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