[{"0":0,"1":1,"4":4,"9":15,"11":17,"13":21,"16":25,"21":33,"22":34,"26":38,"28":40,"30":42,"33":48,"35":51,"36":52,"37":53,"41":57,"44":61,"45":62,"46":63,"47":64,"49":68,"50":69,"52":71,"53":73,"54":75,"55":76,"56":77,"57":79,"58":80,"59":81,"60":83,"62":88,"63":90,"65":95,"68":102,"71":107,"72":110,"73":111,"74":112,"75":113,"76":115,"77":117,"78":118,"79":119,"82":123,"83":124,"84":126,"85":127,"86":128,"88":130,"92":134,"93":137,"94":138,"96":140,"97":141,"98":142,"100":144,"101":145,"102":146,"103":148,"107":152,"108":153,"110":156,"112":159,"114":161,"115":163,"116":165,"118":169,"119":170,"121":172,"122":174,"123":176,"124":177,"126":180,"127":181,"129":183,"130":184,"131":189,"132":190,"133":191,"134":192,"135":193,"136":194,"138":197,"139":198,"140":199,"142":201,"143":202,"144":204,"145":205,"147":207,"148":209,"150":211,"151":213,"154":218,"155":219,"156":220,"157":221,"158":222,"159":223,"160":224,"161":226,"162":227,"163":228,"164":231,"165":232,"166":233,"168":235,"169":239,"171":244,"172":245,"173":246,"174":247,"177":251,"178":254,"180":257,"182":259,"184":262,"185":263,"186":264,"187":267,"188":268,"189":270,"191":273,"193":276,"194":277,"195":278,"196":279,"197":280,"198":281,"199":282,"200":283,"201":284,"202":285,"204":287,"205":291,"206":293,"207":294,"208":295,"210":300,"211":301,"212":302,"213":303,"214":305,"215":308,"216":309,"217":313,"219":319,"220":320,"224":325,"226":327,"227":329,"228":330,"231":1026,"232":1027,"233":1028,"236":1031,"239":1038,"240":1039,"241":1040,"242":1041,"243":1042,"244":1044,"246":1048,"247":1050,"249":1052,"254":1059,"258":1066,"260":1071,"261":1072,"262":1073,"265":1076,"267":1080,"268":1081,"269":1082,"270":1083,"271":1085,"273":1089,"274":1091,"276":1095,"277":1096,"279":1098,"281":1100,"282":1104,"283":1105,"285":1107,"286":1109,"287":1111,"295":1121,"297":1125,"299":1130,"301":1143,"302":1145,"304":1147,"306":1150,"310":1154,"312":1156,"313":1158,"316":1167,"317":1168,"318":1169,"319":1170,"321":1173,"322":1177,"323":1178,"324":1179,"325":1182,"327":1185,"328":1187,"332":1194,"333":1195,"334":1196,"335":1198,"338":1206,"339":1207,"340":1212,"341":1216,"342":1217,"344":1220,"345":1221,"346":1224,"348":1226,"350":1230,"351":1232,"352":1235,"353":1236,"354":1238,"355":1240,"356":1242,"357":1244,"358":1249,"360":1251,"361":1252,"362":1253,"364":1255,"365":1259,"366":1260,"367":1261,"368":1262,"369":1263,"370":1264,"373":1268,"375":1270,"376":1273,"377":1275,"382":1285,"385":1292,"386":1293,"387":1295,"388":1296,"389":1297,"390":1298,"391":1300,"392":1301,"393":1303,"394":1306,"396":1310,"397":1312,"399":1315,"400":1316,"401":1317,"402":1318,"404":1320,"405":1322,"406":1323,"407":1324,"408":1325,"411":1331,"413":1335,"414":1336,"415":1337,"416":1339,"417":1344,"419":1346,"420":1349,"421":1350,"422":2052,"423":2055,"424":2061,"426":2078,"427":2081,"428":2091,"429":2101,"430":2103,"431":2107,"432":2113,"433":2126,"434":2131,"435":2132,"436":2133,"437":2147,"438":2148,"439":2155,"440":2162,"441":2170,"442":2172,"443":2177,"444":2184,"445":2195,"446":2208,"447":2213,"448":2216,"450":2229,"451":2242,"452":2243,"453":2260,"454":2267,"455":2272,"457":2291,"458":2303,"459":2304,"460":2307,"461":2310,"462":2316,"463":2320,"464":2325,"465":2338,"466":2343,"467":2346,"468":2349,"469":2356,"470":2358,"471":2370,"473":2375,"474":2381,"475":2384,"476":2390,"477":2413,"478":2456,"479":2463,"480":2471,"481":2476,"482":2477,"483":2498,"484":2505,"485":2521,"486":2527,"487":2535,"488":2537,"490":2568,"491":2570,"492":2571,"494":2582,"497":2622,"498":2627,"499":2634,"500":2644,"501":2646,"502":2655,"503":2680,"504":2686,"505":2693,"506":2697,"507":2705,"508":2707,"509":2709,"510":2711,"511":2715,"514":2733,"515":2738,"516":2755,"517":2757,"518":2762,"519":2763,"520":2774,"521":2787,"522":2789,"523":2803,"524":2805,"527":2823,"528":2829,"529":2838,"531":2855,"532":2856,"533":2861,"534":2879,"535":2888,"536":2889,"537":2906,"538":2915,"539":2918,"540":2919,"541":2923,"542":2924,"543":2925,"544":2931,"545":2938,"546":2939,"547":2946,"548":2947,"549":2950,"550":2953,"551":2959,"552":2960,"553":2971,"554":2983,"555":2989,"557":3006,"559":3018,"560":3020,"562":3034,"566":3057,"567":3079,"568":3080,"569":3097,"570":3107,"572":3123,"573":3164,"575":3182,"577":3200,"578":3211,"579":3238,"580":3253,"581":3256,"582":3258,"583":3266,"584":3268,"585":3270,"587":3283,"589":3304,"592":3315,"593":3364,"594":3368,"595":3375,"596":3383,"597":3391,"598":3413,"600":3416,"601":3420,"602":3424,"603":3434,"604":3435,"605":3462,"606":3471,"607":3476,"608":3478,"609":3485,"610":3489,"611":3492,"613":3517,"614":3527,"615":3536,"616":3541,"617":3542,"618":3546,"619":3549,"620":3567,"621":3568,"623":3583,"624":3588,"626":3610,"627":3615,"628":3619,"629":3620,"630":3629,"632":3632,"633":3652,"635":3667,"638":3688,"639":3692,"640":3701,"641":3705,"642":3721,"643":3724,"644":3726,"645":3741,"646":3744,"647":3746,"648":3754,"649":3764,"650":3770,"651":3772,"652":3792,"653":3799,"654":3811,"655":3849,"657":3857,"658":3862,"659":3869,"660":3873,"662":3880,"663":3881,"664":3892,"665":3898,"666":3939,"667":3941,"668":3943,"669":3962,"670":3970,"671":3972,"674":3980,"678":4002,"679":4005,"680":4007,"681":4008,"683":4017,"684":4022,"685":4028,"686":4040,"689":4051,"690":4056,"691":4068,"692":4071,"693":4073,"694":4077,"696":4084,"697":4086,"698":4093},{"5":20,"6":22,"8":27,"11":60,"12":72,"13":74,"16":85,"20":96,"21":98,"23":101,"24":104,"26":109,"27":114,"28":116,"31":147,"32":154,"33":158,"34":162,"36":166,"37":168,"39":175,"40":179,"42":187,"44":203,"46":212,"47":216,"48":225,"49":229,"50":230,"52":238,"54":243,"55":248,"56":252,"57":253,"58":255,"59":260,"61":269,"62":271,"63":274,"64":288,"65":289,"66":292,"67":296,"69":304,"70":306,"72":310,"73":316,"75":331,"76":332,"79":340,"81":343,"82":344,"85":354,"86":355,"87":358,"88":359,"89":364,"93":369,"94":370,"95":372,"96":375,"97":376,"98":377,"99":381,"101":388,"104":391,"106":393,"107":396,"108":397,"109":400,"110":402,"112":407,"117":414,"118":415,"119":417,"120":418,"122":421,"123":422,"124":425,"128":430,"129":432,"130":434,"131":436,"133":442,"134":447,"135":449,"136":451,"138":454,"140":457,"141":462,"143":465,"145":468,"149":477,"150":479,"151":482,"153":486,"156":490,"159":493,"160":495,"161":496,"162":499,"163":502,"164":504,"165":505,"166":507,"169":518,"170":519,"171":520,"172":523,"173":525,"175":529,"177":534,"180":538,"182":541,"185":544,"186":546,"187":547,"190":551,"191":554,"193":557,"195":560,"196":561,"197":566,"198":569,"199":577,"200":579,"201":581,"203":587,"205":589,"206":591,"207":593,"208":594,"210":598,"214":609,"215":610,"216":612,"218":618,"219":622,"221":629,"222":631,"223":632,"224":633,"227":637,"228":638,"229":640,"230":642,"231":644,"232":645,"233":647,"234":648,"236":650,"237":651,"238":652,"239":653,"240":656,"242":658,"243":663,"244":665,"245":667,"246":668,"247":670,"248":673,"249":674,"250":675,"252":686,"253":687,"254":689,"255":696,"257":699,"258":700,"259":702,"260":703,"261":704,"262":705,"263":706,"268":1045,"269":1047,"272":1061,"273":1063,"275":1068,"276":1069,"277":1078,"283":1103,"284":1108,"285":1113,"286":1114,"288":1123,"289":1127,"292":1132,"293":1133,"298":1140,"300":1144,"303":1160,"305":1162,"306":1164,"307":1165,"308":1166,"309":1172,"310":1174,"312":1176,"313":1180,"314":1189,"315":1190,"316":1192,"317":1197,"318":1200,"319":1202,"320":1203,"321":1205,"322":1208,"323":1209,"324":1210,"325":1211,"326":1213,"327":1214,"328":1215,"329":1219,"330":1222,"331":1227,"332":1228,"333":1231,"334":1234,"335":1237,"336":1239,"337":1241,"338":1243,"339":1245,"340":1246,"341":1247,"342":1248,"344":1257,"345":1258,"346":1271,"347":1272,"348":1274,"349":1276,"350":1280,"351":1282,"353":1289,"354":1290,"356":1302,"357":1304,"358":1305,"359":1309,"360":1311,"361":1314,"362":1330,"364":1333,"365":1338,"366":1340,"367":1341,"369":1343,"370":1348,"371":1351,"372":1355,"374":1357,"381":1366,"382":1368,"383":1370,"385":1374,"386":1375,"389":1379,"392":1384,"393":1386,"394":1387,"395":1398,"397":1401,"399":1407,"401":1409,"402":1410,"403":1413,"404":1415,"405":1418,"406":1419,"407":1421,"408":1422,"409":1423,"411":1427,"417":1436,"418":1438,"419":1439,"420":1442,"421":1443,"423":1446,"424":1447,"426":1454,"427":1455,"428":1456,"430":1458,"431":1463,"432":1464,"434":1469,"435":1471,"436":1475,"437":1477,"439":1482,"444":1492,"445":1494,"446":1495,"447":1497,"448":1499,"451":1508,"452":1509,"453":1510,"455":1516,"456":1517,"457":1519,"458":1521,"460":1527,"462":1530,"463":1531,"464":1533,"465":1534,"466":1537,"468":1539,"469":1540,"470":1541,"471":1544,"472":1546,"474":1548,"475":1553,"479":1561,"483":1577,"484":1578,"486":1580,"487":1583,"492":1591,"493":1595,"494":1597,"495":1601,"496":1604,"498":1606,"499":1609,"500":1611,"502":1615,"504":1620,"505":1623,"506":1625,"507":1626,"509":1628,"510":1630,"512":1633,"513":1634,"514":1635,"516":1639,"518":1645,"519":1646,"520":1648,"521":1650,"522":1652,"523":1653,"524":1654,"527":1661,"528":1663,"529":1664,"530":1666,"531":1668,"533":1673,"534":1674,"535":1677,"536":1680,"537":1681,"540":1686,"542":1689,"545":1694,"546":1696,"547":1697,"548":1700,"549":1702,"550":1703,"551":1704,"554":1708,"555":1711,"557":1714,"558":1715,"561":1722,"562":1724,"563":1726,"564":1730,"565":1732,"567":2053,"568":2063,"569":2064,"570":2072,"571":2104,"572":2153,"574":2163,"575":2191,"576":2196,"577":2199,"578":2200,"579":2201,"580":2202,"581":2203,"582":2206,"583":2209,"584":2218,"585":2220,"586":2221,"587":2226,"588":2231,"589":2240,"590":2251,"591":2255,"592":2256,"593":2261,"594":2269,"595":2270,"596":2284,"597":2287,"598":2293,"599":2298,"600":2300,"601":2301,"602":2321,"603":2324,"604":2333,"605":2341,"606":2353,"608":2367,"609":2383,"610":2408,"611":2423,"612":2424,"613":2434,"614":2440,"616":2444,"617":2445,"619":2461,"620":2484,"621":2489,"622":2499,"623":2504,"624":2508,"625":2517,"626":2524,"627":2538,"628":2542,"629":2562,"630":2563,"631":2572,"632":2574,"633":2576,"634":2588,"635":2589,"637":2599,"638":2600,"639":2602,"640":2606,"641":2608,"642":2611,"643":2617,"644":2619,"645":2628,"646":2635,"647":2663,"648":2666,"649":2669,"651":2688,"652":2695,"653":2702,"654":2703,"655":2717,"656":2719,"657":2731,"658":2732,"659":2736,"660":2744,"661":2746,"662":2769,"663":2770,"664":2775,"665":2780,"666":2792,"667":2807,"669":2828,"670":2831,"671":2845,"672":2851,"673":2853,"674":2857,"675":2862,"676":2864,"677":2874,"679":2883,"680":2892,"681":2903,"683":2922,"684":2927,"686":2951,"687":2963,"688":2964,"689":2967,"690":2972,"691":2986,"692":3021,"693":3026,"694":3028,"695":3031,"697":3039,"698":3050,"699":3053,"700":3060,"701":3064,"702":3073,"703":3096,"706":3125,"707":3129,"708":3132,"709":3135,"710":3139,"711":3141,"712":3169,"713":3183,"714":3189,"716":3197,"717":3203,"719":3215,"720":3218,"721":3220,"722":3221,"724":3232,"725":3241,"726":3242,"727":3248,"728":3249,"731":3277,"732":3280,"734":3293,"735":3295,"736":3302,"737":3309,"739":3348,"740":3349,"743":3354,"744":3369,"745":3374,"747":3395,"748":3398,"749":3401,"751":3419,"752":3431,"753":3438,"754":3445,"755":3453,"756":3458,"757":3461,"758":3475,"759":3481,"761":3505,"762":3510,"763":3511,"764":3518,"765":3528,"766":3530,"767":3556,"768":3562,"769":3565,"770":3566,"771":3571,"772":3576,"773":3591,"774":3604,"775":3612,"776":3626,"777":3628,"778":3633,"779":3640,"780":3642,"781":3647,"782":3649,"783":3655,"784":3661,"785":3663,"786":3675,"787":3702,"788":3708,"789":3712,"790":3716,"791":3717,"792":3718,"793":3729,"796":3742,"797":3749,"798":3752,"799":3755,"800":3756,"801":3759,"802":3771,"803":3778,"804":3788,"805":3806,"806":3814,"807":3822,"808":3830,"809":3832,"811":3836,"812":3846,"813":3863,"814":3867,"815":3884,"816":3885,"817":3895,"818":3918,"821":3934,"822":3945,"823":3948,"824":3950,"825":3952,"827":3964,"828":3985,"829":4003,"830":4011,"832":4023,"834":4050,"835":4054,"836":4055,"837":4063,"838":4085,"839":4087,"840":4088},{"0":5,"1":19,"2":44,"3":49,"4":66,"5":67,"6":78,"7":89,"8":93,"9":103,"12":186,"13":188,"14":215,"15":237,"16":241,"17":265,"18":290,"19":311,"20":312,"21":315,"22":318,"23":322,"24":328,"25":335,"27":337,"28":342,"29":347,"32":351,"34":357,"35":361,"36":368,"37":371,"38":374,"40":379,"41":380,"42":383,"43":384,"44":385,"45":394,"46":395,"47":398,"48":399,"49":401,"50":403,"51":404,"52":406,"54":416,"55":423,"57":428,"58":433,"60":438,"61":440,"62":441,"63":443,"64":444,"65":445,"66":446,"67":448,"69":452,"70":456,"71":459,"72":460,"74":470,"75":471,"77":475,"82":494,"83":497,"84":498,"85":500,"86":506,"87":508,"88":509,"89":513,"90":514,"92":521,"94":526,"95":527,"96":530,"97":532,"98":533,"99":535,"100":540,"101":545,"103":553,"107":567,"108":568,"109":570,"110":571,"111":572,"112":573,"113":574,"114":576,"115":580,"116":582,"117":583,"120":595,"121":600,"122":601,"123":602,"124":605,"125":608,"126":614,"127":615,"128":616,"130":619,"131":623,"132":625,"133":626,"134":627,"135":630,"136":635,"137":639,"138":643,"139":654,"140":655,"141":659,"142":660,"143":661,"144":662,"145":666,"146":671,"147":672,"148":676,"149":677,"150":678,"152":680,"153":681,"154":682,"155":690,"156":693,"157":694,"158":695,"159":708,"162":712,"163":714,"164":715,"165":716,"166":718,"167":719,"168":722,"169":723,"171":725,"172":726,"175":730,"176":731,"183":745,"184":746,"185":749,"186":750,"187":751,"189":754,"191":760,"192":761,"193":763,"194":765,"195":766,"197":768,"199":771,"200":772,"201":775,"202":777,"203":780,"204":781,"210":792,"212":800,"213":805,"215":808,"216":812,"217":813,"218":814,"221":823,"223":828,"225":833,"226":834,"228":837,"229":849,"230":853,"231":855,"234":858,"235":860,"236":861,"244":875,"245":876,"246":880,"251":892,"253":899,"254":900,"256":907,"257":910,"259":914,"260":915,"261":916,"262":920,"263":927,"265":934,"266":935,"270":942,"271":945,"273":951,"274":952,"275":955,"278":959,"279":960,"280":962,"284":969,"286":976,"289":986,"292":997,"293":1003,"297":1010,"298":1012,"299":1015,"300":1016,"301":1018,"303":1023,"304":1043,"305":1058,"307":1079,"308":1101,"309":1128,"310":1139,"311":1141,"312":1183,"313":1186,"314":1204,"315":1223,"316":1233,"317":1281,"318":1284,"319":1294,"320":1299,"321":1307,"322":1321,"323":1328,"324":1329,"325":1347,"326":1352,"327":1353,"328":1354,"330":1364,"331":1367,"332":1371,"333":1380,"334":1382,"335":1385,"336":1389,"337":1390,"338":1391,"339":1392,"340":1394,"343":1397,"344":1400,"345":1402,"346":1404,"347":1406,"348":1411,"349":1412,"352":1417,"355":1432,"356":1437,"357":1440,"358":1441,"360":1448,"361":1449,"362":1450,"363":1451,"365":1459,"367":1466,"368":1470,"369":1472,"371":1476,"372":1478,"373":1479,"374":1483,"375":1484,"377":1488,"381":1503,"382":1504,"383":1506,"384":1507,"385":1511,"386":1512,"387":1513,"388":1520,"389":1524,"390":1525,"391":1535,"392":1536,"393":1542,"394":1543,"395":1545,"396":1550,"397":1552,"398":1554,"399":1558,"400":1563,"401":1564,"403":1566,"404":1568,"406":1570,"408":1572,"410":1581,"412":1588,"413":1592,"414":1593,"415":1594,"416":1599,"417":1600,"418":1602,"419":1613,"420":1614,"421":1616,"422":1617,"423":1618,"424":1621,"425":1622,"426":1631,"427":1637,"428":1641,"429":1649,"430":1651,"431":1655,"432":1656,"433":1660,"434":1662,"435":1667,"436":1669,"437":1671,"438":1675,"439":1678,"440":1679,"441":1682,"442":1687,"443":1690,"444":1695,"445":1698,"446":1701,"447":1707,"448":1709,"449":1712,"450":1719,"451":1720,"452":1721,"453":1723,"454":1727,"455":1728,"456":1729,"458":1737,"459":1739,"461":1747,"463":1749,"464":1753,"471":1768,"472":1769,"473":1770,"474":1771,"475":1774,"476":1776,"479":1781,"483":1787,"484":1789,"485":1791,"486":1792,"487":1795,"488":1797,"489":1798,"490":1800,"492":1803,"493":1806,"495":1818,"498":1831,"499":1832,"500":1833,"507":1849,"508":1850,"509":1852,"510":1854,"511":1857,"513":1861,"515":1870,"516":1871,"517":1875,"520":1883,"521":1886,"524":1893,"525":1894,"526":1895,"528":1900,"529":1901,"530":1902,"533":1906,"534":1909,"538":1917,"539":1919,"540":1923,"541":1924,"542":1925,"543":1931,"544":1933,"545":1934,"547":1936,"548":1939,"550":1943,"552":1945,"553":1947,"554":1949,"555":1951,"558":1963,"561":1973,"563":1986,"566":1989,"572":2002,"573":2006,"574":2007,"575":2008,"577":2010,"578":2011,"579":2013,"581":2019,"584":2033,"585":2038,"586":2040,"588":2047,"589":2054,"590":2057,"591":2086,"592":2088,"593":2094,"594":2096,"595":2110,"596":2112,"597":2115,"599":2130,"600":2149,"601":2159,"603":2179,"604":2189,"605":2204,"606":2207,"607":2211,"608":2219,"609":2227,"611":2236,"613":2285,"614":2292,"615":2309,"616":2314,"617":2327,"618":2347,"619":2350,"620":2352,"621":2357,"623":2365,"624":2376,"625":2377,"626":2378,"627":2386,"628":2392,"629":2395,"631":2410,"632":2417,"634":2435,"635":2451,"636":2457,"637":2480,"638":2492,"639":2509,"640":2515,"641":2522,"642":2533,"643":2548,"644":2556,"645":2580,"646":2595,"647":2604,"648":2612,"649":2626,"650":2629,"652":2658,"653":2659,"654":2661,"655":2671,"656":2676,"657":2677,"658":2689,"659":2690,"660":2692,"661":2696,"663":2712,"665":2716,"666":2737,"667":2754,"668":2758,"669":2759,"670":2761,"671":2802,"672":2810,"673":2817,"674":2827,"675":2830,"676":2854,"677":2877,"678":2880,"679":2881,"680":2893,"681":2894,"682":2904,"683":2905,"684":2916,"686":2928,"687":2949,"688":2955,"689":2958,"690":2966,"691":2970,"692":2984,"693":2997,"694":3002,"695":3010,"696":3011,"697":3043,"699":3067,"700":3081,"701":3083,"702":3086,"703":3089,"704":3093,"705":3094,"706":3095,"707":3118,"708":3127,"709":3128,"710":3136,"711":3138,"712":3181,"713":3227,"714":3228,"715":3236,"716":3254,"717":3255,"718":3263,"719":3298,"720":3308,"721":3312,"722":3347,"723":3350,"726":3360,"727":3363,"728":3366,"729":3372,"730":3388,"731":3396,"732":3402,"733":3422,"735":3449,"736":3483,"737":3493,"738":3498,"739":3513,"741":3533,"742":3552,"743":3553,"747":3601,"748":3602,"749":3606,"750":3611,"751":3621,"752":3641,"753":3651,"754":3668,"755":3681,"756":3707,"757":3715,"758":3743,"759":3763,"760":3767,"761":3773,"762":3786,"764":3805,"765":3820,"766":3823,"767":3826,"768":3844,"769":3847,"770":3850,"771":3851,"772":3866,"774":3886,"775":3887,"777":3906,"778":3908,"779":3919,"780":3930,"781":3940,"782":3946,"784":3956,"785":3960,"786":3976,"787":3977,"789":3989,"790":3995,"791":4001,"792":4034,"793":4041,"794":4042,"795":4046,"796":4091},{"0":45,"1":333,"2":339,"3":346,"4":356,"5":360,"6":362,"7":363,"10":439,"11":458,"12":461,"13":484,"14":488,"15":501,"16":503,"17":510,"18":511,"19":516,"21":548,"22":555,"23":563,"24":564,"25":575,"26":584,"27":590,"28":597,"29":599,"30":607,"31":611,"32":620,"33":621,"34":624,"35":641,"36":646,"37":664,"38":669,"39":683,"40":688,"41":691,"42":692,"43":697,"44":701,"45":707,"46":710,"47":713,"48":717,"49":721,"51":732,"53":734,"56":747,"58":757,"59":758,"60":762,"61":773,"62":774,"63":779,"64":782,"66":786,"68":797,"70":801,"71":802,"72":803,"73":807,"74":809,"75":811,"78":817,"79":818,"80":826,"81":827,"82":829,"84":832,"85":835,"86":838,"88":841,"89":843,"90":844,"91":845,"92":846,"93":850,"94":852,"95":859,"96":862,"97":866,"98":867,"99":872,"101":877,"104":881,"106":884,"107":889,"109":895,"114":908,"116":912,"117":917,"118":919,"119":921,"120":923,"121":925,"122":926,"123":928,"124":930,"125":932,"126":933,"127":937,"129":943,"130":944,"132":949,"133":953,"134":961,"136":967,"137":968,"138":972,"140":974,"143":979,"144":980,"145":981,"146":982,"150":989,"151":990,"152":991,"153":992,"154":996,"155":999,"156":1000,"157":1001,"159":1008,"160":1011,"161":1017,"162":1019,"163":1020,"164":1021,"165":1088,"166":1090,"167":1110,"168":1181,"169":1267,"170":1377,"171":1388,"172":1393,"173":1403,"174":1420,"175":1425,"176":1435,"177":1460,"178":1461,"179":1462,"180":1468,"181":1473,"182":1496,"183":1498,"184":1500,"185":1514,"186":1518,"187":1522,"188":1523,"189":1528,"190":1549,"191":1551,"192":1556,"193":1562,"194":1584,"195":1586,"196":1596,"197":1598,"198":1608,"199":1638,"200":1640,"201":1642,"202":1657,"203":1665,"204":1672,"205":1676,"206":1692,"207":1699,"208":1710,"209":1716,"210":1725,"213":1736,"214":1738,"216":1741,"218":1746,"221":1754,"223":1761,"224":1762,"225":1766,"226":1767,"228":1775,"230":1779,"232":1784,"233":1788,"234":1794,"235":1796,"236":1802,"238":1807,"241":1810,"242":1811,"245":1815,"246":1816,"248":1820,"249":1821,"250":1822,"252":1824,"253":1825,"254":1826,"255":1828,"257":1834,"258":1837,"260":1844,"261":1845,"262":1846,"263":1847,"264":1851,"265":1853,"267":1856,"268":1858,"269":1860,"271":1865,"272":1867,"274":1869,"275":1872,"276":1877,"277":1879,"278":1880,"279":1881,"281":1892,"285":1912,"286":1914,"287":1915,"288":1918,"294":1929,"295":1930,"297":1937,"298":1946,"299":1948,"301":1952,"302":1954,"303":1955,"304":1957,"307":1966,"308":1969,"309":1974,"310":1976,"311":1977,"312":1978,"315":1982,"318":1991,"320":1994,"321":1996,"322":1997,"324":1999,"325":2003,"326":2004,"327":2005,"328":2012,"330":2016,"332":2021,"333":2022,"334":2026,"335":2028,"336":2029,"338":2032,"339":2034,"340":2035,"341":2036,"342":2041,"343":2043,"344":2044,"345":2046,"347":2079,"348":2111,"350":2122,"351":2125,"352":2138,"353":2139,"354":2144,"355":2151,"356":2193,"357":2215,"358":2230,"359":2237,"360":2238,"361":2244,"363":2252,"364":2263,"365":2274,"366":2278,"367":2299,"368":2322,"369":2348,"370":2362,"371":2364,"372":2374,"373":2399,"374":2425,"375":2447,"376":2448,"377":2450,"378":2452,"379":2455,"380":2467,"381":2481,"382":2485,"383":2486,"384":2502,"385":2503,"387":2512,"388":2518,"389":2519,"390":2529,"391":2540,"392":2554,"393":2558,"394":2593,"396":2597,"397":2607,"398":2613,"399":2616,"400":2636,"401":2642,"402":2643,"403":2645,"404":2650,"405":2651,"406":2656,"407":2657,"408":2675,"409":2682,"410":2701,"411":2706,"412":2708,"413":2710,"414":2729,"415":2734,"416":2735,"417":2741,"419":2785,"420":2795,"421":2797,"423":2850,"424":2852,"426":2899,"427":2902,"428":2935,"429":2941,"430":2961,"431":2968,"433":3022,"434":3032,"435":3049,"436":3062,"437":3069,"438":3078,"439":3082,"440":3102,"442":3117,"443":3124,"445":3146,"446":3148,"447":3154,"448":3166,"449":3173,"450":3180,"451":3186,"452":3191,"453":3201,"454":3205,"455":3226,"456":3264,"457":3274,"458":3291,"459":3296,"460":3310,"461":3324,"462":3328,"463":3345,"464":3346,"465":3356,"466":3367,"467":3377,"468":3399,"469":3429,"470":3433,"471":3437,"472":3446,"474":3464,"475":3482,"476":3484,"478":3496,"479":3514,"480":3515,"481":3519,"483":3544,"484":3560,"485":3585,"486":3595,"487":3613,"488":3618,"490":3656,"493":3698,"494":3703,"495":3723,"496":3727,"497":3748,"498":3768,"499":3769,"500":3784,"502":3793,"503":3809,"504":3818,"505":3853,"506":3871,"507":3911,"508":3914,"509":3925,"510":3928,"511":3955,"512":3994,"513":4020,"514":4043,"515":4061,"516":4066,"517":4082,"518":4090,"519":4094},{"0":299,"1":352,"2":373,"3":386,"4":410,"5":463,"6":485,"7":684,"8":720,"9":741,"10":743,"11":755,"12":764,"13":769,"14":778,"15":788,"16":795,"17":799,"18":810,"19":821,"20":824,"21":842,"22":848,"23":854,"24":871,"25":882,"26":891,"27":897,"28":913,"29":918,"30":922,"31":931,"32":936,"33":946,"34":947,"35":954,"37":971,"39":995,"40":1006,"41":1014,"42":1369,"43":1372,"44":1532,"45":1603,"46":1610,"47":1624,"48":1629,"49":1644,"50":1743,"51":1750,"52":1773,"53":1790,"54":1793,"55":1799,"56":1804,"57":1835,"58":1848,"59":1863,"60":1873,"61":1884,"62":1885,"63":1887,"64":1896,"65":1910,"66":1928,"67":1938,"68":1940,"69":1956,"71":1962,"72":1970,"73":1971,"74":1983,"75":2015,"76":2020,"77":2023,"78":2024,"79":2025,"80":2039,"81":2045,"83":2074,"85":2090,"86":2092,"87":2117,"88":2135,"89":2171,"90":2198,"91":2234,"92":2257,"93":2262,"94":2271,"95":2280,"96":2283,"97":2290,"98":2302,"99":2311,"100":2313,"101":2326,"103":2339,"104":2354,"105":2371,"106":2379,"107":2400,"109":2421,"111":2429,"112":2441,"113":2449,"115":2460,"116":2465,"117":2468,"118":2523,"119":2528,"120":2543,"121":2552,"122":2561,"123":2564,"124":2566,"125":2585,"127":2633,"128":2637,"129":2670,"130":2683,"132":2691,"133":2728,"136":2790,"137":2791,"138":2804,"139":2806,"140":2834,"142":2868,"143":2884,"144":2891,"145":2895,"146":2896,"148":2912,"149":2930,"151":3000,"153":3005,"154":3017,"155":3041,"157":3058,"159":3068,"160":3071,"161":3103,"162":3105,"163":3109,"164":3122,"165":3158,"166":3159,"167":3176,"168":3178,"169":3187,"170":3208,"171":3223,"172":3229,"173":3239,"174":3259,"175":3260,"176":3286,"177":3317,"178":3329,"179":3352,"180":3371,"181":3389,"182":3390,"183":3408,"184":3418,"185":3443,"186":3448,"187":3477,"188":3490,"190":3501,"191":3520,"193":3539,"194":3540,"195":3543,"196":3551,"197":3554,"198":3579,"199":3581,"200":3589,"201":3592,"202":3622,"203":3644,"204":3671,"205":3677,"206":3720,"207":3728,"208":3733,"209":3734,"210":3775,"212":3795,"213":3812,"214":3813,"215":3845,"216":3854,"217":3859,"218":3876,"219":3888,"220":3896,"222":3916,"223":3965,"225":3975,"226":4010,"227":4014,"228":4015,"229":4036,"230":4052,"231":4058,"232":4067},{"0":382,"1":578,"2":753,"3":759,"4":776,"5":794,"6":804,"7":840,"8":885,"9":898,"10":902,"11":924,"12":998,"13":1009,"14":1013,"15":1481,"16":1559,"17":1567,"18":1607,"19":1647,"20":1685,"21":1731,"22":1759,"23":1817,"24":1891,"25":1905,"26":1908,"27":1942,"28":1965,"29":1972,"30":1975,"31":2037,"32":2075,"33":2087,"35":2108,"36":2114,"37":2141,"38":2143,"41":2156,"43":2190,"44":2246,"45":2253,"46":2264,"47":2282,"48":2286,"49":2318,"50":2340,"51":2393,"52":2396,"54":2405,"55":2406,"56":2418,"57":2428,"59":2432,"60":2433,"61":2446,"62":2470,"63":2478,"64":2483,"65":2488,"66":2495,"67":2496,"68":2511,"69":2516,"70":2532,"72":2550,"73":2553,"74":2578,"75":2586,"76":2587,"78":2654,"79":2674,"80":2718,"81":2722,"82":2730,"85":2749,"86":2765,"87":2801,"89":2820,"90":2859,"91":2876,"92":2898,"95":2933,"96":2974,"98":3012,"99":3016,"100":3023,"101":3046,"103":3087,"104":3088,"105":3119,"107":3163,"108":3175,"109":3177,"110":3184,"111":3199,"112":3237,"113":3265,"114":3267,"115":3269,"117":3327,"118":3334,"119":3344,"121":3379,"122":3410,"123":3427,"124":3447,"125":3454,"127":3500,"128":3548,"129":3580,"130":3586,"131":3587,"132":3590,"133":3599,"134":3617,"135":3630,"136":3643,"138":3653,"139":3695,"140":3711,"141":3730,"142":3737,"143":3747,"144":3750,"145":3761,"149":3798,"150":3801,"151":3816,"152":3819,"155":3838,"156":3840,"158":3915,"159":3958,"160":3967,"161":3997,"162":4025,"163":4038,"164":4047,"165":4064,"166":4079,"167":4080},{"0":796,"1":822,"2":847,"3":851,"4":904,"5":1744,"6":1757,"7":1866,"8":1874,"9":1876,"10":1958,"11":2066,"15":2164,"16":2180,"17":2183,"18":2217,"19":2224,"20":2247,"21":2248,"22":2268,"23":2281,"25":2317,"26":2328,"28":2332,"29":2335,"30":2337,"31":2345,"32":2397,"34":2420,"35":2426,"36":2439,"38":2473,"39":2534,"40":2573,"42":2605,"43":2623,"44":2632,"45":2638,"46":2672,"47":2748,"48":2750,"49":2751,"50":2752,"51":2772,"52":2781,"54":2813,"55":2824,"58":2867,"60":2887,"61":2911,"62":2913,"63":2937,"64":2987,"66":2992,"67":3003,"69":3035,"70":3040,"71":3055,"72":3063,"73":3070,"74":3075,"76":3190,"78":3202,"79":3204,"80":3207,"82":3219,"83":3243,"84":3250,"85":3271,"86":3294,"88":3332,"89":3338,"90":3362,"91":3380,"92":3439,"93":3441,"94":3455,"96":3508,"98":3534,"99":3557,"100":3561,"101":3563,"102":3594,"103":3597,"104":3607,"106":3636,"107":3658,"109":3672,"112":3685,"113":3699,"114":3710,"115":3722,"116":3751,"117":3766,"119":3789,"120":3858,"121":3860,"122":3864,"123":3865,"124":3891,"125":3931,"126":3947,"127":3949,"128":3968,"130":3981,"132":3998,"134":4019,"135":4033,"136":4035},{"0":2116,"2":2205,"4":2233,"5":2239,"6":2273,"7":2289,"8":2296,"9":2312,"10":2319,"11":2342,"14":2464,"15":2466,"16":2469,"18":2609,"19":2620,"20":2621,"21":2723,"23":2740,"24":2766,"25":2767,"26":2773,"28":2846,"29":2872,"31":2890,"32":2909,"34":2956,"36":2975,"37":2976,"39":3025,"42":3090,"43":3092,"44":3098,"45":3112,"46":3113,"47":3143,"48":3152,"49":3157,"50":3160,"51":3161,"52":3171,"53":3179,"54":3188,"55":3192,"56":3195,"58":3247,"60":3287,"61":3290,"62":3316,"63":3339,"64":3340,"65":3393,"68":3521,"69":3523,"71":3559,"72":3593,"73":3627,"76":3678,"78":3731,"79":3760,"80":3762,"81":3781,"83":3827,"84":3893,"87":3920,"89":3961,"91":4009,"92":4024,"93":4027,"94":4037,"95":4039,"96":4057,"97":4065,"98":4076,"99":4092},{"0":2050,"2":2069,"3":2071,"4":2093,"5":2095,"6":2127,"7":2129,"8":2140,"9":2167,"10":2194,"12":2295,"13":2368,"19":2590,"22":2814,"23":2837,"26":2920,"27":2991,"28":3015,"29":3033,"30":3066,"31":3101,"32":3126,"33":3140,"34":3225,"36":3289,"37":3305,"39":3376,"40":3428,"41":3452,"42":3468,"43":3470,"44":3522,"45":3558,"46":3614,"47":3660,"51":3841,"53":3879,"54":3897,"55":3902,"56":3971,"57":4032,"58":4053,"59":4062,"60":4070,"61":4074},{"0":2089,"1":2100,"2":2109,"4":2315,"5":2382,"6":2394,"9":2551,"10":2662,"12":2684,"13":2726,"14":2764,"16":2836,"18":2900,"26":3137,"28":3244,"29":3278,"30":3292,"31":3319,"32":3330,"34":3417,"35":3421,"39":3529,"44":3765,"46":3828,"47":3856,"48":4000,"50":4013,"51":4072},{"1":2185,"2":2228,"3":2359,"5":2575,"6":2596,"7":2603,"9":2863,"10":2954,"15":3198,"19":3323,"20":3335,"21":3400,"22":3425,"24":3499,"25":3502,"27":3537,"28":3616,"29":3669,"31":3704,"33":3785,"34":3800,"39":3996},{"0":2065,"3":2105,"8":2344,"9":2385,"10":2407,"11":2436,"14":2531,"17":2584,"22":2793,"23":2799,"26":2977,"29":3261,"33":3412,"34":3531,"35":3584,"37":3673,"38":3753,"40":3904,"43":3963,"44":4026},{"0":2083,"2":2142,"4":2494,"5":2559,"6":2583,"7":2618,"8":2631,"10":2796,"11":2849,"18":3299,"19":3300,"21":3450,"22":3486,"24":3572,"26":3648,"33":4083},{"0":2222,"2":2372,"12":3014,"15":3134,"19":3480,"21":3684,"22":3719,"27":3933},{"0":2051,"1":2080,"4":2259,"5":2279,"6":2306,"7":2369,"13":3008,"14":3027,"25":3796,"27":3912,"28":3913},{"3":2188,"7":2668,"8":2978,"9":3085,"13":3488,"18":3638,"20":3694,"23":3839},{"15":3074,"16":3172,"22":3843,"23":3926},{"0":2076,"2":2146,"5":2530,"9":3174},{"8":2965,"10":3240,"11":3326,"12":3381,"13":3432},{"1":2479,"4":2865,"9":3373,"13":3665},{"3":2250,"7":3145,"18":3951},{"2":2361,"5":2601,"10":2943,"18":3903},[],[],[],[],[],[],[],[],[],[],[],[],[],[]]