[{"3":5,"11":13,"15":17,"17":21,"19":23,"27":32,"29":34,"30":35,"34":41,"37":45,"39":47,"41":49,"46":55,"66":79,"68":82,"69":83,"70":86,"73":91,"75":93,"76":95,"80":99,"82":101,"88":109,"94":116,"96":119,"97":122,"98":123,"99":124,"100":125,"102":128,"103":131,"110":138,"112":141,"116":145,"119":148,"131":165,"134":171,"135":173,"140":180,"142":182,"144":184,"147":188,"150":194,"151":195,"152":196,"153":199,"154":200,"155":202,"156":203,"157":204,"158":205,"159":208,"160":209,"163":213,"164":214,"165":215,"174":224,"178":229,"180":231,"183":234,"188":241,"196":251,"202":259,"204":261,"206":264,"208":266,"209":267,"211":269,"217":277,"219":279,"221":281,"230":293,"239":303,"240":304,"245":311,"247":315,"248":316,"249":317,"251":320,"252":322,"253":324,"254":325,"258":330,"259":331,"262":335,"263":336,"264":337,"265":338,"267":340,"269":342,"275":352,"276":354,"280":358,"282":360,"285":364,"287":367,"296":378,"299":382,"300":383,"307":391,"308":392,"314":398,"315":399,"317":402,"319":404,"325":413,"326":415,"329":421,"334":427,"338":431,"340":433,"341":434,"342":435,"344":437,"347":440,"349":443,"351":445,"352":446,"353":447,"356":451,"357":453,"359":456,"361":458,"363":461,"365":464,"367":466,"368":469,"370":471,"372":475,"373":476,"374":477,"375":480,"381":486,"382":487,"385":490,"389":498,"391":500,"392":501,"393":502,"395":504,"398":507,"400":509,"402":513,"404":515,"405":516,"407":518,"408":519,"409":520,"411":523,"412":527,"413":528,"414":529,"415":530,"418":533,"420":535,"422":537,"424":539,"425":540,"427":542,"428":543,"430":545,"433":550,"434":551,"435":552,"436":553,"441":559,"444":563,"445":564,"446":565,"447":566,"448":567,"449":568,"451":570,"452":571,"454":573,"455":574,"458":577,"459":578,"460":579,"462":584,"463":588,"465":590,"470":1025,"472":1028,"478":1037,"479":1038,"480":1039,"481":1040,"489":1048,"494":1057,"496":1059,"497":1060,"505":1071,"512":1078,"522":1090,"527":1096,"528":1097,"530":1100,"535":1107,"537":1111,"540":1116,"542":1118,"544":1121,"545":1122,"549":1128,"552":1133,"553":1134,"557":1138,"558":1140,"559":1141,"562":1146,"564":1149,"565":1150,"567":1152,"568":1153,"569":1154,"570":1156,"571":1157,"574":1160,"580":1168,"585":1175,"591":1181,"593":1185,"594":1186,"595":1187,"598":1190,"599":1191,"601":1195,"608":1205,"613":1214,"614":1215,"617":1218,"621":1224,"622":1225,"624":1227,"625":1228,"626":1229,"629":1232,"631":1234,"632":1235,"633":1236,"634":1239,"635":1240,"636":1242,"638":1244,"640":1247,"644":1254,"648":1258,"649":1259,"652":1262,"654":1264,"655":1266,"660":1273,"661":1274,"663":1276,"669":1282,"670":1283,"671":1285,"672":1287,"674":1290,"676":1293,"680":1299,"692":1314,"693":1315,"696":1318,"708":1331,"713":1341,"714":1342,"721":1350,"722":1351,"723":1352,"725":1354,"726":1355,"728":1358,"733":1364,"738":1372,"739":1373,"745":1380,"750":1388,"753":1391,"754":1392,"756":1394,"759":1397,"761":1399,"765":1405,"767":1407,"768":1408,"778":1422,"780":1426,"783":1429,"784":1430,"786":1432,"787":1433,"788":1434,"791":1438,"792":1439,"794":1441,"796":1444,"798":1446,"799":1449,"800":1450,"802":1452,"805":1457,"807":1461,"808":1462,"812":1469,"813":1470,"818":1475,"819":1477,"822":1480,"823":1481,"828":1487,"829":1489,"831":1492,"833":1495,"836":1499,"837":1500,"838":1502,"839":1504,"843":1508,"846":1511,"847":1512,"848":1513,"849":1514,"853":1519,"854":1520,"855":1521,"857":1523,"860":1528,"862":1530,"864":1534,"865":1536,"867":1539,"869":1542,"870":1543,"871":1545,"875":1551,"876":1552,"879":1556,"882":1559,"884":1562,"885":1563,"886":1564,"888":1566,"889":1567,"892":1570,"893":1571,"897":1575,"898":1576,"899":1577,"900":1578,"901":1579,"902":1581,"903":1582,"904":1583,"912":1592,"913":1594,"914":1595,"915":1597,"917":1599,"918":1600,"921":1605,"922":1606,"924":1608,"926":1610,"927":1611,"928":1612,"929":1613,"930":1614,"931":1615,"934":2048,"935":2050,"936":2058,"937":2072,"939":2084,"944":2124,"946":2147,"948":2154,"949":2164,"951":2183,"952":2200,"954":2214,"955":2226,"961":2251,"962":2262,"963":2276,"967":2290,"972":2310,"974":2322,"975":2332,"977":2338,"979":2373,"980":2374,"981":2390,"987":2415,"988":2423,"995":2504,"997":2509,"999":2523,"1002":2541,"1003":2550,"1004":2573,"1006":2583,"1009":2596,"1010":2601,"1014":2630,"1015":2641,"1016":2678,"1017":2679,"1018":2686,"1022":2717,"1023":2718,"1024":2722,"1025":2726,"1026":2730,"1027":2732,"1028":2739,"1029":2776,"1030":2793,"1031":2796,"1033":2808,"1034":2814,"1035":2817,"1037":2822,"1039":2831,"1043":2908,"1045":2938,"1046":2939,"1047":2941,"1049":2949,"1050":2966,"1051":2976,"1052":2978,"1053":2989,"1054":2991,"1055":2994,"1057":2999,"1059":3028,"1062":3046,"1064":3078,"1065":3079,"1066":3083,"1067":3084,"1070":3111,"1071":3137,"1074":3173,"1076":3182,"1077":3209,"1079":3234,"1081":3243,"1083":3266,"1084":3279,"1085":3284,"1087":3295,"1089":3333,"1090":3334,"1091":3384,"1094":3391,"1095":3395,"1097":3398,"1102":3407,"1106":3438,"1110":3448,"1112":3474,"1114":3480,"1117":3491,"1118":3526,"1119":3531,"1120":3535,"1122":3537,"1123":3538,"1124":3540,"1126":3560,"1127":3565,"1129":3571,"1132":3582,"1135":3590,"1136":3594,"1137":3598,"1138":3608,"1139":3617,"1140":3618,"1142":3630,"1144":3632,"1145":3653,"1148":3664,"1152":3677,"1153":3680,"1154":3696,"1158":3752,"1160":3762,"1163":3775,"1164":3778,"1166":3801,"1167":3820,"1170":3835,"1172":3840,"1173":3843,"1175":3855,"1177":3860,"1178":3871,"1179":3876,"1180":3879,"1181":3880,"1183":3882,"1184":3897,"1185":3900,"1186":3903,"1187":3904,"1189":3911,"1191":3929,"1193":3950,"1196":3971,"1198":3984,"1200":3992,"1203":4000,"1204":4015,"1207":4029,"1209":4065,"1210":4071},{"4":38,"8":66,"10":77,"11":81,"14":90,"15":103,"17":111,"18":118,"19":120,"20":121,"28":163,"29":167,"30":168,"34":187,"35":191,"36":192,"39":198,"40":201,"41":206,"42":207,"43":210,"47":242,"49":253,"52":270,"53":272,"54":288,"57":309,"61":321,"62":323,"64":332,"65":346,"71":372,"79":414,"80":416,"81":418,"82":423,"83":441,"87":459,"88":462,"89":467,"90":468,"91":472,"93":478,"95":495,"96":496,"97":510,"98":511,"101":525,"102":526,"103":546,"104":547,"106":562,"109":583,"110":585,"114":595,"117":599,"123":610,"125":613,"126":614,"130":618,"132":621,"135":624,"136":625,"137":626,"139":628,"140":630,"142":633,"143":634,"144":635,"145":636,"147":638,"155":648,"158":652,"160":654,"164":662,"165":663,"166":664,"179":680,"184":686,"185":687,"186":691,"187":692,"189":696,"193":702,"195":704,"198":707,"199":708,"206":715,"212":723,"214":725,"215":726,"219":733,"221":736,"227":744,"228":745,"230":748,"231":749,"233":753,"237":758,"239":761,"241":763,"248":771,"265":797,"268":800,"270":802,"271":804,"273":806,"275":812,"277":814,"279":816,"280":817,"283":823,"284":824,"285":827,"286":828,"290":835,"292":837,"293":838,"296":842,"297":843,"298":844,"302":851,"303":853,"305":855,"306":856,"310":862,"314":867,"316":871,"322":883,"324":886,"328":894,"331":897,"334":900,"341":910,"344":915,"346":917,"348":919,"349":920,"351":922,"357":933,"358":934,"362":938,"363":939,"365":941,"369":948,"371":950,"374":953,"377":957,"385":972,"388":978,"389":979,"392":982,"396":987,"398":991,"400":993,"406":1003,"409":1008,"413":1015,"421":1033,"426":1064,"430":1099,"432":1106,"435":1112,"437":1120,"439":1126,"442":1139,"446":1155,"447":1161,"448":1167,"449":1169,"452":1184,"453":1193,"454":1194,"459":1209,"460":1210,"461":1211,"462":1220,"463":1237,"464":1238,"465":1241,"467":1249,"468":1252,"471":1271,"473":1289,"477":1301,"480":1329,"482":1337,"488":1368,"490":1371,"491":1377,"500":1421,"501":1423,"503":1437,"504":1442,"505":1447,"506":1448,"507":1453,"508":1456,"509":1459,"511":1464,"514":1488,"515":1490,"516":1494,"518":1501,"520":1517,"521":1524,"522":1527,"523":1532,"524":1533,"525":1535,"526":1538,"527":1541,"529":1550,"530":1560,"531":1591,"533":1596,"534":1604,"535":1618,"538":1621,"539":1622,"544":1628,"550":1636,"552":1639,"555":1642,"558":1645,"561":1648,"563":1651,"567":1656,"568":1657,"570":1659,"572":1662,"577":1668,"581":1674,"582":1675,"585":1682,"592":1697,"597":1706,"601":1711,"604":1717,"608":1725,"611":1728,"618":1737,"624":1744,"629":1749,"634":1757,"637":1760,"638":1762,"639":1763,"640":1764,"642":1766,"643":1772,"650":1785,"651":1786,"652":1788,"657":1794,"658":1795,"659":1797,"660":1799,"665":1804,"666":1806,"675":1818,"681":1826,"685":1832,"686":1834,"687":1835,"691":1840,"698":1848,"699":1849,"700":1850,"701":1852,"711":1866,"712":1867,"713":1868,"714":1869,"718":1875,"719":1876,"723":1880,"728":1886,"735":1895,"740":1906,"752":1927,"757":1935,"760":1938,"761":1941,"764":1945,"769":1953,"772":1958,"779":1973,"786":1983,"787":1984,"788":1985,"789":1986,"792":1991,"793":1992,"798":1999,"799":2000,"804":2010,"805":2011,"809":2024,"810":2026,"823":2046,"824":2047,"825":2051,"826":2053,"831":2091,"832":2100,"833":2105,"839":2129,"840":2130,"841":2137,"842":2139,"843":2140,"844":2143,"845":2153,"851":2187,"853":2194,"854":2198,"855":2199,"858":2208,"861":2222,"863":2246,"865":2263,"866":2264,"867":2267,"869":2286,"870":2291,"872":2300,"874":2325,"875":2344,"877":2376,"878":2384,"879":2386,"880":2387,"885":2404,"892":2458,"893":2468,"894":2470,"895":2472,"899":2493,"900":2497,"901":2500,"903":2510,"905":2536,"907":2549,"908":2586,"910":2591,"911":2594,"913":2615,"914":2622,"915":2625,"916":2638,"918":2643,"919":2649,"920":2650,"923":2665,"926":2674,"928":2700,"930":2704,"931":2707,"932":2709,"933":2712,"934":2716,"936":2736,"939":2757,"940":2758,"941":2774,"943":2777,"945":2795,"946":2810,"947":2825,"948":2840,"950":2847,"951":2849,"953":2861,"954":2875,"956":2890,"958":2899,"959":2900,"960":2901,"962":2910,"964":2927,"966":2937,"969":2961,"970":2969,"971":2980,"972":2987,"974":2992,"976":3022,"977":3030,"978":3037,"979":3043,"981":3055,"982":3067,"983":3068,"985":3071,"986":3074,"987":3102,"988":3114,"990":3146,"991":3149,"992":3151,"997":3197,"998":3203,"999":3205,"1000":3210,"1001":3221,"1003":3225,"1005":3237,"1008":3252,"1009":3262,"1011":3303,"1014":3309,"1017":3345,"1018":3348,"1019":3349,"1020":3359,"1021":3364,"1022":3379,"1023":3383,"1025":3417,"1027":3426,"1029":3434,"1032":3450,"1036":3476,"1039":3516,"1040":3519,"1044":3539,"1045":3544,"1048":3574,"1049":3577,"1050":3591,"1051":3593,"1053":3603,"1057":3637,"1058":3638,"1059":3650,"1060":3659,"1061":3683,"1063":3685,"1064":3688,"1065":3695,"1066":3698,"1067":3719,"1068":3720,"1069":3722,"1070":3723,"1074":3748,"1076":3751,"1079":3772,"1080":3793,"1081":3798,"1083":3816,"1084":3826,"1085":3828,"1087":3850,"1089":3856,"1090":3877,"1093":3908,"1096":3915,"1098":3919,"1099":3934,"1101":3941,"1102":3946,"1104":3954,"1105":3955,"1106":3974,"1108":3998,"1109":3999,"1112":4016,"1113":4026,"1115":4028,"1116":4034,"1117":4043,"1118":4058,"1119":4073,"1120":4087,"1121":4089},{"2":87,"3":130,"5":284,"8":479,"9":497,"11":603,"12":604,"14":608,"16":620,"21":658,"25":674,"27":689,"29":694,"36":731,"37":735,"38":738,"40":746,"42":752,"45":770,"49":777,"53":808,"54":809,"57":822,"58":825,"60":829,"61":833,"62":834,"64":845,"66":847,"67":858,"69":868,"70":870,"72":876,"74":879,"76":881,"79":888,"90":944,"91":946,"92":958,"93":961,"95":964,"97":967,"98":969,"104":998,"105":999,"109":1012,"114":1092,"115":1223,"117":1286,"120":1486,"121":1547,"122":1554,"123":1580,"124":1603,"127":1638,"128":1650,"130":1661,"134":1677,"136":1683,"137":1684,"139":1687,"146":1708,"148":1716,"153":1730,"156":1754,"157":1755,"158":1761,"159":1767,"160":1769,"161":1774,"163":1779,"165":1784,"171":1829,"175":1847,"176":1851,"177":1856,"179":1873,"180":1882,"181":1893,"182":1897,"184":1901,"185":1902,"186":1908,"188":1914,"190":1918,"192":1921,"195":1934,"203":1962,"206":1971,"207":1979,"208":1981,"212":1993,"213":1994,"214":2003,"218":2012,"220":2015,"223":2018,"224":2022,"225":2025,"226":2034,"227":2036,"229":2042,"232":2067,"234":2079,"241":2127,"242":2148,"243":2158,"247":2188,"248":2195,"249":2196,"250":2197,"252":2265,"253":2268,"254":2270,"260":2309,"261":2315,"266":2360,"267":2362,"270":2391,"271":2392,"272":2429,"276":2442,"278":2464,"279":2467,"287":2545,"289":2571,"292":2584,"294":2592,"295":2603,"296":2609,"302":2635,"307":2681,"309":2684,"311":2694,"312":2702,"313":2708,"315":2729,"316":2751,"318":2754,"320":2779,"322":2784,"324":2791,"325":2805,"327":2819,"328":2820,"330":2830,"331":2839,"334":2852,"335":2864,"340":2894,"341":2904,"345":2923,"346":2931,"347":2960,"348":2981,"351":3002,"354":3027,"355":3049,"356":3052,"357":3060,"363":3099,"367":3116,"369":3126,"372":3139,"374":3159,"376":3174,"380":3185,"384":3218,"385":3226,"387":3239,"389":3245,"393":3277,"395":3306,"396":3307,"397":3316,"400":3323,"401":3330,"402":3338,"404":3341,"407":3351,"409":3358,"412":3366,"413":3371,"414":3387,"419":3479,"420":3483,"427":3579,"428":3581,"430":3642,"434":3692,"438":3721,"439":3732,"442":3770,"445":3783,"446":3787,"452":3841,"455":3861,"456":3867,"457":3872,"458":3883,"459":3907,"460":3909,"461":3925,"463":3945,"465":3977,"466":3981,"470":4042,"471":4048,"472":4053},{"0":94,"2":597,"3":643,"6":688,"7":732,"8":774,"12":819,"13":852,"15":909,"16":912,"20":1009,"21":1022,"22":1066,"23":1634,"24":1676,"25":1680,"26":1696,"28":1713,"29":1752,"31":1770,"36":1812,"37":1859,"38":1862,"39":1870,"40":1887,"41":1898,"42":1905,"46":1940,"48":1964,"59":2085,"62":2114,"64":2133,"65":2146,"67":2186,"68":2189,"72":2228,"78":2275,"80":2289,"81":2316,"87":2372,"91":2427,"92":2431,"93":2444,"97":2502,"99":2553,"102":2559,"105":2626,"107":2645,"115":2766,"116":2781,"120":2813,"123":2858,"124":2884,"126":2886,"128":2915,"129":2916,"130":2921,"131":2933,"138":3008,"139":3013,"140":3016,"141":3024,"142":3025,"145":3050,"146":3058,"149":3107,"152":3178,"154":3200,"162":3288,"168":3332,"169":3367,"170":3370,"171":3372,"174":3414,"178":3453,"179":3464,"180":3472,"186":3564,"189":3639,"192":3702,"195":3714,"196":3730,"200":3766,"202":3791,"203":3807,"208":3822,"215":3921,"223":3975,"224":3985,"225":3988,"226":4003,"227":4022,"228":4024,"229":4060,"231":4068},{"0":956,"2":1824,"8":2155,"12":2213,"13":2220,"21":2311,"24":2340,"25":2341,"26":2342,"28":2358,"29":2369,"31":2453,"33":2457,"34":2462,"37":2518,"40":2561,"44":2618,"45":2628,"46":2636,"50":2693,"51":2699,"53":2721,"54":2724,"59":2761,"61":2769,"64":2792,"65":2815,"68":2838,"69":2841,"71":2866,"75":2907,"81":2963,"84":3011,"86":3019,"88":3063,"91":3089,"92":3093,"94":3100,"100":3249,"102":3251,"106":3294,"117":3425,"118":3429,"121":3482,"122":3487,"123":3503,"126":3517,"128":3521,"129":3522,"131":3587,"135":3643,"140":3718,"145":3784,"147":3812,"148":3849,"150":3866,"152":3885,"153":3889,"154":3913,"156":3953,"157":3963,"167":4062,"168":4083,"171":4094},{"0":2071,"2":2076,"3":2077,"14":2212,"18":2297,"19":2301,"20":2314,"33":2484,"36":2511,"40":2556,"45":2607,"46":2616,"50":2661,"52":2695,"54":2744,"55":2747,"56":2756,"57":2763,"58":2797,"61":2829,"64":2863,"66":2874,"67":2902,"69":2956,"71":2965,"72":2983,"75":3090,"78":3117,"83":3163,"87":3231,"90":3278,"98":3408,"100":3412,"101":3456,"102":3481,"103":3484,"107":3626,"108":3628,"113":3682,"116":3737,"125":3865,"127":3891,"131":3959,"132":3969,"138":4041},{"2":2138,"4":2209,"8":2306,"9":2351,"12":2395,"13":2409,"17":2466,"19":2495,"23":2530,"26":2572,"27":2579,"28":2582,"30":2640,"37":2698,"38":2737,"40":2745,"41":2748,"42":2770,"47":2896,"52":2968,"54":2996,"55":3021,"62":3135,"63":3161,"64":3198,"66":3213,"68":3275,"72":3356,"73":3378,"74":3392,"75":3405,"77":3413,"78":3416,"80":3428,"84":3495,"86":3548,"93":3623,"96":3669,"104":3858,"110":3972,"115":4072,"118":4086,"120":4095},{"2":2120,"4":2151,"6":2224,"9":2279,"14":2365,"16":2393,"17":2398,"18":2426,"19":2454,"20":2456,"34":2668,"35":2697,"38":2812,"40":2865,"41":2935,"43":2973,"45":2993,"46":3036,"48":3066,"51":3162,"54":3188,"62":3329,"63":3352,"65":3489,"66":3497,"71":3569,"73":3597,"84":3779,"85":3804,"87":3810,"89":3916,"101":4082,"102":4091},{"5":2217,"8":2319,"10":2354,"13":2499,"24":2734,"26":2771,"29":2833,"33":2881,"35":2893,"38":2964,"43":3059,"44":3088,"46":3105,"48":3142,"49":3144,"52":3184,"57":3311,"60":3404,"62":3441,"66":3494,"70":3635,"73":3715,"74":3767,"82":3888,"85":4046,"86":4059},{"8":2168,"9":2179,"13":2237,"16":2324,"19":2352,"20":2361,"23":2399,"24":2428,"25":2435,"27":2471,"35":2578,"41":2719,"48":2873,"49":2892,"51":2919,"54":3012,"61":3222,"65":3377,"67":3393,"69":3466,"71":3525,"74":3647,"81":3729,"84":3777,"90":3918,"91":3947,"93":4050},{"2":2126,"4":2271,"7":2421,"8":2422,"10":2465,"11":2475,"13":2600,"14":2644,"18":2743,"22":2811,"29":3119,"33":3201,"35":3269,"36":3287,"38":3328,"39":3343,"41":3362,"44":3433,"48":3500,"50":3567,"57":3764,"61":3831,"70":4069},{"1":2166,"10":2514,"13":2604,"15":2738,"20":2925,"22":2979,"26":3101,"28":3123,"32":3255,"34":3268,"36":3382,"38":3435,"39":3524,"40":3533,"46":3634,"53":3854,"55":3901,"58":3938,"61":4044},{"5":2367,"7":2459,"10":2557,"11":2562,"15":2871,"19":3172,"25":3421,"26":3475,"28":3556,"32":3699,"34":3747,"36":3809,"38":3870,"41":3997,"43":4070},{"1":2145,"3":2227,"6":2272,"11":2842,"17":2972,"19":3045,"20":3048,"28":3256,"34":3361,"38":3547,"41":3789,"42":3873,"46":4023},{"1":2096,"7":2192,"11":2483,"17":3065,"19":3180,"20":3270,"25":3375,"33":3656,"40":4018,"41":4021},{"20":3610},{"7":3035},[],[],[],[],[],[]]