[{"0":0,"3":3,"4":4,"6":6,"7":7,"9":9,"10":11,"11":12,"12":13,"13":14,"14":16,"15":17,"16":18,"17":19,"18":20,"19":21,"20":22,"21":23,"22":24,"23":25,"25":27,"26":28,"27":29,"28":30,"29":31,"30":32,"31":33,"32":34,"33":35,"34":36,"35":37,"36":38,"37":39,"38":40,"39":41,"40":42,"41":43,"42":44,"43":46,"44":47,"45":48,"46":49,"47":51,"48":52,"50":54,"51":55,"52":56,"53":57,"54":58,"55":59,"56":60,"57":61,"58":62,"59":63,"60":65,"61":66,"62":67,"63":68,"64":70,"65":71,"66":72,"67":73,"68":75,"69":78,"70":79,"71":80,"72":81,"73":82,"75":84,"76":85,"77":86,"78":87,"79":88,"80":89,"81":91,"82":92,"83":93,"84":94,"85":95,"86":96,"87":97,"88":98,"89":100,"90":101,"91":102,"92":103,"93":104,"94":106,"95":107,"96":108,"97":109,"98":110,"99":111,"100":113,"101":114,"102":115,"103":116,"104":117,"105":118,"106":119,"107":120,"108":122,"109":123,"110":125,"111":126,"112":127,"113":128,"114":129,"115":130,"116":131,"117":132,"118":133,"119":134,"120":135,"121":136,"122":138,"123":139,"124":140,"126":143,"127":144,"128":146,"129":147,"130":148,"131":151,"132":152,"133":153,"134":154,"135":155,"136":156,"137":157,"138":158,"139":159,"140":160,"141":161,"142":162,"143":163,"144":164,"145":165,"146":166,"147":167,"148":168,"149":169,"151":171,"152":172,"153":173,"154":175,"155":176,"156":177,"157":178,"158":179,"159":180,"160":181,"161":182,"162":183,"163":184,"164":186,"165":187,"166":188,"167":189,"168":190,"169":191,"170":192,"171":193,"172":194,"173":195,"174":196,"175":197,"176":198,"177":200,"178":201,"179":203,"180":204,"181":205,"182":206,"183":207,"184":208,"185":209,"186":210,"187":211,"188":212,"189":213,"190":214,"191":215,"192":217,"193":218,"194":219,"195":220,"196":221,"197":222,"198":223,"199":224,"200":225,"201":227,"202":228,"203":229,"204":230,"205":231,"206":232,"207":233,"208":234,"209":235,"210":236,"211":237,"212":239,"213":240,"214":241,"215":242,"216":243,"217":244,"218":245,"219":246,"220":247,"221":248,"222":249,"223":250,"224":251,"225":252,"226":253,"227":254,"228":255,"229":256,"230":257,"231":258,"232":259,"233":260,"234":261,"235":262,"236":263,"237":264,"238":265,"239":266,"240":267,"241":268,"242":269,"243":270,"244":271,"245":272,"246":273,"247":274,"248":275,"249":276,"250":277,"251":278,"252":279,"253":280,"254":281,"255":282,"256":283,"257":284,"258":285,"259":286,"260":287,"261":288,"262":289,"263":290,"264":291,"265":292,"266":293,"267":295,"268":296,"269":297,"270":298,"271":299,"272":300,"273":301,"274":302,"275":303,"276":304,"277":305,"278":306,"279":307,"280":308,"282":310,"283":312,"284":313,"285":314,"286":315,"287":316,"288":317,"289":319,"290":320,"291":321,"292":322,"293":323,"294":324,"295":325,"297":327,"298":328,"299":329,"300":330,"301":331,"302":332,"304":334,"305":335,"307":337,"308":338,"309":339,"310":341,"311":342,"312":344,"313":345,"314":346,"315":347,"316":348,"317":349,"318":350,"319":351,"320":353,"321":354,"322":355,"323":356,"324":357,"325":358,"326":359,"327":360,"329":362,"330":363,"331":364,"332":365,"333":366,"334":367,"336":369,"337":370,"338":371,"339":372,"340":373,"341":374,"342":375,"343":376,"345":379,"347":382,"348":383,"349":384,"350":385,"351":386,"352":387,"355":391,"356":392,"357":393,"358":394,"359":395,"360":396,"361":397,"362":398,"363":399,"364":400,"365":401,"366":402,"367":403,"368":404,"369":405,"370":406,"371":407,"372":408,"373":409,"374":410,"375":411,"376":412,"377":413,"378":415,"379":416,"380":417,"382":419,"383":420,"384":421,"385":422,"386":423,"387":424,"388":425,"389":426,"390":427,"391":428,"392":429,"393":430,"394":431,"395":432,"396":433,"397":434,"398":435,"399":436,"400":437,"401":438,"402":439,"403":441,"404":442,"405":443,"406":444,"407":445,"408":446,"409":447,"410":448,"411":449,"412":450,"413":451,"414":452,"415":453,"416":454,"417":456,"418":457,"419":458,"420":459,"421":460,"422":461,"423":463,"424":465,"425":466,"426":467,"427":468,"428":469,"429":470,"430":471,"431":472,"432":473,"433":474,"434":475,"435":476,"436":477,"437":479,"438":481,"439":482,"440":483,"441":485,"442":486,"443":487,"444":488,"445":489,"446":490,"447":491,"448":492,"449":493,"450":495,"451":496,"452":497,"453":498,"454":499,"455":500,"456":501,"457":502,"458":503,"459":504,"460":505,"461":506,"462":507,"463":509,"464":510,"465":511,"466":513,"467":525,"468":526,"470":529,"471":530,"472":532,"473":536,"474":537,"475":541,"476":547,"477":556,"478":564,"479":565,"480":567,"481":572,"482":573,"483":575,"484":576,"485":582,"486":587,"487":589,"488":593,"489":602,"490":605,"491":609,"492":610,"493":619,"494":621,"495":623,"496":627,"497":631,"498":633,"499":635,"500":636,"501":647,"502":649,"503":652,"504":653,"505":656,"506":657,"507":660,"508":667,"509":670,"510":674,"511":677,"512":681,"513":683,"514":685,"515":686,"516":688,"517":691,"518":698,"519":699,"520":702,"521":703,"522":706,"523":708,"524":709,"525":712,"526":713,"527":722,"528":723,"529":724,"530":727,"531":735,"532":740,"533":741,"534":747,"535":748,"536":749,"537":751,"538":758,"539":759,"540":762,"541":765,"542":768,"543":770,"544":772,"545":776,"546":785,"547":786,"548":787,"549":788,"550":789,"551":791,"552":792,"553":797,"554":803,"555":810,"556":813,"557":821,"558":823,"559":830,"560":832,"561":834,"562":843,"563":847,"564":865,"565":870,"566":872,"567":883,"568":884,"569":895,"570":897,"571":898,"572":900,"573":903,"574":906,"575":907,"576":908,"577":919,"578":923,"579":936,"580":937,"581":938,"582":940,"583":942,"584":950,"585":962,"586":967,"587":975,"588":979,"589":982,"590":984,"591":985,"592":991,"593":992,"594":994,"595":995,"596":999,"597":1015,"598":1017,"599":1021,"600":1022,"601":1023},{"0":10,"1":15,"2":45,"3":50,"4":64,"5":69,"6":74,"7":76,"8":77,"9":90,"10":105,"11":112,"12":121,"13":124,"14":141,"15":145,"16":149,"17":150,"18":185,"19":199,"20":202,"21":216,"22":226,"23":238,"24":294,"25":311,"26":318,"27":340,"28":343,"29":352,"30":378,"31":381,"32":388,"33":414,"34":440,"35":455,"36":462,"37":464,"38":478,"39":480,"40":484,"41":494,"42":508,"43":538,"44":540,"45":543,"46":544,"47":549,"48":550,"49":551,"50":555,"51":557,"52":559,"53":570,"54":571,"55":574,"56":580,"57":581,"58":584,"59":586,"60":590,"61":591,"62":594,"63":597,"64":600,"65":604,"66":613,"67":618,"68":625,"69":628,"70":632,"71":638,"72":650,"73":664,"74":665,"75":666,"76":668,"77":672,"78":675,"79":679,"80":689,"81":693,"82":694,"83":701,"84":707,"85":714,"86":717,"87":720,"88":733,"89":734,"90":744,"91":745,"92":746,"93":752,"94":754,"95":755,"96":757,"97":760,"98":764,"99":771,"100":780,"101":782,"102":793,"103":801,"104":806,"105":811,"106":816,"107":824,"108":825,"109":826,"110":827,"111":828,"112":835,"113":837,"114":839,"115":840,"116":846,"117":850,"118":851,"119":861,"120":862,"121":863,"122":864,"123":886,"124":888,"125":896,"126":904,"127":909,"128":911,"129":916,"130":920,"131":921,"132":926,"133":931,"134":941,"135":949,"136":952,"137":957,"138":961,"139":963,"140":964,"142":978,"143":983,"144":998,"145":1002,"146":1007,"147":1009,"148":1010,"149":1013,"150":1014,"151":1016,"152":1019},{"0":99,"1":137,"2":174,"3":514,"4":520,"5":531,"6":534,"7":542,"8":553,"9":562,"10":568,"11":579,"12":583,"13":588,"14":592,"15":601,"16":624,"17":637,"18":639,"19":641,"20":643,"21":648,"22":659,"23":669,"24":695,"25":696,"26":704,"27":710,"28":715,"29":716,"31":728,"32":737,"33":774,"34":784,"35":795,"36":805,"37":820,"38":833,"39":841,"40":845,"41":849,"42":854,"43":875,"44":881,"45":885,"46":889,"47":891,"48":892,"49":910,"50":915,"51":928,"52":930,"53":932,"54":935,"55":944,"56":953,"57":959,"58":970,"59":971,"60":977,"61":981,"63":1001,"64":1004},[512,515,533,560,595,608,611,612,626,629,630,634,640,654,655,663,682,687,690,711,721,738,750,753,756,763,773,781,790,794,796,800,838,842,844,852,860,866,873,878,882,893,901,918,924,925,927,929,943,946,951,960,969,973,987,997,1003],{"0":517,"1":519,"2":523,"3":535,"4":546,"5":554,"6":563,"7":566,"8":569,"9":578,"10":585,"11":598,"12":603,"13":606,"14":607,"15":615,"16":616,"17":617,"18":620,"19":622,"20":646,"21":651,"22":658,"23":680,"24":719,"25":726,"26":730,"27":731,"28":766,"29":769,"30":775,"31":779,"33":815,"34":818,"35":836,"36":871,"37":876,"38":887,"39":899,"40":902,"41":913,"42":914,"43":939,"44":954,"45":955,"46":968,"47":972,"48":988,"49":1000,"50":1005,"51":1006,"52":1008,"53":1011,"54":1012},[518,545,548,552,558,561,577,599,645,662,692,700,725,743,777,778,783,802,807,812,814,819,822,856,857,859,867,868,874,922,934,958,976,993,1018],[516,521,522,524,527,596,614,642,644,671,673,678,697,705,729,804,809,858,869,877,880,894,917,945,986],[539,684,831,853,890,912,966,989,1020],[676,732,736,742,767,817,905,974],[739,761,798,829,848,879,980],[799,855,947,948],[933,996],[]]