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