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