[{"0":0,"1":2,"3":4,"4":5,"5":6,"6":7,"7":8,"8":9,"9":11,"10":13,"11":14,"12":15,"13":16,"14":17,"16":20,"17":21,"19":23,"21":25,"22":26,"23":27,"24":28,"25":29,"26":30,"27":31,"28":32,"29":33,"30":35,"31":36,"32":37,"33":38,"34":39,"35":40,"36":41,"37":42,"38":43,"39":44,"40":45,"41":47,"42":48,"43":49,"44":50,"45":51,"46":52,"47":53,"48":54,"50":56,"51":57,"52":58,"53":60,"54":61,"55":62,"56":63,"57":64,"58":65,"59":66,"60":67,"61":68,"62":69,"63":71,"65":73,"66":74,"68":77,"69":78,"70":81,"71":83,"72":84,"73":85,"74":87,"75":88,"76":89,"77":90,"78":91,"79":92,"80":93,"81":94,"82":95,"83":96,"84":99,"85":100,"86":101,"87":102,"88":103,"89":104,"90":105,"91":106,"92":107,"93":108,"94":109,"95":110,"96":111,"97":113,"98":114,"99":115,"100":117,"101":118,"103":120,"104":121,"105":124,"107":126,"108":127,"109":128,"110":129,"111":130,"112":131,"113":132,"114":133,"115":134,"116":135,"117":137,"118":138,"119":139,"120":140,"121":141,"122":142,"124":144,"125":145,"126":146,"127":147,"128":148,"130":150,"131":151,"132":152,"133":153,"134":154,"135":155,"136":156,"137":157,"138":158,"139":159,"140":160,"142":162,"143":163,"144":165,"145":166,"146":167,"147":168,"148":169,"149":170,"150":171,"151":174,"152":175,"153":176,"154":177,"155":178,"156":179,"157":180,"158":181,"159":182,"160":184,"161":186,"162":187,"163":191,"164":192,"165":193,"166":194,"167":195,"168":196,"169":197,"170":199,"171":200,"172":201,"173":203,"174":207,"175":208,"176":209,"177":210,"178":211,"179":212,"180":213,"181":214,"182":216,"183":217,"184":218,"185":219,"186":220,"187":221,"188":222,"189":223,"190":224,"191":225,"192":226,"193":228,"194":229,"195":230,"197":232,"198":233,"199":234,"200":235,"201":237,"202":238,"203":239,"204":240,"205":241,"206":242,"207":243,"208":244,"209":245,"210":246,"211":247,"212":248,"213":249,"214":250,"215":251,"216":252,"218":254,"219":255,"220":256,"221":257,"222":258,"223":259,"224":260,"225":261,"226":262,"227":263,"228":264,"229":265,"230":266,"232":268,"233":269,"235":271,"236":272,"237":273,"238":274,"239":275,"240":277,"241":278,"242":279,"243":280,"244":281,"245":282,"246":283,"247":284,"248":285,"249":286,"250":287,"251":288,"252":289,"253":290,"254":291,"255":292,"256":293,"257":294,"258":295,"259":296,"260":297,"261":298,"262":299,"263":301,"264":302,"265":303,"266":304,"267":305,"268":306,"269":308,"270":309,"271":310,"272":311,"273":313,"274":314,"275":315,"277":317,"278":318,"279":320,"280":321,"281":322,"282":323,"283":324,"284":325,"285":326,"286":327,"287":328,"289":330,"290":331,"291":332,"292":333,"293":334,"294":336,"295":337,"296":338,"297":339,"298":340,"299":342,"300":343,"301":344,"302":345,"304":347,"305":348,"306":349,"307":350,"308":351,"309":352,"310":353,"311":354,"312":356,"313":357,"314":358,"315":359,"316":360,"317":361,"318":362,"319":363,"320":364,"321":365,"322":366,"323":368,"325":371,"326":372,"327":373,"328":374,"330":376,"331":377,"332":378,"334":380,"335":381,"336":382,"337":383,"338":384,"339":385,"340":386,"341":387,"342":388,"343":389,"344":390,"346":392,"347":393,"348":394,"349":396,"350":398,"351":399,"352":400,"353":401,"354":402,"355":403,"356":404,"357":406,"358":407,"359":408,"360":409,"361":410,"362":411,"363":412,"364":413,"365":414,"366":415,"367":416,"368":417,"369":419,"370":420,"371":421,"372":422,"373":425,"374":427,"375":428,"376":429,"377":430,"378":431,"379":432,"380":433,"381":434,"382":435,"383":436,"384":438,"385":447,"386":448,"387":451,"388":454,"389":457,"390":459,"391":460,"392":461,"393":463,"394":465,"395":468,"396":469,"397":470,"398":471,"399":475,"400":476,"401":477,"402":479,"403":480,"404":483,"405":484,"406":485,"407":489,"408":491,"409":492,"410":493,"411":495,"412":496,"413":497,"414":499,"415":500,"416":501,"417":503,"418":505,"419":511,"420":512,"421":513,"422":514,"423":515,"424":516,"425":523,"426":526,"427":527,"428":532,"429":533,"430":534,"431":537,"432":538,"433":539,"434":541,"435":543,"436":546,"437":550,"438":551,"439":555,"440":560,"441":562,"442":563,"443":564,"444":566,"445":567,"446":569,"447":570,"448":573,"449":574,"450":576,"451":578,"452":579,"453":583,"454":585,"455":587,"456":590,"457":592,"458":597,"459":598,"460":600,"461":601,"462":603,"463":606,"464":608,"465":609,"466":611,"467":612,"468":613,"469":617,"470":619,"471":622,"472":625,"473":626,"474":627,"475":631,"476":633,"477":636,"478":639,"479":641,"480":642,"481":643,"482":645,"483":648,"484":650,"485":651,"486":656,"487":661,"488":662,"489":663,"490":666,"491":667,"492":670,"493":671,"494":674,"495":677,"496":679,"497":683,"498":684,"499":685,"500":688,"501":689,"502":691,"503":693,"504":694,"505":698,"506":699,"507":700,"508":701,"509":705,"510":709,"511":710,"512":711,"513":712,"514":717,"515":718,"516":719,"517":720,"518":722,"519":723,"520":725,"521":726,"522":728,"523":731,"524":734,"525":736,"526":739,"527":740,"528":741,"529":742,"530":743,"531":744,"532":747,"533":748,"534":750,"535":751,"536":753,"537":754,"538":755,"539":756,"540":761,"541":762,"542":763,"543":764,"544":766,"545":768,"546":770,"547":772,"548":773,"549":774,"550":775,"551":778,"552":784,"553":786,"554":787,"555":791,"556":792,"557":794,"558":795,"559":797,"560":798,"561":800,"562":801,"563":804,"564":805,"565":806,"566":807,"567":808,"568":809,"569":810,"570":811,"571":812,"572":814,"573":818,"574":821,"575":823,"576":826,"577":829,"578":830,"579":831,"580":834,"581":838,"582":839,"583":840,"584":842,"585":844,"586":846,"587":849,"588":850,"589":851,"590":852,"591":853,"592":854,"593":855,"594":857,"595":858,"596":861,"597":866,"598":867,"599":869,"600":870,"601":873,"602":877},{"0":1,"1":12,"2":19,"3":34,"4":46,"5":59,"6":70,"7":75,"8":79,"9":80,"10":82,"11":86,"12":97,"13":98,"14":112,"15":116,"16":122,"17":123,"18":136,"19":164,"20":172,"21":183,"22":185,"23":188,"24":189,"25":190,"26":198,"27":204,"28":205,"29":206,"30":215,"31":227,"32":236,"33":300,"34":307,"35":312,"36":319,"37":335,"38":355,"39":367,"40":397,"41":418,"42":423,"43":424,"44":426,"45":437,"46":439,"47":440,"48":441,"49":445,"50":449,"51":450,"52":452,"53":453,"54":455,"55":456,"56":462,"57":467,"58":472,"59":478,"60":486,"61":487,"62":488,"63":494,"64":498,"65":504,"66":508,"67":510,"68":517,"69":518,"70":519,"71":520,"72":521,"73":522,"74":524,"75":529,"76":530,"77":531,"78":536,"79":540,"80":547,"81":548,"82":549,"83":552,"84":553,"85":554,"86":556,"87":561,"88":575,"89":577,"91":581,"92":582,"93":584,"94":586,"95":588,"96":589,"97":593,"99":595,"100":596,"101":602,"102":604,"103":607,"104":610,"105":614,"106":616,"107":621,"108":624,"109":629,"110":630,"111":634,"112":635,"113":637,"114":638,"115":640,"116":644,"117":646,"118":647,"119":654,"120":655,"121":657,"122":658,"123":659,"124":660,"125":668,"126":676,"127":680,"128":681,"129":687,"130":690,"131":695,"132":696,"133":697,"134":703,"135":704,"136":707,"137":715,"138":716,"139":721,"140":724,"141":730,"142":737,"143":738,"144":749,"145":757,"146":759,"147":760,"148":765,"149":767,"150":785,"151":788,"152":789,"153":790,"154":793,"155":796,"156":813,"157":815,"158":816,"159":822,"160":824,"161":825,"162":827,"163":828,"164":832,"165":833,"166":836,"167":837,"168":841,"169":843,"170":847,"171":856,"172":865,"173":872,"174":876,"175":878,"176":879},[10,173,202,276,341,370,395,405,442,443,458,482,502,507,557,558,559,572,623,632,649,653,664,682,686,702,713,733,745,746,752,758,769,777,780,783,817,820,835,845,848,859,871],{"0":464,"1":466,"2":473,"3":474,"4":481,"5":509,"6":525,"7":544,"8":545,"9":565,"10":571,"11":591,"12":605,"13":652,"14":669,"15":673,"16":675,"17":678,"18":692,"20":735,"22":776,"23":781,"24":782,"25":860,"26":862,"27":864,"28":874,"29":875},{"0":490,"1":528,"2":542,"3":599,"5":620,"7":706,"8":708,"10":729,"11":779,"12":819},[446,506,535,714],[444,568,665,672,802,803],[618,868],[863],[]]