[{"1":1,"3":3,"4":5,"5":7,"7":9,"8":10,"11":13,"12":16,"14":20,"16":22,"18":25,"20":27,"23":30,"26":33,"28":35,"29":37,"30":38,"33":42,"34":43,"38":47,"39":48,"40":49,"45":57,"47":60,"48":61,"50":63,"51":64,"53":66,"55":68,"58":71,"59":72,"60":73,"61":74,"64":77,"65":78,"67":80,"68":81,"71":84,"73":86,"74":87,"75":88,"77":90,"78":91,"81":95,"83":97,"84":99,"87":102,"91":106,"96":113,"98":116,"101":119,"103":121,"104":122,"106":124,"107":125,"108":127,"110":129,"115":138,"116":139,"118":143,"119":144,"120":145,"121":147,"122":148,"123":149,"125":151,"127":154,"129":156,"130":157,"131":158,"134":161,"135":162,"136":163,"139":168,"143":174,"145":177,"148":180,"149":182,"150":183,"153":186,"154":187,"155":188,"158":191,"159":192,"165":199,"168":202,"170":204,"179":213,"180":214,"184":221,"186":225,"187":226,"188":227,"192":231,"196":236,"197":237,"199":242,"200":243,"201":244,"203":246,"204":247,"206":249,"207":251,"210":254,"211":255,"214":258,"215":259,"216":260,"218":263,"219":264,"220":265,"224":269,"228":274,"230":276,"231":277,"232":278,"237":283,"241":288,"243":292,"244":294,"249":299,"250":300,"254":304,"255":305,"256":306,"258":308,"260":310,"261":311,"263":313,"264":314,"266":316,"267":317,"269":320,"270":321,"271":322,"272":324,"273":325,"276":328,"277":329,"278":330,"279":331,"281":333,"284":336,"286":338,"287":339,"288":341,"293":346,"295":348,"297":351,"298":353,"299":354,"303":359,"304":360,"305":361,"306":362,"307":363,"308":364,"309":365,"311":368,"313":370,"316":373,"317":374,"318":376,"319":377,"320":378,"322":380,"323":381,"324":382,"325":383,"326":385,"328":387,"330":391,"332":397,"333":398,"334":399,"336":401,"339":404,"340":405,"341":406,"342":407,"345":413,"346":414,"347":417,"348":418,"349":419,"350":420,"352":422,"360":432,"361":433,"366":440,"367":441,"369":443,"371":445,"372":446,"373":447,"375":449,"377":451,"379":453,"380":454,"381":455,"382":456,"384":458,"385":460,"388":463,"389":464,"392":468,"394":471,"396":473,"397":474,"398":475,"399":476,"401":478,"402":479,"403":481,"405":483,"406":484,"407":485,"408":486,"409":487,"411":489,"413":491,"414":492,"416":494,"419":498,"420":499,"423":502,"424":503,"426":505,"427":507,"428":508,"429":509,"430":510,"431":511,"432":512,"434":514,"438":518,"443":523,"449":529,"450":530,"452":532,"454":534,"455":535,"456":536,"457":537,"458":538,"459":539,"460":540,"462":543,"464":545,"465":548,"466":549,"467":550,"469":552,"470":553,"472":555,"473":556,"474":557,"477":560,"478":561,"479":564,"481":566,"483":569,"484":570,"485":572,"486":573,"487":575,"489":577,"491":579,"493":581,"494":582,"495":583,"497":585,"499":588,"500":589,"501":590,"505":594,"506":595,"511":600,"512":601,"515":606,"518":610,"519":611,"521":613,"523":615,"524":616,"525":617,"526":618,"527":619,"528":620,"529":621,"530":623,"533":626,"534":627,"536":629,"537":630,"539":632,"542":636,"545":640,"547":644,"548":645,"550":648,"553":651,"555":653,"556":654,"559":657,"560":658,"563":662,"564":663,"565":664,"567":666,"570":669,"573":672,"574":673,"577":677,"578":678,"579":679,"580":680,"581":681,"582":682,"583":684,"586":689,"587":691,"588":692,"589":693,"593":702,"594":703,"595":704,"598":707,"599":708,"600":709,"601":710,"602":711,"605":716,"607":718,"610":721,"612":725,"613":726,"614":727,"617":730,"618":731,"619":732,"622":736,"623":737,"625":739,"627":744,"629":746,"630":747,"632":749,"633":750,"634":751,"639":756,"640":757,"641":759,"643":761,"644":762,"645":763,"646":764,"647":765,"649":770,"654":776,"656":778,"657":779,"659":781,"660":783,"661":784,"663":786,"664":787,"665":788,"666":789,"667":790,"669":792,"670":793,"671":794,"672":795,"673":796,"674":797,"676":800,"677":801,"678":802,"680":804,"682":806,"684":808,"686":810,"687":811,"688":812,"689":813,"690":814,"691":816,"692":817,"693":818,"694":819,"697":822,"698":823,"700":826,"701":827,"703":829,"704":830,"706":833,"707":834,"709":837,"710":838,"711":839,"721":851,"726":859,"727":860,"728":862,"729":863,"730":864,"731":865,"733":867,"735":869,"736":870,"738":872,"739":873,"740":875,"743":878,"746":882,"747":883,"749":887,"750":889,"752":892,"753":893,"755":895,"756":896,"760":902,"762":904,"764":906,"765":907,"766":908,"768":910,"769":911,"771":914,"772":915,"773":916,"776":919,"778":921,"779":922,"780":923,"781":924,"784":927,"785":928,"786":929,"787":930,"788":931,"789":932,"790":933,"791":934,"793":936,"795":940,"796":941,"798":943,"800":945,"802":948,"803":949,"805":951,"806":952,"808":956,"809":957,"812":960,"814":962,"815":963,"816":964,"817":965,"818":966,"819":967,"820":968,"822":970,"823":971,"824":972,"825":973,"827":976,"828":977,"829":978,"830":980,"831":982,"833":984,"834":985,"837":989,"838":990,"839":991,"841":993,"843":996,"844":997,"845":998,"846":999,"847":1000,"849":1002,"850":1004,"851":1005,"853":1007,"854":1008,"855":1010,"856":1011,"858":1026,"862":1033,"863":1034,"870":1043,"874":1049,"875":1050,"878":1053,"879":1054,"881":1056,"884":1059,"891":1066,"894":1069,"896":1072,"901":1077,"903":1079,"904":1080,"905":1081,"909":1088,"915":1095,"917":1097,"920":1100,"921":1102,"922":1103,"924":1105,"927":1108,"929":1111,"930":1112,"931":1114,"932":1115,"934":1117,"935":1118,"937":1120,"940":1123,"941":1125,"945":1129,"946":1130,"948":1132,"949":1133,"951":1135,"952":1136,"953":1137,"956":1141,"958":1143,"959":1145,"964":1152,"966":1157,"967":1158,"968":1159,"969":1160,"971":1164,"974":1167,"976":1170,"977":1171,"978":1172,"979":1173,"981":1175,"982":1176,"983":1177,"984":1178,"986":1181,"987":1182,"988":1183,"989":1184,"994":1190,"999":1195,"1001":1197,"1002":1198,"1010":1206,"1018":1216,"1020":1218,"1021":1219,"1023":1221,"1024":1222,"1026":1224,"1028":1226,"1031":1229,"1032":1230,"1033":1231,"1034":1232,"1035":1233,"1037":1236,"1040":1240,"1042":1242,"1047":1247,"1048":1249,"1050":1251,"1056":1257,"1058":1259,"1060":1261,"1061":1262,"1062":1264,"1064":1266,"1072":1274,"1073":1275,"1074":1276,"1075":1277,"1082":1284,"1083":1285,"1084":1286,"1086":1290,"1091":1296,"1092":1297,"1094":1301,"1095":1302,"1100":1308,"1103":1311,"1105":1314,"1106":1315,"1107":1316,"1108":1318,"1112":1323,"1113":1324,"1114":1325,"1117":1329,"1118":1330,"1119":1331,"1120":1333,"1124":1340,"1125":1342,"1126":1343,"1127":1344,"1130":1347,"1131":1348,"1133":1351,"1134":1352,"1136":1355,"1137":1356,"1138":1357,"1139":1358,"1141":1360,"1143":1362,"1145":1364,"1146":1365,"1147":1366,"1148":1367,"1149":1368,"1150":1369,"1152":1373,"1153":1374,"1154":1376,"1156":1379,"1157":1380,"1158":1381,"1159":1382,"1160":1383,"1161":1384,"1163":1386,"1164":1388,"1166":1390,"1167":1391,"1168":1392,"1170":1395,"1171":1396,"1173":1398,"1174":1399,"1176":1402,"1178":1405,"1179":1406,"1182":1410,"1183":1411,"1184":1412,"1185":1413,"1186":1414,"1188":1416,"1189":1417,"1192":1420,"1196":1425,"1198":1427,"1200":1430,"1204":1438,"1205":1439,"1215":1449,"1219":1455,"1221":1457,"1223":1460,"1224":1461,"1225":1462,"1228":1466,"1230":1470,"1231":1471,"1232":1472,"1237":1477,"1242":1482,"1243":1485,"1244":1486,"1249":1491,"1251":1493,"1256":1499,"1258":1501,"1259":1502,"1261":1504,"1262":1508,"1264":1510,"1267":1513,"1269":1515,"1272":1520,"1274":1522,"1275":1523,"1276":1524,"1279":1527,"1284":1533,"1286":1535,"1287":1536,"1289":1538,"1294":1545,"1295":1546,"1297":1549,"1299":1551,"1300":1553,"1304":1557,"1305":1558,"1306":1560,"1307":1562,"1313":1568,"1314":1569,"1317":1572,"1318":1573,"1322":1578,"1323":1579,"1329":1585,"1330":1586,"1331":1588,"1332":1589,"1337":1595,"1341":1599,"1342":1600,"1344":1602,"1347":1606,"1356":1617,"1357":1618,"1358":1619,"1360":1621,"1362":1624,"1365":1627,"1368":1631,"1371":1637,"1372":1638,"1375":1641,"1376":1643,"1377":1644,"1378":1645,"1381":1649,"1382":1650,"1384":1652,"1386":1654,"1389":1657,"1392":1661,"1395":1664,"1396":1665,"1397":1666,"1401":1672,"1407":1680,"1408":1681,"1409":1682,"1412":1686,"1421":1696,"1423":1698,"1424":1701,"1425":1702,"1427":1704,"1429":1706,"1430":1707,"1432":1709,"1435":1712,"1437":1714,"1438":1715,"1442":1719,"1444":1721,"1447":1724,"1448":1725,"1451":1728,"1452":1730,"1453":1731,"1454":1732,"1456":1735,"1458":1738,"1459":1739,"1462":1742,"1465":1745,"1468":1749,"1471":1754,"1472":1755,"1475":1759,"1476":1761,"1477":1762,"1481":1766,"1483":1768,"1485":1770,"1486":1771,"1487":1772,"1489":1774,"1491":1776,"1492":1778,"1494":1780,"1495":1781,"1496":1782,"1497":1784,"1498":1785,"1499":1787,"1500":1788,"1501":1789,"1502":1792,"1503":1793,"1504":1794,"1506":1796,"1507":1798,"1508":1799,"1509":1801,"1510":1802,"1511":1803,"1512":1804,"1514":1807,"1515":1809,"1516":1810,"1517":1811,"1519":1813,"1521":1815,"1523":1817,"1527":1821,"1528":1823,"1529":1824,"1530":1825,"1534":1831,"1535":1833,"1537":1836,"1538":1838,"1539":1839,"1540":1840,"1541":1841,"1542":1842,"1543":1843,"1544":1845,"1546":1847,"1552":1855,"1554":1857,"1555":1858,"1558":1861,"1559":1862,"1560":1863,"1562":1865,"1563":1866,"1564":1867,"1565":1868,"1566":1869,"1568":1872,"1569":1873,"1571":1875,"1572":1876,"1575":1879,"1577":1881,"1578":1882,"1579":1883,"1580":1884,"1581":1886,"1582":1887,"1583":1888,"1584":1889,"1585":1890,"1586":1891,"1587":1892,"1590":1896,"1591":1898,"1592":1900,"1593":1901,"1598":1906,"1600":1910,"1601":1911,"1602":1912,"1605":1915,"1606":1916,"1608":1918,"1609":1919,"1610":1921,"1611":1922,"1614":1927,"1615":1928,"1616":1929,"1617":1930,"1618":1931,"1619":1932,"1620":1933,"1621":1934,"1625":1939,"1626":1941,"1627":1942,"1628":1943,"1629":1945,"1631":1947,"1632":1948,"1633":1949,"1636":1953,"1638":1955,"1639":1956,"1640":1957,"1642":1959,"1643":1960,"1647":1966,"1649":1970,"1650":1971,"1652":1974,"1654":1976,"1655":1977,"1657":1979,"1658":1980,"1659":1981,"1660":1982,"1662":1984,"1664":1988,"1665":1989,"1667":1991,"1668":1992,"1669":1993,"1670":1994,"1671":1995,"1673":1999,"1678":2005,"1679":2006,"1680":2007,"1684":2011,"1685":2012,"1686":2013,"1688":2015,"1689":2017,"1692":2020,"1693":2021,"1694":2022,"1696":2025,"1697":2026,"1698":2028,"1699":2029,"1700":2030,"1706":2057,"1709":2083,"1710":2088,"1713":2117,"1714":2125,"1715":2126,"1716":2128,"1717":2129,"1718":2133,"1719":2140,"1721":2152,"1725":2188,"1726":2189,"1729":2201,"1730":2210,"1731":2214,"1732":2218,"1733":2223,"1734":2228,"1735":2232,"1736":2234,"1737":2236,"1738":2239,"1739":2240,"1741":2262,"1742":2265,"1743":2266,"1744":2278,"1745":2281,"1746":2285,"1747":2288,"1748":2290,"1749":2292,"1750":2305,"1751":2307,"1752":2310,"1754":2318,"1756":2324,"1757":2326,"1758":2331,"1759":2332,"1760":2339,"1761":2345,"1763":2355,"1764":2358,"1766":2410,"1769":2439,"1771":2444,"1774":2478,"1775":2479,"1776":2496,"1777":2524,"1779":2534,"1782":2546,"1787":2559,"1788":2562,"1790":2572,"1794":2598,"1795":2602,"1796":2609,"1797":2615,"1799":2632,"1801":2648,"1802":2657,"1803":2659,"1804":2660,"1805":2680,"1806":2682,"1807":2698,"1810":2702,"1814":2728,"1815":2737,"1817":2740,"1819":2761,"1820":2768,"1821":2769,"1822":2779,"1823":2783,"1824":2788,"1826":2800,"1829":2809,"1830":2814,"1831":2815,"1832":2835,"1834":2856,"1836":2858,"1837":2863,"1838":2867,"1839":2869,"1842":2876,"1843":2877,"1844":2880,"1846":2898,"1849":2920,"1850":2924,"1851":2925,"1852":2932,"1853":2937,"1855":2953,"1858":2967,"1859":2976,"1861":2981,"1864":2990,"1868":3000,"1870":3009,"1871":3010,"1872":3014,"1873":3020,"1874":3024,"1876":3036,"1878":3054,"1879":3061,"1881":3073,"1882":3076,"1883":3084,"1885":3107,"1886":3123,"1888":3127,"1890":3143,"1892":3171,"1894":3187,"1895":3189,"1896":3190,"1898":3199,"1900":3207,"1901":3210,"1902":3213,"1904":3218,"1906":3237,"1907":3253,"1908":3273,"1910":3290,"1912":3297,"1913":3300,"1915":3308,"1916":3324,"1918":3330,"1919":3332,"1920":3334,"1922":3341,"1926":3374,"1927":3384,"1928":3394,"1929":3405,"1930":3411,"1932":3414,"1933":3421,"1935":3446,"1936":3450,"1937":3451,"1939":3470,"1940":3473,"1941":3480,"1942":3483,"1943":3497,"1944":3499,"1946":3519,"1947":3521,"1948":3524,"1950":3537,"1951":3538,"1952":3552,"1953":3553,"1954":3555,"1955":3557,"1956":3561,"1961":3595,"1962":3596,"1963":3618,"1964":3619,"1965":3624,"1966":3625,"1967":3626,"1968":3631,"1972":3656,"1973":3662,"1974":3663,"1975":3667,"1976":3669,"1977":3675,"1980":3699,"1982":3713,"1983":3714,"1984":3717,"1988":3750,"1989":3753,"1990":3754,"1993":3775,"1994":3776,"1995":3782,"1996":3789,"1997":3792,"1998":3808,"2000":3811,"2001":3831,"2002":3834,"2004":3852,"2005":3866,"2007":3868,"2012":3906,"2014":3922,"2015":3928,"2016":3929,"2017":3938,"2018":3942,"2019":3943,"2025":3975,"2026":3992,"2027":3996,"2028":3999,"2029":4003,"2030":4010,"2031":4021,"2032":4029,"2035":4049,"2036":4053,"2037":4055,"2038":4067,"2041":4075,"2042":4082},{"0":4,"3":15,"5":19,"6":24,"8":50,"9":55,"10":56,"11":59,"12":93,"15":111,"17":130,"18":133,"20":137,"22":142,"24":153,"25":166,"26":167,"27":170,"30":181,"31":196,"33":218,"34":220,"35":223,"38":238,"40":241,"42":262,"43":271,"45":289,"46":290,"48":323,"52":357,"53":366,"57":392,"58":393,"59":394,"61":408,"62":409,"64":415,"65":416,"67":426,"68":438,"71":466,"72":470,"73":480,"76":542,"77":546,"80":563,"81":567,"82":571,"84":602,"86":607,"87":622,"89":638,"90":641,"91":643,"92":647,"97":688,"98":690,"99":695,"104":723,"106":741,"107":742,"108":743,"109":758,"110":767,"111":768,"114":799,"117":831,"118":835,"119":850,"120":854,"121":857,"123":861,"124":874,"125":879,"126":884,"127":886,"129":890,"130":899,"135":946,"136":954,"139":981,"141":1003,"143":1012,"144":1014,"146":1017,"149":1020,"152":1023,"155":1028,"157":1040,"162":1084,"163":1086,"164":1101,"170":1150,"171":1153,"172":1154,"173":1155,"174":1161,"175":1163,"176":1169,"177":1179,"178":1187,"180":1235,"181":1239,"182":1248,"183":1263,"185":1293,"186":1298,"189":1320,"190":1326,"191":1332,"195":1341,"197":1353,"201":1378,"202":1393,"203":1404,"206":1428,"207":1433,"209":1436,"211":1451,"212":1454,"217":1484,"218":1494,"219":1505,"221":1507,"224":1530,"226":1541,"231":1587,"234":1610,"235":1612,"237":1629,"238":1633,"245":1677,"246":1679,"247":1683,"250":1700,"253":1748,"254":1750,"256":1756,"257":1760,"258":1777,"259":1783,"260":1786,"261":1790,"262":1791,"263":1800,"264":1806,"265":1808,"266":1822,"267":1828,"269":1832,"270":1834,"271":1837,"272":1850,"274":1871,"276":1893,"277":1897,"279":1908,"280":1920,"281":1925,"282":1926,"283":1938,"284":1940,"286":1950,"287":1965,"288":1967,"289":1969,"291":1985,"293":2002,"296":2036,"298":2038,"299":2039,"301":2041,"308":2060,"309":2062,"311":2070,"312":2071,"313":2075,"314":2076,"316":2094,"317":2102,"318":2105,"319":2108,"320":2111,"322":2119,"324":2130,"326":2135,"327":2136,"331":2162,"332":2173,"333":2181,"334":2183,"339":2203,"340":2205,"341":2206,"342":2211,"344":2216,"345":2222,"348":2227,"349":2231,"352":2253,"353":2255,"354":2263,"359":2279,"360":2280,"361":2283,"362":2291,"364":2306,"366":2320,"368":2327,"369":2338,"370":2340,"371":2347,"372":2354,"373":2357,"374":2363,"375":2364,"377":2375,"383":2397,"385":2413,"386":2415,"387":2425,"391":2450,"392":2454,"393":2457,"394":2465,"395":2471,"397":2481,"398":2482,"399":2483,"400":2485,"401":2486,"402":2487,"405":2495,"406":2502,"409":2523,"410":2529,"412":2533,"413":2538,"414":2544,"415":2547,"416":2564,"417":2566,"418":2567,"419":2568,"421":2574,"422":2582,"423":2583,"425":2594,"427":2603,"430":2607,"433":2628,"435":2637,"438":2653,"441":2666,"442":2669,"444":2686,"446":2688,"447":2691,"449":2704,"452":2713,"453":2715,"455":2729,"456":2731,"457":2733,"458":2736,"460":2759,"461":2763,"462":2764,"465":2797,"468":2822,"469":2823,"470":2825,"475":2840,"476":2845,"477":2846,"478":2847,"481":2864,"482":2878,"483":2879,"484":2882,"487":2894,"488":2896,"490":2919,"491":2922,"492":2926,"493":2930,"495":2940,"496":2947,"497":2951,"498":2955,"500":2958,"501":2959,"502":2963,"503":2972,"505":2985,"507":2994,"510":3015,"511":3027,"513":3037,"514":3044,"515":3055,"516":3059,"517":3060,"519":3075,"521":3093,"522":3095,"525":3101,"527":3110,"529":3119,"530":3126,"533":3149,"536":3155,"537":3157,"542":3176,"544":3192,"545":3195,"546":3198,"548":3228,"549":3229,"552":3235,"553":3238,"554":3251,"556":3279,"557":3292,"560":3298,"563":3320,"564":3327,"566":3335,"569":3357,"571":3359,"573":3364,"574":3365,"575":3373,"576":3375,"577":3377,"578":3393,"579":3407,"581":3422,"582":3426,"584":3429,"585":3433,"586":3440,"587":3447,"588":3458,"590":3476,"591":3484,"593":3498,"598":3511,"599":3513,"600":3516,"601":3517,"603":3520,"604":3522,"605":3526,"608":3546,"610":3556,"611":3563,"612":3568,"615":3577,"617":3590,"619":3597,"620":3598,"622":3606,"623":3607,"624":3620,"625":3622,"630":3658,"632":3660,"634":3673,"636":3678,"637":3689,"638":3691,"641":3705,"643":3718,"644":3730,"645":3733,"647":3741,"648":3743,"650":3752,"651":3765,"653":3769,"656":3783,"657":3785,"658":3787,"660":3800,"663":3806,"670":3822,"672":3847,"673":3849,"674":3854,"675":3864,"677":3882,"678":3884,"679":3886,"683":3923,"685":3930,"686":3933,"687":3939,"688":3940,"689":3945,"691":3947,"692":3949,"698":3966,"705":4005,"706":4019,"707":4020,"710":4030,"711":4031,"712":4032,"713":4033,"715":4041,"716":4042,"717":4044,"719":4058,"721":4064,"722":4065,"724":4077,"725":4095},{"2":293,"3":384,"4":587,"5":694,"6":698,"7":713,"8":771,"9":841,"10":974,"11":988,"12":1013,"15":1091,"16":1151,"19":1305,"20":1317,"21":1387,"23":1464,"25":1671,"27":1797,"28":1844,"29":1909,"30":1963,"31":1986,"33":2027,"34":2043,"36":2047,"37":2050,"40":2107,"41":2110,"42":2131,"43":2134,"44":2149,"46":2156,"47":2163,"49":2170,"50":2180,"51":2202,"52":2207,"57":2242,"59":2248,"60":2251,"61":2257,"65":2300,"66":2343,"67":2346,"68":2349,"69":2356,"70":2367,"71":2374,"76":2420,"79":2433,"80":2434,"81":2448,"82":2491,"83":2501,"84":2514,"85":2516,"86":2517,"88":2542,"89":2553,"92":2576,"94":2601,"97":2636,"100":2690,"101":2696,"103":2730,"104":2741,"107":2755,"108":2760,"109":2803,"114":2910,"116":2917,"118":2927,"120":2950,"123":2987,"124":2992,"125":3017,"132":3105,"133":3108,"135":3125,"138":3165,"139":3180,"142":3225,"145":3262,"146":3288,"147":3296,"148":3303,"149":3331,"155":3399,"158":3439,"159":3441,"162":3456,"165":3481,"166":3486,"172":3531,"174":3572,"175":3579,"177":3589,"178":3602,"181":3639,"183":3652,"184":3657,"187":3715,"190":3759,"192":3781,"193":3790,"197":3813,"198":3815,"200":3844,"202":3885,"204":3904,"206":3927,"207":3936,"208":3941,"209":3970,"210":3988,"211":4000,"212":4009,"215":4043,"217":4047,"218":4048},{"0":2096,"2":2147,"4":2176,"8":2286,"10":2312,"14":2350,"17":2455,"19":2480,"22":2599,"23":2608,"27":2668,"30":2778,"31":2784,"32":2821,"33":2827,"34":2838,"36":2895,"40":2975,"41":2993,"43":3039,"45":3047,"46":3056,"48":3100,"51":3147,"53":3208,"54":3209,"55":3216,"56":3222,"59":3248,"60":3274,"62":3323,"63":3349,"64":3351,"65":3360,"66":3371,"67":3420,"68":3423,"69":3448,"70":3459,"73":3471,"74":3482,"75":3488,"77":3535,"82":3641,"84":3720,"85":3760,"86":3767,"91":3850,"92":3855,"94":3861,"95":3877,"96":3889,"101":4034,"103":4094},{"4":2106,"5":2113,"8":2267,"9":2294,"10":2296,"12":2342,"14":2369,"15":2385,"16":2459,"20":2488,"22":2521,"24":2616,"27":2677,"29":2689,"30":2693,"34":2756,"35":2799,"36":2874,"37":2881,"39":2935,"40":3002,"41":3006,"43":3026,"47":3120,"49":3200,"50":3203,"52":3259,"53":3260,"54":3287,"55":3294,"57":3314,"61":3378,"67":3474,"69":3548,"70":3559,"71":3608,"72":3634,"73":3645,"74":3729,"75":3751,"77":3919,"78":4069,"79":4092},{"3":2116,"4":2138,"5":2145,"8":2361,"9":2388,"10":2408,"11":2460,"12":2494,"13":2513,"14":2565,"15":2627,"16":2645,"17":2658,"18":2665,"19":2703,"21":2969,"22":2973,"23":2978,"25":3011,"30":3086,"31":3089,"33":3140,"34":3158,"35":3226,"40":3310,"41":3339,"43":3366,"45":3397,"46":3425,"48":3444,"49":3475,"52":3610,"53":3666,"54":3684,"55":3707,"56":3772,"61":4056,"62":4078},{"0":2054,"1":2063,"2":2089,"4":2171,"5":2172,"6":2179,"7":2199,"8":2233,"9":2277,"10":2319,"11":2404,"13":2437,"16":2498,"17":2500,"18":2584,"19":2590,"20":2624,"21":2641,"22":2681,"23":2685,"25":2734,"26":2743,"27":2771,"29":2816,"30":2837,"31":2841,"32":2883,"34":2902,"35":2903,"37":2996,"40":3085,"41":3113,"42":3118,"43":3137,"45":3215,"47":3275,"48":3305,"49":3342,"51":3344,"52":3417,"53":3457,"54":3514,"55":3533,"56":3632,"58":3643,"60":3738,"61":3746,"62":3749,"63":3887,"64":3969,"65":4025,"66":4026,"67":4060,"68":4088},{"0":2067,"1":2090,"3":2174,"4":2197,"5":2370,"6":2416,"7":2462,"8":2463,"9":2497,"10":2512,"11":2555,"12":2561,"13":2569,"15":2663,"16":2675,"17":2707,"18":2714,"20":2786,"22":2804,"23":2850,"24":2853,"25":2866,"26":2954,"27":3021,"28":3088,"31":3160,"32":3312,"35":3329,"36":3395,"37":3449,"39":3491,"40":3536,"41":3637,"42":3679,"45":3755,"46":3770,"47":3795,"49":3823,"50":3916,"51":3917,"55":4083,"56":4084,"57":4085},{"0":2077,"1":2104,"2":2146,"4":2244,"5":2316,"6":2360,"8":2532,"9":2540,"10":2573,"11":2589,"12":2656,"13":2678,"15":2744,"16":2782,"18":2813,"19":2842,"20":2859,"21":2891,"22":2948,"24":2970,"25":2971,"26":3005,"28":3050,"29":3128,"30":3178,"31":3205,"32":3217,"33":3255,"34":3355,"35":3386,"36":3403,"37":3408,"38":3409,"39":3427,"41":3469,"43":3494,"45":3528,"46":3530,"47":3574,"49":3672,"50":3677,"51":3825,"52":3827,"54":3890,"55":3909,"56":3918,"57":3920,"60":3987,"61":4012,"62":4017,"63":4072},{"0":2078,"1":2079,"2":2148,"3":2208,"4":2221,"5":2256,"6":2261,"7":2311,"8":2336,"9":2353,"11":2376,"12":2391,"13":2398,"14":2421,"16":2445,"17":2506,"18":2528,"19":2563,"20":2611,"21":2626,"22":2640,"26":2819,"27":2824,"28":2828,"30":2868,"31":2893,"32":3129,"33":3138,"34":3159,"35":3211,"36":3223,"37":3230,"38":3249,"40":3410,"41":3493,"42":3496,"43":3532,"44":3554,"45":3567,"47":3623,"48":3630,"49":3648,"50":3650,"51":3664,"52":3702,"53":3725,"55":3794,"56":3804,"58":3843,"59":3862,"60":3907,"62":3998},{"0":2058,"1":2059,"2":2064,"4":2169,"5":2217,"6":2237,"7":2254,"8":2329,"10":2402,"11":2431,"12":2515,"14":2536,"15":2586,"16":2597,"17":2638,"18":2722,"20":2727,"21":2781,"22":2793,"23":2810,"24":2836,"26":2983,"27":2998,"28":3072,"29":3079,"30":3082,"31":3092,"32":3112,"33":3177,"34":3257,"35":3309,"37":3380,"38":3387,"39":3396,"40":3418,"41":3583,"43":3719,"44":3732,"45":3740,"46":3762,"47":3826,"49":3846,"51":3888,"52":3961,"54":3995},{"0":2082,"1":2085,"2":2087,"3":2144,"4":2200,"5":2304,"6":2344,"7":2394,"8":2395,"9":2429,"10":2436,"11":2440,"12":2466,"13":2473,"14":2541,"16":2694,"17":2758,"18":2777,"19":2808,"20":2918,"21":2933,"22":3016,"23":3029,"24":3052,"26":3071,"27":3111,"28":3132,"29":3135,"30":3153,"31":3172,"33":3271,"36":3401,"37":3438,"38":3503,"39":3545,"40":3551,"41":3562,"42":3569,"43":3617,"44":3638,"45":3642,"46":3665,"47":3682,"48":3701,"50":3837,"51":3859,"52":3860,"53":3871,"54":3873,"57":3915,"58":3931,"59":3977,"60":4022,"61":4087},{"0":2139,"1":2158,"2":2252,"3":2366,"5":2447,"6":2452,"7":2578,"8":2620,"9":2735,"10":2762,"11":2773,"13":2818,"14":2862,"15":2906,"16":2921,"17":2941,"18":2943,"19":2962,"20":2989,"21":3028,"23":3131,"24":3146,"25":3151,"27":3185,"28":3191,"29":3242,"30":3256,"31":3268,"32":3282,"33":3289,"34":3315,"35":3389,"36":3460,"37":3461,"39":3585,"40":3586,"41":3646,"42":3703,"43":3748,"44":3756,"45":3757,"46":3798,"48":3934,"49":3960,"50":4006,"51":4007,"52":4037},{"0":2056,"1":2141,"2":2142,"3":2157,"4":2185,"5":2323,"6":2352,"7":2381,"8":2387,"10":2468,"11":2595,"12":2618,"13":2672,"14":2748,"15":2775,"16":2865,"18":2872,"19":2946,"20":2965,"21":2966,"22":2980,"23":3057,"24":3117,"25":3136,"26":3261,"27":3345,"28":3376,"29":3400,"30":3453,"31":3539,"33":3581,"34":3594,"35":3616,"36":3680,"37":3712,"38":3728,"40":3853,"43":3926,"44":3962,"45":3985,"46":4018,"47":4059,"48":4066},{"0":2065,"1":2074,"2":2098,"4":2167,"5":2168,"6":2175,"7":2258,"8":2269,"9":2298,"10":2383,"12":2424,"13":2505,"14":2591,"15":2593,"16":2647,"17":2650,"18":2664,"19":2684,"20":2732,"21":2766,"23":2860,"24":2974,"26":3041,"27":3078,"28":3090,"29":3104,"30":3204,"31":3233,"32":3263,"33":3281,"34":3392,"35":3547,"36":3566,"37":3573,"38":3600,"39":3731,"40":3742,"41":3784,"42":3799,"43":3878,"44":3879,"45":4038,"46":4054,"47":4057},{"0":2101,"1":2165,"2":2219,"3":2246,"5":2328,"6":2371,"7":2396,"8":2453,"9":2519,"10":2745,"11":2774,"12":2791,"13":2805,"14":3042,"15":3097,"16":3173,"17":3182,"18":3415,"19":3442,"20":3523,"21":3544,"22":3588,"23":3611,"24":3670,"25":3721,"27":3832,"28":3895,"29":4071},{"0":2127,"1":2153,"2":2154,"3":2204,"4":2238,"7":2449,"8":2451,"9":2522,"10":2621,"12":2634,"13":2667,"14":2710,"15":2757,"16":2905,"17":2952,"18":2956,"20":3166,"21":3197,"22":3201,"23":3227,"24":3250,"25":3304,"26":3322,"27":3388,"28":3541,"29":3614,"30":3710,"31":3744,"32":3771,"33":3865,"34":3872,"35":3913,"36":3935,"37":3974,"38":4001,"39":4002,"40":4013},{"0":2198,"1":2224,"3":2406,"4":2419,"5":2476,"6":2490,"8":2511,"9":2604,"10":2617,"11":2649,"12":2674,"13":2720,"14":2776,"15":2789,"16":2829,"17":2915,"18":2942,"19":3007,"20":3167,"21":3168,"22":3283,"23":3284,"24":3286,"25":3340,"27":3601,"28":3636,"29":3704,"30":3711,"31":3840,"32":3857,"33":3880,"34":3911,"35":3954,"36":3980,"38":4076},{"0":2166,"1":2272,"3":2308,"4":2359,"5":2392,"6":2422,"7":2670,"8":2795,"9":2934,"11":3034,"12":3045,"13":3062,"14":3196,"15":3212,"16":3252,"17":3319,"18":3348,"21":3437,"22":3478,"23":3495,"24":3534,"25":3603,"26":3627,"27":3683,"28":3692,"29":3763,"31":3896,"32":3898},{"0":2259,"1":2276,"2":2321,"3":2368,"4":2372,"6":2458,"7":2504,"8":2509,"9":2543,"10":2549,"11":2716,"12":2901,"13":2909,"14":3022,"15":3122,"16":3245,"17":3269,"18":3346,"19":3390,"20":3404,"21":3462,"22":3609,"23":3615,"24":3696,"25":3698,"27":3773,"29":3958,"30":3983,"31":3994},{"0":2120,"1":2215,"2":2282,"3":2335,"4":2379,"5":2400,"6":2438,"7":2484,"8":2508,"10":2695,"11":2711,"12":2751,"13":2767,"15":2892,"16":3019,"17":3043,"18":3239,"19":3280,"20":3307,"21":3326,"22":3347,"23":3382,"24":3385,"25":3489,"26":3604,"27":3722,"28":3761,"29":3903,"30":3984,"31":4046,"32":4073},{"2":2299,"3":2577,"4":2629,"5":2630,"6":2747,"7":2749,"8":2832,"9":2912,"10":3066,"11":3091,"12":3094,"13":3246,"14":3278,"15":3413,"16":3416,"17":3681,"18":3687,"19":3690,"20":3700,"21":3788,"22":3820,"23":3925,"24":4014,"25":4015},{"0":2049,"1":2066,"3":2293,"4":2341,"5":2550,"6":2580,"7":2633,"8":2844,"9":2873,"10":3114,"11":3558,"12":3612,"14":3723,"15":3910,"16":3990,"17":4008},[2114,2245,2545,2765,2770,2913,2929,3070,3162,3267,3325,3445,3467,3734,3851],{"0":2052,"1":2470,"2":2527,"3":2643,"4":2806,"5":2889,"6":2900,"7":3074,"8":3221,"9":3764,"10":3835,"11":3937,"13":4050,"14":4079},{"0":2095,"2":2351,"3":2405,"4":2407,"5":2489,"7":2579,"8":2642,"9":2780,"10":2811,"11":2852,"12":2890,"13":3018,"14":3236,"15":3302,"16":3644,"17":3932},{"1":2378,"2":2849,"3":3265,"4":3270,"5":3406,"6":3948,"7":3951,"8":4093},{"1":2671,"2":2706,"4":3142,"6":3194,"7":3354},{"1":3264,"4":4051},{"2":3432,"3":3824,"4":4091},{"1":3774,"2":3869},[],[]]