[{"0":0,"1":1,"2":3,"3":4,"4":5,"5":6,"6":7,"7":9,"8":10,"9":11,"10":12,"11":13,"12":14,"13":15,"14":16,"15":18,"16":19,"17":20,"18":21,"19":22,"20":24,"21":25,"22":26,"24":28,"25":29,"26":30,"27":33,"28":34,"29":35,"30":36,"31":37,"32":38,"33":39,"34":40,"35":41,"36":42,"37":43,"38":44,"39":45,"40":46,"41":47,"42":48,"43":49,"44":51,"45":52,"46":53,"47":54,"48":55,"49":56,"50":57,"51":58,"52":59,"53":60,"54":61,"55":62,"56":63,"57":64,"58":65,"59":66,"60":67,"61":68,"62":70,"64":72,"65":73,"66":74,"68":76,"69":77,"70":78,"71":79,"72":80,"74":82,"75":83,"76":84,"77":85,"78":86,"79":87,"80":88,"81":89,"82":90,"83":91,"84":92,"85":93,"86":94,"87":95,"88":96,"89":97,"90":98,"91":99,"92":100,"93":101,"94":102,"95":103,"96":104,"97":105,"98":106,"99":107,"100":108,"101":109,"102":110,"103":111,"104":112,"105":113,"106":114,"107":115,"108":116,"109":117,"110":119,"111":120,"112":121,"114":123,"115":124,"116":125,"117":126,"118":127,"119":128,"120":129,"121":130,"122":131,"123":132,"124":134,"126":136,"127":137,"128":138,"129":139,"130":140,"131":141,"132":142,"133":143,"134":144,"135":145,"136":146,"137":147,"138":148,"139":149,"140":150,"141":151,"142":153,"143":154,"144":155,"145":156,"146":157,"147":158,"148":159,"149":160,"150":161,"151":162,"152":163,"153":164,"154":167,"155":168,"156":169,"157":170,"158":171,"159":172,"161":174,"162":175,"163":176,"164":177,"165":178,"166":179,"167":180,"168":181,"169":182,"170":183,"171":184,"172":185,"173":186,"174":187,"175":188,"176":189,"177":192,"178":193,"179":194,"180":195,"181":196,"182":197,"183":198,"184":199,"185":200,"186":201,"187":202,"188":203,"189":204,"190":205,"191":206,"192":207,"193":208,"194":209,"195":210,"196":211,"197":212,"198":213,"199":214,"200":215,"201":216,"202":217,"203":218,"204":219,"205":220,"206":221,"207":222,"208":223,"209":224,"210":225,"211":226,"212":227,"213":228,"214":229,"215":230,"216":231,"217":232,"218":233,"219":234,"220":235,"221":236,"222":238,"223":239,"224":240,"225":242,"226":243,"227":244,"228":245,"229":246,"230":247,"231":248,"232":249,"233":250,"234":251,"235":252,"236":253,"237":254,"238":255,"239":257,"240":258,"241":259,"242":261,"243":262,"244":263,"245":264,"246":265,"247":266,"248":268,"249":269,"250":270,"251":271,"252":272,"253":273,"254":274,"255":276,"256":278,"257":279,"258":280,"259":281,"260":282,"262":284,"263":285,"264":286,"265":287,"266":288,"267":289,"268":290,"269":291,"270":292,"271":293,"272":294,"273":295,"274":296,"275":297,"276":298,"277":299,"278":300,"279":301,"280":302,"281":303,"282":304,"283":305,"284":306,"286":308,"287":309,"288":310,"289":311,"290":312,"291":314,"292":315,"293":317,"294":318,"295":319,"296":320,"297":321,"298":322,"299":323,"300":324,"301":325,"302":326,"303":327,"304":328,"305":329,"306":330,"307":331,"308":332,"309":333,"310":334,"311":335,"312":336,"313":337,"314":338,"315":339,"316":340,"317":341,"318":342,"319":343,"320":344,"321":345,"322":346,"323":347,"324":348,"325":349,"327":352,"328":353,"329":354,"330":355,"331":356,"332":357,"333":358,"334":360,"335":361,"336":362,"337":363,"338":364,"339":365,"340":366,"341":367,"342":368,"343":369,"344":370,"345":371,"346":372,"347":373,"348":374,"349":375,"350":376,"351":377,"352":378,"353":379,"354":380,"355":381,"356":382,"357":383,"358":384,"359":385,"361":387,"362":389,"363":390,"364":391,"365":392,"366":393,"367":394,"368":395,"370":397,"371":398,"372":399,"373":400,"374":401,"375":402,"376":403,"377":405,"378":406,"379":407,"380":408,"381":409,"382":410,"383":411,"384":412,"385":413,"386":414,"387":415,"388":416,"389":417,"390":418,"391":419,"392":420,"393":421,"394":422,"395":423,"396":424,"397":425,"398":426,"399":427,"400":428,"401":429,"402":430,"403":431,"404":432,"405":433,"406":434,"407":435,"408":436,"409":438,"410":439,"411":440,"412":441,"413":442,"414":443,"415":444,"416":445,"417":446,"418":447,"419":448,"420":449,"421":454,"422":455,"423":456,"424":457,"425":458,"426":459,"427":460,"428":462,"429":464,"430":465,"431":468,"432":470,"433":473,"434":474,"435":476,"436":477,"437":479,"438":480,"439":481,"440":482,"441":483,"442":485,"443":487,"444":488,"445":489,"446":493,"447":494,"448":496,"449":497,"450":498,"451":499,"452":500,"453":501,"454":502,"455":506,"456":507,"457":508,"458":509,"459":510,"460":511,"461":512,"462":514,"463":515,"464":516,"465":518,"466":522,"467":523,"468":525,"469":526,"470":527,"471":528,"472":530,"473":533,"474":534,"475":535,"476":537,"477":538,"478":539,"479":540,"480":541,"481":542,"482":543,"483":544,"484":545,"485":546,"486":548,"487":549,"488":550,"489":551,"490":552,"491":553,"492":554,"493":555,"494":556,"495":557,"496":558,"497":559,"498":563,"499":565,"500":566,"501":568,"502":570,"503":571,"504":573,"505":575,"506":576,"507":577,"508":580,"509":583,"510":587,"511":588,"512":590,"513":594,"514":598,"515":600,"516":602,"517":603,"518":604,"519":605,"520":608,"521":609,"522":610,"523":611,"524":612,"525":616,"526":617,"527":618,"528":619,"529":620,"530":621,"531":624,"532":625,"533":626,"534":627,"535":630,"536":632,"537":633,"538":634,"539":635,"540":637,"541":639,"542":640,"543":641,"544":642,"545":643,"546":644,"547":646,"548":647,"549":651,"550":652,"551":654,"552":655,"553":658,"554":659,"555":660,"556":661,"557":663,"558":664,"559":665,"560":667,"561":668,"562":670,"563":671,"564":672,"565":673,"566":676,"567":677,"568":679,"569":683,"570":684,"571":685,"572":686,"573":687,"574":688,"575":689,"576":690,"577":691,"578":695,"579":696,"580":697,"581":698,"582":700,"583":701,"584":702,"585":704,"586":709,"587":710,"588":711,"589":712,"590":716,"591":717,"592":718,"593":719,"594":720,"595":721,"596":723,"597":724,"598":725,"599":727,"600":728,"601":730,"602":731,"603":734,"604":736,"605":737,"606":738,"607":740,"608":741,"609":744,"610":745,"611":746,"612":749,"613":750,"614":752,"615":754,"616":755,"617":756,"618":757,"619":758,"620":759,"621":762,"622":763,"623":766,"624":767,"625":768,"626":769,"627":770,"628":772,"629":773,"630":774,"631":775,"632":776,"633":779,"634":780,"635":781,"636":782,"637":783,"638":784,"639":785,"640":786,"641":791,"642":792,"643":793,"644":794,"645":795,"646":796,"647":798,"648":800,"649":801,"650":802,"651":803,"652":805,"653":807,"654":808,"655":810,"656":811,"657":812,"658":813,"659":814,"660":815,"661":816,"662":817,"663":818,"664":819,"665":820,"666":821,"667":822,"668":823,"669":826,"670":827,"671":828,"672":830,"673":831,"674":833,"675":834,"676":835,"677":836,"678":837,"679":838,"680":839,"681":841,"682":842,"683":843,"684":844,"685":845,"686":846,"687":847,"688":848,"689":849,"690":850,"691":853,"692":854,"693":855,"694":856,"695":857,"696":858,"697":859,"698":860,"699":861,"700":863,"701":864,"702":865,"703":866,"704":867,"705":871,"706":872,"707":873,"708":876,"709":879,"710":880,"711":881,"712":884,"713":885,"714":887,"715":888,"716":889,"717":890},[8,17,23,31,32,50,69,118,133,152,165,166,190,191,237,241,260,267,275,277,313,316,351,359,388,404,437,450,452,453,466,467,471,478,484,486,490,491,492,495,503,513,517,519,521,524,529,531,532,536,560,561,562,564,567,569,572,578,579,581,582,585,591,593,595,596,597,599,601,606,607,613,614,623,628,631,645,648,649,650,653,656,662,674,678,681,682,692,693,699,705,708,713,714,715,722,729,733,735,739,743,747,751,753,760,761,771,778,788,789,799,804,809,829,832,840,852,862,868,870,874,875,877,882,883,886],{"0":2,"1":256,"2":451,"3":461,"4":463,"5":469,"6":472,"7":504,"8":505,"9":592,"11":622,"12":636,"13":666,"14":680,"15":694,"16":703,"17":742,"18":777,"19":787,"20":790,"21":797,"22":806,"23":824},{"0":574,"2":586,"3":589,"4":706,"6":764,"7":825,"8":878,"9":891},{"1":629,"6":851},[],[]]