[{"1":1,"2":2,"3":3,"4":4,"6":8,"7":9,"8":10,"10":12,"11":13,"13":15,"14":16,"15":17,"16":18,"17":19,"18":20,"19":21,"20":22,"21":23,"22":24,"23":25,"24":26,"25":27,"26":28,"27":29,"28":30,"29":31,"30":32,"31":33,"32":34,"33":35,"34":36,"35":37,"36":38,"37":40,"38":43,"39":44,"40":45,"41":46,"42":47,"43":48,"44":49,"45":51,"47":55,"49":57,"50":58,"51":60,"52":62,"53":63,"54":64,"55":67,"56":68,"57":69,"58":70,"59":71,"60":72,"61":73,"62":74,"63":75,"64":77,"65":78,"66":79,"67":80,"68":81,"69":82,"70":83,"71":85,"72":86,"73":87,"74":88,"75":89,"76":90,"77":91,"78":92,"79":93,"80":95,"81":96,"82":97,"83":98,"84":100,"85":101,"86":103,"87":104,"88":105,"89":106,"90":107,"91":108,"92":109,"93":110,"94":111,"96":114,"97":115,"98":116,"99":117,"100":118,"101":119,"103":121,"104":122,"105":124,"106":126,"108":128,"109":129,"110":130,"111":131,"112":132,"113":133,"114":134,"115":135,"116":136,"117":137,"119":139,"121":141,"123":144,"124":145,"125":148,"126":149,"127":151,"128":152,"129":153,"130":154,"131":155,"132":156,"133":157,"134":158,"135":159,"136":161,"137":162,"138":163,"139":165,"140":166,"141":167,"142":168,"143":169,"144":170,"145":171,"147":173,"148":174,"149":175,"150":176,"151":177,"152":178,"153":181,"155":183,"156":184,"157":185,"158":186,"159":187,"160":188,"161":189,"162":191,"163":192,"164":193,"165":194,"166":195,"167":196,"168":197,"169":198,"170":199,"171":200,"173":202,"174":203,"175":204,"176":206,"177":207,"178":208,"179":209,"180":210,"181":211,"182":212,"183":213,"184":214,"185":215,"186":216,"187":217,"188":219,"189":220,"190":221,"191":222,"192":225,"193":226,"194":227,"195":228,"196":229,"197":230,"198":231,"199":232,"200":233,"201":234,"202":235,"203":236,"204":237,"205":238,"206":239,"207":240,"208":241,"209":242,"210":243,"211":245,"212":246,"213":249,"214":250,"215":251,"216":252,"217":254,"218":255,"219":256,"220":257,"222":259,"223":260,"224":261,"225":262,"226":263,"227":265,"228":266,"229":267,"230":268,"231":269,"232":270,"233":271,"234":272,"235":274,"236":275,"238":277,"239":278,"240":279,"241":280,"242":281,"243":282,"244":283,"245":284,"246":286,"247":287,"248":288,"249":289,"250":290,"251":291,"252":293,"253":294,"254":297,"255":298,"256":300,"257":301,"258":302,"259":303,"261":305,"262":306,"263":307,"264":308,"265":309,"266":310,"267":311,"268":312,"269":313,"270":314,"271":315,"272":316,"273":317,"274":318,"275":319,"276":320,"277":321,"278":323,"279":324,"280":325,"281":326,"282":328,"283":329,"284":330,"285":331,"287":333,"288":334,"289":335,"290":336,"291":337,"292":338,"293":339,"294":341,"295":342,"296":343,"297":344,"298":346,"299":347,"300":348,"301":349,"302":350,"303":351,"304":352,"305":354,"306":355,"307":356,"308":357,"309":358,"310":360,"311":361,"312":362,"313":363,"314":364,"315":366,"316":367,"317":368,"318":369,"319":370,"320":372,"321":373,"322":374,"323":375,"324":376,"325":377,"326":379,"327":380,"328":381,"329":382,"331":384,"333":387,"334":389,"335":390,"336":392,"338":394,"339":395,"340":396,"341":397,"342":398,"343":399,"344":401,"345":402,"346":404,"347":405,"348":406,"349":407,"350":408,"351":409,"352":410,"353":411,"354":412,"355":413,"356":414,"357":415,"358":417,"359":418,"360":419,"361":420,"362":421,"363":422,"364":423,"365":424,"366":425,"367":426,"369":428,"370":429,"371":430,"373":432,"374":433,"375":434,"376":435,"377":436,"378":438,"379":439,"380":441,"382":443,"383":444,"384":445,"385":446,"386":447,"387":448,"388":449,"389":450,"390":451,"392":453,"393":454,"394":455,"395":458,"396":460,"397":462,"398":463,"399":464,"400":465,"401":466,"402":467,"403":468,"404":469,"405":470,"406":473,"407":474,"408":475,"409":476,"410":477,"411":478,"412":480,"413":481,"414":482,"415":485,"416":486,"417":487,"418":488,"419":489,"420":490,"421":492,"422":493,"423":494,"424":495,"425":496,"426":497,"427":500,"428":501,"429":502,"430":503,"431":506,"432":507,"433":508,"434":509,"435":511,"436":513,"437":514,"438":515,"439":516,"440":518,"441":523,"442":524,"443":525,"444":527,"445":528,"446":529,"447":530,"448":532,"449":533,"450":537,"451":538,"452":539,"453":540,"454":541,"455":542,"456":544,"457":545,"458":546,"459":551,"460":554,"461":556,"462":557,"463":560,"464":561,"465":562,"466":563,"467":564,"468":565,"469":569,"470":570,"471":571,"472":572,"473":574,"474":577,"475":578,"476":579,"477":581,"478":583,"479":584,"480":585,"481":586,"482":587,"483":590,"484":595,"485":596,"486":601,"487":602,"488":603,"489":605,"490":606,"491":607,"492":609,"493":610,"494":611,"495":612,"496":613,"497":614,"498":615,"499":617,"500":620,"501":621,"502":623,"503":624,"504":629,"505":631,"506":633,"507":635,"508":636,"509":641,"510":642,"511":643,"512":645,"513":647,"514":650,"515":653,"516":654,"517":658,"518":659,"519":664,"520":665,"521":666,"522":667,"523":672,"524":673,"525":681,"526":682,"527":683,"528":684,"529":692,"530":694,"531":695,"532":697,"533":698,"534":700,"535":701,"536":704,"537":705,"538":708,"539":710,"540":712,"541":715,"542":718,"543":720,"544":721,"545":722,"546":724,"547":725,"548":727,"549":728,"550":730,"551":731,"552":733,"553":734,"554":735,"555":736,"556":737,"557":738,"558":740,"559":743,"560":745,"561":748,"562":749,"563":750,"564":751,"565":752,"566":756,"567":757,"568":759,"569":760,"570":761,"571":763,"572":764,"573":765,"574":766,"575":769,"576":770,"577":771,"578":772,"579":775,"580":777,"581":778,"582":779,"583":783,"584":786,"585":787,"586":790,"587":791,"588":793,"589":795,"590":796,"591":798,"592":800,"593":801,"594":803,"595":804,"596":805,"597":806,"598":808,"599":809,"600":811,"601":812,"602":813,"603":815,"604":818,"605":820,"606":821,"607":822,"608":823,"609":824,"610":825,"611":826,"612":827,"613":829,"614":830,"615":831,"616":832,"617":833,"618":834,"619":838,"620":840,"621":842,"622":844,"623":846,"624":851,"625":852,"626":854,"627":855,"628":857,"629":860,"630":863,"631":865,"632":866,"633":867,"634":868,"635":870,"636":872,"637":875,"638":876,"639":878,"640":879,"641":881,"642":882,"643":883,"644":885,"645":886,"646":887,"647":889,"648":895,"649":896,"650":898,"651":901,"652":903,"653":904,"654":912,"655":916,"656":917,"657":919,"658":922,"659":923,"660":924,"661":925,"662":926,"663":928,"664":930,"665":931,"666":932,"667":933,"668":935,"669":936,"670":938,"671":940,"672":944,"673":945,"674":946,"675":948,"676":950,"677":951,"678":952,"679":953,"680":956,"681":960,"682":962,"683":963,"684":964,"685":965,"686":966,"687":969,"688":972,"689":973,"690":975,"691":976,"693":979,"694":980,"695":982,"696":983,"697":984,"698":986,"699":987,"700":989,"701":991,"702":992,"703":993,"704":995,"705":996,"706":997,"707":1000,"708":1001,"709":1004,"710":1007,"711":1008,"712":1011,"713":1014,"714":1015,"715":1019,"716":1021,"717":1023},{"0":6,"1":7,"2":39,"3":41,"4":42,"5":50,"6":53,"7":54,"8":59,"9":61,"10":65,"11":66,"12":76,"13":84,"14":94,"15":99,"16":102,"17":123,"18":125,"19":142,"20":146,"21":147,"22":150,"23":160,"24":164,"25":179,"26":190,"27":205,"28":218,"29":223,"30":224,"31":244,"32":247,"33":248,"34":253,"35":264,"36":273,"37":285,"38":292,"39":295,"40":296,"41":299,"42":322,"43":327,"44":340,"45":345,"46":353,"47":359,"48":365,"49":371,"50":378,"51":385,"52":388,"53":391,"54":400,"55":403,"56":416,"57":437,"58":440,"59":456,"60":457,"61":459,"62":461,"63":472,"64":479,"65":483,"66":484,"67":491,"68":498,"69":499,"70":504,"71":510,"72":526,"73":531,"74":535,"75":536,"76":543,"77":548,"78":549,"79":550,"80":552,"81":553,"82":555,"83":559,"84":567,"85":568,"86":575,"87":576,"88":580,"89":582,"90":588,"91":589,"92":594,"93":597,"94":599,"95":600,"96":604,"97":608,"98":622,"99":625,"100":628,"101":634,"102":637,"103":638,"104":639,"105":644,"106":648,"107":651,"108":652,"109":656,"110":660,"111":661,"112":668,"113":669,"114":670,"115":671,"116":674,"117":676,"118":677,"119":678,"120":679,"121":680,"122":685,"123":688,"124":689,"125":693,"126":696,"127":699,"128":702,"129":709,"130":711,"131":713,"132":719,"133":723,"134":729,"135":732,"136":739,"139":746,"140":753,"141":758,"142":762,"143":767,"144":774,"145":780,"146":782,"147":784,"148":785,"149":788,"150":789,"151":792,"152":797,"153":799,"154":802,"155":807,"156":816,"157":817,"158":828,"159":835,"160":836,"161":841,"162":843,"163":845,"164":847,"165":849,"166":850,"167":859,"168":861,"169":862,"170":869,"171":873,"172":874,"173":877,"174":880,"175":888,"176":890,"177":891,"178":892,"179":893,"180":900,"181":902,"182":906,"183":908,"184":909,"185":910,"186":911,"187":913,"188":914,"189":918,"190":921,"191":927,"192":929,"193":937,"194":941,"195":949,"196":955,"197":957,"198":958,"199":961,"200":967,"201":970,"202":974,"203":981,"204":988,"205":990,"206":994,"207":998,"208":1002,"209":1003,"210":1006,"211":1012,"212":1013,"213":1016,"214":1018,"215":1020},[180,471,505,512,520,521,534,591,598,616,655,675,687,691,706,716,717,726,754,871,897,899,905,907,915,934,939,947,959,985,999,1009],[112,547,593,657,686,707,768,781,810,819,837,848,853,858,943,968,977],[517,522,573,626,627,630,662,703,714,742,755,794,856,894,942,1010],[519,592,618,619,663,690,747,839,971,1005,1022],[640,646,649,776,814,864,884,920],[566,632,1017],[773,954],[558]]