[{"0":0,"1":1,"5":5,"6":6,"7":7,"8":8,"9":9,"10":10,"11":11,"12":13,"13":16,"14":17,"15":18,"18":22,"21":25,"22":26,"23":27,"24":28,"25":30,"26":31,"28":33,"31":36,"32":37,"33":38,"34":40,"35":41,"36":42,"37":44,"38":45,"40":47,"44":52,"45":53,"47":55,"48":56,"49":57,"50":58,"51":59,"52":60,"54":62,"55":63,"56":64,"57":65,"58":67,"59":68,"60":69,"61":70,"62":71,"63":72,"64":73,"65":74,"66":75,"68":77,"69":78,"71":80,"72":81,"73":82,"74":83,"76":85,"78":87,"79":88,"81":90,"82":91,"83":92,"84":93,"85":94,"86":95,"87":96,"88":97,"89":98,"93":103,"94":104,"98":109,"100":111,"101":112,"102":113,"104":116,"107":119,"108":120,"109":121,"110":122,"111":123,"112":128,"114":131,"115":132,"117":134,"118":135,"120":138,"121":139,"122":140,"123":141,"124":142,"125":143,"127":146,"128":147,"129":148,"131":150,"132":151,"133":152,"134":153,"135":154,"136":155,"137":157,"138":158,"139":160,"140":161,"142":163,"143":165,"144":168,"145":169,"146":170,"147":171,"148":172,"150":174,"153":178,"154":179,"155":180,"156":181,"157":182,"158":183,"159":187,"162":190,"163":192,"166":195,"167":198,"168":199,"170":201,"171":202,"173":204,"175":207,"176":208,"177":209,"179":211,"181":213,"182":214,"183":215,"184":216,"186":218,"187":219,"188":220,"190":224,"191":225,"192":226,"193":227,"195":230,"196":231,"198":233,"199":234,"200":235,"201":236,"202":237,"204":239,"205":240,"207":242,"213":248,"214":249,"215":250,"216":251,"217":252,"218":253,"219":254,"220":256,"223":259,"224":260,"226":262,"227":263,"228":264,"229":265,"230":267,"231":268,"234":271,"237":275,"238":276,"239":277,"240":278,"241":279,"242":280,"243":281,"245":283,"246":284,"248":287,"250":289,"252":291,"254":294,"255":295,"256":296,"257":297,"258":298,"259":299,"260":300,"261":301,"262":302,"264":304,"269":309,"270":310,"271":311,"272":313,"273":314,"275":316,"276":317,"278":319,"279":320,"280":321,"281":322,"282":323,"284":325,"285":326,"287":328,"288":329,"291":332,"292":334,"293":335,"296":338,"297":339,"299":341,"300":343,"303":346,"305":349,"307":351,"308":352,"309":353,"310":354,"311":356,"312":357,"314":359,"315":360,"316":362,"318":364,"319":365,"321":368,"322":369,"323":370,"324":371,"325":373,"326":375,"327":376,"329":379,"330":380,"331":381,"332":384,"333":385,"334":386,"336":388,"337":389,"338":390,"339":391,"340":392,"341":393,"342":394,"345":397,"346":398,"348":400,"349":401,"350":402,"351":403,"352":404,"353":407,"354":408,"355":409,"356":411,"357":412,"358":413,"359":414,"360":415,"361":416,"362":417,"363":419,"364":420,"365":421,"367":423,"368":424,"369":426,"371":428,"372":429,"374":431,"375":432,"376":433,"377":434,"378":435,"379":436,"380":437,"381":439,"383":441,"384":442,"385":445,"387":447,"388":448,"390":450,"391":451,"393":454,"394":455,"395":456,"396":457,"397":458,"399":460,"401":462,"403":464,"404":465,"405":466,"406":467,"407":468,"408":469,"411":472,"413":474,"417":478,"419":480,"421":482,"423":484,"424":485,"425":486,"426":487,"427":488,"428":489,"429":490,"430":491,"431":493,"432":495,"435":499,"436":500,"437":501,"438":502,"440":506,"441":507,"443":509,"444":510,"446":512,"448":514,"451":517,"453":519,"454":520,"455":521,"456":522,"457":523,"459":525,"462":528,"463":529,"464":530,"465":531,"467":533,"468":534,"470":536,"471":537,"472":538,"476":542,"478":545,"479":546,"480":547,"481":548,"483":550,"486":553,"487":554,"489":556,"490":557,"491":558,"494":561,"495":562,"499":566,"500":567,"501":568,"504":571,"505":572,"507":574,"509":576,"510":577,"512":580,"514":583,"515":584,"516":585,"517":586,"518":587,"519":588,"520":589,"521":590,"523":593,"524":594,"527":599,"528":600,"529":601,"530":602,"531":603,"532":604,"533":605,"534":606,"535":607,"537":609,"538":610,"539":611,"540":612,"541":613,"544":617,"545":618,"546":619,"547":620,"549":623,"550":624,"554":628,"557":632,"560":635,"562":637,"563":638,"564":639,"565":640,"567":642,"569":644,"570":645,"571":646,"572":647,"574":649,"575":650,"576":651,"577":653,"578":655,"579":656,"580":658,"581":659,"582":661,"584":663,"585":664,"586":665,"587":666,"589":669,"590":670,"591":671,"593":673,"594":674,"595":675,"596":677,"597":678,"600":681,"601":682,"603":684,"604":685,"607":688,"608":689,"609":690,"611":692,"612":693,"614":695,"615":696,"616":697,"617":698,"618":699,"620":701,"621":702,"622":704,"623":706,"625":708,"627":711,"628":712,"629":713,"631":715,"632":717,"633":718,"634":719,"637":722,"638":723,"640":725,"641":726,"644":729,"645":730,"646":731,"648":734,"650":736,"651":737,"652":738,"653":740,"654":741,"655":742,"657":744,"658":746,"660":748,"662":750,"663":752,"664":753,"665":754,"666":755,"668":758,"669":759,"671":761,"672":762,"673":763,"674":764,"678":768,"679":769,"680":770,"681":771,"682":772,"683":773,"684":774,"687":777,"688":778,"689":780,"690":781,"691":782,"692":784,"693":785,"694":786,"695":787,"696":789,"698":791,"699":793,"700":794,"701":795,"702":796,"703":799,"706":803,"707":804,"708":805,"709":808,"713":812,"714":813,"715":815,"716":816,"718":820,"719":821,"720":822,"721":823,"722":824,"723":825,"724":826,"725":827,"726":828,"729":831,"730":832,"731":834,"732":835,"733":838,"734":839,"736":842,"737":844,"739":846,"741":848,"743":851,"746":854,"747":855,"749":857,"750":859,"752":861,"753":862,"754":863,"755":864,"756":865,"757":866,"759":868,"760":869,"761":870,"762":871,"763":872,"764":873,"765":874,"766":875,"767":876,"768":877,"769":878,"770":880,"771":882,"772":883,"773":884,"774":886,"776":888,"778":891,"779":893,"780":894,"781":895,"782":896,"783":897,"784":898,"785":899,"786":901,"787":902,"789":907,"790":908,"791":909,"793":911,"794":912,"795":913,"798":917,"799":918,"800":919,"801":921,"803":925,"804":926,"805":927,"806":928,"807":929,"808":930,"809":931,"811":934,"812":935,"813":936,"814":937,"815":939,"816":940,"818":942,"819":943,"820":944,"821":945,"822":946,"823":948,"824":949,"827":952,"828":953,"829":954,"830":955,"831":956,"832":957,"833":959,"834":960,"836":962,"837":963,"838":964,"839":965,"840":966,"842":968,"843":969,"845":971,"846":972,"847":974,"851":978,"852":979,"853":980,"854":981,"855":983,"856":984,"857":985,"858":986,"859":987,"860":988,"861":989,"862":990,"863":991,"864":992,"865":993,"866":994,"867":995,"868":996,"869":997,"870":998,"871":999,"872":1000,"873":1002,"874":1003,"875":1005,"876":1006,"877":1007,"878":1008,"879":1009,"880":1010,"881":1011,"882":1012,"883":1013,"884":1014,"885":1015,"887":1017,"889":1019,"891":1021,"892":1022,"893":1023,"894":1024,"895":1025,"897":1027,"899":1029,"900":1030,"901":1032,"902":1033,"903":1034,"905":1036,"906":1037,"907":1038,"908":1039,"910":1041,"912":1043,"914":1045,"915":1046,"918":1049,"919":1050,"920":1051,"921":1052,"922":1055,"923":1057,"924":1058,"925":1059,"926":1060,"927":1061,"928":1063,"929":1064,"930":1065,"931":1066,"932":1067,"940":1076,"942":1078,"944":1080,"945":1081,"947":1085,"948":1086,"949":1087,"950":1088,"951":1089,"953":1091,"954":1092,"956":1095,"959":1099,"960":1101,"961":1104,"963":1106,"964":1108,"965":1109,"967":1111,"968":1112,"969":1113,"970":1114,"971":1115,"972":1117,"975":1121,"976":1122,"977":1123,"978":1124,"980":1126,"981":1127,"982":1128,"983":1129,"984":1130,"985":1131,"987":1134,"988":1135,"989":1136,"992":1140,"993":1141,"994":1142,"995":1143,"996":1144,"998":1146,"999":1147,"1000":1148,"1001":1149,"1002":1150,"1003":1151,"1006":1154,"1007":1155,"1008":1156,"1009":1157,"1010":1158,"1011":1159,"1012":1161,"1013":1162,"1014":1163,"1015":1164,"1016":1165,"1017":1166,"1018":1167,"1019":1168,"1020":1169,"1021":1170,"1022":1171,"1023":1172,"1024":1173,"1025":1176,"1026":1177,"1028":1179,"1029":1181,"1031":1184,"1032":1185,"1033":1186,"1036":1189,"1037":1190,"1038":1191,"1039":1192,"1040":1193,"1041":1195,"1042":1197,"1043":1198,"1044":1199,"1045":1201,"1046":1202,"1047":1203,"1048":1204,"1049":1205,"1050":1206,"1051":1207,"1052":1210,"1053":1211,"1054":1212,"1055":1213,"1057":1216,"1059":1218,"1062":1221,"1064":1224,"1065":1225,"1066":1227,"1068":1229,"1069":1230,"1070":1231,"1072":1233,"1074":1235,"1075":1236,"1076":1237,"1078":1239,"1079":1240,"1081":1243,"1082":1244,"1083":1245,"1085":1248,"1087":1250,"1088":1251,"1089":1252,"1090":1253,"1092":1255,"1093":1257,"1094":1258,"1095":1260,"1097":1263,"1099":1266,"1100":1267,"1101":1268,"1102":1269,"1105":1273,"1106":1274,"1107":1275,"1108":1277,"1109":1278,"1110":1279,"1111":1281,"1112":1283,"1113":1284,"1114":1286,"1115":1287,"1116":1290,"1117":1293,"1118":1294,"1119":1295,"1124":1301,"1125":1302,"1128":1305,"1129":1306,"1131":1308,"1132":1309,"1133":1310,"1134":1311,"1136":1313,"1137":1314,"1139":1316,"1140":1317,"1141":1318,"1142":1319,"1143":1320,"1144":1321,"1146":1323,"1148":1325,"1149":1326,"1151":1328,"1152":1329,"1153":1330,"1154":1331,"1155":1332,"1157":1334,"1158":1335,"1159":1337,"1162":1340,"1164":1342,"1165":1343,"1166":1344,"1167":1345,"1169":1347,"1170":1348,"1172":1351,"1174":1353,"1175":1354,"1177":1358,"1178":1359,"1179":1360,"1181":1362,"1182":1364,"1183":1365,"1184":1366,"1185":1367,"1186":1369,"1187":1370,"1189":1372,"1190":1373,"1191":1374,"1192":1375,"1193":1377,"1194":1378,"1196":1380,"1197":1381,"1198":1382,"1199":1383,"1202":1386,"1203":1387,"1204":1388,"1205":1389,"1206":1390,"1207":1391,"1211":1395,"1212":1396,"1213":1397,"1214":1398,"1215":1399,"1216":1400,"1217":1401,"1218":1402,"1219":1403,"1220":1404,"1222":1406,"1223":1407,"1224":1408,"1225":1410,"1227":1412,"1228":1413,"1229":1414,"1230":1415,"1231":1416,"1232":1417,"1233":1418,"1234":1419,"1235":1420,"1236":1421,"1237":1424,"1238":1425,"1239":1427,"1240":1428,"1242":1430,"1243":1431,"1244":1432,"1245":1434,"1247":1436,"1248":1437,"1251":1441,"1255":1447,"1257":1449,"1259":1451,"1260":1452,"1261":1453,"1262":1455,"1264":1457,"1265":1458,"1266":1459,"1267":1460,"1268":1461,"1269":1462,"1271":1465,"1272":1466,"1273":1467,"1276":1471,"1280":1475,"1285":1481,"1287":1483,"1288":1484,"1289":1485,"1292":1489,"1295":1492,"1296":1493,"1298":1495,"1299":1496,"1302":1499,"1303":1500,"1305":1502,"1307":1504,"1308":1505,"1311":1509,"1312":1510,"1313":1511,"1314":1512,"1316":1514,"1318":1516,"1320":1518,"1321":1519,"1323":1521,"1324":1522,"1325":1524,"1326":1525,"1327":1526,"1328":1527,"1330":1530,"1331":1531,"1332":1532,"1333":1533,"1335":1536,"1336":1537,"1337":1538,"1338":1539,"1339":1540,"1344":1545,"1345":1546,"1346":1547,"1347":1548,"1348":1549,"1349":1550,"1351":1552,"1353":1554,"1354":1555,"1356":1558,"1359":1562,"1360":1563,"1364":1567,"1366":1569,"1367":1570,"1368":1571,"1369":1572,"1370":1573,"1373":1576,"1374":1577,"1376":1580,"1377":1581,"1378":1582,"1380":1584,"1382":1586,"1383":1587,"1384":1588,"1385":1589,"1386":1591,"1390":1595,"1391":1597,"1392":1598,"1393":1600,"1395":1603,"1397":1605,"1400":1608,"1401":1609,"1402":1610,"1403":1611,"1404":1612,"1405":1613,"1406":1614,"1407":1617,"1408":1618,"1409":1619,"1410":1620,"1411":1621,"1413":1623,"1415":1628,"1416":1629,"1417":1630,"1418":1632,"1419":1634,"1421":1637,"1422":1638,"1425":1642,"1428":1647,"1429":1649,"1431":1652,"1433":1654,"1435":1657,"1436":1658,"1438":1661,"1439":1662,"1441":1664,"1442":1666,"1444":1668,"1446":1670,"1447":1671,"1448":1672,"1450":1674,"1452":1676,"1453":1677,"1454":1678,"1458":1682,"1461":1688,"1467":1694,"1468":1695,"1469":1696,"1471":1698,"1472":1699,"1473":1700,"1474":1701,"1475":1702,"1476":1703,"1477":1704,"1478":1705,"1480":1707,"1481":1708,"1482":1709,"1483":1710,"1484":1711,"1485":1712,"1486":1713,"1489":1716,"1490":1717,"1491":1718,"1493":1720,"1494":1721,"1495":1722,"1496":1723,"1497":1724,"1498":1725,"1503":1730,"1505":1733,"1506":1735,"1507":1736,"1508":1737,"1510":1739,"1511":1740,"1512":1741,"1514":1744,"1515":1745,"1516":1746,"1517":1747,"1518":1748,"1519":1749,"1520":1750,"1521":1751,"1523":1753,"1524":1754,"1528":1758,"1529":1759,"1530":1760,"1531":1763,"1532":1764,"1533":1765,"1534":1766,"1535":1767,"1536":1768,"1537":1769,"1539":1771,"1540":1772,"1542":1774,"1545":1778,"1546":1780,"1548":1783,"1549":1784,"1557":1793,"1559":1795,"1560":1796,"1561":1797,"1562":1798,"1564":1800,"1565":1801,"1566":1802,"1567":1803,"1568":1804,"1569":1805,"1570":1806,"1572":1808,"1573":1809,"1574":1810,"1575":1811,"1576":1812,"1579":1815,"1580":1816,"1581":1817,"1582":1818,"1583":1819,"1584":1820,"1585":1821,"1586":1822,"1587":1823,"1588":1826,"1590":1828,"1591":1829,"1592":1830,"1594":1833,"1596":1835,"1597":1836,"1598":1838,"1599":1839,"1600":1840,"1601":1841,"1602":1842,"1603":1843,"1604":1844,"1606":1846,"1607":1847,"1609":1849,"1611":1851,"1612":1852,"1613":1853,"1614":1854,"1615":1855,"1616":1856,"1617":1857,"1618":1858,"1619":1859,"1620":1860,"1621":1861,"1622":1863,"1623":1864,"1624":1865,"1625":1866,"1627":1868,"1629":1871,"1630":1872,"1631":1873,"1632":1874,"1633":1875,"1637":1879,"1638":1880,"1639":1881,"1640":1883,"1641":1884,"1644":1887,"1645":1888,"1646":1889,"1647":1891,"1649":1894,"1650":1895,"1651":1896,"1653":1898,"1654":1899,"1655":1900,"1656":1901,"1657":1904,"1658":1905,"1659":1906,"1660":1907,"1661":1908,"1662":1909,"1664":1912,"1665":1913,"1666":1914,"1669":1918,"1670":1919,"1672":1921,"1673":1924,"1674":1926,"1676":1928,"1677":1929,"1678":1930,"1679":1931,"1680":1934,"1681":1935,"1682":1936,"1683":1937,"1685":1941,"1687":1944,"1688":1945,"1689":1946,"1690":1947,"1691":1948,"1692":1949,"1693":1950,"1694":1951,"1695":1952,"1696":1953,"1698":1955,"1701":1959,"1702":1960,"1703":1962,"1704":1963,"1705":1964,"1706":1965,"1708":1967,"1710":1969,"1712":1971,"1714":1973,"1715":1975,"1717":1977,"1718":1978,"1719":1979,"1720":1980,"1721":1981,"1723":1983,"1724":1984,"1725":1985,"1726":1986,"1728":1989,"1729":1992,"1730":1993,"1731":1994,"1733":1997,"1734":1998,"1735":1999,"1736":2000,"1737":2001,"1739":2003,"1740":2004,"1741":2006,"1742":2007,"1744":2010,"1745":2011,"1747":2013,"1748":2015,"1750":2018,"1751":2019,"1753":2021,"1754":2022,"1755":2023,"1757":2025,"1759":2027,"1760":2028,"1762":2030,"1764":2032,"1765":2033,"1766":2034,"1767":2035,"1769":2037,"1770":2038,"1771":2039,"1772":2040,"1773":2041,"1774":2042,"1775":2043,"1776":2044,"1777":2045,"1778":2046,"1779":2048,"1780":2051,"1782":2054,"1783":2055,"1784":2060,"1785":2065,"1786":2066,"1787":2083,"1788":2087,"1789":2090,"1790":2094,"1792":2101,"1793":2104,"1794":2108,"1795":2112,"1796":2113,"1797":2115,"1798":2116,"1799":2118,"1800":2122,"1801":2123,"1802":2127,"1804":2132,"1805":2140,"1807":2148,"1808":2149,"1810":2159,"1812":2161,"1813":2162,"1814":2165,"1815":2168,"1816":2172,"1817":2176,"1819":2181,"1821":2189,"1822":2190,"1823":2191,"1824":2193,"1825":2194,"1826":2198,"1827":2207,"1828":2209,"1829":2210,"1830":2214,"1832":2218,"1834":2221,"1835":2224,"1836":2229,"1838":2235,"1839":2239,"1840":2241,"1841":2242,"1843":2247,"1845":2256,"1846":2257,"1848":2260,"1849":2262,"1851":2269,"1852":2270,"1853":2275,"1854":2282,"1855":2286,"1857":2293,"1858":2298,"1860":2301,"1861":2307,"1862":2308,"1863":2312,"1864":2315,"1865":2321,"1868":2328,"1870":2335,"1871":2341,"1872":2345,"1873":2348,"1874":2350,"1877":2367,"1878":2369,"1879":2370,"1880":2372,"1881":2382,"1882":2384,"1883":2385,"1884":2388,"1886":2398,"1887":2405,"1889":2409,"1890":2411,"1891":2413,"1892":2414,"1893":2422,"1894":2427,"1895":2428,"1896":2429,"1898":2434,"1899":2435,"1900":2436,"1902":2442,"1904":2449,"1905":2450,"1906":2451,"1907":2456,"1909":2461,"1910":2463,"1912":2470,"1914":2476,"1915":2480,"1917":2488,"1918":2497,"1919":2498,"1921":2511,"1922":2512,"1923":2519,"1925":2525,"1926":2529,"1927":2533,"1929":2538,"1930":2542,"1931":2546,"1933":2552,"1934":2556,"1935":2561,"1936":2562,"1937":2575,"1939":2578,"1940":2588,"1942":2605,"1944":2615,"1945":2631,"1946":2632,"1947":2635,"1948":2636,"1950":2641,"1951":2644,"1952":2645,"1953":2649,"1954":2654,"1956":2664,"1957":2674,"1958":2677,"1959":2681,"1960":2687,"1961":2694,"1962":2697,"1963":2698,"1964":2704,"1966":2706,"1967":2707,"1968":2712,"1969":2715,"1970":2717,"1973":2724,"1974":2726,"1975":2730,"1976":2735,"1977":2738,"1978":2741,"1979":2742,"1980":2745,"1982":2757,"1983":2759,"1984":2760,"1985":2763,"1986":2765,"1987":2767,"1988":2774,"1989":2778,"1990":2785,"1991":2789,"1992":2794,"1994":2797,"1995":2800,"1996":2801,"1997":2802,"1999":2812,"2000":2813,"2001":2815,"2002":2820,"2003":2821,"2004":2823,"2005":2827,"2006":2835,"2007":2837,"2008":2843,"2009":2849,"2010":2853,"2011":2855,"2012":2856,"2013":2857,"2014":2860,"2015":2864,"2016":2866,"2017":2868,"2018":2871,"2019":2872,"2020":2873,"2022":2879,"2024":2888,"2025":2891,"2027":2905,"2030":2913,"2032":2921,"2033":2927,"2034":2929,"2035":2938,"2036":2940,"2039":2960,"2041":2965,"2043":2969,"2044":2971,"2047":2989,"2048":2991,"2050":3002,"2051":3004,"2054":3010,"2055":3015,"2056":3017,"2057":3020,"2058":3025,"2059":3026,"2062":3033,"2063":3035,"2064":3040,"2065":3041,"2067":3049,"2068":3051,"2069":3052,"2070":3056,"2072":3060,"2073":3061,"2074":3064,"2075":3065,"2076":3077,"2077":3080,"2078":3082,"2079":3084,"2080":3090,"2081":3091,"2082":3093,"2083":3097,"2084":3106,"2086":3114,"2087":3116,"2090":3127,"2091":3129,"2092":3130,"2093":3132,"2094":3144,"2095":3145,"2097":3150,"2098":3155,"2099":3160,"2100":3165,"2101":3169,"2102":3173,"2103":3175,"2104":3176,"2105":3177,"2106":3178,"2108":3181,"2109":3195,"2110":3200,"2111":3203,"2112":3207,"2113":3209,"2114":3212,"2115":3215,"2116":3216,"2117":3217,"2118":3219,"2121":3229,"2122":3242,"2123":3244,"2124":3245,"2125":3247,"2126":3249,"2127":3256,"2128":3259,"2129":3268,"2130":3271,"2131":3275,"2132":3283,"2133":3290,"2134":3295,"2137":3304,"2138":3306,"2140":3316,"2141":3318,"2142":3321,"2143":3322,"2145":3328,"2146":3333,"2147":3337,"2148":3339,"2149":3341,"2150":3345,"2152":3349,"2154":3353,"2155":3360,"2157":3366,"2158":3368,"2159":3374,"2160":3378,"2161":3382,"2162":3394,"2163":3398,"2164":3399,"2165":3402,"2166":3405,"2167":3409,"2168":3414,"2169":3418,"2170":3427,"2171":3434,"2174":3437,"2177":3442,"2178":3444,"2179":3445,"2181":3454,"2182":3458,"2184":3466,"2185":3470,"2186":3475,"2187":3479,"2188":3487,"2189":3491,"2190":3494,"2191":3497,"2192":3498,"2193":3499,"2194":3500,"2195":3501,"2196":3507,"2197":3519,"2199":3534,"2200":3536,"2201":3542,"2202":3543,"2203":3544,"2204":3550,"2205":3551,"2206":3554,"2208":3557,"2209":3558,"2210":3565,"2211":3567,"2212":3571,"2214":3575,"2215":3580,"2216":3581,"2217":3582,"2218":3585,"2219":3587,"2220":3594,"2221":3597,"2222":3604,"2223":3605,"2224":3607,"2225":3608,"2226":3614,"2228":3632,"2229":3633,"2230":3635,"2231":3643,"2233":3652,"2234":3658,"2235":3659,"2236":3662,"2238":3674,"2239":3680,"2240":3684,"2241":3685,"2242":3687,"2243":3688,"2244":3689,"2245":3692,"2246":3696,"2247":3697,"2248":3699,"2249":3703,"2250":3704,"2251":3707,"2252":3712,"2253":3714,"2255":3728,"2256":3733,"2257":3738,"2258":3740,"2259":3744,"2260":3748,"2261":3750,"2262":3751,"2263":3754,"2264":3755,"2266":3758,"2268":3762,"2269":3768,"2270":3772,"2273":3789,"2274":3791,"2275":3792,"2276":3794,"2277":3798,"2279":3803,"2282":3826,"2283":3829,"2284":3837,"2285":3840,"2286":3842,"2287":3844,"2288":3849,"2289":3859,"2290":3876,"2291":3880,"2292":3896,"2293":3901,"2294":3907,"2296":3913,"2297":3922,"2298":3925,"2299":3927,"2300":3931,"2301":3935,"2302":3937,"2303":3944,"2304":3949,"2305":3950,"2307":3958,"2308":3961,"2310":3981,"2312":3984,"2313":3989,"2314":3992,"2316":3997,"2317":4006,"2318":4010,"2320":4013,"2321":4014,"2322":4024,"2323":4025,"2324":4026,"2325":4028,"2326":4038,"2327":4039,"2328":4042,"2329":4044,"2331":4052,"2332":4058,"2334":4061,"2335":4062,"2336":4065,"2337":4066,"2338":4067,"2340":4072,"2341":4081,"2342":4083,"2343":4087,"2345":4094},{"2":15,"4":29,"5":39,"6":43,"8":105,"9":114,"10":124,"11":125,"12":126,"14":130,"15":137,"16":156,"19":166,"20":167,"21":175,"22":184,"24":186,"26":196,"27":197,"28":205,"29":221,"30":223,"32":255,"33":266,"34":274,"36":292,"38":333,"39":342,"40":348,"42":361,"44":372,"45":374,"47":382,"49":405,"50":406,"51":410,"52":418,"53":443,"54":444,"55":453,"56":492,"58":497,"59":504,"60":505,"61":544,"62":578,"63":591,"64":596,"66":621,"69":654,"70":657,"71":668,"72":676,"73":703,"75":709,"77":733,"80":751,"82":779,"83":783,"84":792,"85":797,"87":801,"88":806,"90":814,"91":818,"92":819,"93":833,"95":837,"96":840,"97":843,"98":858,"99":879,"100":881,"101":885,"102":892,"103":900,"104":904,"106":914,"108":923,"110":932,"111":938,"112":947,"113":958,"114":973,"115":982,"116":1001,"117":1004,"118":1031,"119":1053,"121":1056,"122":1062,"124":1083,"126":1093,"128":1100,"129":1103,"130":1107,"132":1118,"133":1139,"135":1174,"137":1180,"139":1194,"140":1196,"141":1200,"142":1208,"146":1226,"147":1242,"148":1246,"149":1256,"150":1259,"151":1261,"152":1265,"154":1276,"155":1280,"156":1282,"157":1288,"159":1291,"160":1296,"161":1336,"162":1349,"163":1355,"164":1356,"165":1363,"168":1409,"169":1422,"170":1423,"172":1433,"173":1439,"174":1443,"175":1445,"176":1454,"177":1463,"178":1469,"179":1479,"182":1523,"183":1529,"184":1535,"185":1556,"186":1578,"187":1590,"190":1601,"193":1624,"194":1625,"197":1633,"198":1636,"199":1640,"200":1643,"201":1645,"203":1651,"204":1659,"205":1665,"206":1683,"207":1685,"208":1687,"209":1732,"210":1734,"213":1762,"215":1779,"216":1782,"217":1791,"218":1824,"219":1832,"220":1837,"222":1869,"226":1902,"229":1915,"230":1922,"231":1923,"232":1925,"233":1932,"235":1938,"238":1961,"239":1974,"240":1987,"242":1996,"243":2005,"245":2014,"246":2016,"247":2050,"248":2057,"249":2058,"250":2063,"251":2064,"252":2071,"254":2077,"255":2081,"257":2088,"259":2093,"260":2096,"262":2103,"263":2105,"264":2109,"265":2111,"266":2117,"267":2119,"268":2124,"269":2125,"270":2126,"272":2138,"273":2141,"274":2143,"275":2144,"277":2150,"278":2152,"279":2155,"280":2156,"281":2157,"282":2163,"283":2164,"284":2173,"286":2175,"287":2183,"288":2188,"289":2199,"290":2200,"291":2201,"292":2202,"293":2205,"294":2206,"295":2211,"296":2220,"297":2228,"298":2232,"300":2243,"301":2248,"302":2249,"303":2250,"304":2258,"305":2266,"306":2267,"308":2274,"309":2276,"310":2279,"311":2280,"312":2284,"313":2290,"314":2291,"315":2295,"317":2305,"320":2314,"321":2316,"323":2327,"324":2331,"325":2332,"326":2339,"328":2344,"329":2346,"332":2360,"333":2362,"334":2363,"335":2365,"336":2371,"337":2374,"338":2379,"339":2383,"340":2393,"341":2396,"342":2401,"343":2402,"344":2415,"345":2417,"346":2424,"347":2425,"348":2438,"349":2440,"352":2447,"353":2452,"354":2454,"355":2457,"356":2460,"357":2467,"358":2469,"359":2472,"360":2478,"361":2479,"364":2491,"365":2492,"366":2495,"367":2503,"369":2507,"370":2508,"371":2510,"372":2514,"373":2521,"374":2530,"375":2531,"376":2532,"377":2539,"379":2551,"380":2560,"381":2564,"382":2565,"383":2566,"384":2568,"385":2569,"386":2572,"387":2574,"388":2581,"389":2583,"390":2584,"391":2589,"393":2595,"394":2599,"395":2607,"396":2608,"397":2610,"398":2618,"399":2620,"401":2623,"402":2624,"404":2628,"405":2630,"406":2634,"407":2643,"409":2650,"410":2657,"411":2658,"412":2659,"413":2665,"414":2667,"415":2670,"416":2671,"417":2676,"418":2679,"419":2680,"421":2690,"422":2691,"424":2709,"425":2711,"426":2713,"427":2714,"429":2722,"430":2727,"431":2733,"432":2737,"433":2743,"435":2747,"436":2748,"437":2749,"438":2751,"440":2764,"441":2770,"443":2779,"444":2782,"445":2787,"446":2790,"447":2796,"449":2814,"450":2816,"451":2818,"452":2822,"454":2826,"456":2829,"457":2830,"459":2840,"460":2841,"461":2842,"463":2851,"464":2859,"465":2870,"466":2877,"467":2878,"468":2880,"469":2884,"470":2887,"471":2889,"472":2893,"473":2896,"474":2898,"475":2900,"477":2910,"478":2912,"479":2914,"480":2916,"481":2919,"482":2920,"484":2923,"486":2926,"487":2931,"488":2932,"489":2936,"490":2937,"492":2947,"493":2948,"495":2958,"496":2962,"498":2967,"500":2976,"502":2981,"503":2982,"505":2988,"507":2997,"508":2999,"509":3000,"510":3001,"513":3011,"514":3014,"515":3021,"516":3022,"517":3023,"518":3034,"519":3038,"520":3045,"521":3046,"522":3050,"523":3055,"524":3057,"525":3058,"526":3066,"527":3067,"528":3068,"530":3074,"531":3076,"532":3078,"533":3087,"534":3096,"535":3100,"536":3102,"538":3110,"540":3113,"541":3115,"542":3117,"543":3118,"544":3123,"545":3124,"546":3128,"548":3134,"549":3136,"550":3142,"552":3148,"553":3149,"554":3156,"556":3159,"557":3162,"558":3164,"560":3183,"562":3185,"563":3187,"564":3194,"565":3199,"566":3204,"567":3205,"568":3208,"569":3210,"570":3211,"571":3214,"572":3222,"573":3225,"574":3231,"575":3236,"576":3243,"577":3248,"578":3254,"579":3257,"580":3258,"581":3261,"583":3264,"584":3267,"585":3277,"586":3287,"587":3291,"588":3293,"589":3294,"591":3300,"592":3302,"593":3307,"594":3308,"595":3313,"596":3314,"597":3315,"600":3329,"602":3334,"603":3338,"604":3340,"605":3351,"606":3358,"607":3359,"608":3365,"609":3367,"610":3369,"611":3381,"613":3384,"614":3386,"617":3395,"618":3396,"623":3415,"624":3417,"625":3420,"627":3425,"628":3426,"630":3432,"631":3440,"632":3443,"633":3449,"634":3450,"635":3452,"636":3456,"637":3457,"638":3459,"639":3460,"640":3464,"641":3465,"642":3468,"643":3473,"644":3474,"645":3478,"647":3485,"648":3486,"649":3488,"650":3493,"651":3495,"652":3512,"653":3513,"654":3515,"655":3523,"656":3524,"657":3528,"658":3530,"659":3537,"660":3538,"661":3539,"662":3541,"663":3545,"664":3547,"665":3552,"666":3560,"667":3562,"668":3563,"670":3570,"671":3576,"672":3583,"673":3584,"674":3588,"675":3590,"676":3595,"677":3601,"678":3606,"679":3609,"680":3610,"681":3612,"682":3613,"683":3615,"684":3616,"685":3622,"687":3625,"689":3640,"690":3641,"691":3642,"692":3644,"693":3645,"694":3650,"695":3651,"696":3653,"697":3654,"698":3655,"700":3667,"702":3669,"704":3678,"705":3686,"706":3690,"707":3691,"708":3694,"709":3695,"710":3700,"711":3702,"712":3711,"713":3717,"714":3719,"715":3720,"716":3721,"717":3723,"718":3724,"719":3730,"720":3731,"721":3732,"723":3739,"724":3743,"726":3761,"728":3769,"729":3773,"731":3775,"732":3781,"733":3783,"735":3787,"736":3788,"737":3793,"738":3799,"739":3813,"740":3820,"741":3824,"742":3825,"743":3831,"745":3838,"746":3841,"747":3843,"748":3846,"749":3848,"750":3850,"751":3855,"752":3856,"753":3858,"754":3860,"755":3861,"756":3863,"757":3864,"758":3865,"759":3872,"760":3874,"761":3878,"762":3882,"763":3884,"764":3886,"765":3890,"766":3891,"767":3892,"768":3894,"769":3895,"770":3900,"771":3903,"772":3908,"774":3919,"775":3923,"776":3940,"777":3942,"778":3952,"779":3953,"780":3957,"781":3960,"782":3962,"783":3964,"784":3966,"785":3967,"786":3968,"787":3971,"788":3973,"789":3975,"790":3976,"791":3979,"792":3980,"793":3982,"795":3998,"797":4008,"798":4012,"799":4015,"800":4016,"801":4017,"802":4021,"804":4023,"806":4030,"807":4033,"808":4035,"809":4046,"810":4049,"811":4051,"812":4059,"813":4063,"814":4064,"815":4069,"816":4070,"817":4074,"818":4076,"819":4077,"820":4080,"821":4085,"822":4089},{"0":66,"2":144,"3":425,"4":438,"5":582,"7":660,"10":889,"11":903,"12":1102,"13":1132,"14":1285,"15":1292,"16":1559,"17":1655,"18":1825,"19":1939,"21":2047,"22":2052,"23":2056,"24":2059,"25":2070,"26":2072,"27":2074,"28":2075,"29":2078,"30":2092,"31":2095,"32":2100,"33":2102,"34":2106,"35":2107,"36":2110,"37":2114,"38":2121,"39":2130,"40":2133,"41":2135,"42":2137,"43":2139,"44":2145,"45":2154,"46":2166,"48":2171,"49":2185,"50":2195,"52":2215,"53":2223,"54":2226,"55":2227,"56":2236,"57":2237,"58":2238,"59":2253,"60":2263,"61":2273,"62":2285,"63":2296,"64":2297,"65":2299,"66":2313,"69":2319,"70":2320,"71":2329,"72":2334,"73":2336,"74":2338,"75":2340,"76":2343,"77":2351,"78":2352,"79":2355,"80":2364,"81":2366,"82":2368,"83":2375,"84":2377,"85":2386,"86":2387,"88":2392,"89":2397,"90":2400,"91":2404,"92":2406,"93":2408,"96":2423,"97":2433,"98":2462,"99":2474,"100":2499,"101":2500,"102":2504,"103":2506,"104":2520,"105":2522,"106":2524,"107":2535,"108":2540,"109":2544,"110":2547,"111":2553,"112":2554,"113":2559,"114":2563,"116":2573,"117":2582,"118":2586,"119":2590,"121":2600,"122":2601,"123":2604,"124":2626,"125":2638,"126":2639,"127":2642,"128":2652,"129":2660,"130":2668,"131":2672,"132":2673,"133":2684,"134":2685,"135":2692,"136":2696,"137":2700,"138":2702,"139":2710,"140":2723,"141":2725,"142":2734,"143":2739,"144":2761,"145":2768,"146":2772,"147":2773,"148":2781,"149":2783,"150":2791,"151":2799,"152":2804,"153":2806,"154":2807,"155":2808,"157":2819,"158":2832,"159":2833,"160":2839,"161":2845,"162":2852,"164":2865,"165":2867,"166":2869,"167":2875,"168":2886,"169":2890,"170":2894,"171":2899,"173":2909,"174":2911,"175":2915,"176":2939,"177":2944,"178":2945,"179":2946,"180":2949,"181":2950,"182":2956,"184":2972,"185":2975,"186":2978,"187":2994,"188":3019,"189":3024,"190":3027,"191":3030,"192":3039,"194":3072,"195":3079,"196":3081,"197":3086,"198":3094,"199":3095,"203":3137,"204":3141,"205":3153,"206":3157,"207":3166,"208":3170,"209":3188,"210":3190,"211":3191,"212":3201,"213":3202,"214":3206,"215":3218,"216":3220,"217":3224,"218":3233,"219":3234,"220":3238,"221":3252,"222":3253,"223":3255,"224":3262,"225":3269,"226":3270,"227":3272,"228":3273,"229":3276,"230":3278,"231":3282,"232":3286,"233":3312,"234":3319,"235":3320,"236":3324,"237":3325,"238":3327,"239":3332,"240":3336,"241":3352,"242":3357,"243":3362,"244":3370,"245":3372,"246":3376,"247":3387,"248":3388,"249":3392,"250":3397,"251":3404,"252":3410,"253":3419,"255":3439,"256":3447,"257":3467,"258":3469,"259":3472,"260":3477,"261":3482,"262":3483,"263":3492,"264":3505,"265":3508,"266":3517,"267":3525,"268":3526,"269":3531,"270":3533,"271":3553,"272":3556,"273":3559,"274":3566,"275":3578,"276":3589,"277":3598,"278":3599,"279":3602,"280":3611,"281":3619,"282":3621,"283":3634,"284":3636,"285":3646,"286":3647,"287":3649,"288":3661,"289":3672,"290":3675,"292":3679,"293":3693,"294":3701,"295":3705,"296":3713,"297":3727,"298":3729,"299":3735,"301":3742,"302":3753,"303":3770,"304":3779,"305":3782,"306":3785,"307":3790,"308":3801,"309":3802,"310":3805,"311":3808,"312":3811,"313":3818,"314":3819,"315":3821,"316":3822,"317":3832,"318":3835,"319":3839,"320":3845,"321":3853,"322":3862,"323":3873,"324":3877,"325":3889,"326":3897,"327":3910,"328":3916,"330":3929,"331":3933,"332":3936,"333":3939,"335":3945,"336":3947,"337":3948,"340":3978,"341":3991,"342":3994,"343":3999,"344":4009,"345":4019,"346":4027,"347":4034,"348":4045,"349":4050,"351":4056,"352":4071,"353":4073,"354":4078,"355":4084,"356":4091},{"0":2061,"1":2062,"2":2068,"3":2073,"4":2079,"5":2131,"6":2167,"7":2182,"9":2192,"10":2196,"11":2203,"12":2212,"13":2217,"14":2240,"15":2246,"16":2254,"17":2255,"19":2265,"20":2277,"21":2278,"22":2281,"23":2292,"24":2302,"25":2333,"26":2337,"27":2347,"28":2349,"29":2357,"30":2373,"31":2394,"32":2399,"33":2410,"34":2419,"35":2439,"36":2445,"37":2448,"38":2453,"39":2458,"40":2465,"41":2468,"42":2477,"43":2485,"44":2526,"45":2534,"46":2543,"47":2567,"49":2579,"50":2587,"51":2633,"52":2651,"53":2656,"54":2661,"55":2666,"56":2678,"57":2718,"58":2728,"59":2729,"60":2740,"61":2756,"62":2758,"63":2769,"64":2777,"65":2788,"66":2825,"67":2831,"68":2838,"69":2844,"70":2847,"71":2862,"72":2885,"73":2897,"74":2901,"75":2902,"76":2935,"77":2963,"79":2985,"80":2992,"81":3013,"82":3032,"83":3036,"84":3042,"85":3054,"86":3062,"87":3063,"88":3070,"89":3105,"90":3140,"91":3167,"92":3168,"93":3171,"94":3172,"95":3182,"96":3192,"97":3198,"98":3213,"99":3241,"100":3246,"101":3250,"102":3260,"103":3266,"104":3280,"105":3281,"106":3292,"107":3305,"108":3335,"109":3343,"110":3347,"111":3355,"112":3363,"113":3379,"114":3380,"115":3393,"116":3411,"117":3421,"118":3422,"119":3423,"120":3448,"121":3451,"122":3463,"123":3489,"124":3490,"126":3511,"127":3514,"128":3518,"129":3521,"130":3522,"132":3529,"133":3532,"134":3535,"135":3549,"136":3574,"138":3596,"139":3603,"140":3617,"142":3623,"143":3630,"144":3631,"145":3656,"146":3663,"147":3666,"148":3681,"149":3706,"150":3709,"151":3710,"152":3715,"153":3718,"154":3734,"155":3747,"156":3749,"157":3757,"158":3760,"160":3777,"161":3806,"162":3810,"163":3815,"164":3816,"165":3817,"166":3823,"167":3854,"168":3867,"169":3870,"170":3871,"171":3875,"172":3879,"173":3893,"174":3902,"175":3930,"176":3934,"177":3977,"178":3986,"179":4001,"180":4004,"181":4018,"182":4020,"183":4036,"184":4048,"185":4054,"186":4086,"187":4090},{"0":2049,"1":2086,"2":2151,"3":2170,"4":2177,"6":2222,"7":2261,"8":2306,"9":2361,"10":2389,"11":2418,"12":2426,"13":2455,"14":2471,"15":2490,"16":2494,"17":2496,"18":2513,"19":2527,"20":2549,"21":2597,"22":2598,"23":2606,"24":2617,"25":2619,"26":2629,"27":2646,"28":2648,"29":2662,"31":2736,"32":2750,"33":2771,"34":2780,"36":2817,"37":2846,"38":2876,"39":2882,"40":2917,"41":2925,"43":2984,"44":2986,"45":2995,"46":2996,"47":3005,"48":3008,"49":3018,"50":3044,"51":3053,"52":3071,"53":3083,"54":3085,"55":3107,"56":3120,"57":3152,"58":3186,"59":3226,"60":3237,"61":3310,"62":3331,"63":3406,"64":3433,"65":3484,"66":3509,"67":3516,"68":3569,"69":3572,"70":3626,"71":3628,"72":3629,"74":3677,"75":3716,"76":3763,"77":3786,"78":3795,"80":3827,"81":3828,"82":3833,"83":3847,"84":3869,"85":3881,"87":3909,"88":3917,"90":3928,"91":3941,"92":3954,"96":3993,"98":4032,"99":4037,"100":4041,"101":4075},{"0":2080,"1":2084,"2":2091,"3":2097,"4":2120,"5":2179,"6":2186,"7":2245,"8":2252,"9":2288,"10":2322,"11":2323,"12":2380,"14":2493,"15":2517,"16":2545,"17":2585,"18":2593,"19":2614,"22":2655,"23":2682,"24":2699,"25":2703,"26":2753,"27":2762,"28":2792,"30":2836,"31":2934,"32":2941,"33":2952,"34":2970,"35":2980,"36":3073,"37":3089,"38":3099,"39":3135,"40":3138,"41":3151,"42":3189,"44":3196,"45":3232,"46":3285,"47":3288,"48":3297,"49":3342,"50":3354,"52":3373,"53":3412,"54":3416,"55":3476,"59":3586,"60":3638,"61":3682,"62":3851,"63":3888,"64":3899,"65":3926,"66":3946,"67":3965,"68":3990,"69":4043,"70":4079,"72":4095},{"0":2067,"1":2134,"2":2230,"3":2231,"4":2272,"5":2283,"6":2303,"7":2310,"8":2395,"10":2432,"11":2486,"12":2580,"13":2596,"14":2611,"15":2612,"16":2627,"18":2683,"20":2732,"21":2766,"22":2776,"23":2786,"24":2805,"25":2848,"26":2854,"27":2883,"28":2895,"29":2903,"30":2983,"32":3037,"33":3048,"34":3088,"35":3104,"36":3125,"37":3139,"38":3161,"41":3251,"42":3284,"43":3311,"44":3346,"47":3577,"50":3726,"51":3741,"52":3809,"53":3830,"55":3906,"56":3924,"57":3996,"58":4055},{"0":2085,"1":2142,"2":2178,"4":2289,"5":2403,"6":2430,"10":2548,"13":2609,"14":2640,"15":2716,"16":2755,"17":2784,"18":2928,"19":2943,"22":3133,"23":3228,"25":3279,"26":3356,"27":3377,"28":3389,"29":3431,"30":3471,"31":3568,"32":3637,"33":3657,"35":3698,"36":3722,"37":3767,"40":3868,"42":3988,"43":4002,"44":4007,"45":4031,"46":4040},{"0":2158,"1":2225,"2":2294,"3":2376,"5":2421,"6":2509,"13":3108,"15":3197,"16":3223,"18":3344,"23":3814,"24":3836,"26":4057},{"0":2381,"3":2555,"4":2675,"5":2686,"7":3180,"9":3298,"10":3504,"13":3938},{"6":3075,"9":3430},{"0":2528,"4":3593},[],[],[],[],[],[],[]]