[[0,1,2,8,9,11,12,13,15,16,18,19,20,21,26,27,29,30,31,256,257,258,259,260,261,262,263,264,267,268,269,270,271,273,274,275,277,278,279,280,281,285,286,288,289,517,518,523,536,540,544,546,558,559,562,563,596,603,641,656,664,672,684,711,712,717,718,719,737,756,765,767,770,800,811,825,840,841,844,846,847,850,859,891,933,946,947,956,965,980,990,1012,1015],[3,5,6,10,23,24,25,34,35,36,40,43,44,46,49,50,52,57,58,61,62,67,69,70,72,73,74,75,77,265,282,284,287,291,292,293,294,298,300,311,313,316,321,322,325,329,330,335,520,524,529,532,533,535,539,555,572,579,586,592,602,609,611,612,613,617,622,627,634,686,700,708,715,720,736,738,746,769,794,795,797,801,818,833,839,842,857,863,885,887,906,915,940,955,959,960,974,981,984,991,992,997,1004,1016],{"0":4,"1":14,"2":17,"3":22,"4":28,"5":32,"6":33,"7":37,"8":38,"9":39,"10":41,"11":42,"12":47,"13":48,"14":54,"15":55,"16":64,"17":65,"18":76,"19":79,"20":82,"21":89,"22":93,"23":95,"24":98,"25":100,"26":103,"27":104,"28":107,"29":115,"30":121,"31":124,"32":125,"33":127,"34":276,"35":283,"36":290,"37":295,"38":297,"39":302,"40":303,"41":306,"42":310,"43":314,"44":317,"45":318,"46":320,"47":323,"48":324,"49":331,"50":334,"51":336,"52":337,"54":348,"55":351,"56":352,"57":353,"58":354,"59":359,"60":360,"61":361,"62":367,"63":370,"64":378,"65":381,"66":383,"67":512,"68":547,"69":557,"70":561,"71":630,"72":643,"73":647,"74":650,"75":682,"76":691,"77":694,"78":697,"79":701,"80":714,"81":739,"82":752,"83":763,"84":773,"85":775,"86":788,"87":791,"88":802,"89":805,"90":822,"91":843,"92":848,"93":854,"94":877,"95":879,"96":880,"97":893,"98":904,"99":923,"100":927,"101":950,"102":954,"103":972,"104":975,"105":983,"106":986,"107":988,"108":989,"109":993,"110":994,"111":1005},{"0":7,"1":45,"2":66,"3":78,"4":81,"5":83,"6":87,"7":91,"8":105,"9":112,"10":116,"11":128,"12":129,"13":138,"14":139,"15":143,"16":154,"17":156,"19":160,"21":171,"22":174,"23":176,"24":178,"25":185,"26":186,"27":266,"28":272,"29":299,"30":301,"31":307,"32":308,"33":319,"34":326,"35":327,"36":328,"37":332,"38":338,"39":339,"40":340,"41":344,"42":347,"43":349,"44":350,"45":355,"46":357,"47":358,"48":363,"49":373,"50":382,"51":393,"52":394,"54":399,"56":402,"57":410,"58":411,"59":417,"61":420,"62":423,"63":438,"64":445,"65":448,"66":513,"67":514,"68":525,"69":528,"70":541,"71":548,"72":556,"73":566,"74":575,"75":582,"76":584,"77":605,"78":614,"79":626,"80":639,"81":640,"82":649,"83":651,"84":654,"85":657,"86":660,"87":666,"88":674,"89":677,"90":679,"91":683,"92":685,"93":687,"94":699,"95":703,"96":704,"97":707,"98":713,"99":721,"100":722,"101":725,"102":726,"103":740,"104":759,"105":764,"106":766,"107":776,"108":781,"109":782,"110":790,"111":798,"112":809,"113":820,"114":823,"115":832,"116":853,"117":861,"118":890,"119":898,"120":905,"121":907,"122":911,"123":917,"124":925,"125":932,"126":936,"127":949,"128":953,"129":964,"130":977,"131":979,"132":998,"133":1003,"134":1006,"135":1011,"136":1017,"137":1018,"138":1020},{"0":53,"1":59,"2":84,"3":90,"4":96,"5":97,"6":99,"7":101,"8":108,"9":109,"10":110,"11":111,"12":118,"13":119,"14":131,"15":132,"16":137,"18":146,"19":147,"20":148,"21":150,"22":161,"23":170,"24":177,"25":180,"26":181,"27":182,"28":188,"29":189,"30":190,"31":191,"32":194,"33":204,"34":207,"35":211,"37":213,"38":214,"39":216,"40":222,"41":223,"42":224,"43":228,"44":238,"45":304,"46":309,"47":312,"48":315,"49":333,"50":341,"51":356,"52":362,"53":364,"54":365,"55":366,"56":368,"57":374,"58":375,"59":380,"60":385,"61":386,"62":387,"63":400,"64":403,"65":404,"66":412,"67":413,"68":418,"69":421,"70":439,"71":440,"72":441,"73":443,"74":461,"75":466,"76":468,"77":469,"80":487,"81":489,"82":493,"83":500,"84":503,"85":508,"86":510,"87":527,"88":550,"89":565,"90":571,"91":576,"92":578,"93":583,"94":585,"95":589,"96":593,"97":598,"98":600,"99":635,"100":636,"101":638,"102":645,"103":652,"104":665,"105":680,"106":688,"107":710,"108":728,"109":779,"110":806,"111":813,"112":837,"113":838,"114":845,"115":855,"116":865,"117":868,"118":872,"119":897,"120":908,"121":920,"122":921,"123":948,"124":962,"125":963,"126":968,"127":973,"128":1002,"129":1021,"130":1022},{"0":51,"1":56,"2":60,"3":63,"4":68,"5":85,"6":86,"7":92,"8":94,"9":106,"10":113,"11":114,"12":117,"13":122,"14":130,"15":135,"16":144,"17":145,"18":151,"19":153,"20":164,"21":165,"22":166,"23":167,"24":173,"25":175,"26":187,"27":197,"28":205,"29":206,"30":208,"32":218,"33":231,"34":237,"35":239,"36":245,"37":246,"38":342,"39":343,"40":371,"41":376,"42":388,"43":391,"44":397,"45":407,"46":408,"47":409,"48":414,"49":416,"50":424,"51":427,"52":434,"53":435,"54":436,"55":451,"56":453,"57":456,"58":460,"59":464,"60":465,"61":470,"62":472,"64":478,"65":480,"67":497,"68":498,"69":502,"70":553,"71":560,"72":567,"73":568,"74":580,"75":595,"76":597,"77":599,"78":601,"79":606,"80":615,"81":632,"82":637,"83":648,"84":659,"85":669,"86":670,"87":671,"88":673,"89":678,"90":734,"91":735,"92":745,"93":749,"94":757,"95":772,"96":774,"97":792,"98":799,"99":803,"100":821,"101":856,"102":867,"103":878,"104":889,"105":896,"106":916,"107":918,"108":922,"109":930,"110":938,"111":942,"112":944,"113":951,"114":976,"115":978,"116":1009},[80,102,126,133,155,169,172,179,183,184,196,202,209,217,219,220,221,225,229,232,236,241,242,244,248,249,254,296,372,379,384,390,396,415,426,431,433,437,457,471,477,481,482,491,494,495,499,501,505,506,564,587,591,594,619,629,631,655,675,702,727,729,742,748,750,758,761,796,812,817,831,858,866,875,883,895,903,909,929,931,934,941,952,958,996,1008,1013],[71,88,123,134,136,140,149,152,157,192,200,230,243,252,305,369,377,389,392,405,406,428,429,430,442,446,450,452,454,458,459,463,467,475,492,504,509,515,554,569,574,610,644,663,689,741,744,754,768,789,826,829,830,835,836,849,862,892,902,912,913,939,957,999,1000],[120,162,168,193,195,198,210,226,233,240,253,346,422,425,432,444,449,455,490,507,511,519,534,545,552,662,676,681,730,731,732,733,777,778,785,787,793,819,852,864,886,935,937,1007],[141,199,201,203,227,247,250,251,395,462,474,476,496,516,530,551,616,621,633,709,716,755,771,783,851,870,873,924,926,971,1010,1014],[158,234,235,255,447,488,542,590,642,658,661,692,698,706,747,760,810,814,827,834,869,874,876,888,899,910,945,967,982,987],[479,483,522,526,538,543,573,618,625,693,705,804,807,808,824,882,884,900,943,961],[521,531,537,623,762,780,786,816,928,985,995],[549,604,628,667,696,753,871,919,966,970,1001,1023],[570,620,624,690,695,724,828,881,901,914,969],[581,588,607,608,668,743,751,815],[653,723,784,894],[577,646,860,1019]]