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