[{"0":0,"1":1,"2":3,"3":4,"4":5,"5":7,"6":8,"7":9,"8":10,"9":11,"10":12,"11":13,"12":15,"13":16,"14":17,"15":18,"16":19,"17":22,"18":23,"19":25,"20":26,"21":27,"22":28,"23":29,"24":32,"25":33,"26":34,"27":35,"28":36,"29":37,"30":38,"31":39,"32":41,"33":42,"34":47,"35":48,"36":49,"37":50,"38":51,"39":52,"40":54,"41":55,"42":57,"43":59,"44":60,"45":61,"46":62,"47":63,"48":65,"49":66,"50":68,"51":69,"52":70,"53":71,"54":72,"55":73,"56":74,"57":75,"58":76,"59":77,"60":78,"61":79,"62":80,"63":82,"64":83,"65":84,"66":85,"67":86,"68":88,"69":89,"70":91,"71":92,"72":93,"73":94,"74":95,"75":97,"76":98,"77":99,"78":100,"79":101,"80":102,"81":103,"82":104,"83":107,"84":109,"85":110,"86":111,"87":112,"88":113,"89":114,"90":116,"91":117,"92":120,"93":122,"94":123,"95":124,"96":127,"97":128,"98":129,"99":130,"100":131,"101":132,"102":133,"103":134,"104":135,"105":138,"106":139,"107":140,"108":141,"109":142,"110":143,"111":144,"112":145,"113":146,"114":147,"115":148,"116":149,"117":150,"118":152,"119":155,"120":156,"121":158,"122":160,"123":161,"124":162,"125":163,"126":164,"127":165,"128":166,"129":167,"130":170,"131":172,"132":173,"133":174,"134":176,"135":177,"136":178,"137":179,"138":180,"139":181,"140":185,"141":189,"142":190,"143":191,"144":192,"145":193,"146":194,"147":195,"148":196,"149":197,"150":198,"151":199,"152":200,"153":201,"154":202,"155":203,"156":207,"157":208,"158":209,"159":210,"160":214,"161":215,"162":288,"163":289,"164":290,"165":291,"166":292,"167":294,"168":295,"169":297,"170":298,"171":299,"172":300,"173":301,"174":302,"175":303,"176":305,"177":307,"178":308,"179":310,"180":311,"181":312,"182":313,"183":314,"184":316,"185":318,"186":319,"187":320,"188":321,"189":322,"190":323,"191":324,"192":325,"193":326,"194":327,"195":328,"196":329,"197":330,"198":331,"199":333,"200":334,"201":335,"202":336,"203":337,"204":339,"205":340,"206":344,"207":345,"208":346,"209":347,"210":348,"211":349,"212":350,"213":351,"214":352,"215":353,"216":354,"217":356,"218":357,"219":358,"221":362,"222":363,"223":364,"224":366,"225":367,"226":368,"227":369,"228":370,"229":371,"230":372,"231":373,"232":376,"233":377,"234":378,"235":381,"236":382,"237":383,"238":384,"239":385,"240":386,"241":387,"242":388,"243":389,"244":390,"245":391,"246":393,"247":394,"249":396,"250":397,"251":398,"252":399,"253":400,"254":401,"255":404,"256":405,"257":407,"258":408,"259":409,"260":410,"261":412,"262":414,"263":415,"264":417,"265":418,"266":419,"267":420,"268":421,"269":423,"270":426,"271":427,"272":428,"273":429,"274":430,"275":431,"276":432,"277":433,"278":434,"279":435,"280":437,"281":438,"282":439,"283":440,"284":441,"285":444,"286":445,"287":446,"288":447,"289":449,"290":450,"291":452,"292":453,"293":455,"294":456,"295":457,"296":458,"297":459,"298":463,"299":464,"300":465,"301":466,"302":469,"303":470,"304":472,"305":473,"306":474,"307":475,"308":476,"309":479,"310":480,"311":482,"312":484,"313":485,"314":487,"315":488,"316":490,"317":491,"318":492,"319":493,"320":494,"321":495,"322":496,"323":497,"324":498,"325":500,"326":501,"327":502,"328":503,"329":504,"330":589,"331":592,"332":594,"333":597,"334":599,"335":605,"336":607,"337":612,"338":613,"339":616,"340":617,"341":625,"342":632,"343":633,"344":635,"345":644,"346":645,"347":648,"348":649,"349":650,"350":651,"351":653,"352":654,"353":655,"354":659,"355":661,"356":663,"357":664,"358":675,"359":681,"360":683,"361":684,"362":687,"363":689,"364":690,"365":691,"366":697,"367":711,"368":714,"369":717,"370":727,"371":732,"372":733,"373":735,"374":739,"375":745,"376":746,"377":751,"378":755,"379":760,"380":767,"381":770,"382":771,"383":778,"384":779,"385":780,"386":784,"387":788,"388":792,"389":794,"390":797,"391":799,"392":800,"393":802,"394":806,"395":814,"396":816,"397":817,"398":821,"399":822,"400":823,"401":826,"402":828,"403":829,"404":832,"405":834,"406":841,"407":846,"408":847,"409":849,"410":853,"411":864,"412":867,"413":878,"414":883,"415":887,"416":888,"417":893,"418":900,"419":902,"420":906,"421":908,"422":913,"423":922,"424":924,"425":928,"426":931,"427":935,"428":936,"429":947,"430":950,"431":957,"432":961,"433":967,"434":970,"435":978,"436":984,"437":989,"438":995,"439":996,"440":999,"441":1003,"442":1005,"443":1013,"444":1014,"445":1018,"446":1023,"447":1026,"448":1041,"449":1048,"450":1049,"451":1051,"452":1055,"453":1059,"454":1063,"455":1064,"456":1068,"457":1072,"458":1073,"459":1074,"460":1075,"461":1077,"462":1080,"463":1083,"464":1090,"465":1091,"466":1092,"467":1102,"468":1103,"469":1105,"470":1106,"471":1111,"472":1113,"473":1121,"474":1122,"475":1124,"476":1125,"477":1130,"478":1132,"479":1133,"480":1134,"481":1138},[6,14,20,21,24,30,31,40,43,44,46,53,56,58,64,67,81,87,90,96,105,106,108,115,119,121,125,126,136,137,151,153,154,157,159,168,169,171,175,182,183,184,187,188,204,205,206,211,212,213,216,217,220,221,222,225,226,227,228,229,230,231,234,235,236,237,238,239,240,245,246,247,248,249,250,251,252,253,254,256,259,261,264,265,266,267,269,270,271,273,275,277,278,279,280,282,283,286,287,293,296,304,306,309,315,332,338,341,342,343,355,360,361,365,375,379,380,392,402,403,406,411,413,416,422,424,425,436,443,448,454,460,461,462,467,468,471,477,481,486,489,499,505,506,508,510,512,513,514,515,517,519,520,522,524,525,526,527,530,531,532,534,535,537,538,541,542,543,544,545,546,548,549,550,551,552,553,554,555,557,558,560,561,562,566,567,568,569,570,576,577,578,579,581,590,595,598,604,610,611,618,619,620,622,624,628,630,634,643,658,662,666,667,670,672,673,674,677,679,680,685,695,699,701,704,710,712,715,716,719,720,722,723,726,737,752,754,763,772,773,775,776,777,781,787,795,801,803,804,809,815,820,824,827,830,838,844,854,861,869,875,879,882,885,886,894,897,898,899,901,905,907,911,912,914,917,918,920,921,923,925,929,932,934,938,939,949,952,960,962,963,964,966,969,979,986,987,990,992,993,1000,1001,1008,1011,1022,1024,1027,1030,1031,1033,1034,1035,1039,1040,1042,1050,1056,1062,1065,1066,1070,1071,1084,1085,1086,1088,1089,1093,1096,1098,1099,1101,1110,1126,1128,1131,1136,1137,1139,1143,1147,1148,1150],[2,118,186,218,219,223,224,232,233,242,243,244,257,258,260,262,263,268,272,274,276,281,284,285,317,442,451,478,483,509,511,516,518,521,523,528,529,533,536,539,540,547,556,559,563,564,565,572,573,574,582,584,593,600,602,608,615,627,629,640,646,668,676,682,686,688,694,698,700,702,713,718,721,725,731,738,741,744,750,768,769,789,790,819,831,840,845,852,858,863,866,868,871,876,880,881,889,892,903,926,927,933,937,942,945,946,953,959,968,974,977,980,985,994,997,1002,1004,1016,1029,1037,1044,1046,1057,1067,1078,1081,1095,1108,1112,1116,1117,1141,1142,1144,1149],[45,241,255,374,507,575,623,626,631,637,639,641,657,660,669,692,703,705,706,728,736,742,743,747,748,757,758,774,782,785,786,791,798,805,811,818,839,856,870,873,884,896,916,940,955,972,982,1010,1015,1019,1061,1079,1097,1104,1107,1109,1114,1115,1127,1140,1145],[571,580,587,591,596,601,606,614,621,730,764,766,808,848,850,859,860,865,895,919,930,943,956,958,981,991,1007,1012,1020,1043,1045,1087,1120,1135,1146],[638,647,652,665,707,729,761,796,825,842,904,910,941,951,983,1028,1047,1054,1082,1100,1119,1151],[585,588,762,813,855,857,874,971,975,1032,1052,1060],{"0":636,"1":696,"2":759,"4":833,"5":872,"6":1009,"7":1025,"8":1036,"9":1058,"10":1094},[603,749,835,851,862,890,965,973,976],[656,709,740,756,765,807,843,915,948,1021,1038],[678,693,724,836,944,954,1076],[583,586,671,810,988,998,1069,1123],[642,708,812,877,1017,1053],[734,793,891,909],[609,837],[753],[1006,1129]]