[{"0":0,"1":2,"2":4,"3":8,"4":9,"5":10,"6":11,"7":13,"8":14,"9":15,"10":17,"11":18,"12":20,"13":22,"14":23,"15":24,"16":26,"17":27,"18":28,"19":29,"20":31,"21":32,"22":34,"23":36,"24":37,"27":40,"28":41,"29":44,"30":45,"31":47,"32":50,"33":51,"34":53,"35":54,"36":55,"37":57,"38":58,"39":60,"40":61,"41":66,"42":67,"43":68,"44":70,"45":73,"46":75,"47":76,"48":77,"49":78,"50":79,"51":80,"52":82,"53":83,"54":86,"55":87,"56":88,"57":90,"58":91,"59":93,"60":95,"61":96,"62":97,"63":98,"64":99,"65":288,"66":289,"67":290,"68":291,"69":294,"70":295,"71":296,"72":297,"73":298,"74":299,"75":300,"76":301,"77":303,"78":306,"79":308,"80":310,"81":311,"82":312,"83":315,"84":316,"85":317,"86":318,"87":319,"89":321,"90":322,"91":323,"92":324,"93":325,"94":326,"95":327,"96":328,"97":329,"98":332,"99":333,"100":334,"101":335,"102":336,"103":337,"104":338,"105":341,"106":343,"107":344,"108":345,"109":346,"110":348,"111":351,"112":354,"113":355,"114":357,"115":360,"116":361,"117":362,"119":364,"120":365,"121":366,"122":368,"123":369,"124":370,"125":373,"126":375,"127":376,"128":377,"129":379,"130":380,"131":383,"132":384,"133":385,"134":387,"135":578,"136":587,"137":598,"138":601,"139":608,"140":610,"141":611,"142":628,"143":632,"144":636,"145":641,"146":652,"147":656,"148":659,"149":663,"150":664,"151":666,"152":669,"153":673,"154":676,"155":689,"156":694,"157":719,"158":721,"159":723,"160":726,"161":734,"162":738,"163":740,"164":741,"165":752,"166":756,"167":762,"168":766,"169":771,"170":773,"171":780,"172":787,"173":795,"174":816,"175":820,"176":824,"177":825,"178":844,"179":852,"180":862,"181":869,"182":870,"183":876,"184":878,"185":888,"186":893,"187":902,"188":903,"189":904,"190":910,"191":911,"192":915,"193":917,"194":919,"195":921,"196":926,"197":927,"198":929,"199":935,"200":942,"201":945,"202":947,"203":948,"204":949,"205":952,"206":963,"207":972,"208":977,"209":978,"210":980,"211":989,"212":992,"213":993,"214":1000,"215":1001,"216":1003,"217":1005,"218":1010,"219":1011,"220":1012,"221":1018,"222":1021,"223":1031,"224":1039,"225":1042,"226":1049,"227":1055,"228":1067,"229":1074,"230":1079,"231":1095,"232":1099,"233":1104,"234":1116,"235":1126,"236":1129,"237":1143},[1,3,6,7,12,19,21,25,30,35,42,43,46,48,49,52,56,59,63,64,65,69,71,81,89,92,102,103,108,111,114,115,118,121,125,126,127,128,129,130,131,133,134,135,136,137,138,139,142,143,144,146,148,149,151,152,153,154,155,159,161,163,164,165,167,168,170,176,180,183,186,188,191,193,196,201,206,208,212,213,214,217,223,292,293,302,304,305,307,309,313,314,330,331,339,340,342,350,352,353,356,358,359,367,372,381,382,389,390,392,395,397,398,400,404,406,408,409,410,411,415,417,420,421,423,428,438,439,441,443,446,447,449,450,451,456,458,459,460,461,463,469,470,481,482,484,486,487,488,491,495,497,501,502,503,507,508,509,511,513,514,591,593,594,597,600,604,606,614,616,622,624,625,627,631,634,639,642,647,650,655,658,661,662,681,684,687,707,715,716,720,722,725,727,732,744,745,746,748,754,758,759,761,764,767,783,785,790,797,812,813,818,831,834,835,848,856,860,865,866,874,880,882,885,890,896,897,900,901,906,907,930,937,951,954,955,957,962,976,984,990,997,999,1007,1008,1015,1023,1025,1027,1029,1032,1045,1046,1047,1051,1057,1059,1060,1071,1085,1086,1088,1094,1102,1106,1113,1118,1120,1121,1124,1131,1133,1137,1140],{"0":5,"1":16,"2":33,"3":62,"4":72,"5":74,"6":84,"7":85,"8":94,"9":100,"10":104,"11":105,"12":107,"13":109,"14":112,"15":113,"16":116,"17":117,"18":119,"19":120,"20":122,"21":123,"22":124,"23":132,"24":140,"25":141,"26":145,"27":147,"28":156,"29":158,"30":160,"31":162,"32":166,"33":169,"34":171,"35":172,"36":173,"37":174,"38":175,"39":177,"40":179,"41":181,"42":182,"43":184,"44":185,"45":190,"46":194,"47":195,"48":197,"49":198,"50":200,"51":203,"52":204,"53":205,"54":207,"55":211,"56":215,"57":218,"58":219,"59":221,"60":222,"61":224,"62":227,"63":231,"64":233,"65":235,"66":237,"67":238,"68":239,"69":252,"70":253,"71":254,"72":255,"73":257,"74":258,"75":259,"76":263,"77":268,"78":269,"79":271,"80":281,"81":286,"82":287,"83":347,"84":349,"85":371,"86":374,"87":378,"88":386,"89":391,"90":393,"91":394,"92":399,"93":401,"94":403,"95":405,"96":407,"97":412,"98":413,"99":414,"100":418,"101":419,"102":424,"103":426,"104":427,"105":430,"106":431,"107":432,"108":435,"109":436,"110":440,"111":442,"112":444,"113":445,"114":448,"115":454,"116":455,"117":457,"118":462,"119":464,"120":465,"121":466,"122":468,"123":471,"124":472,"125":474,"126":476,"127":477,"128":478,"129":480,"130":483,"131":485,"132":489,"133":490,"134":492,"135":493,"136":494,"137":498,"138":504,"139":505,"140":510,"141":512,"142":519,"143":521,"144":524,"145":530,"146":531,"147":532,"148":538,"149":539,"150":541,"151":542,"154":548,"155":549,"156":551,"157":560,"158":561,"159":565,"160":566,"161":567,"162":569,"163":579,"164":583,"165":586,"166":588,"167":589,"168":596,"169":602,"170":613,"171":620,"172":621,"173":623,"174":637,"175":644,"176":648,"177":649,"178":660,"179":671,"180":672,"181":677,"182":682,"183":691,"184":696,"185":698,"186":711,"187":714,"188":749,"189":763,"190":774,"191":777,"192":779,"193":792,"194":794,"195":798,"196":800,"197":804,"198":809,"199":819,"200":822,"201":839,"202":840,"203":850,"204":851,"205":868,"206":871,"207":881,"208":883,"209":914,"210":918,"211":932,"212":934,"213":936,"214":939,"215":941,"216":953,"217":959,"218":969,"219":970,"220":979,"221":1020,"222":1026,"223":1043,"224":1050,"225":1056,"226":1061,"227":1062,"228":1063,"229":1064,"230":1065,"231":1066,"232":1075,"233":1082,"234":1087,"235":1092,"236":1096,"237":1108,"238":1109,"239":1122,"240":1135,"241":1136,"242":1144,"243":1148,"244":1151},{"0":101,"1":106,"2":150,"3":157,"4":178,"5":187,"6":189,"7":192,"8":199,"9":209,"10":210,"11":220,"12":225,"13":226,"14":232,"15":234,"16":236,"17":241,"18":242,"19":243,"20":247,"21":248,"22":249,"23":250,"24":251,"25":260,"26":261,"27":262,"28":264,"29":267,"30":270,"31":272,"32":274,"33":275,"34":276,"35":279,"36":280,"37":283,"38":284,"39":285,"40":388,"41":396,"42":416,"43":422,"44":425,"45":429,"46":433,"47":434,"48":437,"49":452,"50":453,"51":467,"52":473,"53":475,"54":479,"55":496,"56":499,"57":500,"58":506,"59":515,"60":520,"61":522,"62":525,"63":526,"64":533,"65":534,"66":536,"67":537,"68":540,"69":543,"70":545,"71":546,"72":550,"73":553,"74":555,"75":556,"76":557,"77":559,"78":562,"79":563,"80":564,"81":572,"82":573,"83":574,"85":577,"86":581,"87":582,"88":590,"89":595,"90":599,"91":603,"92":630,"93":645,"94":654,"95":668,"96":670,"97":674,"98":679,"99":683,"100":700,"101":702,"102":712,"103":713,"104":724,"105":742,"106":751,"107":757,"109":768,"110":769,"111":772,"112":775,"113":789,"114":799,"115":802,"116":803,"117":805,"118":806,"119":807,"120":815,"121":821,"122":826,"123":828,"124":832,"125":833,"126":836,"127":838,"128":841,"129":842,"130":849,"131":853,"132":854,"133":863,"134":864,"135":872,"136":875,"137":887,"138":898,"139":925,"140":928,"141":931,"142":933,"143":940,"144":958,"145":981,"146":987,"147":988,"148":991,"149":994,"150":995,"151":1006,"152":1013,"153":1019,"154":1024,"155":1028,"156":1044,"157":1052,"158":1077,"159":1097,"160":1103,"161":1111,"162":1130,"163":1139,"164":1142},{"0":110,"1":202,"2":216,"3":228,"4":230,"5":240,"6":244,"7":245,"8":246,"9":265,"10":273,"11":277,"12":278,"13":402,"14":516,"15":517,"16":518,"17":523,"18":527,"19":535,"20":552,"21":554,"22":558,"23":568,"24":571,"25":575,"26":580,"27":609,"28":612,"29":617,"30":626,"31":667,"32":675,"33":688,"34":693,"35":699,"36":703,"37":705,"38":708,"39":730,"40":735,"41":737,"42":739,"44":755,"45":782,"46":784,"47":786,"48":791,"49":801,"50":810,"51":811,"52":814,"53":817,"54":827,"55":829,"56":843,"57":846,"58":857,"59":861,"60":891,"61":908,"62":909,"63":924,"64":943,"65":956,"66":961,"67":973,"68":986,"69":1017,"70":1035,"71":1038,"72":1041,"73":1058,"74":1068,"75":1069,"76":1070,"77":1076,"78":1083,"79":1084,"80":1090,"81":1091,"82":1115,"83":1119,"84":1127,"85":1132,"86":1138,"87":1141,"88":1147},[229,256,266,282,528,529,570,592,615,635,638,646,657,665,680,695,701,718,728,743,747,765,770,793,830,858,859,867,873,886,892,895,899,912,938,950,960,968,971,974,996,998,1016,1037,1040,1048,1054,1078,1080,1112,1114,1123,1125,1149],[584,585,605,640,643,651,653,686,710,717,733,750,788,808,847,855,894,916,920,922,966,983,1053,1081,1089,1100,1105,1107,1117,1128,1134,1146],[607,618,633,678,690,697,823,837,877,884,905,913,944,946,967,982,1002,1004,1014,1022,1030,1033,1110],[692,704,706,729,776,796,965,975,985,1034,1072],[685,709,736,781,845,923,1098,1150],[629,731,879,1036,1073,1145],[1093],[778],[964],[619,889,1009],[1101]]