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