[{"0":0,"4":4,"6":6,"8":8,"9":9,"14":14,"16":17,"17":20,"18":22,"19":23,"21":25,"22":26,"32":37,"37":43,"38":44,"40":47,"41":48,"43":51,"45":53,"46":54,"49":58,"50":59,"52":61,"55":64,"61":71,"62":72,"63":73,"64":76,"67":79,"68":80,"69":81,"73":85,"74":87,"79":94,"85":101,"88":104,"91":107,"93":109,"97":114,"100":117,"104":121,"105":122,"110":128,"111":129,"112":130,"113":133,"114":134,"116":137,"117":138,"118":139,"119":140,"120":141,"126":148,"127":149,"131":154,"133":156,"135":158,"140":163,"143":166,"145":168,"149":173,"150":174,"151":175,"154":178,"155":179,"163":190,"164":191,"165":193,"167":198,"169":200,"172":203,"175":207,"178":210,"180":212,"182":214,"185":217,"187":219,"189":222,"190":223,"191":224,"192":225,"193":226,"195":228,"197":230,"198":231,"199":232,"201":234,"203":238,"208":243,"211":247,"213":249,"214":250,"215":251,"217":253,"219":256,"220":257,"221":258,"227":264,"229":266,"231":268,"232":269,"233":270,"234":272,"235":273,"241":279,"244":282,"245":283,"248":286,"255":294,"258":297,"259":298,"260":300,"262":302,"263":303,"265":305,"267":307,"274":315,"278":319,"279":321,"280":322,"285":328,"290":336,"291":337,"295":341,"299":345,"302":348,"305":352,"308":356,"309":357,"311":359,"312":361,"313":362,"315":364,"316":365,"317":366,"324":374,"327":378,"329":381,"330":382,"331":383,"332":385,"333":386,"334":387,"335":388,"337":390,"341":394,"342":397,"348":404,"349":405,"352":408,"353":409,"354":410,"355":411,"358":414,"359":415,"363":419,"365":422,"366":423,"369":426,"370":427,"371":428,"372":429,"375":432,"376":433,"378":435,"382":441,"383":443,"384":444,"386":446,"387":447,"389":450,"391":453,"393":455,"394":456,"395":458,"396":459,"398":461,"399":462,"403":466,"410":478,"415":484,"416":485,"422":491,"423":492,"428":500,"430":504,"431":505,"432":506,"434":508,"436":510,"437":511,"442":518,"443":519,"444":521,"447":524,"452":530,"453":531,"459":538,"465":544,"467":546,"470":550,"472":552,"473":553,"475":556,"479":560,"480":561,"482":563,"485":566,"487":568,"493":578,"500":588,"504":593,"505":594,"508":597,"515":607,"520":613,"521":614,"522":615,"527":622,"533":629,"534":630,"535":631,"537":633,"538":634,"542":638,"543":639,"545":643,"547":645,"549":647,"550":648,"551":649,"553":652,"554":653,"556":655,"557":657,"559":1024,"562":1028,"564":1030,"566":1032,"567":1033,"569":1035,"572":1039,"575":1042,"576":1044,"577":1045,"578":1047,"579":1050,"588":1061,"589":1062,"590":1063,"593":1067,"595":1069,"597":1073,"598":1074,"599":1075,"600":1076,"602":1078,"603":1079,"606":1082,"608":1084,"609":1085,"612":1088,"614":1090,"616":1092,"618":1094,"619":1096,"620":1097,"625":1103,"626":1105,"628":1107,"629":1109,"633":1114,"638":1119,"641":1122,"642":1123,"644":1125,"646":1127,"648":1129,"649":1131,"650":1132,"651":1133,"652":1134,"654":1136,"661":1144,"662":1146,"665":1149,"666":1150,"667":1151,"670":1156,"672":1159,"673":1160,"676":1166,"679":1169,"680":1170,"687":1177,"690":1181,"691":1182,"693":1185,"695":1187,"697":1189,"698":1190,"699":1191,"700":1192,"702":1196,"705":1201,"706":1205,"708":1207,"715":1215,"717":1217,"720":1221,"721":1222,"722":1223,"723":1224,"733":1236,"739":1243,"740":1244,"744":1248,"746":1251,"748":1253,"751":1257,"754":1261,"759":1271,"762":1276,"767":1282,"768":1283,"771":1286,"772":1287,"773":1288,"774":1290,"776":1292,"777":1293,"778":1294,"781":1297,"783":1299,"787":1303,"789":1306,"791":1309,"793":1312,"794":1313,"802":1323,"803":1324,"804":1325,"805":1326,"808":1329,"809":1330,"810":1333,"815":1338,"816":1340,"818":1343,"824":1350,"826":1352,"827":1353,"831":1359,"832":1360,"835":1364,"838":1367,"840":1370,"842":1372,"843":1374,"847":1378,"849":1380,"850":1381,"852":1383,"853":1385,"854":1386,"858":1392,"859":1393,"860":1394,"861":1396,"862":1397,"864":1400,"865":1401,"866":1402,"867":1403,"869":1405,"877":1417,"883":1424,"884":1425,"887":1430,"889":1432,"892":1435,"897":1441,"901":1446,"903":1448,"907":1452,"908":1453,"910":1455,"912":1458,"915":1461,"920":1467,"921":1468,"922":1469,"923":1470,"927":1475,"930":1478,"931":1479,"933":1481,"934":1482,"937":1485,"938":1486,"939":1487,"940":1488,"942":1491,"943":1492,"944":1493,"945":1494,"949":1499,"950":1500,"952":1502,"954":1504,"956":1506,"962":1516,"963":1517,"964":1518,"967":1521,"970":1526,"975":1534,"976":1537,"977":1538,"978":1539,"980":1543,"989":1554,"990":1558,"991":1559,"993":1561,"1005":1576,"1006":1577,"1009":1581,"1012":1584,"1013":1585,"1015":1587,"1016":1588,"1017":1589,"1018":1591,"1021":1595,"1022":1596,"1033":1610,"1034":1611,"1035":1612,"1037":1614,"1038":1615,"1040":1617,"1048":1627,"1049":1629,"1053":1635,"1054":1637,"1056":1640,"1058":1642,"1062":1646,"1067":1651,"1073":1659,"1075":1661,"1077":1663,"1080":1666,"1088":1676,"1089":1677,"1091":1679,"1093":1682,"1095":2073,"1097":2117,"1101":2156,"1107":2203,"1115":2256,"1120":2279,"1122":2286,"1124":2290,"1125":2291,"1128":2319,"1129":2332,"1131":2340,"1135":2359,"1136":2360,"1137":2362,"1144":2425,"1145":2427,"1149":2457,"1150":2469,"1151":2470,"1153":2476,"1154":2483,"1155":2487,"1164":2519,"1165":2520,"1166":2521,"1167":2531,"1169":2536,"1172":2562,"1174":2566,"1175":2568,"1178":2583,"1183":2595,"1192":2658,"1197":2701,"1199":2743,"1200":2752,"1201":2756,"1202":2757,"1203":2781,"1205":2794,"1207":2801,"1213":2835,"1215":2897,"1216":2898,"1220":2937,"1223":2949,"1226":2961,"1227":2968,"1234":3021,"1235":3024,"1237":3067,"1241":3119,"1245":3159,"1247":3163,"1248":3165,"1255":3232,"1260":3259,"1263":3268,"1269":3300,"1270":3304,"1272":3308,"1275":3347,"1276":3353,"1283":3409,"1285":3418,"1286":3422,"1288":3425,"1290":3449,"1291":3459,"1293":3475,"1304":3571,"1306":3580,"1307":3593,"1309":3607,"1310":3613,"1311":3616,"1313":3629,"1315":3638,"1317":3657,"1319":3672,"1327":3724,"1328":3725,"1329":3726,"1331":3735,"1333":3749,"1336":3797,"1337":3806,"1342":3828,"1344":3838,"1348":3858,"1353":3889,"1354":3895,"1355":3906,"1358":3942,"1360":3964,"1363":3982,"1371":4024,"1379":4050,"1380":4054,"1382":4065,"1386":4073,"1390":4092},{"0":16,"4":40,"5":45,"7":65,"9":75,"11":90,"14":131,"16":143,"18":180,"20":189,"22":195,"23":196,"26":221,"32":311,"33":320,"34":327,"39":375,"40":379,"42":395,"44":403,"49":452,"54":479,"55":494,"56":498,"57":499,"63":527,"64":535,"67":574,"77":617,"80":640,"86":661,"89":664,"90":665,"91":666,"92":667,"93":668,"94":669,"96":672,"99":676,"101":680,"102":682,"104":684,"107":688,"108":689,"112":694,"114":696,"121":705,"123":708,"125":710,"129":716,"133":720,"137":724,"138":727,"142":731,"143":733,"146":739,"150":745,"153":749,"159":755,"163":760,"164":761,"165":762,"167":764,"170":768,"172":772,"176":777,"179":781,"181":783,"182":784,"183":785,"185":787,"186":788,"187":789,"188":790,"189":791,"193":798,"206":822,"208":824,"209":825,"212":828,"214":830,"216":832,"219":835,"220":836,"221":837,"222":838,"223":839,"226":842,"228":846,"229":848,"230":849,"231":850,"234":854,"237":858,"241":862,"253":882,"258":887,"262":891,"267":896,"273":905,"275":908,"276":909,"282":918,"287":926,"288":927,"290":930,"294":936,"297":944,"299":947,"301":949,"302":950,"305":956,"306":957,"307":958,"309":960,"310":962,"311":963,"312":965,"316":970,"319":973,"322":980,"324":986,"326":988,"327":989,"328":992,"331":995,"334":1001,"338":1005,"341":1009,"352":1021,"353":1023,"354":1026,"356":1043,"357":1046,"358":1048,"360":1051,"361":1052,"363":1070,"371":1152,"374":1162,"375":1163,"380":1194,"381":1198,"382":1200,"390":1249,"391":1255,"394":1263,"399":1277,"402":1308,"404":1315,"406":1331,"408":1339,"415":1387,"417":1395,"419":1411,"421":1415,"422":1416,"424":1428,"425":1429,"433":1510,"438":1531,"446":1556,"448":1563,"451":1590,"454":1606,"455":1607,"457":1624,"459":1631,"462":1639,"465":1671,"466":1681,"467":1683,"470":1686,"472":1688,"477":1693,"482":1698,"496":1715,"497":1716,"498":1717,"500":1719,"507":1727,"512":1733,"514":1736,"518":1741,"523":1749,"525":1752,"530":1760,"531":1762,"533":1764,"534":1765,"540":1773,"541":1774,"542":1775,"544":1777,"546":1780,"550":1785,"552":1787,"556":1792,"557":1793,"560":1797,"561":1798,"566":1804,"570":1811,"571":1812,"574":1816,"575":1817,"577":1821,"581":1827,"583":1830,"586":1836,"587":1837,"589":1840,"590":1841,"594":1845,"599":1852,"601":1854,"603":1859,"606":1862,"607":1863,"610":1867,"612":1869,"615":1873,"617":1877,"619":1879,"625":1886,"629":1892,"630":1893,"632":1895,"637":1901,"644":1911,"655":1923,"657":1925,"675":1948,"678":1956,"686":1967,"696":1980,"697":1981,"698":1984,"700":1986,"702":1989,"704":1992,"710":1999,"714":2004,"715":2006,"716":2007,"717":2008,"718":2009,"720":2012,"724":2016,"725":2020,"727":2022,"730":2026,"734":2031,"739":2039,"743":2046,"745":2048,"747":2051,"756":2114,"760":2127,"768":2177,"771":2186,"772":2195,"775":2219,"796":2325,"797":2327,"810":2413,"811":2416,"821":2479,"822":2480,"834":2578,"841":2641,"843":2645,"844":2655,"851":2679,"858":2722,"869":2800,"871":2819,"875":2839,"881":2859,"885":2881,"888":2919,"889":2921,"900":2962,"903":2983,"907":3049,"910":3073,"913":3083,"914":3087,"915":3088,"917":3092,"918":3095,"924":3138,"925":3155,"937":3244,"951":3324,"952":3329,"954":3337,"955":3357,"957":3372,"959":3380,"962":3389,"967":3432,"972":3447,"974":3462,"976":3468,"977":3470,"981":3489,"996":3601,"997":3618,"999":3625,"1000":3626,"1005":3670,"1006":3678,"1010":3697,"1011":3709,"1026":3796,"1031":3816,"1033":3822,"1034":3829,"1035":3830,"1042":3881,"1044":3911,"1052":4018,"1055":4022,"1060":4089},{"0":18,"6":291,"8":354,"17":679,"23":714,"27":735,"28":736,"35":773,"36":778,"42":805,"44":808,"50":843,"51":844,"53":853,"57":869,"59":879,"70":923,"81":953,"82":955,"83":964,"86":978,"87":981,"92":991,"96":1006,"98":1022,"109":1703,"110":1708,"115":1743,"116":1745,"120":1761,"126":1795,"129":1813,"130":1820,"131":1823,"135":1834,"144":1871,"147":1889,"150":1906,"170":1988,"171":1990,"172":1997,"176":2017,"188":2054,"189":2060,"193":2081,"208":2170,"211":2185,"213":2192,"215":2196,"243":2459,"245":2465,"247":2478,"256":2525,"257":2527,"263":2606,"271":2672,"272":2683,"273":2687,"276":2705,"289":2805,"292":2830,"293":2831,"294":2844,"299":2887,"301":2905,"304":2913,"321":3026,"324":3042,"326":3064,"327":3065,"332":3121,"336":3141,"345":3216,"347":3246,"358":3339,"359":3358,"361":3364,"368":3414,"369":3417,"376":3474,"380":3493,"383":3498,"394":3589,"399":3651,"400":3653,"404":3666,"421":3789,"426":3837,"429":3851,"432":3872,"436":3901,"445":3980,"449":4020,"452":4044,"458":4078,"460":4082},{"5":740,"9":961,"17":1819,"23":2057,"25":2086,"26":2089,"33":2175,"34":2182,"36":2204,"37":2226,"38":2258,"47":2299,"52":2367,"67":2546,"69":2556,"73":2629,"75":2647,"80":2694,"85":2763,"91":2863,"94":2886,"99":2917,"106":2990,"112":3055,"128":3222,"129":3229,"143":3413,"151":3548,"156":3604,"160":3627,"164":3640,"178":3755,"182":3809,"183":3810,"193":3916,"203":3969},{"7":2147,"23":2354,"26":2390,"28":2409,"54":2823,"56":2832,"61":2847,"64":2868,"65":2874,"68":2930,"70":2980,"75":3147,"82":3207,"84":3242,"91":3375,"93":3390,"95":3437,"96":3441,"97":3452,"100":3491,"106":3578,"110":3632,"111":3660,"112":3668,"114":3690,"118":3781,"120":3856,"122":3865,"124":3882,"130":3971,"132":4006,"139":4086},{"2":2066,"3":2107,"5":2122,"6":2149,"8":2200,"9":2248,"13":2398,"19":2560,"21":2611,"32":2894,"40":2977,"42":3035,"52":3208,"59":3319,"60":3320,"64":3404,"67":3443,"69":3453,"70":3457,"75":3588,"82":3719,"84":3761,"87":3803,"93":3961,"94":3989,"95":4043,"96":4049,"97":4058},{"0":2093,"4":2222,"6":2246,"8":2317,"21":2769,"23":2814,"24":2841,"35":3111,"37":3152,"38":3177,"39":3197,"41":3250,"44":3289,"48":3435,"50":3484,"52":3533,"55":3590,"56":3596,"60":3676,"62":3715,"66":3788,"68":3943,"71":4004},{"0":2067,"1":2072,"2":2098,"3":2126,"7":2337,"8":2341,"21":2733,"22":2764,"23":2802,"24":2806,"25":2818,"26":2833,"28":2978,"29":2984,"30":2989,"33":3056,"35":3063,"41":3190,"42":3194,"44":3251,"46":3310,"49":3381,"54":3557,"58":3658,"59":3792,"60":3814,"62":3857,"63":3910,"64":3922,"65":3950,"66":3956},{"0":2061,"7":2289,"8":2295,"9":2297,"10":2335,"12":2346,"15":2599,"17":2608,"21":2992,"24":3149,"25":3167,"26":3231,"28":3270,"30":3318,"32":3351,"39":3757,"43":3900,"44":3993,"46":4030,"47":4039,"48":4047},{"1":2080,"7":2375,"8":2400,"9":2446,"13":2567,"16":2698,"19":2751,"20":2780,"21":2797,"23":2862,"24":2867,"25":2893,"26":2918,"30":3068,"32":3143,"33":3151,"34":3195,"35":3271,"36":3340,"37":3373,"38":3374,"39":3402,"44":3529},{"2":2292,"4":2365,"5":2379,"8":2417,"9":2423,"14":2554,"20":2697,"23":2744,"26":2884,"28":2976,"29":2998,"30":3032,"32":3129,"33":3136,"38":3492,"42":3739,"47":3861,"48":3866,"50":3926,"52":3968,"53":3973,"55":3986,"56":4028},{"1":2077,"2":2078,"3":2119,"4":2333,"7":2471,"9":2529,"12":2609,"15":2761,"16":2809,"19":2920,"20":2936,"21":2975,"22":2991,"24":3116,"25":3260,"28":3378,"30":3478,"31":3532,"35":3713,"39":3894,"40":3945,"41":3965,"42":3970},{"0":2145,"2":2234,"3":2251,"8":2430,"10":2508,"12":2628,"16":2795,"17":2869,"21":3098,"22":3126,"26":3225,"28":3486,"29":3509,"31":3782,"33":3825,"39":4040,"40":4052},{"0":2101,"3":2329,"4":2420,"5":2543,"6":2576,"9":2602,"10":2643,"13":2749,"15":2782,"16":2799,"18":2892,"21":3074,"22":3181,"25":3255,"26":3276,"30":3467,"32":3717,"36":3874},{"0":2275,"2":2316,"3":2320,"4":2533,"5":2539,"8":2708,"9":2728,"10":2755,"12":2912,"13":3003,"18":3144,"19":3211,"21":3399,"22":3499,"24":3536,"25":3555,"26":3650,"35":3958,"37":4038},{"1":2075,"3":2140,"6":2211,"7":2231,"9":2399,"10":2401,"12":2502,"13":2507,"15":2824,"16":3066,"17":3079,"19":3175,"21":3356,"23":3412,"25":3442,"27":3504,"28":3508,"33":3852,"36":4087},{"0":2112,"1":2139,"3":2205,"4":2207,"7":2549,"8":2618,"9":2619,"10":2622,"11":2662,"14":2837,"16":2911,"21":3213,"25":3338,"27":3384,"28":3410,"29":3649,"33":3748,"34":3824},{"2":2328,"7":2482,"8":2592,"9":2603,"10":2667,"16":3033,"20":3184,"22":3315,"23":3405,"24":3513,"25":3566,"27":3587,"28":3669,"29":3729,"31":4077},{"3":2252,"5":2381,"8":2437,"9":2726,"11":2946,"15":3204,"16":3354,"18":3562,"25":3887},{"0":2074,"1":2216,"9":3020,"11":3034,"13":3061,"15":3122,"17":3461,"19":3617,"22":3727,"23":3744,"25":3936,"26":4005},{"1":2740,"2":2770,"3":2875,"6":3298,"7":3346,"8":3420,"12":3685,"14":3877},{"1":2210,"3":2361,"4":2426,"5":2651,"15":3608,"16":3662,"18":3897,"19":4008,"20":4013},{"3":2363,"5":2808,"6":2853,"8":3212,"10":3336,"12":3426,"14":3957},{"0":2162,"1":2356,"2":2640,"5":3031,"6":3148,"8":3202,"10":3553,"11":3841},{"2":2972,"5":3350,"6":3458,"7":3742,"8":3826},{"0":2124,"3":2902,"4":3712},[],[],[],[],[]]