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