[{"0":1,"1":2,"2":3,"4":5,"5":6,"6":7,"7":9,"10":12,"11":14,"12":16,"14":19,"15":20,"16":21,"17":22,"18":23,"19":24,"20":25,"22":27,"23":28,"26":31,"31":38,"32":39,"33":40,"34":42,"35":43,"37":45,"38":46,"39":48,"40":49,"42":51,"44":53,"45":54,"47":56,"48":57,"49":58,"50":59,"51":60,"52":61,"55":64,"56":65,"57":66,"58":67,"59":68,"60":69,"61":70,"62":71,"63":72,"64":75,"65":76,"67":78,"68":79,"69":80,"70":82,"71":83,"72":85,"75":91,"76":92,"77":93,"78":94,"79":96,"80":97,"81":98,"82":99,"83":101,"84":102,"85":103,"86":104,"87":105,"88":106,"89":107,"90":108,"91":109,"93":111,"94":112,"96":115,"97":116,"98":117,"101":120,"102":121,"104":123,"105":124,"106":125,"107":126,"108":128,"109":129,"110":131,"112":133,"113":134,"116":137,"117":138,"118":139,"119":140,"120":141,"121":142,"122":143,"124":145,"125":147,"127":149,"129":151,"130":152,"131":153,"132":155,"133":156,"134":157,"136":159,"137":160,"138":162,"139":163,"141":165,"142":166,"146":170,"147":172,"148":173,"149":174,"150":175,"151":176,"152":177,"153":178,"154":179,"155":180,"156":181,"158":184,"159":185,"160":186,"161":187,"162":188,"163":190,"165":193,"166":194,"167":195,"169":197,"171":199,"173":201,"174":203,"175":204,"176":205,"177":206,"178":207,"179":208,"180":209,"181":210,"182":211,"183":212,"184":213,"185":214,"186":215,"187":216,"188":217,"189":218,"190":219,"191":220,"192":221,"193":222,"194":223,"195":224,"196":225,"197":226,"198":227,"199":228,"200":230,"201":231,"203":233,"204":234,"205":235,"206":236,"207":238,"208":239,"209":240,"211":242,"212":245,"213":246,"214":247,"215":249,"217":255,"220":258,"223":261,"225":263,"227":265,"230":269,"231":270,"232":271,"234":274,"235":275,"236":276,"237":278,"238":279,"240":281,"241":282,"243":284,"244":286,"245":287,"247":289,"248":290,"250":292,"251":293,"254":298,"255":299,"256":300,"258":302,"259":303,"260":304,"261":305,"262":306,"263":307,"265":309,"266":310,"268":313,"269":315,"270":316,"271":317,"272":318,"273":319,"275":321,"276":323,"277":326,"278":327,"280":329,"281":331,"283":334,"284":335,"287":338,"289":340,"290":341,"291":342,"292":343,"293":344,"295":346,"296":347,"297":348,"298":350,"299":351,"300":352,"301":353,"302":354,"304":356,"305":357,"306":358,"307":359,"309":362,"310":363,"311":364,"313":366,"314":367,"315":368,"316":369,"318":371,"319":372,"320":373,"321":374,"322":375,"323":376,"326":379,"328":381,"329":382,"330":383,"331":384,"332":385,"333":388,"334":389,"336":391,"337":392,"338":393,"340":396,"341":397,"342":398,"343":399,"345":401,"346":402,"347":403,"348":404,"350":406,"351":407,"352":408,"353":409,"354":410,"356":412,"357":413,"358":414,"359":415,"360":416,"361":417,"362":418,"363":419,"365":421,"366":422,"367":423,"368":424,"369":425,"370":426,"371":427,"372":428,"373":429,"374":430,"375":431,"376":432,"378":435,"379":436,"380":437,"381":439,"382":440,"386":444,"387":445,"388":446,"390":449,"391":451,"392":452,"393":453,"394":454,"395":455,"396":457,"397":458,"398":459,"399":461,"400":462,"401":463,"402":464,"403":465,"404":466,"405":468,"406":469,"408":471,"409":472,"413":476,"414":477,"415":479,"416":480,"417":481,"418":482,"419":484,"420":485,"421":486,"422":487,"423":488,"424":489,"425":490,"426":491,"427":492,"429":494,"430":495,"431":496,"432":497,"433":498,"435":500,"436":501,"437":502,"439":504,"440":505,"442":507,"443":508,"445":511,"446":513,"447":515,"448":516,"449":517,"450":523,"451":524,"452":525,"453":526,"454":528,"455":531,"456":534,"457":536,"458":539,"459":540,"460":544,"461":550,"462":551,"463":552,"464":553,"465":555,"466":558,"467":559,"468":560,"469":561,"470":563,"471":567,"472":568,"474":570,"475":572,"476":576,"477":579,"478":580,"479":582,"480":583,"481":585,"482":586,"484":596,"485":600,"486":602,"488":606,"489":607,"490":608,"491":609,"492":610,"493":611,"494":615,"495":619,"496":622,"497":627,"498":630,"499":634,"500":637,"501":640,"502":641,"503":645,"504":649,"505":652,"506":653,"507":654,"508":655,"509":658,"510":660,"511":661,"512":663,"513":668,"514":670,"515":671,"516":672,"517":673,"518":677,"519":678,"520":688,"521":689,"522":693,"523":694,"524":702,"526":708,"527":716,"528":717,"529":721,"530":722,"531":723,"532":724,"533":726,"534":727,"535":728,"536":737,"537":743,"538":749,"539":750,"540":753,"541":757,"542":758,"543":766,"544":772,"545":774,"546":775,"547":777,"548":779,"549":780,"550":782,"551":788,"553":794,"554":797,"555":800,"556":802,"557":815,"558":816,"559":819,"560":822,"561":823,"562":825,"564":829,"565":830,"566":832,"567":833,"568":835,"569":837,"570":843,"571":849,"572":850,"573":851,"574":853,"575":854,"576":858,"577":860,"578":861,"579":866,"580":867,"581":868,"582":870,"583":873,"584":875,"585":877,"586":878,"587":884,"589":888,"590":889,"591":892,"592":893,"593":896,"594":898,"596":902,"597":903,"598":905,"599":908,"600":909,"601":910,"602":913,"603":914,"604":917,"605":918,"606":921,"607":926,"609":930,"610":933,"611":935,"612":937,"613":938,"614":941,"615":944,"616":946,"617":948,"618":953,"619":958,"620":960,"621":962,"622":968,"623":970,"625":976,"626":977,"627":981,"629":1002,"630":1003,"631":1004,"632":1008,"633":1013,"634":1014,"635":1018,"636":1021,"637":1022},{"0":0,"1":8,"2":13,"4":18,"5":33,"6":34,"7":41,"8":47,"9":73,"10":74,"11":81,"12":84,"13":86,"14":87,"15":89,"16":95,"17":100,"18":113,"19":127,"20":130,"21":146,"22":154,"23":161,"24":171,"25":183,"26":189,"27":191,"28":202,"29":229,"30":237,"31":244,"32":248,"33":250,"34":251,"35":252,"36":253,"37":266,"38":272,"39":277,"40":285,"41":296,"42":297,"43":312,"44":314,"45":322,"46":324,"47":325,"48":330,"49":332,"50":349,"51":360,"52":386,"53":387,"55":433,"56":448,"57":450,"58":456,"59":460,"61":478,"62":483,"63":510,"65":514,"66":519,"67":520,"68":521,"69":527,"70":529,"71":532,"72":533,"73":537,"74":541,"75":542,"76":545,"77":549,"78":565,"79":566,"80":571,"81":574,"82":575,"83":581,"84":589,"85":592,"86":593,"87":594,"88":595,"89":603,"90":612,"91":614,"92":616,"94":623,"95":624,"96":626,"97":631,"98":632,"99":636,"100":639,"101":657,"102":662,"103":666,"104":674,"106":682,"107":685,"108":692,"109":696,"110":700,"111":701,"112":711,"114":729,"115":732,"116":733,"117":740,"118":741,"120":744,"121":745,"122":759,"123":760,"124":765,"125":767,"126":768,"127":771,"128":784,"129":786,"130":787,"131":789,"132":790,"133":796,"134":799,"135":801,"136":803,"137":804,"138":806,"139":811,"140":812,"141":813,"143":821,"144":827,"145":828,"146":831,"147":836,"148":839,"149":842,"150":845,"151":847,"152":852,"153":857,"154":862,"155":864,"156":869,"157":871,"158":872,"159":881,"160":885,"161":887,"162":891,"163":899,"164":901,"165":911,"166":916,"167":924,"168":928,"169":929,"170":931,"171":936,"172":939,"173":940,"174":943,"176":950,"177":951,"178":955,"179":961,"180":963,"181":964,"182":969,"183":978,"184":982,"185":989,"186":991,"187":993,"188":994,"189":996,"190":999,"191":1000,"192":1005,"193":1006,"194":1007,"195":1009},{"0":243,"1":438,"2":518,"3":530,"5":577,"6":598,"8":613,"10":633,"11":656,"12":659,"13":664,"14":680,"15":683,"16":695,"17":699,"18":703,"19":718,"20":735,"21":751,"22":761,"23":770,"24":778,"25":781,"26":798,"27":834,"28":856,"29":863,"30":883,"31":912,"33":945,"34":972,"35":979,"36":980,"37":985,"38":997,"39":998,"40":1010},{"1":547,"3":554,"4":635,"5":679,"6":697,"7":754,"8":792,"9":807,"10":818,"11":840,"12":841,"13":848,"14":890,"15":932,"16":956,"17":967,"18":984},{"0":564,"1":584,"2":588,"3":590,"4":597,"6":642,"7":644,"8":687,"9":712,"11":763,"12":764,"14":906,"15":919,"16":965,"18":992},{"0":546,"1":647,"2":650,"4":704,"5":720,"6":730,"7":783,"8":805,"11":934,"12":988,"13":1015,"14":1023},{"0":538,"1":556,"3":667,"4":684,"5":747,"6":748,"7":756,"8":820,"9":874,"10":876,"11":915,"12":971},{"0":573,"1":621,"2":665,"3":669,"5":698,"6":705,"7":714,"9":738,"11":859,"12":907},{"1":646,"3":651,"4":675,"5":719,"7":810,"9":894,"10":895,"11":904,"12":952},{"1":578,"2":625,"3":629,"6":795,"8":954,"9":1011},{"1":620,"2":706,"5":846,"6":880},{"1":676,"2":809,"4":966,"6":975,"7":1019},{"0":686,"2":713,"3":752,"4":844,"5":922},{"3":957},[],[],[]]