[{"0":0,"1":1,"5":5,"6":7,"8":9,"12":13,"13":14,"15":16,"17":18,"19":20,"20":21,"28":30,"30":32,"31":33,"32":34,"34":37,"37":41,"41":45,"42":46,"49":54,"58":65,"63":71,"67":75,"77":87,"82":92,"84":95,"89":100,"90":101,"91":102,"100":113,"104":117,"107":120,"108":121,"111":124,"123":143,"128":152,"129":153,"131":156,"140":168,"142":170,"146":174,"148":176,"150":178,"154":182,"158":187,"160":189,"163":193,"171":202,"174":207,"181":214,"184":217,"185":218,"187":220,"188":221,"192":225,"193":227,"195":229,"197":231,"207":243,"210":246,"212":248,"214":250,"215":251,"216":252,"218":254,"220":256,"224":261,"239":279,"242":282,"248":290,"251":293,"252":294,"257":301,"272":318,"288":335,"291":338,"293":340,"296":344,"297":345,"298":346,"325":376,"342":394,"353":407,"356":410,"357":411,"359":413,"368":423,"370":425,"371":426,"374":430,"375":433,"378":438,"380":440,"381":442,"382":443,"383":446,"387":450,"388":451,"389":452,"391":454,"415":487,"417":489,"419":491,"423":496,"427":500,"428":502,"430":505,"431":506,"432":507,"434":510,"435":511,"447":524,"448":525,"453":532,"457":537,"460":540,"467":548,"475":556,"478":559,"488":573,"489":574,"490":575,"491":576,"492":578,"496":582,"498":584,"500":586,"504":590,"509":596,"510":597,"512":602,"514":604,"516":606,"519":609,"528":621,"531":626,"535":633,"538":637,"541":641,"548":648,"550":651,"556":657,"558":659,"566":668,"570":672,"579":684,"584":689,"591":696,"594":699,"596":701,"613":723,"616":726,"629":740,"631":742,"648":763,"650":765,"654":770,"669":793,"673":798,"694":823,"707":837,"714":844,"719":850,"724":855,"747":884,"748":885,"749":886,"758":898,"777":922,"797":948,"809":962,"822":1031,"823":1032,"825":1034,"828":1037,"829":1038,"830":1039,"835":1044,"836":1045,"837":1047,"841":1055,"842":1056,"844":1058,"845":1059,"846":1060,"852":1067,"856":1071,"859":1074,"860":1076,"863":1079,"864":1080,"869":1087,"872":1090,"874":1092,"875":1094,"879":1098,"882":1101,"887":1107,"889":1109,"903":1125,"907":1129,"908":1130,"910":1132,"911":1133,"912":1134,"915":1137,"917":1139,"921":1143,"923":1145,"928":1150,"929":1151,"954":1186,"955":1187,"959":1193,"963":1198,"966":1201,"968":1203,"971":1206,"972":1207,"981":1218,"982":1220,"986":1224,"987":1225,"989":1227,"995":1234,"997":1236,"999":1240,"1002":1243,"1005":1246,"1017":1258,"1019":1261,"1022":1264,"1024":1266,"1028":1270,"1033":1275,"1035":1278,"1036":1279,"1045":1289,"1047":1291,"1052":1296,"1053":1297,"1054":1298,"1060":1304,"1064":1309,"1065":1310,"1067":1312,"1071":1316,"1077":1323,"1080":1326,"1091":1340,"1121":1376,"1122":1377,"1125":1380,"1127":1382,"1146":1404,"1157":1415,"1166":1428,"1169":1432,"1170":1433,"1173":1437,"1180":1444,"1184":1449,"1188":1453,"1193":1459,"1199":1467,"1201":1469,"1203":1471,"1206":1474,"1207":1475,"1208":1476,"1209":1477,"1212":1482,"1216":1486,"1217":1487,"1218":1489,"1223":1494,"1226":1497,"1233":1506,"1236":1509,"1242":1515,"1243":1516,"1251":1525,"1252":1526,"1257":1533,"1259":1535,"1261":1537,"1264":1540,"1265":1541,"1269":1545,"1270":1546,"1271":1547,"1273":1549,"1277":1554,"1283":1560,"1294":1571,"1315":1598,"1319":1602,"1333":1618,"1334":1619,"1337":1625,"1339":1629,"1351":1642,"1355":1647,"1357":1649,"1373":1668,"1376":1672,"1377":1673,"1379":1675,"1382":1678,"1386":1682,"1390":1688,"1397":1695,"1398":1696,"1405":1703,"1406":1704,"1414":1714,"1415":1715,"1416":1716,"1421":1721,"1434":1736,"1437":1739,"1440":1742,"1443":1745,"1462":1772,"1463":1773,"1468":1780,"1470":1783,"1471":1784,"1472":1785,"1473":1786,"1493":1815,"1500":1824,"1515":1840,"1529":1859,"1533":1865,"1536":1868,"1544":1877,"1553":1886,"1561":1898,"1569":1909,"1601":1952,"1613":1965,"1630":1984,"1652":2182,"1710":2532,"1713":2537,"1746":2755,"1750":2789,"1752":2807,"1753":2808,"1755":2819,"1762":2861,"1776":2941,"1811":3117,"1834":3219,"1848":3322,"1850":3329,"1853":3347,"1875":3467,"1889":3532,"1897":3567,"1913":3642,"1917":3687,"1921":3733,"1928":3790,"1935":3824,"1940":3846,"1943":3867,"1945":3869,"1950":3885,"1958":3931,"1968":3976},{"27":205,"33":287,"37":308,"52":445,"55":469,"73":569,"80":618,"88":649,"89":661,"90":673,"91":677,"100":758,"112":808,"138":969,"140":971,"141":972,"170":1011,"172":1013,"182":1046,"189":1105,"192":1155,"208":1239,"210":1288,"220":1397,"226":1436,"228":1463,"237":1577,"240":1592,"242":1605,"255":1687,"282":1846,"303":1940,"310":1994,"315":2000,"321":2007,"334":2024,"341":2032,"347":2039,"359":2088,"362":2108,"364":2129,"368":2151,"375":2193,"379":2219,"380":2230,"388":2265,"389":2280,"392":2294,"394":2304,"397":2313,"403":2329,"411":2350,"414":2359,"415":2365,"420":2390,"422":2393,"433":2429,"449":2496,"453":2508,"481":2670,"483":2685,"487":2707,"527":2881,"540":2927,"546":2967,"547":2971,"553":3000,"554":3002,"564":3079,"566":3083,"572":3112,"578":3141,"579":3144,"588":3211,"602":3295,"641":3459,"642":3469,"643":3475,"666":3584,"670":3602,"684":3684,"706":3803,"714":3820,"721":3884,"723":3896,"729":3924},{"4":236,"45":2021,"53":2053,"54":2054,"64":2109,"74":2208,"78":2243,"83":2270,"84":2271,"92":2318,"108":2416,"111":2422,"112":2423,"119":2485,"134":2613,"138":2636,"144":2662,"155":2702,"163":2773,"176":2872,"182":2922,"186":2968,"195":3031,"196":3033,"205":3084,"212":3120,"218":3151,"227":3229,"234":3284,"236":3290,"242":3330,"243":3349,"255":3492,"262":3554,"266":3607,"269":3627,"270":3633,"275":3702,"279":3716,"283":3770,"284":3774,"286":3778,"299":3899,"300":3910,"302":3925,"303":3929,"304":3934,"317":4013,"324":4038},{"6":2050,"10":2123,"13":2152,"16":2191,"22":2269,"24":2296,"28":2337,"36":2459,"40":2530,"46":2581,"53":2635,"55":2661,"56":2672,"59":2683,"61":2710,"62":2718,"63":2741,"64":2742,"69":2786,"70":2799,"72":2869,"76":2909,"83":2976,"90":3051,"96":3137,"97":3149,"100":3188,"106":3281,"109":3317,"112":3362,"121":3455,"126":3575,"131":3654,"134":3669,"140":3734,"141":3744,"143":3765,"147":3788,"151":3835,"159":3911,"164":3959,"166":4004,"171":4029,"174":4057,"175":4063,"179":4082},{"4":2106,"9":2156,"10":2157,"11":2162,"16":2190,"18":2232,"19":2233,"20":2246,"21":2248,"22":2263,"27":2424,"29":2455,"31":2473,"32":2487,"33":2490,"35":2498,"36":2518,"38":2575,"39":2584,"40":2612,"44":2682,"47":2728,"48":2733,"53":2814,"54":2817,"55":2821,"57":2846,"59":2891,"64":3017,"67":3075,"71":3166,"72":3174,"74":3203,"80":3314,"82":3370,"87":3409,"88":3414,"92":3452,"96":3481,"99":3537,"100":3587,"102":3626,"103":3628,"107":3685,"109":3693,"113":3754,"119":3847,"120":3848,"122":3875,"123":3878,"125":3886,"126":3905,"127":3953,"129":3960,"132":3997,"135":4034,"138":4095},{"0":2077,"7":2224,"9":2291,"10":2297,"14":2372,"17":2431,"18":2435,"22":2517,"36":2771,"40":2864,"41":2867,"43":2908,"46":2939,"49":3015,"50":3042,"51":3052,"52":3061,"53":3194,"55":3206,"57":3212,"60":3240,"64":3285,"65":3334,"66":3341,"72":3491,"73":3493,"80":3604,"83":3653,"84":3656,"86":3710,"88":3756,"91":3850,"92":3855,"94":3894,"95":3895,"99":3980,"100":3984,"103":4036,"104":4052},{"1":2076,"2":2078,"5":2173,"6":2177,"7":2209,"11":2311,"14":2462,"22":2601,"34":2919,"35":2929,"36":2936,"49":3277,"52":3311,"56":3373,"65":3655,"67":3668,"68":3698,"69":3700,"71":3732,"76":3936,"79":3967,"81":4051},{"2":2119,"3":2135,"4":2163,"8":2234,"10":2262,"11":2312,"18":2477,"20":2512,"27":2776,"34":2859,"37":2937,"40":2992,"44":3114,"46":3130,"49":3163,"51":3187,"52":3214,"55":3248,"59":3323,"60":3338,"63":3400,"67":3495,"69":3565,"70":3571,"76":3674,"77":3697,"79":3727,"83":3887,"84":3935,"88":4075},{"1":2089,"6":2187,"7":2198,"8":2199,"10":2229,"19":2622,"20":2654,"23":2781,"24":2800,"26":2862,"30":2978,"33":3111,"36":3331,"43":3542,"44":3545,"49":3686,"51":3745,"52":3758,"55":3796,"62":3933},{"1":2070,"2":2073,"3":2091,"6":2141,"7":2216,"8":2237,"28":3133,"35":3197,"36":3267,"38":3410,"40":3487,"42":3535,"43":3538,"45":3720,"49":3802,"50":3809,"53":3909,"60":4067},{"7":2366,"9":2437,"15":2583,"18":2652,"22":2763,"23":2812,"30":3086,"33":3180,"35":3275,"37":3304,"39":3375,"40":3387,"44":3440,"53":4069},{"4":2339,"6":2402,"11":2556,"15":2623,"17":2712,"21":2925,"29":3396,"33":3598,"34":3731,"35":3748},{"1":2095,"15":2899,"16":2994,"17":3008,"21":3202,"25":3399,"36":3962},{"2":2453,"10":3230,"12":3257,"19":3585},{"19":3471},{"5":2432},[],[],[],[],[],[],[],[]]