[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"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":27,"27":28,"28":29,"29":30,"30":32,"31":33,"32":34,"33":35,"34":36,"35":37,"36":38,"37":40,"38":41,"39":42,"40":43,"41":44,"42":45,"43":46,"44":47,"45":48,"46":49,"47":51,"48":53,"49":54,"50":55,"51":56,"52":57,"53":58,"54":59,"55":60,"56":61,"57":62,"58":63,"59":64,"60":65,"61":66,"62":69,"63":70,"64":71,"65":72,"66":73,"67":74,"68":75,"69":76,"70":77,"71":79,"72":80,"73":81,"74":82,"75":83,"76":84,"77":85,"78":86,"79":87,"80":88,"81":89,"82":91,"83":92,"84":93,"85":94,"86":95,"87":97,"88":99,"89":100,"90":101,"91":102,"92":103,"93":104,"94":106,"95":107,"96":109,"97":110,"98":111,"99":112,"100":113,"101":114,"102":115,"103":116,"104":117,"105":118,"106":119,"107":120,"108":122,"109":123,"110":124,"111":125,"112":126,"113":127,"114":128,"115":129,"116":130,"117":131,"118":132,"119":135,"120":136,"121":137,"122":139,"123":140,"125":142,"126":143,"127":144,"128":147,"129":148,"130":149,"131":150,"132":151,"133":152,"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":167,"147":168,"148":169,"149":171,"150":172,"151":174,"152":175,"153":177,"154":178,"155":180,"156":183,"157":184,"158":185,"159":186,"160":187,"161":191,"162":192,"163":193,"164":194,"165":195,"166":197,"167":198,"168":199,"169":200,"170":201,"171":202,"172":207,"173":208,"174":209,"175":210,"176":211,"177":212,"178":214,"179":215,"180":216,"181":217,"182":218,"183":220,"184":222,"185":223,"186":224,"187":226,"188":228,"189":229,"190":230,"191":231,"192":232,"193":233,"194":235,"195":236,"196":237,"197":238,"198":240,"199":241,"200":242,"201":243,"202":245,"203":246,"204":247,"205":248,"206":249,"207":250,"208":251,"209":252,"210":253,"211":254,"212":255,"213":256,"214":257,"215":261,"216":262,"217":263,"218":264,"219":265,"220":266,"221":267,"222":268,"223":269,"224":270,"226":272,"228":274,"229":275,"230":277,"231":278,"232":279,"233":280,"234":281,"235":282,"236":283,"237":284,"238":285,"239":286,"240":287,"241":288,"242":289,"243":290,"244":291,"245":292,"246":293,"248":296,"249":297,"250":298,"251":300,"252":301,"253":303,"254":304,"255":305,"256":306,"257":307,"258":308,"259":310,"260":312,"261":313,"262":314,"263":315,"264":317,"265":318,"266":319,"267":320,"268":321,"269":322,"270":323,"271":324,"272":326,"273":327,"274":328,"275":329,"276":330,"277":332,"278":333,"279":334,"280":336,"281":337,"282":340,"283":341,"284":343,"285":344,"286":345,"287":346,"288":347,"289":348,"290":349,"291":350,"292":351,"293":355,"294":356,"295":357,"296":358,"297":359,"298":360,"299":361,"300":362,"301":363,"302":364,"303":365,"304":366,"305":367,"306":369,"307":371,"308":373,"309":374,"311":376,"312":377,"313":378,"314":380,"315":381,"316":382,"317":383,"318":384,"319":385,"320":387,"321":388,"322":390,"323":391,"324":394,"326":398,"327":399,"328":400,"329":402,"331":404,"332":405,"333":406,"334":407,"335":408,"336":410,"338":413,"339":414,"340":415,"341":416,"342":418,"343":419,"344":420,"345":421,"346":422,"347":423,"348":425,"349":426,"350":427,"351":428,"352":429,"353":430,"354":432,"355":433,"356":436,"357":438,"358":439,"359":440,"360":441,"361":442,"362":444,"363":445,"364":446,"365":449,"366":450,"367":451,"368":452,"369":453,"370":454,"371":455,"372":456,"373":457,"374":458,"375":459,"376":460,"377":463,"378":465,"379":466,"380":467,"381":469,"382":470,"383":471,"384":473,"385":474,"386":475,"387":476,"388":477,"389":478,"390":479,"391":480,"392":483,"393":484,"394":486,"395":487,"396":489,"397":490,"398":491,"399":492,"400":494,"401":495,"402":496,"403":497,"404":498,"405":501,"406":502,"407":503,"408":504,"409":505,"410":506,"411":507,"412":508,"413":509,"414":510,"415":511,"416":512,"417":514,"418":517,"419":518,"420":527,"421":529,"422":535,"423":542,"424":545,"425":546,"426":547,"427":548,"428":551,"429":552,"430":554,"431":555,"432":556,"433":557,"434":558,"435":560,"436":561,"437":562,"438":563,"439":565,"440":567,"441":568,"442":577,"443":579,"444":581,"445":584,"446":591,"447":595,"448":599,"449":600,"450":603,"451":604,"452":609,"453":611,"454":612,"455":613,"456":615,"457":622,"458":628,"459":632,"460":633,"461":635,"462":637,"463":638,"464":644,"465":651,"466":655,"467":660,"468":662,"469":665,"470":672,"471":677,"472":683,"473":685,"474":707,"475":708,"476":709,"477":711,"478":723,"479":728,"480":734,"481":738,"482":743,"483":747,"484":748,"485":751,"486":756,"487":757,"488":758,"489":769,"490":770,"491":771,"492":774,"493":775,"494":776,"495":777,"496":779,"497":786,"498":790,"499":797,"500":798,"501":803,"502":804,"503":807,"504":809,"505":810,"506":812,"507":816,"508":817,"509":818,"510":822,"511":826,"512":836,"513":837,"514":844,"515":846,"516":850,"517":852,"518":853,"519":865,"520":866,"521":867,"522":868,"523":870,"524":872,"525":879,"526":880,"527":881,"528":882,"529":891,"530":892,"531":893,"532":897,"533":904,"534":905,"535":909,"536":911,"537":915,"538":916,"539":922,"540":925,"541":927,"542":945,"543":953,"544":954,"545":962,"546":963,"547":965,"548":967,"549":971,"550":973,"551":974,"552":975,"553":979,"554":980,"555":981,"556":984,"557":985,"558":989,"559":990,"560":992,"561":997,"562":1001,"563":1004,"564":1005,"565":1007,"566":1010},[6,31,39,50,52,67,68,78,90,96,98,105,108,121,133,134,138,145,146,166,170,176,179,181,182,188,190,196,203,204,205,206,213,219,221,225,227,239,244,258,259,260,276,294,299,302,309,311,316,325,331,338,339,342,352,353,354,368,370,372,379,386,389,393,395,396,401,409,411,417,424,431,434,437,443,447,448,461,462,468,472,481,482,493,499,500,515,516,520,523,525,526,531,532,534,536,538,541,544,549,559,566,570,571,572,573,575,576,583,585,586,593,596,601,602,610,616,618,620,623,624,626,630,634,636,642,643,645,647,648,649,652,653,656,657,658,661,663,664,666,667,670,671,673,676,679,682,684,686,689,690,691,695,698,699,701,706,712,713,716,717,718,719,721,724,725,726,727,729,731,732,733,735,736,737,740,741,746,753,754,762,763,766,772,773,780,781,783,784,792,794,795,799,800,801,802,805,806,813,814,819,824,827,830,832,833,840,842,843,847,848,849,854,856,857,860,861,864,869,873,874,877,878,883,884,885,887,888,889,890,894,896,898,899,901,902,907,910,912,914,918,919,920,930,931,932,934,935,938,939,944,947,948,950,955,956,957,960,968,969,970,972,976,977,978,982,986,987,998,1000,1002,1008,1009,1011,1012,1013,1014,1016,1017,1018,1019,1020],{"0":153,"1":173,"2":189,"3":234,"4":335,"5":392,"6":435,"7":464,"8":485,"9":488,"10":513,"11":519,"12":522,"13":524,"14":528,"15":537,"16":539,"17":540,"18":550,"19":553,"20":564,"21":569,"22":587,"23":589,"24":597,"25":605,"26":608,"27":617,"28":619,"29":625,"30":629,"31":631,"32":639,"33":641,"34":646,"35":654,"36":668,"37":669,"38":674,"39":678,"40":680,"41":681,"42":688,"43":692,"44":697,"45":702,"46":703,"47":704,"48":705,"49":710,"50":714,"51":715,"52":722,"53":730,"54":739,"55":745,"56":749,"57":755,"59":765,"60":767,"61":768,"62":787,"63":789,"64":791,"65":793,"66":811,"67":815,"68":820,"69":821,"70":823,"71":829,"72":835,"73":841,"74":845,"75":855,"76":858,"77":871,"78":875,"79":876,"80":895,"81":903,"82":913,"83":921,"84":924,"85":928,"86":933,"87":937,"88":940,"89":941,"90":942,"91":951,"92":952,"93":958,"94":961,"95":964,"96":966,"97":988,"98":991,"99":994,"100":995,"101":999,"102":1015,"103":1021,"104":1022,"105":1023},{"0":533,"1":543,"2":574,"3":578,"4":580,"5":582,"6":590,"7":592,"8":594,"9":598,"10":606,"11":614,"12":621,"13":640,"14":675,"15":693,"16":694,"17":696,"18":700,"20":752,"21":764,"22":778,"23":785,"24":808,"25":828,"26":834,"27":839,"28":851,"29":863,"30":886,"31":900,"32":906,"33":908,"34":923,"35":926,"36":929,"37":936,"38":943,"39":946,"40":959,"41":996},{"0":521,"1":530,"3":627,"4":650,"5":659,"6":687,"7":742,"8":744,"9":759,"10":782,"11":838,"12":862,"13":917,"14":949,"15":983,"16":993,"17":1003},{"0":761,"1":788,"2":796,"4":831,"5":859},[588]]