[{"0":0,"1":1,"2":4,"3":5,"4":8,"5":9,"6":11,"7":13,"8":14,"9":16,"10":17,"11":21,"12":23,"13":26,"28":42,"29":43,"30":44,"31":45,"32":47,"33":48,"34":52,"35":54,"36":56,"37":58,"38":59,"55":78,"56":80,"57":81,"58":82,"59":83,"60":85,"61":87,"62":88,"63":89,"64":92,"65":104,"66":105,"67":106,"68":107,"69":110,"70":111,"71":113,"72":116,"73":120,"74":123,"75":124,"76":128,"77":129,"78":130,"79":131,"80":133,"81":134,"82":137,"83":138,"84":140,"85":141,"86":142,"87":143,"88":145,"89":146,"90":147,"91":148,"92":149,"93":150,"94":151,"95":152,"96":153,"97":154,"98":155,"99":156,"100":157,"101":158,"102":159,"103":160,"104":161,"105":163,"106":164,"107":165,"108":166,"109":167,"110":168,"111":169,"112":170,"113":172,"114":173,"115":174,"116":175,"117":176,"118":178,"119":179,"120":180,"121":182,"122":183,"123":185,"124":187,"125":188,"126":189,"127":190,"128":191,"129":192,"130":193,"131":206,"132":207,"133":208,"134":209,"135":210,"136":211,"137":214,"138":217,"139":221,"140":222,"141":224,"142":225,"143":226,"144":227,"145":228,"146":230,"147":231,"148":232,"149":233,"150":238,"151":240,"152":241,"153":242,"154":243,"155":244,"156":247,"157":248,"158":249,"159":250,"160":251,"161":254,"162":255,"163":256,"164":258,"165":259,"166":260,"167":261,"168":262,"169":265,"170":266,"171":267,"172":268,"173":270,"174":271,"175":272,"176":273,"177":280,"178":283,"179":290,"180":302,"181":303,"182":304,"183":307,"184":308,"185":309,"186":317,"187":320,"188":322,"189":324,"190":325,"191":326,"192":327,"193":330,"194":331,"195":332,"196":333,"197":334,"198":335,"199":337,"200":346,"201":347,"202":348,"203":349,"204":353,"205":357,"206":360,"207":361,"208":362,"209":365,"210":366,"211":367,"212":368,"213":369,"214":370,"215":372,"216":373,"217":374,"218":376,"219":377,"220":380,"221":381,"222":382,"223":384,"224":385,"236":409,"237":410,"238":411,"239":413,"240":414,"241":415,"242":416,"243":417,"244":419,"245":420,"246":421,"247":422,"248":424,"249":426,"250":430,"251":431,"252":432,"253":434,"254":436,"255":437,"256":438,"257":441,"258":442,"259":444,"260":445,"261":446,"262":447,"263":449,"264":450,"265":454,"266":460,"267":461,"268":464,"269":465,"270":466,"271":467,"272":468,"273":469,"274":471,"275":472,"276":475,"277":476,"278":478,"279":479,"280":480,"281":481,"282":482,"283":483,"284":486,"285":487,"286":489,"287":491,"288":494,"289":496,"290":498,"291":500,"292":501,"293":502,"294":503,"295":505,"296":506,"297":507,"298":509,"299":510,"300":511,"301":512,"302":513,"303":514,"304":515,"305":516,"306":517,"307":518,"308":519,"309":522,"310":529,"326":562,"327":563,"328":565,"329":566,"330":567,"331":568,"332":571,"333":573,"334":575,"335":577,"336":578,"337":579,"338":581,"339":582,"340":584,"341":590,"342":591,"343":592,"344":593,"345":594,"346":595,"347":596,"348":597,"349":598,"350":599,"351":602,"352":604,"353":606,"354":607,"355":608,"356":609,"357":611,"358":612,"359":613,"360":615,"361":618,"362":619,"363":622,"364":624,"365":625,"366":627,"367":628,"368":629,"369":633,"370":634,"371":635,"372":636,"373":637,"374":638,"375":640,"376":641,"377":642,"378":644,"379":645,"380":647,"381":648,"382":651,"383":653,"384":654,"385":659,"400":680,"401":685,"402":686,"403":689,"404":693,"405":696,"406":697,"407":701,"408":705,"409":710,"410":713,"411":717,"412":724,"413":726,"422":758,"423":759,"424":761,"425":763,"426":764,"427":766,"428":767,"429":769,"430":776,"431":779,"432":784,"433":785,"434":788,"435":790,"436":794,"437":795,"438":806,"439":807,"440":810,"441":812,"442":815,"443":820,"444":821,"445":823,"446":825,"447":826,"448":827,"449":830,"450":832,"451":835,"452":838,"453":840,"454":846,"455":848,"456":849,"457":851,"458":852,"459":853,"460":855,"461":860,"462":861,"463":862,"464":863,"465":864,"466":866,"467":867,"468":869,"469":871,"470":876,"471":882,"481":905,"482":906,"483":907,"484":911,"485":913,"486":914,"487":917,"488":932,"489":933,"490":935,"491":939,"492":948,"493":959,"505":974,"506":975,"507":985,"508":1002,"509":1007,"510":1011,"511":1017,"512":1019,"513":1025,"514":1026,"525":1044,"526":1046,"527":1047,"528":1048,"529":1049,"530":1051,"531":1052,"532":1055,"533":1056,"534":1057,"535":1058,"536":1059,"537":1060,"538":1061,"539":1062,"540":1063,"541":1065,"542":1076,"543":1077,"544":1078,"545":1079,"546":1080,"547":1081,"548":1087,"549":1088,"550":1089,"551":1090,"552":1092,"553":1093,"554":1094,"555":1097,"556":1098,"557":1099,"558":1100,"559":1101,"560":1102,"561":1103,"562":1104,"563":1105,"564":1106,"565":1107,"566":1108,"567":1109,"568":1111,"569":1112,"570":1113,"571":1114,"572":1115,"573":1116,"574":1117,"575":1118,"576":1122,"577":1128,"578":1134,"579":1136,"580":1138,"581":1139,"582":1140,"583":1141,"584":1142,"585":1143,"586":1144,"587":1147,"588":1149,"589":1150,"590":1151,"591":1152,"592":1153,"593":1156,"594":1158,"595":1160,"596":1165,"597":1170,"598":1172,"599":1174,"600":1175,"601":1177,"602":1178,"603":1180,"604":1185,"605":1186,"606":1188,"607":1189,"608":1191,"609":1192,"610":1194,"611":1195,"612":1196,"613":1198,"614":1199,"615":1201,"616":1202,"617":1203,"618":1204,"619":1207,"620":1208,"621":1209,"622":1210,"623":1211,"624":1212,"625":1213,"626":1214,"627":1215,"628":1216,"629":1217,"630":1219,"631":1220,"632":1221,"633":1222,"634":1224,"635":1226,"636":1227,"637":1228,"638":1229,"639":1230,"640":1234,"641":1235,"642":1239,"643":1244,"644":1248,"645":1249,"646":1251,"647":1252,"648":1254,"649":1255,"650":1257,"651":1259,"652":1260,"653":1261,"654":1262,"655":1263,"656":1264,"657":1265,"658":1271,"659":1275,"660":1279,"661":1282,"662":1289,"663":1306,"664":1307,"665":1308,"666":1309,"667":1310,"668":1311,"669":1315,"670":1317,"671":1318,"672":1319,"693":1342,"694":1343,"695":1347,"696":1348,"697":1349,"698":1352,"699":1366,"700":1367,"701":1368,"702":1373,"703":1374,"704":1375,"705":1376,"706":1379,"707":1380,"708":1381,"709":1382,"710":1384,"711":1386,"712":1390,"713":1392,"714":1398,"715":1399,"716":1400,"717":1404,"718":1408,"719":1411,"720":1412,"721":1415,"722":1417,"723":1421,"730":1447,"731":1459,"732":1460,"733":1462,"734":1469,"735":1470,"736":1471,"737":1474,"738":1482,"739":1483,"740":1484,"741":1486,"742":1487,"743":1488,"744":1489,"745":1490,"746":1491,"747":1493,"748":1494,"749":1495,"750":1497,"751":1498,"752":1499,"753":1501,"754":1502,"755":1503,"756":1505,"757":1506,"758":1507,"759":1508,"760":1509,"761":1510,"762":1511,"763":1512,"764":1513,"765":1514,"766":1517,"781":1532,"782":1534,"783":1538,"784":1540,"785":1542,"786":1546,"787":1551,"788":1553,"789":1566,"790":1567,"791":1568,"792":1569,"793":1571,"794":1572,"795":1575,"796":1579,"797":1582,"798":1584,"799":1587,"800":1590,"801":1591,"802":1592,"803":1593,"804":1594,"805":1595,"806":1596,"807":1598,"808":1599,"809":1602,"810":1603,"811":1604,"812":1605,"813":1608,"814":1610,"815":1611,"816":1612,"817":1613,"818":1614,"819":1615,"820":1616,"821":1617,"822":1619,"823":1625,"824":1628,"825":1629,"826":1630,"827":1631,"828":1632,"829":1633,"830":1635,"831":1637,"832":1640,"833":1641,"834":1642,"835":1643,"836":1645,"837":1646,"838":1647,"839":1648,"840":1649,"841":1650,"842":1651,"843":1653,"844":1654,"845":1655,"846":1657,"847":1658,"848":1659,"849":1660,"850":1662,"851":1663,"852":1664,"853":1665,"854":1666,"855":1670,"856":1674,"857":1675,"858":1678,"859":1682,"860":1683,"861":1684,"862":1686,"863":1688,"864":1689,"865":1690,"866":1691,"867":1692,"868":1694,"869":1696,"870":1697,"871":1698,"872":1699,"873":1700,"874":1703,"875":1711,"876":1722,"877":1723,"878":1724,"879":1725,"880":1726,"881":1727,"882":1728,"883":1729,"884":1730,"885":1731,"886":1732,"887":1734,"888":1735,"889":1736,"890":1737,"891":1738,"892":1739,"899":1760,"900":1761,"901":1762,"902":1763,"903":1764,"904":1765,"905":1766,"906":1767,"907":1769,"908":1770,"909":1771,"910":1772,"911":1775,"912":1776,"913":1777,"914":1778,"915":1780,"916":1781,"917":1784,"918":1786,"919":1789,"920":1790,"921":1791,"922":1792,"923":1793,"924":1794,"925":1795,"926":1796,"927":1797,"928":1799,"929":1800,"930":1801,"931":1802,"932":1803,"933":1804,"934":1805,"935":1807,"936":1808,"937":1810,"938":1811,"939":1812,"940":1813,"941":1814,"955":1838,"956":1842,"957":1856,"958":1858,"959":1859,"960":1860,"961":1861,"962":1862,"963":1863,"964":1865,"965":1867,"966":1868,"967":1869,"968":1871,"969":1873,"977":1895,"978":1897,"979":1907,"989":1921,"990":1923,"991":1924,"992":1925,"993":1926,"994":1927,"995":1928,"996":1929,"997":1932,"998":1934,"999":1935,"1000":1937,"1001":1938,"1002":1939,"1003":1941,"1004":1944,"1005":1945,"1006":1946,"1007":1947,"1008":1948,"1009":1949,"1010":1951,"1011":1955,"1012":1957,"1013":1959,"1014":1966,"1015":1967,"1016":1968,"1017":1969,"1018":1970,"1019":1972,"1020":1973,"1021":1975,"1022":1979,"1023":1981,"1024":1982,"1056":2024,"1057":2025,"1058":2026,"1059":2030,"1060":2033,"1061":2035,"1062":2038,"1063":2040,"1064":2042,"1065":2043,"1066":2044,"1067":2047,"1068":2050,"1069":2051,"1082":2065,"1083":2066,"1084":2069,"1085":2071,"1086":2072,"1087":2075,"1088":2076,"1089":2078,"1090":2079,"1091":2081,"1092":2082,"1093":2083,"1094":2084,"1095":2085,"1096":2086,"1097":2088,"1098":2089,"1099":2090,"1100":2091,"1101":2092,"1102":2093,"1103":2095,"1104":2096,"1105":2097,"1106":2098,"1107":2099,"1108":2100,"1109":2102,"1110":2103,"1111":2104,"1112":2105,"1113":2106,"1114":2109,"1115":2110,"1116":2114,"1117":2115,"1118":2116,"1119":2117,"1120":2119,"1121":2120,"1122":2121,"1123":2123,"1124":2125,"1125":2127,"1126":2129,"1127":2134,"1128":2140,"1129":2141,"1130":2142,"1131":2144,"1132":2145,"1133":2149,"1134":2150,"1135":2152,"1136":2153,"1137":2154,"1138":2156,"1139":2157,"1140":2158,"1141":2160,"1142":2161,"1143":2163,"1144":2166,"1145":2167,"1146":2181,"1147":2186,"1148":2192,"1149":2194,"1150":2198,"1151":2229,"1152":2283,"1153":2285,"1154":2288,"1155":2291,"1156":2292,"1157":2293,"1158":2295,"1159":2298,"1160":2300,"1161":2301,"1162":2305,"1163":2307,"1164":2309,"1165":2310,"1166":2312,"1167":2313,"1168":2314,"1169":2315,"1170":2316,"1171":2319,"1172":2323,"1186":2338,"1187":2339,"1188":2340,"1189":2341,"1190":2344,"1191":2347,"1192":2348,"1193":2349,"1194":2350,"1195":2351,"1196":2352,"1197":2353,"1198":2354,"1199":2355,"1200":2357,"1201":2358,"1202":2359,"1203":2360,"1204":2361,"1205":2362,"1206":2364,"1207":2365,"1208":2366,"1209":2367,"1210":2368,"1211":2370,"1212":2371,"1213":2372,"1214":2373,"1215":2374,"1216":2375,"1217":2376,"1218":2377,"1219":2378,"1220":2379,"1221":2380,"1222":2381,"1223":2382,"1224":2383,"1225":2384,"1226":2385,"1227":2386,"1228":2387,"1229":2389,"1230":2390,"1231":2391,"1232":2392,"1233":2393,"1234":2395,"1235":2396,"1236":2398,"1237":2399,"1238":2400,"1239":2401,"1240":2402,"1241":2403,"1242":2404,"1243":2405,"1244":2407,"1245":2409,"1246":2411,"1247":2413,"1248":2414,"1249":2415,"1250":2416,"1251":2417,"1252":2418,"1253":2419,"1254":2420,"1255":2421,"1256":2422,"1257":2423,"1258":2424,"1259":2425,"1260":2426,"1261":2427,"1262":2428,"1263":2431,"1264":2433,"1265":2434,"1266":2435,"1267":2436,"1268":2438,"1269":2439,"1270":2440,"1271":2445,"1272":2446,"1273":2447,"1274":2449,"1275":2450,"1276":2451,"1277":2452,"1278":2453,"1279":2461,"1280":2462,"1281":2464,"1282":2465,"1283":2466,"1284":2467,"1285":2470,"1286":2471,"1287":2472,"1288":2473,"1289":2475,"1290":2476,"1291":2477,"1292":2478,"1293":2479,"1294":2482,"1295":2483,"1296":2484,"1297":2485,"1298":2486,"1299":2487,"1300":2488,"1301":2490,"1302":2496,"1303":2499,"1304":2501,"1305":2502,"1306":2503,"1307":2504,"1308":2506,"1309":2510,"1310":2514,"1311":2516,"1312":2517,"1313":2518,"1314":2519,"1315":2520,"1316":2521,"1317":2522,"1318":2523,"1319":2524,"1320":2525,"1321":2527,"1322":2528,"1323":2529,"1324":2530,"1325":2531,"1326":2533,"1327":2534,"1328":2535,"1329":2536,"1330":2537,"1341":2557,"1342":2558,"1343":2559,"1344":2568,"1345":2571,"1346":2572,"1347":2574,"1348":2576,"1349":2577,"1350":2584,"1351":2585,"1352":2586,"1353":2590,"1354":2593,"1355":2594,"1356":2596,"1357":2603,"1358":2616,"1359":2618,"1360":2619,"1361":2624,"1362":2630,"1364":2646,"1365":2650,"1366":2651,"1367":2673,"1368":2676,"1369":2690,"1381":2722,"1382":2723,"1383":2724,"1384":2725,"1385":2727,"1386":2729,"1387":2733,"1388":2734,"1389":2736,"1390":2737,"1391":2738,"1392":2739,"1393":2740,"1394":2741,"1395":2742,"1396":2743,"1397":2744,"1398":2745,"1399":2746,"1400":2747,"1401":2748,"1402":2749,"1403":2750,"1404":2751,"1405":2752,"1406":2753,"1407":2754,"1408":2755,"1409":2756,"1410":2757,"1411":2758,"1412":2759,"1413":2761,"1414":2763,"1415":2764,"1416":2765,"1417":2766,"1418":2767,"1419":2768,"1420":2770,"1421":2771,"1422":2774,"1423":2775,"1433":2796,"1434":2797,"1435":2799,"1436":2806,"1437":2809,"1438":2816,"1439":2830,"1455":2854,"1456":2855,"1457":2856,"1458":2858,"1459":2859,"1460":2861,"1461":2864,"1462":2866,"1463":2868,"1464":2869,"1465":2873,"1466":2874,"1467":2876,"1468":2878,"1469":2880,"1470":2883,"1471":2884,"1472":2885,"1473":2896,"1474":2897,"1475":2899,"1476":2900,"1477":2901,"1478":2902,"1479":2903,"1480":2904,"1481":2905,"1482":2907,"1483":2908,"1484":2909,"1485":2910,"1486":2912,"1487":2913,"1488":2917,"1509":2938,"1510":2939,"1511":2942,"1512":2946,"1516":2954,"1517":2955,"1518":2956,"1519":2965,"1520":2966,"1521":2968,"1522":2970,"1523":2972,"1524":2974,"1525":2981,"1526":2982,"1527":2986,"1528":2989,"1529":2991,"1530":2994,"1531":2995,"1532":2997,"1533":3004,"1534":3009,"1535":3018,"1536":3019,"1537":3021,"1549":3054,"1550":3055,"1551":3056,"1552":3057,"1553":3058,"1554":3059,"1555":3060,"1556":3061,"1557":3063,"1558":3064,"1559":3065,"1560":3066,"1561":3067,"1562":3068,"1563":3070,"1564":3071,"1585":3096,"1586":3097,"1587":3098,"1588":3099,"1589":3100,"1590":3101,"1591":3102,"1592":3103,"1593":3105,"1594":3106,"1595":3107,"1596":3108,"1597":3109,"1598":3110,"1599":3111,"1600":3113,"1613":3132,"1614":3138,"1615":3139,"1616":3141,"1629":3156,"1630":3157,"1631":3158,"1632":3159,"1633":3161,"1634":3163,"1635":3165,"1636":3166,"1637":3167,"1661":3198,"1662":3199,"1663":3202,"1664":3204,"1665":3205,"1666":3207,"1667":3208,"1668":3210,"1669":3211,"1670":3212,"1671":3213,"1672":3214,"1673":3216,"1674":3217,"1675":3218,"1676":3219,"1677":3220,"1678":3221,"1679":3222,"1680":3223,"1681":3224,"1682":3225,"1683":3227,"1684":3230,"1685":3232,"1686":3234,"1687":3235,"1688":3236,"1689":3237,"1690":3239,"1691":3244,"1692":3245,"1693":3247,"1694":3248,"1695":3249,"1696":3250,"1697":3252,"1698":3253,"1699":3254,"1700":3257,"1701":3260,"1702":3261,"1703":3263,"1704":3264,"1705":3265,"1706":3266,"1707":3267,"1708":3268,"1709":3269,"1710":3270,"1711":3272,"1712":3273,"1713":3274,"1714":3275,"1715":3278,"1716":3279,"1717":3280,"1718":3281,"1719":3283,"1720":3284,"1721":3285,"1722":3287,"1723":3288,"1724":3291,"1725":3292,"1726":3294,"1727":3295,"1728":3296,"1729":3297,"1730":3298,"1731":3299,"1732":3300,"1733":3301,"1734":3302,"1735":3304,"1736":3305,"1737":3306,"1738":3307,"1739":3308,"1740":3309,"1741":3311,"1742":3312,"1743":3313,"1744":3314,"1745":3327,"1746":3329,"1747":3330,"1748":3331,"1749":3333,"1750":3334,"1751":3336,"1752":3337,"1753":3338,"1754":3340,"1755":3341,"1756":3342,"1757":3344,"1758":3345,"1759":3346,"1760":3347,"1761":3348,"1762":3349,"1763":3353,"1764":3355,"1765":3356,"1766":3359,"1767":3360,"1768":3361,"1769":3364,"1770":3366,"1771":3368,"1772":3369,"1773":3370,"1774":3371,"1775":3372,"1776":3373,"1777":3374,"1778":3375,"1779":3376,"1780":3377,"1781":3378,"1782":3379,"1783":3380,"1784":3381,"1785":3383,"1786":3384,"1787":3385,"1788":3386,"1789":3388,"1790":3392,"1791":3393,"1792":3394,"1793":3395,"1794":3396,"1795":3398,"1796":3399,"1797":3401,"1798":3402,"1799":3405,"1800":3406,"1817":3438,"1818":3439,"1819":3442,"1820":3446,"1821":3447,"1849":3492,"1850":3495,"1851":3498,"1852":3504,"1853":3505,"1854":3506,"1855":3507,"1856":3508,"1857":3516,"1858":3518,"1859":3519,"1860":3520,"1861":3521,"1862":3522,"1863":3523,"1864":3525,"1865":3526,"1866":3527,"1867":3528,"1868":3529,"1869":3530,"1870":3531,"1871":3532,"1872":3533,"1873":3534,"1874":3542,"1875":3543,"1876":3544,"1877":3545,"1878":3546,"1879":3547,"1880":3548,"1881":3550,"1882":3552,"1883":3553,"1884":3555,"1885":3556,"1886":3558,"1887":3562,"1888":3563,"1889":3565,"1907":3595,"1908":3596,"1909":3604,"1910":3605,"1911":3606,"1912":3607,"1913":3608,"1914":3611,"1915":3613,"1916":3616,"1917":3617,"1918":3628,"1919":3630,"1920":3631,"1921":3632,"1922":3633,"1923":3634,"1924":3635,"1925":3637,"1926":3638,"1927":3640,"1928":3643,"1941":3658,"1942":3659,"1943":3660,"1944":3661,"1945":3664,"1946":3667,"1947":3671,"1948":3672,"1949":3673,"1950":3677,"1951":3681,"1952":3684,"1953":3685,"1954":3686,"1955":3687,"1956":3688,"1957":3689,"1958":3691,"1959":3693,"1960":3694,"1961":3695,"1962":3696,"1963":3698,"1964":3699,"1965":3700,"1966":3701,"1967":3702,"1968":3703,"1969":3704,"1970":3705,"1971":3711,"1972":3712,"1973":3713,"1974":3714,"1975":3715,"1976":3717,"1977":3718,"1978":3721,"1979":3722,"1980":3723,"1981":3724,"1982":3725,"1983":3726,"1984":3727,"1985":3728,"1986":3729,"1987":3730,"1988":3731,"1989":3732,"1990":3733,"1991":3737,"1992":3738,"1993":3739,"1994":3740,"1995":3741,"1996":3742,"1997":3743,"1998":3745,"1999":3747,"2000":3748,"2001":3749,"2002":3751,"2003":3753,"2004":3758,"2005":3759,"2006":3760,"2007":3761,"2008":3762,"2009":3763,"2010":3764,"2011":3765,"2012":3766,"2013":3767,"2014":3770,"2015":3771,"2016":3772,"2017":3773,"2018":3774,"2019":3775,"2020":3776,"2021":3777,"2022":3778,"2023":3781,"2024":3782,"2025":3783,"2026":3784,"2027":3785,"2037":3798,"2038":3799,"2039":3800,"2040":3801,"2041":3802,"2042":3806,"2043":3809,"2055":3824,"2056":3825,"2057":3826,"2058":3827,"2059":3828,"2060":3829,"2061":3832,"2062":3833,"2063":3835,"2064":3836,"2065":3837,"2066":3838,"2067":3839,"2068":3840,"2069":3841,"2070":3842,"2071":3843,"2072":3844,"2073":3845,"2074":3846,"2075":3848,"2076":3849,"2077":3851,"2078":3852,"2079":3855,"2080":3856,"2081":3859,"2082":3860,"2083":3862,"2084":3863,"2085":3864,"2086":3866,"2087":3867,"2088":3868,"2089":3869,"2090":3871,"2103":3886,"2104":3888,"2105":3889,"2106":3890,"2107":3891,"2108":3892,"2109":3893,"2110":3894,"2111":3895,"2112":3896,"2113":3897,"2114":3898,"2115":3899,"2116":3900,"2117":3901,"2118":3902,"2119":3903,"2120":3904,"2121":3905,"2122":3906,"2123":3909,"2124":3910,"2125":3911,"2126":3912,"2127":3913,"2128":3914,"2129":3915,"2130":3916,"2131":3917,"2132":3919,"2133":3920,"2134":3921,"2135":3922,"2136":3923,"2137":3924,"2138":3926,"2139":3927,"2140":3928,"2141":3929,"2142":3930,"2143":3932,"2144":3936,"2145":3938,"2146":3939,"2147":3940,"2148":3941,"2149":3942,"2150":3944,"2151":3945,"2152":3946,"2153":3947,"2154":3948,"2155":3949,"2175":3976,"2176":3977,"2177":3978,"2178":3979,"2179":3980,"2180":3981,"2181":3983,"2182":3984,"2183":3985,"2184":3986,"2185":3987,"2186":3988,"2187":3990,"2188":3991,"2189":3993,"2190":3995,"2191":3998,"2192":3999,"2193":4000,"2194":4001,"2195":4002,"2207":4017,"2208":4019,"2209":4020,"2210":4022,"2211":4023,"2212":4025,"2213":4027},{"0":2,"1":3,"2":6,"3":7,"4":10,"5":12,"6":15,"7":18,"8":24,"9":25,"10":27,"11":46,"12":49,"13":51,"14":53,"15":55,"16":57,"19":86,"20":93,"21":94,"22":95,"23":97,"24":98,"25":108,"26":114,"27":115,"28":117,"29":118,"30":119,"31":121,"32":122,"33":125,"34":126,"35":127,"36":132,"37":135,"38":139,"39":144,"40":162,"41":171,"42":177,"43":181,"44":184,"45":186,"46":195,"47":197,"48":198,"49":203,"50":204,"51":212,"52":213,"53":215,"54":219,"55":220,"56":223,"57":229,"58":234,"59":235,"60":237,"61":239,"62":245,"63":246,"64":252,"65":257,"66":263,"67":264,"68":269,"69":274,"70":275,"71":276,"72":278,"73":279,"74":281,"75":284,"76":285,"77":286,"78":287,"79":289,"80":291,"81":292,"82":293,"83":294,"84":299,"85":300,"86":305,"87":306,"88":312,"89":314,"90":315,"91":316,"92":318,"93":319,"94":323,"95":328,"96":336,"97":351,"98":352,"99":354,"100":355,"101":356,"102":358,"103":359,"104":371,"105":375,"106":378,"107":379,"108":383,"117":418,"118":423,"119":425,"120":429,"121":433,"122":439,"123":440,"124":448,"125":451,"126":452,"127":453,"128":455,"129":456,"130":457,"131":458,"132":459,"133":463,"134":470,"135":474,"136":477,"137":484,"138":488,"139":490,"140":492,"141":493,"142":495,"143":499,"144":504,"145":508,"146":520,"147":521,"148":524,"149":525,"150":526,"151":527,"152":528,"163":564,"164":569,"165":570,"166":572,"167":580,"168":583,"169":585,"170":587,"171":588,"172":589,"173":600,"174":601,"175":603,"176":605,"177":610,"178":614,"179":621,"180":623,"181":626,"182":630,"183":639,"184":643,"185":646,"186":649,"187":650,"188":652,"189":656,"190":657,"191":658,"192":661,"193":663,"195":681,"196":682,"197":683,"198":684,"199":687,"200":688,"201":692,"202":694,"203":695,"204":700,"205":702,"206":709,"207":711,"208":712,"209":714,"210":715,"211":716,"212":718,"213":719,"214":720,"215":721,"216":722,"217":723,"218":727,"222":762,"223":765,"224":772,"225":773,"226":774,"227":775,"228":777,"229":780,"230":781,"231":782,"232":783,"233":787,"234":789,"235":791,"236":792,"237":793,"238":796,"239":797,"240":798,"241":799,"242":800,"243":801,"244":802,"245":803,"246":808,"247":809,"248":811,"249":813,"250":814,"251":816,"252":817,"253":818,"254":822,"255":828,"256":829,"257":841,"258":843,"259":844,"260":845,"261":854,"262":856,"263":857,"264":858,"265":859,"266":865,"267":868,"268":870,"269":872,"270":874,"271":875,"272":877,"273":879,"274":881,"275":883,"286":910,"287":912,"288":916,"289":920,"290":922,"291":923,"292":925,"293":927,"294":928,"295":929,"296":936,"297":941,"298":943,"299":944,"300":945,"301":946,"302":947,"303":949,"304":950,"305":951,"306":954,"307":955,"308":956,"309":957,"313":979,"314":980,"315":981,"316":983,"317":984,"318":987,"319":988,"320":989,"321":990,"322":991,"323":992,"324":993,"325":995,"326":996,"327":997,"328":998,"329":999,"330":1000,"331":1001,"332":1003,"333":1004,"334":1009,"335":1010,"336":1012,"337":1013,"338":1015,"339":1016,"340":1018,"341":1020,"342":1021,"343":1022,"344":1023,"345":1028,"346":1029,"347":1031,"350":1045,"351":1050,"352":1054,"353":1067,"354":1068,"355":1069,"356":1073,"357":1075,"358":1084,"359":1091,"360":1095,"361":1096,"362":1110,"363":1125,"364":1137,"365":1145,"366":1146,"367":1148,"368":1157,"369":1159,"370":1161,"371":1162,"372":1163,"373":1164,"374":1167,"375":1169,"376":1171,"377":1176,"378":1181,"379":1182,"380":1183,"381":1184,"382":1187,"383":1190,"384":1193,"385":1200,"386":1205,"387":1206,"388":1218,"389":1225,"390":1231,"391":1232,"392":1233,"393":1237,"394":1240,"395":1241,"396":1243,"397":1245,"398":1246,"399":1247,"400":1250,"401":1258,"402":1267,"403":1268,"404":1269,"405":1272,"406":1273,"407":1274,"408":1276,"409":1277,"410":1278,"411":1280,"412":1281,"413":1283,"414":1285,"415":1286,"416":1287,"417":1288,"418":1290,"419":1291,"420":1292,"421":1293,"422":1294,"423":1295,"424":1297,"425":1298,"426":1300,"427":1304,"428":1313,"429":1316,"432":1344,"433":1345,"434":1346,"435":1350,"436":1353,"437":1354,"438":1369,"439":1370,"440":1372,"441":1377,"442":1383,"443":1385,"444":1387,"445":1388,"446":1389,"447":1393,"448":1394,"449":1395,"450":1396,"451":1403,"452":1407,"453":1410,"454":1413,"455":1416,"461":1445,"462":1446,"463":1448,"464":1449,"465":1450,"466":1458,"467":1464,"468":1465,"469":1472,"470":1473,"471":1475,"472":1480,"473":1485,"474":1496,"475":1500,"476":1504,"477":1515,"478":1516,"479":1537,"480":1545,"481":1550,"482":1552,"483":1554,"484":1556,"485":1557,"486":1558,"487":1559,"488":1560,"489":1561,"490":1562,"491":1563,"492":1565,"493":1570,"494":1573,"495":1577,"496":1580,"497":1583,"498":1585,"499":1586,"500":1589,"501":1597,"502":1600,"503":1601,"504":1606,"505":1607,"506":1609,"507":1618,"508":1620,"509":1621,"510":1622,"511":1623,"512":1624,"513":1626,"514":1627,"515":1634,"516":1636,"517":1638,"518":1639,"519":1644,"520":1652,"521":1661,"522":1667,"523":1668,"524":1669,"525":1672,"526":1673,"527":1676,"528":1677,"529":1680,"530":1681,"531":1687,"532":1693,"533":1695,"534":1702,"535":1704,"536":1705,"537":1706,"538":1709,"539":1710,"540":1712,"541":1713,"542":1714,"543":1718,"544":1719,"545":1720,"546":1733,"550":1752,"551":1753,"552":1754,"553":1755,"554":1756,"555":1757,"556":1758,"557":1759,"558":1768,"559":1773,"560":1774,"561":1782,"562":1783,"563":1785,"564":1787,"565":1798,"566":1806,"567":1809,"568":1815,"569":1816,"570":1817,"571":1818,"572":1819,"578":1839,"579":1841,"580":1843,"581":1844,"582":1845,"583":1849,"584":1852,"585":1855,"586":1857,"587":1864,"588":1866,"589":1870,"596":1892,"597":1893,"598":1894,"599":1896,"600":1898,"601":1899,"602":1900,"603":1901,"604":1902,"605":1903,"606":1904,"607":1905,"608":1906,"612":1920,"613":1922,"614":1930,"615":1933,"616":1936,"617":1940,"618":1943,"619":1950,"620":1952,"621":1956,"622":1958,"623":1960,"624":1961,"625":1971,"626":1974,"627":1976,"628":1977,"629":1978,"630":1980,"631":1983,"639":2028,"640":2029,"641":2031,"642":2032,"643":2034,"644":2037,"645":2041,"646":2045,"647":2048,"648":2049,"649":2064,"650":2067,"651":2068,"652":2070,"653":2073,"654":2074,"655":2077,"656":2087,"657":2094,"658":2108,"659":2111,"660":2112,"661":2118,"662":2122,"663":2126,"664":2128,"665":2130,"666":2132,"667":2133,"668":2135,"669":2137,"670":2138,"671":2139,"672":2143,"673":2146,"674":2147,"675":2148,"676":2159,"677":2162,"678":2164,"679":2165,"680":2169,"681":2170,"682":2171,"683":2172,"684":2173,"685":2174,"686":2176,"687":2179,"688":2180,"689":2182,"690":2183,"691":2185,"692":2188,"693":2189,"694":2190,"695":2191,"696":2193,"697":2195,"698":2199,"699":2202,"700":2204,"701":2209,"702":2211,"703":2213,"704":2215,"705":2216,"706":2219,"707":2223,"708":2227,"709":2231,"710":2234,"711":2236,"712":2237,"713":2238,"714":2239,"715":2240,"716":2241,"717":2243,"718":2245,"719":2246,"720":2247,"721":2248,"722":2249,"723":2254,"724":2257,"725":2258,"726":2266,"727":2267,"728":2268,"729":2270,"730":2273,"731":2274,"732":2280,"733":2281,"734":2289,"735":2290,"736":2294,"737":2296,"738":2297,"739":2299,"740":2302,"741":2306,"742":2308,"743":2311,"744":2317,"745":2318,"746":2320,"747":2322,"749":2342,"750":2343,"751":2345,"752":2346,"753":2363,"754":2369,"755":2388,"756":2394,"757":2397,"758":2406,"759":2408,"760":2410,"761":2412,"762":2429,"763":2430,"764":2432,"765":2437,"766":2441,"767":2442,"768":2443,"769":2444,"770":2448,"771":2458,"772":2463,"773":2468,"774":2469,"775":2480,"776":2481,"777":2489,"778":2491,"779":2492,"780":2494,"781":2497,"782":2505,"783":2509,"784":2512,"785":2513,"786":2515,"787":2532,"794":2554,"795":2555,"796":2556,"797":2560,"798":2561,"799":2562,"800":2563,"801":2564,"802":2565,"803":2566,"804":2567,"805":2569,"806":2570,"807":2573,"808":2575,"809":2578,"810":2580,"811":2591,"812":2592,"813":2595,"814":2597,"815":2598,"816":2600,"817":2601,"818":2602,"819":2605,"820":2607,"821":2608,"822":2609,"823":2610,"824":2611,"825":2613,"826":2620,"827":2622,"828":2625,"829":2626,"830":2627,"831":2628,"832":2629,"833":2631,"834":2632,"835":2635,"836":2637,"838":2639,"839":2642,"840":2645,"841":2648,"842":2649,"843":2652,"844":2663,"845":2666,"846":2670,"847":2671,"848":2672,"849":2675,"850":2680,"851":2683,"852":2686,"853":2691,"854":2692,"855":2697,"856":2702,"858":2726,"859":2728,"860":2730,"861":2731,"862":2732,"863":2735,"864":2760,"865":2762,"866":2769,"867":2772,"868":2776,"869":2778,"870":2782,"874":2801,"875":2802,"876":2804,"877":2808,"878":2811,"879":2817,"880":2818,"881":2819,"882":2820,"883":2821,"884":2822,"885":2823,"886":2825,"887":2826,"888":2827,"889":2828,"895":2860,"896":2862,"897":2863,"898":2867,"899":2870,"900":2871,"901":2872,"902":2875,"903":2877,"904":2879,"905":2881,"906":2882,"907":2886,"908":2887,"909":2888,"910":2890,"911":2892,"912":2898,"913":2906,"914":2911,"915":2914,"916":2915,"917":2916,"918":2940,"919":2943,"920":2944,"921":2945,"922":2947,"923":2948,"925":2957,"926":2958,"927":2959,"928":2960,"929":2961,"930":2962,"931":2963,"932":2964,"933":2967,"934":2969,"935":2971,"936":2973,"937":2975,"938":2979,"939":2983,"940":2984,"941":2990,"942":3000,"943":3002,"945":3015,"946":3017,"947":3020,"948":3022,"949":3024,"950":3025,"951":3026,"952":3028,"953":3029,"955":3042,"956":3069,"961":3104,"965":3130,"966":3133,"967":3134,"968":3136,"969":3140,"970":3154,"971":3155,"972":3160,"973":3162,"974":3164,"982":3201,"983":3203,"984":3206,"985":3209,"986":3215,"987":3226,"988":3228,"989":3229,"990":3231,"991":3233,"992":3238,"993":3240,"994":3242,"995":3243,"996":3246,"997":3251,"998":3256,"999":3258,"1000":3259,"1001":3262,"1002":3271,"1003":3276,"1004":3277,"1005":3282,"1006":3286,"1007":3289,"1008":3293,"1009":3303,"1010":3310,"1011":3316,"1012":3317,"1013":3320,"1014":3321,"1015":3322,"1016":3324,"1017":3332,"1018":3339,"1019":3343,"1020":3357,"1021":3358,"1022":3362,"1023":3363,"1024":3365,"1025":3367,"1026":3382,"1027":3387,"1028":3389,"1029":3391,"1030":3397,"1031":3400,"1032":3403,"1033":3404,"1034":3407,"1035":3408,"1036":3409,"1045":3440,"1046":3443,"1047":3444,"1048":3448,"1049":3449,"1065":3494,"1066":3497,"1067":3500,"1068":3501,"1069":3512,"1070":3513,"1071":3517,"1072":3524,"1073":3535,"1074":3536,"1075":3537,"1076":3538,"1077":3539,"1078":3540,"1079":3541,"1080":3549,"1081":3551,"1082":3554,"1083":3557,"1084":3559,"1085":3560,"1086":3564,"1087":3569,"1089":3592,"1090":3593,"1091":3594,"1092":3599,"1093":3600,"1094":3601,"1095":3610,"1096":3614,"1097":3615,"1098":3618,"1099":3619,"1100":3620,"1101":3621,"1102":3622,"1103":3623,"1104":3627,"1105":3636,"1106":3639,"1107":3641,"1108":3642,"1111":3662,"1112":3663,"1113":3665,"1114":3670,"1115":3674,"1116":3675,"1117":3676,"1118":3678,"1119":3680,"1120":3682,"1121":3683,"1122":3692,"1123":3706,"1124":3707,"1125":3708,"1126":3709,"1127":3716,"1128":3719,"1129":3720,"1130":3734,"1131":3735,"1132":3736,"1133":3744,"1134":3746,"1135":3750,"1136":3752,"1137":3756,"1138":3768,"1139":3769,"1140":3779,"1141":3780,"1145":3803,"1146":3804,"1147":3805,"1148":3807,"1149":3808,"1150":3811,"1152":3830,"1153":3831,"1154":3834,"1155":3847,"1156":3850,"1157":3853,"1158":3854,"1159":3857,"1160":3861,"1161":3865,"1162":3870,"1165":3887,"1166":3907,"1167":3908,"1168":3925,"1169":3931,"1170":3933,"1171":3934,"1172":3937,"1173":3943,"1181":3982,"1182":3989,"1183":3992,"1184":3994,"1185":3996,"1186":4003,"1188":4018,"1189":4021,"1190":4026},{"0":19,"1":22,"2":50,"3":90,"4":99,"5":101,"6":112,"7":136,"8":196,"9":205,"10":218,"11":236,"12":253,"13":282,"14":288,"15":296,"16":297,"17":298,"18":310,"19":313,"20":321,"21":329,"22":338,"23":339,"24":341,"25":342,"26":343,"27":344,"28":350,"29":363,"30":364,"34":408,"35":427,"36":428,"37":435,"38":443,"39":462,"40":473,"41":485,"42":497,"43":523,"51":574,"52":576,"53":586,"54":620,"55":631,"56":632,"57":655,"58":660,"59":662,"61":690,"62":691,"63":698,"64":699,"65":706,"66":707,"67":708,"68":725,"70":760,"71":768,"72":770,"73":771,"74":778,"75":786,"76":819,"77":824,"78":831,"79":834,"80":837,"81":839,"82":842,"83":847,"84":850,"85":878,"86":880,"88":904,"89":908,"90":909,"91":915,"92":918,"93":919,"94":921,"95":924,"96":926,"97":930,"98":931,"99":934,"100":937,"101":938,"102":942,"103":952,"104":953,"105":958,"106":976,"107":977,"108":982,"109":986,"110":994,"111":1005,"112":1006,"113":1008,"114":1014,"115":1024,"116":1027,"117":1030,"118":1053,"119":1064,"120":1066,"121":1070,"122":1082,"123":1083,"124":1085,"125":1086,"126":1119,"127":1120,"128":1121,"129":1123,"130":1124,"131":1126,"132":1127,"133":1129,"134":1130,"135":1131,"136":1132,"137":1133,"138":1135,"139":1154,"140":1155,"141":1166,"142":1168,"143":1179,"144":1197,"145":1223,"146":1236,"147":1238,"148":1270,"149":1284,"150":1296,"151":1299,"152":1301,"153":1302,"154":1303,"155":1305,"156":1314,"157":1351,"158":1355,"159":1356,"160":1358,"161":1362,"162":1364,"163":1365,"164":1371,"165":1378,"166":1391,"167":1397,"168":1401,"169":1405,"170":1414,"171":1418,"172":1419,"173":1420,"174":1423,"183":1444,"184":1456,"185":1457,"186":1461,"187":1463,"188":1466,"189":1467,"190":1476,"191":1477,"192":1478,"193":1479,"194":1492,"195":1544,"196":1549,"197":1555,"198":1564,"199":1588,"200":1656,"201":1671,"202":1679,"203":1685,"204":1701,"205":1707,"206":1715,"207":1716,"211":1779,"212":1788,"213":1846,"214":1847,"215":1872,"220":1931,"221":1953,"222":1954,"223":1963,"224":1965,"227":2027,"228":2036,"229":2039,"230":2046,"231":2080,"232":2101,"233":2107,"234":2113,"235":2124,"236":2131,"237":2136,"238":2155,"239":2168,"240":2175,"241":2177,"242":2178,"243":2187,"244":2196,"245":2197,"246":2200,"247":2201,"248":2203,"249":2212,"250":2214,"251":2217,"252":2218,"253":2222,"254":2230,"255":2232,"256":2242,"257":2244,"258":2250,"259":2252,"260":2253,"261":2256,"262":2260,"263":2261,"264":2262,"265":2263,"266":2264,"267":2265,"268":2271,"269":2272,"270":2276,"271":2278,"272":2282,"273":2284,"274":2286,"275":2287,"276":2303,"277":2304,"278":2321,"279":2356,"280":2455,"281":2456,"282":2457,"283":2459,"284":2460,"285":2493,"286":2495,"287":2498,"288":2500,"289":2507,"290":2508,"291":2511,"292":2526,"293":2579,"294":2581,"295":2582,"296":2583,"297":2588,"298":2589,"299":2604,"300":2606,"301":2612,"302":2615,"303":2617,"304":2621,"305":2623,"306":2634,"308":2641,"309":2647,"310":2654,"311":2658,"312":2662,"313":2665,"314":2674,"315":2678,"316":2679,"317":2682,"318":2684,"319":2685,"320":2688,"321":2693,"322":2695,"323":2698,"324":2700,"325":2704,"326":2706,"327":2707,"328":2708,"329":2773,"330":2777,"331":2780,"332":2781,"333":2783,"334":2798,"335":2800,"336":2805,"337":2813,"338":2815,"339":2824,"340":2829,"342":2857,"343":2865,"344":2889,"345":2891,"346":2894,"347":2941,"348":2949,"349":2976,"350":2992,"351":3010,"352":3023,"353":3027,"354":3062,"355":3112,"357":3131,"358":3135,"359":3137,"360":3255,"361":3290,"362":3323,"363":3335,"364":3350,"365":3351,"366":3352,"367":3390,"372":3441,"373":3445,"374":3496,"375":3503,"376":3510,"377":3511,"378":3514,"379":3561,"380":3566,"381":3567,"382":3568,"383":3570,"384":3571,"387":3597,"388":3598,"389":3602,"390":3603,"391":3609,"392":3625,"393":3626,"394":3669,"395":3679,"396":3697,"397":3710,"398":3755,"399":3757,"400":3810,"401":3858,"402":3918,"403":3935,"404":3997,"405":4016,"406":4024},{"0":20,"1":84,"2":91,"3":96,"4":100,"5":102,"6":109,"7":194,"8":199,"9":200,"10":201,"11":202,"12":301,"13":311,"14":340,"15":345,"16":412,"17":616,"18":617,"19":703,"20":704,"21":740,"22":833,"23":836,"24":873,"25":940,"26":978,"27":1173,"28":1242,"29":1266,"30":1312,"31":1357,"32":1359,"33":1360,"34":1361,"35":1363,"36":1402,"37":1406,"38":1409,"39":1422,"41":1452,"42":1453,"43":1455,"44":1468,"45":1481,"46":1533,"47":1535,"48":1536,"49":1547,"50":1548,"51":1574,"52":1708,"53":1717,"54":1721,"55":1848,"56":1850,"57":1851,"58":1853,"59":1854,"61":1962,"62":1964,"63":2151,"64":2184,"65":2205,"66":2206,"67":2207,"68":2208,"69":2210,"70":2220,"71":2221,"72":2224,"73":2225,"74":2226,"75":2228,"76":2235,"77":2255,"78":2259,"79":2275,"80":2454,"81":2474,"82":2587,"83":2599,"84":2633,"85":2653,"86":2655,"87":2656,"88":2657,"89":2659,"90":2660,"91":2661,"92":2664,"93":2668,"94":2669,"95":2689,"96":2696,"97":2779,"98":2807,"99":2810,"100":2812,"101":2814,"102":2831,"104":2893,"105":2895,"106":2996,"107":3008,"108":3048,"109":3200,"110":3315,"111":3318,"112":3319,"113":3325,"114":3326,"115":3328,"116":3354,"117":3493,"118":3502,"119":3509,"120":3515,"121":3612,"122":3624,"123":3629,"124":3668,"125":3754},[103,216,277,295,741,742,743,745,748,750,752,753,754,755,756,757,804,805,1071,1072,1253,1256,1451,1454,1539,1543,1576,1578,1840,1942,2233,2251,2269,2279,2614,2681,2687,2694,2701,2803,3014,3016,3044,3046,3049,3050,3051,3052,3053,3241,3499,3666,3690],[79,744,746,747,751,1074,1541,1581,2644,2667,2677,2703,2705,2709,2985,2988,3006,3012,3043,3045,3047],[749,2277,2643,2987,2998,2999,3001,3007],[2699,2977,2978,2993,3005,3013],[2980,3011]]