[{"0":0,"1":1,"2":3,"3":4,"4":5,"5":6,"9":10,"11":12,"12":13,"13":14,"14":15,"15":16,"16":17,"17":18,"20":21,"21":23,"22":24,"23":25,"24":26,"25":27,"26":28,"27":29,"28":30,"30":32,"31":33,"33":35,"34":36,"35":37,"36":38,"37":39,"38":41,"39":42,"40":43,"42":45,"43":46,"44":47,"45":48,"46":49,"47":50,"48":51,"49":52,"50":54,"52":56,"54":58,"55":59,"56":60,"57":61,"59":63,"60":64,"63":68,"64":70,"65":71,"67":73,"68":74,"70":76,"71":77,"72":79,"73":80,"74":81,"75":83,"77":85,"78":86,"80":88,"81":89,"82":91,"83":92,"84":93,"87":97,"89":99,"91":101,"92":102,"95":105,"96":106,"97":107,"100":110,"101":111,"102":112,"103":113,"104":114,"105":115,"106":116,"107":117,"108":118,"109":119,"110":120,"111":122,"112":123,"113":124,"114":125,"115":126,"117":128,"119":130,"120":131,"121":132,"122":133,"123":135,"124":136,"125":137,"127":139,"128":140,"129":142,"131":144,"134":147,"135":148,"136":149,"137":150,"138":151,"139":152,"140":153,"141":154,"142":155,"143":156,"145":158,"146":159,"147":160,"148":161,"149":162,"151":165,"152":166,"153":167,"154":168,"155":169,"156":170,"157":171,"158":172,"159":173,"160":174,"162":176,"163":177,"164":178,"165":179,"166":180,"167":181,"168":182,"169":183,"170":184,"171":185,"172":186,"175":190,"176":191,"177":192,"178":193,"179":194,"180":195,"181":196,"183":198,"184":199,"185":200,"186":201,"187":202,"188":203,"190":205,"192":207,"193":208,"194":209,"196":212,"197":213,"198":214,"199":215,"200":216,"201":217,"202":218,"203":219,"205":222,"206":223,"207":224,"209":226,"210":227,"211":228,"212":229,"213":230,"214":231,"215":232,"216":233,"217":234,"218":235,"219":236,"220":237,"221":238,"222":239,"223":240,"225":242,"226":244,"227":245,"228":246,"229":247,"230":248,"231":249,"232":250,"233":251,"234":252,"235":253,"236":254,"237":255,"240":258,"241":259,"242":260,"243":261,"244":262,"245":263,"246":264,"247":265,"248":266,"251":269,"252":270,"253":271,"254":272,"256":274,"257":275,"259":277,"261":279,"262":280,"265":283,"266":284,"269":287,"270":288,"271":289,"272":290,"273":291,"274":292,"275":293,"276":294,"278":296,"280":298,"283":301,"285":303,"286":304,"288":306,"289":307,"290":309,"291":310,"294":314,"295":315,"296":316,"298":318,"299":319,"301":321,"302":322,"303":323,"304":324,"305":325,"307":327,"308":328,"309":329,"310":330,"311":331,"314":334,"315":335,"316":336,"317":337,"318":338,"319":339,"322":342,"323":343,"324":344,"325":345,"326":347,"327":348,"328":349,"329":350,"331":353,"332":354,"333":355,"335":358,"336":359,"337":360,"340":363,"341":364,"342":365,"343":366,"344":367,"345":368,"346":369,"347":370,"348":371,"349":372,"350":373,"351":374,"352":375,"353":376,"354":377,"355":378,"356":379,"357":380,"360":383,"363":386,"365":388,"366":389,"367":390,"369":392,"370":393,"371":394,"372":395,"373":396,"374":397,"375":398,"376":399,"377":400,"378":401,"379":402,"380":403,"381":404,"382":405,"383":406,"385":409,"387":411,"389":413,"390":414,"391":415,"392":416,"395":419,"397":421,"398":422,"399":423,"400":424,"401":425,"402":426,"403":428,"404":429,"405":430,"406":431,"407":432,"408":433,"409":434,"410":435,"411":437,"412":438,"415":441,"416":442,"417":443,"418":444,"420":446,"421":447,"422":448,"424":450,"425":451,"426":452,"427":454,"428":455,"429":457,"431":459,"433":461,"435":463,"436":464,"437":465,"438":466,"440":468,"442":470,"443":471,"444":472,"445":473,"447":475,"448":476,"449":477,"450":478,"452":480,"454":482,"455":483,"458":486,"459":487,"460":488,"461":489,"463":491,"464":493,"465":494,"466":495,"467":496,"468":497,"469":498,"470":499,"472":501,"474":503,"475":504,"476":505,"477":506,"478":507,"479":508,"480":509,"481":510,"482":511,"483":513,"484":514,"485":518,"486":519,"487":520,"488":525,"489":537,"490":540,"491":542,"492":548,"493":549,"494":552,"495":556,"496":558,"497":561,"498":563,"499":571,"500":572,"501":579,"503":584,"504":585,"505":586,"506":587,"507":592,"508":598,"509":599,"510":602,"511":603,"512":605,"513":606,"514":607,"515":616,"516":617,"517":618,"518":621,"519":623,"521":634,"522":638,"523":644,"524":645,"525":648,"526":649,"527":655,"528":658,"529":659,"530":662,"532":673,"534":693,"535":694,"536":695,"537":697,"538":703,"539":706,"540":709,"541":713,"542":716,"543":720,"544":721,"545":726,"546":728,"547":737,"548":739,"549":740,"550":741,"551":742,"552":753,"553":761,"554":765,"555":767,"556":768,"557":769,"558":771,"559":772,"561":774,"562":776,"563":777,"564":786,"565":794,"566":796,"567":798,"568":799,"570":801,"571":802,"572":803,"573":804,"574":805,"575":808,"576":811,"577":813,"578":814,"579":819,"580":820,"581":821,"582":824,"583":825,"584":827,"585":828,"586":839,"587":848,"588":856,"589":858,"590":860,"591":863,"593":866,"595":878,"596":881,"597":885,"598":887,"599":890,"600":891,"601":895,"602":898,"603":901,"604":907,"605":912,"606":914,"607":920,"608":921,"609":923,"610":929,"611":930,"612":933,"613":934,"614":940,"615":941,"616":942,"617":943,"618":945,"619":948,"620":953,"621":954,"622":956,"623":960,"624":966,"625":971,"626":973,"627":974,"628":975,"629":978,"631":983,"633":992,"634":997,"635":1002,"636":1003,"637":1006,"638":1009,"639":1023},{"0":2,"1":22,"2":40,"3":53,"4":67,"5":69,"6":78,"7":82,"8":90,"9":95,"10":121,"12":141,"13":164,"14":187,"15":210,"16":221,"17":243,"18":308,"19":313,"20":346,"21":352,"22":356,"23":408,"24":427,"25":436,"26":453,"27":456,"28":492,"29":521,"30":527,"31":538,"32":547,"33":551,"34":554,"35":559,"37":562,"38":574,"39":575,"40":589,"41":591,"42":594,"43":604,"44":610,"45":626,"46":628,"47":640,"48":646,"50":664,"52":699,"53":700,"54":701,"55":704,"56":708,"57":711,"58":729,"59":736,"60":738,"61":748,"62":751,"63":752,"64":784,"65":792,"66":810,"69":822,"70":826,"72":831,"73":833,"74":841,"75":842,"76":843,"79":869,"80":870,"81":871,"83":877,"84":879,"86":883,"87":886,"88":889,"89":892,"90":902,"91":908,"92":909,"93":926,"94":931,"95":957,"96":963,"97":965,"98":967,"99":968,"100":976,"102":989,"103":995,"104":996,"105":999,"106":1001,"107":1010,"108":1011,"109":1013,"110":1016,"111":1021},{"0":512,"2":534,"3":553,"4":555,"5":557,"6":568,"7":569,"9":590,"10":595,"11":600,"12":608,"13":612,"14":636,"15":637,"17":653,"18":654,"19":657,"20":660,"21":661,"22":665,"23":669,"24":682,"25":687,"26":702,"27":712,"28":718,"29":725,"30":727,"31":750,"32":754,"33":763,"34":778,"35":782,"37":788,"38":816,"39":818,"40":832,"41":840,"42":844,"43":846,"44":847,"45":849,"46":851,"48":857,"49":868,"50":873,"51":893,"52":919,"53":922,"54":924,"55":927,"56":946,"57":955,"58":959,"61":982,"62":1022},{"0":524,"1":535,"2":539,"3":565,"4":573,"6":596,"7":597,"8":609,"9":614,"10":620,"11":627,"12":630,"13":631,"14":635,"16":692,"17":696,"18":710,"20":733,"21":743,"22":744,"23":746,"24":755,"25":756,"26":815,"27":836,"28":838,"29":845,"30":880,"31":888,"32":894,"33":906,"34":918,"35":936,"36":939,"37":972,"38":980,"39":993,"40":994,"41":1000,"42":1005,"43":1017},{"0":530,"1":532,"2":536,"3":545,"4":566,"6":622,"8":639,"9":650,"10":651,"11":663,"12":672,"14":679,"16":714,"17":722,"18":731,"19":749,"20":779,"21":789,"22":806,"23":854,"24":872,"25":900,"26":913,"27":915,"28":925,"29":928,"30":932,"31":937,"32":951,"33":985,"35":1014,"36":1020},{"0":515,"1":516,"2":523,"3":544,"4":643,"5":685,"6":689,"8":719,"9":735,"10":764,"11":766,"12":781,"13":785,"14":791,"15":797,"18":862,"20":897,"22":904,"23":950,"24":969,"25":984,"26":1007,"27":1008},{"0":528,"1":531,"2":593,"3":633,"4":641,"5":668,"6":688,"7":757,"8":758,"9":795,"11":859,"12":861,"13":865,"14":899,"15":905,"16":917,"17":935,"18":947,"19":977,"21":991,"22":998},{"0":577,"1":705,"2":715,"3":717,"4":723,"5":747,"6":790,"8":884,"9":910,"10":916,"11":944,"12":949,"13":1004,"14":1015},{"0":517,"1":541,"2":546,"3":567,"4":613,"6":666,"7":671,"8":850,"9":952,"10":958,"11":962,"12":1019},{"0":570,"1":581,"2":583,"3":601,"4":619,"5":674,"6":683,"7":690,"10":834,"11":938,"13":990},{"0":550,"1":588,"3":762,"5":775,"6":809},{"3":691,"5":732,"7":911},{"0":522,"2":680},[],[],[]]