[{"1":2,"2":3,"3":4,"4":5,"5":6,"7":9,"8":10,"9":13,"10":14,"15":19,"17":22,"22":29,"23":31,"25":34,"26":36,"28":38,"29":40,"34":46,"36":48,"37":49,"39":51,"42":54,"43":55,"46":58,"47":59,"48":60,"50":62,"51":64,"52":65,"53":66,"55":68,"56":69,"57":70,"58":72,"59":73,"63":77,"65":79,"66":81,"68":83,"70":87,"71":88,"72":89,"73":90,"74":91,"75":92,"76":93,"77":95,"80":101,"81":102,"82":104,"83":105,"84":106,"86":108,"87":109,"91":113,"92":114,"93":115,"95":118,"96":119,"97":120,"98":121,"100":123,"101":124,"103":126,"105":128,"106":129,"107":130,"108":131,"109":132,"110":136,"112":143,"113":146,"114":147,"115":148,"117":150,"119":152,"120":153,"121":155,"123":157,"124":158,"129":164,"131":166,"132":167,"133":169,"134":170,"138":174,"139":175,"140":176,"141":177,"142":178,"143":180,"144":181,"145":184,"148":188,"150":190,"152":192,"153":193,"155":197,"157":199,"158":201,"159":202,"161":204,"163":208,"165":212,"166":214,"168":218,"170":220,"172":222,"173":223,"174":224,"175":228,"176":229,"177":230,"178":232,"182":240,"183":241,"184":243,"185":245,"187":248,"188":249,"189":250,"190":251,"191":252,"192":253,"194":257,"195":258,"196":259,"199":267,"200":268,"201":269,"202":270,"203":271,"204":272,"206":277,"209":280,"210":281,"212":284,"213":285,"214":287,"215":288,"216":291,"217":292,"218":294,"219":295,"220":296,"221":297,"223":299,"225":301,"226":302,"228":305,"229":306,"230":308,"231":309,"232":312,"233":313,"234":314,"235":315,"236":316,"239":321,"241":323,"242":324,"243":325,"244":326,"245":327,"246":328,"247":329,"249":332,"251":334,"252":335,"253":336,"254":338,"255":339,"259":343,"260":344,"263":347,"264":348,"265":349,"266":350,"267":351,"268":352,"269":353,"270":354,"272":357,"273":358,"274":359,"275":361,"276":363,"277":364,"279":366,"281":368,"282":369,"284":371,"286":373,"287":375,"290":379,"291":381,"292":382,"295":385,"296":387,"297":391,"298":392,"299":393,"301":396,"302":397,"303":399,"304":400,"305":401,"306":402,"307":405,"308":406,"309":407,"310":410,"312":412,"313":413,"314":414,"315":415,"316":418,"317":420,"318":421,"319":424,"320":425,"321":426,"323":430,"325":432,"326":433,"327":434,"328":436,"329":437,"330":438,"332":440,"335":443,"336":444,"338":446,"339":447,"342":450,"343":451,"345":455,"346":456,"347":457,"349":462,"350":463,"351":464,"352":466,"353":468,"355":472,"357":474,"358":475,"362":480,"363":481,"365":484,"366":485,"368":489,"373":494,"374":495,"375":496,"377":498,"379":500,"381":502,"382":504,"383":505,"384":506,"385":507,"387":509,"389":512,"391":514,"392":515,"393":516,"394":518,"395":519,"396":520,"397":523,"398":524,"401":530,"402":531,"404":535,"405":536,"406":537,"407":538,"408":539,"409":541,"410":542,"411":543,"412":544,"413":545,"415":549,"417":552,"418":553,"420":555,"421":556,"422":557,"423":559,"425":562,"426":563,"427":564,"428":565,"431":568,"433":571,"434":572,"435":573,"436":574,"437":576,"439":579,"440":580,"441":581,"442":583,"444":586,"445":587,"446":589,"447":592,"448":593,"449":594,"450":597,"452":600,"453":601,"454":602,"455":603,"456":605,"457":606,"458":607,"459":608,"460":611,"462":613,"463":614,"464":615,"466":618,"467":619,"468":620,"470":623,"471":624,"472":625,"474":627,"475":630,"476":631,"478":636,"479":638,"480":639,"481":641,"482":642,"483":643,"485":646,"486":647,"487":648,"489":650,"490":651,"491":652,"492":653,"494":657,"495":658,"497":661,"498":662,"499":664,"500":666,"501":667,"502":668,"503":669,"504":671,"505":672,"506":673,"507":674,"508":676,"509":677,"510":678,"511":679,"512":680,"514":686,"516":688,"517":689,"518":690,"519":691,"520":693,"521":694,"522":696,"524":698,"525":702,"526":705,"527":706,"528":707,"531":710,"532":711,"533":712,"534":713,"536":716,"537":717,"538":718,"539":720,"540":721,"541":722,"543":726,"544":728,"545":729,"546":730,"549":733,"551":736,"552":737,"554":739,"555":740,"556":741,"559":744,"560":745,"561":746,"562":747,"563":748,"564":749,"565":750,"567":752,"568":753,"569":755,"570":756,"571":757,"572":759,"573":760,"575":763,"577":767,"578":768,"579":771,"580":772,"582":774,"583":775,"584":776,"586":781,"587":782,"588":783,"589":784,"590":786,"591":787,"593":790,"594":791,"595":793,"597":796,"599":799,"600":800,"601":801,"602":802,"603":803,"604":804,"605":805,"607":808,"608":809,"609":810,"610":811,"611":813,"613":816,"614":817,"615":818,"616":819,"617":820,"618":821,"619":822,"620":824,"621":825,"623":828,"624":829,"625":830,"627":832,"628":834,"629":836,"630":837,"632":840,"633":841,"634":846,"635":847,"636":853,"637":854,"638":855,"640":858,"641":859,"642":860,"643":861,"644":862,"645":864,"646":865,"647":866,"648":867,"649":869,"650":870,"651":871,"652":873,"653":876,"655":880,"656":881,"658":883,"659":884,"660":885,"661":886,"662":888,"663":889,"665":896,"667":898,"671":1030,"672":1031,"673":1032,"674":1033,"676":1035,"677":1036,"678":1038,"679":1039,"681":1041,"682":1043,"683":1044,"684":1045,"686":1047,"687":1048,"689":1050,"690":1051,"691":1053,"692":1054,"693":1055,"694":1057,"695":1058,"696":1062,"697":1063,"699":1065,"705":1072,"706":1073,"709":1078,"710":1079,"711":1080,"714":1083,"715":1084,"716":1085,"718":1090,"719":1091,"720":1092,"721":1093,"723":1095,"727":1101,"729":1108,"730":1109,"731":1111,"732":1112,"734":1114,"735":1115,"737":1117,"738":1118,"739":1119,"740":1121,"743":1124,"744":1125,"746":1127,"747":1128,"748":1129,"751":1133,"752":1135,"753":1136,"754":1137,"755":1138,"757":1140,"759":1142,"761":1144,"762":1145,"766":1150,"767":1151,"773":1159,"774":1160,"775":1161,"776":1162,"777":1164,"778":1165,"780":1167,"781":1168,"782":1169,"783":1170,"785":1172,"786":1173,"787":1174,"790":1178,"793":1181,"794":1182,"795":1183,"797":1185,"798":1186,"799":1187,"801":1189,"802":1191,"803":1193,"805":1197,"806":1199,"810":1203,"811":1205,"812":1206,"813":1207,"814":1208,"815":1209,"816":1211,"817":1213,"819":1219,"820":1220,"821":1221,"822":1223,"824":1230,"825":1232,"826":1233,"828":1240,"829":1241,"831":1244,"833":1249,"834":1250,"835":1252,"837":1254,"840":1257,"841":1259,"842":1260,"843":1261,"844":1262,"845":1264,"847":1266,"849":1268,"850":1269,"851":1270,"852":1271,"853":1272,"858":1278,"859":1279,"860":1280,"861":1281,"862":1282,"863":1283,"865":1285,"866":1287,"867":1288,"868":1289,"869":1290,"870":1293,"871":1295,"872":1296,"873":1297,"874":1299,"877":1303,"878":1304,"879":1305,"880":1307,"881":1308,"882":1309,"883":1311,"886":1317,"887":1318,"889":1320,"890":1323,"893":1329,"894":1330,"895":1331,"897":1334,"898":1336,"899":1339,"900":1340,"901":1343,"902":1344,"903":1345,"905":1347,"908":1350,"909":1351,"912":1354,"914":1356,"918":1361,"919":1362,"920":1364,"922":1366,"923":1367,"924":1368,"925":1369,"927":1371,"928":1372,"932":1376,"933":1377,"934":1378,"935":1379,"936":1381,"937":1382,"939":1384,"940":1385,"941":1386,"942":1387,"943":1388,"944":1389,"945":1390,"946":1391,"947":1392,"949":1394,"952":1397,"955":1400,"957":1404,"960":1407,"961":1409,"962":1411,"963":1413,"964":1414,"965":1415,"966":1418,"967":1420,"968":1422,"969":1423,"970":1424,"971":1425,"972":1426,"973":1427,"974":1428,"975":1430,"976":1431,"979":1437,"981":1439,"982":1440,"984":1443,"985":1444,"986":1445,"987":1446,"988":1447,"989":1448,"990":1450,"991":1453,"992":1454,"993":1456,"994":1457,"995":1459,"997":1461,"1000":1464,"1002":1466,"1003":1467,"1005":1470,"1009":1475,"1010":1476,"1011":1478,"1015":1484,"1017":1486,"1018":1487,"1019":1488,"1021":1490,"1022":1492,"1023":1493,"1025":1495,"1026":1496,"1027":1497,"1028":1498,"1029":1499,"1033":1504,"1034":1505,"1037":1508,"1038":1509,"1041":1515,"1042":1516,"1045":1519,"1048":1522,"1049":1523,"1050":1524,"1051":1525,"1052":1527,"1053":1528,"1054":1529,"1055":1530,"1056":1531,"1057":1533,"1058":1535,"1059":1537,"1060":1538,"1061":1541,"1062":1543,"1063":1544,"1064":1545,"1066":1548,"1068":1550,"1070":1552,"1071":1553,"1072":1554,"1074":1557,"1077":1560,"1078":1567,"1079":1568,"1080":1569,"1081":1571,"1082":1573,"1083":1576,"1084":1577,"1086":1579,"1087":1581,"1088":1582,"1090":1584,"1091":1585,"1092":1586,"1093":1587,"1094":1588,"1095":1589,"1096":1590,"1097":1591,"1098":1592,"1099":1594,"1103":1601,"1104":1602,"1105":1606,"1106":1607,"1108":1611,"1110":1613,"1112":1615,"1113":1616,"1114":1617,"1115":1620,"1116":1622,"1117":1624,"1118":1626,"1119":1628,"1120":1629,"1121":1630,"1122":1631,"1123":1632,"1124":1633,"1125":1634,"1126":1635,"1128":1638,"1129":1639,"1130":1640,"1131":1642,"1132":1644,"1133":1645,"1134":1646,"1135":1648,"1136":1650,"1138":1653,"1139":1654,"1141":1656,"1142":1661,"1145":1664,"1146":1665,"1147":1669,"1148":1670,"1149":1671,"1151":1673,"1152":1674,"1154":1677,"1156":1679,"1157":1682,"1159":1684,"1161":1687,"1164":1691,"1165":1692,"1166":1693,"1167":1694,"1168":1695,"1169":1696,"1170":1697,"1171":1698,"1172":1699,"1173":1700,"1174":1701,"1175":1705,"1178":1710,"1180":1712,"1182":1714,"1183":1717,"1184":1719,"1185":1720,"1186":1722,"1187":1724,"1188":1727,"1189":1728,"1190":1730,"1191":1731,"1193":1733,"1194":1735,"1195":1736,"1196":1737,"1197":1738,"1199":1741,"1200":1743,"1201":1744,"1202":1745,"1203":1746,"1205":1748,"1206":1749,"1207":1750,"1208":1751,"1209":1752,"1210":1753,"1212":1755,"1213":1756,"1216":1763,"1217":1764,"1219":1766,"1220":1767,"1222":1770,"1223":1771,"1225":1776,"1227":1779,"1229":1781,"1230":1782,"1231":1784,"1232":1787,"1233":1788,"1234":1789,"1235":1790,"1236":1793,"1237":1795,"1239":1798,"1240":1800,"1241":1801,"1242":1802,"1244":1806,"1245":1808,"1246":1809,"1247":1810,"1248":1811,"1249":1812,"1251":1816,"1252":1817,"1254":1819,"1255":1820,"1256":1821,"1257":1823,"1258":1824,"1259":1825,"1261":1828,"1262":1829,"1264":1831,"1265":1833,"1267":1836,"1268":1837,"1269":1838,"1271":1840,"1273":1844,"1274":1846,"1275":1849,"1276":1850,"1277":1851,"1279":1853,"1280":1854,"1282":1857,"1284":1859,"1285":1861,"1286":1862,"1288":1865,"1289":1867,"1290":1869,"1291":1870,"1292":1871,"1294":1873,"1295":1874,"1297":1876,"1298":1877,"1300":1880,"1301":1882,"1302":1883,"1303":1886,"1304":1887,"1306":1890,"1309":1893,"1310":1896,"1312":1898,"1313":1899,"1314":1900,"1315":1901,"1318":1904,"1320":1908,"1321":1909,"1322":1910,"1323":1911,"1325":1913,"1326":1915,"1328":1917,"1329":1918,"1330":1919,"1331":1920,"1332":1922,"1333":1923,"1334":2051,"1335":2052,"1337":2060,"1338":2062,"1339":2065,"1340":2066,"1341":2067,"1342":2078,"1343":2083,"1344":2084,"1345":2085,"1347":2095,"1348":2098,"1349":2099,"1350":2102,"1351":2104,"1354":2111,"1355":2114,"1356":2116,"1357":2117,"1358":2123,"1359":2128,"1360":2129,"1361":2130,"1362":2131,"1363":2132,"1364":2138,"1365":2140,"1366":2141,"1367":2144,"1368":2145,"1369":2146,"1371":2160,"1372":2165,"1374":2172,"1375":2173,"1376":2177,"1377":2181,"1378":2187,"1379":2189,"1380":2200,"1381":2201,"1382":2205,"1383":2208,"1384":2209,"1385":2212,"1386":2218,"1387":2219,"1388":2224,"1389":2226,"1390":2228,"1391":2230,"1393":2233,"1394":2244,"1395":2246,"1396":2249,"1397":2250,"1398":2251,"1399":2252,"1400":2253,"1401":2257,"1402":2261,"1404":2266,"1405":2269,"1406":2272,"1407":2273,"1410":2290,"1411":2294,"1412":2301,"1413":2302,"1414":2310,"1415":2312,"1416":2315,"1417":2319,"1418":2325,"1419":2327,"1421":2331,"1422":2332,"1423":2338,"1424":2340,"1425":2346,"1426":2349,"1427":2352,"1428":2357,"1429":2358,"1430":2359,"1431":2360,"1433":2362,"1434":2367,"1435":2370,"1436":2373,"1437":2375,"1438":2377,"1439":2378,"1440":2393,"1441":2394,"1442":2396,"1443":2397,"1444":2404,"1445":2405,"1446":2412,"1447":2414,"1448":2416,"1449":2421,"1450":2423,"1451":2426,"1452":2430,"1453":2431,"1455":2437,"1456":2441,"1457":2444,"1458":2446,"1459":2469,"1460":2474,"1461":2475,"1462":2479,"1463":2480,"1464":2481,"1465":2495,"1466":2505,"1467":2511,"1468":2513,"1469":2515,"1470":2517,"1471":2520,"1472":2526,"1473":2527,"1474":2529,"1476":2543,"1477":2550,"1478":2551,"1479":2553,"1480":2554,"1481":2555,"1482":2558,"1483":2575,"1485":2580,"1486":2581,"1487":2586,"1488":2588,"1489":2594,"1490":2603,"1491":2608,"1492":2614,"1493":2617,"1494":2619,"1496":2639,"1497":2642,"1498":2647,"1499":2649,"1500":2653,"1501":2654,"1502":2657,"1503":2658,"1504":2661,"1505":2663,"1506":2668,"1507":2672,"1508":2673,"1509":2674,"1510":2676,"1511":2677,"1512":2679,"1514":2681,"1515":2686,"1517":2695,"1518":2697,"1520":2709,"1521":2714,"1522":2717,"1523":2719,"1524":2722,"1525":2723,"1526":2726,"1527":2727,"1529":2735,"1530":2739,"1531":2740,"1532":2745,"1533":2747,"1535":2754,"1536":2757,"1537":2761,"1538":2765,"1539":2766,"1540":2768,"1541":2769,"1543":2780,"1544":2788,"1547":2792,"1548":2796,"1549":2798,"1550":2802,"1551":2813,"1552":2815,"1554":2818,"1556":2824,"1557":2829,"1558":2832,"1560":2843,"1562":2869,"1563":2870,"1564":2881,"1565":2883,"1566":2890,"1567":2898,"1569":2902,"1570":2903,"1571":2906,"1573":2909,"1574":2915,"1575":2919,"1578":2932,"1580":2937,"1581":2941,"1583":2963,"1584":2975,"1585":2977,"1586":2978,"1587":2982,"1588":2983,"1589":2988,"1590":2989,"1591":2991,"1592":2997,"1594":3005,"1595":3008,"1596":3010,"1597":3013,"1598":3016,"1599":3018,"1600":3019,"1601":3024,"1602":3028,"1603":3029,"1604":3038,"1605":3040,"1606":3041,"1607":3046,"1608":3049,"1609":3056,"1610":3060,"1611":3063,"1612":3064,"1613":3068,"1614":3070,"1616":3074,"1617":3075,"1618":3081,"1619":3084,"1620":3085,"1621":3090,"1622":3096,"1625":3105,"1626":3109,"1627":3111,"1628":3118,"1629":3138,"1630":3143,"1631":3146,"1634":3163,"1635":3171,"1636":3172,"1637":3173,"1639":3180,"1640":3192,"1641":3194,"1644":3197,"1645":3198,"1646":3199,"1647":3207,"1649":3221,"1650":3222,"1651":3228,"1652":3235,"1654":3245,"1655":3249,"1656":3251,"1657":3256,"1658":3262,"1661":3272,"1662":3273,"1663":3277,"1665":3283,"1666":3284,"1667":3286,"1668":3302,"1669":3303,"1670":3305,"1671":3307,"1673":3319,"1674":3321,"1675":3326,"1676":3330,"1677":3331,"1678":3334,"1679":3340,"1680":3346,"1681":3350,"1683":3362,"1685":3367,"1686":3373,"1687":3376,"1688":3383,"1690":3389,"1691":3390,"1692":3391,"1693":3398,"1694":3404,"1695":3414,"1696":3415,"1697":3416,"1698":3419,"1699":3421,"1700":3424,"1701":3425,"1702":3434,"1703":3439,"1704":3445,"1705":3448,"1706":3449,"1707":3450,"1708":3452,"1709":3453,"1710":3456,"1711":3462,"1712":3464,"1713":3469,"1714":3474,"1715":3478,"1716":3483,"1718":3487,"1719":3493,"1720":3500,"1723":3508,"1724":3511,"1725":3512,"1726":3516,"1730":3538,"1731":3539,"1732":3543,"1733":3548,"1734":3550,"1735":3551,"1736":3555,"1737":3556,"1738":3564,"1740":3581,"1742":3585,"1743":3586,"1744":3588,"1745":3590,"1746":3593,"1747":3594,"1748":3601,"1749":3606,"1750":3607,"1751":3609,"1753":3629,"1754":3648,"1755":3649,"1756":3650,"1757":3651,"1758":3657,"1759":3670,"1760":3677,"1761":3681,"1762":3684,"1764":3688,"1767":3711,"1768":3712,"1769":3713,"1770":3714,"1771":3716,"1772":3719,"1773":3720,"1774":3722,"1775":3723,"1776":3724,"1778":3736,"1779":3741,"1780":3745,"1781":3746,"1782":3747,"1783":3748,"1784":3755,"1785":3756,"1786":3763,"1787":3768,"1788":3770,"1789":3771,"1790":3773,"1792":3782,"1794":3788,"1795":3789,"1796":3794,"1798":3796,"1799":3801,"1800":3802,"1801":3806,"1802":3810,"1803":3814,"1804":3816,"1805":3818,"1806":3824,"1808":3827,"1809":3831,"1810":3833,"1811":3846,"1812":3847,"1813":3850,"1814":3853,"1815":3854,"1816":3855,"1817":3857,"1818":3860,"1819":3861,"1820":3870,"1821":3872,"1822":3875,"1823":3881,"1824":3885,"1825":3893,"1826":3895,"1827":3899,"1829":3911,"1830":3912,"1831":3915,"1832":3923,"1833":3933,"1834":3936,"1835":3942,"1838":3953,"1839":3954,"1840":3957,"1842":3971,"1843":3973,"1844":3974,"1846":3979,"1847":3981,"1849":3984,"1850":3993,"1851":3998,"1852":4001,"1853":4004,"1854":4005,"1855":4006,"1856":4012,"1857":4013,"1858":4016,"1860":4018,"1861":4027,"1862":4028,"1863":4033,"1864":4036,"1865":4040,"1866":4041,"1868":4047,"1869":4048,"1871":4052,"1872":4054,"1873":4058,"1875":4064,"1876":4065,"1877":4071,"1878":4075,"1879":4077,"1880":4082,"1881":4083},{"0":8,"1":11,"2":12,"3":21,"4":23,"5":28,"6":30,"7":32,"11":63,"12":71,"13":80,"15":86,"16":94,"17":96,"18":98,"19":100,"20":103,"21":116,"22":133,"23":134,"24":135,"26":139,"28":144,"30":154,"31":163,"33":179,"34":182,"36":186,"37":194,"38":196,"39":200,"40":206,"41":210,"42":211,"43":213,"44":217,"45":226,"46":227,"48":235,"49":238,"51":244,"52":247,"53":254,"54":255,"55":260,"56":262,"57":265,"58":273,"59":274,"60":275,"62":286,"63":289,"64":290,"65":293,"66":304,"67":307,"68":310,"69":311,"70":317,"71":319,"72":337,"73":360,"74":374,"75":376,"77":388,"78":395,"79":398,"80":403,"81":404,"82":416,"83":419,"84":422,"85":423,"86":428,"87":435,"88":453,"89":454,"91":460,"92":465,"93":467,"94":470,"95":471,"98":488,"99":503,"101":517,"102":521,"103":522,"104":526,"105":527,"106":529,"107":532,"108":540,"109":547,"110":550,"112":561,"113":575,"115":588,"116":590,"117":591,"118":595,"119":599,"120":609,"121":610,"122":617,"123":628,"124":632,"126":635,"127":640,"128":645,"129":654,"130":655,"131":659,"132":663,"134":681,"135":684,"136":685,"137":692,"138":695,"139":703,"140":704,"141":715,"142":719,"143":724,"145":734,"146":754,"147":758,"148":761,"149":766,"150":769,"152":777,"153":778,"154":780,"155":785,"156":789,"157":792,"158":795,"159":798,"160":807,"161":815,"162":823,"163":833,"164":835,"166":842,"167":843,"168":844,"169":845,"170":848,"171":849,"172":851,"173":852,"175":863,"177":874,"178":875,"179":877,"180":878,"181":890,"182":891,"183":892,"184":893,"185":899,"186":900,"189":906,"190":907,"193":910,"196":914,"197":916,"198":918,"201":924,"202":925,"204":931,"206":934,"207":936,"208":937,"211":941,"212":942,"213":943,"214":944,"215":946,"216":950,"217":951,"218":952,"220":955,"221":956,"222":957,"224":960,"225":964,"226":965,"227":966,"228":967,"230":969,"231":970,"233":972,"234":975,"236":977,"237":978,"238":979,"239":980,"241":983,"243":987,"245":989,"246":991,"247":992,"248":993,"249":997,"250":998,"253":1002,"256":1006,"257":1007,"260":1011,"263":1016,"268":1021,"270":1023,"271":1025,"272":1027,"274":1037,"276":1052,"277":1056,"278":1059,"279":1060,"280":1061,"281":1070,"282":1074,"283":1077,"284":1088,"286":1098,"288":1103,"289":1104,"290":1105,"291":1107,"293":1120,"294":1132,"296":1149,"297":1155,"298":1157,"301":1192,"302":1195,"303":1198,"304":1204,"305":1210,"306":1212,"307":1214,"308":1216,"309":1217,"310":1218,"311":1224,"312":1225,"313":1228,"314":1229,"315":1234,"317":1238,"320":1247,"321":1248,"322":1251,"324":1263,"327":1292,"328":1294,"330":1302,"331":1306,"332":1310,"333":1312,"334":1314,"335":1321,"336":1322,"337":1324,"338":1325,"340":1332,"341":1337,"342":1338,"343":1342,"344":1380,"345":1402,"346":1403,"347":1408,"350":1417,"351":1419,"352":1421,"353":1429,"354":1432,"355":1433,"356":1441,"357":1451,"359":1455,"360":1458,"361":1468,"362":1472,"363":1477,"364":1482,"365":1483,"368":1511,"369":1513,"370":1514,"372":1532,"373":1534,"374":1539,"375":1540,"376":1542,"377":1547,"378":1561,"379":1562,"381":1564,"382":1565,"383":1566,"384":1570,"385":1572,"386":1574,"387":1575,"388":1580,"389":1593,"390":1595,"391":1599,"393":1604,"394":1605,"395":1609,"396":1618,"397":1619,"398":1621,"399":1625,"400":1627,"401":1637,"402":1641,"403":1643,"404":1647,"405":1651,"407":1658,"409":1666,"410":1667,"411":1668,"412":1676,"413":1680,"414":1681,"415":1685,"416":1702,"417":1703,"418":1706,"419":1715,"420":1716,"421":1718,"422":1721,"423":1723,"424":1726,"425":1729,"426":1734,"427":1739,"428":1742,"429":1757,"430":1759,"431":1761,"432":1762,"433":1768,"435":1774,"436":1775,"437":1778,"438":1783,"439":1785,"440":1786,"441":1796,"442":1803,"443":1804,"444":1807,"446":1822,"447":1826,"448":1835,"449":1842,"450":1843,"451":1845,"452":1847,"453":1856,"454":1860,"455":1864,"456":1868,"457":1884,"458":1885,"459":1889,"460":1894,"462":1905,"463":1907,"467":1925,"469":1927,"470":1929,"471":1930,"472":1931,"473":1932,"475":1934,"476":1938,"477":1939,"479":1941,"480":1944,"481":1945,"483":1951,"487":1959,"488":1960,"489":1961,"490":1962,"493":1965,"494":1966,"495":1967,"496":1968,"497":1969,"498":1970,"499":1971,"500":1972,"503":1978,"504":1979,"505":1980,"507":1982,"508":1987,"509":1989,"510":1990,"511":1991,"513":1996,"515":2000,"516":2001,"517":2003,"518":2007,"519":2008,"520":2010,"521":2011,"523":2018,"524":2019,"525":2020,"526":2021,"527":2022,"528":2024,"529":2025,"530":2026,"531":2029,"532":2030,"533":2032,"534":2035,"537":2038,"539":2041,"542":2045,"543":2050,"544":2059,"545":2061,"546":2063,"547":2064,"548":2068,"549":2070,"550":2072,"551":2075,"552":2077,"553":2079,"554":2090,"557":2110,"558":2113,"559":2120,"560":2121,"561":2122,"562":2127,"563":2137,"564":2150,"566":2152,"567":2156,"568":2157,"569":2158,"570":2161,"571":2163,"572":2176,"573":2179,"574":2188,"575":2190,"576":2194,"577":2196,"578":2198,"579":2203,"580":2204,"581":2206,"582":2210,"583":2214,"584":2220,"585":2221,"586":2222,"587":2229,"588":2235,"589":2236,"590":2238,"591":2241,"592":2245,"593":2254,"594":2255,"595":2258,"596":2259,"598":2280,"600":2285,"601":2286,"602":2287,"603":2288,"605":2299,"606":2304,"608":2309,"609":2313,"610":2321,"612":2329,"613":2330,"614":2333,"615":2334,"616":2335,"617":2337,"618":2339,"619":2341,"620":2342,"621":2353,"622":2356,"623":2363,"624":2364,"625":2368,"626":2369,"627":2372,"629":2380,"630":2382,"631":2387,"632":2390,"633":2391,"634":2400,"635":2401,"636":2407,"637":2408,"638":2411,"640":2419,"641":2428,"644":2438,"645":2439,"646":2443,"647":2447,"648":2448,"649":2449,"650":2450,"651":2452,"652":2456,"653":2458,"654":2459,"655":2463,"656":2464,"657":2466,"658":2467,"659":2483,"661":2485,"662":2486,"663":2491,"664":2493,"665":2497,"666":2499,"667":2500,"669":2504,"670":2507,"671":2512,"672":2522,"673":2536,"676":2545,"677":2547,"678":2548,"679":2556,"680":2559,"681":2560,"682":2564,"683":2566,"684":2570,"685":2571,"686":2572,"687":2573,"688":2576,"689":2582,"691":2589,"692":2591,"695":2598,"697":2606,"698":2607,"699":2609,"700":2611,"701":2612,"702":2615,"703":2621,"704":2625,"705":2628,"706":2633,"707":2636,"708":2638,"710":2648,"711":2651,"712":2652,"713":2655,"714":2656,"715":2662,"716":2667,"717":2683,"718":2684,"719":2685,"720":2690,"721":2691,"722":2692,"723":2693,"724":2694,"725":2696,"726":2700,"727":2702,"728":2708,"729":2710,"730":2713,"731":2716,"732":2720,"733":2725,"735":2733,"736":2734,"737":2741,"738":2743,"739":2746,"740":2752,"741":2756,"742":2762,"743":2764,"744":2771,"745":2772,"746":2773,"747":2775,"748":2779,"749":2782,"750":2794,"751":2799,"752":2800,"753":2803,"754":2805,"755":2806,"756":2816,"757":2822,"758":2823,"759":2827,"761":2835,"762":2836,"763":2840,"765":2847,"766":2848,"767":2849,"768":2850,"769":2862,"770":2863,"772":2866,"773":2867,"774":2885,"776":2893,"777":2895,"778":2896,"779":2900,"780":2910,"782":2918,"783":2920,"784":2921,"786":2925,"787":2929,"788":2938,"789":2939,"790":2945,"791":2948,"792":2952,"794":2955,"796":2959,"797":2960,"798":2961,"799":2967,"800":2968,"801":2971,"802":2973,"803":2976,"804":2990,"805":2994,"806":2999,"807":3000,"808":3001,"809":3002,"810":3007,"812":3017,"813":3020,"814":3021,"815":3023,"816":3033,"817":3039,"819":3053,"820":3055,"821":3057,"822":3065,"823":3067,"824":3069,"825":3071,"827":3076,"828":3080,"829":3083,"830":3086,"831":3091,"832":3098,"833":3100,"834":3108,"835":3110,"836":3112,"837":3113,"839":3121,"840":3122,"842":3125,"844":3131,"845":3133,"846":3134,"847":3142,"848":3151,"849":3155,"850":3159,"852":3162,"853":3164,"854":3166,"855":3181,"856":3184,"857":3188,"858":3189,"859":3193,"861":3201,"862":3206,"863":3208,"864":3212,"865":3217,"866":3218,"867":3227,"868":3236,"869":3237,"870":3238,"871":3240,"872":3241,"873":3242,"874":3246,"875":3247,"876":3248,"877":3250,"878":3259,"879":3265,"880":3267,"881":3276,"882":3278,"883":3282,"884":3285,"886":3288,"887":3291,"888":3297,"889":3300,"890":3301,"891":3309,"892":3311,"893":3312,"894":3314,"895":3315,"896":3318,"897":3325,"898":3328,"899":3329,"900":3332,"902":3345,"903":3347,"904":3349,"905":3351,"906":3356,"907":3359,"908":3361,"909":3363,"910":3369,"912":3381,"913":3385,"914":3392,"916":3397,"917":3400,"918":3401,"919":3405,"920":3406,"922":3409,"923":3410,"924":3412,"925":3413,"926":3418,"928":3429,"929":3431,"931":3436,"932":3438,"933":3441,"934":3451,"935":3454,"936":3457,"937":3458,"938":3459,"939":3460,"940":3461,"941":3467,"942":3470,"943":3472,"945":3486,"946":3489,"947":3490,"948":3492,"949":3497,"950":3501,"951":3503,"952":3506,"953":3509,"954":3518,"955":3519,"957":3527,"958":3528,"959":3530,"960":3535,"961":3544,"962":3545,"963":3546,"964":3552,"965":3554,"966":3558,"967":3559,"968":3566,"969":3568,"970":3569,"972":3573,"973":3574,"974":3575,"975":3578,"976":3582,"978":3595,"979":3597,"980":3599,"981":3600,"982":3602,"983":3608,"984":3610,"985":3614,"986":3616,"987":3617,"988":3619,"989":3620,"990":3627,"991":3628,"992":3630,"993":3634,"994":3635,"995":3636,"996":3640,"998":3654,"999":3660,"1000":3661,"1001":3663,"1002":3667,"1003":3674,"1004":3676,"1006":3690,"1007":3691,"1008":3694,"1009":3698,"1011":3701,"1012":3703,"1014":3709,"1015":3710,"1016":3721,"1017":3725,"1019":3731,"1020":3735,"1021":3744,"1022":3749,"1023":3751,"1024":3752,"1025":3753,"1028":3769,"1029":3776,"1030":3780,"1031":3784,"1032":3786,"1034":3790,"1035":3791,"1036":3807,"1037":3808,"1039":3813,"1040":3821,"1041":3823,"1042":3826,"1043":3829,"1044":3830,"1045":3837,"1046":3841,"1047":3843,"1048":3845,"1049":3851,"1050":3852,"1051":3856,"1052":3865,"1053":3868,"1054":3871,"1055":3880,"1056":3882,"1057":3883,"1058":3887,"1059":3888,"1060":3892,"1061":3896,"1062":3902,"1063":3905,"1064":3906,"1065":3909,"1066":3910,"1067":3914,"1068":3921,"1069":3922,"1070":3928,"1071":3932,"1072":3934,"1073":3935,"1074":3937,"1075":3940,"1076":3946,"1077":3950,"1078":3951,"1079":3956,"1080":3961,"1081":3962,"1082":3963,"1083":3964,"1084":3977,"1085":3980,"1086":3983,"1087":3987,"1088":3989,"1090":3992,"1091":3996,"1092":4008,"1093":4010,"1094":4015,"1096":4022,"1097":4024,"1098":4029,"1099":4034,"1100":4035,"1101":4037,"1102":4038,"1105":4050,"1106":4057,"1107":4060,"1109":4062,"1110":4073,"1111":4076,"1112":4093},{"0":1,"1":140,"2":142,"3":207,"4":216,"5":225,"6":236,"7":237,"8":263,"9":266,"10":331,"11":356,"12":362,"13":380,"14":389,"15":390,"16":408,"17":409,"18":427,"19":461,"20":483,"21":533,"22":548,"23":569,"24":577,"26":596,"27":604,"28":621,"29":629,"30":665,"31":675,"32":682,"33":699,"34":700,"37":765,"38":812,"39":850,"40":872,"41":895,"42":902,"43":913,"44":915,"45":920,"46":921,"47":923,"48":926,"49":930,"50":932,"51":935,"53":947,"54":949,"55":961,"56":962,"57":973,"58":974,"59":982,"60":984,"61":985,"62":990,"63":994,"64":995,"65":996,"66":999,"67":1005,"72":1099,"73":1163,"74":1222,"75":1227,"76":1231,"77":1237,"78":1243,"79":1277,"80":1313,"81":1335,"82":1341,"83":1358,"84":1363,"85":1436,"86":1449,"88":1555,"89":1598,"90":1623,"91":1649,"92":1660,"93":1689,"94":1704,"95":1707,"96":1725,"97":1791,"98":1792,"99":1794,"100":1799,"101":1813,"102":1832,"103":1848,"104":1866,"105":1881,"106":1928,"107":1935,"108":1936,"109":1937,"110":1942,"111":1943,"112":1946,"113":1948,"114":1949,"115":1955,"116":1957,"117":1958,"119":1975,"120":1976,"121":1984,"122":1985,"123":1986,"124":1988,"125":1998,"126":2002,"127":2004,"128":2005,"129":2006,"130":2009,"131":2012,"133":2014,"136":2023,"137":2027,"138":2028,"140":2034,"141":2040,"143":2046,"144":2047,"145":2049,"146":2058,"147":2069,"148":2074,"149":2081,"150":2088,"151":2091,"152":2094,"153":2097,"154":2101,"155":2108,"156":2115,"157":2118,"158":2136,"159":2148,"160":2154,"161":2155,"162":2162,"163":2164,"164":2166,"165":2170,"166":2174,"167":2175,"168":2180,"169":2184,"170":2193,"171":2197,"172":2207,"173":2211,"174":2215,"175":2216,"176":2217,"177":2225,"178":2227,"179":2237,"180":2256,"181":2262,"182":2268,"183":2281,"184":2283,"185":2293,"186":2298,"187":2300,"188":2305,"189":2306,"190":2308,"191":2317,"192":2323,"193":2350,"194":2354,"195":2384,"196":2389,"197":2392,"198":2395,"199":2402,"200":2417,"201":2422,"202":2424,"203":2442,"204":2445,"205":2451,"206":2453,"207":2457,"208":2465,"209":2468,"210":2472,"211":2473,"212":2477,"213":2487,"214":2488,"215":2489,"216":2490,"217":2492,"218":2498,"219":2514,"220":2519,"221":2524,"222":2530,"223":2533,"224":2539,"226":2546,"227":2549,"228":2552,"229":2574,"230":2579,"231":2596,"232":2599,"233":2629,"234":2635,"236":2660,"237":2664,"238":2704,"239":2705,"240":2711,"241":2712,"242":2718,"243":2730,"244":2744,"245":2751,"246":2763,"247":2770,"248":2804,"249":2807,"250":2809,"251":2810,"253":2826,"254":2833,"255":2834,"256":2839,"257":2844,"258":2845,"259":2853,"260":2854,"261":2858,"262":2861,"263":2873,"264":2874,"265":2875,"266":2884,"267":2886,"268":2891,"269":2897,"270":2904,"271":2905,"272":2908,"274":2916,"275":2924,"276":2926,"277":2927,"278":2933,"279":2940,"280":2943,"281":2944,"282":2947,"283":2953,"284":2962,"286":2969,"287":2980,"288":2984,"290":3006,"291":3011,"292":3032,"293":3034,"295":3047,"296":3050,"297":3051,"298":3059,"299":3062,"300":3077,"301":3082,"302":3087,"303":3088,"304":3089,"305":3099,"306":3101,"307":3103,"308":3106,"309":3117,"310":3120,"311":3123,"312":3130,"313":3132,"314":3145,"315":3150,"316":3152,"317":3154,"318":3157,"319":3167,"320":3170,"321":3175,"322":3177,"323":3178,"324":3183,"325":3186,"326":3191,"327":3203,"328":3204,"329":3216,"330":3223,"331":3226,"332":3252,"333":3253,"334":3270,"335":3279,"336":3292,"338":3296,"339":3298,"340":3304,"341":3320,"342":3323,"343":3324,"344":3339,"345":3348,"346":3360,"347":3364,"348":3366,"350":3372,"351":3375,"352":3387,"353":3395,"355":3420,"356":3423,"358":3428,"359":3430,"360":3437,"361":3440,"362":3443,"363":3444,"364":3455,"365":3463,"366":3465,"367":3468,"368":3475,"369":3479,"370":3480,"371":3482,"372":3488,"374":3499,"375":3502,"376":3513,"377":3514,"378":3524,"380":3526,"381":3531,"382":3533,"383":3540,"384":3541,"385":3549,"386":3553,"387":3557,"388":3567,"389":3572,"390":3577,"391":3579,"392":3580,"393":3596,"394":3603,"395":3613,"397":3623,"398":3632,"399":3633,"400":3639,"401":3641,"402":3643,"403":3672,"404":3675,"405":3679,"406":3699,"407":3702,"408":3715,"409":3717,"410":3730,"411":3732,"412":3734,"413":3760,"414":3764,"415":3775,"416":3781,"417":3792,"418":3793,"419":3798,"420":3799,"421":3805,"422":3815,"423":3817,"424":3819,"425":3838,"426":3840,"427":3859,"428":3866,"429":3867,"430":3869,"431":3873,"432":3874,"433":3884,"434":3890,"435":3897,"436":3898,"437":3900,"439":3919,"440":3925,"442":3929,"443":3947,"444":3952,"445":3955,"446":3958,"448":3972,"449":3975,"450":3976,"451":3994,"452":4000,"453":4003,"455":4014,"456":4019,"457":4023,"458":4030,"459":4031,"460":4032,"461":4042,"462":4044,"463":4055,"464":4068,"465":4069,"466":4074,"467":4079,"468":4085,"469":4088,"470":4091,"471":4092},{"0":417,"1":637,"2":827,"3":887,"4":903,"5":905,"6":917,"7":927,"8":928,"10":948,"11":953,"12":963,"13":1196,"14":1416,"15":1608,"16":1878,"17":1947,"18":1954,"19":1983,"20":1993,"21":1994,"22":1995,"23":1999,"24":2033,"25":2080,"26":2082,"27":2086,"28":2092,"29":2096,"30":2105,"32":2119,"33":2125,"34":2142,"35":2147,"36":2167,"37":2168,"38":2178,"39":2185,"41":2265,"42":2297,"43":2322,"44":2351,"45":2365,"46":2366,"47":2398,"48":2409,"49":2418,"50":2425,"51":2429,"52":2433,"53":2435,"54":2462,"55":2470,"56":2494,"57":2538,"58":2557,"59":2561,"60":2562,"61":2584,"64":2602,"65":2626,"66":2630,"67":2650,"68":2659,"69":2671,"70":2675,"71":2678,"72":2687,"73":2688,"74":2706,"75":2736,"76":2753,"77":2777,"78":2783,"79":2786,"80":2791,"81":2795,"82":2797,"83":2801,"84":2808,"85":2820,"86":2828,"88":2852,"89":2857,"90":2888,"91":2889,"92":2917,"95":2972,"96":2998,"97":3003,"98":3027,"99":3030,"100":3043,"101":3052,"102":3066,"103":3078,"104":3097,"105":3114,"106":3116,"107":3136,"108":3139,"109":3140,"110":3148,"111":3158,"112":3169,"113":3179,"114":3190,"116":3209,"117":3220,"118":3224,"119":3229,"120":3231,"121":3233,"122":3261,"123":3271,"124":3275,"125":3294,"126":3306,"127":3313,"128":3316,"129":3317,"130":3337,"131":3342,"132":3352,"133":3354,"134":3355,"135":3357,"136":3394,"137":3399,"138":3426,"139":3435,"140":3466,"141":3491,"142":3507,"143":3542,"144":3563,"145":3598,"146":3611,"147":3618,"148":3621,"149":3624,"152":3652,"153":3653,"154":3669,"155":3693,"156":3696,"157":3706,"158":3727,"159":3739,"160":3750,"161":3759,"162":3797,"163":3803,"164":3812,"165":3822,"166":3835,"167":3836,"168":3842,"171":3891,"172":3903,"173":3924,"174":3938,"175":3948,"176":3967,"177":4007,"178":4011,"179":4043,"180":4080,"181":4086,"182":4095},{"0":958,"1":2054,"3":2134,"4":2143,"5":2153,"6":2186,"7":2192,"8":2213,"9":2242,"10":2243,"12":2279,"13":2311,"14":2388,"15":2406,"16":2415,"17":2471,"18":2476,"19":2478,"20":2496,"21":2502,"22":2503,"23":2508,"25":2531,"26":2565,"28":2605,"29":2634,"31":2698,"32":2728,"33":2737,"34":2738,"36":2748,"37":2758,"39":2831,"41":2879,"42":2899,"43":2930,"44":2951,"45":2958,"46":2970,"47":2981,"48":2985,"49":3035,"50":3048,"51":3141,"52":3160,"54":3187,"55":3210,"57":3213,"58":3215,"59":3234,"60":3254,"62":3299,"63":3322,"64":3371,"65":3407,"66":3411,"67":3417,"68":3471,"69":3481,"70":3494,"71":3498,"72":3517,"73":3532,"74":3537,"75":3562,"76":3592,"77":3655,"78":3656,"79":3659,"80":3666,"81":3668,"82":3671,"83":3689,"85":3697,"86":3707,"87":3766,"88":3778,"89":3820,"90":3828,"91":3832,"92":3877,"93":3879,"94":3907,"95":3917,"96":3960,"97":3985,"99":4021,"100":4051,"101":4067},{"1":2100,"4":2247,"5":2318,"6":2343,"7":2344,"8":2376,"9":2460,"10":2521,"11":2537,"12":2618,"13":2627,"14":2760,"17":2781,"18":2814,"20":2877,"21":2882,"22":2911,"23":2931,"24":2935,"25":2949,"26":2965,"28":2996,"29":3025,"30":3031,"32":3119,"33":3126,"34":3144,"35":3153,"36":3230,"37":3274,"38":3290,"39":3338,"40":3382,"42":3473,"43":3476,"44":3496,"45":3515,"47":3631,"48":3638,"50":3662,"51":3664,"53":3767,"55":3844,"56":3858,"57":3878,"58":3904,"59":3916,"60":3920,"62":3995,"63":4056,"65":4081},{"0":2076,"1":2124,"2":2275,"4":2278,"5":2291,"6":2292,"7":2296,"9":2345,"10":2348,"11":2355,"12":2399,"13":2427,"14":2534,"15":2563,"16":2569,"17":2585,"18":2592,"20":2699,"22":2864,"23":2872,"24":2912,"25":2950,"26":2974,"27":3022,"30":3244,"34":3377,"36":3520,"37":3523,"38":3560,"39":3565,"41":3625,"42":3647,"43":3673,"44":3686,"45":3718,"46":3758,"47":3765,"49":3809,"50":3848,"52":4084},{"0":2135,"2":2202,"3":2223,"5":2270,"6":2320,"7":2374,"8":2509,"9":2525,"10":2597,"13":2787,"14":2812,"16":2986,"17":3054,"18":3061,"19":3214,"20":3308,"22":3432,"24":3576,"25":3612,"27":3762,"28":3864,"29":3988,"30":4066},{"1":2126,"5":2610,"9":2729,"10":2992,"12":3042,"14":3341,"17":3685,"18":3742,"19":3761,"21":3908,"23":3945,"24":3966},{"6":2750,"8":2838,"9":3012,"11":3128,"12":3225,"16":3726,"19":3774},{"0":2048,"2":2276,"10":2979,"12":3093,"16":3547,"18":3678},{"4":2381,"7":2568,"15":3289},[2314],[],[],[],[],[],[],[],[],[],[],[]]