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