[{"0":0,"5":7,"8":10,"12":16,"14":18,"15":19,"16":20,"21":25,"23":29,"26":32,"28":36,"29":39,"32":43,"36":48,"38":50,"39":54,"40":55,"44":61,"45":62,"46":64,"47":65,"52":72,"53":74,"57":81,"59":83,"61":85,"64":89,"65":91,"66":92,"67":93,"69":95,"70":96,"73":103,"75":106,"76":107,"82":114,"84":116,"86":118,"87":119,"89":121,"90":122,"93":125,"95":129,"97":132,"104":142,"106":144,"108":148,"112":155,"116":166,"119":169,"120":170,"121":171,"124":175,"126":177,"128":179,"130":183,"139":196,"141":198,"145":202,"146":204,"147":205,"148":206,"150":208,"154":213,"165":225,"167":227,"168":228,"169":229,"171":231,"175":236,"177":238,"182":245,"184":247,"186":249,"190":254,"192":256,"194":258,"196":261,"198":263,"204":275,"209":288,"215":296,"224":312,"225":313,"229":317,"230":318,"231":319,"235":325,"236":329,"243":338,"247":345,"256":359,"260":364,"263":368,"265":370,"267":373,"269":375,"271":377,"274":381,"276":383,"278":385,"279":387,"281":390,"284":395,"288":401,"289":402,"290":403,"291":405,"293":408,"297":413,"304":423,"308":430,"309":431,"310":432,"312":434,"314":436,"316":440,"317":441,"319":443,"323":450,"324":451,"325":452,"327":454,"337":464,"353":489,"359":1026,"361":1029,"362":1030,"365":1034,"367":1036,"368":1038,"369":1040,"371":1045,"372":1046,"380":1057,"382":1060,"383":1062,"387":1069,"389":1072,"393":1079,"394":1081,"396":1083,"400":1088,"404":1092,"406":1095,"410":1099,"414":1104,"418":1108,"421":1112,"424":1116,"425":1117,"428":1120,"432":1127,"436":1132,"437":1133,"439":1136,"440":1137,"442":1139,"443":1142,"444":1144,"455":1159,"456":1167,"457":1168,"464":1177,"467":1180,"471":1185,"474":1192,"476":1196,"481":1202,"490":1212,"492":1214,"494":1216,"495":1217,"499":1221,"500":1222,"502":1224,"506":1229,"510":1234,"511":1235,"522":1251,"524":1253,"530":1259,"531":1260,"532":1262,"533":1263,"535":1265,"540":1272,"541":1273,"544":1276,"545":1277,"546":1278,"547":1281,"548":1282,"549":1283,"556":1292,"559":1296,"561":1299,"567":1306,"569":1308,"572":1311,"573":1312,"574":1313,"575":1314,"578":1319,"585":1334,"592":1347,"594":1349,"597":1352,"599":1354,"618":1376,"620":1378,"633":1400,"634":1401,"635":1402,"636":1403,"638":1405,"640":1407,"642":1409,"644":1412,"656":1427,"657":1430,"661":1434,"662":1435,"663":1438,"673":1454,"676":1458,"682":1469,"687":1478,"695":1489,"698":1494,"704":1500,"705":1501,"707":1504,"708":1505,"710":1507,"712":1510,"713":1512,"714":1513,"718":1518,"719":2052,"728":2135,"729":2137,"730":2141,"738":2171,"741":2193,"747":2214,"748":2215,"749":2229,"751":2248,"754":2275,"762":2342,"772":2388,"774":2411,"783":2467,"785":2493,"788":2511,"794":2537,"796":2545,"799":2550,"803":2572,"807":2599,"818":2647,"825":2700,"827":2705,"831":2728,"834":2745,"839":2769,"841":2779,"852":2851,"857":2866,"858":2872,"859":2873,"860":2874,"862":2879,"867":2910,"873":2945,"879":2976,"885":3012,"891":3077,"899":3127,"900":3130,"906":3158,"915":3219,"925":3252,"927":3274,"928":3275,"933":3300,"936":3312,"940":3333,"943":3350,"944":3356,"945":3364,"948":3375,"954":3410,"962":3507,"965":3533,"970":3558,"971":3566,"983":3623,"985":3639,"996":3711,"997":3715,"1005":3760,"1006":3791,"1023":3896,"1024":3897,"1026":3905,"1029":3932,"1032":3938,"1037":3958,"1040":3972,"1042":3992,"1046":4022,"1049":4048,"1052":4055,"1054":4060,"1057":4067,"1058":4069},{"4":27,"6":33,"9":38,"12":51,"13":52,"18":66,"24":97,"32":131,"38":157,"39":158,"42":165,"43":173,"48":187,"50":211,"55":253,"57":267,"58":270,"64":285,"74":322,"75":326,"80":340,"95":393,"98":406,"100":416,"101":417,"104":428,"106":438,"116":493,"117":494,"118":496,"119":497,"120":499,"124":505,"129":512,"131":516,"132":518,"133":519,"136":522,"142":537,"145":547,"147":550,"149":552,"151":554,"156":563,"160":571,"163":579,"169":586,"170":587,"171":589,"172":590,"178":598,"180":600,"188":610,"189":612,"195":621,"196":622,"203":637,"204":638,"205":639,"216":653,"222":660,"228":666,"231":674,"233":676,"235":680,"245":702,"253":718,"255":723,"257":725,"259":727,"260":728,"261":730,"262":731,"265":736,"266":737,"267":739,"269":742,"274":751,"275":752,"278":760,"279":762,"289":774,"292":779,"296":785,"297":786,"299":788,"304":796,"308":804,"313":810,"314":811,"317":818,"318":819,"320":823,"323":829,"327":837,"329":841,"333":845,"334":847,"335":848,"336":849,"341":855,"343":858,"345":860,"347":862,"348":863,"352":872,"353":873,"355":878,"360":886,"362":890,"369":903,"372":908,"373":912,"375":916,"379":926,"387":940,"389":945,"391":947,"400":960,"401":961,"404":967,"407":971,"412":977,"414":979,"422":991,"425":998,"428":1003,"434":1011,"436":1016,"438":1019,"442":1033,"443":1037,"446":1042,"447":1048,"448":1052,"449":1059,"453":1068,"458":1094,"460":1109,"462":1122,"464":1126,"465":1130,"466":1140,"469":1149,"470":1153,"475":1162,"476":1164,"484":1191,"485":1194,"487":1206,"488":1228,"489":1231,"490":1238,"497":1284,"502":1318,"503":1320,"508":1330,"510":1335,"514":1340,"518":1380,"519":1381,"520":1385,"542":1464,"545":1483,"549":1511,"553":1522,"558":1529,"564":1537,"565":1538,"569":1545,"571":1551,"575":1561,"580":1575,"583":1579,"587":1583,"590":1596,"592":1598,"593":1600,"595":1602,"597":1606,"599":1608,"603":1617,"604":1618,"605":1619,"608":1622,"609":1623,"614":1629,"615":1630,"616":1631,"617":1632,"618":1633,"619":1635,"622":1643,"623":1648,"624":1649,"628":1659,"631":1663,"632":1664,"636":1670,"637":1671,"641":1677,"644":1682,"645":1685,"648":1690,"655":1699,"659":1709,"662":1713,"666":1719,"677":1742,"678":1745,"679":1746,"683":1753,"684":1754,"686":1758,"688":1762,"691":1770,"693":1778,"696":1782,"702":1794,"703":1795,"705":1799,"710":1805,"711":1806,"712":1807,"715":1811,"717":1813,"719":1815,"720":1819,"722":1821,"725":1824,"730":1830,"731":1832,"734":1837,"735":1838,"738":1847,"739":1848,"742":1855,"743":1856,"745":1859,"748":1862,"749":1863,"762":1888,"763":1889,"765":1891,"766":1894,"767":1896,"769":1898,"771":1902,"775":1908,"776":1912,"786":1934,"790":1938,"797":1955,"803":1968,"807":1973,"811":1979,"812":1980,"817":1988,"820":1992,"821":1993,"827":2003,"829":2006,"832":2010,"833":2011,"835":2013,"837":2016,"845":2030,"849":2035,"850":2039,"869":2106,"870":2128,"876":2160,"881":2178,"885":2191,"886":2195,"891":2201,"897":2228,"902":2254,"903":2266,"912":2322,"913":2325,"917":2359,"921":2374,"922":2381,"924":2393,"926":2407,"931":2427,"935":2462,"938":2486,"943":2504,"944":2506,"948":2529,"951":2543,"953":2553,"955":2578,"957":2586,"958":2601,"965":2635,"966":2642,"972":2681,"975":2693,"988":2744,"989":2751,"991":2770,"992":2771,"1000":2803,"1001":2814,"1004":2820,"1008":2831,"1009":2832,"1011":2846,"1012":2848,"1013":2849,"1014":2852,"1015":2870,"1017":2893,"1023":2919,"1024":2920,"1028":2939,"1042":3051,"1045":3081,"1047":3091,"1055":3141,"1056":3142,"1063":3192,"1068":3214,"1075":3262,"1079":3290,"1080":3306,"1087":3344,"1092":3359,"1099":3406,"1102":3454,"1103":3460,"1110":3484,"1119":3539,"1120":3542,"1124":3586,"1126":3594,"1136":3631,"1140":3664,"1142":3668,"1146":3701,"1147":3704,"1148":3716,"1149":3728,"1152":3733,"1155":3751,"1157":3766,"1160":3783,"1161":3784,"1172":3838,"1177":3874,"1182":3906,"1184":3913,"1192":3960,"1196":3982,"1199":4017,"1202":4021,"1206":4036},{"2":134,"4":151,"8":266,"10":297,"18":503,"19":507,"23":526,"29":538,"34":545,"35":546,"39":564,"44":573,"46":575,"48":582,"49":588,"51":593,"53":602,"56":615,"57":617,"58":624,"59":625,"63":631,"66":646,"67":651,"71":671,"73":673,"78":689,"80":694,"92":720,"94":729,"95":734,"107":782,"108":783,"113":801,"115":809,"116":812,"122":824,"123":826,"127":835,"128":838,"129":839,"131":852,"132":864,"133":865,"135":868,"136":871,"137":874,"138":875,"142":887,"152":919,"154":921,"176":996,"177":997,"178":1004,"179":1009,"185":1043,"188":1163,"191":1237,"193":1317,"194":1324,"200":1474,"203":1486,"206":1523,"209":1540,"211":1548,"212":1549,"221":1568,"225":1573,"230":1587,"236":1599,"238":1611,"242":1616,"244":1638,"245":1639,"249":1646,"250":1647,"255":1657,"256":1658,"257":1662,"258":1666,"260":1672,"262":1683,"263":1684,"264":1686,"265":1687,"266":1695,"269":1704,"272":1715,"273":1717,"274":1720,"275":1721,"280":1732,"281":1734,"283":1744,"289":1763,"293":1769,"294":1771,"296":1774,"303":1788,"304":1790,"308":1816,"314":1839,"315":1840,"316":1843,"317":1844,"321":1851,"322":1852,"324":1867,"325":1868,"327":1874,"328":1875,"330":1877,"331":1878,"332":1879,"333":1881,"337":1895,"338":1899,"345":1924,"346":1925,"347":1926,"351":1933,"354":1941,"359":1952,"361":1959,"363":1962,"371":1983,"378":2020,"379":2021,"384":2036,"386":2038,"395":2089,"397":2100,"404":2124,"406":2138,"408":2147,"413":2187,"414":2192,"417":2202,"424":2245,"429":2289,"434":2330,"443":2377,"446":2400,"449":2421,"451":2425,"458":2456,"466":2479,"478":2562,"484":2594,"496":2674,"503":2692,"505":2707,"508":2742,"510":2747,"518":2791,"522":2813,"526":2856,"527":2857,"533":2914,"538":2956,"539":2958,"542":2987,"544":2990,"550":3036,"565":3156,"566":3157,"573":3220,"580":3258,"583":3280,"592":3322,"598":3354,"600":3368,"601":3369,"607":3413,"609":3434,"610":3435,"614":3457,"621":3516,"624":3536,"629":3565,"633":3593,"634":3595,"638":3621,"648":3689,"649":3690,"654":3752,"661":3769,"664":3777,"671":3845,"673":3857,"676":3875,"679":3885,"681":3920,"683":3954,"686":3964,"693":3996,"694":3998,"696":4023,"698":4029,"700":4040,"702":4073},{"8":555,"9":559,"21":791,"23":877,"27":911,"28":913,"31":982,"37":1050,"39":1269,"46":1593,"51":1679,"53":1701,"55":1724,"58":1740,"72":1954,"74":1996,"82":2081,"85":2110,"88":2127,"89":2129,"103":2257,"116":2327,"117":2328,"120":2339,"126":2386,"129":2401,"133":2433,"134":2437,"137":2465,"139":2507,"144":2544,"148":2564,"150":2577,"156":2622,"160":2654,"173":2784,"181":2888,"184":2902,"185":2906,"186":2923,"188":2938,"196":3000,"198":3006,"206":3059,"210":3076,"214":3107,"218":3148,"221":3179,"224":3208,"226":3241,"230":3256,"233":3279,"238":3352,"240":3385,"245":3402,"250":3432,"254":3447,"255":3451,"262":3562,"264":3574,"268":3589,"269":3598,"271":3605,"272":3616,"279":3652,"285":3710,"293":3761,"294":3771,"295":3776,"299":3809,"302":3839,"303":3843,"304":3847,"305":3868,"307":3886,"322":3983,"323":3984,"324":3999,"328":4031,"329":4041,"330":4044},{"0":634,"2":891,"10":2094,"11":2114,"14":2153,"16":2162,"25":2243,"26":2253,"28":2283,"39":2391,"40":2398,"45":2476,"54":2585,"58":2619,"59":2627,"69":2763,"81":2890,"84":2898,"85":2908,"89":2927,"99":3030,"102":3042,"105":3070,"107":3084,"111":3152,"112":3155,"115":3176,"123":3266,"129":3370,"131":3390,"132":3398,"141":3458,"143":3467,"146":3505,"150":3545,"159":3643,"166":3677,"167":3680,"168":3705,"174":3796,"176":3810,"177":3811,"180":3832,"188":3889,"190":3909,"196":3991,"197":3993},{"1":2091,"2":2093,"5":2101,"6":2125,"7":2231,"9":2252,"11":2288,"14":2303,"16":2352,"25":2516,"29":2567,"30":2570,"31":2573,"32":2587,"35":2669,"42":2859,"44":2889,"57":3128,"63":3222,"71":3338,"74":3416,"77":3431,"122":4010,"123":4014,"125":4054},{"3":2167,"4":2207,"12":2383,"23":2651,"27":2723,"28":2752,"29":2778,"31":2808,"40":2962,"43":3026,"45":3055,"49":3113,"51":3137,"53":3170,"66":3421,"73":3726,"74":3750,"75":3778,"78":3840,"83":3977,"84":4002},{"2":2281,"3":2296,"8":2376,"22":2964,"23":3045,"24":3052,"25":3068,"27":3074,"28":3082,"31":3213,"32":3288,"34":3351,"36":3520,"38":3699,"40":3738},{"0":2056,"3":2279,"5":2362,"12":2863,"13":2871,"14":2895,"17":2984,"18":3165,"20":3395,"26":3488,"29":3607,"33":3819,"34":3914,"36":3923,"37":3929,"38":3939,"40":3976,"41":3978},{"2":2285,"3":2323,"6":2487,"7":2641,"8":2675,"10":2811,"12":2839,"14":2949,"15":2951,"17":3164,"18":3196,"21":3384,"23":3445,"24":3487,"27":3637,"29":3870,"31":3948},{"0":2053,"1":2107,"2":2108,"5":2305,"6":2390,"8":2406,"9":2500,"10":2581,"14":2974,"15":2996,"16":3120,"17":3240,"18":3292,"20":3298,"21":3363,"24":3504,"26":3530,"27":3647,"28":3694,"29":3817,"33":4006,"34":4066},{"0":2219,"2":2505,"3":2531,"5":2657,"7":2713,"8":2758,"9":2817,"11":2886,"14":3188,"15":3229,"21":3526,"22":3543,"25":3739,"26":3799,"27":3805,"28":4000,"30":4072},{"2":2226,"4":2457,"7":2595,"12":2867,"13":2936,"15":2971,"16":2991,"17":3043,"18":3057,"19":3066,"21":3114,"22":3132,"23":3147,"24":3169,"26":3340,"27":3341,"28":3688,"32":3997},{"1":2069,"2":2112,"3":2116,"5":2329,"8":2466,"11":2621,"12":2644,"13":2665,"17":3106,"21":3326,"24":3546,"25":3567,"26":3596,"28":3713},{"0":2072,"2":2428,"4":2508,"7":2822,"10":2965,"12":3086,"14":3209,"22":3800,"26":3974},{"6":2515,"7":2563,"9":2994,"17":3698,"19":3841,"20":3968,"21":4034},{"3":2977,"4":3015},{"11":3980,"12":4075},[2168,2223],[],[]]