[[0,1,2,3,4,5,6,8,9,11,12,13,14,15,16,17,19,21,22,26,27,29,30,32,33,35,36,38,39,40,43,45,47,48,256,257,258,259,260,261,262,264,265,267,268,269,270,271,273,274,275,276,278,280,281,282,283,286,287,293,295,297,300,301,302,304,305,306,516,518,528,539,549,551,552,560,566,577,579,584,587,594,610,611,629,631,651,664,686,703,713,716,717,719,721,723,738,746,751,756,771,776,787,794,796,797,810,813,816,832,857,865,868,871,877,883,907,908,920,934,940,957,973,975,981,984,986,993,997,1003,1019,1022],{"0":7,"1":10,"2":20,"3":23,"4":24,"5":25,"6":28,"7":31,"8":34,"9":41,"10":46,"11":49,"12":50,"13":53,"14":54,"15":59,"16":62,"17":66,"18":67,"19":69,"20":73,"21":77,"22":78,"23":87,"24":88,"25":90,"26":95,"27":96,"28":97,"29":104,"30":115,"31":263,"32":266,"33":277,"34":279,"35":285,"36":288,"37":290,"38":291,"39":292,"40":294,"41":298,"42":303,"43":309,"44":314,"45":315,"47":317,"48":318,"49":319,"50":321,"51":322,"52":326,"53":328,"54":335,"55":336,"56":337,"57":338,"58":339,"59":340,"60":341,"61":343,"62":356,"63":357,"64":363,"65":364,"66":365,"67":367,"68":368,"69":536,"70":543,"71":553,"72":557,"73":559,"74":571,"75":578,"76":591,"77":592,"78":596,"79":601,"80":605,"81":613,"82":622,"83":644,"84":649,"85":656,"86":660,"87":662,"88":672,"89":689,"90":691,"91":694,"92":701,"93":708,"94":711,"95":714,"96":718,"97":725,"98":735,"99":743,"100":744,"101":749,"102":752,"103":769,"104":790,"105":799,"106":802,"107":808,"108":811,"109":814,"110":821,"111":822,"112":834,"113":835,"114":840,"115":852,"116":886,"117":892,"118":894,"119":899,"120":904,"121":933,"122":937,"123":946,"124":953,"125":964,"126":974,"127":1006,"128":1009,"129":1011,"130":1018,"131":1023},{"0":37,"1":42,"2":44,"3":52,"4":57,"5":60,"6":64,"7":65,"8":70,"9":71,"10":75,"11":79,"12":80,"13":84,"14":89,"15":91,"16":93,"17":94,"18":101,"19":102,"20":105,"21":106,"22":107,"23":110,"24":111,"25":112,"26":120,"27":125,"28":126,"29":127,"30":130,"31":131,"32":133,"33":134,"34":137,"35":138,"36":139,"37":141,"38":142,"40":146,"41":147,"42":153,"43":154,"44":155,"45":157,"46":160,"47":164,"48":272,"49":284,"50":296,"51":299,"52":307,"53":310,"54":313,"55":320,"56":324,"57":325,"58":330,"59":333,"60":334,"61":342,"62":344,"63":345,"64":346,"65":347,"66":348,"67":349,"68":350,"69":351,"70":361,"71":366,"72":369,"73":375,"74":380,"75":382,"76":384,"77":393,"78":395,"79":398,"80":399,"81":400,"82":403,"83":405,"84":406,"85":408,"86":409,"87":411,"88":412,"89":419,"90":436,"91":534,"92":558,"93":568,"94":570,"95":585,"96":588,"97":599,"98":603,"99":604,"100":621,"101":624,"102":625,"103":628,"104":630,"105":641,"106":643,"107":648,"108":652,"109":655,"110":665,"111":687,"112":695,"113":696,"114":706,"115":707,"116":732,"117":741,"118":759,"119":760,"120":762,"121":763,"122":766,"123":772,"124":773,"125":781,"126":783,"127":788,"128":812,"129":824,"130":827,"131":836,"132":838,"133":839,"134":847,"135":851,"136":853,"137":869,"138":876,"139":880,"140":896,"141":903,"142":916,"143":926,"144":938,"145":939,"146":941,"147":943,"148":963,"149":990,"150":991,"151":996,"152":1002,"153":1014},{"0":18,"1":51,"2":61,"3":68,"4":76,"5":81,"6":92,"7":100,"8":103,"9":113,"10":116,"11":124,"12":128,"13":132,"14":135,"15":136,"16":140,"17":145,"18":148,"19":151,"20":152,"21":156,"22":158,"23":162,"24":163,"25":166,"26":170,"27":172,"28":174,"29":176,"30":178,"31":182,"32":184,"33":190,"34":193,"35":194,"36":195,"37":196,"38":207,"39":209,"40":214,"42":218,"43":219,"44":225,"45":229,"46":239,"47":242,"48":244,"49":246,"50":289,"51":311,"52":331,"53":332,"54":352,"55":353,"56":355,"57":358,"58":362,"59":370,"60":372,"61":373,"62":374,"63":377,"64":381,"65":386,"66":392,"67":394,"68":396,"69":397,"70":401,"71":402,"72":407,"73":410,"74":414,"75":415,"76":416,"77":417,"78":420,"79":422,"80":423,"81":431,"82":435,"83":439,"84":442,"85":443,"86":448,"87":449,"88":450,"89":451,"90":459,"91":463,"92":470,"93":471,"95":473,"97":476,"98":477,"99":483,"100":487,"101":493,"102":494,"103":503,"104":513,"105":514,"106":519,"107":523,"108":525,"109":529,"110":535,"111":537,"112":542,"113":563,"114":569,"115":573,"116":574,"117":576,"118":581,"119":583,"120":598,"121":602,"122":607,"123":619,"124":640,"125":661,"126":663,"127":668,"128":671,"129":682,"130":710,"131":712,"132":720,"133":733,"134":740,"135":745,"136":747,"137":765,"138":767,"139":784,"140":785,"141":791,"142":793,"143":800,"144":801,"145":846,"146":856,"147":864,"148":867,"149":874,"150":885,"151":888,"152":891,"153":893,"154":901,"155":909,"156":915,"157":924,"158":925,"159":927,"160":944,"161":945,"162":947,"163":962,"164":970,"165":988,"166":1000,"167":1007,"168":1016,"169":1021},[56,58,63,74,82,85,86,98,99,108,109,118,149,161,165,167,169,171,175,185,187,188,192,198,199,202,204,216,221,222,226,227,228,230,237,240,241,245,247,255,312,323,327,329,360,378,379,391,404,418,424,425,432,433,452,455,456,457,458,460,464,465,475,479,481,482,485,488,489,490,491,497,502,506,509,511,520,521,524,538,545,555,556,572,586,595,600,614,620,633,636,647,650,658,667,669,677,678,681,690,702,724,737,758,774,782,809,823,825,833,842,845,855,859,860,862,875,912,921,923,929,932,948,954,955,977,999,1012,1017,1020],[55,72,83,114,121,144,150,173,177,179,180,181,183,186,197,200,217,223,224,232,233,236,238,249,254,308,354,359,371,376,383,385,387,388,390,413,421,426,427,434,438,440,441,446,461,480,484,486,492,496,499,500,504,510,530,561,567,589,590,606,608,626,637,642,654,675,684,688,698,715,730,736,742,753,754,779,792,803,804,805,806,815,819,828,837,841,848,872,897,918,930,958,968,982,998,1005],[117,119,122,123,129,159,168,191,201,203,205,208,212,220,234,243,248,250,251,253,389,429,430,437,444,445,447,453,454,462,466,467,468,469,478,495,498,505,507,508,522,548,550,565,593,612,617,627,645,692,693,697,699,709,734,755,830,858,887,917,922,928,942,950,951,976,992,995],[206,210,211,213,231,235,252,428,501,532,533,582,639,676,683,704,705,739,757,829,831,879,890,935,956,994,1001,1008,1015],[189,512,527,540,554,562,564,580,609,616,673,679,685,726,761,768,777,778,798,863,878,889,902,905,910,911,960,965,979,983,1013],[517,526,531,544,546,618,722,728,764,817,818,881,882,906,936,949,967,978,989,1004],[541,632,635,646,670,731,748,775,826,843,844,861,919,966,969,1010],[575,634,638,653,666,700,727,729,795,849,952,959,980,987],[547,623,659,674,780,786,820,873,900,913,931,985],[597,615,680,750,807,854,895],[515,657,770,789,870,961],[866,914,971,972],[850,898],[884]]