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