[{"0":0,"2":2,"3":3,"6":6,"7":7,"8":8,"9":9,"10":10,"11":11,"12":12,"13":13,"14":14,"16":17,"17":18,"18":19,"19":21,"20":22,"21":23,"22":24,"23":25,"24":28,"25":29,"26":30,"27":31,"28":32,"29":33,"30":34,"31":35,"32":36,"33":39,"34":40,"35":41,"36":42,"37":43,"38":44,"39":45,"41":47,"42":48,"43":49,"44":50,"45":52,"46":53,"47":54,"48":55,"49":56,"50":57,"51":58,"52":59,"53":61,"54":62,"55":63,"56":64,"57":65,"58":66,"59":67,"61":69,"62":70,"64":73,"65":74,"66":75,"67":76,"69":78,"70":79,"71":80,"72":81,"73":82,"74":84,"75":85,"76":86,"77":87,"78":88,"79":90,"80":91,"81":92,"82":93,"83":94,"84":95,"85":96,"86":97,"87":98,"88":99,"89":100,"90":101,"91":102,"92":103,"93":104,"94":105,"95":106,"96":107,"97":108,"98":109,"100":111,"101":112,"102":114,"103":115,"104":116,"105":117,"106":118,"107":119,"109":122,"110":123,"111":124,"112":125,"113":126,"114":127,"115":128,"117":130,"118":132,"119":133,"120":134,"121":135,"123":137,"124":138,"125":139,"126":140,"128":142,"129":143,"130":144,"131":145,"132":146,"133":147,"134":148,"135":149,"136":150,"137":151,"138":152,"139":153,"140":154,"141":155,"144":159,"145":160,"146":162,"147":163,"148":165,"150":167,"151":168,"152":170,"153":171,"154":172,"155":173,"156":174,"157":175,"158":176,"159":177,"160":178,"161":179,"162":180,"163":181,"164":182,"165":183,"166":184,"167":185,"168":186,"169":187,"170":188,"171":189,"172":190,"173":191,"174":192,"175":193,"176":195,"177":196,"178":197,"179":199,"180":200,"182":202,"183":203,"184":205,"185":207,"186":208,"187":209,"188":210,"189":211,"190":212,"191":213,"192":214,"193":215,"194":216,"195":217,"196":218,"197":220,"198":221,"199":222,"200":223,"201":224,"202":225,"203":226,"204":227,"205":228,"206":231,"207":232,"208":234,"209":235,"210":236,"211":238,"213":240,"214":241,"215":242,"216":243,"217":244,"218":246,"219":247,"220":248,"221":249,"222":250,"223":251,"224":252,"225":253,"226":254,"227":255,"228":256,"229":257,"230":258,"231":259,"232":260,"233":261,"234":262,"235":263,"236":264,"237":265,"238":266,"239":267,"240":268,"241":269,"242":270,"243":271,"244":272,"245":273,"246":274,"247":275,"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,"262":291,"263":292,"264":293,"265":294,"266":295,"267":296,"268":297,"270":300,"271":301,"272":302,"273":303,"274":304,"275":306,"276":307,"277":308,"278":309,"279":310,"281":312,"282":313,"283":314,"284":316,"285":317,"286":318,"287":319,"288":320,"289":321,"290":322,"292":324,"293":325,"294":326,"295":327,"296":328,"297":329,"299":331,"300":332,"301":333,"302":334,"303":335,"304":336,"305":337,"306":339,"307":342,"308":343,"309":344,"310":345,"311":346,"312":347,"313":348,"314":349,"315":350,"316":351,"317":352,"318":353,"319":354,"320":355,"321":356,"322":357,"323":358,"324":360,"325":361,"326":362,"327":363,"328":364,"329":365,"330":366,"331":367,"332":368,"333":369,"334":370,"335":371,"336":372,"337":373,"338":374,"340":376,"342":378,"343":379,"344":380,"345":381,"346":382,"347":383,"348":386,"349":387,"350":388,"351":389,"352":390,"353":391,"354":392,"355":393,"356":394,"357":395,"359":398,"360":399,"361":400,"362":401,"363":402,"364":403,"365":404,"366":405,"367":407,"368":408,"369":409,"370":410,"371":412,"372":413,"373":415,"374":416,"375":417,"376":419,"377":420,"378":421,"379":422,"380":423,"381":424,"382":425,"383":426,"384":427,"385":428,"386":429,"387":430,"388":431,"389":432,"390":434,"391":435,"392":436,"393":437,"394":438,"395":439,"396":440,"397":441,"398":442,"399":443,"400":444,"401":445,"402":446,"403":447,"404":448,"405":449,"406":450,"407":451,"408":453,"409":454,"410":455,"411":456,"412":457,"413":460,"414":461,"415":462,"416":463,"417":465,"418":466,"419":467,"420":471,"421":472,"422":473,"423":474,"424":476,"425":477,"426":478,"427":479,"428":480,"429":481,"430":482,"431":483,"432":485,"433":486,"434":487,"435":488,"436":489,"437":490,"438":491,"439":492,"440":495,"441":496,"442":497,"443":499,"444":500,"445":502,"446":504,"447":506,"448":507,"449":508,"450":509,"451":510,"452":511,"453":516,"454":522,"455":524,"456":526,"457":527,"458":530,"459":540,"460":543,"461":553,"462":555,"463":559,"464":561,"465":562,"466":568,"467":571,"468":572,"469":573,"470":574,"471":575,"472":576,"473":578,"474":582,"475":586,"476":587,"477":595,"478":601,"479":606,"480":607,"481":609,"482":610,"483":611,"484":612,"485":623,"486":624,"487":626,"488":628,"489":630,"490":631,"491":634,"492":635,"493":636,"494":638,"495":640,"496":641,"497":646,"498":647,"499":649,"500":652,"501":654,"502":655,"503":657,"504":662,"505":663,"506":664,"507":668,"508":670,"509":671,"510":676,"511":677,"512":678,"513":679,"514":685,"515":686,"516":687,"517":693,"518":694,"519":696,"520":700,"521":702,"522":705,"523":712,"524":715,"525":717,"526":718,"527":722,"528":725,"529":728,"530":732,"531":734,"532":735,"533":737,"534":746,"535":747,"536":748,"537":755,"538":758,"539":768,"540":770,"541":775,"542":779,"543":788,"544":789,"545":791,"546":801,"547":802,"548":806,"549":810,"550":816,"551":819,"552":824,"553":825,"554":826,"555":827,"556":828,"557":829,"558":837,"559":840,"560":843,"561":846,"562":850,"563":851,"564":852,"565":853,"566":863,"567":864,"568":868,"569":874,"570":875,"571":876,"572":877,"573":880,"574":888,"575":892,"576":893,"577":901,"578":904,"579":909,"580":910,"581":912,"582":914,"583":917,"585":922,"586":923,"587":934,"588":935,"589":940,"590":941,"591":942,"592":943,"593":946,"594":948,"595":951,"596":958,"597":959,"598":963,"599":965,"600":966,"601":968,"602":972,"603":975,"604":976,"605":977,"606":978,"607":981,"608":983,"609":984,"610":985,"611":987,"612":989,"613":990,"614":995,"615":1002,"616":1008,"617":1009,"618":1010,"619":1020,"620":1022,"621":1023},[16,20,26,27,37,38,51,60,72,83,89,113,121,131,156,161,164,194,198,204,219,229,230,233,237,245,276,299,305,315,338,340,341,359,384,385,396,406,411,414,418,433,452,458,459,464,468,469,475,484,493,494,498,501,503,505,512,514,517,519,525,531,535,538,539,544,549,557,564,567,569,577,579,581,583,584,585,588,591,592,593,594,597,599,600,602,604,605,608,616,617,621,625,627,633,637,644,645,653,656,660,669,672,682,688,690,692,698,699,706,708,710,711,724,726,727,729,730,739,741,742,749,753,754,759,761,766,769,771,772,774,777,778,781,783,784,785,790,792,796,808,812,813,815,818,832,834,835,836,841,845,848,854,855,857,859,871,873,883,884,885,890,895,900,902,905,907,911,916,919,924,925,926,927,929,932,936,944,950,952,953,955,956,960,969,974,982,994,996,1000,1003,1004,1006,1007,1012,1013,1015,1016,1018,1019],{"0":169,"1":206,"2":470,"3":518,"4":520,"5":532,"6":541,"7":547,"8":551,"9":552,"10":556,"11":589,"12":613,"13":614,"14":615,"15":619,"16":620,"17":622,"18":632,"19":651,"20":658,"21":659,"22":665,"23":666,"24":667,"25":675,"26":695,"27":703,"28":709,"29":720,"30":723,"31":731,"32":736,"33":743,"34":751,"35":752,"36":756,"37":757,"38":760,"39":763,"40":773,"41":794,"42":797,"43":800,"44":803,"45":809,"46":820,"47":830,"48":831,"49":833,"50":838,"51":842,"52":844,"54":856,"55":858,"56":861,"57":869,"58":886,"59":887,"60":891,"61":897,"62":898,"63":906,"64":908,"65":915,"66":918,"67":921,"68":928,"69":931,"70":937,"71":947,"72":957,"73":961,"74":962,"75":967,"76":971,"77":973,"78":988,"79":1001,"80":1005,"81":1021},{"0":523,"1":528,"2":537,"3":560,"4":566,"5":598,"7":639,"8":673,"9":681,"10":684,"11":691,"12":701,"13":716,"14":721,"15":738,"16":745,"17":762,"18":782,"19":795,"20":799,"21":821,"22":865,"23":866,"24":867,"25":870,"26":872,"27":881,"28":899,"29":913,"30":933,"31":945,"32":954,"33":964,"34":980,"35":986,"36":991,"37":998,"38":999},[545,546,550,565,570,596,618,629,650,683,697,704,707,750,780,805,847,878,889,938],[554,580,590,642,643,661,680,689,719,740,744,764,776,786,787,882,903],[558,563,674,733,793,807,811,817,822,894,939,970,992],{"0":513,"1":521,"2":529,"3":713,"4":714,"5":765,"6":798,"7":823,"9":879,"10":930,"11":1017},[533,548,767,839,896,979,1011],[515,534,536,648,993,997,1014],[804,814,949],[542,860]]