[{"0":1,"1":3,"2":4,"4":6,"5":10,"6":11,"7":12,"8":14,"10":17,"11":18,"12":19,"13":20,"14":21,"15":22,"16":23,"17":24,"18":25,"20":27,"22":29,"23":30,"24":31,"25":32,"26":33,"27":34,"29":36,"30":37,"31":38,"32":40,"33":41,"34":42,"35":43,"36":44,"37":45,"38":46,"40":48,"41":49,"42":50,"43":51,"44":52,"45":53,"46":54,"47":55,"48":56,"49":57,"50":58,"51":59,"53":62,"54":63,"55":64,"56":65,"58":67,"59":68,"60":69,"61":70,"62":71,"63":72,"64":73,"65":74,"66":76,"67":77,"68":78,"69":79,"70":80,"71":81,"72":82,"73":83,"75":85,"76":86,"77":87,"78":89,"79":90,"80":91,"81":92,"82":94,"83":95,"84":96,"85":97,"86":98,"87":100,"88":101,"89":102,"90":105,"91":107,"92":108,"93":109,"94":110,"95":111,"96":112,"97":113,"98":114,"99":115,"100":116,"101":117,"102":118,"103":119,"104":120,"105":121,"106":122,"110":127,"111":128,"112":129,"113":130,"114":131,"115":132,"116":133,"117":134,"118":135,"120":137,"121":138,"122":139,"123":140,"124":141,"126":143,"127":144,"128":145,"129":147,"130":148,"131":149,"132":150,"133":151,"134":152,"135":153,"136":154,"137":155,"138":156,"139":157,"140":158,"141":159,"142":160,"143":161,"144":162,"145":163,"146":165,"147":166,"148":167,"149":168,"150":169,"151":170,"153":173,"154":174,"155":175,"156":176,"157":177,"158":178,"159":179,"160":180,"161":181,"162":182,"163":183,"165":185,"166":186,"167":187,"168":188,"169":189,"170":190,"171":191,"172":192,"173":193,"175":195,"176":196,"178":198,"179":199,"180":200,"181":201,"182":202,"183":203,"184":204,"185":205,"186":206,"187":207,"188":208,"189":209,"190":210,"191":211,"192":212,"193":213,"194":214,"195":215,"196":216,"197":217,"198":218,"199":219,"200":220,"201":221,"202":223,"203":225,"204":226,"205":228,"206":229,"207":231,"208":232,"209":233,"210":234,"211":235,"212":236,"213":237,"214":238,"215":240,"216":241,"217":242,"218":244,"219":245,"220":246,"221":247,"222":249,"223":250,"224":252,"225":253,"226":254,"227":255,"229":257,"231":259,"232":260,"233":261,"234":262,"235":263,"236":265,"237":266,"238":267,"239":268,"240":269,"241":270,"244":273,"245":274,"246":275,"247":276,"248":278,"249":279,"250":280,"251":281,"252":282,"253":283,"254":284,"255":286,"257":288,"258":289,"259":290,"261":292,"262":294,"263":295,"264":297,"265":298,"266":299,"267":300,"269":302,"270":304,"271":305,"272":306,"273":307,"275":310,"278":315,"279":316,"280":318,"281":320,"282":321,"283":322,"284":323,"285":324,"286":325,"287":326,"288":327,"289":328,"290":329,"291":330,"292":331,"293":332,"294":333,"296":335,"298":337,"299":338,"301":340,"302":341,"303":342,"304":343,"306":345,"307":346,"308":348,"309":349,"310":350,"311":351,"312":352,"313":353,"314":354,"315":355,"316":356,"317":357,"318":358,"319":359,"320":360,"321":362,"322":363,"323":364,"324":365,"325":366,"326":367,"328":369,"332":373,"333":374,"334":375,"335":376,"336":377,"337":378,"338":379,"339":380,"340":381,"341":382,"342":383,"343":384,"344":385,"345":386,"346":387,"347":389,"348":390,"349":391,"350":392,"351":393,"352":394,"353":395,"354":396,"355":398,"356":400,"357":402,"358":403,"359":404,"360":405,"361":406,"362":407,"363":408,"364":409,"365":410,"366":411,"367":413,"368":414,"369":415,"371":417,"372":418,"373":419,"374":420,"376":422,"377":423,"378":425,"379":426,"380":427,"381":428,"382":429,"383":430,"385":432,"386":433,"387":435,"388":436,"389":437,"390":438,"391":439,"392":440,"393":441,"394":442,"395":443,"396":444,"397":445,"398":446,"399":447,"400":448,"401":449,"402":450,"403":451,"404":452,"405":453,"406":454,"408":456,"409":457,"410":458,"411":459,"412":460,"413":461,"414":462,"415":463,"416":464,"417":465,"418":467,"419":469,"420":470,"421":472,"422":474,"423":475,"424":476,"425":478,"426":479,"427":480,"428":482,"429":483,"430":484,"431":485,"432":487,"433":488,"434":489,"435":490,"437":493,"438":494,"439":495,"440":496,"441":497,"442":498,"443":499,"444":500,"445":501,"446":502,"447":503,"448":504,"449":506,"450":507,"451":508,"452":509,"453":511,"454":515,"455":517,"456":518,"457":520,"458":523,"459":524,"460":526,"461":527,"462":530,"463":531,"464":532,"465":534,"466":538,"467":541,"468":542,"469":545,"470":546,"471":547,"472":555,"473":560,"474":563,"475":564,"476":567,"477":568,"478":569,"479":570,"480":571,"481":572,"482":576,"483":577,"484":578,"485":579,"486":580,"487":582,"488":584,"489":586,"490":587,"491":588,"492":592,"493":593,"494":594,"495":595,"496":596,"497":599,"498":600,"499":603,"500":606,"501":608,"502":609,"503":611,"504":614,"505":615,"506":617,"507":621,"508":622,"509":624,"510":625,"511":627,"512":629,"513":630,"514":631,"515":632,"516":634,"517":641,"518":642,"519":643,"520":645,"521":647,"522":648,"523":649,"524":656,"525":658,"526":660,"527":662,"528":663,"529":664,"530":665,"531":667,"532":670,"533":675,"534":676,"535":681,"536":684,"537":685,"538":686,"539":688,"540":691,"541":693,"542":696,"543":697,"544":700,"545":703,"546":706,"547":707,"548":709,"549":712,"550":713,"551":715,"552":716,"553":717,"554":720,"555":724,"556":725,"557":726,"558":731,"559":736,"560":737,"561":740,"562":744,"563":745,"564":748,"565":751,"566":753,"567":755,"568":756,"569":757,"570":759,"571":760,"572":762,"573":765,"574":766,"575":768,"576":771,"577":772,"578":773,"579":780,"580":781,"581":783,"582":786,"583":788,"584":790,"585":792,"586":797,"587":798,"588":800,"589":801,"590":802,"591":803,"592":804,"593":805,"594":807,"595":808,"596":809,"597":810,"598":811,"599":813,"600":814,"601":816,"602":817,"603":821,"604":822,"605":824,"606":825,"607":829,"608":831,"609":834,"610":835,"611":836,"612":837,"613":844,"614":847,"615":850,"616":851,"617":854,"618":858,"619":859,"620":860,"621":863,"622":864,"623":866,"624":869,"625":871,"626":873,"627":874,"628":876,"629":878,"630":879,"631":880,"632":882,"633":883,"634":884,"635":885,"636":887,"637":890,"639":894,"640":895,"641":896,"642":898,"643":899,"644":900,"645":901,"646":902,"647":903,"648":904,"649":906,"650":909,"651":911,"652":913,"653":914,"654":916,"655":918,"656":920,"657":923,"658":924,"659":926,"660":927,"661":928,"662":929,"663":932,"664":939,"665":941,"666":942,"667":944,"668":949,"669":950,"670":953,"671":954,"672":955,"673":957,"674":959,"675":960,"676":963,"677":964,"678":965,"679":967,"680":969,"681":973,"682":974,"683":975,"684":976,"685":979,"686":981,"687":984,"688":985,"689":986,"690":987,"691":989,"692":990,"693":993,"694":995,"695":996,"696":997,"697":1000,"698":1001,"699":1008,"700":1013,"701":1014,"702":1015,"703":1020,"704":1021,"705":1023},{"0":0,"1":2,"2":7,"3":8,"4":9,"5":13,"6":16,"7":39,"8":61,"9":75,"10":88,"11":93,"12":99,"13":103,"14":104,"15":106,"16":125,"17":146,"18":164,"19":171,"20":222,"21":224,"22":227,"23":230,"24":243,"25":248,"26":251,"27":264,"28":277,"29":285,"30":293,"31":296,"32":303,"33":309,"34":311,"35":313,"36":317,"37":319,"38":347,"39":361,"40":388,"41":397,"42":399,"43":401,"44":412,"45":424,"46":434,"47":466,"48":471,"49":473,"50":477,"51":481,"52":486,"53":492,"54":505,"55":510,"56":513,"58":521,"59":522,"60":525,"61":529,"62":535,"63":536,"64":543,"65":544,"66":549,"67":550,"68":551,"69":553,"70":554,"71":557,"72":559,"74":562,"75":574,"76":575,"77":585,"78":597,"79":598,"80":605,"81":607,"82":610,"83":612,"84":613,"85":626,"86":635,"87":636,"88":637,"89":644,"90":652,"91":654,"92":661,"93":668,"94":672,"95":673,"97":680,"98":683,"99":687,"100":692,"101":695,"102":698,"103":699,"104":701,"105":708,"106":711,"107":714,"108":721,"109":723,"110":732,"111":734,"112":738,"113":739,"114":746,"115":747,"116":749,"117":750,"118":752,"119":761,"120":763,"121":764,"122":769,"123":770,"124":774,"125":775,"126":776,"127":791,"129":795,"130":799,"131":815,"132":818,"133":823,"134":828,"135":830,"136":832,"137":839,"138":840,"139":842,"140":843,"141":845,"142":849,"143":852,"144":855,"145":861,"146":862,"147":865,"148":870,"149":875,"150":886,"151":893,"152":905,"153":910,"154":919,"155":921,"156":922,"157":931,"158":933,"159":935,"160":936,"161":937,"162":938,"163":940,"164":943,"165":945,"166":947,"167":956,"168":968,"169":970,"170":971,"171":980,"172":982,"173":991,"174":992,"175":994,"176":998,"177":999,"178":1002,"179":1003,"180":1004,"181":1009,"182":1010,"183":1012,"184":1017,"185":1018,"186":1019,"187":1022},{"0":239,"1":468,"2":552,"3":565,"4":581,"5":583,"6":589,"7":590,"8":591,"9":601,"10":602,"11":618,"12":620,"13":623,"14":633,"15":666,"16":671,"17":682,"18":702,"19":704,"20":719,"21":722,"22":742,"23":743,"24":777,"25":778,"26":784,"27":785,"28":812,"29":819,"30":838,"31":848,"32":853,"33":877,"34":881,"35":888,"36":907,"37":912,"38":934,"40":962,"41":972,"42":1007,"43":1011},{"0":512,"1":537,"2":540,"3":573,"4":638,"5":651,"6":655,"7":657,"8":689,"9":782,"10":806,"11":833,"12":841,"14":891,"15":897,"16":925,"17":930,"18":966,"19":978},{"1":640,"2":646,"3":674,"4":690,"5":694,"6":705,"7":758,"8":767,"9":787,"10":826,"11":846,"12":915,"13":946,"14":951},{"1":539,"2":718,"3":729,"4":730,"5":735,"6":741,"7":789,"8":872},{"1":558,"3":794,"5":1016},{"0":528,"1":548,"2":659,"3":679,"4":779,"5":827,"6":958,"7":977,"9":1006},{"0":516,"1":604,"2":616,"3":639,"5":677,"6":710,"7":728,"8":796,"9":820,"10":961},[628,856,908,952,983],[556,653,669,857,917],[727,733],[754,867]]