[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":7,"8":8,"9":9,"10":10,"11":11,"12":12,"13":13,"14":14,"16":16,"17":17,"18":18,"19":19,"20":22,"21":23,"23":26,"24":27,"25":28,"27":30,"28":31,"29":32,"30":33,"31":34,"32":35,"33":36,"34":37,"35":38,"36":39,"37":40,"38":41,"41":44,"42":45,"43":47,"44":48,"45":50,"46":51,"47":52,"48":53,"49":54,"50":57,"51":58,"53":60,"54":61,"55":62,"56":63,"57":64,"59":67,"60":68,"61":69,"62":70,"63":71,"64":72,"65":73,"66":74,"68":76,"70":78,"72":80,"73":81,"74":82,"75":83,"76":84,"77":85,"78":86,"79":87,"80":88,"82":90,"83":91,"84":92,"85":93,"86":95,"87":96,"88":97,"89":99,"90":100,"91":101,"92":102,"93":103,"94":104,"95":105,"96":106,"97":107,"98":108,"99":110,"100":111,"101":112,"103":114,"104":115,"107":118,"108":119,"109":120,"110":121,"112":123,"114":126,"115":127,"116":128,"117":129,"118":130,"119":131,"120":132,"121":134,"122":135,"123":136,"124":137,"125":138,"126":139,"127":140,"129":142,"132":145,"134":147,"136":149,"137":150,"138":151,"139":152,"140":153,"141":154,"142":155,"143":156,"144":157,"145":158,"146":159,"147":160,"148":161,"149":162,"150":163,"151":164,"152":165,"153":166,"154":167,"155":168,"157":170,"159":173,"160":174,"161":175,"162":176,"163":177,"164":178,"167":181,"168":182,"169":183,"170":184,"171":185,"172":186,"174":189,"175":190,"176":191,"177":192,"178":193,"179":194,"180":195,"181":196,"182":197,"183":198,"184":199,"185":200,"186":201,"187":202,"188":203,"189":204,"190":205,"191":207,"192":208,"193":209,"194":210,"195":211,"196":212,"197":214,"198":215,"199":216,"200":217,"201":218,"202":219,"203":220,"204":221,"205":222,"206":223,"207":224,"208":225,"209":226,"210":227,"211":228,"212":229,"213":230,"214":231,"215":232,"216":233,"217":234,"219":236,"220":237,"221":238,"222":239,"223":240,"224":241,"225":242,"226":243,"227":245,"228":246,"229":247,"230":248,"231":249,"232":250,"233":251,"234":252,"235":253,"236":254,"237":255,"238":257,"239":258,"240":259,"242":261,"244":263,"245":264,"246":265,"247":266,"248":267,"249":268,"251":270,"252":271,"253":272,"254":274,"255":275,"256":276,"257":277,"258":278,"259":279,"260":280,"261":281,"262":282,"263":283,"264":284,"265":285,"266":286,"267":287,"268":288,"269":289,"270":290,"271":291,"272":292,"273":293,"274":294,"275":295,"276":296,"277":297,"278":298,"279":299,"280":300,"281":301,"282":302,"283":303,"284":304,"285":306,"286":308,"288":310,"289":312,"290":313,"291":314,"292":315,"293":316,"294":317,"295":319,"297":322,"298":324,"299":326,"300":327,"301":329,"302":330,"303":331,"304":332,"305":333,"307":335,"308":336,"309":337,"310":338,"311":339,"312":340,"313":341,"314":342,"315":343,"316":344,"318":347,"319":348,"320":349,"321":351,"322":353,"323":354,"324":355,"325":356,"326":357,"327":359,"328":360,"329":361,"330":363,"331":364,"332":365,"333":366,"334":367,"335":368,"336":369,"338":371,"340":373,"341":374,"342":375,"343":376,"344":377,"345":378,"346":379,"347":380,"348":381,"349":382,"350":383,"351":384,"352":385,"353":386,"354":387,"355":391,"356":392,"357":393,"358":394,"359":395,"360":396,"361":397,"362":398,"363":399,"364":400,"365":401,"366":402,"367":403,"368":404,"369":405,"370":406,"374":410,"375":411,"376":412,"377":413,"378":414,"379":415,"380":416,"381":417,"382":418,"383":419,"384":420,"385":421,"386":422,"387":423,"388":424,"389":425,"390":426,"392":428,"393":429,"394":430,"395":431,"396":432,"397":433,"398":434,"399":435,"400":436,"401":437,"402":438,"403":439,"404":440,"405":441,"406":442,"407":443,"408":444,"409":445,"411":447,"412":448,"413":449,"414":450,"415":452,"416":453,"417":454,"418":455,"419":456,"420":457,"421":458,"422":459,"423":461,"424":462,"425":463,"426":464,"427":465,"428":467,"429":468,"430":469,"431":470,"432":471,"433":472,"434":473,"435":474,"436":476,"437":477,"438":478,"439":479,"440":480,"441":482,"442":484,"443":485,"444":487,"445":488,"446":489,"447":490,"448":491,"449":492,"450":494,"451":495,"452":496,"453":498,"454":499,"455":500,"456":501,"457":502,"458":503,"459":505,"460":506,"461":507,"462":509,"463":510,"464":517,"465":519,"466":520,"467":523,"468":527,"469":534,"470":538,"471":539,"472":540,"473":542,"474":543,"475":547,"476":549,"477":551,"478":554,"479":562,"480":563,"481":564,"482":568,"483":572,"484":577,"485":580,"486":584,"487":585,"488":587,"489":596,"490":604,"491":607,"492":608,"493":610,"494":611,"495":612,"496":613,"497":616,"498":618,"499":619,"500":620,"501":623,"502":624,"503":628,"504":629,"505":631,"506":635,"507":637,"508":648,"509":651,"510":652,"511":653,"512":654,"513":655,"514":658,"515":665,"516":671,"517":678,"518":680,"519":684,"520":686,"521":687,"522":688,"523":694,"524":696,"525":697,"526":698,"527":708,"528":710,"529":715,"530":717,"531":719,"532":723,"533":728,"534":730,"535":731,"536":734,"537":738,"538":742,"539":750,"540":751,"541":753,"542":757,"543":759,"544":761,"545":762,"546":763,"547":764,"548":765,"549":771,"550":772,"551":774,"552":775,"553":779,"554":788,"555":789,"556":790,"557":797,"558":799,"559":800,"560":803,"561":806,"562":807,"563":808,"564":809,"565":814,"566":816,"567":825,"568":832,"569":835,"570":837,"571":838,"572":842,"573":846,"574":849,"575":850,"576":853,"577":856,"578":859,"579":862,"580":864,"581":866,"582":869,"583":870,"584":871,"585":881,"586":882,"587":889,"588":894,"589":897,"590":900,"591":902,"592":904,"593":905,"594":906,"595":907,"596":908,"597":912,"598":914,"599":918,"600":921,"601":923,"602":925,"603":927,"604":931,"605":934,"606":935,"607":939,"608":940,"609":941,"610":944,"611":946,"612":947,"613":949,"614":950,"615":951,"616":955,"617":956,"618":958,"619":961,"620":962,"621":963,"622":965,"623":966,"624":968,"625":969,"626":977,"627":980,"628":982,"629":984,"630":986,"631":987,"632":988,"633":991,"634":993,"635":994,"636":1004,"637":1007,"638":1010,"639":1011,"640":1012,"641":1014,"642":1017,"643":1021},{"0":20,"1":21,"2":24,"3":46,"4":49,"5":55,"6":56,"7":65,"8":94,"9":98,"10":109,"11":124,"12":133,"13":171,"14":188,"15":206,"16":213,"17":244,"18":256,"19":273,"20":305,"21":311,"22":318,"23":323,"24":325,"25":328,"26":346,"27":350,"28":352,"29":358,"30":362,"31":388,"32":389,"33":390,"34":451,"35":460,"36":466,"37":475,"38":481,"39":483,"40":486,"41":493,"42":497,"43":504,"44":508,"45":511,"46":513,"47":518,"48":521,"49":524,"50":526,"51":528,"52":530,"53":535,"54":536,"55":537,"56":541,"57":552,"58":556,"59":560,"60":565,"61":567,"62":569,"63":573,"64":593,"65":594,"66":600,"67":603,"68":609,"69":615,"70":626,"71":627,"73":638,"74":642,"75":650,"77":660,"78":664,"79":666,"80":689,"81":690,"82":692,"83":695,"84":700,"85":702,"86":703,"87":704,"88":705,"89":706,"90":709,"91":714,"92":716,"93":718,"94":720,"95":722,"96":726,"97":729,"98":733,"99":735,"100":739,"101":744,"102":745,"103":746,"104":748,"106":752,"107":755,"108":778,"109":782,"110":786,"111":787,"112":791,"113":794,"114":795,"115":796,"116":801,"117":804,"118":812,"119":817,"120":818,"121":820,"122":821,"123":823,"124":827,"125":828,"126":833,"127":840,"128":851,"129":852,"130":855,"131":857,"132":858,"133":861,"134":865,"135":867,"136":872,"137":873,"138":875,"139":876,"140":877,"141":878,"142":879,"143":887,"144":892,"145":893,"146":898,"148":909,"150":916,"151":917,"152":920,"153":922,"154":929,"155":933,"156":936,"157":937,"158":942,"159":945,"160":952,"161":954,"162":960,"163":967,"164":973,"165":985,"166":995,"167":999,"168":1001,"169":1003,"171":1015,"172":1019},{"0":307,"1":321,"2":529,"3":533,"4":544,"5":546,"6":548,"7":555,"8":566,"9":574,"11":578,"12":589,"13":590,"14":597,"15":599,"16":601,"17":622,"18":634,"19":640,"20":669,"21":672,"22":674,"24":682,"25":699,"26":701,"28":725,"29":732,"30":736,"31":743,"32":754,"33":758,"34":768,"35":773,"36":777,"37":780,"38":783,"39":802,"40":811,"41":813,"42":826,"43":843,"44":860,"45":890,"46":895,"48":943,"49":953,"50":964,"51":971,"52":981,"53":996,"54":1006,"55":1013,"56":1023},{"0":525,"1":557,"2":559,"4":576,"5":579,"6":583,"8":602,"9":617,"10":643,"11":657,"12":659,"13":676,"14":677,"15":679,"16":737,"17":769,"18":776,"19":781,"20":792,"21":824,"22":901,"25":930,"26":970,"27":974,"28":979,"29":992,"30":997},{"0":512,"1":531,"2":614,"3":621,"4":639,"5":670,"6":683,"7":721,"8":747,"10":829,"11":847,"12":854,"13":884,"14":978,"15":990,"16":1008,"17":1020},[516,532,553,581,606,632,641,644,645,647,649,727,770,836,848,868,998,1002],[515,586,646,667,675,724,784,815,839,880,913,928,948,983],[514,571,668,713,740,767,819,831,863,883,924,938,957,959,972,1018],{"0":558,"1":595,"2":673,"3":691,"4":741,"5":760,"6":834,"7":844,"9":888,"10":891,"11":911,"12":1016},{"2":663,"3":712,"4":766,"6":874,"7":989,"8":1000},{"3":661,"5":798,"6":976},{"1":810},{"0":550,"3":841},[903],{"0":756,"2":896,"3":932,"4":1005},{"3":793},[],[],[]]