[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":7,"8":9,"9":10,"10":11,"11":12,"12":13,"13":14,"14":15,"15":16,"16":17,"17":18,"18":19,"19":21,"20":22,"21":23,"22":24,"23":25,"24":26,"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":45,"44":46,"45":49,"46":50,"47":51,"48":52,"49":53,"50":54,"51":55,"52":56,"54":59,"55":60,"56":61,"57":62,"58":63,"59":64,"60":65,"61":66,"62":67,"63":68,"64":69,"65":70,"66":71,"67":72,"68":73,"69":74,"70":75,"71":76,"72":77,"73":78,"74":79,"75":80,"76":81,"77":82,"78":83,"79":84,"80":85,"81":86,"82":87,"83":88,"84":89,"85":90,"86":91,"87":92,"88":93,"89":94,"90":96,"91":98,"92":99,"93":100,"94":101,"95":102,"96":103,"97":104,"98":105,"99":107,"100":108,"101":109,"102":110,"103":111,"104":112,"105":113,"106":114,"107":115,"108":116,"109":117,"110":118,"111":119,"112":120,"113":121,"114":123,"115":124,"116":125,"117":126,"118":127,"119":128,"120":129,"121":130,"122":131,"123":132,"124":133,"125":134,"126":135,"127":136,"128":137,"129":138,"130":139,"131":140,"132":141,"133":142,"134":143,"135":144,"136":145,"137":147,"138":148,"139":149,"140":150,"141":151,"142":152,"143":154,"144":155,"145":156,"146":157,"147":158,"148":159,"149":160,"150":161,"151":162,"152":164,"153":165,"154":166,"155":167,"156":168,"157":169,"158":170,"159":171,"160":172,"161":173,"162":174,"163":175,"164":176,"165":178,"166":179,"167":180,"168":181,"169":182,"170":184,"171":185,"172":186,"173":188,"174":189,"175":190,"176":191,"177":192,"178":193,"179":194,"180":195,"181":196,"182":197,"183":198,"184":200,"185":203,"186":204,"187":205,"188":206,"189":207,"190":208,"191":209,"192":210,"194":212,"195":213,"197":215,"198":216,"199":219,"200":221,"201":222,"202":223,"203":225,"204":226,"205":227,"206":228,"207":229,"208":230,"209":231,"210":232,"211":233,"212":234,"213":235,"214":236,"215":237,"216":238,"217":239,"218":240,"219":241,"220":242,"221":243,"222":244,"223":245,"224":246,"225":247,"226":249,"227":251,"228":252,"229":253,"230":254,"231":255,"232":256,"233":257,"234":259,"235":260,"236":261,"237":263,"238":264,"239":265,"240":266,"241":267,"242":269,"243":270,"244":271,"245":272,"246":274,"247":275,"248":276,"249":277,"250":278,"251":279,"252":280,"253":281,"254":283,"255":284,"257":287,"258":288,"259":289,"260":290,"261":291,"262":292,"263":293,"264":294,"265":295,"266":296,"267":297,"269":299,"270":300,"271":301,"272":302,"273":303,"274":304,"275":305,"276":306,"277":307,"278":308,"279":309,"280":310,"281":312,"282":313,"283":314,"284":315,"285":316,"286":317,"287":318,"288":319,"289":320,"290":321,"291":322,"292":324,"293":325,"294":326,"295":327,"296":328,"297":329,"298":330,"299":331,"300":332,"301":333,"302":334,"303":335,"304":336,"305":337,"306":338,"307":339,"308":340,"309":341,"310":342,"311":343,"312":344,"313":345,"314":346,"315":347,"316":348,"317":349,"318":350,"319":351,"320":352,"321":353,"322":354,"323":356,"324":357,"325":358,"326":359,"327":360,"328":361,"329":362,"330":363,"331":364,"332":365,"333":366,"334":367,"335":369,"336":370,"337":372,"338":373,"339":374,"340":378,"341":379,"342":380,"343":381,"344":382,"345":383,"346":384,"347":385,"348":386,"349":387,"351":390,"352":391,"353":392,"354":393,"355":394,"356":395,"357":396,"358":397,"359":398,"360":399,"361":400,"362":401,"363":402,"364":403,"365":404,"366":405,"367":406,"368":407,"369":408,"370":409,"371":410,"372":411,"373":412,"374":413,"375":415,"376":416,"377":418,"378":419,"379":420,"380":421,"381":422,"382":423,"383":424,"384":425,"385":426,"386":427,"387":428,"388":429,"389":430,"390":431,"391":432,"392":433,"393":434,"394":436,"395":437,"396":438,"397":439,"398":440,"399":441,"400":442,"401":443,"402":444,"403":445,"404":446,"405":447,"406":448,"407":449,"408":450,"409":451,"410":452,"411":453,"412":454,"413":455,"414":456,"415":457,"416":458,"417":459,"418":460,"419":462,"420":463,"421":464,"422":465,"423":466,"424":467,"425":468,"426":469,"427":470,"428":471,"429":473,"430":475,"431":476,"432":478,"433":479,"434":480,"435":482,"436":483,"437":484,"438":485,"439":486,"440":487,"441":488,"442":489,"443":490,"444":491,"445":492,"446":493,"447":494,"448":495,"449":496,"450":498,"451":499,"452":500,"453":501,"454":502,"455":503,"456":504,"457":505,"458":506,"459":507,"460":508,"461":509,"462":510,"463":511,"464":513,"465":516,"466":518,"467":522,"468":524,"469":530,"470":531,"471":538,"472":540,"473":541,"474":542,"475":545,"476":546,"477":547,"478":550,"479":552,"480":560,"481":562,"482":564,"483":567,"484":569,"485":571,"486":573,"487":575,"488":586,"489":588,"490":595,"491":599,"492":601,"493":604,"494":607,"495":615,"496":616,"497":617,"498":618,"499":625,"500":631,"501":632,"502":633,"503":640,"504":647,"505":649,"506":661,"507":666,"508":668,"509":672,"510":673,"511":674,"512":675,"513":676,"514":677,"515":682,"516":683,"517":685,"518":690,"519":692,"520":694,"521":696,"522":698,"523":699,"524":701,"525":702,"526":705,"527":707,"528":711,"529":712,"530":714,"531":716,"532":717,"533":718,"534":719,"535":721,"536":722,"537":726,"538":731,"539":733,"540":735,"541":749,"542":751,"543":752,"544":756,"545":758,"546":761,"547":762,"548":766,"549":767,"550":778,"551":779,"552":780,"553":781,"554":782,"555":787,"556":791,"557":792,"558":793,"559":797,"560":798,"561":800,"562":808,"563":811,"564":812,"565":814,"566":817,"567":818,"568":819,"569":823,"570":830,"571":832,"572":836,"573":838,"574":842,"575":844,"576":846,"577":847,"578":848,"579":849,"580":850,"581":851,"582":852,"583":859,"584":865,"585":868,"586":869,"587":872,"588":875,"589":878,"590":880,"591":882,"592":883,"593":884,"594":888,"595":891,"596":893,"597":898,"598":900,"599":904,"600":905,"601":918,"602":920,"603":922,"604":923,"605":925,"606":932,"607":939,"608":941,"609":944,"610":945,"611":946,"612":957,"613":958,"614":961,"615":962,"616":966,"617":968,"618":972,"619":974,"620":977,"621":978,"622":980,"623":983,"624":986,"625":1003,"626":1004,"627":1006,"628":1007,"629":1009,"630":1013,"631":1020,"632":1022},[8,20,47,48,57,95,97,122,146,153,163,177,183,187,199,201,202,217,218,220,224,248,250,258,262,268,273,282,285,311,323,355,368,371,375,376,377,388,414,417,435,461,472,474,477,481,497,512,520,527,537,543,556,557,561,565,566,568,572,579,580,583,590,598,600,603,612,613,619,621,622,627,630,635,636,641,645,646,657,659,662,665,667,669,670,689,691,704,706,709,710,723,724,727,729,736,738,745,753,759,769,773,775,776,784,785,790,794,795,799,804,805,813,816,821,822,824,825,829,835,837,841,845,853,854,855,857,858,861,866,867,876,879,881,885,886,889,895,902,908,912,916,917,919,924,927,929,935,940,947,952,969,984,985,992,995,997,998,999,1000,1001,1012,1014,1016,1017,1019],{"0":106,"1":514,"2":515,"3":517,"4":519,"5":523,"6":525,"7":533,"8":535,"9":548,"10":558,"11":574,"12":577,"13":578,"14":581,"15":584,"16":585,"17":587,"18":593,"19":594,"20":596,"21":597,"22":605,"23":606,"24":609,"25":611,"26":614,"27":624,"28":637,"29":652,"30":655,"32":664,"34":686,"35":687,"36":695,"37":700,"38":708,"39":713,"40":720,"41":739,"42":741,"44":747,"45":755,"46":760,"47":765,"48":771,"49":772,"50":783,"51":788,"52":801,"53":806,"54":809,"55":826,"57":843,"58":863,"59":864,"60":871,"61":874,"62":896,"63":903,"64":906,"65":909,"66":930,"68":937,"69":948,"70":951,"71":956,"72":959,"73":964,"74":971,"75":975,"76":989,"77":990,"78":1002,"79":1010},{"0":521,"1":526,"3":554,"4":559,"5":570,"6":576,"8":589,"9":591,"10":602,"11":608,"14":626,"15":628,"16":634,"17":638,"18":644,"19":648,"20":654,"21":660,"22":671,"23":684,"24":703,"25":715,"26":725,"27":728,"28":740,"29":743,"30":746,"31":748,"32":754,"33":768,"34":774,"35":789,"36":807,"37":815,"38":833,"39":834,"40":839,"41":860,"42":870,"43":890,"44":892,"45":897,"46":910,"47":911,"48":914,"49":921,"51":934,"52":954,"53":955,"54":960,"55":967,"56":994,"57":996,"58":1011},{"0":536,"1":539,"2":544,"3":549,"4":551,"5":553,"6":555,"7":563,"8":592,"9":620,"10":639,"11":642,"12":643,"13":651,"14":688,"15":697,"16":730,"17":732,"18":734,"19":737,"20":742,"21":750,"22":777,"23":810,"24":820,"25":856,"26":873,"27":877,"28":899,"29":915,"30":936,"31":942,"32":949,"33":953,"34":970,"35":979,"37":987,"38":1008,"39":1023},{"1":532,"2":629,"3":650,"4":663,"5":678,"6":681,"7":693,"8":763,"9":764,"10":786,"11":796,"12":828,"13":862,"14":887,"15":894,"16":907,"17":913,"18":926,"19":933,"20":965,"21":988,"22":993,"23":1021},{"0":534,"1":653,"2":658,"3":680,"4":757,"5":770,"6":802,"7":827,"8":943,"9":963,"11":991,"12":1015,"13":1018},{"0":803,"1":901,"3":981,"4":1005},[831],[]]