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