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