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