[{"0":0,"1":1,"4":4,"5":5,"7":7,"8":8,"11":11,"12":12,"13":14,"14":15,"15":16,"17":18,"18":19,"19":20,"21":22,"23":25,"25":27,"26":28,"28":30,"29":31,"30":33,"31":34,"33":36,"34":37,"35":39,"36":41,"37":42,"39":44,"40":45,"41":46,"42":47,"45":50,"48":53,"49":54,"50":55,"51":56,"52":57,"53":58,"54":59,"55":60,"56":61,"57":62,"58":63,"59":65,"60":66,"64":72,"65":73,"66":74,"67":75,"68":76,"69":78,"70":79,"71":80,"72":81,"73":82,"74":83,"75":85,"76":86,"77":87,"78":88,"79":89,"80":90,"81":91,"82":92,"83":93,"84":94,"86":96,"87":97,"88":98,"89":100,"90":101,"91":102,"93":105,"95":107,"96":108,"97":110,"98":111,"101":114,"102":115,"103":116,"104":117,"105":118,"106":119,"107":120,"108":121,"110":123,"111":124,"113":126,"115":128,"117":130,"119":132,"120":134,"121":135,"122":136,"123":137,"125":141,"127":144,"128":146,"131":149,"133":151,"134":152,"135":153,"138":157,"139":158,"140":159,"141":160,"145":164,"146":165,"147":169,"148":170,"149":171,"150":172,"151":173,"152":175,"153":176,"154":178,"155":180,"156":181,"157":182,"158":183,"159":184,"160":187,"161":188,"162":190,"164":193,"165":194,"166":195,"167":196,"168":197,"170":200,"171":202,"172":203,"173":205,"174":207,"175":208,"176":209,"177":211,"178":212,"179":213,"180":214,"181":215,"182":216,"183":218,"184":219,"185":220,"186":221,"187":222,"188":224,"189":225,"190":226,"191":227,"192":228,"193":229,"194":232,"195":234,"196":235,"197":236,"198":237,"199":238,"200":240,"201":241,"202":242,"203":243,"204":244,"205":245,"206":246,"207":247,"208":248,"209":249,"210":250,"211":251,"212":252,"213":253,"214":254,"215":255,"217":257,"218":259,"220":261,"221":262,"222":263,"224":265,"225":266,"226":267,"229":270,"230":271,"231":272,"232":273,"233":274,"234":275,"235":276,"236":277,"237":278,"238":279,"239":280,"240":281,"242":283,"243":284,"247":288,"248":289,"249":291,"251":295,"252":296,"253":298,"254":299,"255":300,"256":301,"258":304,"260":306,"264":310,"267":313,"268":314,"269":315,"270":317,"271":318,"272":319,"273":320,"274":321,"277":324,"280":328,"281":329,"282":330,"283":331,"284":332,"285":334,"286":335,"287":336,"288":337,"289":338,"290":340,"291":341,"292":342,"295":346,"296":347,"297":348,"298":349,"300":351,"301":352,"302":353,"303":355,"304":357,"305":358,"306":359,"307":360,"308":361,"310":363,"315":370,"316":371,"317":372,"319":374,"320":375,"324":379,"325":380,"327":382,"328":384,"329":385,"331":387,"332":388,"333":389,"334":391,"335":392,"336":393,"337":394,"338":395,"339":397,"340":398,"341":399,"342":401,"343":402,"344":403,"345":404,"346":405,"347":406,"348":407,"349":408,"351":410,"353":413,"354":414,"355":415,"357":418,"358":419,"359":420,"360":421,"361":422,"362":423,"363":424,"364":426,"365":427,"367":430,"368":431,"369":432,"370":433,"371":434,"372":437,"374":439,"375":440,"376":441,"377":442,"378":445,"379":446,"383":453,"384":454,"385":457,"386":458,"387":459,"388":460,"389":461,"390":465,"391":466,"392":468,"393":470,"394":471,"395":472,"396":473,"397":474,"398":475,"399":476,"400":477,"401":479,"402":480,"404":482,"405":483,"406":484,"408":486,"409":487,"410":488,"411":489,"412":490,"413":491,"414":492,"415":493,"418":496,"419":497,"420":499,"421":501,"423":503,"424":504,"425":505,"426":508,"427":509,"428":510,"429":511,"430":512,"431":516,"432":520,"433":522,"434":524,"435":525,"436":527,"437":529,"438":533,"439":535,"440":536,"442":541,"443":551,"444":552,"445":555,"446":558,"447":561,"448":563,"449":565,"450":566,"451":577,"452":580,"453":582,"454":583,"455":584,"456":585,"457":586,"458":590,"460":610,"461":611,"463":614,"464":618,"466":623,"467":626,"468":627,"469":633,"470":637,"471":640,"472":646,"473":648,"474":652,"475":655,"476":659,"478":665,"480":667,"481":677,"482":678,"483":680,"484":685,"485":687,"486":688,"487":690,"488":693,"489":697,"490":706,"492":709,"493":710,"494":716,"495":718,"496":721,"497":727,"498":731,"500":736,"502":741,"503":746,"504":751,"505":752,"506":754,"507":756,"508":760,"509":763,"510":765,"511":766,"512":767,"513":772,"514":776,"515":777,"516":781,"517":786,"518":788,"519":789,"520":791,"521":792,"522":794,"523":798,"524":801,"525":802,"527":805,"528":808,"529":810,"530":811,"531":814,"532":817,"533":823,"534":825,"535":832,"536":833,"537":834,"538":839,"539":852,"540":854,"541":861,"542":862,"543":863,"544":870,"545":871,"546":873,"547":876,"548":877,"549":878,"550":883,"551":885,"552":886,"553":887,"554":888,"555":894,"556":895,"557":898,"558":900,"559":901,"560":907,"561":908,"562":913,"563":915,"564":916,"565":917,"566":919,"567":921,"569":924,"570":925,"572":931,"573":935,"574":936,"575":942,"576":945,"577":949,"578":953,"579":958,"580":960,"581":962,"582":964,"583":965,"584":966,"585":981,"586":983,"587":984,"588":985,"589":988,"590":989,"591":991,"592":998,"593":999,"594":1000,"595":1006,"596":1010,"597":1012,"598":1014,"599":1019,"600":1020},{"0":13,"1":23,"2":32,"3":38,"5":69,"6":70,"7":77,"8":84,"9":103,"10":109,"11":133,"13":140,"14":143,"15":145,"16":156,"17":166,"19":174,"20":177,"21":179,"22":185,"23":189,"24":191,"25":198,"26":201,"27":204,"28":206,"29":210,"30":217,"31":223,"32":230,"33":231,"34":239,"36":290,"37":292,"38":293,"39":297,"40":303,"41":316,"42":325,"43":333,"44":339,"45":343,"46":354,"47":356,"48":365,"49":366,"50":383,"51":390,"52":396,"53":400,"54":411,"55":416,"56":425,"58":435,"59":436,"60":444,"61":447,"62":450,"63":451,"64":455,"65":456,"66":462,"67":463,"68":464,"69":467,"70":469,"71":478,"72":498,"73":500,"74":506,"75":513,"76":515,"77":518,"78":521,"79":530,"80":531,"81":534,"82":540,"83":542,"84":545,"85":546,"86":547,"87":550,"88":554,"89":557,"90":560,"91":570,"92":571,"93":572,"94":573,"95":576,"96":579,"98":587,"99":588,"100":591,"101":597,"102":599,"103":608,"104":612,"105":615,"106":616,"107":622,"108":624,"109":625,"110":630,"111":631,"112":641,"113":643,"114":644,"115":645,"116":649,"117":651,"118":654,"120":661,"121":664,"122":668,"124":676,"125":679,"126":683,"127":684,"128":686,"130":691,"131":692,"132":694,"133":696,"134":698,"135":699,"136":700,"137":701,"138":703,"139":713,"140":717,"141":722,"142":725,"143":730,"144":732,"145":735,"146":740,"147":742,"148":744,"149":748,"151":758,"152":761,"153":762,"154":768,"155":770,"156":773,"158":778,"159":783,"160":784,"161":796,"162":803,"163":806,"164":809,"165":816,"166":820,"167":821,"168":822,"169":824,"170":827,"171":828,"172":829,"173":835,"174":842,"175":843,"176":844,"177":845,"178":847,"179":848,"180":849,"181":853,"182":855,"183":856,"184":860,"186":867,"187":868,"188":874,"189":875,"190":881,"191":884,"192":889,"193":892,"194":899,"195":902,"196":909,"197":910,"198":911,"200":928,"201":930,"202":934,"203":938,"204":943,"205":946,"206":947,"207":950,"208":951,"209":957,"210":968,"211":969,"212":971,"213":973,"214":975,"215":976,"216":978,"217":979,"218":980,"219":987,"220":990,"221":992,"222":995,"223":996,"224":997,"225":1011,"226":1015,"227":1016,"228":1018,"229":1021,"230":1023},{"0":99,"1":168,"2":186,"3":233,"4":443,"5":532,"6":539,"8":544,"10":575,"11":589,"12":596,"13":602,"15":629,"17":650,"18":658,"20":669,"22":712,"23":745,"24":764,"25":779,"26":793,"27":799,"28":807,"30":836,"31":840,"32":858,"33":866,"34":869,"35":893,"36":904,"37":914,"38":933,"39":961,"40":967,"41":972,"42":982,"43":994,"44":1001,"45":1004,"46":1005,"47":1008,"48":1013},{"0":40,"1":507,"2":517,"3":549,"4":556,"5":594,"6":621,"7":635,"8":663,"9":695,"10":705,"11":726,"13":826,"14":846,"16":879,"17":896,"18":906,"19":937,"20":940,"22":1007},{"0":526,"1":528,"2":553,"5":632,"6":639,"7":656,"8":682,"9":702,"10":734,"11":787,"12":838,"13":918,"14":922,"16":963},[562,564,592,595,598,607,620,719,790,795,813,880],{"0":548,"1":559,"2":604,"3":606,"4":671,"6":720,"7":753,"8":775,"9":785,"10":797,"11":897,"12":905,"14":1022},{"0":617,"2":724,"3":830,"4":841,"5":850,"6":865,"7":944},{"1":715,"2":723,"3":729,"4":737,"5":749,"6":757,"7":759,"8":780,"10":920,"11":939},{"0":519,"4":672,"7":782,"8":857,"9":952,"10":974,"11":986},{"0":593,"1":603,"3":771,"5":815,"7":890,"9":959},{"0":568,"2":636,"3":638,"4":653,"7":954,"8":956},{"4":882},{"2":711},[],[],[]]