[{"0":0,"1":1,"3":3,"5":7,"6":8,"7":9,"8":10,"9":11,"10":12,"11":13,"12":15,"13":16,"14":17,"15":18,"16":19,"17":20,"18":21,"19":22,"20":23,"21":24,"22":25,"23":26,"24":27,"26":29,"27":30,"28":31,"30":33,"31":34,"32":35,"33":36,"34":37,"35":39,"36":41,"37":42,"38":43,"40":46,"41":48,"42":50,"43":51,"44":52,"46":54,"47":55,"48":56,"49":57,"51":60,"53":62,"54":63,"55":64,"58":67,"59":68,"60":69,"61":70,"62":71,"63":72,"64":73,"65":75,"66":76,"67":77,"68":78,"69":79,"70":80,"71":81,"72":82,"73":83,"74":84,"75":85,"77":88,"78":89,"79":90,"80":91,"81":92,"82":93,"83":96,"84":97,"85":98,"86":99,"88":101,"89":103,"90":104,"91":105,"92":106,"93":109,"96":112,"97":113,"98":114,"99":115,"100":116,"101":117,"102":118,"104":120,"105":121,"106":122,"107":123,"108":124,"109":125,"110":127,"111":128,"112":129,"113":130,"114":131,"115":132,"116":133,"117":134,"118":135,"120":138,"121":139,"123":141,"124":142,"125":143,"126":145,"127":146,"129":148,"130":149,"131":150,"132":151,"133":152,"134":153,"135":154,"136":155,"137":157,"138":158,"139":159,"140":160,"141":161,"143":163,"145":165,"146":166,"147":167,"149":169,"150":170,"151":171,"153":173,"154":174,"155":175,"156":176,"157":177,"158":178,"159":179,"160":180,"161":181,"162":182,"164":184,"166":186,"168":188,"169":189,"170":190,"171":191,"172":192,"173":193,"175":195,"176":196,"177":197,"179":199,"181":201,"182":203,"183":204,"184":205,"185":206,"186":207,"187":208,"188":209,"189":210,"190":211,"191":212,"192":213,"193":214,"194":215,"195":216,"196":217,"197":218,"198":219,"199":221,"200":222,"201":223,"202":224,"203":225,"204":226,"205":227,"206":228,"207":229,"208":230,"209":231,"210":232,"211":233,"212":234,"213":235,"214":236,"215":237,"216":238,"217":240,"218":241,"219":243,"220":244,"221":245,"222":246,"223":247,"224":249,"225":250,"226":251,"227":252,"228":253,"229":254,"230":255,"231":256,"232":257,"233":258,"234":259,"235":260,"236":262,"238":264,"239":265,"240":266,"241":267,"242":268,"243":269,"244":270,"245":271,"247":273,"249":275,"250":277,"251":278,"252":280,"253":281,"254":282,"256":284,"261":290,"262":291,"264":293,"265":294,"266":295,"267":296,"268":297,"269":298,"270":299,"271":300,"272":302,"273":303,"274":304,"275":305,"276":306,"277":307,"279":309,"280":310,"281":311,"282":313,"283":314,"284":315,"285":316,"286":317,"287":318,"289":320,"293":324,"294":325,"295":326,"296":327,"298":331,"299":332,"300":333,"303":336,"304":337,"305":338,"306":339,"307":340,"308":341,"313":347,"314":348,"315":350,"316":351,"317":352,"318":353,"319":354,"320":355,"321":356,"322":357,"323":358,"324":360,"326":362,"327":363,"328":364,"329":365,"330":367,"332":370,"333":371,"334":372,"335":373,"336":374,"337":375,"338":376,"340":380,"341":381,"342":382,"343":383,"344":384,"345":385,"346":386,"347":387,"348":388,"350":390,"351":391,"352":392,"353":394,"354":395,"355":396,"356":397,"357":398,"358":399,"359":400,"360":401,"361":402,"362":403,"363":405,"364":406,"365":410,"366":411,"368":414,"370":416,"372":418,"373":420,"375":423,"377":425,"378":426,"380":430,"381":431,"382":432,"383":433,"384":434,"385":435,"386":436,"387":437,"388":438,"391":441,"392":442,"393":443,"394":444,"395":445,"396":447,"398":449,"399":450,"400":451,"401":452,"402":454,"403":455,"404":456,"405":457,"406":458,"407":459,"408":461,"409":462,"410":463,"411":464,"412":465,"413":466,"414":467,"415":468,"416":469,"417":470,"418":471,"420":473,"422":475,"423":476,"424":479,"425":480,"426":481,"427":482,"428":485,"429":486,"430":487,"431":488,"432":491,"434":493,"435":495,"436":496,"437":497,"438":498,"439":499,"440":501,"441":502,"442":503,"443":504,"444":505,"445":507,"446":509,"448":511,"449":512,"450":516,"451":519,"452":521,"453":528,"454":529,"455":531,"456":533,"457":539,"458":541,"459":562,"460":563,"461":568,"463":575,"464":582,"465":587,"466":589,"467":601,"468":602,"469":608,"470":610,"471":616,"472":618,"473":623,"475":637,"476":639,"477":640,"478":646,"479":647,"480":654,"481":655,"482":656,"483":658,"484":662,"485":668,"486":670,"487":675,"488":676,"489":677,"490":681,"491":684,"492":687,"493":698,"494":701,"495":704,"496":708,"497":715,"498":728,"500":736,"501":743,"502":751,"503":757,"504":758,"505":760,"506":764,"507":767,"508":768,"509":774,"510":784,"511":788,"513":798,"514":800,"515":804,"516":806,"517":808,"518":810,"519":811,"520":812,"521":820,"522":825,"523":827,"524":833,"525":835,"526":836,"527":844,"528":847,"529":871,"530":877,"531":882,"532":889,"533":902,"534":906,"535":909,"536":914,"537":916,"538":927,"539":928,"540":933,"541":941,"542":946,"543":947,"544":951,"545":957,"546":958,"547":972,"548":974,"549":975,"550":977,"551":981,"552":982,"553":984,"554":988,"555":989,"556":1000,"557":1001,"558":1003,"559":1007,"560":1008,"561":1009,"562":1010,"563":1013,"564":1019},{"0":5,"1":14,"2":38,"3":40,"4":45,"5":47,"6":49,"7":59,"8":74,"9":87,"10":94,"11":95,"12":102,"13":107,"14":108,"15":126,"16":136,"17":144,"18":156,"19":202,"20":239,"21":248,"22":261,"23":276,"24":287,"25":301,"26":312,"27":329,"28":330,"29":346,"30":349,"31":359,"32":366,"33":378,"34":379,"35":393,"36":404,"37":407,"38":408,"39":409,"40":413,"41":419,"42":422,"43":427,"44":429,"45":446,"46":453,"47":460,"48":477,"49":478,"50":483,"51":484,"52":489,"53":490,"54":494,"55":506,"56":508,"57":523,"58":526,"59":530,"60":535,"61":537,"62":540,"63":542,"64":546,"65":548,"66":550,"67":552,"68":559,"69":570,"70":571,"71":577,"72":588,"73":591,"74":596,"75":597,"76":598,"77":599,"78":605,"79":606,"80":607,"82":617,"83":620,"85":629,"86":630,"87":633,"88":648,"91":659,"92":660,"93":674,"95":695,"96":712,"98":719,"99":723,"100":725,"101":726,"103":745,"104":750,"105":755,"106":756,"107":765,"108":769,"109":771,"110":776,"111":783,"112":787,"113":794,"114":796,"115":813,"116":822,"117":824,"118":828,"119":834,"120":841,"121":846,"122":852,"123":856,"124":857,"125":862,"126":867,"127":875,"128":879,"129":883,"130":885,"131":887,"132":888,"133":893,"134":908,"135":910,"136":915,"137":931,"138":937,"139":944,"140":954,"141":960,"142":965,"143":967,"144":991,"145":996,"146":997,"147":1002,"148":1005,"149":1006,"150":1012,"151":1018,"152":1020},{"0":6,"1":220,"2":279,"3":368,"4":500,"5":524,"6":532,"7":534,"8":556,"9":558,"10":564,"11":572,"13":574,"15":578,"16":580,"17":581,"18":619,"19":621,"20":622,"21":638,"22":665,"23":690,"24":692,"25":705,"26":714,"27":716,"28":724,"29":729,"30":730,"31":740,"32":749,"33":752,"34":759,"35":770,"36":772,"37":779,"38":793,"39":802,"40":829,"41":832,"42":845,"43":849,"44":851,"45":859,"46":860,"47":863,"48":864,"49":876,"50":884,"51":891,"52":896,"54":907,"55":912,"56":919,"57":924,"58":955,"59":970,"60":971,"61":976,"62":992,"63":1014,"64":1017},{"0":242,"1":513,"2":518,"4":554,"5":579,"6":584,"7":592,"8":594,"9":600,"10":609,"11":611,"12":625,"13":627,"14":641,"15":653,"16":663,"18":678,"19":689,"20":694,"21":696,"22":702,"23":709,"24":710,"25":721,"26":722,"27":727,"28":737,"29":742,"30":744,"31":761,"32":766,"33":773,"35":790,"36":809,"37":815,"38":818,"39":830,"40":853,"41":854,"42":861,"43":868,"44":869,"45":872,"46":878,"47":880,"48":895,"49":903,"50":905,"51":922,"52":925,"53":943,"54":948,"55":949,"57":968,"58":969,"59":979,"60":999,"61":1004},{"0":515,"1":525,"2":536,"3":547,"4":551,"5":614,"6":651,"7":652,"8":680,"9":685,"10":720,"11":734,"13":746,"14":748,"15":762,"16":795,"17":799,"18":803,"19":807,"20":817,"21":823,"22":826,"23":838,"24":839,"25":840,"27":865,"28":874,"29":890,"30":900,"31":913,"32":921,"33":926,"34":929,"35":930,"36":935,"37":938,"38":962,"39":963,"40":978,"41":986,"42":993,"43":995},{"0":517,"1":527,"2":560,"4":590,"5":595,"6":626,"7":635,"8":636,"9":671,"10":699,"11":700,"12":706,"13":711,"14":733,"15":747,"16":763,"17":775,"18":781,"19":782,"20":786,"21":791,"22":814,"23":837,"24":842,"25":843,"26":858,"27":866,"28":894,"29":936,"30":939,"31":956,"32":961,"33":973,"34":998},{"0":514,"1":553,"2":557,"3":631,"4":642,"5":643,"6":645,"7":664,"8":672,"9":682,"11":777,"12":801,"13":805,"14":892,"15":898,"16":901,"17":911,"18":932,"19":942,"20":950,"21":983,"22":985},[522,585,615,661,693,707,741,754,850,881,886,917,918,953,964],[538,561,586,673,691,703,778,904,1011,1022],{"2":593,"3":604,"4":644,"5":650,"6":683,"9":797,"10":819,"11":831,"12":848,"14":923,"16":945,"17":952,"18":959,"19":990},{"1":632,"2":669,"3":686,"4":688,"5":731,"6":735,"7":821},[543,544,565,603,994],{"0":613,"1":666,"3":1021},{"0":545,"2":718,"3":987,"4":1023},{"2":1015},[],[],[]]