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