[{"0":0,"1":1,"3":3,"4":4,"5":5,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"12":14,"13":15,"14":16,"16":19,"17":20,"18":21,"19":22,"20":23,"21":24,"22":25,"23":26,"24":27,"25":28,"26":29,"27":30,"28":31,"29":32,"30":33,"31":34,"32":35,"33":36,"34":38,"35":39,"36":42,"37":43,"38":44,"40":46,"41":47,"42":48,"43":50,"44":52,"45":53,"46":54,"47":55,"48":56,"49":57,"50":59,"51":60,"52":61,"53":62,"54":63,"55":64,"56":65,"57":66,"58":67,"59":68,"60":69,"61":70,"62":71,"63":72,"64":73,"65":74,"66":75,"67":76,"68":77,"69":78,"70":79,"71":80,"72":81,"73":82,"74":83,"75":84,"76":85,"77":86,"78":88,"79":89,"80":90,"81":91,"82":92,"83":93,"84":94,"85":95,"86":96,"87":97,"88":98,"89":101,"90":102,"91":103,"92":104,"93":105,"94":106,"95":108,"96":109,"97":110,"98":111,"100":113,"101":114,"102":115,"103":116,"104":117,"105":118,"106":119,"107":120,"108":121,"109":122,"111":125,"113":127,"114":129,"115":130,"117":132,"118":133,"119":134,"120":135,"121":136,"122":137,"123":138,"124":140,"125":141,"126":142,"127":143,"128":144,"129":146,"130":149,"131":150,"132":151,"133":153,"134":154,"135":155,"136":156,"137":157,"138":158,"139":159,"140":160,"141":162,"142":163,"143":166,"144":167,"145":168,"146":169,"147":170,"148":171,"149":172,"150":173,"151":174,"152":175,"153":176,"154":177,"155":179,"156":181,"157":182,"158":184,"159":185,"160":186,"161":187,"162":188,"163":190,"164":191,"165":192,"166":193,"167":194,"168":197,"169":198,"170":200,"171":201,"172":202,"173":203,"174":205,"175":206,"176":207,"177":208,"178":210,"179":211,"180":212,"181":213,"182":214,"183":215,"184":218,"185":219,"186":220,"187":221,"188":222,"189":223,"190":224,"191":226,"192":228,"193":230,"194":231,"195":232,"196":233,"197":234,"198":236,"199":237,"200":238,"201":239,"202":240,"203":241,"205":243,"206":244,"207":245,"208":246,"209":247,"210":249,"211":250,"212":251,"213":253,"214":254,"215":255,"216":256,"217":257,"218":258,"219":259,"220":260,"221":261,"222":263,"224":265,"225":266,"226":267,"227":268,"228":269,"229":271,"230":273,"231":274,"232":275,"233":276,"234":277,"235":278,"236":279,"237":280,"238":281,"239":282,"240":283,"241":284,"242":286,"243":287,"244":289,"245":290,"246":291,"247":292,"248":293,"249":294,"250":295,"251":296,"252":297,"254":301,"255":302,"257":306,"259":308,"260":310,"261":311,"262":312,"263":313,"264":314,"265":315,"266":316,"267":317,"268":318,"269":322,"270":323,"271":324,"272":325,"273":327,"274":328,"275":329,"276":330,"277":331,"278":333,"279":334,"280":335,"281":336,"282":337,"283":338,"284":340,"285":341,"286":342,"288":344,"289":345,"290":346,"291":347,"292":348,"293":349,"294":350,"295":351,"296":352,"297":354,"298":356,"299":358,"300":359,"301":360,"303":363,"305":365,"306":366,"307":368,"308":369,"309":370,"310":371,"311":372,"312":374,"313":375,"314":376,"315":378,"316":379,"317":380,"318":381,"319":382,"320":383,"321":384,"322":385,"323":386,"324":387,"325":388,"326":389,"327":390,"328":391,"329":392,"330":393,"331":394,"332":395,"333":397,"334":398,"335":399,"336":400,"337":401,"338":402,"339":403,"340":404,"342":406,"343":407,"344":408,"345":409,"346":410,"347":412,"348":413,"349":414,"350":415,"351":417,"352":418,"353":419,"354":420,"355":421,"356":422,"357":423,"358":424,"359":426,"360":428,"361":429,"362":430,"363":431,"364":432,"365":433,"366":434,"367":435,"368":436,"369":438,"370":439,"371":440,"372":441,"373":442,"374":443,"375":444,"376":445,"377":446,"378":447,"379":448,"380":449,"381":450,"382":451,"383":453,"384":454,"385":455,"386":456,"387":457,"388":458,"389":459,"390":460,"391":461,"392":462,"393":463,"394":464,"395":466,"396":467,"397":469,"398":470,"399":471,"400":472,"401":473,"402":474,"403":475,"404":477,"405":478,"406":484,"407":487,"408":488,"409":489,"410":490,"411":491,"412":497,"413":499,"414":505,"415":506,"416":507,"417":512,"418":519,"419":520,"420":522,"421":523,"422":524,"423":531,"424":533,"425":536,"426":540,"427":544,"428":545,"429":547,"430":553,"431":556,"432":561,"433":568,"434":571,"435":573,"436":574,"437":577,"438":578,"439":581,"440":588,"441":589,"442":596,"443":598,"444":599,"445":602,"446":611,"447":615,"448":617,"449":621,"450":624,"451":630,"452":631,"453":632,"454":633,"455":636,"456":639,"457":642,"458":643,"459":644,"460":659,"461":664,"462":668,"463":672,"464":682,"465":683,"466":684,"467":687,"468":689,"469":691,"470":698,"471":699,"472":700,"473":702,"474":703,"475":705,"476":706,"477":721,"478":723,"479":727,"480":730,"481":731,"482":737,"483":741,"484":758,"485":759,"486":763,"487":764,"488":767,"489":770,"490":772,"491":776,"492":777,"493":780,"494":781,"495":783,"496":785,"497":788,"498":789,"499":790,"500":791,"501":793,"502":798,"503":802,"504":806,"505":811,"506":812,"507":813,"508":817,"509":818,"510":819,"511":821,"512":825,"513":827,"514":829,"515":830,"516":831,"517":834,"518":839,"519":846,"520":849,"521":852,"522":860,"523":861,"524":866,"525":871,"526":872,"527":873,"528":876,"529":882,"530":883,"531":886,"532":892,"533":895,"534":896,"535":898,"536":900,"537":901,"538":902,"539":906,"540":913,"541":916,"542":920,"543":924,"544":925,"545":927,"546":934,"547":935,"548":941,"549":953},[6,13,17,41,49,51,58,87,99,100,107,124,128,139,147,148,152,161,164,165,178,180,183,189,195,196,199,204,216,225,227,229,235,248,252,262,270,272,285,288,298,299,303,304,309,319,321,326,332,339,353,357,362,367,373,377,396,416,425,427,437,452,468,476,481,485,486,492,493,495,496,498,502,503,504,508,511,513,516,518,521,534,535,538,539,542,543,548,559,563,565,576,579,582,583,585,586,587,590,594,600,607,608,609,610,613,619,625,626,627,628,645,647,651,654,655,658,666,667,669,678,681,685,688,693,694,695,710,711,713,714,715,716,717,722,726,729,732,733,734,735,738,739,744,746,749,751,752,760,762,765,768,774,775,784,787,792,804,805,808,809,810,815,824,826,828,832,833,835,838,840,845,853,855,857,859,864,865,869,870,874,875,879,884,885,888,890,894,905,907,908,912,919,923,926,928,932,933,936,937,942,943,944,946,947,952],{"0":37,"1":40,"2":145,"3":209,"4":217,"5":320,"6":355,"7":411,"8":465,"9":480,"10":501,"11":509,"12":514,"13":517,"14":526,"15":527,"16":530,"17":532,"18":551,"19":552,"20":555,"21":557,"22":558,"23":560,"24":567,"25":569,"26":572,"27":575,"28":592,"29":603,"30":606,"31":618,"32":622,"33":635,"34":638,"35":646,"36":648,"38":656,"39":657,"40":660,"41":661,"42":670,"43":674,"44":680,"45":686,"46":690,"47":701,"48":704,"49":707,"50":708,"51":718,"52":719,"53":736,"54":740,"55":742,"56":743,"57":747,"58":753,"59":754,"60":766,"61":769,"62":771,"63":778,"64":779,"65":782,"66":797,"67":803,"68":816,"69":822,"70":836,"71":837,"72":843,"73":848,"74":850,"75":854,"76":856,"77":863,"78":891,"79":903,"80":909,"81":910,"82":917,"83":930,"84":931,"85":951},{"0":494,"1":510,"2":515,"3":528,"4":537,"5":541,"6":554,"7":562,"8":564,"9":584,"10":597,"11":612,"12":620,"13":637,"14":640,"15":641,"16":662,"17":665,"18":671,"19":673,"20":676,"21":709,"22":720,"23":725,"24":728,"25":748,"26":750,"27":755,"28":757,"30":786,"31":796,"32":800,"33":814,"34":823,"35":842,"36":844,"37":847,"38":851,"39":862,"40":867,"41":868,"42":881,"43":887,"44":893,"45":899,"46":904,"47":914,"48":918,"49":922,"51":939,"52":940},{"0":479,"1":546,"2":549,"3":566,"4":570,"5":580,"6":591,"7":593,"8":595,"9":601,"10":605,"11":616,"12":623,"13":629,"14":634,"15":652,"16":653,"17":663,"18":696,"19":697,"20":712,"21":756,"22":761,"24":807,"25":820,"26":877,"27":889,"28":897,"30":945,"31":949,"32":950},{"0":482,"1":525,"2":529,"3":550,"4":650,"5":677,"6":679,"7":692,"8":724,"10":841,"11":858,"12":915,"13":921,"14":948},{"0":483,"2":880},{"3":799},[],[]]