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