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