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