[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":7,"8":8,"9":9,"10":10,"11":11,"12":12,"13":13,"14":14,"15":15,"16":16,"17":18,"19":20,"20":21,"21":22,"22":23,"23":24,"24":25,"25":26,"26":27,"27":28,"28":29,"29":30,"30":31,"31":32,"32":33,"33":34,"34":35,"35":36,"36":37,"37":38,"38":39,"39":40,"40":41,"41":42,"42":44,"43":45,"44":46,"46":49,"47":50,"48":51,"49":52,"50":53,"51":54,"52":55,"53":56,"54":57,"55":58,"56":59,"57":60,"58":61,"59":62,"60":63,"61":64,"62":65,"63":66,"64":67,"65":68,"66":69,"67":70,"68":71,"69":72,"70":74,"71":75,"72":76,"73":77,"74":78,"75":79,"76":80,"77":81,"78":82,"79":83,"80":84,"81":85,"82":87,"83":89,"84":91,"85":92,"86":93,"87":94,"88":95,"89":96,"90":97,"91":98,"92":100,"93":102,"94":104,"95":105,"96":106,"97":107,"98":108,"99":109,"100":110,"101":111,"102":112,"103":113,"104":114,"105":115,"106":116,"107":117,"108":118,"109":119,"110":120,"111":121,"112":122,"113":123,"114":124,"115":126,"116":127,"117":128,"118":129,"119":130,"120":131,"121":132,"122":133,"123":134,"124":135,"125":136,"126":137,"127":138,"128":139,"129":140,"130":141,"131":143,"132":144,"133":145,"135":147,"136":148,"137":150,"138":151,"139":153,"140":154,"141":155,"142":157,"143":158,"144":161,"145":162,"146":163,"147":164,"148":165,"149":166,"150":167,"151":170,"152":171,"153":173,"154":174,"155":175,"156":176,"157":177,"158":178,"159":179,"160":180,"161":181,"162":183,"163":184,"164":185,"165":186,"166":187,"167":188,"168":189,"169":190,"170":191,"171":192,"172":193,"173":194,"174":195,"175":196,"176":198,"177":199,"178":200,"179":201,"180":203,"181":204,"182":209,"183":211,"184":212,"185":214,"186":215,"187":216,"188":218,"189":219,"190":220,"191":221,"192":224,"193":226,"194":228,"195":229,"196":230,"197":231,"198":232,"199":234,"200":235,"201":236,"202":238,"203":240,"204":241,"205":242,"206":243,"207":244,"208":245,"209":246,"210":247,"211":248,"212":253,"213":254,"214":255,"215":256,"216":257,"217":258,"218":259,"219":260,"220":261,"221":263,"222":264,"223":265,"224":266,"225":267,"226":268,"228":270,"229":271,"230":272,"231":273,"232":274,"233":275,"234":276,"235":278,"236":280,"237":281,"238":282,"239":283,"240":284,"241":285,"242":286,"243":287,"244":290,"245":291,"246":293,"247":294,"248":297,"249":298,"250":299,"251":300,"252":301,"253":302,"255":304,"256":305,"257":306,"258":307,"259":310,"260":311,"261":312,"262":313,"263":314,"264":315,"265":316,"266":317,"267":318,"268":319,"269":320,"270":321,"272":323,"273":324,"274":325,"275":326,"276":327,"277":328,"278":329,"279":330,"280":331,"281":332,"282":333,"283":334,"284":335,"285":336,"286":337,"287":338,"288":341,"289":344,"290":345,"291":346,"292":347,"293":350,"294":351,"295":352,"296":353,"297":355,"298":356,"299":357,"300":359,"301":360,"302":361,"303":362,"304":363,"305":364,"306":365,"307":366,"308":367,"309":368,"310":369,"311":370,"312":371,"313":372,"314":373,"315":374,"316":375,"317":376,"318":377,"319":378,"320":379,"321":380,"322":381,"323":382,"325":384,"326":385,"327":386,"328":388,"329":389,"330":391,"331":392,"332":393,"335":396,"336":397,"337":398,"338":399,"339":400,"340":401,"341":402,"342":403,"343":404,"344":405,"345":406,"346":407,"347":408,"348":409,"349":410,"350":411,"351":412,"352":413,"353":414,"354":415,"355":416,"356":417,"357":419,"358":420,"359":421,"360":422,"361":423,"362":424,"363":427,"364":428,"365":429,"366":430,"367":432,"368":433,"369":434,"370":435,"371":436,"372":437,"373":438,"374":440,"375":441,"376":442,"377":443,"378":444,"379":445,"381":447,"382":448,"383":449,"384":450,"385":451,"386":452,"387":453,"388":454,"389":455,"390":456,"391":458,"392":459,"393":460,"394":462,"395":464,"396":465,"397":466,"398":468,"399":469,"400":470,"401":471,"402":472,"403":474,"404":475,"405":477,"406":479,"407":480,"408":481,"409":482,"410":483,"411":484,"412":485,"413":486,"414":487,"415":488,"416":489,"417":490,"418":491,"419":492,"420":493,"421":495,"422":498,"423":499,"424":500,"425":501,"426":502,"427":504,"428":506,"429":507,"430":508,"431":510,"432":511,"433":515,"434":516,"435":519,"436":521,"437":525,"438":526,"439":527,"440":528,"441":529,"442":534,"443":539,"444":543,"445":544,"446":545,"447":546,"448":550,"449":552,"450":553,"451":559,"452":566,"453":567,"454":575,"455":577,"456":578,"457":579,"458":584,"459":587,"460":588,"461":590,"462":598,"463":602,"464":604,"465":605,"466":610,"467":616,"468":624,"469":630,"470":631,"471":632,"472":633,"473":638,"474":642,"475":643,"476":648,"477":658,"478":661,"479":668,"480":669,"481":679,"482":683,"483":692,"484":696,"485":706,"486":709,"487":712,"488":716,"489":717,"490":719,"491":727,"492":730,"493":733,"494":738,"495":752,"496":758,"497":764,"498":766,"499":768,"500":770,"501":771,"502":774,"503":781,"504":782,"505":784,"506":785,"507":787,"508":788,"509":789,"510":792,"511":796,"512":798,"513":804,"514":805,"515":806,"516":808,"517":811,"518":823,"519":831,"520":833,"521":836,"522":837,"523":841,"524":846,"525":851,"526":852,"527":855,"528":856,"529":857,"530":860,"531":861,"532":866,"533":871,"534":872,"535":874,"536":879,"537":887,"538":888,"539":890,"540":892,"541":894,"542":899,"543":902,"544":903,"545":907,"546":911,"547":912,"548":916,"549":924,"550":927,"551":933,"552":955,"553":956,"554":964,"555":970,"556":972,"557":977,"558":979,"559":980,"560":982,"561":983,"562":986,"563":988,"564":990,"565":992,"566":993,"567":998,"568":999,"569":1001,"570":1003,"571":1008,"572":1009,"573":1010,"574":1013,"575":1022,"576":1023},{"0":17,"1":43,"2":48,"3":73,"4":86,"5":88,"6":90,"7":99,"8":101,"9":103,"10":125,"11":142,"12":149,"13":152,"14":156,"15":159,"16":160,"17":168,"18":169,"19":172,"20":197,"21":202,"22":205,"23":206,"24":207,"25":208,"26":210,"27":213,"28":217,"29":222,"30":223,"31":225,"32":227,"33":233,"34":237,"35":239,"36":249,"37":250,"38":251,"39":252,"40":262,"41":277,"42":279,"43":288,"44":289,"45":292,"46":295,"47":308,"48":309,"49":339,"50":340,"51":342,"52":343,"53":348,"54":349,"55":354,"56":358,"57":387,"58":425,"59":426,"60":431,"61":439,"62":457,"63":461,"64":463,"65":467,"66":473,"67":476,"68":478,"69":494,"70":496,"71":497,"72":509,"73":514,"74":520,"75":524,"77":535,"78":536,"79":551,"80":558,"81":562,"82":565,"83":569,"84":570,"85":573,"86":574,"87":576,"88":581,"89":582,"90":585,"91":586,"92":589,"93":593,"94":594,"95":597,"96":600,"97":603,"98":606,"99":607,"100":608,"101":614,"102":615,"103":623,"104":626,"105":627,"106":629,"107":636,"108":639,"109":644,"110":649,"111":650,"112":654,"113":655,"114":657,"115":665,"116":666,"117":667,"118":675,"119":677,"120":682,"121":684,"122":685,"123":689,"124":691,"125":697,"126":701,"127":702,"128":703,"129":707,"130":713,"131":715,"132":724,"133":726,"134":734,"135":743,"136":744,"137":746,"138":753,"139":754,"140":759,"141":761,"142":762,"143":763,"144":765,"145":775,"146":778,"147":780,"148":793,"149":794,"150":799,"151":802,"152":807,"153":814,"154":819,"155":824,"156":825,"157":832,"158":842,"159":843,"160":848,"161":849,"162":853,"163":854,"164":859,"165":867,"166":870,"167":875,"168":878,"169":881,"170":885,"171":891,"172":905,"173":906,"174":908,"175":910,"176":913,"177":918,"178":919,"179":920,"180":944,"181":947,"182":949,"183":952,"184":953,"185":954,"187":959,"188":960,"189":966,"190":968,"191":971,"192":974,"193":976,"194":981,"195":984,"196":991,"197":995,"198":1011,"199":1014,"200":1016,"201":1019},[182,296,390,418,503,505,517,522,531,532,538,540,555,557,561,571,572,591,595,596,612,617,621,634,659,660,662,663,670,672,673,678,686,687,690,694,695,704,705,711,714,722,729,739,740,742,747,748,750,760,769,809,813,816,818,822,829,864,865,868,869,880,882,883,893,896,897,900,901,917,921,922,923,926,935,939,942,943,945,946,950,951,958,961,963,965,975,996,1002,1006,1020],{"0":513,"1":560,"2":563,"3":564,"5":601,"6":619,"7":620,"8":625,"9":628,"10":641,"11":647,"12":652,"13":676,"14":680,"15":681,"16":708,"17":710,"18":720,"19":721,"20":725,"21":728,"22":732,"23":736,"24":737,"25":756,"26":757,"27":772,"28":776,"30":795,"31":801,"32":803,"33":810,"34":826,"35":827,"36":838,"37":840,"38":877,"39":884,"40":898,"41":904,"42":967,"43":973,"44":985,"45":997},[537,541,542,549,554,556,580,613,640,645,653,664,693,718,723,741,755,783,786,797,812,815,834,845,862,863,876,886,895,915,928,929,930,941,948,962,1007,1015,1021],[512,518,523,547,568,609,611,618,635,646,651,656,698,731,745,791,800,817,835,839,850,889,931,936,938,987,1012],[548,583,637,674,688,699,735,749,751,821,830,844,873,909,914,932,934,969,1000,1005],[530,592,622,671,700,767,773,820,847,858,940,994,1004,1018],[777,828,925,978,989],[779,937,1017]]