[{"2":3,"12":19,"13":20,"16":23,"19":26,"20":27,"21":28,"25":33,"27":35,"33":45,"41":54,"46":60,"48":64,"49":65,"58":81,"68":94,"71":100,"79":115,"83":121,"87":125,"88":126,"98":140,"99":141,"109":155,"113":159,"114":160,"117":163,"118":164,"124":172,"126":175,"128":179,"131":184,"136":191,"140":196,"141":198,"142":200,"156":224,"162":234,"163":238,"165":240,"167":244,"168":246,"169":248,"176":260,"188":275,"192":280,"195":284,"196":285,"200":290,"202":300,"203":301,"212":313,"215":317,"218":320,"219":321,"224":327,"239":348,"241":351,"245":359,"255":373,"259":378,"260":379,"263":382,"264":383,"272":395,"274":399,"286":415,"287":416,"290":419,"291":420,"295":425,"296":426,"299":434,"309":445,"315":452,"322":465,"336":480,"337":481,"347":498,"356":514,"359":521,"363":531,"365":536,"371":544,"373":546,"374":548,"376":550,"379":554,"385":560,"390":569,"391":570,"393":572,"405":591,"414":605,"417":610,"419":615,"422":618,"430":628,"432":630,"435":633,"457":660,"462":1025,"463":1026,"465":1028,"469":1032,"475":1043,"478":1047,"481":1051,"482":1052,"488":1058,"493":1065,"495":1070,"501":1079,"505":1084,"509":1088,"510":1089,"516":1097,"529":1117,"533":1121,"537":1125,"546":1140,"547":1142,"550":1145,"551":1146,"554":1150,"555":1151,"576":1180,"580":1184,"583":1188,"589":1199,"595":1207,"596":1208,"598":1214,"599":1217,"604":1223,"610":1233,"611":1235,"627":1259,"643":1278,"648":1285,"656":1299,"660":1304,"664":1308,"665":1309,"666":1310,"670":1315,"686":1337,"689":1341,"691":1344,"692":1345,"693":1346,"705":1361,"706":1362,"708":1367,"709":1371,"711":1373,"718":1382,"733":1403,"736":1406,"737":1407,"745":1418,"746":1419,"757":1435,"760":1440,"762":1443,"763":1444,"764":1445,"775":1459,"777":1464,"779":1468,"785":1476,"786":1480,"792":1489,"795":1492,"796":1493,"797":1494,"798":1495,"801":1500,"805":1505,"809":1517,"828":1540,"831":1543,"836":1550,"843":1558,"845":1560,"848":1564,"849":1565,"851":1567,"852":1569,"855":1572,"858":1575,"859":1577,"864":1586,"865":1587,"869":1592,"872":1596,"885":1611,"902":1643,"910":1655,"915":1661,"921":1670,"934":1687,"939":2070,"944":2092,"946":2125,"954":2169,"955":2171,"958":2207,"963":2227,"965":2246,"968":2267,"972":2286,"985":2376,"988":2397,"991":2406,"992":2409,"1010":2522,"1012":2531,"1016":2539,"1027":2596,"1032":2629,"1042":2671,"1044":2690,"1045":2692,"1051":2708,"1053":2738,"1057":2762,"1065":2796,"1067":2809,"1070":2825,"1071":2829,"1074":2839,"1083":2910,"1085":2912,"1088":2931,"1091":2938,"1094":2951,"1099":2972,"1109":3035,"1111":3046,"1112":3051,"1115":3060,"1116":3068,"1119":3088,"1129":3135,"1134":3176,"1143":3252,"1147":3287,"1148":3290,"1152":3314,"1159":3357,"1166":3386,"1175":3422,"1180":3445,"1182":3450,"1188":3479,"1196":3557,"1203":3587,"1207":3600,"1211":3614,"1216":3653,"1220":3672,"1225":3717,"1227":3720,"1229":3724,"1235":3773,"1237":3779,"1240":3804,"1246":3848,"1248":3857,"1251":3892,"1256":3932,"1258":3963,"1259":3964,"1266":3994,"1267":3998,"1270":4015,"1272":4030,"1277":4054,"1280":4057},{"0":1,"12":63,"20":91,"23":97,"24":98,"32":120,"35":138,"37":145,"50":207,"52":214,"65":242,"71":259,"73":265,"82":298,"91":349,"94":357,"95":358,"100":386,"108":410,"113":433,"124":491,"130":515,"134":529,"135":532,"137":535,"139":543,"146":578,"148":581,"165":673,"167":675,"169":679,"171":687,"174":692,"180":703,"185":709,"193":718,"201":729,"208":745,"209":746,"219":768,"237":802,"252":823,"255":830,"260":839,"265":847,"266":848,"268":850,"271":856,"274":859,"277":865,"279":867,"283":877,"284":883,"304":923,"312":932,"319":944,"324":952,"326":958,"354":997,"367":1018,"369":1020,"371":1024,"376":1059,"380":1069,"400":1169,"404":1196,"406":1198,"407":1201,"410":1211,"413":1215,"415":1222,"421":1246,"423":1249,"424":1252,"426":1261,"429":1282,"430":1289,"431":1290,"436":1314,"439":1320,"449":1370,"450":1375,"454":1397,"456":1400,"459":1414,"466":1439,"476":1474,"482":1496,"484":1501,"491":1537,"496":1562,"503":1601,"508":1620,"512":1631,"513":1636,"514":1640,"525":1678,"527":1686,"536":1700,"543":1710,"544":1711,"548":1716,"553":1724,"569":1753,"570":1754,"571":1759,"572":1761,"577":1767,"584":1781,"586":1785,"587":1786,"620":1837,"621":1838,"631":1852,"634":1855,"637":1858,"641":1862,"642":1865,"647":1874,"652":1879,"653":1880,"660":1889,"667":1900,"676":1920,"698":1958,"738":2035,"741":2039,"747":2061,"761":2168,"763":2179,"767":2187,"775":2232,"779":2260,"781":2276,"782":2284,"788":2315,"795":2366,"808":2411,"809":2416,"814":2461,"826":2516,"827":2523,"835":2566,"836":2570,"840":2606,"841":2610,"846":2654,"847":2658,"849":2668,"862":2765,"865":2818,"878":2941,"879":2946,"882":2977,"889":3039,"892":3070,"895":3103,"896":3105,"898":3113,"900":3120,"904":3139,"913":3162,"918":3187,"920":3201,"924":3235,"925":3237,"932":3270,"934":3276,"938":3282,"939":3291,"940":3306,"941":3308,"942":3321,"945":3334,"949":3356,"961":3437,"973":3511,"976":3531,"977":3532,"979":3555,"985":3588,"986":3591,"995":3708,"996":3726,"997":3735,"1002":3760,"1005":3786,"1008":3791,"1010":3810,"1011":3813,"1013":3819,"1017":3849,"1022":3891,"1028":3904,"1031":3922,"1036":3960,"1039":3966,"1043":3991,"1049":4025,"1051":4036,"1053":4044,"1054":4049,"1059":4065,"1062":4084,"1063":4089},{"0":7,"2":59,"4":104,"5":127,"7":176,"11":255,"12":279,"15":322,"17":347,"21":507,"25":524,"36":651,"38":665,"40":672,"42":678,"46":684,"49":690,"51":696,"52":697,"53":699,"57":720,"59":726,"60":730,"63":736,"64":739,"68":748,"81":797,"91":828,"94":836,"97":845,"102":861,"105":870,"107":872,"108":874,"112":880,"120":902,"121":912,"127":938,"131":945,"133":951,"139":976,"141":978,"143":987,"145":993,"146":998,"147":1001,"150":1011,"151":1013,"156":1109,"158":1149,"161":1164,"162":1187,"167":1324,"170":1416,"177":1593,"178":1626,"179":1635,"183":1698,"185":1704,"186":1708,"189":1717,"191":1721,"193":1727,"195":1729,"196":1733,"199":1744,"205":1756,"207":1760,"210":1774,"214":1789,"221":1811,"229":1839,"231":1847,"238":1873,"240":1884,"241":1894,"245":1901,"251":1913,"257":1928,"265":1963,"272":1977,"280":2001,"281":2009,"282":2012,"286":2026,"287":2029,"289":2047,"291":2072,"293":2080,"294":2087,"295":2091,"297":2102,"300":2119,"302":2128,"308":2160,"309":2162,"310":2165,"313":2175,"319":2245,"321":2249,"327":2271,"331":2294,"341":2364,"343":2392,"344":2395,"345":2404,"346":2417,"353":2481,"367":2613,"371":2642,"372":2649,"380":2700,"383":2723,"390":2751,"393":2767,"394":2781,"396":2790,"403":2848,"405":2868,"406":2884,"411":2907,"412":2925,"414":2948,"415":2952,"416":2955,"421":2983,"423":2995,"425":3010,"440":3083,"441":3092,"443":3128,"444":3183,"446":3190,"449":3197,"452":3211,"454":3219,"455":3222,"460":3244,"465":3301,"466":3313,"479":3395,"482":3408,"486":3431,"488":3444,"495":3496,"496":3502,"498":3512,"500":3520,"501":3521,"503":3545,"505":3556,"512":3599,"515":3623,"517":3630,"520":3655,"529":3727,"532":3757,"534":3766,"538":3792,"544":3823,"548":3887,"549":3893,"550":3906,"554":3969,"556":3992,"559":4016,"567":4066,"568":4074,"572":4083},{"0":372,"3":492,"6":742,"19":884,"31":1008,"41":1771,"69":2064,"71":2079,"73":2096,"77":2177,"78":2188,"84":2243,"85":2250,"87":2264,"88":2272,"90":2292,"91":2306,"92":2310,"98":2343,"101":2359,"103":2378,"110":2427,"116":2455,"117":2458,"122":2521,"123":2540,"126":2563,"128":2576,"132":2634,"134":2646,"135":2662,"139":2709,"143":2720,"144":2724,"150":2769,"154":2814,"159":2847,"170":2961,"171":2971,"172":2996,"174":3004,"177":3018,"179":3025,"180":3026,"184":3065,"186":3097,"191":3154,"196":3175,"203":3258,"204":3263,"207":3284,"208":3285,"211":3304,"212":3322,"215":3377,"218":3403,"223":3465,"224":3481,"225":3497,"230":3552,"232":3559,"240":3647,"242":3666,"243":3673,"244":3674,"246":3677,"248":3679,"253":3716,"254":3729,"255":3730,"258":3744,"262":3781,"269":3878,"277":3945,"283":4003,"284":4006,"286":4032,"291":4086},{"3":956,"4":1003,"7":2018,"10":2054,"11":2065,"14":2093,"16":2141,"21":2155,"24":2199,"27":2233,"28":2235,"30":2285,"39":2365,"42":2380,"43":2384,"46":2414,"47":2418,"51":2447,"52":2450,"54":2474,"57":2504,"61":2543,"63":2557,"64":2577,"70":2612,"80":2784,"82":2798,"84":2823,"87":2873,"89":2913,"93":2935,"97":2976,"99":2979,"103":3001,"110":3115,"120":3223,"122":3231,"126":3295,"130":3316,"131":3342,"135":3371,"137":3443,"138":3448,"145":3526,"147":3540,"151":3584,"152":3589,"153":3595,"154":3624,"156":3628,"163":3701,"172":3772,"174":3807,"178":3837,"180":3852,"181":3858,"185":3920,"189":3953,"190":3956,"194":4020,"195":4037,"197":4061,"199":4077},{"6":2094,"12":2173,"17":2238,"21":2265,"22":2273,"29":2370,"35":2436,"37":2454,"39":2463,"40":2464,"46":2569,"55":2639,"56":2663,"58":2679,"72":2846,"76":2877,"78":2895,"80":2927,"88":3030,"91":3058,"92":3062,"98":3096,"102":3117,"103":3126,"104":3129,"106":3136,"107":3165,"112":3292,"117":3432,"118":3434,"119":3441,"123":3535,"125":3542,"126":3550,"134":3651,"136":3668,"137":3671,"142":3704,"146":3741,"152":3820,"156":3888,"158":3905,"160":3921,"162":3933,"166":3959,"167":3961,"169":3984,"172":4005,"173":4017},{"0":2059,"3":2105,"7":2121,"10":2137,"13":2262,"19":2402,"24":2491,"25":2509,"26":2518,"27":2549,"29":2599,"31":2619,"34":2660,"44":2795,"46":2805,"48":2821,"51":2876,"53":2897,"57":2945,"58":2959,"59":2989,"60":3038,"66":3182,"67":3204,"75":3271,"81":3329,"88":3374,"89":3393,"91":3410,"94":3460,"95":3461,"96":3470,"107":3613,"110":3656,"116":3753,"117":3758,"118":3764,"123":3833,"126":3863,"135":3954,"136":4009,"139":4058,"141":4071},{"9":2189,"14":2290,"16":2360,"18":2424,"20":2445,"22":2482,"24":2517,"32":2651,"35":2715,"41":2803,"42":2806,"44":2844,"46":2900,"48":2918,"49":2929,"52":2984,"67":3179,"70":3217,"73":3247,"78":3361,"81":3415,"84":3452,"85":3458,"87":3471,"89":3499,"90":3537,"92":3583,"95":3607,"102":3800,"107":3845,"110":3927,"111":3928,"112":3941,"113":3951,"114":3952,"115":3955,"116":3973,"117":3978,"118":3979},{"9":2351,"15":2478,"18":2544,"28":2794,"30":2837,"34":2886,"38":2964,"41":3028,"42":3029,"47":3198,"50":3333,"54":3406,"55":3446,"62":3606,"68":3734,"69":3746,"77":3885,"78":3889},{"2":2123,"10":2446,"14":2586,"15":2598,"24":2966,"26":3134,"33":3335,"40":3493,"44":3629,"53":3914},{"0":2133,"10":2752,"16":2930,"17":2944,"19":3019,"23":3186,"24":3225,"28":3597,"30":3612,"34":3825},{"2":2149,"3":2295},[],[],[],[]]