,155569,157552,159419,161229,163027,164709,166352,167889,169356,170766,172113,173457,174696,175942,177130,178219,179289,180301,181311,182273,183221,184090,184950,185749,186592,187397,188167,188898,189619,190311,190969,191605,192212,192803,193350,193890,194421,194928,195403,195892,196330,196777,197181,197588,197990,198375,198757,199135,199450,199765,200062,200341,200635,200923,201186,201472,201757,202028,202286,202537,202773,202986,203187,203401,203599,203814,203997,204212,204425,204610,204762,204916,205068,205195,
99960,0,0,0,6,85,279,865,1963,3653,5995,8869,12321,16245,20731,25370,30090,34960,39798,44850,49927,54876,59685,64410,68896,73283,77680,81822,85933,89796,93509,97049,100564,103914,107112,110221,113218,116025,118772,121336,123919,126300,128588,130832,132926,134904,136849,138678,140459,142280,143933,145463,147055,148527,149890,151257,152601,153890,155107,156259,157359,158433,159487,160457,161455,162353,163267,164119,164999,165868,166632,167347,168001,168706,169323,169935,170568,171211,171777,172324,172865,173399,173898,174356,174832,175303,175735,176162,176585,176970,177349,177701,178052,178354,178685,179005,179328,179630,179934,180217,180515,180757,181001,181216,181431,181627,181842,182089,182291,182507,182718,182912,183080,183280,183442,183630,183758,183931,184087,184221,
99970,0,0,2,9,36,175,555,1344,2538,4295,6518,9245,12426,15898,19681,23572,27610,31835,36108,40362,44588,48824,52984,56921,60836,64694,68491,72099,75608,78938,82169,85356,88395,91334,94159,96867,99564,102126,104540,106857,109102,111214,113298,115243,117169,119023,120788,122420,124057,125579,127150,128547,129860,131186,132483,133765,134953,136150,137226,138268,139293,140313,141270,142195,143031,143901,144713,145474,146248,146947,147669,148312,148960,149600,150225,150815,151366,151909,152414,152935,153421,153893,154360,154801,155191,155617,156039,156453,156834,157174,157547,157922,158258,158567,158855,159156,159422,159708,159945,160198,160440,160688,160936,161144,161357,161547,161742,161925,162133,162333,162523,162696,162871,163047,163209,163349,163493,163650,163790,
99980,0,0,0,0,20,99,313,726,1508,2655,4215,6186,8456,11089,14056,17175,20433,23743,27228,30871,34376,37938,41384,44885,48302,51618,54912,58076,61284,64304,67156,69895,72677,75196,77707,80069,82352,84662,86872,88915,90952,92943,94790,96568,98270,99995,101557,103200,104687,106120,107457,108821,110076,111294,112455,113621,114741,115854,116874,117855,118749,119726,120620,121452,122280,123094,123848,124573,125279,125973,126649,127266,127913,128531,129118,129693,130212,130721,131227,131662,132148,132564,133049,133508,133902,134296,134652,135015,135364,135703,136052,136390,136736,137018,137327,137578,137832,138128,138362,138597,138848,139079,139294,139506,139717,139918,140105,140297,140484,140682,140863,141026,141196,141369,141514,141656,141805,141949,142080,
99990,0,0,0,0,7,48,155,418,908,1657,2692,4023,5712,7650,9851,12246,14796,17505,20244,23058,25909,28721,31560,34361,37311,40096,42893,45599,48218,50786,53189,55680,57985,60315,62545,64730,66868,68855,70824,72667,74498,76256,77915,79583,81130,82659,84099,85490,86798,88145,89422,90641,91772,92873,93953,94945,95981,96945,97914,98815,99641,100468,101283,102126,102856,103570,104252,104923,105576,106219,106882,107457,108001,108555,109104,109617,110110,110608,111077,111582,112013,112428,112779,113174,113590,113962,114292,114656,114995,115312,115621,115926,116174,116488,116749,116990,117274,117491,117729,117953,118192,118399,118620,118831,119033,119214,119398,119577,119735,119881,120085,120245,120388,120519,120671,120841,120978,121095,121238,
100000,0,0,0,0,3,25,89,224,515,978,1589,2474,3577,4875,6406,8163,9921,11948,13966,16060,18257,20528,22828,25135,27400,29703,31899,34096,36240,38366,40462,42450,44407,46318,48239,50037,51832,53543,55165,56878,58430,59918,61339,62763,64102,65471,66700,67968,69207,70337,71459,72514,73479,74468,75433,76348,77246,78118,78937,79735,80474,81220,81943,82648,83345,84040,84679,85318,85914,86485,87010,87558,88118,88618,89142,89589,90057,90503,90926,91353,91758,92126,92517,92890,93259,93586,93891,94199,94515,94834,95131,95410,95664,95946,96210,96418,96641,96882,97107,97333,97565,97785,97986,98179,98362,98509,98673,98858,99018,99172,99319,99467,99615,99732,99869,100035,100163,100280,100395,
100010,0,0,0,0,1,10,34,94,235,488,857,1420,2141,3010,4037,5252,6502,7960,9441,11065,12728,14511,16293,18078,19888,21707,23504,25323,27079,28809,30537,32244,33828,35465,37113,38671,40157,41611,42981,44387,45680,46995,48257,49474,50634,51843,53010,54148,55155,56142,57083,58028,58918,59771,60576,61369,62166,62973,63741,64487,65168,65854,66495,67116,67747,68351,68989,69518,70031,70540,71065,71574,72091,72557,73018,73478,73909,74325,74712,75112,75456,75805,76168,76492,76813,77123,77385,77688,77967,78240,78510,78789,79066,79309,79545,79762,79989,80186,80399,80599,80761,80955,81131,81290,81454,81616,81777,81954,82099,82240,82379,82495,82655,82779,82890,83020,83137,83236,83355,
100020,0,0,0,0,1,2,10,32,84,218,413,691,1096,1605,2209,2966,3818,4770,5776,6849,8039,9197,10437,11703,13025,14323,15641,16969,18386,19679,21019,22318,23677,25002,26275,27539,28762,29987,31227,32320,33453,34536,35598,36637,37658,38609,39580,40491,41382,42240,43060,43810,44591,45314,46085,46815,47503,48217,48868,49548,50159,50797,51370,51945,52484,53044,53573,54067,54522,54961,55443,55860,56286,56681,57060,57405,57741,58112,58467,58798,59122,59434,59747,60027,60303,60538,60823,61073,61328,61576,61819,62043,62280,62522,62700,62889,63083,63256,63442,63624,63800,63960,64112,64281,64437,64601,64734,64861,64994,65141,65281,65428,65559,65688,65802,65897,66011,66109,66221,
100030,0,0,0,0,0,0,2,10,24,64,146,276,449,707,1022,1423,1889,2432,3058,3764,4497,5308,6132,6934,7790,8664,9555,10452,11382,12259,13189,14100,15075,15991,16932,17862,18801,19683,20559,21414,22237,23100,23902,24683,25515,26302,27070,27788,28479,29194,29871,30498,31135,31751,32360,32945,33496,34026,34543,35045,35557,36000,36448,36891,37359,37786,38223,38617,39010,39378,39754,40118,40464,40800,41126,41408,41691,42006,42301,42612,42914,43195,43469,43730,43958,44180,44399,44607,44814,45015,45212,45409,45600,45787,45954,46119,46273,46429,46609,46759,46922,47074,47219,47367,47494,47663,47772,47911,48032,48152,48251,48349,48446,48544,48647,48741,48838,48908,49006,
100040,0,0,0,0,0,0,0,0,4,12,36,79,143,222,346,501,683,930,1195,1481,1841,2225,2666,3088,3511,4018,4534,5071,5664,6210,6783,7371,7973,8582,9149,9702,10245,10791,11331,11913,12473,13037,13605,14140,14655,15172,15691,16177,16680,17118,17584,18090,18523,18900,19323,19776,20140,20544,20939,21317,21703,22074,22413,22760,23090,23393,23727,24023,24309,24571,24853,25151,25416,25674,25918,26145,26380,26611,26834,27067,27264,27454,27663,27861,28039,28218,28390,28553,28710,28875,29027,29186,29322,29476,29614,29745,29862,29990,30125,30229,30352,30468,30571,30669,30768,30863,30953,31039,31118,31209,31292,31382,31455,31534,31604,31685,31769,31834,31917,
100050,7,1153,8705,27636,56757,92400,131274,170417,208368,244663,278543,309870,338481,364927,389492,411501,431862,450621,467962,483809,498536,511938,524420,536182,546975,557031,566363,575173,583120,590639,597586,604146,610429,616209,621686,626946,631779,636423,640879,645043,648907,652489,655984,659231,662424,665431,668217,670822,673298,675722,678133,680327,682430,684397,686229,687961,689656,691329,692843,694355,695723,697104,698415,699630,700795,701916,702990,704040,705025,705998,706868,707755,708626,709456,710233,711036,711748,712439,713104,713711,714317,714919,715498,716062,716557,717102,717629,718088,718577,719033,719475,719912,720294,720688,721048,721438,721781,722126,722474,722758,723074,723382,723655,723910,724126,724368,724601,724843,725069,725331,725529,725736,725929,726150,726352,726526,726710,726869,727046,
100060,0,251,2656,10493,24837,45282,69321,95875,122831,149543,175345,199856,222791,244488,264891,283889,301340,317755,332886,347100,360255,372585,384112,394739,404764,414065,422685,430759,438419,445580,452388,458585,464503,470100,475462,480536,485337,489726,493922,497898,501707,505233,508662,511868,514957,517915,520712,523394,525897,528305,530654,532763,534884,536863,538681,540455,542185,543788,545411,546898,548388,549772,551048,552291,553516,554693,555746,556855,557863,558816,559712,560588,561404,562232,563006,563789,564577,565291,565993,566684,567343,567982,568541,569110,569668,570177,570688,571183,571649,572092,572541,572944,573362,573771,574168,574549,574896,575231,575564,575895,576197,576509,576796,577062,577329,577591,577842,578110,578355,578569,578779,578980,579176,579377,579575,579767,579946,580142,580297,
100070,0,80,1217,5698,14913,28883,46673,66646,87916,109603,131248,152168,171989,191050,209044,225992,241989,256781,270866,283710,295834,307275,318045,328035,337370,346193,354317,362159,369366,376242,382677,388824,394541,399903,404986,409770,414283,418550,422599,426483,430137,433643,437003,440252,443186,446030,448765,451301,453869,456290,458510,460547,462496,464425,466269,468047,469699,471319,472913,474352,475795,477108,478393,479605,480851,481980,483105,484122,485184,486166,487100,488010,488885,489761,490554,491325,492037,492722,493448,494083,494740,495337,495956,496507,497014,497565,498076,498585,499079,499564,499991,500431,500818,501241,501608,501969,502338,502681,503017,503325,503609,503910,504208,504457,504719,504977,505224,505459,505699,505909,506138,506336,506540,506727,506922,507123,507313,507473,507643,
100080,0,22,487,2756,8085,17010,28936,43452,59319,76105,93176,110122,126591,142611,157948,172434,186385,199453,211773,223297,234173,244322,254154,263328,272013,280027,287602,294791,301521,307949,313964,319687,325095,330204,334894,339429,343744,347839,351715,355282,358786,362119,365220,368198,371201,373990,376643,379195,381544,383774,385860,387878,389859,391762,393653,395395,397083,398630,400113,401531,402956,404339,405576,406771,407966,409089,410192,411223,412167,413171,414094,414966,415817,416661,417459,418190,418866,419572,420225,420841,421447,422018,422601,423137,423726,424264,424737,425260,425712,426181,426589,426997,427397,427756,428127,428452,428753,429096,429416,429734,430046,430341,430598,430867,431101,431349,431593,431821,432062,432281,432485,432683,432884,433119,433323,433531,433703,433875,434033,
100090,0,5,147,1083,3743,8683,15985,25188,36111,48107,60551,73320,86248,98865,111284,123296,134839,145711,156179,166132,175574,184510,193155,201213,209028,216237,223142,229620,235904,241799,247246,252431,257298,261953,266390,270549,274503,278285,281930,285449,288715,291873,294843,297704,300462,303020,305455,307834,310041,312117,314167,316159,318021,319793,321471,323178,324742,326157,327640,329032,330378,331654,332914,334105,335239,336313,337333,338346,339301,340201,341091,341960,342791,343616,344373,345072,345810,346461,347083,347685,348312,348877,349444,349993,350507,350999,351519,351990,352427,352896,353323,353704,354093,354459,354804,355173,355497,355834,356134,356449,356742,357023,357310,357591,357864,358115,358347,358593,358813,359035,359237,359438,359622,359821,360015,360218,360394,360587,360754,
100100,0,3,101,688,2338,5749,11039,18310,26867,36500,46887,57778,68660,79627,90225,100896,111169,120854,130422,139551,148166,156336,164182,171744,178769,185397,191647,197800,203760,209305,214488,219404,223940,228317,232477,236380,240163,243806,247312,250625,253713,256602,259449,262168,264767,267248,269595,271803,273964,276064,278017,279924,281756,283479,285094,286677,288198,289634,291055,292414,293678,294945,296134,297255,298348,299440,300442,301386,302358,303304,304156,304964,305757,306499,307204,307917,308592,309237,309899,310532,311118,311695,312209,312729,313259,313725,314185,314669,315148,315590,316010,316380,316767,317176,317525,317875,318191,318516,318836,319144,319407,319672,319946,320198,320443,320688,320916,321146,321364,321561,321776,321972,322168,322353,322527,322689,322869,323019,323185,
100110,0,1,46,345,1394,3659,7489,12705,19358,26905,35277,44137,53220,62386,71530,80641,89460,98002,106336,114358,122075,129482,136461,143134,149719,155846,161832,167459,172794,177841,182741,187362,191678,195853,199779,203643,207241,210729,214005,217128,220147,223019,225684,228171,230582,232938,235199,237349,239432,241398,243236,245002,246725,248376,249997,251555,252963,254316,255631,256945,258209,259374,260565,261674,262684,263692,264653,265622,266520,267423,268272,269083,269842,270577,271307,272013,272675,273311,273937,274507,275080,275670,276212,276705,277235,277703,278176,278610,279037,279450,279867,280244,280587,280976,281352,281711,282015,282317,282662,282980,283277,283534,283797,284061,284301,284573,284826,285035,285259,285465,285638,285857,286035,286223,286401,286568,286725,286884,287052,
100120,0,0,18,162,792,2187,4638,8304,13014,18798,25438,32271,39589,47155,54761,62325,69803,77131,84268,91270,98024,104613,110961,117078,122878,128360,133648,138700,143544,148247,152588,156844,160800,164669,168251,171751,175057,178273,181287,184229,186959,189630,192213,194541,196818,198995,201065,203208,205143,207039,208872,210650,212255,213848,215327,216694,217965,219239,220500,221738,222903,224064,225141,226167,227181,228113,229076,229988,230868,231728,232566,233387,234098,234846,235501,236149,236797,237406,237981,238524,239081,239586,240116,240615,241129,241603,242040,242461,242838,243264,243642,244001,244327,244689,245058,245401,245711,246039,246320,246622,246924,247173,247448,247674,247928,248159,248382,248587,248826,249039,249263,249456,249637,249824,250002,250164,250335,250470,250625,
100130,0,0,6,76,376,1176,2630,4982,8235,12163,16791,22065,27731,33548,39717,45742,51823,57980,63993,69837,75652,81166,86495,91570,96505,101255,105942,110558,114881,119058,123026,126791,130550,133904,137267,140347,143327,146263,149040,151755,154284,156677,158970,161123,163202,165301,167324,169188,171004,172706,174410,176057,177587,179050,180446,181803,183128,184341,185536,186679,187842,188842,189876,190926,191801,192722,193571,194365,195142,195950,196720,197400,198069,198816,199465,200151,200776,201334,201879,202416,202943,203472,203979,204463,204903,205350,205759,206161,206551,206942,207301,207652,208005,208336,208715,209043,209316,209608,209885,210169,210426,210714,210975,211228,211481,211690,211920,212146,212338,212526,212737,212939,213105,213266,213425,213584,213756,213923,214104,
100140,0,0,1,40,199,678,1709,3418,5822,8947,12637,16839,21382,26366,31365,36665,41849,47287,52472,57692,62873,67932,72689,77472,82004,86392,90578,94723,98719,102423,106055,109541,112873,116047,119157,122145,124988,127623,130188,132796,135181,137503,139785,141908,143837,145810,147668,149367,151001,152671,154236,155788,157242,158649,159992,161361,162586,163768,164909,166052,167101,168145,169141,170118,171004,171855,172636,173446,174258,174988,175690,176405,177074,177697,178328,178967,179578,180124,180675,181216,181743,182245,182707,183155,183608,184050,184456,184855,185222,185593,185969,186297,186644,186985,187308,187600,187895,188188,188478,188766,189029,189257,189510,189731,189957,190171,190377,190577,190777,190983,191146,191331,191513,191694,191858,192008,192167,192309,192442,
100150,0,0,1,27,137,443,1079,2247,4043,6353,9245,12580,16293,20320,24470,28855,33259,37822,42398,46822,51289,55655,59832,63969,67982,71867,75502,79076,82596,86091,89414,92636,95764,98729,101590,104276,106890,109401,111837,114120,116346,118469,120501,122485,124405,126258,127980,129643,131240,132800,134302,135770,137094,138406,139705,140980,142152,143262,144384,145411,146416,147393,148310,149273,150079,150828,151622,152414,153145,153845,154569,155247,155904,156516,157117,157679,158231,158782,159317,159793,160271,160747,161180,161632,162062,162476,162904,163303,163669,164026,164396,164744,165059,165397,165725,166017,166297,166591,166843,167092,167340,167541,167757,167963,168183,168395,168607,168797,168988,169165,169346,169512,169666,169835,169995,170146,170301,170455,170617,
100160,0,0,1,12,54,226,652,1435,2669,4333,6424,8857,11648,14735,18014,21545,25148,29019,32847,36731,40575,44317,47969,51589,55119,58489,61819,64974,68193,71232,74255,77088,79809,82462,84954,87371,89721,92060,94249,96368,98413,100360,102240,104067,105829,107518,109087,110628,112114,113584,114899,116224,117503,118699,119860,120995,122067,123176,124269,125299,126269,127186,128080,128912,129673,130481,131228,131924,132592,133311,133942,134627,135231,135808,136385,136938,137458,137992,138483,138926,139381,139840,140291,140673,141089,141479,141869,142223,142557,142940,143292,143616,143911,144198,144473,144762,145040,145299,145568,145835,146056,146293,146517,146730,146935,147158,147339,147523,147689,147868,148021,148181,148352,148510,148664,148794,148934,149066,149192,
100170,0,0,1,5,23,119,347,853,1555,2645,4089,5858,7881,10164,12711,15491,18315,21311,24196,27239,30328,33367,36423,39451,42446,45431,48326,51089,53787,56445,59058,61502,63942,66213,68507,70644,72751,74738,76708,78590,80479,82271,83984,85636,87152,88644,90098,91549,92866,94111,95368,96569,97786,98892,99959,100917,101945,102872,103785,104657,105548,106449,107293,108101,108823,109540,110305,110979,111649,112257,112850,113440,114017,114528,115036,115533,116008,116490,116923,117358,117797,118228,118647,119053,119436,119831,120197,120556,120896,121220,121553,121860,122154,122435,122706,122978,123216,123467,123713,123921,124144,124391,124595,124787,124989,125171,125369,125555,125752,125916,126068,126222,126351,126478,126609,126751,126892,127028,127158,
100180,0,0,0,0,10,40,153,386,837,1490,2413,3551,5007,6600,8444,10360,12538,14758,17069,19397,21842,24235,26656,29133,31524,34011,36264,38522,40711,42938,45131,47195,49229,51266,53165,54982,56800,58425,60111,61779,63383,64857,66344,67811,69170,70555,71870,73087,74314,75468,76610,77710,78747,79765,80696,81646,82582,83418,84312,85130,85953,86700,87461,88165,88826,89496,90061,90706,91292,91850,92422,92957,93487,94019,94494,94981,95450,95893,96312,96696,97112,97469,97842,98209,98556,98898,99227,99533,99848,100155,100419,100678,100955,101200,101440,101667,101900,102138,102337,102558,102743,102928,103107,103293,103470,103659,103839,104026,104178,104328,104486,104644,104792,104910,105033,105160,105280,105387,105512,
100190,0,0,0,0,3,15,74,217,475,855,1408,2141,3057,4181,5407,6844,8452,10039,11732,13597,15481,17431,19367,21273,23232,25119,26887,28666,30546,32358,34127,35944,37723,39371,41095,42670,44185,45670,47133,48512,49866,51175,52506,53737,54920,56059,57134,58168,59184,60138,61136,62051,62978,63893,64764,65660,66489,67295,68062,68781,69461,70129,70799,71474,72066,72663,73289,73807,74380,74870,75330,75865,76359,76834,77253,77643,78081,78474,78885,79267,79616,79935,80285,80610,80928,81244,81546,81848,82123,82379,82644,82909,83174,83406,83635,83839,84064,84272,84475,84674,84861,85063,85236,85405,85578,85736,85901,86049,86205,86347,86509,86663,86775,86892,87023,87145,87276,87367,87474,
100200,0,0,0,0,1,8,29,80,189,365,644,1012,1539,2246,3024,3921,4881,5901,7086,8323,9627,11001,12399,13776,15206,16679,18193,19616,21007,22371,23788,25210,26638,28064,29364,30688,31967,33192,34376,35549,36697,37823,38922,39941,40920,41934,42813,43733,44647,45507,46319,47116,47908,48670,49393,50133,50757,51426,52091,52771,53350,53899,54471,55065,55586,56069,56565,57063,57553,57983,58417,58843,59301,59691,60075,60451,60788,61147,61484,61808,62105,62408,62706,62980,63281,63540,63818,64030,64272,64546,64783,65007,65227,65460,65646,65843,66020,66200,66373,66549,66743,66902,67079,67244,67406,67552,67692,67841,67967,68094,68212,68326,68428,68540,68651,68759,68844,68947,69056,
100210,0,0,0,0,0,2,11,19,63,135,243,428,709,1066,1476,1973,2533,3189,3905,4699,5551,6422,7352,8328,9292,10298,11302,12274,13290,14297,15303,16302,17335,18290,19320,20302,21236,22179,23060,23944,24808,25652,26475,27277,28102,28890,29656,30397,31112,31815,32518,33181,33796,34377,34971,35546,36123,36711,37256,37788,38307,38776,39253,39717,40197,40601,41006,41418,41810,42175,42570,42899,43267,43615,43970,44275,44589,44870,45171,45456,45721,46021,46292,46531,46771,47002,47226,47453,47663,47865,48066,48256,48443,48651,48824,49002,49194,49350,49494,49640,49817,49960,50084,50222,50352,50470,50594,50694,50823,50945,51040,51126,51214,51339,51456,51556,51634,51740,51817,
100220,0,0,0,0,0,1,2,4,10,27,71,123,210,317,501,686,936,1196,1501,1899,2322,2745,3210,3715,4280,4889,5494,6066,6659,7231,7840,8403,9052,9682,10317,10932,11504,12102,12699,13309,13876,14448,15035,15560,16140,16645,17191,17681,18201,18718,19204,19661,20116,20545,20976,21425,21831,22244,22638,23041,23410,23781,24115,24467,24802,25116,25435,25720,26005,26292,26580,26838,27100,27336,27600,27871,28104,28329,28541,28758,28980,29168,29359,29546,29732,29913,30114,30282,30470,30631,30774,30927,31080,31206,31360,31503,31636,31760,31888,32004,32126,32244,32351,32441,32556,32649,32758,32846,32932,33023,33115,33203,33278,33354,33416,33498,33595,33672,33750,
100230,73,2892,15686,41589,76804,117112,158542,198791,237379,273456,306883,337134,365093,390610,414133,435591,455012,472862,489333,504693,518416,531470,543592,554802,565223,574768,583562,591869,599605,606795,613542,619889,625976,631508,636805,641860,646445,650836,655002,658847,662655,666300,669559,672662,675626,678334,680996,683629,685968,688288,690369,692462,694341,696267,698038,699832,701481,703013,704470,705901,707341,708707,709910,711154,712300,713405,714462,715459,716446,717412,718350,719174,720044,720913,721727,722430,723138,723789,724462,725085,725673,726242,726820,727349,727883,728382,728869,729353,729767,730179,730563,730969,731354,731715,732070,732426,732761,733072,733365,733650,733927,734182,734439,734680,734930,735181,735414,735660,735880,736105,736308,736509,736720,736921,737089,737268,737453,737607,737764,
100240,7,745,5406,17343,36567,60824,88019,116446,144980,172394,198816,223658,246675,268246,288287,306930,324124,340104,354967,368694,381548,393474,404534,414892,424387,433223,441488,449306,456655,463651,470027,476065,481780,487282,492278,497155,501666,506051,510051,513844,517436,520924,524197,527272,530267,533041,535736,538348,540869,543129,545337,547421,549375,551236,553032,554704,556392,557962,559508,561017,562426,563756,565033,566243,567459,568576,569625,570640,571589,572519,573390,574222,575071,575847,576639,577369,578142,578831,579495,580120,580706,581287,581837,582343,582819,583306,583797,584284,584773,585217,585641,586030,586452,586830,587203,587570,587933,588255,588584,588882,589157,589437,589715,589978,590246,590485,590747,590986,591191,591392,591612,591798,592000,592169,592362,592510,592663,592829,592999,
100250,1,284,2761,9944,22809,40350,61013,83485,106573,129702,151822,173189,193304,212272,230284,246998,262637,277285,290890,303590,315414,326523,336901,346677,355802,364326,372202,379820,386837,393635,399775,405624,411211,416338,421394,425960,430377,434661,438634,442475,445933,449320,452512,455473,458358,461086,463637,466085,468485,470713,472900,474991,476933,478807,480636,482375,484009,485619,487067,488572,489941,491210,492442,493640,494812,495948,497033,498046,499042,499997,500900,501755,502560,503396,504188,504934,505643,506291,506922,507564,508163,508772,509337,509892,510409,510906,511405,511913,512350,512815,513218,513619,514027,514381,514743,515074,515399,515729,516062,516356,516632,516918,517205,517532,517782,518027,518259,518474,518679,518909,519102,519309,519521,519719,519907,520108,520261,520432,520584,
100260,2,113,1182,5010,12797,24424,38847,55370,72924,91193,109332,126893,143727,159704,175228,189726,203564,216581,228686,240229,250932,261046,270759,279693,288195,296142,303763,310753,317489,323850,329642,335260,340583,345614,350345,354740,358846,362786,366435,369975,373382,376760,379865,382906,385674,388359,390947,393378,395667,397823,399886,401863,403694,405441,407197,408814,410390,411875,413315,414698,416062,417328,418512,419667,420835,421979,423058,424074,425019,425954,426872,427704,428514,429276,430019,430750,431477,432153,432810,433389,433944,434509,435085,435600,436105,436629,437158,437600,438067,438522,438955,439359,439760,440163,440519,440886,441234,441564,441898,442185,442467,442750,443008,443279,443523,443781,444018,444235,444467,444687,444894,445100,445300,445496,445681,445831,446005,446174,446356,
100270,0,26,452,2156,6330,13091,22428,33607,45965,59327,72987,86625,100294,113292,126061,138065,149756,160804,171302,181251,190642,199662,208240,216334,223936,231136,237872,244197,250333,256104,261553,266764,271570,276040,280382,284520,288348,292115,295617,298944,302125,305114,308050,310807,313452,315956,318406,320700,322754,324822,326817,328795,330602,332275,333947,335529,337064,338515,339914,341277,342552,343862,345042,346147,347259,348324,349375,350362,351227,352125,352980,353786,354547,355287,356041,356725,357402,358046,358660,359250,359841,360383,360952,361478,362006,362472,362975,363421,363863,364327,364729,365117,365503,365849,366224,366570,366891,367239,367537,367838,368141,368411,368669,368928,369170,369412,369660,369895,370108,370302,370515,370729,370933,371111,371293,371463,371625,371757,371923,
100280,0,10,239,1335,3996,9042,15909,24858,34886,45879,57337,69079,80784,92385,103647,114603,124958,135034,144694,153816,162504,170700,178620,186097,193112,199871,206170,212247,218022,223386,228412,233311,237906,242175,246357,250315,253964,257521,260773,264075,267147,270019,272775,275444,277900,280346,282610,284823,286935,288941,290829,292551,294414,296119,297805,299339,300867,302314,303760,304979,306227,307408,308541,309702,310741,311729,312743,313676,314636,315503,316316,317127,317923,318715,319440,320121,320790,321440,322059,322632,323188,323723,324241,324759,325270,325757,326236,326713,327139,327544,327943,328350,328722,329100,329448,329786,330144,330446,330741,331024,331299,331577,331828,332109,332366,332582,332824,333025,333259,333500,333705,333897,334107,334285,334463,334621,334783,334958,335109,
100290,0,5,136,746,2464,5819,10930,17539,25335,34119,43551,53296,63264,73171,82907,92373,101468,110439,119004,127121,134966,142296,149266,156065,162483,168691,174421,180076,185457,190433,195303,199799,204205,208310,212209,215885,219479,222830,225969,229015,231895,234643,237238,239803,242255,244613,246882,249078,251064,253013,254861,256682,258328,259951,261578,263036,264487,265827,267178,268483,269653,270845,272001,273068,274061,275103,276053,276986,277898,278728,279549,280340,281084,281751,282427,283136,283803,284451,285063,285626,286199,286711,287234,287711,288187,288628,289095,289552,289961,290377,290791,291189,291550,291930,292257,292629,292948,293243,293552,293843,294111,294373,294621,294863,295116,295367,295615,295819,296050,296266,296453,296668,296861,297034,297218,297378,297525,297699,297856,
100300,0,3,51,364,1352,3525,6895,11647,17445,24024,31350,39104,47009,55136,63339,71286,79158,86865,94331,101524,108370,115080,121283,127397,133087,138609,143917,149026,154039,158605,162992,167196,171232,175023,178622,182040,185356,188362,191375,194228,197017,199658,202210,204632,206866,208992,211039,212965,214908,216785,218550,220213,221833,223327,224852,226295,227678,228963,230154,231355,232561,233699,234797,235797,236773,237694,238578,239435,240291,241132,241921,242671,243441,244075,244743,245428,246012,246612,247205,247735,248240,248821,249318,249765,250250,250705,251163,251578,251988,252381,252713,253077,253434,253743,254096,254469,254795,255121,255390,255657,255922,256190,256428,256655,256893,257152,257399,257639,257849,258067,258259,258462,258626,258780,258967,259139,259312,259485,259649,
100310,0,0,18,180,707,1937,4119,7337,11413,16418,21834,27723,33975,40272,46836,53304,59885,66387,72686,78711,84660,90361,95636,100964,106140,110939,115731,120400,124684,128868,132725,136541,140155,143593,146853,149950,152890,155826,158559,161262,163823,166198,168530,170777,172907,174982,176937,178725,180498,182235,183877,185376,186788,188212,189681,191033,192270,193499,194637,195774,196856,197911,198892,199813,200721,201705,202509,203337,204134,204927,205717,206459,207137,207799,208417,209033,209668,210231,210815,211363,211861,212342,212849,213303,213772,214215,214620,215014,215410,215785,216168,216533,216855,217174,217499,217782,218088,218369,218632,218899,219152,219396,219655,219878,220130,220355,220573,220771,220963,221163,221327,221510,221678,221825,222012,222178,222321,222484,222630,
100320,0,1,14,117,456,1277,2857,5087,8173,11953,16307,21149,26324,31838,37350,43004,48596,54219,59754,65239,70549,75792,80749,85593,90022,94546,98878,103170,107094,110957,114570,118188,121536,124787,127900,130799,133565,136291,138908,141415,143776,145991,148192,150342,152401,154299,156076,157853,159568,161228,162788,164228,165557,166939,168288,169518,170730,171943,173063,174194,175224,176260,177240,178172,179081,179881,180693,181506,182242,183029,183763,184502,185210,185827,186449,187047,187642,188164,188719,189243,189767,190266,190738,191157,191619,192077,192492,192902,193294,193639,194001,194335,194680,195044,195354,195667,195913,196161,196454,196725,196963,197187,197413,197636,197860,198082,198302,198527,198726,198900,199080,199278,199430,199586,199741,199916,200065,200208,200355,
100330,0,0,2,45,248,783,1827,3441,5743,8641,12090,16040,20426,24892,29463,34228,38996,43812,48793,53516,58147,62629,67075,71330,75509,79543,83426,87221,90763,94206,97544,100773,103827,106748,109634,112359,114957,117489,119946,122251,124458,126558,128612,130556,132457,134236,135998,137629,139282,140807,142300,143711,145079,146348,147639,148892,150034,151153,152243,153321,154324,155267,156175,157035,157840,158655,159460,160228,160967,161689,162398,163083,163724,164346,164907,165495,166025,166587,167088,167579,168078,168566,169057,169493,169897,170316,170705,171060,171409,171779,172122,172442,172736,173040,173329,173637,173903,174184,174450,174705,174929,175180,175393,175614,175829,176051,176275,176475,176649,176852,177029,177206,177382,177558,177710,177877,178007,178174,178304,
100340,0,0,0,22,135,430,1109,2224,3852,5926,8390,11350,14667,18205,22025,25895,29867,33875,37926,41941,45877,49664,53491,57259,60899,64423,67785,71164,74404,77445,80470,83339,86142,88794,91406,93808,96246,98499,100794,102922,104902,106860,108815,110615,112358,113999,115603,117091,118580,120031,121382,122799,124097,125275,126475,127623,128686,129722,130728,131732,132628,133539,134379,135204,136012,136784,137535,138244,138945,139647,140302,140925,141563,142116,142687,143275,143805,144274,144785,145275,145703,146127,146559,146992,147389,147747,148096,148476,148815,149153,149510,149800,150105,150405,150671,150968,151224,151469,151715,151952,152176,152386,152600,152826,153060,153276,153447,153647,153827,154022,154201,154400,154559,154707,154851,155010,155131,155260,155401,
100350,0,0,0,14,62,221,616,1238,2275,3633,5421,7483,9915,12503,15359,18407,21560,24759,28159,31389,34673,37931,41139,44345,47501,50633,53474,56261,59090,61847,64513,66966,69398,71822,74098,76288,78323,80347,82296,84296,86138,87819,89516,91167,92788,94340,95783,97215,98554,99792,101098,102345,103465,104594,105665,106702,107730,108720,109628,110561,111437,112293,113099,113843,114618,115317,116002,116674,117323,117908,118576,119175,119697,120228,120761,121249,121719,122185,122639,123087,123533,123953,124342,124747,125095,125479,125835,126173,126527,126825,127138,127398,127683,127937,128193,128466,128709,128975,129238,129466,129691,129897,130113,130301,130486,130664,130861,131038,131239,131412,131572,131741,131868,132016,132151,132282,132415,132539,132662,
100360,0,0,0,8,28,103,310,671,1284,2191,3378,4826,6448,8300,10468,12742,15103,17551,20148,22596,25159,27741,30383,33006,35550,38044,40435,42856,45105,47299,49509,51658,53794,55775,57755,59680,61517,63291,64972,66619,68211,69783,71277,72703,74145,75487,76804,77992,79196,80385,81513,82624,83675,84684,85681,86610,87528,88438,89315,90126,90958,91723,92454,93149,93801,94489,95161,95780,96365,96938,97472,98082,98570,99091,99578,100015,100430,100852,101284,101691,102091,102453,102814,103181,103518,103873,104214,104549,104865,105163,105432,105711,105986,106248,106523,106749,106987,107235,107429,107633,107867,108057,108265,108440,108602,108793,108971,109102,109259,109424,109571,109720,109859,109997,110095,110228,110355,110480,110599,
100370,0,0,0,1,11,51,144,357,736,1260,2009,2882,3982,5306,6744,8418,10180,11923,13806,15733,17731,19770,21753,23811,25814,27866,29778,31643,33550,35395,37220,39078,40847,42562,44217,45898,47449,48962,50373,51865,53307,54677,56062,57357,58587,59704,60876,61998,63122,64167,65179,66147,67037,67947,68834,69666,70510,71330,72071,72807,73513,74238,74890,75526,76140,76691,77285,77895,78434,78936,79416,79905,80351,80797,81256,81672,82107,82542,82903,83266,83630,83982,84317,84628,84971,85263,85558,85828,86119,86379,86643,86909,87166,87405,87654,87878,88079,88297,88501,88682,88879,89064,89242,89400,89573,89750,89909,90061,90212,90348,90472,90597,90728,90869,90987,91106,91236,91343,91458,
100380,0,0,0,0,2,16,61,157,314,564,974,1530,2204,3005,3938,5001,6157,7443,8762,10195,11646,13167,14677,16226,17742,19273,20787,22278,23759,25288,26783,28212,29582,31010,32348,33672,34952,36231,37516,38637,39753,40837,41940,42948,43948,44943,45940,46921,47856,48785,49633,50458,51275,51996,52776,53521,54230,54916,55572,56220,56823,57414,57963,58570,59120,59650,60129,60681,61190,61663,62129,62546,62963,63388,63785,64170,64536,64897,65271,65621,65934,66215,66537,66822,67098,67367,67644,67914,68124,68346,68597,68847,69051,69269,69469,69674,69864,70052,70201,70360,70521,70702,70842,71014,71152,71313,71438,71593,71739,71870,72010,72132,72262,72376,72468,72572,72665,72764,72886,
100390,0,0,0,0,0,3,11,48,111,219,391,642,991,1390,1914,2551,3242,4020,4821,5706,6654,7673,8624,9699,10691,11753,12748,13792,14872,15959,17018,18095,19108,20133,21127,22143,23172,24176,25073,25928,26819,27730,28606,29460,30237,31076,31884,32645,33379,34083,34777,35413,35993,36615,37200,37818,38461,39007,39515,40012,40537,41084,41572,42044,42519,43016,43441,43836,44283,44642,45026,45371,45731,46058,46397,46721,47042,47345,47636,47880,48182,48460,48705,48962,49234,49441,49646,49886,50105,50305,50518,50713,50903,51078,51270,51450,51602,51754,51899,52045,52193,52366,52503,52625,52758,52885,53010,53114,53220,53344,53474,53571,53666,53770,53852,53934,54030,54115,54190,
100400,0,0,0,0,0,0,1,7,25,58,107,182,286,455,681,927,1214,1568,1976,2418,2913,3414,3940,4490,5093,5673,6276,6910,7564,8184,8820,9515,10215,10880,11565,12227,12887,13525,14132,14743,15356,15964,16521,17120,17700,18261,18761,19276,19795,20319,20773,21255,21724,22208,22662,23096,23499,23927,24309,24721,25095,25461,25817,26157,26497,26840,27147,27451,27753,28050,28329,28583,28878,29123,29400,29652,29924,30170,30394,30595,30819,31051,31260,31466,31646,31845,32046,32225,32385,32545,32723,32866,33036,33192,33338,33472,33578,33697,33830,33957,34064,34185,34295,34407,34500,34613,34700,34770,34874,34965,35059,35129,35218,35314,35381,35448,35527,35603,35677,
100410,254,5550,24449,56479,96862,140452,183676,225061,264026,300192,332864,362484,389524,414047,436672,457360,476527,493695,509540,524242,537765,550275,562020,572557,582355,591522,600116,608065,615431,622284,628661,634717,640346,645769,650858,655601,659967,664252,668253,672049,675566,678827,682052,685103,687946,690676,693228,695732,698102,700293,702414,704406,706267,708110,709894,711579,713118,714670,716115,717505,718790,720107,721306,722444,723582,724652,725704,726702,727696,728578,729447,730302,731114,731912,732628,733354,733999,734645,735338,735910,736474,737054,737596,738095,738615,739108,739549,740003,740388,740826,741201,741591,741965,742329,742671,742985,743320,743640,743916,744219,744500,744751,745027,745260,745513,745726,745956,746157,746376,746577,746786,746977,747153,747319,747491,747659,747834,748001,748133,
100420,43,1631,9047,25107,48421,76279,105893,136118,165592,193631,220308,245035,267932,289535,309274,327420,344242,359751,374338,387696,400206,411639,422294,432326,441766,450449,458646,466349,473435,480212,486562,492356,498015,503239,508153,512817,517254,521359,525302,528930,532381,535743,538847,541824,544699,547278,549869,552336,554653,556844,558892,560916,562895,564776,566528,568207,569776,571265,572701,574076,575424,576731,577999,579192,580277,581296,582333,583308,584202,585096,585981,586794,587661,588474,589234,589979,590664,591329,591998,592621,593232,593809,594321,594857,595364,595866,596335,596779,597196,597612,598019,598429,598846,599173,599493,599837,600170,600453,600769,601066,601371,601650,601901,602170,602417,602666,602891,603088,603292,603501,603709,603887,604059,604238,604423,604599,604765,604938,605090,
100430,7,631,4736,14872,30913,51547,74730,99091,123745,147540,170564,192234,212394,231379,249076,265672,281190,295736,309154,321835,333434,344327,354591,363831,372623,381011,388978,396334,403178,409792,415899,421620,427047,432077,436804,441347,445566,449502,453325,456977,460429,463755,466889,469760,472553,475130,477709,480129,482455,484680,486743,488614,490517,492359,494069,495710,497274,498826,500218,501586,502870,504081,505403,506574,507701,508774,509783,510787,511722,512625,513511,514346,515191,515951,516669,517410,518123,518789,519389,519967,520576,521151,521720,522241,522764,523267,523782,524253,524714,525122,525556,525982,526357,526709,527042,527388,527709,528024,528317,528593,528898,529180,529453,529707,529929,530169,530409,530633,530883,531104,531267,531448,531630,531820,531996,532180,532363,532537,532689,
100440,3,297,2278,8106,18198,31982,48766,67073,86137,105272,123968,142105,159152,175710,191509,206325,220124,233089,245164,256427,267195,277398,286777,295729,303876,311684,319126,325961,332366,338597,344351,349770,354828,359626,364340,368682,372896,376759,380472,383912,387117,390310,393311,396193,398858,401454,403922,406317,408575,410773,412743,414650,416495,418314,419983,421520,423112,424613,426063,427441,428770,430043,431249,432480,433580,434620,435654,436630,437574,438504,439445,440275,441049,441846,442585,443299,443972,444660,445279,445903,446501,447050,447553,448091,448588,449052,449531,450010,450451,450878,451291,451707,452065,452443,452793,453142,453495,453791,454107,454388,454687,454946,455215,455452,455698,455938,456154,456392,456605,456810,457001,457182,457392,457571,457749,457909,458093,458236,458389,
100450,0,99,876,3663,9461,18105,29251,42208,55956,70267,84839,99157,113055,126682,139626,152056,163787,175087,185531,195614,205118,214047,222482,230513,238052,245088,251805,258033,263966,269624,274891,279845,284712,289220,293554,297580,301425,305107,308688,312103,315102,318110,320974,323727,326303,328679,330995,333234,335296,337315,339352,341230,342962,344631,346312,347904,349423,350824,352178,353508,354753,355946,357105,358216,359289,360314,361244,362244,363208,364132,364961,365782,366522,367282,368044,368758,369406,370015,370626,371166,371747,372318,372862,373387,373861,374360,374879,375319,375759,376162,376568,376960,377351,377700,378055,378391,378713,379042,379329,379619,379887,380158,380410,380680,380911,381140,381369,381593,381834,382053,382240,382450,382651,382844,383048,383209,383373,383547,383698,
100460,1,42,492,2274,6293,12625,21203,31478,42879,54943,67305,79609,91988,103985,115529,126729,137265,147467,157169,166414,174974,183141,190891,198358,205275,211900,218197,224144,229699,234930,239943,244810,249410,253579,257724,261645,265327,268818,272224,275433,278513,281367,284108,286739,289234,291544,293851,296055,298072,300082,301924,303714,305448,307143,308785,310306,311774,313179,314532,315812,316984,318156,319284,320360,321402,322417,323334,324287,325185,326048,326851,327668,328428,329173,329841,330542,331161,331790,332407,332981,333576,334129,334659,335189,335668,336136,336577,337024,337437,337845,338240,338602,338977,339344,339719,340053,340388,340687,340978,341288,341573,341860,342112,342352,342593,342819,343064,343288,343499,343700,343893,344055,344241,344426,344609,344755,344919,345103,345267,
100470,0,17,262,1295,3817,8317,14584,22383,31364,41105,51191,61776,72192,82249,92473,102137,111547,120510,129168,137290,145020,152485,159652,166481,172963,178981,184758,190298,195655,200729,205361,209790,214090,218172,222076,225815,229401,232697,235798,238836,241706,244416,247084,249532,251939,254223,256320,258404,260359,262283,264118,265868,267560,269177,270666,272075,273438,274810,276052,277299,278489,279607,280658,281781,282835,283849,284828,285710,286567,287447,288270,289057,289808,290516,291209,291800,292437,293043,293618,294151,294714,295207,295693,296209,296705,297164,297617,298002,298412,298800,299190,299578,299934,300259,300578,300930,301235,301542,301826,302100,302388,302641,302888,303139,303391,303654,303884,304095,304328,304524,304710,304882,305070,305248,305438,305619,305794,305967,306125,
100480,0,8,124,710,2337,5222,9545,15381,22295,29944,38244,46587,55238,63852,72519,80811,88963,96906,104381,111612,118540,125149,131657,137873,143753,149395,154836,159917,164702,169263,173692,177824,181767,185559,189238,192560,195838,198922,201878,204722,207384,209958,212419,214868,217096,219297,221385,223410,225326,227239,229016,230727,232263,233768,235190,236658,237975,239247,240471,241653,242817,243948,244978,245981,246957,247890,248766,249638,250453,251253,252010,252825,253570,254235,254870,255483,256070,256674,257243,257820,258328,258814,259270,259726,260160,260605,261034,261466,261865,262274,262658,263057,263401,263726,264045,264382,264675,264970,265271,265539,265797,266065,266319,266547,266766,266989,267230,267465,267678,267876,268073,268245,268423,268616,268785,268945,269107,269258,269402,
100490,0,3,41,309,1182,2983,5808,9768,14576,20052,26286,32881,39708,46695,53553,60451,67262,73976,80558,86974,92951,98743,104421,109992,115187,120071,124806,129387,133794,137915,141866,145585,149172,152622,155871,159020,162102,164970,167635,170197,172740,175089,177384,179622,181732,183714,185624,187462,189179,190882,192502,194056,195524,196930,198321,199655,200964,202181,203353,204452,205593,206582,207588,208522,209396,210338,211258,212020,212827,213639,214358,215007,215674,216260,216826,217476,218090,218661,219204,219747,220242,220751,221197,221648,222109,222549,222955,223351,223748,224144,224506,224871,225208,225538,225878,226168,226430,226711,226996,227254,227496,227752,227998,228228,228453,228685,228893,229130,229352,229539,229706,229874,230045,230220,230386,230521,230666,230817,230964,
100500,0,0,24,185,745,1914,3923,6949,10729,15302,20450,25868,31504,37389,43590,49523,55363,61095,66795,72346,77784,83000,88140,93132,97925,102486,106838,111044,115140,118897,122670,126215,129633,132773,135910,138883,141686,144432,147029,149411,151775,154087,156229,158294,160288,162181,163930,165645,167275,168903,170414,171942,173364,174744,176062,177327,178592,179780,180857,181924,182884,183873,184826,185813,186728,187597,188469,189278,190064,190809,191524,192243,192904,193553,194185,194764,195323,195872,196417,196903,197383,197875,198335,198773,199177,199613,200028,200396,200791,201152,201519,201850,202178,202506,202833,203122,203415,203709,203998,204258,204499,204743,204966,205182,205375,205582,205803,206031,206230,206410,206600,206748,206931,207113,207270,207441,207593,207730,207877,
100510,0,0,18,104,469,1275,2649,4800,7606,11034,15044,19467,24138,29069,34125,39173,44350,49428,54420,59457,64186,68793,73379,77754,81981,86106,90026,93840,97624,101188,104611,107858,110984,113971,116888,119654,122262,124752,127221,129603,131871,133995,135964,137871,139753,141551,143237,144940,146561,148044,149495,150953,152294,153646,154922,156143,157289,158378,159482,160555,161530,162441,163291,164198,165058,165887,166665,167405,168132,168856,169515,170215,170840,171405,171998,172539,173076,173614,174143,174637,175121,175561,176001,176390,176786,177188,177593,177936,178276,178634,178981,179337,179651,179984,180300,180593,180849,181135,181383,181640,181897,182151,182375,182594,182802,182998,183178,183381,183543,183713,183889,184068,184240,184380,184529,184693,184840,184979,185108,
100520,0,1,4,45,244,710,1656,3145,5157,7710,10721,14083,17796,21748,25923,30120,34426,38768,42956,47233,51441,55483,59458,63338,67087,70701,74213,77557,80816,83920,86981,89870,92734,95496,97965,100437,102866,105218,107440,109505,111607,113568,115401,117182,118837,120503,122113,123657,125194,126658,128104,129448,130645,131841,132963,134064,135163,136184,137179,138139,139081,139931,140858,141709,142528,143265,144015,144724,145375,146057,146700,147322,147935,148500,149069,149577,150067,150568,151044,151492,151946,152400,152816,153254,153612,154031,154411,154772,155116,155456,155797,156102,156383,156694,156976,157237,157479,157748,158008,158226,158471,158691,158870,159054,159243,159420,159595,159800,159991,160154,160328,160485,160627,160795,160933,161074,161229,161371,161490,
100530,0,0,2,25,106,395,936,1806,3089,4824,7021,9427,12211,15168,18497,21835,25224,28769,32308,35739,39245,42612,45934,49218,52361,55397,58443,61333,64121,66886,69565,72020,74514,76923,79311,81485,83584,85682,87755,89626,91473,93218,94930,96551,98132,99689,101135,102559,103864,105158,106413,107621,108786,109862,110974,111978,112983,113944,114879,115782,116709,117571,118327,119137,119883,120564,121254,121902,122547,123177,123792,124367,124871,125414,125967,126466,126955,127423,127889,128340,128767,129164,129570,129956,130351,130706,131071,131433,131800,132125,132431,132726,133015,133274,133546,133800,134050,134268,134512,134716,134941,135165,135378,135541,135742,135945,136146,136324,136484,136653,136817,136979,137150,137319,137466,137597,137742,137873,137982,
100540,0,0,0,10,53,169,451,925,1704,2750,4154,5896,7799,9898,12237,14836,17422,20037,22702,25464,28206,31024,33803,36527,39094,41595,44178,46626,48969,51279,53462,55738,57925,60044,62020,63947,65849,67676,69398,71089,72754,74302,75845,77290,78609,79926,81174,82502,83721,84914,86060,87112,88131,89163,90115,91035,91956,92836,93680,94513,95286,96011,96752,97494,98135,98796,99427,100014,100599,101193,101744,102269,102816,103304,103802,104266,104737,105183,105594,105985,106402,106781,107166,107516,107871,108216,108560,108869,109156,109444,109711,109981,110243,110505,110755,111005,111254,111491,111707,111921,112122,112310,112520,112694,112860,113024,113185,113349,113518,113663,113796,113925,114081,114216,114330,114448,114581,114692,114815,
100550,0,0,1,2,8,56,194,488,953,1636,2520,3635,4975,6503,8148,9941,11911,13913,15994,18175,20375,22537,24676,26840,28946,31117,33288,35373,37413,39305,41142,43029,44864,46588,48301,49940,51546,53073,54557,56024,57528,58897,60209,61524,62695,63920,65097,66206,67252,68268,69347,70314,71209,72045,72863,73765,74561,75389,76210,76913,77632,78351,78983,79668,80297,80910,81512,82084,82623,83144,83681,84141,84619,85063,85504,85945,86339,86721,87130,87520,87867,88208,88515,88850,89187,89484,89812,90132,90444,90738,90974,91210,91448,91657,91882,92104,92320,92535,92741,92945,93145,93322,93535,93696,93841,93990,94142,94299,94449,94580,94732,94879,95022,95158,95289,95405,95496,95622,95741,
100560,0,0,0,0,6,35,103,252,480,851,1335,1987,2837,3768,4906,6125,7410,8815,10289,11832,13400,15024,16691,18339,19943,21564,23135,24728,26257,27818,29385,30858,32360,33793,35154,36503,37821,39101,40302,41492,42725,43910,44998,46098,47159,48163,49143,50051,50976,51858,52742,53561,54339,55094,55826,56522,57252,57895,58573,59194,59808,60426,61006,61554,62129,62657,63155,63605,64062,64564,64985,65431,65824,66234,66644,66995,67380,67757,68114,68467,68811,69130,69426,69713,70004,70302,70547,70797,71061,71284,71509,71705,71918,72151,72347,72546,72752,72946,73150,73319,73468,73648,73822,73971,74126,74258,74394,74530,74653,74779,74899,75032,75145,75280,75387,75502,75611,75697,75810,
100570,0,0,0,0,2,6,30,68,152,294,531,876,1299,1795,2391,3117,3911,4798,5699,6730,7723,8818,9880,10982,12064,13240,14374,15514,16597,17759,18894,20018,21133,22209,23256,24328,25351,26348,27325,28284,29241,30206,31026,31836,32699,33526,34281,35021,35754,36448,37165,37819,38463,39062,39728,40310,40874,41391,41967,42537,43087,43550,44046,44521,44955,45419,45878,46314,46696,47112,47460,47822,48159,48508,48816,49148,49443,49742,50008,50325,50602,50867,51100,51374,51655,51918,52149,52363,52588,52794,53018,53201,53383,53557,53725,53897,54065,54218,54384,54543,54676,54811,54946,55066,55190,55307,55431,55563,55707,55806,55899,56010,56129,56229,56325,56396,56491,56574,56677,
100580,0,0,0,0,0,0,2,10,28,71,129,229,395,588,823,1135,1471,1881,2322,2803,3351,3916,4500,5133,5791,6449,7156,7864,8557,9251,9907,10596,11273,11988,12703,13400,14052,14739,15407,16073,16662,17259,17913,18499,19064,19640,20193,20782,21334,21854,22343,22856,23322,23787,24255,24732,25119,25542,25973,26371,26766,27151,27498,27855,28185,28498,28823,29142,29449,29762,30037,30328,30631,30927,31192,31411,31647,31873,32080,32292,32500,32710,32901,33111,33293,33485,33667,33859,34027,34198,34362,34507,34649,34794,34954,35102,35260,35393,35507,35630,35756,35886,36013,36117,36207,36304,36404,36503,36592,36683,36761,36847,36937,37025,37103,37189,37256,37326,37386,
100590,567,9005,33508,71227,115694,161874,206583,248604,287355,322898,355072,384387,411179,435416,457156,477105,495509,512417,527850,541785,554835,566713,577823,588208,597841,606808,615092,622807,630052,636853,643134,648942,654491,659673,664512,669095,673297,677429,681241,684897,688271,691504,694574,697467,700264,702865,705342,707702,709972,712135,714156,716048,717910,719837,721488,723139,724634,726111,727521,728864,730109,731344,732474,733605,734737,735798,736773,737707,738611,739555,740460,741315,742079,742895,743547,744221,744861,745506,746064,746688,747245,747762,748300,748812,749364,749823,750248,750692,751129,751552,751964,752326,752699,753034,753386,753690,754003,754304,754586,754833,755096,755317,755577,755854,756080,756305,756518,756723,756930,757143,757327,757501,757648,757822,757972,758140,758304,758444,758585,
100600,93,2754,13251,33240,60146,90918,122646,154170,184487,213052,239628,264213,287068,308445,327800,345710,362384,377604,391686,404687,416818,428007,438403,448142,457299,465811,473860,481319,488320,494853,500927,506697,512055,517076,521937,526479,530785,534786,538549,542123,545550,548785,551851,554775,557579,560264,562801,565121,567410,569586,571665,573585,575370,577170,578909,580520,582074,583576,584996,586313,587590,588788,590048,591232,592340,593434,594466,595428,596305,597194,598104,598936,599695,600431,601199,601905,602583,603256,603865,604470,605000,605560,606083,606571,607042,607534,608002,608460,608910,609308,609719,610093,610470,610854,611169,611506,611856,612175,612491,612783,613051,613305,613520,613761,614041,614251,614485,614680,614893,615097,615298,615481,615665,615815,615998,616170,616339,616489,616660,
100610,33,1294,7532,20769,40061,63314,88467,114090,139531,164223,187447,209215,229541,248695,266429,283055,298216,312410,325682,338079,349591,360201,370145,379580,388165,396428,403948,411100,417848,424285,430085,435716,440822,445802,450516,454981,459109,463039,466828,470386,473703,476902,479930,482822,485475,487910,490307,492667,494908,496949,498976,500896,502712,504434,506078,507742,509328,510878,512272,513636,514890,516041,517168,518245,519292,520350,521300,522289,523205,524118,524978,525838,526661,527435,528175,528899,529624,530266,530912,531547,532135,532664,533184,533711,534231,534720,535177,535636,536091,536513,536962,537372,537765,538146,538497,538828,539135,539440,539727,540027,540337,540616,540872,541130,541381,541615,541847,542061,542261,542461,542647,542828,542985,543150,543325,543489,543648,543819,543980,
100620,6,517,3548,11250,23852,40420,58984,78936,99193,119377,139019,157545,175201,191790,207401,222114,235762,248631,260692,271804,282337,292315,301715,310358,318520,326100,333218,339917,346234,352166,357875,363080,368080,372853,377308,381489,385389,389145,392724,396191,399434,402594,405432,408201,410900,413477,415910,418212,420460,422493,424530,426434,428270,429995,431711,433340,434787,436193,437579,438867,440118,441316,442476,443614,444701,445744,446660,447639,448586,449403,450279,451100,451855,452610,453295,453996,454694,455335,455973,456514,457081,457643,458207,458747,459266,459771,460262,460723,461140,461576,461960,462370,462702,463064,463425,463780,464117,464432,464714,464997,465288,465572,465828,466095,466320,466591,466835,467040,467246,467437,467619,467819,467992,468173,468345,468518,468663,468794,468960,
100630,2,176,1494,5483,12976,23295,35952,50005,65217,80764,96003,110970,125539,139366,152420,164812,176732,187829,198299,208445,217777,226617,235069,242931,250443,257476,264026,270279,276201,281815,287117,292075,296637,300985,305329,309322,313033,316600,319990,323220,326204,329121,331874,334497,337081,339419,341720,343937,346053,348055,349912,351772,353506,355244,356823,358284,359724,361136,362473,363783,365050,366187,367273,368391,369436,370447,371417,372392,373298,374175,375030,375793,376561,377320,377971,378623,379297,379937,380532,381109,381657,382226,382798,383332,383822,384285,384771,385244,385695,386082,386483,386856,387200,387570,387914,388241,388558,388851,389146,389405,389702,389950,390229,390488,390727,390971,391196,391423,391646,391848,392035,392219,392411,392580,392764,392933,393118,393294,393426,
100640,4,90,947,3685,8832,16652,26783,38262,50682,63675,76731,89901,102475,114967,126782,138143,149051,159320,169037,178133,186850,195097,202942,210398,217403,223972,230203,236197,241938,247177,252101,256937,261426,265677,269613,273434,277042,280504,283757,286910,289905,292709,295382,298026,300396,302746,304966,307071,309106,311064,312881,314617,316370,317940,319504,320926,322348,323774,325070,326301,327562,328727,329840,330938,331974,332985,333977,334920,335782,336646,337460,338241,339006,339744,340429,341131,341761,342397,342972,343576,344093,344627,345124,345654,346140,346609,347029,347476,347915,348311,348723,349081,349431,349802,350133,350452,350789,351104,351356,351661,351958,352239,352487,352743,352964,353202,353424,353661,353854,354048,354238,354433,354639,354811,354965,355122,355274,355439,355616,
100650,0,31,425,2038,5523,11249,18968,28044,38121,48689,59761,70965,82033,92708,103011,113122,122760,132118,140968,149228,157228,164843,172080,178921,185452,191455,197356,202944,208079,212998,217618,222116,226312,230396,234215,237785,241283,244595,247728,250790,253633,256247,258778,261227,263644,265935,268081,270121,272132,273959,275710,277479,279114,280632,282156,283498,284884,286199,287542,288792,289881,291002,292094,293208,294145,295143,296070,296987,297861,298714,299502,300250,300941,301646,302296,302918,303522,304141,304743,305312,305891,306447,306926,307364,307806,308249,308670,309118,309538,309955,310345,310733,311095,311445,311798,312118,312434,312724,312992,313248,313510,313756,314024,314258,314487,314718,314925,315150,315362,315570,315754,315943,316134,316306,316485,316670,316820,316958,317134,
100660,0,12,213,1164,3252,7104,12439,19155,26924,35361,44289,53384,62536,71509,80514,89133,97336,105338,113122,120614,127648,134380,140927,147071,152885,158601,163929,169036,173932,178517,182914,187120,191056,194797,198343,201774,204987,208101,211076,213851,216467,219003,221512,223816,226080,228141,230121,232059,233920,235731,237407,239022,240564,242029,243516,244887,246235,247492,248786,249954,251115,252181,253236,254251,255211,256105,256956,257744,258578,259384,260158,260924,261614,262300,262906,263548,264145,264736,265280,265806,266348,266840,267293,267754,268168,268604,269012,269422,269807,270190,270579,270958,271317,271657,271957,272271,272548,272856,273142,273387,273668,273912,274176,274403,274639,274870,275084,275282,275493,275714,275910,276093,276266,276450,276601,276748,276906,277046,277200,
100670,0,1,82,535,1730,4094,7589,12202,17787,24144,30963,38214,45466,52696,60153,67476,74614,81561,88266,94691,100773,106711,112390,117853,123061,127958,132771,137413,141805,146016,149953,153797,157410,160838,164115,167253,170334,173133,175809,178361,180850,183242,185568,187748,189836,191794,193688,195600,197379,199088,200679,202240,203658,205030,206438,207755,208975,210266,211452,212585,213677,214668,215652,216571,217477,218322,219153,220009,220824,221590,222325,223031,223730,224397,225012,225642,226197,226725,227253,227775,228336,228843,229327,229804,230261,230687,231088,231451,231842,232217,232574,232968,233305,233616,233977,234284,234585,234869,235141,235391,235659,235926,236186,236406,236631,236846,237048,237230,237425,237618,237824,238012,238174,238330,238496,238662,238805,238948,239083,
100680,0,1,43,334,1119,2742,5308,8905,13296,18516,24124,30147,36185,42579,48956,55309,61598,67796,73754,79641,85247,90678,95871,100888,105585,110140,114668,118927,123056,126887,130558,134183,137468,140720,143890,146905,149727,152392,154996,157485,159787,162042,164252,166301,168273,170177,171975,173670,175359,176951,178466,179880,181310,182673,183958,185172,186332,187463,188623,189641,190655,191587,192514,193379,194244,195067,195860,196664,197415,198152,198889,199599,200222,200892,201537,202102,202697,203231,203721,204210,204707,205194,205658,206100,206532,206945,207334,207714,208103,208436,208817,209189,209507,209819,210089,210365,210644,210913,211169,211436,211654,211890,212135,212348,212560,212769,212970,213159,213369,213567,213735,213897,214041,214212,214391,214533,214658,214809,214936,
100690,0,0,27,217,722,1871,3679,6339,9678,13714,18261,23105,28192,33494,38731,44200,49559,54796,60156,65189,70238,75022,79685,84169,88576,92710,96742,100566,104204,107803,111305,114650,117770,120775,123634,126348,128922,131438,133772,136170,138333,140459,142469,144520,146311,148026,149715,151431,153036,154622,156028,157486,158815,160084,161347,162569,163703,164847,165907,166887,167869,168827,169715,170637,171458,172254,173063,173804,174541,175272,175996,176612,177224,177849,178451,178999,179570,180071,180585,181073,181531,182022,182478,182885,183317,183713,184104,184480,184850,185171,185522,185823,186147,186431,186723,187025,187297,187573,187835,188075,188284,188493,188705,188918,189144,189336,189539,189728,189910,190088,190256,190410,190569,190745,190908,191061,191213,191344,191471,
100700,0,0,13,97,387,1061,2271,4093,6492,9478,12946,16798,20846,25213,29727,34220,38651,43096,47540,51921,56242,60515,64622,68514,72350,76153,79783,83287,86629,89813,92879,95856,98786,101541,104136,106647,109098,111407,113562,115697,117744,119632,121467,123291,125078,126707,128307,129744,131226,132659,134129,135456,136706,137912,139079,140179,141322,142351,143398,144283,145248,146095,146954,147830,148625,149405,150162,150866,151537,152174,152807,153443,154059,154637,155189,155727,156249,156690,157150,157625,158080,158519,158971,159381,159785,160176,160571,160929,161244,161566,161862,162171,162483,162762,163016,163289,163551,163806,164015,164265,164473,164694,164898,165097,165290,165480,165670,165849,166027,166184,166320,166491,166643,166810,166968,167095,167231,167358,167477,
100710,0,0,2,32,176,564,1265,2430,4069,6159,8637,11540,14696,18113,21657,25308,28988,32668,36442,40104,43681,47222,50780,54250,57506,60725,63834,66892,69903,72778,75485,78154,80654,83104,85349,87544,89733,91759,93769,95751,97654,99459,101133,102849,104424,105966,107485,108924,110316,111613,112866,114020,115244,116345,117458,118498,119525,120505,121437,122342,123194,124028,124845,125662,126384,127113,127825,128494,129090,129756,130355,130938,131485,132008,132531,133024,133511,134003,134481,134947,135358,135762,136140,136554,136960,137327,137676,137995,138334,138649,138972,139260,139532,139799,140068,140342,140592,140827,141084,141330,141543,141753,141956,142133,142331,142526,142690,142886,143048,143210,143374,143528,143672,143818,143946,144079,144214,144346,144469,
100720,0,0,0,13,86,278,674,1378,2381,3659,5372,7334,9538,11998,14621,17362,20221,23072,25999,28932,31855,34724,37437,40283,43044,45719,48390,50847,53274,55775,58144,60435,62560,64646,66616,68672,70644,72503,74327,76014,77666,79202,80731,82175,83649,84969,86253,87529,88718,89891,91026,92116,93100,94086,95082,96013,96916,97778,98602,99415,100218,100993,101697,102384,103032,103686,104306,104921,105500,106094,106665,107241,107762,108269,108733,109247,109685,110123,110546,110926,111322,111705,112064,112445,112815,113145,113484,113806,114116,114408,114680,114944,115186,115436,115662,115903,116138,116382,116614,116857,117053,117240,117423,117603,117791,117971,118140,118308,118457,118623,118777,118905,119042,119170,119302,119438,119574,119690,119824,
100730,0,0,0,7,32,129,324,709,1329,2135,3238,4542,6056,7727,9595,11677,13817,16026,18208,20401,22664,25009,27219,29467,31700,33894,36098,38257,40405,42477,44455,46331,48271,50058,51816,53484,55089,56641,58248,59716,61077,62450,63729,64965,66228,67512,68682,69810,70844,71931,72939,73887,74819,75763,76606,77430,78220,78983,79740,80457,81151,81833,82486,83106,83760,84390,84970,85525,86058,86607,87111,87590,88103,88549,88984,89453,89868,90300,90698,91069,91448,91812,92136,92483,92800,93136,93433,93763,94044,94302,94564,94801,95075,95331,95553,95766,95979,96180,96373,96554,96736,96924,97093,97261,97462,97630,97783,97938,98072,98195,98323,98467,98587,98724,98826,98965,99064,99174,99286,
100740,0,0,0,0,9,48,138,318,642,1103,1744,2528,3507,4630,5940,7320,8762,10223,11834,13501,15237,17020,18750,20442,22237,24023,25688,27359,29098,30718,32297,33849,35301,36803,38247,39678,41007,42294,43581,44870,46124,47320,48376,49428,50513,51486,52506,53453,54364,55297,56170,56999,57790,58573,59325,60091,60820,61520,62168,62799,63417,64053,64620,65208,65740,66272,66861,67313,67769,68250,68672,69127,69550,69935,70327,70684,71045,71424,71761,72069,72376,72715,73036,73344,73637,73915,74204,74478,74742,74996,75220,75444,75656,75860,76070,76240,76444,76639,76812,76985,77152,77322,77477,77625,77771,77922,78064,78187,78322,78434,78565,78699,78838,78948,79049,79151,79248,79337,79440,
100750,0,0,0,0,1,11,48,116,217,423,690,1077,1571,2136,2817,3644,4607,5523,6543,7591,8671,9829,11033,12210,13336,14592,15763,16969,18095,19278,20420,21609,22749,23842,24959,25996,27020,28084,29102,30123,31104,32050,32999,33844,34694,35518,36326,37112,37895,38617,39354,40065,40708,41329,41971,42586,43175,43738,44301,44807,45370,45884,46401,46872,47342,47790,48207,48643,49038,49419,49819,50171,50497,50843,51180,51487,51806,52095,52386,52678,52948,53220,53502,53730,53969,54209,54412,54630,54834,55038,55272,55473,55650,55840,56007,56174,56341,56482,56650,56787,56928,57085,57217,57342,57471,57587,57694,57796,57918,58057,58169,58284,58379,58475,58580,58685,58778,58885,58961,
100760,0,0,0,0,0,3,8,28,50,96,193,334,512,746,1039,1425,1821,2289,2765,3321,3944,4585,5189,5856,6555,7204,7951,8659,9387,10115,10826,11578,12369,13090,13769,14502,15166,15880,16524,17183,17837,18464,19027,19656,20208,20794,21362,21915,22467,22992,23568,24046,24519,25004,25438,25883,26333,26768,27214,27614,27997,28393,28737,29102,29473,29829,30154,30506,30788,31117,31415,31749,32022,32288,32537,32792,33029,33291,33520,33736,33940,34150,34338,34530,34703,34899,35066,35276,35447,35614,35765,35925,36075,36232,36389,36526,36670,36813,36948,37068,37174,37313,37410,37517,37623,37728,37852,37957,38036,38131,38207,38311,38399,38458,38544,38620,38689,38776,38849,
100770,1198,13457,43205,85627,133334,181180,226637,269030,307730,343145,375004,404083,429699,453130,474390,493684,511618,527890,543006,556672,569308,581053,591822,601757,611202,619689,627566,635082,642079,648454,654664,660221,665664,670845,675582,680071,684255,688255,691915,695523,698888,702042,705014,707770,710532,713090,715422,717727,719927,722022,723966,725869,727714,729414,731031,732579,734085,735440,736787,738020,739251,740466,741617,742729,743762,744791,745721,746629,747498,748369,749191,749945,750680,751378,752079,752732,753390,754059,754663,755200,755693,756252,756761,757264,757737,758146,758590,759048,759475,759895,760297,760671,761026,761349,761695,762010,762311,762635,762936,763200,763470,763729,763964,764214,764455,764651,764865,765083,765297,765497,765694,765887,766059,766210,766389,766549,766707,766846,766964,
100780,225,4502,18622,42513,72513,105336,138762,170976,201597,230494,257277,282075,304568,325515,344753,362537,378728,393813,407721,420502,432500,443462,453633,463254,472027,480292,487882,495185,502115,508596,514515,520134,525447,530419,535065,539479,543626,547491,551186,554638,557994,561194,564165,567015,569734,572291,574807,577117,579287,581390,583307,585264,587118,588851,590536,592059,593547,594949,596329,597690,598928,600066,601299,602469,603570,604578,605569,606478,607410,608269,609100,609860,610666,611434,612124,612825,613509,614158,614812,615378,615914,616433,616930,617404,617927,618409,618865,619273,619692,620103,620511,620896,621237,621587,621929,622284,622611,622916,623221,623506,623769,624049,624319,624568,624767,624992,625201,625405,625616,625836,626036,626208,626362,626530,626708,626861,627037,627191,627336,
100790,73,2174,10723,26891,49044,74709,101649,128704,154885,179777,203263,225360,245917,265058,282628,299092,314310,328177,341203,353404,364652,375272,384941,394052,402683,410584,418163,425139,431659,437870,443832,449311,454341,459191,463690,468096,472100,475947,479494,482935,486198,489263,492165,494932,497638,500175,502532,504830,506951,509103,511109,513069,514834,516502,518213,519773,521299,522684,524077,525391,526646,527837,529065,530238,531246,532239,533209,534148,535111,535995,536789,537599,538378,539117,539835,540564,541234,541848,542458,543008,543606,544156,544671,545120,545567,546008,546531,546954,547388,547835,548219,548618,548983,549302,549640,549964,550289,550573,550845,551124,551455,551721,551967,552208,552428,552653,552874,553105,553321,553510,553736,553916,554103,554262,554447,554623,554770,554924,555080,
100800,28,982,5499,15345,30218,48756,69468,90688,112012,132798,152727,171647,189296,205926,221736,236382,250041,263056,275175,286114,296646,306392,315476,324030,332064,339618,346730,353474,359845,365687,371203,376433,381348,386073,390494,394645,398634,402324,405844,409223,412475,415492,418351,421071,423673,426128,428376,430616,432740,434729,436669,438540,440330,441996,443669,445249,446743,448104,449440,450701,451902,453080,454243,455361,456379,457366,458363,459295,460165,460999,461780,462588,463356,464054,464773,465417,466030,466627,467237,467799,468397,468980,469523,470036,470584,471075,471551,472024,472442,472867,473267,473642,474011,474358,474704,475022,475338,475645,475930,476209,476473,476724,476983,477222,477470,477681,477932,478143,478362,478564,478758,478931,479123,479325,479496,479664,479832,479972,480118,
100810,2,338,2364,7818,16716,28872,43057,58680,74958,91084,106989,122356,137152,151338,164775,177566,189487,200870,211516,221476,230815,239740,247849,255608,262776,269793,276291,282392,288262,293799,298982,303838,308438,312878,317001,320932,324700,328261,331497,334625,337634,340416,343204,345847,348412,350880,353225,355344,357436,359446,361219,363008,364665,366302,367888,369403,370903,372354,373763,374980,376202,377332,378361,379443,380465,381416,382397,383294,384203,385105,385895,386624,387402,388148,388831,389495,390163,390801,391427,391985,392520,393065,393610,394111,394616,395048,395494,395914,396359,396780,397166,397550,397914,398238,398575,398927,399253,399569,399826,400120,400383,400686,400956,401190,401419,401656,401870,402111,402313,402506,402697,402880,403075,403251,403424,403603,403768,403916,404057,
100820,2,170,1403,4857,11503,20824,32278,45090,58732,72510,86396,99873,113156,125929,138003,149348,160275,170561,180191,189435,198231,206529,214336,221763,228855,235222,241399,247317,252908,258153,263063,267643,272102,276312,280309,284069,287755,291155,294362,297351,300265,303107,305814,308346,310869,313161,315329,317404,319413,321301,323072,324830,326519,328123,329617,331067,332508,333854,335156,336381,337628,338676,339718,340732,341796,342736,343611,344522,345393,346223,347036,347784,348530,349234,349905,350501,351135,351751,352318,352900,353455,353997,354524,355008,355488,355943,356387,356833,357273,357672,358064,358429,358792,359111,359463,359815,360105,360359,360634,360886,361122,361407,361646,361888,362111,362334,362559,362756,362960,363146,363359,363562,363748,363934,364130,364283,364437,364595,364752,
100830,0,73,741,3027,7566,14395,23141,33204,44188,55633,67502,79079,90572,101907,112681,122861,132655,141887,150705,159073,167153,174954,182309,189241,195620,201780,207653,213096,218284,223253,228011,232354,236540,240519,244232,247853,251274,254511,257631,260594,263380,265996,268598,270979,273306,275573,277664,279628,281538,283362,285107,286806,288474,290051,291538,292937,294275,295653,296938,298081,299266,300365,301445,302446,303383,304342,305260,306193,307108,307907,308668,309395,310112,310798,311439,312125,312715,313304,313878,314445,314968,315494,315970,316441,316941,317386,317833,318289,318685,319067,319441,319781,320134,320499,320847,321179,321470,321753,322054,322329,322596,322832,323085,323323,323536,323749,323980,324184,324390,324587,324809,324978,325166,325345,325522,325668,325826,325973,326135,
100840,1,22,354,1641,4506,9173,15474,23095,31629,40697,50045,59743,69393,78935,88234,97074,105649,113783,121844,129253,136513,143306,149775,156015,161958,167581,172920,178016,182960,187653,192005,196215,200134,203848,207427,210734,213981,217047,220019,222715,225322,227872,230327,232696,234973,237127,239260,241149,243005,244738,246350,248004,249555,251029,252429,253800,255111,256338,257497,258643,259717,260769,261751,262778,263722,264624,265518,266445,267232,268032,268794,269547,270215,270885,271465,272089,272699,273300,273868,274426,274922,275376,275871,276335,276786,277253,277666,278080,278463,278881,279258,279620,279951,280296,280625,280947,281244,281502,281767,282038,282294,282527,282775,283002,283229,283472,283674,283892,284088,284295,284501,284682,284852,285039,285185,285364,285517,285652,285796,
100850,0,13,161,818,2506,5554,9826,15364,21673,28787,36096,43758,51657,59323,66992,74516,81886,88896,95818,102238,108453,114526,120327,125904,131117,136123,141037,145695,150088,154280,158274,162088,165640,169107,172505,175537,178521,181281,184029,186589,189099,191497,193758,195899,197994,199899,201775,203625,205421,207104,208690,210209,211614,213016,214349,215580,216738,217930,219078,220195,221257,222327,223271,224212,225157,226014,226848,227611,228377,229134,229878,230604,231281,231956,232578,233154,233721,234251,234804,235315,235827,236286,236763,237198,237581,238027,238451,238863,239246,239621,239997,240347,240671,240984,241293,241576,241857,242136,242407,242665,242897,243144,243375,243601,243805,243998,244212,244420,244626,244799,244960,245140,245323,245492,245651,245800,245944,246080,246224,
100860,0,2,102,553,1654,3785,6931,11179,16313,22087,28254,34711,41443,48231,54937,61533,68025,74294,80404,86315,92043,97548,102741,107923,112878,117556,122075,126376,130430,134297,137985,141615,144979,148251,151351,154341,157183,159883,162495,164941,167296,169514,171746,173783,175805,177649,179437,181215,182909,184455,185968,187474,188890,190280,191616,192841,194086,195201,196336,197369,198378,199360,200294,201186,202072,202934,203758,204547,205290,206042,206738,207403,208038,208692,209285,209916,210477,210999,211538,212030,212505,212955,213411,213857,214293,214693,215069,215428,215799,216172,216518,216850,217153,217480,217765,218073,218364,218616,218903,219179,219412,219658,219859,220072,220258,220460,220688,220923,221114,221300,221458,221639,221800,221968,222104,222255,222400,222540,222658,
100870,0,3,54,309,1064,2491,4819,7898,11763,16331,21264,26578,32158,37986,43849,49440,55124,60704,66219,71472,76630,81586,86343,90968,95406,99614,103810,107743,111445,115026,118424,121785,124915,127942,130839,133542,136153,138647,141109,143416,145693,147769,149746,151684,153542,155317,157010,158661,160249,161831,163275,164666,166034,167343,168655,169781,170894,171951,172989,174017,175020,175997,176937,177792,178587,179380,180148,180928,181661,182342,183022,183670,184312,184917,185514,186058,186548,187097,187568,188041,188478,188933,189386,189810,190226,190578,190922,191301,191635,191972,192313,192635,192939,193221,193524,193826,194084,194320,194581,194835,195091,195311,195546,195753,195958,196149,196347,196519,196704,196880,197091,197246,197395,197551,197718,197874,198013,198151,198299,
100880,0,0,18,163,561,1502,3043,5264,8118,11530,15363,19586,23978,28604,33314,38133,42940,47685,52464,57056,61592,65932,70100,74106,77975,81724,85450,88934,92336,95535,98721,101647,104566,107292,109883,112411,114827,117236,119436,121582,123641,125642,127453,129323,131035,132647,134242,135821,137268,138662,140001,141298,142517,143679,144873,145998,147092,148123,149152,150127,151053,151968,152831,153627,154380,155120,155849,156556,157226,157863,158514,159147,159758,160364,160925,161449,161971,162459,162972,163423,163845,164272,164690,165070,165454,165851,166221,166560,166861,167212,167548,167834,168103,168392,168675,168962,169222,169499,169777,170019,170247,170463,170665,170864,171080,171261,171462,171645,171816,171990,172166,172338,172500,172661,172794,172963,173113,173250,173377,
100890,0,1,8,69,283,812,1789,3291,5312,7737,10541,13691,17120,20755,24571,28405,32257,36228,40108,43897,47593,51305,54777,58309,61623,64961,68150,71197,74153,77002,79800,82502,85052,87429,89712,91987,94274,96371,98474,100500,102385,104248,105940,107638,109295,110781,112254,113674,115056,116372,117651,118899,120073,121181,122278,123307,124278,125267,126190,127170,127991,128797,129586,130359,131106,131788,132457,133182,133801,134436,135028,135569,136145,136672,137174,137670,138149,138601,139032,139441,139849,140256,140656,141036,141400,141737,142117,142439,142798,143120,143399,143665,143909,144167,144437,144734,144958,145197,145415,145655,145873,146082,146310,146532,146714,146881,147065,147256,147409,147561,147742,147885,148034,148170,148312,148449,148586,148720,148859,
100900,0,0,1,22,140,402,936,1838,3154,4652,6634,8956,11420,14170,17099,20076,23171,26273,29254,32326,35285,38374,41420,44373,47190,49879,52556,55058,57640,60131,62494,64811,67058,69108,71157,73097,75048,76913,78690,80426,82110,83725,85324,86857,88290,89641,90958,92198,93394,94593,95756,96823,97880,98923,99915,100823,101724,102560,103453,104245,105000,105756,106465,107121,107823,108467,109112,109702,110271,110863,111412,111929,112479,112939,113443,113909,114348,114794,115216,115614,116006,116411,116781,117141,117522,117847,118209,118542,118837,119145,119457,119726,120012,120254,120513,120769,120984,121193,121421,121624,121809,121982,122169,122346,122538,122695,122877,123038,123191,123348,123496,123651,123797,123941,124072,124183,124302,124419,124514,
100910,0,0,1,15,61,186,478,926,1678,2699,3998,5545,7225,9263,11336,13551,15787,18096,20505,22874,25367,27748,30080,32338,34620,36901,39109,41146,43261,45346,47416,49434,51368,53163,54967,56704,58352,60000,61532,63072,64495,65892,67287,68612,69872,71045,72217,73380,74423,75516,76578,77624,78538,79399,80279,81113,81920,82728,83483,84248,85001,85702,86374,87015,87613,88173,88767,89343,89915,90452,90935,91406,91872,92353,92790,93207,93632,94033,94401,94776,95139,95476,95791,96126,96458,96778,97080,97366,97659,97931,98201,98457,98688,98936,99182,99420,99635,99818,100001,100216,100382,100560,100735,100903,101090,101276,101416,101553,101716,101851,101982,102110,102242,102370,102506,102608,102710,102827,102938,
100920,0,0,0,2,20,72,190,436,777,1348,2130,2999,4133,5337,6713,8232,9862,11538,13269,15024,16808,18598,20412,22262,24074,25896,27592,29274,31030,32730,34350,35958,37536,39042,40513,41929,43314,44666,46002,47242,48480,49675,50762,51869,52930,53959,54983,55968,56913,57766,58631,59405,60236,60983,61737,62537,63323,64024,64671,65318,65971,66600,67197,67811,68371,68869,69373,69854,70355,70805,71222,71655,72067,72481,72892,73258,73652,73996,74352,74690,75057,75403,75721,75999,76267,76543,76823,77113,77343,77583,77839,78065,78309,78516,78709,78900,79117,79298,79491,79662,79821,79993,80179,80336,80480,80638,80781,80908,81027,81152,81271,81396,81505,81619,81728,81829,81934,82029,82111,
100930,0,0,0,0,3,11,55,140,276,539,902,1372,1978,2675,3462,4332,5317,6367,7441,8594,9779,11018,12215,13477,14793,16078,17317,18633,19878,21114,22410,23664,24861,26105,27282,28343,29457,30514,31536,32565,33537,34461,35373,36232,37098,37957,38797,39549,40285,41021,41715,42420,43088,43764,44397,44984,45574,46151,46716,47303,47840,48348,48872,49330,49827,50255,50676,51102,51501,51917,52311,52706,53066,53387,53720,54043,54353,54672,54975,55246,55473,55752,56005,56238,56483,56705,56927,57173,57390,57602,57806,58016,58209,58392,58589,58751,58929,59093,59256,59429,59608,59750,59884,60008,60143,60284,60400,60513,60618,60719,60824,60939,61031,61133,61233,61332,61439,61519,61593,
100940,0,0,0,0,0,3,14,30,70,143,257,415,636,918,1248,1659,2132,2636,3155,3759,4426,5122,5858,6554,7338,8135,8910,9647,10453,11270,12062,12850,13645,14384,15108,15872,16577,17290,18010,18683,19353,19991,20626,21245,21795,22418,22994,23554,24109,24670,25258,25741,26240,26704,27111,27577,28044,28471,28895,29291,29732,30120,30497,30866,31233,31560,31891,32207,32521,32855,33146,33425,33704,33982,34240,34462,34717,34978,35191,35413,35653,35837,36050,36245,36427,36630,36818,37004,37170,37351,37513,37672,37806,37958,38113,38246,38407,38550,38694,38806,38933,39028,39155,39266,39375,39478,39582,39682,39788,39866,39963,40042,40116,40186,40260,40357,40429,40489,40565,
100951,2058,18506,54144,100682,150997,200206,246459,288804,327267,361864,393270,421652,447326,470307,491206,510114,527665,543398,558023,571408,583780,595097,605776,615560,624406,632797,640466,647722,654461,660758,666511,672040,677234,682095,686694,690963,695110,699020,702551,705968,709255,712257,715208,717962,720511,723042,725487,727778,729941,731943,733966,735861,737572,739199,740771,742310,743691,745098,746443,747731,748996,750156,751295,752379,753396,754392,755336,756232,757115,757973,758780,759543,760246,760942,761616,762282,762911,763508,764065,764623,765177,765682,766182,766634,767142,767591,768015,768397,768828,769228,769614,769987,770330,770669,771013,771316,771611,771884,772154,772438,772687,772952,773162,773376,773591,773798,774017,774194,774362,774577,774750,774903,775079,775255,775430,775593,775731,775876,776013,
100961,452,6343,23929,51228,84045,119035,153777,187170,218272,247363,274122,298681,321281,341906,360974,378438,394454,409343,422852,435199,446687,457328,467566,476766,485538,493652,501313,508324,514856,521216,526987,532241,537238,542106,546658,551011,555218,558964,562512,565965,569204,572275,575096,577804,580409,582879,585332,587542,589704,591654,593608,595485,597325,599008,600605,602074,603593,604977,606306,607600,608813,610013,611178,612294,613361,614368,615358,616313,617180,618029,618851,619652,620408,621137,621798,622495,623129,623758,624361,624954,625481,626059,626566,627049,627552,628030,628434,628856,629252,629670,630020,630402,630759,631101,631444,631782,632093,632397,632676,632966,633209,633449,633701,633954,634146,634365,634579,634777,634967,635169,635387,635575,635750,635940,636096,636245,636387,636531,636690,
100970,161,3321,14234,33208,57907,85572,114168,142171,169369,194683,218573,240598,261105,279848,297374,313756,328688,342631,355616,367600,378529,388846,398415,407501,415860,423618,430853,437669,444131,450160,455886,461238,466183,471037,475353,479533,483498,487244,490690,494132,497278,500270,503207,506047,508652,511116,513535,515737,517935,520009,521925,523767,525502,527151,528772,530278,531723,533128,534446,535698,536996,538184,539407,540466,541500,542550,543592,544460,545346,546146,547011,547776,548544,549311,549997,550670,551291,551871,552446,552984,553530,554063,554569,555053,555575,555993,556422,556830,557298,557705,558101,558487,558823,559200,559523,559833,560119,560409,560713,560987,561251,561490,561756,561969,562222,562447,562661,562867,563079,563290,563487,563697,563858,564025,564205,564367,564536,564687,564866,
100980,59,1441,7441,19291,36351,56755,78702,101287,123606,144996,165415,184653,202667,219479,235265,249866,263818,276809,288562,299643,309945,319562,328451,336857,344822,352113,359194,365762,371999,377694,383239,388491,393319,397741,402161,406314,410181,413942,417351,420646,423744,426730,429513,432220,434770,437197,439446,441613,443730,445734,447655,449533,451297,453007,454576,456090,457522,458842,460125,461471,462646,463832,464968,466060,467072,468101,469049,469912,470807,471660,472412,473246,473944,474673,475381,476044,476663,477310,477899,478455,479006,479561,480070,480515,481009,481442,481930,482369,482771,483199,483609,483974,484336,484725,485054,485370,485650,485955,486243,486501,486750,487005,487250,487489,487742,487978,488198,488376,488582,488790,488986,489155,489336,489523,489691,489846,489998,490162,490311,
100990,15,522,3346,10070,20642,34262,49883,66620,83703,101049,117376,133333,148328,162902,176390,189130,201063,212361,222885,232988,242397,251126,259316,267193,274369,281209,287553,293771,299446,304942,310011,314950,319407,323677,327896,331787,335430,338909,342224,345396,348359,351197,353883,356435,358809,361067,363342,365495,367535,369508,371394,373080,374741,376388,377895,379367,380856,382246,383534,384740,385923,387105,388190,389294,390255,391238,392200,393144,393968,394795,395624,396417,397156,397850,398541,399155,399800,400354,400946,401559,402086,402618,403135,403602,404066,404507,404937,405405,405821,406224,406648,407021,407395,407740,408064,408403,408713,409008,409323,409611,409890,410180,410430,410682,410903,411121,411342,411553,411755,411950,412130,412324,412499,412677,412851,413016,413192,413351,413496,
101000,3,269,2049,6718,14502,25098,37610,51400,65912,80619,94948,109056,122703,135851,148271,159909,171030,181369,191200,200570,209231,217404,225246,232699,239559,246127,252309,258159,263614,268653,273427,278114,282520,286630,290644,294276,297845,301222,304496,307533,310374,313107,315787,318295,320743,323043,325120,327235,329168,331060,332774,334510,336154,337698,339232,340664,342084,343429,344748,345993,347107,348224,349355,350361,351333,352317,353237,354089,354949,355787,356571,357332,358096,358776,359415,360018,360642,361195,361822,362363,362904,363357,363861,364327,364810,365258,365676,366113,366520,366926,367357,367702,368075,368414,368745,369063,369391,369692,369988,370270,370539,370810,371049,371290,371501,371744,371952,372180,372367,372583,372773,372953,373137,373309,373444,373573,373730,373887,374037,
101010,4,141,1209,4224,9680,17615,27322,38611,50496,62815,75165,87250,99290,110618,121511,132049,142135,151588,160572,169118,177169,184725,191985,198827,205303,211443,217260,222862,228044,232855,237529,241898,246073,250058,253785,257319,260657,263830,266829,269784,272670,275424,277979,280310,282546,284826,286884,288966,290814,292581,294334,296083,297690,299196,300686,302074,303386,304644,305880,307079,308218,309390,310445,311435,312366,313271,314157,314991,315826,316622,317395,318106,318848,319543,320201,320849,321444,322063,322625,323164,323675,324204,324685,325149,325611,326030,326493,326891,327311,327736,328113,328440,328789,329118,329451,329750,330078,330341,330607,330873,331136,331383,331628,331864,332077,332309,332511,332740,332942,333128,333288,333455,333634,333810,333966,334120,334280,334440,334593,
101020,1,68,608,2431,6026,11569,18850,27371,36769,46573,56434,66728,76860,86689,96152,105413,114248,122685,130724,138420,145797,152589,159107,165355,171306,176838,182265,187349,192419,197051,201404,205581,209456,213181,216668,220045,223218,226254,229139,231861,234442,237113,239532,241817,244009,246117,248160,250060,251975,253763,255490,257043,258580,260039,261482,262794,264143,265425,266613,267808,268919,269982,271013,271979,272881,273766,274702,275539,276353,277147,277932,278641,279315,280016,280622,281205,281823,282405,282949,283459,283937,284432,284910,285363,285780,286229,286647,287051,287431,287809,288212,288567,288901,289255,289572,289879,290167,290452,290697,290964,291199,291460,291686,291897,292113,292350,292564,292775,292989,293158,293350,293504,293669,293826,293979,294139,294317,294461,294599,
101030,0,22,267,1232,3370,6919,11828,18064,25180,32810,40797,48943,57214,65285,73176,80773,88314,95686,102693,109363,115929,122065,127934,133527,138866,143918,148801,153443,157742,162064,166107,169860,173413,176850,180251,183392,186327,189169,191869,194447,196899,199298,201529,203766,205832,207726,209619,211447,213091,214798,216390,217934,219354,220769,222146,223354,224538,225729,226849,228015,229069,230032,231002,231980,232857,233698,234549,235350,236127,236898,237603,238276,238938,239547,240145,240734,241297,241865,242386,242920,243384,243850,244313,244742,245142,245573,245970,246351,246735,247100,247458,247794,248103,248417,248745,249056,249372,249609,249879,250137,250380,250615,250821,251020,251247,251431,251653,251870,252068,252260,252441,252606,252749,252894,253065,253206,253369,253510,253675,
101040,0,6,151,760,2221,4798,8586,13371,19185,25555,32205,39204,46221,53213,60199,67024,73659,80044,86399,92367,98141,103763,109210,114297,119281,124091,128554,132817,136830,140655,144406,147976,151380,154588,157699,160599,163438,166155,168655,171061,173438,175736,177939,180030,181960,183848,185632,187320,189054,190688,192233,193721,195115,196487,197745,198974,200152,201304,202347,203403,204429,205388,206295,207151,208071,208911,209714,210479,211228,211996,212691,213340,214021,214669,215228,215803,216350,216887,217383,217881,218372,218833,219264,219684,220119,220545,220911,221300,221664,222013,222364,222668,223008,223302,223588,223878,224166,224414,224667,224924,225189,225430,225660,225882,226083,226281,226489,226673,226872,227048,227233,227395,227556,227701,227854,227999,228148,228280,228423,
101050,0,7,83,449,1379,3277,6068,9757,14189,19242,24682,30482,36365,42453,48478,54472,60501,66250,71946,77374,82508,87571,92426,97021,101424,105694,109971,113865,117580,121238,124712,128016,131177,134195,137028,139843,142545,145165,147570,149840,152005,154059,156116,158089,159940,161751,163478,165142,166677,168238,169639,171014,172407,173704,174922,176083,177213,178257,179354,180351,181288,182210,183075,183905,184714,185534,186345,187065,187788,188490,189177,189800,190431,191030,191599,192164,192686,193200,193683,194143,194576,195027,195445,195836,196256,196620,197016,197392,197722,198080,198401,198714,199038,199323,199567,199842,200103,200393,200628,200838,201095,201308,201548,201752,201958,202146,202339,202531,202722,202884,203047,203244,203402,203551,203704,203842,203968,204080,204205,
101060,0,2,30,210,753,1929,3852,6481,9720,13660,17910,22535,27314,32318,37252,42294,47193,52143,56949,61676,66245,70729,74940,79096,83075,86877,90609,94120,97534,100823,103943,106995,109861,112698,115296,117838,120342,122701,124972,127080,129099,131048,132994,134815,136478,138171,139733,141288,142707,144156,145534,146821,148047,149228,150383,151546,152616,153621,154657,155616,156523,157447,158253,159023,159809,160545,161270,161989,162668,163332,163980,164619,165230,165797,166404,166968,167539,168033,168495,168943,169360,169794,170229,170643,171032,171415,171748,172084,172445,172782,173100,173398,173667,173967,174228,174496,174754,175002,175249,175492,175720,175937,176123,176338,176543,176751,176948,177110,177279,177442,177622,177795,177987,178158,178315,178456,178600,178746,178877,
101070,0,1,8,107,414,1102,2231,3969,6202,9042,12175,15589,19347,23214,27139,31131,35186,39371,43389,47391,51301,55096,58724,62296,65746,69043,72349,75514,78557,81445,84234,86907,89516,92056,94427,96707,98928,101106,103119,105072,107008,108783,110483,112127,113774,115294,116679,118127,119444,120739,122052,123279,124432,125576,126723,127758,128688,129667,130625,131547,132362,133226,134037,134775,135559,136252,136928,137590,138230,138842,139434,140004,140590,141090,141634,142157,142645,143110,143576,144039,144440,144834,145216,145623,146019,146367,146764,147108,147450,147777,148076,148395,148674,148933,149213,149469,149688,149930,150170,150396,150598,150797,150983,151180,151384,151561,151745,151947,152127,152292,152436,152583,152733,152868,152987,153130,153259,153387,153505,
101080,0,0,4,38,157,535,1204,2274,3745,5584,7763,10223,12924,15682,18821,21946,25074,28345,31654,34829,38025,41197,44254,47206,50053,52909,55628,58358,60897,63379,65805,68150,70333,72467,74553,76596,78540,80451,82258,84035,85731,87303,88876,90370,91861,93277,94616,95828,97042,98239,99341,100461,101533,102555,103570,104504,105398,106297,107139,107959,108738,109496,110217,110980,111706,112358,112988,113572,114147,114719,115252,115794,116342,116832,117298,117758,118220,118641,119065,119469,119859,120237,120580,120976,121342,121667,122024,122313,122637,122934,123235,123510,123767,124022,124255,124495,124730,124948,125164,125382,125586,125791,125984,126157,126320,126486,126659,126811,126969,127132,127271,127412,127545,127688,127815,127928,128068,128192,128289,
101090,0,0,0,14,90,258,615,1266,2134,3243,4714,6443,8441,10497,12848,15207,17690,20255,22829,25407,27959,30478,32953,35317,37726,40084,42406,44654,46902,48987,51072,53072,55072,56986,58750,60537,62183,63802,65389,66925,68364,69812,71181,72484,73865,75110,76319,77469,78628,79682,80741,81754,82700,83645,84527,85410,86251,87071,87770,88515,89232,89884,90605,91296,91935,92565,93135,93734,94262,94751,95241,95743,96214,96668,97069,97502,97937,98302,98661,99048,99422,99769,100147,100488,100824,101116,101408,101688,101956,102221,102486,102740,102988,103226,103445,103655,103852,104088,104310,104496,104704,104903,105073,105262,105434,105584,105732,105893,106041,106200,106339,106484,106597,106722,106821,106926,107030,107152,107272,
101100,0,0,0,3,26,101,261,549,1010,1696,2554,3573,4805,6193,7758,9429,11171,12985,14813,16729,18655,20605,22445,24309,26224,28101,29881,31658,33388,35116,36862,38547,40151,41698,43224,44648,46064,47397,48767,50031,51291,52495,53698,54820,55918,57007,58017,59014,59918,60792,61683,62581,63432,64189,64968,65702,66436,67142,67827,68436,69091,69720,70277,70849,71361,71882,72427,72930,73421,73877,74344,74811,75235,75662,76042,76421,76805,77155,77521,77855,78184,78495,78811,79100,79376,79669,79962,80217,80464,80723,80957,81176,81408,81636,81856,82048,82232,82392,82577,82748,82915,83084,83260,83428,83569,83692,83829,83958,84096,84242,84365,84487,84616,84723,84834,84949,85046,85168,85250,
101110,0,0,0,0,5,29,77,203,384,678,1085,1652,2333,3105,3999,4963,6032,7171,8377,9563,10835,12216,13559,14881,16269,17624,19014,20288,21589,22855,24145,25359,26642,27836,28977,30114,31185,32273,33309,34357,35343,36341,37271,38166,39080,39957,40763,41573,42373,43087,43817,44569,45277,45932,46533,47215,47800,48384,48993,49513,50035,50547,51027,51502,51953,52434,52894,53285,53708,54107,54481,54871,55237,55576,55920,56257,56594,56895,57203,57484,57763,58040,58308,58554,58798,59029,59257,59465,59706,59871,60064,60264,60461,60627,60808,61018,61185,61335,61502,61663,61802,61946,62075,62207,62330,62458,62579,62704,62840,62966,63079,63190,63306,63404,63512,63598,63706,63775,63861,
101120,0,0,0,0,3,5,17,44,104,193,353,540,793,1103,1517,1992,2507,3078,3693,4344,4999,5720,6449,7188,7957,8748,9534,10349,11144,11938,12756,13569,14360,15163,15983,16721,17533,18253,19043,19774,20478,21135,21777,22450,23038,23706,24318,24944,25479,26040,26572,27086,27609,28117,28569,29042,29467,29910,30322,30680,31084,31493,31880,32271,32627,32965,33316,33641,33958,34292,34608,34892,35211,35472,35730,35976,36221,36485,36722,36953,37164,37370,37573,37772,37961,38157,38355,38537,38711,38889,39051,39198,39357,39522,39661,39794,39934,40060,40163,40283,40401,40521,40634,40741,40838,40939,41057,41160,41254,41361,41451,41551,41639,41726,41802,41878,41960,42029,42100};
const unsigned long sabrabsprob[1209600]