[{"0":0,"5":8,"9":12,"10":13,"11":15,"12":16,"14":19,"15":20,"16":23,"17":24,"20":28,"22":31,"23":32,"27":37,"29":40,"30":41,"31":42,"32":43,"33":44,"34":45,"35":46,"36":48,"37":49,"38":50,"39":51,"40":52,"41":54,"42":55,"43":56,"45":59,"46":60,"47":61,"48":62,"51":66,"52":67,"53":68,"56":72,"57":74,"58":75,"62":80,"63":81,"64":82,"65":83,"66":84,"68":86,"69":87,"70":89,"71":91,"72":92,"73":93,"74":94,"75":96,"78":99,"80":101,"81":102,"85":106,"87":108,"93":116,"94":117,"95":118,"96":119,"99":124,"100":125,"101":126,"102":127,"103":128,"106":132,"107":134,"108":135,"110":137,"111":138,"113":141,"114":143,"115":144,"117":146,"118":147,"119":148,"120":149,"121":150,"122":151,"123":152,"124":153,"126":156,"127":157,"128":159,"129":161,"131":164,"132":165,"134":170,"135":171,"137":173,"138":176,"139":177,"140":178,"141":179,"143":181,"144":182,"146":184,"147":185,"148":186,"149":188,"150":189,"151":191,"152":192,"153":193,"154":194,"155":195,"156":196,"157":198,"159":201,"161":203,"162":204,"163":205,"164":206,"165":208,"166":209,"167":211,"168":212,"169":214,"171":217,"172":218,"173":220,"174":222,"176":225,"177":226,"179":228,"180":229,"181":230,"183":232,"185":234,"186":235,"187":236,"189":239,"190":240,"191":241,"192":242,"193":243,"194":244,"195":245,"196":247,"198":249,"200":251,"202":254,"208":262,"209":265,"210":267,"211":268,"212":269,"213":271,"214":272,"215":273,"216":274,"218":276,"222":280,"223":283,"224":284,"225":285,"226":286,"227":287,"228":289,"230":291,"231":292,"232":293,"233":296,"234":297,"235":298,"237":300,"239":302,"240":303,"241":304,"243":306,"245":309,"246":311,"247":312,"248":313,"249":314,"250":317,"256":324,"258":327,"259":328,"262":332,"263":333,"264":335,"265":337,"269":341,"270":342,"271":343,"272":345,"273":346,"274":347,"275":348,"276":349,"277":350,"278":351,"279":352,"281":355,"283":359,"285":361,"286":362,"288":364,"290":366,"291":367,"292":370,"293":372,"294":376,"295":377,"296":378,"298":380,"300":382,"301":387,"302":388,"303":389,"304":391,"305":392,"306":393,"308":395,"310":397,"311":398,"313":401,"317":407,"318":411,"319":413,"320":415,"321":417,"322":418,"323":420,"324":424,"325":425,"326":426,"327":428,"328":430,"330":432,"332":435,"333":437,"334":438,"335":439,"336":440,"337":442,"339":445,"340":446,"341":447,"342":448,"343":449,"344":450,"345":452,"346":453,"347":455,"348":456,"349":457,"350":459,"351":461,"352":463,"353":464,"354":466,"355":467,"356":468,"357":469,"358":470,"359":471,"360":472,"361":473,"362":474,"363":475,"364":476,"365":477,"367":481,"369":483,"370":484,"371":486,"372":487,"373":488,"375":490,"376":491,"377":492,"378":493,"379":494,"380":495,"381":496,"382":498,"383":499,"384":501,"385":502,"386":504,"387":505,"389":508,"390":509,"393":513,"394":514,"395":515,"397":518,"398":519,"399":520,"400":521,"401":523,"403":525,"404":526,"405":527,"406":528,"407":530,"408":531,"409":532,"410":533,"411":534,"412":535,"413":536,"414":538,"415":539,"416":540,"417":541,"418":543,"420":545,"421":547,"422":548,"424":552,"425":553,"426":554,"427":556,"428":557,"429":559,"431":562,"432":563,"433":564,"434":565,"435":566,"437":568,"439":571,"442":574,"443":575,"444":577,"446":579,"447":580,"448":581,"449":582,"450":583,"451":584,"452":585,"454":587,"455":588,"456":589,"457":591,"458":592,"459":593,"460":594,"461":595,"462":596,"463":597,"466":600,"467":601,"468":602,"470":604,"471":605,"473":608,"474":609,"475":610,"476":611,"477":612,"478":613,"479":614,"480":615,"481":616,"483":619,"484":621,"485":622,"486":624,"487":626,"489":630,"490":631,"491":632,"492":633,"493":634,"494":635,"495":637,"496":638,"497":639,"498":640,"500":643,"501":644,"502":648,"503":649,"504":650,"505":653,"506":654,"507":656,"508":658,"509":659,"511":662,"513":665,"514":666,"515":667,"516":669,"517":671,"519":673,"520":674,"521":676,"522":677,"523":678,"524":679,"526":681,"527":1024,"529":1026,"530":1027,"534":1032,"535":1033,"541":1039,"542":1040,"543":1041,"545":1043,"546":1046,"547":1047,"548":1048,"551":1051,"555":1055,"556":1056,"565":1065,"566":1066,"568":1068,"569":1069,"571":1072,"572":1073,"574":1075,"575":1076,"577":1078,"578":1079,"579":1081,"580":1082,"581":1083,"582":1084,"584":1087,"585":1088,"586":1090,"587":1091,"588":1093,"590":1095,"591":1096,"592":1097,"594":1101,"597":1104,"598":1105,"601":1109,"603":1112,"604":1114,"605":1115,"608":1118,"610":1121,"614":1125,"615":1126,"617":1128,"618":1129,"619":1132,"620":1133,"622":1138,"624":1140,"625":1142,"626":1144,"627":1145,"628":1147,"630":1149,"634":1153,"635":1154,"636":1155,"637":1156,"638":1157,"639":1158,"640":1159,"641":1160,"642":1161,"643":1162,"645":1165,"646":1166,"647":1168,"648":1170,"651":1175,"652":1176,"653":1177,"655":1179,"657":1181,"658":1182,"659":1183,"661":1186,"662":1188,"663":1190,"664":1192,"665":1194,"666":1195,"669":1199,"670":1200,"671":1202,"673":1206,"674":1207,"675":1208,"678":1211,"680":1213,"681":1214,"682":1215,"683":1216,"684":1217,"685":1218,"686":1219,"690":1224,"691":1225,"693":1227,"694":1228,"695":1230,"698":1234,"700":1236,"701":1237,"702":1238,"703":1239,"705":1242,"706":1244,"708":1246,"709":1247,"711":1249,"712":1251,"713":1252,"714":1254,"718":1258,"720":1260,"721":1261,"726":1266,"727":1267,"728":1268,"730":1270,"731":1271,"733":1274,"736":1278,"738":1280,"740":1283,"741":1284,"743":1288,"744":1289,"745":1290,"747":1292,"751":1298,"753":1302,"756":1306,"757":1307,"759":1310,"760":1311,"764":1316,"766":1319,"767":1320,"768":1321,"769":1323,"770":1324,"772":1326,"773":1327,"774":1328,"776":1330,"777":1332,"779":1334,"780":1335,"781":1336,"782":1337,"783":1338,"786":1341,"787":1342,"788":1344,"789":1345,"792":1348,"793":1349,"795":1352,"797":1355,"798":1356,"799":1358,"800":1359,"803":1362,"804":1364,"805":1365,"806":1366,"807":1367,"808":1368,"809":1370,"810":1371,"811":1375,"813":1377,"814":1378,"816":1380,"817":1381,"818":1382,"821":1385,"822":1388,"825":1391,"826":1392,"827":1394,"829":1398,"830":1399,"831":1403,"834":1410,"836":1413,"837":1414,"838":1416,"839":1417,"840":1418,"842":1421,"843":1422,"845":1425,"846":1426,"847":1427,"849":1429,"850":1430,"851":1431,"852":1434,"853":1435,"854":1436,"855":1437,"859":1443,"860":1444,"861":1447,"862":1448,"865":1451,"866":1453,"867":1455,"868":1456,"869":1457,"870":1458,"871":1459,"872":1460,"873":1462,"874":1464,"875":1465,"877":1468,"878":1469,"879":1470,"881":1472,"882":1474,"883":1475,"884":1476,"885":1477,"887":1481,"888":1483,"889":1484,"890":1486,"891":1487,"892":1488,"893":1489,"894":1490,"895":1491,"898":1497,"900":1500,"901":1501,"903":1507,"904":1508,"905":1509,"906":1510,"907":1512,"908":1513,"909":1515,"911":1517,"912":1519,"914":1521,"915":1522,"916":1523,"917":1524,"918":1526,"919":1527,"921":1529,"922":1530,"923":1531,"924":1532,"926":1534,"927":1536,"928":1537,"929":1539,"930":1541,"931":1542,"932":1544,"933":1545,"934":1546,"935":1547,"936":1549,"937":1550,"938":1551,"939":1552,"940":1553,"941":1554,"942":1555,"943":1556,"944":1558,"945":1559,"946":1560,"947":1561,"948":1562,"952":1566,"953":1568,"954":1569,"955":1570,"956":1572,"957":1575,"958":1577,"959":1578,"961":1580,"962":1581,"963":1582,"964":1583,"965":1584,"966":1585,"967":1586,"968":1587,"969":1590,"970":1592,"971":1593,"972":1595,"973":1598,"974":1599,"975":1600,"976":1601,"977":1602,"980":1605,"981":1606,"982":1608,"983":1609,"985":1613,"986":1614,"987":1615,"988":1616,"989":1617,"990":1618,"991":1619,"992":1620,"993":1621,"994":1622,"996":1624,"997":1625,"998":1626,"999":1627,"1000":1628,"1001":1629,"1003":1631,"1004":1633,"1005":1634,"1006":1635,"1007":1636,"1008":1637,"1009":1638,"1010":1639,"1011":1640,"1012":1641,"1013":1645,"1014":1646,"1015":1649,"1016":1650,"1018":1652,"1019":1653,"1020":1655,"1021":1657,"1023":1659,"1024":1660,"1025":1661,"1027":1667,"1028":1669,"1029":1672,"1030":1673,"1031":1674,"1032":1675,"1034":1677,"1035":1679,"1036":1680,"1037":1681,"1039":1685,"1040":1687,"1041":1689,"1042":1690,"1043":1691,"1044":1693,"1045":1694,"1047":1697,"1052":2052,"1053":2056,"1054":2067,"1055":2082,"1056":2088,"1057":2093,"1058":2094,"1060":2108,"1061":2110,"1062":2127,"1065":2134,"1066":2141,"1067":2142,"1068":2143,"1069":2146,"1071":2152,"1072":2157,"1074":2163,"1075":2165,"1076":2166,"1078":2175,"1079":2178,"1081":2200,"1082":2202,"1083":2205,"1084":2211,"1085":2212,"1087":2227,"1089":2240,"1091":2248,"1092":2254,"1094":2256,"1095":2264,"1096":2265,"1097":2267,"1098":2278,"1099":2299,"1100":2300,"1102":2309,"1103":2319,"1104":2331,"1105":2337,"1106":2340,"1107":2344,"1108":2345,"1109":2347,"1110":2352,"1111":2358,"1112":2368,"1113":2369,"1114":2381,"1115":2382,"1116":2397,"1117":2399,"1118":2400,"1119":2401,"1120":2409,"1121":2411,"1122":2414,"1123":2416,"1124":2418,"1125":2424,"1126":2426,"1127":2431,"1128":2437,"1129":2438,"1130":2447,"1131":2458,"1132":2468,"1133":2469,"1134":2474,"1135":2486,"1137":2490,"1138":2492,"1139":2494,"1140":2496,"1141":2499,"1142":2501,"1143":2510,"1144":2519,"1146":2523,"1147":2531,"1148":2534,"1149":2537,"1150":2538,"1152":2546,"1154":2559,"1155":2560,"1156":2562,"1157":2563,"1158":2566,"1159":2568,"1161":2571,"1162":2575,"1164":2578,"1165":2580,"1166":2593,"1168":2611,"1169":2613,"1170":2614,"1171":2626,"1172":2629,"1173":2630,"1174":2634,"1175":2637,"1176":2639,"1178":2651,"1179":2656,"1180":2657,"1181":2660,"1182":2663,"1183":2664,"1184":2670,"1186":2679,"1188":2697,"1189":2702,"1190":2708,"1191":2710,"1192":2717,"1195":2725,"1196":2726,"1197":2732,"1198":2735,"1199":2740,"1200":2741,"1201":2745,"1202":2749,"1204":2761,"1205":2768,"1206":2773,"1207":2778,"1208":2792,"1209":2793,"1210":2797,"1211":2799,"1212":2814,"1213":2816,"1215":2821,"1216":2827,"1217":2833,"1218":2840,"1219":2842,"1220":2843,"1221":2846,"1222":2848,"1223":2850,"1224":2854,"1225":2855,"1226":2856,"1227":2862,"1228":2881,"1229":2882,"1230":2883,"1231":2885,"1232":2886,"1234":2895,"1235":2896,"1236":2897,"1237":2907,"1238":2908,"1239":2909,"1240":2928,"1241":2929,"1242":2933,"1244":2940,"1245":2945,"1246":2948,"1247":2954,"1248":2957,"1249":2959,"1251":2969,"1252":2971,"1253":2976,"1254":2977,"1255":2982,"1257":2984,"1258":2985,"1259":2986,"1260":2988,"1261":2991,"1262":2995,"1263":2998,"1264":3000,"1265":3002,"1267":3006,"1268":3008,"1269":3018,"1270":3020,"1271":3023,"1273":3034,"1275":3044,"1277":3047,"1279":3051,"1280":3053,"1281":3054,"1282":3055,"1284":3067,"1285":3068,"1286":3078,"1287":3081,"1288":3083,"1289":3096,"1290":3097,"1291":3101,"1292":3106,"1293":3110,"1294":3112,"1295":3114,"1296":3115,"1297":3117,"1299":3125,"1300":3128,"1301":3132,"1302":3135,"1303":3139,"1304":3140,"1305":3142,"1306":3144,"1307":3153,"1309":3163,"1310":3164,"1311":3170,"1312":3178,"1313":3192,"1315":3195,"1316":3206,"1317":3215,"1319":3217,"1320":3224,"1322":3233,"1324":3239,"1325":3243,"1326":3253,"1327":3260,"1328":3261,"1329":3262,"1330":3264,"1331":3266,"1333":3290,"1334":3295,"1335":3300,"1336":3307,"1337":3308,"1338":3315,"1339":3322,"1340":3323,"1341":3351,"1342":3353,"1343":3358,"1344":3362,"1345":3363,"1346":3366,"1347":3368,"1348":3371,"1349":3376,"1350":3379,"1351":3384,"1352":3387,"1353":3393,"1354":3394,"1355":3398,"1356":3400,"1357":3401,"1358":3404,"1359":3410,"1360":3422,"1361":3426,"1362":3428,"1363":3433,"1366":3442,"1368":3447,"1370":3452,"1371":3461,"1372":3463,"1373":3469,"1374":3476,"1375":3485,"1377":3492,"1378":3498,"1380":3502,"1381":3503,"1382":3505,"1383":3510,"1384":3517,"1386":3522,"1389":3531,"1390":3532,"1393":3542,"1394":3545,"1395":3551,"1396":3555,"1397":3556,"1398":3559,"1399":3562,"1400":3564,"1401":3565,"1402":3570,"1403":3575,"1404":3581,"1405":3586,"1406":3588,"1407":3589,"1408":3591,"1409":3599,"1412":3603,"1413":3604,"1414":3607,"1415":3609,"1417":3618,"1418":3622,"1419":3623,"1421":3628,"1422":3630,"1423":3633,"1424":3634,"1425":3642,"1426":3645,"1427":3647,"1428":3649,"1429":3651,"1430":3653,"1431":3661,"1432":3675,"1437":3692,"1438":3693,"1439":3702,"1440":3714,"1441":3715,"1442":3720,"1443":3722,"1445":3726,"1446":3732,"1447":3734,"1448":3735,"1449":3737,"1450":3741,"1452":3754,"1453":3758,"1454":3761,"1455":3767,"1456":3769,"1457":3770,"1458":3772,"1459":3775,"1460":3777,"1461":3789,"1462":3798,"1463":3799,"1464":3805,"1465":3811,"1466":3813,"1467":3818,"1468":3834,"1469":3835,"1471":3841,"1472":3842,"1473":3846,"1474":3852,"1475":3855,"1476":3858,"1477":3862,"1478":3863,"1479":3864,"1480":3865,"1481":3869,"1482":3875,"1485":3885,"1486":3888,"1487":3890,"1488":3897,"1490":3901,"1491":3904,"1492":3907,"1493":3914,"1495":3946,"1498":3953,"1499":3960,"1500":3966,"1502":3976,"1503":3979,"1504":3981,"1507":3997,"1509":4014,"1513":4032,"1514":4033,"1515":4037,"1516":4040,"1517":4041,"1518":4044,"1519":4046,"1520":4048,"1523":4057,"1524":4058,"1525":4059,"1526":4069,"1527":4070,"1528":4073,"1529":4074,"1531":4078,"1532":4085},{"0":4,"4":21,"5":25,"7":39,"8":47,"9":53,"10":57,"12":71,"14":76,"15":88,"16":90,"17":95,"18":113,"20":121,"21":123,"23":133,"24":139,"25":142,"26":155,"28":160,"29":162,"30":166,"31":167,"32":190,"34":207,"35":210,"36":213,"37":216,"38":219,"39":221,"40":223,"48":270,"49":281,"51":288,"52":294,"53":295,"54":307,"56":315,"57":316,"60":330,"61":334,"63":344,"64":356,"65":368,"66":369,"67":371,"68":374,"69":375,"70":383,"71":384,"72":386,"74":400,"75":403,"76":406,"77":408,"79":412,"80":414,"81":416,"82":419,"83":421,"84":423,"85":429,"86":451,"87":454,"88":458,"89":460,"90":462,"91":478,"92":480,"93":485,"94":497,"95":500,"96":506,"97":511,"98":517,"99":542,"100":546,"101":549,"102":551,"103":560,"104":569,"105":590,"106":606,"107":617,"108":620,"110":629,"111":636,"112":645,"113":652,"114":655,"115":657,"116":661,"117":664,"118":668,"119":675,"120":683,"121":686,"123":692,"124":693,"125":695,"126":696,"127":697,"129":701,"130":704,"131":705,"132":706,"133":707,"134":709,"135":711,"137":713,"138":715,"139":716,"140":717,"141":719,"143":726,"144":727,"145":728,"146":729,"147":730,"148":731,"149":733,"151":735,"152":736,"153":737,"154":738,"155":742,"156":743,"159":748,"160":749,"161":750,"164":756,"165":758,"167":762,"168":765,"169":766,"170":767,"172":769,"173":771,"175":773,"177":775,"178":776,"179":778,"180":779,"184":785,"185":786,"187":789,"190":792,"191":793,"192":794,"196":798,"201":807,"203":810,"204":811,"206":817,"207":818,"213":827,"214":828,"217":831,"218":834,"221":837,"222":838,"224":840,"225":842,"226":845,"227":846,"231":851,"232":852,"233":853,"234":854,"235":855,"238":858,"241":861,"245":867,"247":869,"249":872,"250":873,"251":874,"252":875,"253":876,"256":881,"257":883,"258":884,"259":885,"260":886,"261":887,"262":891,"263":894,"264":895,"265":896,"266":900,"267":901,"268":903,"269":905,"272":908,"274":913,"275":915,"277":917,"278":918,"279":920,"280":922,"281":926,"282":929,"283":933,"284":934,"285":935,"287":938,"288":940,"289":941,"290":942,"291":946,"292":948,"293":950,"295":955,"298":958,"299":959,"301":964,"302":965,"304":967,"307":971,"309":973,"312":977,"313":978,"315":981,"317":983,"320":987,"321":988,"323":990,"331":1003,"334":1007,"335":1008,"336":1009,"337":1010,"340":1014,"341":1015,"342":1016,"343":1017,"344":1020,"345":1022,"346":1023,"348":1044,"349":1045,"352":1086,"353":1089,"356":1110,"357":1120,"358":1130,"359":1131,"362":1137,"363":1141,"364":1143,"365":1146,"366":1167,"367":1169,"368":1172,"369":1173,"371":1187,"372":1191,"373":1193,"374":1197,"375":1203,"376":1205,"377":1232,"378":1241,"379":1243,"380":1250,"384":1286,"385":1287,"387":1296,"388":1299,"389":1300,"390":1303,"392":1313,"393":1318,"397":1363,"399":1372,"400":1373,"401":1374,"402":1386,"403":1393,"404":1395,"406":1404,"408":1407,"409":1408,"410":1415,"411":1420,"412":1424,"413":1432,"414":1433,"415":1440,"416":1445,"417":1446,"418":1452,"419":1454,"420":1461,"421":1463,"422":1467,"423":1473,"424":1478,"425":1480,"426":1485,"427":1492,"428":1495,"429":1496,"430":1499,"432":1503,"433":1504,"434":1506,"436":1514,"438":1525,"439":1535,"440":1538,"441":1540,"442":1543,"443":1548,"444":1557,"445":1567,"446":1571,"447":1573,"448":1574,"449":1576,"450":1588,"451":1589,"452":1591,"453":1594,"454":1596,"455":1607,"456":1610,"457":1611,"458":1632,"459":1642,"460":1644,"461":1648,"463":1656,"464":1668,"465":1670,"466":1671,"467":1678,"469":1683,"470":1686,"471":1688,"473":1696,"474":1699,"475":1700,"476":1702,"477":1703,"478":1707,"481":1712,"482":1713,"483":1715,"484":1716,"485":1717,"486":1720,"487":1721,"488":1722,"489":1723,"490":1725,"491":1726,"493":1729,"494":1730,"495":1731,"496":1733,"497":1734,"498":1736,"499":1737,"501":1740,"503":1743,"504":1745,"505":1746,"506":1747,"507":1748,"508":1750,"509":1752,"510":1753,"511":1754,"512":1755,"513":1756,"514":1757,"516":1760,"517":1761,"518":1762,"519":1765,"520":1766,"521":1767,"523":1771,"525":1774,"526":1776,"527":1778,"528":1779,"530":1786,"531":1789,"532":1790,"534":1792,"535":1793,"537":1796,"538":1797,"540":1800,"541":1801,"544":1804,"547":1807,"549":1811,"550":1815,"552":1817,"555":1823,"557":1825,"558":1826,"559":1831,"560":1832,"563":1837,"564":1838,"565":1839,"567":1843,"569":1845,"572":1852,"574":1856,"576":1858,"577":1859,"578":1860,"580":1862,"581":1863,"584":1866,"585":1868,"586":1870,"587":1871,"589":1873,"591":1875,"593":1877,"594":1878,"597":1881,"604":1890,"605":1891,"607":1894,"610":1898,"611":1899,"612":1901,"613":1902,"615":1905,"616":1907,"617":1909,"619":1913,"620":1914,"621":1916,"622":1917,"623":1918,"624":1919,"625":1921,"626":1923,"629":1929,"630":1931,"632":1933,"633":1934,"635":1939,"636":1940,"637":1941,"638":1942,"639":1945,"640":1947,"641":1950,"642":1951,"643":1952,"644":1954,"646":1956,"647":1957,"649":1959,"650":1962,"651":1963,"652":1964,"653":1965,"654":1966,"656":1968,"657":1970,"658":1971,"659":1973,"660":1974,"661":1975,"663":1977,"664":1978,"665":1979,"666":1981,"669":1987,"670":1988,"672":1990,"674":1995,"678":2000,"680":2002,"681":2003,"686":2008,"687":2010,"694":2019,"696":2022,"700":2026,"701":2029,"702":2030,"703":2031,"704":2032,"705":2034,"706":2035,"707":2036,"708":2037,"709":2038,"712":2044,"714":2047,"715":2049,"717":2060,"719":2071,"720":2073,"721":2079,"722":2080,"723":2081,"724":2090,"725":2091,"726":2092,"727":2095,"729":2098,"730":2107,"731":2120,"732":2122,"733":2124,"734":2131,"735":2132,"736":2133,"737":2136,"738":2138,"739":2147,"740":2148,"741":2149,"742":2150,"743":2153,"744":2156,"745":2158,"746":2162,"747":2164,"748":2169,"749":2184,"750":2187,"751":2194,"752":2197,"753":2199,"754":2207,"755":2208,"756":2213,"757":2215,"758":2218,"759":2220,"760":2222,"761":2226,"763":2232,"764":2234,"765":2235,"766":2236,"767":2246,"768":2250,"769":2253,"770":2259,"771":2268,"772":2271,"773":2277,"774":2280,"775":2283,"776":2285,"777":2287,"778":2289,"779":2298,"780":2304,"781":2308,"782":2312,"783":2313,"784":2315,"785":2321,"786":2322,"787":2323,"788":2324,"789":2335,"790":2339,"791":2342,"792":2346,"793":2366,"794":2370,"795":2371,"796":2372,"797":2374,"798":2376,"799":2377,"800":2379,"802":2384,"803":2388,"804":2390,"805":2392,"806":2398,"807":2403,"808":2404,"809":2405,"810":2406,"811":2408,"812":2412,"813":2413,"814":2415,"815":2419,"816":2425,"817":2430,"818":2432,"819":2434,"820":2435,"821":2440,"822":2444,"823":2446,"824":2454,"825":2467,"826":2472,"827":2473,"828":2476,"829":2477,"830":2488,"831":2491,"832":2502,"833":2503,"834":2509,"835":2512,"836":2513,"838":2517,"839":2518,"841":2530,"843":2543,"844":2544,"845":2547,"846":2548,"847":2550,"848":2551,"849":2553,"850":2557,"851":2564,"852":2574,"853":2576,"854":2587,"855":2589,"856":2592,"857":2594,"858":2597,"859":2600,"860":2606,"861":2608,"863":2616,"864":2618,"865":2619,"866":2623,"867":2624,"868":2625,"869":2628,"870":2633,"871":2645,"872":2646,"873":2655,"874":2658,"875":2661,"876":2662,"878":2672,"879":2673,"880":2678,"881":2684,"882":2688,"883":2698,"884":2701,"885":2705,"886":2706,"888":2718,"889":2729,"890":2733,"891":2738,"893":2748,"895":2760,"896":2767,"897":2771,"898":2774,"899":2775,"900":2777,"901":2784,"902":2785,"903":2787,"905":2794,"907":2803,"908":2807,"909":2808,"910":2810,"911":2813,"912":2815,"913":2822,"914":2823,"915":2826,"916":2828,"917":2829,"918":2834,"920":2837,"921":2841,"922":2853,"923":2858,"924":2859,"925":2865,"926":2871,"927":2876,"930":2890,"931":2894,"932":2899,"933":2902,"934":2914,"935":2915,"936":2916,"937":2918,"938":2919,"939":2922,"940":2923,"941":2925,"942":2931,"943":2935,"944":2938,"945":2946,"946":2955,"947":2958,"948":2961,"949":2967,"950":2975,"951":2978,"952":2994,"954":3013,"955":3019,"956":3033,"957":3042,"958":3049,"959":3050,"960":3056,"961":3057,"962":3069,"963":3071,"964":3072,"965":3074,"966":3077,"967":3079,"968":3082,"969":3085,"970":3089,"971":3092,"972":3093,"974":3105,"975":3109,"977":3116,"978":3120,"979":3122,"980":3123,"981":3129,"982":3131,"983":3136,"984":3138,"985":3143,"986":3145,"987":3152,"988":3157,"989":3159,"990":3165,"991":3168,"992":3172,"994":3177,"995":3179,"996":3180,"998":3197,"999":3199,"1001":3205,"1002":3208,"1003":3211,"1004":3212,"1005":3218,"1006":3223,"1007":3241,"1008":3242,"1009":3248,"1010":3249,"1011":3252,"1012":3254,"1013":3255,"1014":3265,"1016":3275,"1017":3278,"1018":3280,"1019":3281,"1020":3286,"1023":3297,"1024":3312,"1025":3321,"1026":3326,"1027":3329,"1028":3330,"1029":3334,"1030":3335,"1031":3336,"1032":3338,"1033":3342,"1034":3346,"1035":3350,"1036":3359,"1037":3360,"1038":3373,"1039":3385,"1040":3386,"1041":3391,"1042":3395,"1043":3399,"1044":3402,"1045":3408,"1046":3409,"1047":3415,"1048":3416,"1049":3420,"1050":3430,"1051":3431,"1052":3435,"1053":3437,"1054":3438,"1055":3448,"1056":3449,"1057":3455,"1058":3458,"1059":3460,"1061":3464,"1062":3470,"1063":3473,"1064":3477,"1065":3479,"1067":3481,"1068":3483,"1069":3484,"1070":3486,"1071":3487,"1072":3491,"1073":3493,"1074":3496,"1075":3497,"1076":3507,"1077":3509,"1078":3514,"1079":3518,"1080":3523,"1081":3527,"1082":3536,"1083":3539,"1084":3541,"1085":3543,"1086":3548,"1087":3550,"1088":3554,"1089":3561,"1090":3566,"1091":3569,"1093":3572,"1094":3576,"1095":3578,"1096":3585,"1097":3595,"1098":3620,"1099":3637,"1100":3639,"1101":3646,"1102":3650,"1105":3656,"1106":3659,"1107":3663,"1108":3664,"1109":3667,"1110":3669,"1111":3671,"1112":3674,"1114":3683,"1115":3688,"1116":3690,"1117":3694,"1118":3695,"1119":3696,"1121":3700,"1122":3701,"1123":3704,"1124":3705,"1125":3708,"1126":3711,"1127":3716,"1128":3717,"1129":3723,"1132":3730,"1133":3755,"1134":3756,"1135":3760,"1136":3764,"1138":3786,"1139":3787,"1140":3788,"1141":3790,"1143":3797,"1144":3800,"1145":3801,"1146":3802,"1147":3804,"1148":3806,"1149":3808,"1150":3810,"1151":3817,"1152":3820,"1154":3822,"1155":3824,"1156":3832,"1157":3833,"1158":3836,"1159":3838,"1160":3839,"1161":3843,"1162":3848,"1163":3851,"1164":3853,"1165":3856,"1166":3859,"1167":3861,"1168":3866,"1170":3868,"1171":3874,"1172":3880,"1173":3886,"1174":3889,"1175":3892,"1176":3898,"1177":3909,"1178":3910,"1180":3913,"1181":3915,"1182":3916,"1183":3917,"1184":3918,"1185":3925,"1186":3927,"1187":3931,"1188":3936,"1189":3938,"1191":3943,"1192":3945,"1193":3958,"1194":3961,"1195":3962,"1196":3963,"1197":3964,"1198":3968,"1199":3970,"1201":3980,"1202":3983,"1203":3987,"1204":3993,"1206":4001,"1207":4003,"1208":4004,"1209":4005,"1210":4010,"1211":4011,"1212":4022,"1213":4029,"1214":4039,"1216":4055,"1217":4065,"1218":4075,"1219":4079,"1220":4090},{"0":2,"1":22,"2":30,"3":169,"4":174,"6":187,"7":197,"8":263,"9":353,"12":385,"13":409,"15":427,"16":434,"18":465,"19":503,"20":522,"21":529,"22":555,"23":558,"24":623,"25":642,"26":646,"27":647,"28":651,"30":682,"31":685,"32":687,"33":689,"34":690,"35":691,"36":694,"37":699,"38":700,"39":703,"41":710,"42":714,"43":721,"44":722,"45":723,"46":725,"47":732,"48":739,"49":740,"50":744,"51":747,"52":751,"53":752,"54":753,"55":757,"56":759,"57":763,"58":764,"59":770,"62":784,"64":799,"66":806,"67":809,"68":812,"69":813,"70":814,"71":819,"72":821,"73":826,"74":833,"75":841,"76":843,"77":844,"80":864,"81":871,"82":878,"83":879,"84":882,"85":888,"86":889,"87":892,"88":893,"89":897,"90":899,"91":902,"92":904,"94":910,"95":914,"96":919,"97":921,"98":923,"99":924,"100":925,"101":928,"102":930,"103":931,"104":932,"105":936,"106":939,"107":944,"108":945,"109":949,"110":951,"111":952,"112":953,"113":960,"114":962,"115":963,"116":968,"119":985,"121":996,"122":997,"124":1002,"126":1011,"127":1018,"128":1021,"129":1092,"130":1099,"131":1113,"132":1164,"133":1189,"134":1221,"135":1229,"136":1331,"137":1343,"138":1357,"139":1387,"140":1396,"141":1400,"142":1401,"143":1411,"144":1597,"145":1643,"146":1662,"147":1665,"148":1666,"149":1698,"150":1708,"151":1714,"152":1719,"153":1724,"154":1728,"155":1732,"156":1741,"157":1749,"158":1759,"159":1763,"160":1764,"161":1768,"162":1770,"163":1775,"164":1777,"165":1780,"166":1781,"167":1783,"168":1784,"169":1788,"170":1794,"174":1813,"176":1818,"181":1829,"183":1833,"186":1849,"187":1851,"188":1853,"189":1854,"192":1900,"193":1904,"195":1911,"196":1915,"197":1922,"198":1924,"199":1930,"200":1936,"201":1943,"202":1944,"203":1946,"205":1949,"206":1953,"207":1961,"208":1969,"209":1972,"211":1985,"212":1986,"213":1991,"214":1992,"215":1993,"216":1997,"217":2009,"219":2027,"221":2033,"222":2042,"223":2046,"224":2053,"225":2055,"226":2057,"227":2062,"228":2064,"229":2066,"230":2068,"231":2099,"232":2100,"233":2111,"234":2112,"235":2116,"236":2119,"237":2121,"238":2123,"239":2126,"240":2128,"241":2137,"242":2170,"243":2172,"244":2193,"245":2201,"247":2206,"248":2210,"249":2219,"250":2224,"251":2228,"252":2244,"253":2249,"254":2273,"255":2275,"256":2279,"257":2290,"258":2295,"259":2296,"260":2301,"261":2310,"262":2320,"263":2333,"264":2334,"265":2343,"266":2353,"267":2359,"268":2378,"269":2391,"270":2393,"271":2395,"272":2407,"273":2422,"274":2439,"275":2450,"276":2451,"277":2453,"278":2456,"279":2460,"280":2461,"281":2470,"282":2478,"283":2480,"284":2485,"285":2514,"286":2529,"287":2539,"288":2572,"289":2586,"290":2590,"291":2591,"292":2595,"293":2599,"294":2601,"296":2617,"297":2667,"298":2674,"299":2677,"300":2681,"301":2685,"302":2696,"303":2699,"304":2703,"305":2714,"306":2727,"307":2731,"308":2736,"309":2743,"310":2747,"311":2752,"312":2756,"313":2757,"314":2764,"315":2783,"316":2817,"317":2830,"318":2831,"319":2832,"320":2839,"321":2844,"322":2849,"323":2851,"324":2863,"325":2864,"326":2868,"327":2869,"328":2873,"329":2893,"330":2900,"331":2904,"332":2920,"333":2926,"334":2942,"335":2963,"336":2968,"337":2970,"338":2979,"339":2987,"340":2999,"341":3005,"342":3007,"344":3015,"346":3021,"347":3030,"348":3032,"349":3045,"350":3052,"351":3063,"353":3076,"354":3088,"355":3099,"356":3121,"357":3130,"358":3134,"361":3154,"362":3156,"363":3160,"364":3162,"365":3167,"366":3171,"367":3184,"368":3189,"370":3204,"371":3207,"372":3214,"373":3221,"374":3222,"375":3238,"376":3240,"377":3246,"378":3256,"379":3269,"380":3272,"382":3282,"384":3298,"385":3310,"386":3320,"387":3327,"388":3333,"389":3339,"390":3340,"391":3341,"392":3349,"393":3369,"394":3377,"395":3378,"396":3381,"397":3389,"398":3397,"400":3412,"401":3413,"402":3417,"403":3421,"404":3423,"405":3427,"406":3432,"407":3434,"408":3441,"409":3446,"411":3472,"412":3500,"413":3508,"414":3511,"415":3512,"416":3547,"417":3552,"418":3558,"419":3567,"420":3574,"421":3577,"422":3579,"423":3592,"424":3598,"425":3611,"426":3616,"427":3624,"428":3665,"429":3676,"430":3686,"431":3703,"432":3706,"433":3728,"434":3731,"435":3744,"436":3745,"437":3748,"440":3773,"441":3776,"442":3779,"443":3781,"444":3791,"445":3792,"447":3814,"448":3816,"449":3825,"450":3830,"451":3831,"452":3844,"453":3845,"454":3854,"455":3857,"456":3871,"457":3893,"458":3896,"459":3902,"460":3919,"461":3924,"462":3934,"464":3939,"466":3952,"467":3956,"468":3978,"469":3982,"470":3991,"471":3996,"472":3998,"473":4002,"474":4006,"475":4007,"476":4008,"477":4015,"478":4021,"479":4023,"480":4030,"481":4047,"482":4066,"483":4076,"484":4082,"485":4083,"486":4087,"487":4088},{"0":436,"1":443,"2":537,"3":576,"4":625,"5":684,"6":724,"7":741,"9":832,"10":890,"11":898,"12":912,"13":927,"14":943,"15":947,"16":1019,"17":1201,"18":1253,"19":1438,"20":1482,"21":1647,"22":1664,"23":1710,"24":1718,"25":1735,"26":1738,"27":1744,"28":1751,"29":1772,"30":1785,"32":1812,"34":1850,"35":1867,"36":1869,"37":1889,"38":1896,"39":1908,"40":1910,"41":1927,"42":1938,"43":1980,"44":2016,"45":2039,"46":2043,"47":2048,"48":2058,"49":2072,"50":2078,"52":2180,"53":2182,"54":2189,"55":2203,"56":2214,"57":2242,"59":2251,"60":2252,"62":2269,"64":2282,"65":2328,"66":2330,"67":2341,"68":2356,"69":2383,"70":2389,"71":2417,"72":2420,"73":2421,"74":2448,"75":2452,"76":2464,"78":2483,"79":2484,"80":2522,"81":2525,"82":2541,"83":2542,"84":2549,"85":2561,"87":2581,"88":2598,"89":2602,"90":2604,"91":2607,"92":2615,"93":2622,"94":2644,"95":2665,"96":2691,"97":2695,"98":2713,"99":2716,"100":2719,"101":2724,"102":2739,"103":2754,"104":2766,"105":2779,"106":2825,"107":2836,"108":2913,"109":2937,"110":2947,"111":2989,"112":2996,"113":3001,"114":3026,"115":3040,"116":3041,"117":3059,"118":3062,"119":3064,"120":3065,"121":3084,"122":3107,"123":3108,"124":3141,"126":3151,"127":3174,"128":3201,"129":3203,"130":3210,"131":3225,"132":3226,"135":3232,"136":3247,"137":3250,"138":3303,"139":3304,"140":3305,"141":3311,"142":3314,"143":3317,"144":3337,"145":3367,"146":3382,"147":3388,"148":3396,"149":3425,"150":3436,"151":3465,"152":3489,"153":3495,"154":3506,"155":3513,"157":3521,"158":3553,"159":3594,"161":3614,"162":3632,"163":3635,"166":3666,"167":3672,"168":3710,"169":3713,"170":3721,"171":3753,"172":3765,"173":3771,"174":3774,"175":3785,"176":3809,"177":3840,"179":3894,"180":3895,"181":3967,"182":3971,"183":3975,"184":3992,"186":4012,"187":4031,"188":4038,"189":4045,"190":4081,"191":4089,"192":4093},{"0":702,"1":718,"2":761,"3":802,"4":1840,"5":1920,"6":1935,"7":1960,"8":2021,"9":2102,"10":2144,"11":2181,"12":2191,"13":2192,"14":2198,"15":2217,"16":2239,"19":2314,"20":2326,"21":2348,"22":2402,"23":2436,"24":2442,"25":2455,"26":2481,"27":2504,"28":2505,"29":2515,"30":2565,"31":2635,"32":2636,"33":2642,"34":2653,"35":2659,"36":2671,"37":2704,"38":2728,"39":2734,"40":2755,"43":2790,"45":2801,"46":2838,"47":2845,"48":2866,"49":2891,"51":2906,"52":2951,"53":2962,"54":2964,"55":2973,"56":3011,"57":3027,"59":3031,"60":3103,"62":3183,"63":3191,"64":3194,"65":3219,"66":3258,"67":3267,"68":3284,"69":3296,"70":3328,"71":3332,"72":3348,"73":3364,"74":3365,"76":3429,"78":3474,"79":3475,"80":3501,"81":3526,"82":3538,"83":3619,"84":3709,"85":3749,"86":3784,"87":3812,"88":3850,"89":3870,"90":3879,"91":3884,"92":3899,"93":3908,"94":3921,"95":3933,"96":3937,"97":3942,"98":3965,"100":4028,"101":4036,"102":4053,"103":4060,"104":4080,"105":4084},{"0":1925,"1":2051,"3":2077,"4":2083,"5":2084,"6":2135,"7":2168,"8":2176,"9":2225,"10":2233,"11":2355,"12":2365,"13":2367,"14":2373,"15":2386,"16":2429,"17":2471,"18":2475,"19":2489,"20":2498,"21":2536,"22":2632,"23":2641,"24":2647,"25":2654,"27":2676,"28":2680,"30":2693,"31":2765,"32":2769,"33":2776,"34":2782,"35":2847,"37":2878,"38":2889,"39":2910,"40":2953,"41":2956,"42":2993,"43":3012,"45":3100,"46":3133,"47":3148,"48":3187,"49":3209,"51":3234,"52":3306,"53":3331,"54":3347,"55":3392,"56":3411,"57":3451,"58":3453,"59":3544,"60":3557,"61":3568,"63":3587,"64":3605,"65":3648,"66":3660,"67":3687,"68":3742,"69":3746,"71":3819,"72":3873,"73":3877,"74":3882,"75":3883,"77":3941,"78":3948,"79":3957,"81":4026,"82":4061},{"2":2104,"3":2118,"4":2183,"5":2230,"6":2243,"8":2288,"9":2292,"10":2294,"12":2329,"13":2336,"14":2427,"17":2479,"18":2570,"19":2582,"21":2652,"22":2686,"24":2707,"25":2934,"26":2943,"27":2952,"29":3009,"30":3061,"33":3095,"36":3259,"41":3316,"42":3466,"43":3467,"44":3482,"45":3494,"46":3504,"47":3529,"48":3546,"49":3560,"50":3596,"51":3608,"53":3640,"54":3725,"56":3803,"57":3849,"58":3903,"59":3922,"60":3990,"61":4035,"62":4052,"63":4071},{"0":2177,"1":2179,"2":2209,"3":2258,"6":2354,"7":2387,"8":2443,"9":2506,"11":2555,"13":2689,"18":2781,"25":3173,"26":3185,"27":3200,"28":3271,"29":3289,"30":3302,"31":3313,"32":3403,"33":3443,"34":3515,"36":3528,"37":3621,"40":3644,"41":3739,"43":3878,"44":4095},{"2":2115,"3":2140,"5":2332,"6":2360,"8":2423,"9":2497,"13":2759,"14":2763,"18":3022,"19":3127,"21":3169,"25":3407,"26":3418,"27":3424,"30":3490,"34":3626,"38":3685,"39":3796,"42":3911,"43":3928,"47":4086},{"0":2069,"3":2216,"7":2631,"11":2804,"13":2874,"18":2965,"20":3235,"21":3257,"22":3279,"23":3375,"24":3390,"28":3593,"32":3707,"35":3827,"36":4042,"38":4068},{"0":2076,"3":2185,"6":2284,"8":2297,"12":2872,"14":2924,"15":3017,"16":3025,"18":3181,"20":3301,"23":3668},{"1":2238,"3":2293,"17":3146,"20":3325,"21":3352},[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[]]