[{"0":0,"1":1,"2":2,"3":4,"4":5,"5":6,"6":7,"8":9,"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":29,"28":30,"29":31,"30":32,"31":33,"32":34,"33":35,"34":37,"35":38,"36":39,"37":40,"38":41,"39":42,"40":43,"41":44,"42":45,"43":46,"44":47,"45":48,"46":49,"47":50,"48":51,"49":52,"50":53,"51":55,"52":56,"53":57,"54":58,"55":59,"56":60,"57":61,"58":62,"59":63,"60":64,"61":65,"62":67,"63":68,"64":69,"65":70,"66":71,"67":73,"68":75,"69":76,"70":77,"71":78,"72":79,"73":80,"74":81,"75":82,"76":83,"77":84,"78":85,"79":86,"80":87,"81":88,"82":89,"83":90,"84":91,"85":92,"86":93,"87":94,"88":96,"89":97,"90":98,"91":99,"92":100,"93":101,"94":102,"95":103,"96":104,"97":105,"98":106,"99":109,"101":111,"102":113,"103":114,"104":115,"105":116,"106":117,"107":119,"108":120,"109":122,"110":124,"111":125,"112":126,"113":127,"114":128,"115":129,"116":130,"117":131,"118":132,"119":133,"120":134,"121":135,"122":136,"123":137,"124":138,"125":139,"126":140,"127":142,"128":144,"129":145,"130":146,"131":147,"132":149,"133":150,"134":151,"135":152,"136":153,"137":154,"138":155,"139":156,"140":157,"141":158,"142":160,"143":161,"144":162,"146":164,"147":165,"148":166,"149":167,"150":168,"151":169,"152":170,"153":171,"154":172,"155":173,"156":174,"157":175,"158":177,"159":178,"160":179,"161":180,"162":181,"163":182,"164":183,"165":184,"166":185,"167":186,"168":187,"169":188,"170":190,"171":191,"172":192,"173":193,"174":194,"175":195,"176":196,"177":198,"178":199,"179":200,"180":201,"181":202,"182":204,"183":205,"184":206,"185":207,"186":208,"187":209,"188":210,"189":211,"190":212,"191":213,"192":214,"193":216,"194":217,"195":218,"196":219,"197":220,"198":221,"199":222,"200":223,"201":224,"202":225,"203":226,"204":227,"205":228,"206":229,"207":230,"208":231,"209":232,"210":233,"211":234,"212":235,"213":236,"214":237,"215":238,"216":239,"217":240,"218":244,"219":245,"220":246,"221":247,"222":248,"223":249,"224":251,"225":252,"226":253,"227":254,"228":255,"229":256,"230":257,"231":258,"232":259,"233":260,"234":261,"235":262,"236":263,"237":264,"238":265,"239":266,"240":267,"241":268,"242":269,"243":270,"244":271,"245":272,"246":273,"247":274,"248":275,"249":276,"250":277,"251":278,"252":279,"253":280,"254":281,"255":283,"256":284,"257":285,"258":286,"259":288,"260":290,"261":292,"262":293,"263":294,"264":295,"265":297,"266":298,"267":299,"268":300,"269":301,"270":302,"271":304,"272":305,"273":306,"274":307,"275":308,"276":309,"277":310,"278":311,"279":312,"280":313,"281":315,"282":316,"283":317,"284":318,"285":319,"286":320,"287":321,"288":322,"289":323,"290":324,"291":325,"292":327,"293":328,"294":330,"295":331,"296":332,"297":333,"298":334,"299":335,"300":337,"301":338,"302":339,"303":341,"304":343,"305":344,"306":345,"307":346,"308":347,"309":349,"310":350,"311":351,"312":352,"313":353,"314":354,"315":355,"316":356,"317":357,"318":358,"319":361,"320":363,"321":364,"322":366,"323":367,"324":368,"325":369,"326":370,"327":371,"328":372,"329":373,"330":375,"331":376,"332":377,"333":378,"334":379,"335":380,"336":381,"337":382,"338":383,"339":384,"340":385,"341":386,"342":387,"343":388,"344":389,"345":392,"346":393,"347":394,"348":395,"349":396,"350":399,"351":400,"352":401,"353":402,"354":403,"355":404,"356":405,"357":406,"358":407,"359":408,"360":409,"361":410,"363":412,"364":413,"365":414,"366":416,"367":417,"368":418,"369":419,"370":420,"371":421,"372":422,"373":423,"374":424,"375":425,"376":426,"377":427,"378":428,"379":429,"380":430,"381":431,"382":432,"383":433,"384":434,"385":436,"386":437,"387":439,"388":442,"389":443,"390":444,"391":445,"392":447,"393":448,"394":449,"395":450,"396":451,"397":452,"398":453,"399":455,"400":456,"401":457,"402":458,"403":461,"404":462,"405":463,"406":464,"407":465,"408":467,"409":468,"410":469,"411":471,"412":472,"413":473,"414":474,"415":475,"416":476,"417":477,"418":478,"419":479,"420":480,"421":481,"422":482,"423":483,"424":484,"425":486,"426":487,"427":488,"428":489,"429":490,"430":491,"431":492,"432":494,"433":495,"434":496,"435":497,"436":498,"437":500,"438":501,"439":502,"440":503,"441":504,"442":505,"443":506,"444":508,"445":509,"446":511,"447":513,"448":519,"449":520,"450":522,"451":525,"452":529,"453":543,"454":544,"455":545,"456":569,"457":570,"458":574,"459":578,"460":580,"461":592,"462":598,"463":601,"464":608,"465":611,"466":612,"467":626,"468":630,"469":631,"470":632,"471":633,"472":636,"473":637,"474":640,"475":643,"476":644,"477":645,"478":646,"479":647,"480":650,"481":661,"482":665,"483":667,"484":675,"485":676,"486":679,"487":686,"488":687,"489":695,"490":696,"491":699,"492":700,"493":701,"494":703,"495":706,"496":708,"497":709,"498":710,"499":717,"500":718,"501":726,"502":740,"503":744,"504":746,"505":747,"506":749,"507":752,"508":756,"509":759,"510":765,"511":767,"512":770,"513":773,"514":777,"515":778,"516":779,"517":788,"518":789,"519":790,"520":791,"521":792,"522":794,"523":796,"524":804,"525":805,"526":812,"527":813,"528":815,"529":831,"530":832,"531":834,"532":835,"533":836,"534":840,"535":844,"536":851,"537":853,"538":854,"539":855,"540":856,"541":858,"542":860,"543":862,"544":874,"545":875,"546":881,"547":882,"548":884,"549":888,"550":897,"551":912,"552":921,"553":922,"554":925,"555":927,"556":932,"557":934,"558":938,"559":940,"560":946,"561":947,"562":949,"563":956,"564":963,"565":967,"566":975,"567":977,"568":984,"569":985,"570":986,"571":989,"572":990,"573":995,"574":997,"575":1009,"576":1021},{"0":3,"1":28,"2":36,"3":54,"4":66,"5":72,"6":74,"7":95,"8":108,"9":118,"10":121,"11":123,"12":141,"13":143,"14":148,"15":159,"16":176,"17":189,"18":197,"19":203,"20":215,"21":241,"22":242,"23":243,"24":250,"25":282,"26":287,"27":289,"28":291,"29":296,"30":303,"31":314,"32":326,"33":329,"34":336,"35":340,"36":342,"37":348,"38":360,"39":365,"40":374,"41":390,"42":391,"43":397,"44":398,"45":415,"46":435,"47":438,"48":440,"49":441,"50":454,"51":459,"52":460,"53":470,"54":485,"55":493,"56":499,"57":507,"58":510,"59":516,"60":521,"61":524,"62":526,"63":527,"64":531,"65":532,"66":537,"67":538,"68":542,"69":546,"70":553,"71":554,"72":556,"73":559,"74":560,"75":563,"76":564,"77":565,"78":566,"79":567,"80":571,"81":572,"82":582,"83":591,"84":597,"85":603,"86":604,"87":607,"88":613,"89":614,"90":619,"91":622,"92":623,"93":627,"94":629,"95":641,"96":649,"97":653,"98":654,"99":655,"100":658,"101":660,"102":662,"103":664,"104":666,"105":668,"106":669,"107":671,"108":683,"109":685,"110":688,"111":690,"112":692,"113":698,"114":704,"115":711,"116":712,"117":716,"118":725,"119":730,"120":732,"121":734,"122":736,"123":739,"124":741,"125":748,"126":751,"127":753,"128":764,"129":766,"130":771,"131":772,"132":785,"133":787,"134":795,"135":797,"136":798,"137":806,"138":807,"139":809,"140":810,"141":816,"142":817,"143":820,"144":821,"145":826,"146":829,"147":837,"148":839,"149":842,"150":843,"151":861,"152":863,"153":868,"154":873,"155":878,"156":879,"157":880,"158":883,"159":892,"160":894,"161":899,"162":901,"163":904,"164":906,"165":908,"166":911,"167":914,"168":923,"169":931,"170":933,"171":937,"172":954,"173":961,"174":962,"175":970,"176":974,"177":980,"178":981,"179":982,"180":983,"181":991,"182":993,"183":1001,"185":1006,"186":1014,"187":1017,"188":1023},[107,112,359,362,446,466,512,514,523,528,535,540,541,550,562,575,583,584,587,589,590,595,609,616,618,624,639,648,651,659,670,680,707,714,719,723,724,727,742,743,750,761,774,793,802,811,823,824,838,847,857,869,886,887,898,913,916,917,918,919,920,929,930,935,936,939,941,943,945,953,958,959,960,964,987,992,1002,1007,1011,1018],[515,530,533,536,593,605,620,635,672,722,733,776,782,783,784,799,801,845,849,866,885,907,972,978,979,999],[576,594,615,681,684,697,705,721,728,814,825,846,848,867,872,889,903,942,950,955,998,1019,1022],[518,534,552,596,606,621,652,713,720,769,775,780,830,852,871,1010,1012,1013,1020],[539,551,581,610,617,634,702,715,729,735,737,738,755,828,833,841,864,891,896,902,909,948,952,973,1005,1008],[561,579,602,625,638,657,663,682,691,745,754,758,760,763,819,850,865,870,915,944,951,968,969,976,988],[586,588,600,642,673,757,800,859,877,895,910,928,957,965,966,994,1003],[517,547,555,656,693,731,762,781,827,890,926],[557,558,568,573,585,677,678,808,818,924],[674,803,822,893,971,996,1000],[876,905,1015],[548,577,628,694,900,1016],[549,599,689,768,786]]