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