[{"0":0,"1":2,"2":3,"3":4,"4":7,"5":8,"6":9,"7":12,"8":13,"9":14,"10":15,"11":16,"12":17,"13":18,"14":19,"15":20,"16":22,"17":23,"18":24,"19":25,"20":27,"21":28,"22":29,"23":30,"24":31,"25":32,"26":33,"27":34,"28":35,"29":36,"30":37,"31":38,"32":39,"33":40,"34":41,"35":42,"36":43,"37":45,"38":46,"39":47,"40":48,"41":49,"42":51,"43":53,"44":54,"45":55,"46":56,"47":57,"48":59,"49":60,"50":61,"51":62,"52":63,"53":64,"54":65,"55":66,"56":67,"57":68,"58":69,"59":70,"60":72,"61":73,"62":74,"63":75,"64":77,"65":78,"66":79,"67":80,"68":81,"69":82,"70":83,"71":84,"73":86,"74":87,"75":89,"76":90,"77":91,"78":92,"79":93,"80":94,"81":96,"82":97,"83":98,"84":100,"85":101,"86":102,"87":103,"88":104,"89":105,"90":106,"91":107,"92":108,"93":110,"94":112,"95":114,"96":115,"97":116,"98":117,"99":118,"100":119,"101":120,"102":121,"103":122,"104":123,"105":124,"106":125,"107":126,"108":127,"109":128,"110":129,"111":130,"112":132,"113":135,"114":137,"115":138,"116":139,"117":141,"118":142,"119":143,"120":144,"121":145,"122":146,"123":147,"124":148,"125":149,"127":151,"128":152,"129":153,"130":154,"131":155,"132":156,"133":157,"134":158,"135":159,"136":160,"137":162,"138":163,"139":164,"140":165,"141":166,"142":168,"143":169,"144":170,"145":171,"146":172,"147":173,"148":174,"149":175,"150":176,"151":177,"152":178,"153":179,"154":180,"155":256,"156":257,"157":258,"158":259,"159":260,"160":261,"161":262,"162":264,"163":266,"164":267,"165":268,"166":270,"167":271,"168":273,"169":274,"170":275,"171":276,"172":277,"173":278,"174":279,"175":280,"176":281,"177":282,"178":283,"179":284,"180":285,"182":287,"183":288,"184":289,"185":290,"186":291,"187":292,"188":293,"189":294,"190":296,"191":297,"192":298,"193":299,"194":300,"195":301,"196":302,"197":303,"198":304,"199":305,"200":308,"201":310,"202":311,"203":312,"204":313,"205":314,"206":315,"207":316,"208":317,"209":318,"210":319,"211":321,"212":322,"213":323,"214":325,"215":326,"216":327,"217":328,"218":329,"219":330,"220":331,"221":332,"222":333,"223":334,"224":335,"225":336,"226":337,"227":338,"228":339,"229":340,"230":342,"231":343,"232":344,"233":345,"234":346,"235":347,"236":348,"237":349,"238":351,"239":352,"240":354,"241":356,"242":357,"244":359,"245":361,"246":363,"247":364,"248":365,"249":366,"250":367,"251":368,"252":369,"253":370,"254":371,"255":372,"256":373,"257":374,"258":375,"259":376,"260":377,"262":379,"263":381,"264":384,"265":386,"266":387,"267":388,"268":390,"269":391,"270":392,"271":393,"272":395,"273":396,"274":397,"275":398,"276":399,"277":400,"278":401,"279":402,"280":403,"281":404,"282":405,"283":406,"284":407,"285":408,"286":410,"287":411,"288":412,"289":414,"290":415,"291":416,"292":417,"293":418,"294":419,"295":420,"296":421,"297":422,"298":423,"299":425,"300":426,"301":427,"302":428,"303":429,"304":430,"305":431,"306":432,"307":433,"308":434,"309":435,"310":436,"311":514,"312":536,"313":546,"314":550,"315":552,"316":560,"317":563,"318":589,"319":590,"320":603,"321":611,"322":612,"323":613,"324":616,"325":617,"326":638,"327":642,"328":643,"329":648,"330":658,"331":669,"332":673,"333":678,"334":681,"335":686,"336":693,"337":698,"338":715,"339":718,"340":724,"341":734,"342":761,"343":763,"344":771,"345":774,"346":778,"347":784,"348":789,"349":790,"350":793,"351":804,"352":811,"353":818,"354":821,"355":837,"356":844,"357":846,"358":847,"359":856,"360":857,"361":859,"362":862,"363":863,"364":865,"365":866,"366":870,"367":873,"368":878,"369":883,"370":885,"371":901,"372":902,"373":906,"374":907,"375":919,"376":923,"377":924,"378":932,"379":933,"380":947,"381":952,"382":956,"383":963,"384":964,"385":968,"386":969,"387":977,"388":983,"389":999,"390":1006,"391":1010,"392":1017,"393":1019},{"0":1,"1":6,"2":11,"3":21,"4":26,"5":44,"6":50,"7":52,"8":58,"9":71,"10":95,"11":99,"12":109,"13":111,"14":113,"15":131,"16":133,"17":134,"18":140,"19":161,"20":167,"21":181,"22":182,"23":183,"24":184,"25":185,"26":187,"27":188,"28":189,"29":190,"30":192,"31":193,"32":194,"33":196,"34":197,"35":199,"36":201,"37":204,"38":205,"39":207,"40":208,"41":209,"42":210,"43":211,"44":212,"45":213,"46":214,"47":215,"49":217,"50":218,"51":220,"52":221,"53":222,"54":223,"55":224,"56":225,"57":226,"58":228,"59":229,"60":230,"61":231,"62":232,"63":233,"64":236,"65":238,"66":239,"67":240,"68":241,"69":244,"70":245,"72":250,"73":252,"74":254,"75":255,"76":263,"77":265,"78":269,"79":272,"80":295,"81":320,"82":324,"83":341,"84":350,"85":353,"86":355,"87":360,"88":362,"89":380,"90":382,"91":383,"92":385,"93":389,"94":394,"95":409,"96":413,"97":424,"98":437,"99":438,"100":439,"101":440,"102":442,"103":443,"104":445,"105":446,"106":450,"107":452,"108":453,"109":455,"110":458,"111":459,"112":461,"113":462,"114":463,"115":464,"116":468,"117":469,"118":470,"119":471,"120":472,"121":473,"122":474,"123":475,"124":476,"125":477,"126":479,"127":480,"128":482,"129":483,"130":484,"131":485,"132":487,"133":488,"134":490,"135":491,"136":492,"137":497,"138":498,"139":499,"140":500,"141":501,"142":502,"143":504,"144":505,"145":509,"146":510,"147":525,"148":534,"149":537,"150":539,"151":542,"152":545,"153":559,"154":561,"155":565,"156":567,"157":574,"158":576,"159":578,"160":580,"161":583,"162":586,"163":591,"164":594,"165":605,"166":624,"167":632,"168":644,"169":646,"170":651,"171":661,"172":662,"173":671,"174":672,"175":682,"176":700,"177":701,"178":719,"179":721,"180":726,"181":728,"182":743,"183":744,"184":748,"185":750,"186":752,"187":754,"188":755,"189":767,"190":775,"191":781,"192":788,"193":796,"194":798,"195":801,"196":814,"197":819,"198":824,"199":830,"200":840,"201":843,"202":852,"203":861,"204":869,"205":874,"206":884,"207":889,"208":890,"209":911,"210":913,"211":915,"212":916,"213":927,"214":929,"215":934,"216":935,"217":936,"218":942,"219":944,"220":950,"221":955,"222":959,"223":970,"224":972,"225":974,"226":987,"227":988,"228":991,"229":992,"230":993,"231":996,"232":1004,"233":1012,"234":1014,"235":1016,"236":1018,"237":1022},[5,10,76,88,136,186,191,195,198,202,206,219,227,234,235,237,242,243,247,248,249,251,306,307,309,441,444,447,448,449,451,454,456,457,460,465,466,467,478,481,486,489,493,494,495,506,507,508,511,524,540,541,544,556,557,564,573,588,592,597,601,606,610,615,629,630,647,652,655,667,683,688,694,697,699,702,711,712,720,727,746,757,765,779,795,805,808,809,815,822,833,835,839,853,864,886,887,895,897,899,905,909,912,917,928,930,945,948,961,973,986,997,1005,1023],[200,203,253,496,503,518,570,571,593,595,596,622,625,633,656,664,670,675,677,687,691,717,737,738,769,770,773,791,816,827,832,849,867,880,900,908,920,966,975,984,989,1000,1020],[515,521,530,533,554,575,623,628,640,653,696,710,723,826,940,958],[619,666,676,725,729,735,785,875,910,967],[513,528,548,736,845,854,995],[660,689,764,799,831,965,998],[745,787],[549,782],[858,978],[776,1002],[705],[581],[772,937,949],[792,892,971],[584,730,777,951],[599,829],[568,731,914,1001],[607,618,783],[803,825],[714,794,903],[684,820,980],[523,526,841,918],[614,690,740,871,1015],[659,758,817],[641,685,751,868,1003],[566,635,654,674,692],[602,639,716,851,855,881],[766,786,802],[842,894],[828,882],[520,531,680,706],[587,797,896],[516,747,926],[608,1009,1013],[800,938],[679],[626,707],[941],[925,1008],[739,756,982],[538,953,960],[979,994],[585,954],[708,806],[535],[621,760],[569],[598,604,668,741,888],[582,893],[872,981],[695],[517,562,860],[547,627,823],[579,620,636,834],[600],[931],[634,957],[733],[898,962,1021],[807,810,848,921],[649,759,838,943],[703,904,946],[519,645,657],[558,836,876],[768,812,976],[512,551,553,577,665,704,732,1011],[532,572,749],[637,762,939],[543,631,990],[527,650,709,922],[663,742,780],[522],[877,985],[713,1007],[609,850],[722],[529],[555,891],[813],[753],[879]]