[{"0":0,"1":1,"2":2,"3":3,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"12":13,"13":14,"14":15,"15":16,"16":17,"17":18,"18":19,"19":20,"20":21,"21":22,"22":23,"23":24,"24":25,"25":26,"26":28,"27":29,"28":30,"29":31,"30":32,"31":34,"32":36,"33":37,"34":38,"36":40,"37":41,"38":42,"39":46,"40":48,"41":49,"42":50,"43":51,"44":52,"45":54,"46":55,"47":56,"48":57,"49":58,"50":59,"51":60,"53":62,"54":63,"55":64,"56":65,"57":66,"58":68,"59":69,"60":70,"61":71,"62":72,"63":73,"65":75,"66":76,"67":77,"68":78,"69":79,"70":80,"71":81,"72":82,"73":85,"74":86,"75":87,"76":88,"77":89,"78":90,"79":91,"80":93,"81":94,"82":95,"83":96,"84":97,"85":98,"86":99,"87":100,"88":101,"89":102,"90":103,"91":104,"92":105,"93":106,"94":108,"95":109,"96":110,"97":112,"98":113,"99":114,"100":116,"101":117,"102":118,"103":119,"104":121,"105":122,"106":124,"107":125,"108":126,"109":127,"110":130,"111":131,"112":132,"113":134,"114":136,"115":137,"116":138,"117":139,"118":140,"120":142,"121":143,"122":144,"123":146,"124":148,"125":149,"126":150,"127":151,"128":152,"129":153,"130":154,"131":155,"132":156,"133":157,"134":158,"135":159,"136":160,"137":161,"138":162,"139":163,"140":164,"141":165,"143":167,"144":168,"145":169,"146":170,"147":171,"148":172,"149":173,"150":174,"151":175,"152":176,"153":178,"154":179,"155":180,"156":182,"157":183,"158":184,"159":186,"160":187,"161":188,"162":189,"163":190,"164":191,"165":192,"167":194,"168":195,"169":196,"170":198,"171":199,"172":200,"173":201,"174":202,"175":203,"176":204,"177":205,"178":206,"179":207,"180":208,"181":209,"182":210,"183":211,"184":212,"185":213,"186":214,"187":215,"188":216,"189":217,"190":219,"191":220,"192":221,"193":222,"194":223,"195":224,"196":225,"197":226,"198":227,"199":228,"200":229,"201":230,"202":231,"203":232,"204":234,"205":238,"206":239,"207":240,"208":241,"209":242,"210":243,"211":246,"212":247,"213":249,"214":250,"215":251,"216":252,"217":254,"218":255,"219":256,"220":257,"221":259,"223":261,"224":262,"225":263,"226":264,"227":265,"229":268,"230":269,"231":270,"232":271,"233":272,"234":273,"236":275,"237":276,"238":278,"239":280,"240":281,"241":282,"242":283,"243":284,"244":285,"245":286,"246":287,"247":288,"248":289,"249":290,"250":291,"251":292,"252":293,"253":294,"254":295,"255":296,"256":297,"257":298,"258":299,"259":300,"260":301,"261":302,"262":303,"263":304,"264":305,"266":307,"267":308,"268":310,"269":311,"270":312,"271":313,"272":314,"273":316,"275":318,"276":320,"277":321,"278":322,"279":323,"280":324,"281":325,"282":326,"283":327,"284":328,"285":329,"286":330,"287":331,"289":333,"290":334,"291":335,"292":336,"293":338,"294":339,"295":340,"296":341,"297":342,"298":343,"299":344,"300":345,"301":346,"302":347,"303":348,"304":349,"305":350,"306":351,"307":352,"308":353,"309":354,"310":356,"311":357,"312":358,"313":359,"314":362,"315":363,"316":365,"317":367,"318":368,"319":369,"320":371,"321":372,"322":373,"323":374,"325":376,"326":377,"327":378,"328":379,"329":380,"330":381,"331":383,"332":384,"333":385,"334":386,"335":387,"336":388,"337":389,"338":390,"339":391,"340":392,"341":393,"342":395,"343":396,"344":397,"345":398,"346":399,"347":400,"348":401,"349":402,"350":403,"351":404,"352":406,"353":407,"354":408,"355":409,"356":410,"357":411,"358":414,"359":418,"360":420,"361":421,"362":423,"363":424,"364":425,"365":426,"366":427,"367":428,"368":430,"369":431,"370":432,"371":433,"372":434,"373":436,"374":438,"375":439,"376":442,"377":443,"378":444,"379":445,"380":446,"381":447,"382":448,"383":449,"384":450,"385":451,"386":452,"387":453,"388":454,"389":455,"390":456,"391":457,"392":458,"393":459,"394":460,"395":461,"396":462,"397":464,"398":465,"399":466,"400":467,"401":468,"402":469,"403":471,"404":472,"405":473,"406":474,"407":475,"408":476,"409":477,"410":478,"411":479,"412":480,"413":481,"414":483,"415":484,"416":485,"417":486,"418":487,"419":489,"420":490,"421":491,"422":493,"423":494,"424":495,"425":496,"426":497,"427":498,"428":499,"429":500,"430":501,"431":502,"432":503,"433":504,"434":505,"435":506,"436":507,"437":508,"438":510,"439":515,"440":521,"441":523,"442":525,"443":526,"444":532,"445":534,"446":537,"447":538,"448":539,"449":547,"450":548,"451":552,"452":553,"453":555,"454":557,"455":558,"456":560,"457":561,"458":565,"459":567,"460":573,"461":576,"462":578,"463":580,"464":581,"465":584,"466":587,"467":590,"468":591,"469":595,"470":596,"471":597,"472":598,"473":599,"474":602,"475":605,"476":609,"477":611,"478":613,"479":618,"480":628,"481":630,"482":631,"483":634,"484":637,"485":640,"486":643,"487":644,"488":648,"489":650,"490":651,"491":654,"492":655,"493":656,"494":657,"495":660,"496":665,"497":667,"498":675,"499":680,"500":683,"501":684,"502":687,"503":690,"504":692,"505":697,"506":698,"507":706,"508":709,"509":710,"510":714,"511":717,"512":719,"513":721,"514":724,"515":725,"516":730,"517":731,"518":734,"519":735,"520":736,"521":737,"522":738,"523":749,"524":756,"525":758,"526":761,"527":768,"528":769,"529":772,"530":773,"531":775,"532":777,"533":779,"534":780,"535":782,"536":788,"537":790,"538":795,"539":798,"540":801,"541":806,"542":811,"543":812,"544":813,"545":814,"546":818,"547":819,"548":824,"549":825,"550":832,"551":835,"552":836,"553":837,"554":843,"555":845,"556":846,"557":850,"558":851,"559":852,"560":853,"561":854,"562":855,"563":856,"564":859,"565":860,"566":863,"567":872,"568":873,"569":877,"570":881,"571":885,"572":889,"573":891,"574":893,"575":895,"576":898,"577":899,"578":900,"579":901,"580":902,"581":903,"582":905,"583":906,"584":909,"585":911,"586":912,"587":914,"588":916,"589":918,"590":922,"591":923,"592":924,"593":927,"594":929,"595":930,"596":932,"597":935,"598":936,"599":940,"600":947,"601":948,"602":949,"603":950,"604":951,"605":953,"606":956,"607":957,"608":958,"609":959,"610":961,"611":962,"612":964,"613":967,"614":968,"615":969,"616":972,"617":984,"618":986,"619":988,"620":989,"621":990,"622":992,"623":997,"624":998,"625":1003,"626":1006,"627":1007,"628":1010,"629":1013,"630":1018,"631":1021,"632":1022},[6,27,33,35,43,44,45,47,53,67,83,84,92,107,111,115,120,128,129,133,135,145,147,177,181,185,197,218,233,235,236,237,244,245,248,253,258,266,277,279,309,315,319,337,355,360,361,364,366,370,382,394,405,412,413,415,416,417,419,422,429,435,437,441,463,470,482,488,492,509,511,514,516,528,535,536,542,545,546,549,550,562,563,568,579,582,600,607,608,615,625,626,629,632,633,638,646,652,663,669,674,676,677,685,686,689,694,695,696,701,711,722,726,728,729,732,741,743,745,747,748,751,754,755,762,765,767,770,774,776,784,785,786,791,792,797,799,804,807,817,823,829,838,839,840,841,864,868,870,874,875,878,879,880,883,884,887,896,907,915,921,925,926,933,934,937,938,944,945,946,955,970,973,978,995,1002,1004,1005,1008,1011,1014,1015,1017],{"0":123,"1":440,"2":520,"3":522,"4":527,"5":533,"6":543,"7":559,"8":564,"9":569,"10":571,"11":588,"12":589,"13":601,"14":604,"15":612,"16":616,"17":619,"18":621,"19":622,"20":635,"21":639,"22":645,"24":658,"25":662,"26":671,"27":673,"28":693,"29":703,"30":704,"32":707,"33":708,"34":713,"35":715,"36":718,"37":740,"38":750,"39":757,"40":764,"41":771,"42":794,"43":800,"44":803,"45":805,"46":809,"47":815,"48":820,"49":831,"50":847,"51":849,"52":858,"53":861,"54":865,"55":871,"56":882,"57":897,"58":919,"59":954,"60":963,"61":965,"62":966,"63":971,"64":977,"65":982,"66":993,"67":999,"68":1000,"69":1023},{"0":512,"1":518,"2":519,"3":524,"4":530,"5":540,"6":541,"7":551,"8":554,"9":570,"10":574,"11":585,"12":592,"13":606,"14":614,"15":620,"16":627,"17":641,"18":642,"19":661,"20":679,"21":681,"22":688,"23":691,"24":699,"25":733,"27":760,"28":778,"29":783,"30":793,"31":796,"32":810,"33":826,"34":830,"35":842,"36":862,"37":866,"38":886,"40":904,"41":910,"42":913,"43":917,"44":941,"45":943,"46":960,"47":976,"48":983,"49":991,"50":1001,"51":1019},{"0":544,"1":566,"2":572,"3":586,"4":593,"5":594,"6":603,"7":610,"8":617,"9":623,"10":624,"11":666,"12":672,"13":700,"14":702,"15":727,"17":744,"18":746,"19":752,"20":753,"21":759,"22":766,"23":781,"24":802,"25":816,"26":821,"27":822,"28":834,"29":848,"30":867,"32":888,"33":892,"34":894,"35":908,"36":928,"37":931,"38":974,"39":981,"40":1012,"41":1016},[513,529,556,575,636,647,659,664,712,716,720,763,808,827,828,833,844,857,876,939,952,975,979,985,987,996,1009,1020],[517,531,577,583,653,670,942,994],{"1":678,"2":682,"4":789,"5":920,"6":980},[]]