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