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