[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":8,"6":9,"7":31,"8":32,"9":34,"10":41,"11":42,"12":44,"13":46,"14":51,"15":53,"16":56,"17":57,"18":58,"19":62,"20":63,"21":64,"22":65,"23":82,"24":89,"25":93,"26":95,"27":96,"28":98,"29":100,"30":105,"31":107,"34":110,"38":114,"39":115,"40":116,"43":120,"46":123,"47":143,"48":144,"55":164,"56":165,"58":167,"60":169,"61":170,"64":178,"65":181,"66":182,"67":187,"68":188,"69":233,"70":238,"71":242,"72":243,"73":245,"74":247,"75":248,"76":253,"77":254,"78":255,"79":285,"80":286,"81":288,"82":289,"83":290,"84":293,"85":295,"86":299,"87":305,"88":311,"89":314,"90":318,"91":319,"92":324,"93":329,"94":330,"95":333,"96":458,"97":460,"98":461,"99":462,"100":463,"101":464,"102":465,"103":466,"104":467,"105":468,"106":486,"107":488,"108":490,"109":493,"110":494,"111":498,"112":503,"113":512,"114":516,"115":517,"116":518,"117":520,"118":521,"119":522,"120":554,"121":565,"122":569,"123":573,"124":574,"125":576,"126":579,"127":584,"128":586,"129":587,"130":588,"131":589,"132":590,"133":591,"134":592,"135":616,"136":618,"137":622,"138":627,"139":629,"140":631,"141":635,"142":637,"143":640,"144":641,"145":660,"146":663,"147":705,"148":715,"149":716,"150":717,"151":720,"152":721,"153":725,"154":727,"155":728,"156":742,"157":744,"158":745,"159":750,"160":755,"161":758,"162":760,"163":764,"164":767,"165":769,"166":770,"167":817,"168":822,"169":824,"170":830,"171":834,"172":836,"173":848,"174":851,"175":852,"176":853,"177":855,"178":858,"179":859,"180":861,"181":862,"182":863,"183":864,"184":868,"185":869,"186":886,"187":888,"188":889,"189":895,"190":896,"191":898,"192":899,"193":902,"194":905,"195":906,"196":910,"197":911,"198":914,"199":915,"200":918,"201":919,"202":920,"203":921,"204":922,"205":923,"206":925,"207":943,"208":945,"209":948,"210":961,"211":966,"212":967,"213":968,"214":969,"215":970,"216":971,"217":974,"218":975,"219":976,"220":977,"221":979,"222":981,"223":982,"224":983,"225":997,"226":998,"227":1000,"228":1005,"229":1006,"230":1007,"231":1009,"232":1010,"233":1012,"234":1014,"235":1017,"236":1021},{"0":5,"1":6,"2":7,"3":10,"4":11,"5":12,"6":13,"7":14,"8":15,"9":16,"10":19,"11":20,"12":28,"13":29,"14":39,"15":50,"16":52,"17":54,"18":59,"19":60,"20":61,"21":66,"22":68,"23":69,"24":71,"25":83,"26":86,"27":88,"28":92,"29":94,"30":99,"31":101,"32":104,"33":106,"35":125,"36":126,"38":130,"39":131,"40":132,"42":148,"43":159,"45":180,"46":183,"47":185,"48":186,"49":190,"50":191,"51":194,"52":196,"53":197,"54":198,"55":199,"56":201,"57":202,"58":224,"59":226,"60":227,"61":229,"62":230,"63":231,"64":232,"65":234,"66":236,"67":246,"68":249,"69":251,"70":256,"71":260,"72":268,"73":274,"74":294,"75":296,"76":300,"77":306,"78":309,"79":312,"80":320,"81":321,"82":322,"83":327,"84":343,"85":359,"86":374,"87":387,"88":389,"89":390,"90":391,"91":392,"92":393,"93":395,"94":396,"95":397,"96":398,"97":400,"98":402,"99":404,"100":405,"101":407,"102":409,"103":415,"104":422,"105":423,"106":424,"107":425,"108":427,"109":430,"110":434,"111":440,"112":445,"113":446,"114":447,"115":454,"116":455,"117":469,"118":471,"119":473,"120":475,"121":476,"122":477,"123":478,"124":479,"125":480,"126":481,"127":482,"128":492,"129":495,"130":499,"131":500,"132":501,"133":504,"134":509,"135":511,"136":513,"137":514,"138":524,"139":525,"140":526,"141":527,"142":528,"143":529,"144":531,"145":539,"146":551,"147":559,"148":564,"149":567,"150":572,"151":593,"152":605,"153":613,"154":615,"155":617,"156":619,"157":623,"158":630,"159":634,"160":636,"161":638,"163":642,"164":643,"166":648,"167":662,"168":664,"169":665,"170":667,"171":668,"172":670,"173":694,"174":703,"175":714,"176":718,"177":719,"178":724,"179":730,"180":731,"181":734,"182":736,"183":737,"184":748,"185":753,"186":754,"187":757,"188":765,"189":772,"190":776,"191":781,"192":787,"193":794,"194":798,"195":800,"196":801,"197":802,"198":805,"199":815,"200":827,"201":828,"202":829,"203":831,"204":847,"205":860,"206":865,"207":866,"208":867,"209":870,"210":871,"211":872,"212":874,"213":875,"214":876,"215":879,"216":890,"217":891,"218":892,"219":897,"220":900,"221":901,"222":908,"223":909,"224":912,"225":916,"226":926,"227":932,"228":933,"229":935,"230":936,"231":941,"232":944,"233":949,"234":950,"235":954,"236":956,"237":958,"238":963,"239":965,"240":980,"241":986,"242":987,"243":988,"244":989,"245":991,"246":996,"247":999,"248":1001,"249":1003,"250":1004,"251":1018,"252":1019,"253":1020,"254":1022,"255":1023},{"0":18,"1":21,"2":22,"3":24,"4":27,"5":30,"6":35,"7":43,"8":47,"9":48,"10":49,"11":55,"12":67,"13":70,"14":72,"15":75,"16":76,"17":77,"18":78,"19":79,"20":80,"27":138,"28":139,"29":140,"30":141,"31":142,"33":162,"34":171,"35":179,"36":184,"37":189,"38":192,"39":193,"40":195,"41":200,"42":203,"43":204,"44":205,"45":206,"46":207,"47":208,"48":209,"49":210,"50":211,"51":212,"52":214,"53":215,"54":216,"55":217,"56":219,"57":220,"58":223,"59":239,"60":240,"61":252,"62":257,"63":262,"64":263,"65":270,"66":271,"67":273,"68":278,"69":281,"70":282,"71":284,"72":298,"73":301,"74":302,"75":304,"76":308,"77":316,"78":323,"79":325,"80":332,"81":334,"82":338,"83":339,"84":341,"85":342,"86":344,"87":345,"88":346,"89":347,"90":349,"91":350,"92":351,"93":357,"94":364,"95":367,"96":372,"97":382,"98":385,"99":386,"100":388,"101":394,"102":408,"103":410,"104":411,"105":412,"106":413,"107":414,"108":416,"109":418,"110":426,"111":428,"112":433,"113":435,"114":437,"115":438,"116":442,"117":451,"118":453,"119":456,"120":470,"121":472,"122":484,"123":487,"124":489,"125":491,"126":505,"127":506,"128":508,"129":510,"130":530,"131":532,"132":536,"133":538,"134":542,"135":566,"136":575,"137":578,"138":594,"139":596,"140":597,"141":598,"142":599,"143":600,"144":602,"145":603,"146":604,"147":612,"148":614,"149":620,"150":625,"151":626,"152":628,"153":632,"154":633,"155":644,"156":645,"158":649,"159":650,"160":651,"161":652,"162":653,"163":654,"164":656,"165":658,"166":669,"167":672,"168":680,"169":681,"170":691,"171":711,"172":723,"173":732,"174":738,"175":746,"176":751,"177":752,"178":756,"179":762,"180":768,"181":773,"182":777,"183":779,"184":780,"185":790,"186":791,"187":796,"188":803,"189":804,"190":806,"191":809,"192":810,"193":816,"194":820,"195":826,"196":833,"197":837,"198":846,"199":849,"200":850,"201":854,"202":857,"203":880,"204":881,"205":882,"206":887,"207":893,"208":894,"209":904,"210":907,"211":917,"212":924,"213":927,"214":928,"215":929,"216":931,"217":934,"218":937,"219":938,"220":939,"221":942,"222":947,"223":951,"224":952,"225":953,"226":955,"227":959,"228":960,"229":964,"230":972,"231":973,"232":978,"233":985,"234":990,"235":993,"236":994,"237":1002,"238":1008,"239":1011,"240":1013,"241":1015},{"0":23,"1":25,"2":33,"3":37,"4":38,"5":40,"6":45,"7":73,"8":74,"9":81,"10":87,"11":97,"12":102,"13":103,"15":152,"16":213,"17":218,"18":221,"19":225,"20":228,"21":235,"22":237,"23":241,"24":244,"25":250,"26":258,"27":261,"28":264,"29":265,"30":269,"31":272,"32":276,"33":287,"34":291,"35":292,"36":297,"37":303,"38":310,"39":326,"40":331,"41":340,"42":352,"43":353,"44":354,"45":363,"46":370,"47":373,"48":375,"49":399,"50":406,"51":417,"52":421,"53":429,"54":431,"55":441,"56":443,"57":444,"58":448,"59":450,"60":452,"61":457,"62":459,"63":474,"64":483,"65":496,"66":507,"67":519,"68":523,"69":533,"70":534,"71":535,"72":540,"73":541,"74":548,"75":561,"76":580,"77":581,"78":583,"79":595,"80":601,"81":606,"82":607,"83":608,"84":610,"85":621,"86":624,"87":655,"88":657,"89":661,"90":671,"91":673,"92":675,"93":678,"94":682,"95":685,"96":689,"97":695,"98":696,"99":698,"100":701,"101":710,"102":713,"103":722,"104":726,"105":729,"106":739,"107":743,"108":747,"109":749,"110":786,"111":789,"112":795,"113":797,"114":799,"115":807,"116":811,"117":812,"118":813,"119":814,"120":818,"121":825,"122":835,"123":840,"124":841,"125":873,"126":877,"127":878,"128":883,"129":885,"130":913,"131":930,"132":940,"133":946,"134":957,"135":992,"136":1016},[36,84,90,91,146,150,174,222,259,266,267,275,277,279,280,283,307,313,315,317,328,336,348,356,361,362,365,366,368,369,376,378,379,380,383,384,401,403,419,420,432,436,439,449,485,515,537,543,545,553,555,577,609,659,687,690,704,712,733,766,774,778,792,808,819,838,842,844,845,962,984],[17,26,85,154,155,157,160,177,335,337,358,360,377,381,497,502,544,547,549,582,611,666,674,684,735,763,771,775,782,783,784,785,823,839,843,884,903,995],[158,173,355,546,563,571,677,683,706,740,741,788,793,832,856],[172,371,560,568,570,585,676,759,761,821],[562,692],[686,702,708],[550,552,557,558,679,688,693],[556,699,707],[697,700],[709]]