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