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