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