[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":7,"8":8,"9":9,"10":10,"11":11,"12":12,"13":13,"14":15,"15":16,"16":37,"17":38,"18":40,"19":43,"20":46,"21":56,"22":57,"23":58,"24":120,"25":121,"26":122,"27":123,"28":124,"29":126,"30":127,"31":128,"32":129,"34":147,"35":148,"36":149,"37":150,"38":151,"39":152,"40":171,"41":172,"42":177,"43":180,"44":183,"45":193,"46":194,"47":195,"48":200,"49":202,"50":215,"51":218,"52":220,"53":222,"54":223,"55":226,"56":227,"57":228,"58":230,"59":231,"60":233,"61":248,"62":260,"63":263,"64":268,"65":269,"66":272,"67":273,"68":274,"69":277,"70":278,"71":279,"72":322,"73":323,"74":324,"75":330,"76":353,"77":354,"78":358,"79":364,"80":369,"81":372,"82":376,"83":379,"84":380,"85":384,"86":385,"87":387,"88":388,"89":389,"90":391,"91":416,"92":422,"93":428,"94":430,"95":436,"96":442,"97":443,"98":446,"99":447,"100":449,"101":450,"102":451,"103":452,"104":453,"105":454,"106":455,"107":456,"108":457,"109":485,"110":486,"111":492,"112":493,"113":495,"114":498,"115":499,"116":500,"117":501,"118":504,"119":505,"120":513,"121":520,"122":522,"123":523,"124":527,"125":528,"126":530,"127":557,"128":558,"129":559,"130":561,"131":562,"132":563,"133":573,"134":581,"135":588,"136":589,"137":591,"138":592,"139":593,"140":599,"141":602,"142":603,"143":629,"144":634,"145":641,"146":644,"147":645,"148":646,"149":647,"150":649,"151":651,"152":652,"153":653,"154":654,"155":655,"156":677,"157":680,"158":682,"159":683,"160":685,"161":687,"162":693,"163":694,"164":696,"165":701,"166":704,"167":706,"168":710,"169":711,"170":712,"171":713,"172":714,"173":718,"174":719,"175":720,"176":721,"177":722,"178":723,"179":724,"180":741,"181":744,"182":745,"183":748,"184":749,"185":750,"186":751,"187":753,"188":754,"189":757,"190":760,"191":761,"192":763,"193":767,"194":769,"195":770,"196":828,"197":829,"198":832,"199":833,"200":835,"201":836,"202":838,"203":839,"204":859,"205":861,"206":865,"207":871,"208":881,"209":883,"210":886,"211":890,"212":891,"213":892,"214":894,"215":895,"216":896,"217":897,"218":898,"219":899,"220":900,"221":902,"222":904,"223":905,"224":906,"225":907,"226":908,"227":910,"228":926,"229":932,"230":933,"231":938,"232":940,"233":943,"234":944,"235":945,"236":953,"237":954,"238":956,"239":958,"240":960,"241":961,"242":962,"243":963,"244":964,"245":965,"246":966,"247":967,"248":968,"249":969,"250":971,"251":972,"252":973,"253":974,"254":975,"255":993,"256":995,"257":1004,"258":1008,"259":1009,"260":1010,"261":1019},{"0":18,"1":19,"2":20,"3":21,"4":22,"5":23,"6":25,"7":28,"8":29,"9":33,"10":42,"11":52,"12":61,"13":62,"14":64,"15":66,"16":67,"17":68,"18":69,"19":76,"20":77,"21":96,"22":108,"23":130,"24":134,"25":136,"26":138,"27":139,"29":155,"33":159,"34":161,"39":179,"40":182,"41":184,"42":187,"43":188,"45":198,"46":207,"47":210,"48":213,"49":216,"50":217,"51":219,"52":221,"53":225,"54":229,"55":232,"56":234,"57":238,"58":239,"59":241,"60":247,"61":249,"62":250,"63":252,"64":256,"65":257,"66":261,"67":264,"68":265,"69":275,"70":276,"71":284,"72":285,"73":286,"74":287,"75":288,"76":290,"77":305,"78":315,"79":326,"80":327,"81":328,"82":329,"83":333,"84":336,"85":337,"86":341,"87":345,"88":346,"89":347,"90":355,"91":357,"92":360,"93":361,"94":362,"95":367,"96":371,"97":374,"98":386,"99":390,"100":393,"101":395,"102":399,"103":401,"104":402,"105":403,"106":414,"107":417,"108":418,"109":421,"110":423,"111":424,"112":426,"113":429,"114":433,"115":434,"116":439,"117":440,"118":444,"119":458,"120":460,"121":461,"122":462,"123":463,"124":464,"125":465,"126":466,"127":469,"128":473,"129":475,"130":483,"131":488,"132":489,"133":497,"134":502,"135":503,"136":507,"137":509,"138":510,"139":512,"140":514,"141":516,"142":517,"143":518,"144":519,"145":521,"146":524,"147":525,"148":526,"149":529,"150":531,"151":532,"152":533,"153":534,"154":536,"155":539,"156":543,"157":544,"158":547,"159":549,"160":556,"161":560,"162":564,"163":567,"164":568,"165":571,"166":574,"167":575,"168":578,"169":580,"170":586,"171":587,"172":594,"173":595,"174":596,"175":597,"176":600,"177":607,"178":609,"179":616,"180":617,"181":618,"182":619,"183":620,"184":625,"185":627,"186":628,"187":630,"188":640,"189":642,"190":648,"191":650,"192":656,"193":657,"194":659,"195":660,"196":667,"197":670,"198":678,"199":681,"200":684,"201":692,"202":697,"203":700,"204":702,"205":705,"206":708,"207":715,"208":717,"209":725,"210":728,"211":733,"212":746,"213":752,"214":755,"215":758,"216":759,"217":762,"218":765,"219":768,"220":771,"221":830,"222":831,"223":834,"224":837,"225":840,"226":842,"227":843,"228":844,"229":848,"230":851,"231":860,"232":862,"233":872,"234":875,"235":876,"236":878,"237":879,"238":887,"239":888,"240":889,"241":901,"242":903,"243":909,"244":914,"245":917,"246":920,"247":930,"248":931,"249":934,"250":941,"251":942,"252":946,"253":949,"254":950,"255":951,"256":957,"257":976,"258":977,"259":978,"260":979,"261":980,"262":981,"263":982,"264":985,"265":986,"266":987,"267":989,"268":992,"269":999,"270":1011,"271":1014,"272":1023},{"0":14,"1":17,"2":24,"3":27,"4":30,"5":39,"6":48,"7":55,"8":70,"9":71,"10":72,"11":73,"12":74,"13":79,"14":81,"15":82,"16":83,"17":84,"18":86,"19":93,"20":95,"21":97,"22":98,"23":99,"24":100,"25":103,"26":104,"27":109,"28":112,"29":114,"30":117,"31":125,"32":131,"33":132,"34":133,"35":135,"36":137,"37":140,"38":141,"39":142,"40":143,"42":167,"45":175,"46":186,"47":224,"48":235,"49":237,"50":240,"51":242,"52":245,"53":246,"54":253,"55":254,"56":259,"57":280,"58":281,"59":283,"60":289,"61":291,"62":296,"63":298,"64":301,"65":306,"66":310,"67":314,"68":316,"69":317,"70":318,"71":319,"72":320,"73":321,"74":325,"75":331,"76":334,"77":335,"78":338,"79":339,"80":342,"81":343,"82":344,"83":356,"84":365,"85":366,"86":370,"87":375,"88":377,"89":382,"90":396,"91":404,"92":405,"93":406,"94":411,"95":415,"96":419,"97":420,"98":425,"99":435,"100":441,"101":445,"102":448,"103":459,"104":468,"105":471,"106":472,"107":474,"108":476,"109":480,"110":481,"111":482,"112":484,"113":487,"114":490,"115":494,"116":506,"117":511,"118":515,"119":535,"120":541,"121":542,"122":546,"123":548,"124":551,"125":555,"126":565,"127":566,"128":570,"129":572,"130":577,"131":579,"132":582,"133":584,"134":585,"135":590,"136":598,"137":601,"138":605,"139":606,"140":608,"141":610,"142":613,"143":615,"144":621,"145":622,"146":632,"147":633,"148":636,"149":638,"150":639,"151":643,"152":661,"153":664,"154":668,"155":669,"156":672,"157":673,"158":675,"159":688,"160":689,"161":690,"162":691,"163":699,"164":703,"165":707,"166":709,"167":716,"168":727,"169":730,"170":731,"171":736,"172":737,"173":738,"174":739,"175":742,"176":756,"177":772,"178":773,"179":774,"180":775,"181":776,"182":777,"183":779,"184":780,"185":781,"186":782,"187":785,"188":786,"189":787,"190":788,"191":789,"192":790,"193":792,"194":793,"195":795,"196":800,"197":801,"198":806,"199":808,"200":809,"201":810,"202":811,"203":813,"204":815,"205":816,"206":819,"207":821,"208":822,"209":823,"210":824,"211":825,"212":841,"213":845,"214":847,"215":850,"216":852,"217":853,"218":858,"219":863,"220":869,"221":870,"222":874,"223":877,"224":880,"225":884,"226":885,"227":893,"228":911,"229":912,"230":913,"231":918,"232":919,"233":924,"234":925,"235":927,"236":928,"237":929,"238":937,"239":939,"240":947,"241":948,"242":952,"243":970,"244":983,"245":988,"246":990,"247":991,"248":1001,"249":1015,"250":1022},[26,31,32,34,75,78,87,90,92,94,101,102,110,111,118,145,153,169,191,236,251,258,266,267,282,292,293,294,295,297,300,302,303,307,309,312,332,348,349,351,352,359,363,368,373,378,383,392,394,397,398,400,407,408,427,431,432,437,438,479,491,496,508,537,538,540,545,553,554,583,612,623,624,626,631,635,637,658,662,663,665,671,679,686,695,698,726,732,734,735,740,743,764,766,778,783,784,791,794,796,797,798,802,804,805,807,812,817,818,820,826,827,846,849,854,856,864,866,915,922,935,955,984,1000,1012,1020],[36,80,85,88,89,105,107,113,115,116,119,144,160,166,244,262,270,271,299,304,311,313,340,381,410,413,467,470,550,552,569,576,604,611,614,666,674,676,729,747,803,814,855,857,868,882,916,921,923,936,996,1003],[45,50,51,59,60,91,106,243,255,308,350,409,412,477,478,799,867,873,959,994,997,998,1005,1007,1016,1017,1021],[35,41,44,47,49,53,54,65,1006,1013],[63,1002,1018],[189,196,197,206,211,212],[174,176,178,181,185,192],[199,209,214],[201,204],[208],[205],[203]]