[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":7,"7":9,"8":10,"9":11,"10":12,"11":13,"12":14,"13":15,"14":17,"15":18,"16":19,"17":20,"18":21,"19":22,"20":23,"21":24,"22":25,"23":26,"24":27,"25":28,"27":30,"28":31,"29":33,"30":34,"31":35,"32":36,"33":37,"34":38,"35":39,"36":40,"37":41,"38":42,"39":43,"40":44,"41":46,"42":47,"43":48,"44":49,"45":50,"46":51,"47":52,"48":53,"49":54,"50":55,"51":56,"52":57,"53":58,"55":60,"56":61,"57":62,"58":63,"59":64,"60":66,"61":67,"62":68,"63":69,"64":70,"65":71,"66":72,"67":73,"68":74,"71":77,"72":78,"73":79,"74":80,"75":81,"76":82,"77":83,"78":85,"79":86,"80":87,"81":88,"83":91,"84":92,"85":93,"86":94,"87":95,"88":96,"89":97,"90":98,"91":100,"92":101,"93":102,"94":103,"95":104,"96":105,"97":106,"98":108,"99":109,"100":110,"101":111,"102":112,"103":113,"104":114,"105":115,"106":116,"107":117,"108":119,"109":120,"110":122,"111":123,"112":125,"113":126,"114":127,"115":128,"116":129,"117":130,"118":131,"119":132,"120":133,"121":134,"122":135,"123":136,"124":137,"125":138,"126":139,"127":141,"128":142,"130":144,"131":146,"132":147,"133":148,"134":149,"135":150,"136":151,"137":152,"138":153,"139":154,"140":155,"141":156,"142":157,"143":158,"144":159,"145":160,"146":161,"147":162,"148":163,"149":164,"150":165,"151":166,"152":167,"153":168,"154":169,"155":170,"156":171,"157":173,"158":174,"159":175,"160":176,"161":177,"162":178,"163":180,"164":181,"165":182,"166":183,"167":186,"168":187,"169":188,"170":189,"171":190,"172":191,"173":192,"174":193,"175":194,"176":195,"177":196,"178":199,"179":200,"180":201,"181":202,"182":203,"183":204,"184":205,"185":206,"186":207,"187":208,"188":210,"189":211,"190":212,"191":213,"192":214,"193":215,"194":216,"195":219,"196":220,"197":221,"198":222,"199":223,"200":224,"201":225,"202":226,"203":227,"204":228,"205":229,"206":231,"207":232,"208":233,"209":234,"210":235,"211":237,"212":238,"213":239,"214":240,"215":241,"216":242,"217":243,"218":245,"219":246,"220":247,"221":248,"222":249,"223":250,"224":251,"225":252,"226":253,"227":254,"228":256,"229":257,"230":258,"231":259,"232":260,"234":263,"235":264,"236":265,"237":266,"238":267,"239":268,"240":269,"241":270,"242":271,"243":272,"244":273,"245":274,"246":275,"247":276,"248":277,"249":278,"250":279,"251":280,"252":281,"253":282,"254":283,"255":284,"256":285,"257":286,"258":287,"259":288,"260":289,"261":290,"262":291,"263":292,"264":293,"265":294,"266":295,"267":296,"268":298,"269":299,"270":300,"271":301,"272":302,"273":303,"274":304,"275":305,"276":306,"277":307,"278":308,"279":309,"280":311,"282":314,"283":315,"284":316,"285":317,"286":318,"288":320,"289":321,"290":322,"291":324,"293":326,"294":327,"295":328,"296":329,"297":330,"298":331,"299":332,"301":334,"302":335,"303":336,"304":337,"305":338,"306":339,"307":340,"308":341,"309":342,"310":343,"311":344,"313":348,"314":349,"315":350,"316":351,"317":352,"318":353,"319":354,"320":355,"321":356,"322":358,"323":359,"324":360,"325":361,"326":362,"327":363,"328":364,"329":366,"330":368,"331":369,"332":370,"333":371,"334":372,"335":373,"336":374,"337":375,"338":376,"339":377,"340":378,"341":380,"342":381,"344":383,"345":385,"346":386,"347":387,"348":388,"349":389,"350":390,"351":391,"352":392,"353":393,"354":394,"355":395,"356":396,"357":398,"358":399,"359":400,"360":401,"361":402,"362":403,"363":404,"364":405,"365":406,"366":407,"367":408,"368":409,"369":410,"370":412,"371":413,"372":415,"373":416,"374":417,"375":418,"376":419,"377":420,"378":421,"379":424,"380":425,"381":427,"382":429,"383":430,"386":434,"387":436,"388":437,"389":438,"390":440,"391":441,"392":442,"393":443,"394":444,"395":445,"396":446,"397":448,"398":449,"399":451,"400":453,"401":454,"402":455,"403":456,"404":457,"405":458,"406":459,"407":460,"408":461,"409":462,"410":463,"411":464,"413":466,"414":467,"415":468,"416":469,"417":470,"418":471,"419":472,"420":473,"421":474,"422":475,"423":478,"424":479,"425":482,"426":483,"427":484,"428":490,"429":493,"430":494,"431":495,"432":496,"433":497,"434":499,"435":500,"436":501,"437":503,"438":505,"439":506,"440":507,"441":508,"442":509,"443":510,"444":511,"445":515,"446":519,"447":522,"448":524,"449":526,"450":528,"451":529,"452":530,"453":531,"454":536,"455":538,"456":540,"457":541,"458":544,"459":545,"460":547,"461":551,"462":553,"463":554,"464":559,"465":565,"466":567,"467":572,"468":576,"469":579,"470":580,"471":582,"472":589,"473":591,"474":594,"475":596,"476":599,"477":601,"478":603,"479":605,"480":606,"481":608,"482":614,"483":620,"484":622,"485":623,"486":626,"487":632,"488":633,"489":634,"490":640,"491":641,"492":652,"493":654,"494":655,"495":658,"496":660,"497":662,"498":665,"499":666,"500":667,"501":668,"502":669,"503":674,"504":675,"505":676,"506":678,"507":679,"508":684,"509":687,"510":688,"511":689,"512":693,"513":694,"514":700,"515":702,"516":705,"517":707,"518":710,"519":713,"520":714,"521":716,"522":718,"523":722,"524":727,"525":731,"526":732,"527":734,"528":740,"529":741,"530":743,"531":746,"532":747,"533":751,"534":756,"535":758,"536":763,"537":765,"538":766,"539":768,"540":777,"541":780,"542":788,"543":791,"544":797,"545":798,"546":802,"547":813,"548":818,"549":823,"550":835,"551":837,"552":838,"553":839,"554":840,"555":843,"556":845,"557":847,"558":848,"559":851,"560":853,"561":854,"562":855,"563":857,"564":861,"565":870,"566":872,"567":873,"568":876,"569":880,"570":882,"571":888,"572":889,"573":891,"574":893,"575":897,"576":898,"577":900,"578":901,"579":903,"580":905,"581":906,"582":908,"583":909,"584":911,"585":912,"586":913,"587":918,"588":919,"589":921,"590":924,"591":925,"592":927,"593":929,"594":930,"595":934,"596":939,"597":942,"598":943,"599":945,"600":950,"601":951,"602":954,"603":956,"604":957,"605":961,"606":962,"607":964,"608":965,"609":966,"610":968,"611":969,"612":977,"613":979,"614":981,"615":988,"616":992,"617":996,"618":998,"619":999,"620":1001,"621":1004,"622":1009,"623":1011,"624":1014,"625":1020,"626":1022},{"0":6,"1":8,"2":16,"3":32,"4":45,"5":65,"6":84,"7":90,"8":99,"9":107,"10":118,"11":121,"12":124,"13":140,"14":145,"15":172,"16":179,"17":184,"18":185,"19":197,"20":198,"21":209,"22":217,"23":218,"24":230,"25":236,"26":244,"27":255,"28":262,"29":297,"30":310,"31":313,"32":323,"33":345,"34":347,"35":357,"36":365,"37":367,"38":379,"39":384,"40":397,"41":411,"42":422,"43":423,"44":426,"45":428,"46":432,"47":435,"48":447,"49":450,"50":452,"51":476,"52":477,"53":480,"54":481,"55":485,"56":486,"57":487,"58":488,"59":489,"60":491,"61":492,"62":498,"63":502,"64":504,"65":513,"66":518,"67":520,"68":523,"70":534,"71":539,"72":546,"73":557,"74":558,"75":561,"76":562,"77":564,"78":568,"79":570,"80":574,"81":575,"82":592,"83":597,"84":598,"85":600,"86":602,"87":609,"88":612,"89":615,"90":616,"91":619,"92":624,"93":629,"95":637,"96":648,"97":649,"98":653,"99":657,"100":659,"102":672,"103":677,"104":682,"105":695,"106":696,"107":699,"108":701,"109":703,"110":706,"111":726,"112":729,"113":730,"114":738,"115":742,"116":749,"117":754,"118":759,"119":764,"120":773,"121":776,"122":779,"123":790,"124":801,"125":810,"126":815,"127":820,"128":821,"129":824,"130":826,"131":827,"132":829,"133":830,"134":831,"135":832,"136":834,"137":842,"138":856,"139":862,"140":867,"141":869,"142":871,"143":874,"144":877,"145":890,"146":894,"147":902,"148":904,"150":917,"151":920,"152":936,"153":944,"154":947,"155":949,"156":955,"157":960,"158":963,"159":967,"160":970,"161":972,"162":976,"163":980,"164":982,"165":986,"166":1000,"167":1012,"168":1013,"169":1016,"170":1021},[414,439,514,527,535,537,581,586,588,643,644,646,650,656,681,692,708,711,723,724,735,737,753,771,778,784,786,787,804,806,808,811,816,825,828,841,849,850,865,884,922,928,933,938,952,984,995,1003,1005,1006,1007,1010,1017],[516,517,525,543,560,571,617,627,631,647,663,673,686,691,698,715,725,728,733,736,744,748,755,789,795,859,875,879,885,886,892,895,907,910,937,948,971,973,978,983,993,997,1002],[542,548,549,555,556,618,630,645,651,661,664,670,697,709,712,720,745,750,760,767,800,846,852,860,866,883,887,896,959,974,989,991,1015],[521,533,552,573,578,587,593,636,639,680,683,769,785,792,793,805,819,864,868,878,916,923,935,987,1008,1023],[512,566,583,585,611,621,628,717,719,739,761,772,783,809,812,817,836,931,932,940,941,953,990,994],[550,563,577,584,590,610,625,642,685,690,704,757,794,814,844,958,1019],[569,604,607,638,762,770,775,782,796,803,807,881,899,946],[721,781,822,926,1018],[613,858,863,975,985],[595,799,833],[752,914],[774]]