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