[{"0":0,"1":1,"5":5,"10":11,"12":14,"15":20,"16":21,"17":22,"32":42,"33":44,"34":45,"36":47,"42":58,"43":59,"49":66,"53":70,"56":75,"57":77,"62":85,"63":86,"64":88,"67":91,"68":92,"70":95,"79":104,"81":106,"82":107,"84":109,"85":110,"87":113,"90":116,"93":119,"95":121,"96":122,"97":123,"99":125,"100":127,"104":131,"107":134,"109":136,"111":138,"117":145,"118":148,"123":153,"126":158,"129":161,"132":164,"135":170,"137":174,"144":184,"151":194,"154":197,"160":203,"162":205,"166":210,"170":216,"179":228,"181":230,"183":233,"187":238,"189":240,"190":241,"197":251,"198":253,"199":254,"200":255,"202":257,"211":267,"212":268,"217":275,"227":289,"229":291,"236":301,"242":307,"244":309,"246":311,"250":315,"251":316,"257":322,"259":324,"262":327,"263":328,"264":329,"265":331,"269":335,"274":340,"277":344,"283":350,"284":351,"285":352,"287":355,"293":363,"295":365,"297":368,"305":376,"309":381,"311":384,"312":386,"314":390,"318":395,"319":396,"326":403,"327":404,"329":406,"330":407,"333":410,"344":424,"360":448,"372":465,"381":475,"388":483,"389":484,"391":486,"393":488,"395":490,"397":492,"400":496,"401":500,"406":509,"407":510,"412":516,"413":517,"422":533,"423":534,"439":559,"442":563,"448":573,"450":576,"457":1024,"461":1028,"463":1030,"465":1032,"466":1033,"467":1035,"468":1036,"469":1037,"473":1042,"474":1043,"477":1046,"480":1050,"482":1052,"484":1054,"485":1057,"488":1061,"491":1064,"494":1067,"495":1068,"498":1072,"501":1075,"502":1077,"503":1078,"505":1081,"507":1083,"508":1084,"509":1086,"513":1090,"515":1093,"516":1094,"521":1103,"525":1108,"529":1114,"532":1119,"533":1120,"538":1127,"539":1128,"545":1139,"548":1143,"549":1144,"550":1145,"554":1149,"555":1150,"564":1159,"566":1161,"567":1162,"593":1197,"594":1199,"599":1205,"600":1206,"601":1207,"612":1222,"613":1223,"614":1224,"619":1232,"620":1234,"622":1236,"624":1239,"626":1243,"632":1251,"634":1253,"639":1260,"640":1261,"641":1262,"643":1264,"652":1279,"653":1280,"660":1291,"661":1292,"663":1295,"666":1298,"671":1303,"674":1306,"680":1315,"682":1318,"689":1327,"693":1331,"694":1334,"697":1339,"699":1341,"700":1342,"701":1343,"702":1344,"703":1345,"705":1347,"709":1355,"710":1357,"711":1359,"712":1360,"715":1365,"717":1368,"720":1372,"722":1375,"725":1379,"727":1381,"734":1389,"736":1391,"738":1393,"741":1399,"746":1406,"749":1410,"750":1411,"755":1417,"756":1419,"764":1429,"768":1435,"771":1440,"774":1444,"784":1458,"788":1465,"792":1469,"796":1473,"798":1477,"802":1481,"812":1492,"817":1498,"825":1511,"827":1514,"828":1516,"835":1524,"836":1525,"840":1530,"843":1533,"854":1552,"858":1557,"866":1569,"870":1574,"871":1575,"884":1596,"887":1599,"888":1600,"908":2129,"912":2153,"926":2261,"927":2262,"932":2274,"941":2296,"944":2316,"945":2320,"947":2328,"948":2339,"968":2479,"970":2491,"976":2598,"980":2622,"993":2704,"999":2759,"1001":2781,"1010":2846,"1015":2891,"1022":2973,"1024":2983,"1027":2999,"1032":3020,"1034":3055,"1041":3115,"1045":3153,"1060":3242,"1067":3278,"1069":3289,"1070":3297,"1075":3341,"1078":3352,"1092":3470,"1095":3485,"1121":3685,"1136":3809,"1145":3872,"1148":3886,"1152":3894,"1165":4003,"1168":4010},{"2":16,"3":17,"9":40,"11":49,"13":53,"14":56,"23":94,"34":173,"37":183,"46":225,"47":232,"53":266,"57":280,"63":330,"68":366,"70":382,"72":387,"94":502,"99":522,"102":526,"110":545,"116":565,"120":585,"122":587,"123":588,"126":593,"127":594,"129":596,"134":605,"135":606,"141":612,"144":616,"145":617,"146":619,"147":623,"150":626,"151":627,"157":633,"175":655,"181":669,"182":670,"185":673,"186":676,"187":677,"190":680,"191":681,"192":682,"193":684,"195":686,"196":687,"197":688,"204":698,"205":700,"206":701,"211":707,"212":708,"214":713,"219":720,"235":743,"236":746,"237":747,"238":748,"239":749,"240":750,"242":752,"243":753,"246":756,"247":757,"253":767,"254":768,"255":769,"257":771,"259":774,"261":776,"267":785,"269":790,"271":795,"275":799,"276":800,"278":807,"281":811,"284":815,"286":818,"287":819,"294":827,"296":830,"307":842,"313":848,"323":862,"324":863,"326":865,"333":880,"340":891,"346":901,"347":903,"353":911,"354":913,"356":916,"358":918,"362":923,"373":940,"374":941,"376":943,"377":944,"379":947,"380":949,"381":950,"382":951,"383":952,"385":955,"386":956,"387":960,"388":961,"389":962,"390":965,"391":966,"392":967,"393":968,"394":970,"397":979,"398":980,"399":981,"400":983,"401":985,"405":990,"411":999,"412":1001,"425":1020,"426":1021,"434":1071,"443":1111,"444":1113,"446":1118,"457":1173,"461":1192,"474":1248,"475":1255,"483":1284,"494":1333,"497":1348,"501":1356,"502":1358,"508":1378,"524":1445,"528":1459,"532":1487,"536":1501,"538":1509,"541":1523,"542":1527,"547":1546,"549":1551,"562":1601,"568":1612,"571":1615,"573":1618,"574":1620,"575":1621,"576":1622,"577":1623,"579":1627,"586":1642,"587":1643,"590":1647,"591":1648,"596":1656,"601":1661,"605":1665,"608":1669,"611":1673,"612":1675,"626":1694,"630":1698,"631":1699,"632":1700,"633":1703,"636":1708,"639":1711,"645":1722,"646":1724,"647":1725,"648":1726,"649":1727,"650":1728,"653":1733,"654":1734,"667":1750,"669":1753,"673":1759,"677":1766,"680":1771,"681":1772,"682":1773,"683":1775,"685":1778,"686":1779,"687":1780,"688":1782,"692":1787,"693":1788,"694":1789,"695":1792,"697":1795,"701":1800,"702":1801,"703":1803,"706":1806,"707":1807,"709":1809,"714":1816,"717":1822,"722":1831,"723":1832,"729":1839,"730":1840,"731":1842,"732":1843,"733":1844,"734":1846,"735":1847,"739":1852,"740":1853,"743":1858,"750":1868,"754":1872,"756":1875,"763":1882,"771":1891,"777":1897,"779":1899,"781":1903,"784":1911,"787":1916,"789":1918,"795":1926,"796":1930,"797":1932,"798":1933,"800":1935,"802":1937,"803":1938,"809":1944,"811":1948,"817":1957,"820":1962,"821":1963,"823":1965,"829":1974,"830":1975,"831":1976,"832":1977,"833":1978,"834":1979,"835":1980,"841":1986,"843":1990,"846":1995,"847":1996,"850":1999,"852":2001,"855":2006,"857":2008,"858":2011,"859":2013,"870":2028,"872":2031,"873":2032,"877":2038,"891":2101,"892":2105,"895":2117,"902":2146,"903":2148,"914":2267,"918":2291,"940":2440,"941":2452,"943":2461,"954":2529,"956":2544,"960":2566,"964":2584,"992":2787,"993":2791,"994":2794,"996":2808,"1001":2861,"1003":2868,"1006":2883,"1017":2927,"1029":2982,"1052":3143,"1057":3170,"1081":3384,"1082":3388,"1091":3422,"1098":3461,"1108":3507,"1110":3557,"1127":3679,"1132":3708,"1138":3767,"1148":3842,"1149":3846,"1156":3897,"1159":3909,"1160":3910,"1167":3982,"1175":4067},{"10":598,"14":618,"38":714,"39":719,"45":738,"47":744,"49":761,"70":857,"71":859,"74":872,"76":877,"78":884,"79":887,"89":912,"98":959,"100":964,"102":971,"104":973,"106":976,"109":984,"110":987,"142":1646,"151":1688,"153":1702,"154":1704,"155":1706,"158":1715,"161":1723,"162":1732,"167":1755,"171":1767,"172":1774,"174":1781,"192":1867,"194":1889,"196":1902,"199":1908,"204":1927,"206":1929,"207":1931,"218":1988,"219":1991,"222":2009,"224":2012,"240":2076,"247":2159,"249":2179,"252":2192,"256":2211,"260":2232,"283":2379,"284":2394,"285":2395,"291":2411,"297":2458,"301":2485,"307":2516,"308":2531,"309":2533,"311":2550,"313":2563,"319":2599,"322":2616,"323":2624,"328":2658,"331":2672,"334":2689,"336":2707,"340":2734,"353":2796,"354":2803,"355":2805,"360":2830,"361":2840,"364":2860,"368":2878,"370":2894,"375":2908,"388":3021,"392":3035,"405":3131,"422":3262,"425":3279,"431":3308,"433":3318,"442":3383,"444":3394,"445":3399,"446":3407,"454":3474,"458":3513,"465":3549,"469":3591,"488":3748,"490":3753,"493":3798,"498":3827,"506":3888,"509":3902,"513":3922,"519":3960,"523":3974,"537":4064,"539":4074,"542":4090},{"31":1956,"36":2069,"39":2079,"40":2126,"43":2138,"52":2206,"53":2207,"54":2212,"56":2224,"63":2286,"65":2297,"67":2334,"70":2381,"71":2386,"84":2507,"86":2521,"87":2525,"97":2574,"105":2642,"106":2656,"107":2659,"110":2673,"111":2678,"112":2705,"114":2728,"116":2764,"117":2784,"125":2857,"128":2869,"134":2912,"143":3019,"147":3032,"150":3057,"151":3060,"155":3119,"156":3121,"157":3123,"159":3148,"166":3175,"168":3182,"173":3277,"174":3281,"177":3337,"178":3349,"185":3404,"194":3472,"196":3491,"198":3500,"199":3501,"204":3542,"205":3559,"211":3585,"216":3622,"219":3630,"221":3640,"222":3644,"225":3647,"229":3706,"240":3788,"245":3831,"246":3834,"250":3884,"252":3895,"254":3925,"256":3934,"257":3937,"259":3941,"260":3948,"264":3991,"268":4018},{"8":2115,"11":2168,"12":2171,"13":2174,"23":2290,"24":2312,"25":2344,"35":2466,"38":2481,"42":2523,"44":2543,"45":2558,"48":2594,"49":2597,"50":2608,"51":2614,"63":2698,"69":2782,"72":2835,"74":2864,"77":2886,"83":2937,"84":2939,"90":3036,"92":3040,"96":3069,"100":3146,"101":3173,"102":3176,"106":3211,"114":3285,"115":3293,"116":3305,"117":3316,"119":3342,"124":3411,"128":3469,"129":3482,"130":3498,"131":3514,"133":3540,"136":3601,"142":3660,"151":3803,"163":3942,"165":3954,"174":4047,"175":4048,"178":4069},{"4":2172,"7":2249,"8":2279,"11":2325,"13":2383,"15":2426,"16":2439,"18":2561,"20":2579,"21":2590,"22":2683,"23":2692,"24":2706,"31":2851,"34":2907,"37":2991,"38":3041,"39":3047,"44":3092,"46":3124,"48":3140,"51":3206,"55":3225,"58":3269,"60":3274,"61":3287,"64":3340,"65":3396,"66":3400,"69":3454,"70":3457,"78":3655,"85":3692,"87":3719,"89":3736,"95":3785,"96":3802,"100":3844,"103":3871,"104":3908,"105":3914,"107":3943,"113":3997,"116":4024,"117":4031,"119":4058,"122":4079},{"2":2106,"3":2110,"4":2151,"6":2258,"9":2313,"11":2337,"14":2393,"16":2431,"18":2475,"23":2551,"25":2636,"26":2674,"27":2696,"29":2807,"30":2811,"31":2812,"33":2837,"34":2871,"35":2919,"36":2928,"39":3022,"40":3068,"41":3083,"42":3091,"43":3105,"45":3134,"48":3240,"49":3244,"50":3280,"52":3304,"54":3315,"56":3325,"59":3425,"61":3459,"62":3460,"64":3502,"67":3551,"69":3587,"74":3639,"76":3683,"78":3717,"80":3792,"82":3921,"83":3930,"86":4053,"88":4071},{"0":2077,"1":2086,"3":2114,"4":2127,"5":2134,"6":2136,"7":2144,"9":2169,"12":2260,"13":2270,"14":2302,"23":2537,"26":2702,"29":2813,"31":2832,"35":3005,"38":3039,"39":3042,"41":3061,"42":3084,"44":3149,"45":3165,"48":3198,"49":3215,"50":3224,"51":3232,"52":3237,"53":3286,"59":3466,"60":3479,"62":3597,"63":3624,"65":3705,"66":3727,"69":3776,"71":3781,"72":3782,"73":3806,"74":3875,"77":3993,"78":3994,"79":4022,"80":4040,"81":4045},{"1":2184,"2":2203,"3":2204,"4":2209,"5":2251,"6":2272,"8":2330,"9":2338,"10":2346,"11":2422,"12":2434,"14":2494,"15":2578,"18":2701,"19":2714,"22":2821,"23":2833,"25":2901,"27":2941,"28":2944,"29":2958,"32":2966,"33":2990,"35":3062,"36":3074,"40":3111,"41":3113,"42":3126,"43":3129,"44":3172,"45":3203,"46":3320,"47":3339,"49":3397,"52":3509,"54":3536,"55":3556,"58":3651,"60":3674,"61":3760,"62":3838,"63":3839,"64":3857,"66":3915,"67":3940},{"0":2074,"3":2219,"7":2315,"8":2369,"9":2409,"15":2545,"17":2581,"18":2587,"19":2610,"22":2691,"24":2710,"25":2751,"29":2824,"30":3007,"31":3077,"33":3095,"37":3238,"40":3256,"41":3258,"42":3264,"43":3310,"44":3314,"49":3503,"52":3595,"53":3678,"54":3686,"56":3822},{"4":2167,"7":2244,"9":2446,"13":2625,"15":2699,"19":2788,"20":2819,"21":2852,"24":2932,"32":3432,"33":3452,"34":3456,"36":3497,"40":3609,"41":3620,"43":3722,"44":3724,"47":3739,"48":3799,"49":3819,"50":3906,"52":3962,"55":4033,"56":4041,"57":4054,"58":4066},{"4":2248,"5":2356,"6":2416,"11":2669,"14":2712,"15":2766,"17":2929,"18":2985,"27":3360,"28":3364,"30":3489,"42":3926,"44":4046},{"1":2095,"6":2392,"7":2477,"9":2493,"10":2506,"16":2697,"20":2972,"23":3516,"26":3848},{"4":2643,"15":3512,"20":3854,"22":3898,"24":4005,"26":4095},{"0":2460,"3":2586,"21":3919,"23":4072},{"2":2449,"3":2527,"5":2797,"7":3099,"14":3900},{"5":2589,"12":3229,"13":3260,"24":3855,"26":4059,"27":4063},{"0":2190,"4":2501,"5":2770},[],[],[],[],[],[]]