[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":6,"7":9,"8":11,"9":13,"10":14,"11":15,"12":17,"13":18,"14":20,"15":21,"16":22,"17":24,"18":25,"19":27,"20":29,"21":30,"22":31,"23":33,"24":34,"25":36,"26":40,"27":42,"28":44,"29":45,"30":46,"31":47,"32":50,"33":52,"34":53,"35":54,"36":55,"37":56,"38":57,"39":288,"40":289,"41":290,"42":291,"43":292,"44":294,"45":295,"46":297,"47":298,"48":299,"49":300,"50":303,"51":304,"52":305,"53":307,"54":309,"55":310,"56":311,"57":312,"58":313,"59":314,"61":317,"62":318,"63":319,"64":320,"65":321,"66":322,"67":323,"68":324,"69":325,"70":326,"71":333,"72":334,"73":336,"74":337,"75":338,"76":340,"77":342,"78":344,"79":345,"80":346,"81":588,"82":592,"83":604,"84":631,"85":640,"86":647,"87":660,"88":682,"89":707,"90":720,"91":721,"92":724,"93":759,"94":761,"95":765,"96":816,"97":825,"98":827,"99":830,"100":831,"101":833,"102":837,"103":867,"104":875,"105":880,"106":888,"107":890,"108":936,"109":939,"110":947,"111":960,"112":983,"113":996,"114":999,"115":1003,"116":1007,"117":1020,"118":1032,"119":1054,"120":1061,"121":1081,"122":1083,"123":1104,"124":1109,"125":1114,"126":1116,"127":1123,"128":1143,"129":1150},{"0":7,"1":16,"2":19,"3":23,"4":26,"5":28,"6":35,"7":37,"8":39,"9":49,"10":51,"11":62,"12":63,"13":64,"14":66,"15":67,"16":68,"17":69,"18":71,"19":72,"20":75,"21":77,"22":79,"23":82,"24":83,"25":84,"26":86,"27":87,"28":89,"29":91,"30":92,"31":93,"32":94,"33":99,"34":101,"35":102,"36":104,"37":105,"38":106,"39":109,"40":110,"41":114,"42":115,"43":116,"44":119,"45":293,"46":296,"47":302,"48":306,"49":308,"50":315,"51":328,"52":329,"53":335,"54":339,"55":341,"56":343,"57":347,"58":349,"59":351,"60":352,"61":353,"62":354,"63":356,"64":357,"65":358,"66":359,"67":361,"68":362,"69":363,"70":365,"71":366,"72":368,"73":370,"74":372,"75":373,"76":374,"77":375,"78":376,"80":381,"81":383,"82":387,"83":390,"84":395,"85":400,"86":402,"87":403,"88":406,"89":407,"90":578,"91":580,"92":581,"93":589,"94":597,"95":610,"96":612,"97":617,"98":622,"99":627,"100":634,"101":635,"102":654,"103":658,"104":668,"105":673,"106":680,"107":683,"108":706,"109":723,"110":726,"111":732,"112":733,"113":736,"114":741,"115":742,"116":745,"117":746,"118":776,"119":784,"120":793,"121":794,"122":807,"123":823,"124":836,"125":839,"126":841,"127":854,"128":865,"129":877,"130":887,"131":899,"132":909,"133":922,"134":930,"135":937,"136":946,"137":952,"138":954,"139":961,"140":976,"141":981,"142":987,"143":1018,"144":1024,"145":1030,"146":1041,"147":1042,"148":1071,"149":1096,"150":1099,"151":1101,"152":1115,"153":1122,"154":1128,"155":1138},[5,10,38,41,43,58,59,60,61,85,98,107,117,121,124,125,126,128,129,130,131,139,141,142,143,144,145,146,147,149,150,152,153,155,159,161,163,168,169,170,171,174,180,184,301,330,331,350,355,364,367,371,380,384,397,399,408,411,412,413,414,415,416,417,418,419,420,422,425,427,428,430,431,432,433,434,438,439,441,442,449,451,452,453,455,456,463,470,471,584,586,595,596,598,606,613,614,632,638,648,663,666,672,675,688,690,714,716,727,743,758,774,779,787,790,795,797,808,809,812,814,840,852,855,863,881,885,896,906,910,911,924,926,933,955,956,959,978,979,988,989,997,1006,1022,1036,1043,1052,1053,1073,1074,1077,1094,1095,1130,1144],{"0":12,"1":32,"2":48,"3":65,"4":70,"5":74,"6":76,"7":78,"8":80,"9":81,"10":88,"11":90,"12":95,"13":96,"14":97,"15":103,"16":111,"17":112,"18":113,"19":118,"20":120,"21":123,"22":127,"23":136,"24":137,"25":138,"26":140,"27":151,"28":156,"29":157,"30":164,"31":173,"32":178,"33":181,"34":183,"35":189,"36":192,"37":193,"39":195,"40":198,"41":201,"42":208,"45":213,"46":215,"47":216,"48":225,"49":239,"50":240,"51":242,"52":327,"53":348,"54":360,"55":369,"56":382,"57":386,"58":388,"59":391,"60":394,"61":398,"62":405,"63":429,"64":437,"65":443,"66":447,"67":448,"68":454,"69":457,"70":458,"71":460,"72":461,"73":462,"74":464,"75":465,"76":469,"77":474,"78":478,"79":480,"80":481,"81":483,"82":484,"83":488,"84":490,"85":492,"86":493,"87":498,"88":499,"89":501,"90":502,"91":503,"92":504,"93":505,"94":515,"95":521,"96":522,"97":524,"98":525,"99":528,"100":530,"101":582,"102":594,"103":601,"104":629,"105":633,"106":637,"107":653,"108":655,"109":662,"110":667,"111":670,"112":671,"113":681,"114":689,"115":693,"116":695,"117":704,"118":717,"119":748,"120":755,"121":763,"122":783,"123":788,"124":791,"125":799,"126":822,"127":824,"128":829,"129":835,"130":848,"131":870,"132":889,"133":891,"134":903,"135":914,"136":928,"137":940,"138":941,"139":949,"140":950,"141":957,"142":968,"143":980,"144":995,"145":1008,"146":1015,"147":1025,"148":1028,"149":1031,"150":1044,"151":1055,"152":1058,"153":1084,"154":1110,"155":1126,"156":1131,"157":1137,"158":1140,"159":1149},{"0":73,"1":100,"2":108,"3":122,"4":132,"5":133,"6":148,"7":154,"8":158,"9":160,"10":162,"11":166,"12":176,"13":177,"14":179,"15":185,"16":191,"17":203,"18":205,"19":206,"20":207,"21":214,"22":218,"23":219,"24":223,"25":226,"26":228,"27":231,"28":232,"29":235,"30":237,"31":243,"32":253,"33":254,"34":255,"35":256,"36":258,"37":259,"38":260,"39":261,"40":262,"41":264,"42":265,"43":266,"44":267,"45":274,"46":276,"47":281,"48":282,"49":283,"50":285,"51":286,"52":332,"53":378,"54":379,"55":393,"56":401,"57":404,"58":409,"59":410,"60":421,"61":423,"62":436,"63":440,"64":444,"65":445,"66":467,"67":468,"68":472,"69":475,"70":476,"71":479,"72":482,"73":486,"74":491,"75":495,"76":500,"77":507,"78":509,"79":511,"80":514,"81":523,"82":529,"83":531,"84":543,"85":550,"86":551,"88":555,"89":557,"90":569,"91":570,"92":571,"93":572,"94":593,"95":602,"96":603,"97":615,"98":644,"99":645,"100":684,"101":700,"102":729,"103":734,"104":744,"105":749,"106":750,"107":762,"108":782,"109":800,"110":805,"111":806,"112":813,"113":818,"114":821,"115":832,"116":842,"117":857,"118":859,"119":873,"120":884,"121":902,"122":931,"123":932,"124":943,"125":945,"126":953,"127":966,"128":969,"129":971,"130":973,"131":977,"132":982,"133":991,"134":1005,"135":1010,"136":1023,"137":1057,"138":1060,"139":1063,"140":1064,"141":1070,"142":1082,"143":1088,"144":1119,"145":1121,"146":1135},[134,135,175,182,186,187,190,196,199,209,212,220,227,230,234,238,241,248,257,269,271,278,279,385,389,424,435,446,450,466,473,477,485,487,497,510,512,517,519,520,526,538,539,544,546,548,553,556,563,575,585,599,607,609,611,625,630,642,646,656,659,674,686,691,694,697,699,702,718,731,735,737,764,766,801,819,828,849,853,856,858,861,864,871,874,905,934,962,965,967,984,992,1000,1001,1035,1046,1092,1127,1129,1136],[167,172,188,197,200,202,204,217,222,224,229,233,244,246,249,250,251,268,272,273,277,280,284,287,392,396,459,489,494,496,506,513,518,527,533,536,542,549,552,558,559,560,562,565,567,573,577,583,591,616,618,619,623,626,641,651,692,715,722,740,770,773,792,796,803,804,810,846,878,892,893,915,929,993,1011,1019,1040,1059,1067,1072,1076,1100],[165,221,236,245,247,252,263,270,275,426,508,516,532,534,535,537,540,541,545,547,564,566,568,574,608,621,628,652,678,687,713,777,802,845,847,850,851,886,897,913,916,944,958,972,1009,1012,1026,1049,1051,1066,1075,1093,1117,1118,1146],[561,576,587,605,677,679,705,711,712,725,754,838,860,869,872,917,919,920,921,925,935,938,990,1014,1037,1045,1047,1056,1068,1087,1090,1103,1105,1113,1132,1141,1148],[636,639,649,650,657,661,739,767,768,780,785,789,862,907,912,927,975,1004,1038,1086,1111,1120,1125,1145],[624,664,709,747,751,753,778,834,866,883,895,904,923,942,963,1033,1069,1080,1089,1091,1097,1124,1134],[669,756,772,798,815,894,951,985,1002,1016,1017,1048,1062,1079,1102,1139],[643,696,703,710,719,771,908,1013,1021,1050,1065,1085,1107,1112],[579,665,676,701,757,781,786,817,820,876,882,964,998,1029,1039,1078,1098,1133,1147],[590,600,620,685,708,728,730,752,760,775,826,879,898,900,986,994,1027],[738,843,868,1034,1108,1151],[769,970,974,1142],[918,948,1106],[698,844,901],[811]]