[[0,1,2,4,5,6,7,8,11,12,13,14,16,17,18,19,20,21,22,23,24,25,27,33,37,40,41,42,43,44,47,48,51,52,256,257,258,259,260,261,262,263,264,265,269,270,272,273,276,278,279,280,281,282,284,285,288,289,290,291,292,294,295,296,297,298,300,302,305,306,307,309,513,530,538,544,555,572,573,582,589,596,600,604,617,619,621,641,648,649,654,663,664,668,677,679,700,701,708,716,721,725,731,752,761,767,770,779,787,788,790,792,795,808,827,828,840,842,849,854,862,872,880,890,906,914,935,940,949,953,963,981,990,999,1010],{"0":3,"1":9,"2":10,"3":15,"4":29,"5":30,"6":31,"7":35,"8":39,"9":49,"10":53,"11":54,"12":55,"13":57,"14":59,"15":61,"16":64,"17":67,"18":68,"19":69,"20":70,"21":72,"22":78,"23":79,"24":80,"25":81,"26":82,"27":85,"28":86,"29":87,"30":91,"31":92,"32":93,"33":94,"34":96,"35":103,"36":107,"37":109,"38":266,"39":267,"40":268,"41":271,"42":275,"43":277,"44":283,"45":286,"46":287,"47":293,"48":299,"49":303,"50":310,"51":311,"52":312,"53":318,"54":319,"55":321,"56":322,"58":324,"59":326,"60":328,"61":330,"62":331,"63":332,"64":335,"65":336,"66":337,"67":339,"68":342,"69":344,"70":348,"71":350,"72":351,"73":354,"74":355,"75":358,"76":362,"77":363,"78":519,"79":533,"80":542,"81":547,"82":550,"83":551,"84":562,"85":563,"86":581,"87":606,"88":613,"89":669,"90":684,"91":735,"92":741,"93":746,"94":747,"95":756,"96":759,"97":760,"98":765,"99":772,"100":773,"101":774,"102":793,"103":794,"104":796,"105":805,"106":807,"107":822,"108":824,"109":832,"110":833,"111":838,"112":847,"113":867,"114":871,"115":893,"116":900,"117":907,"118":910,"119":925,"120":929,"121":933,"122":950,"123":954,"124":956,"125":971,"126":978,"127":980,"128":984,"129":988,"130":996,"131":1004},{"0":26,"1":28,"2":34,"3":36,"4":46,"5":58,"6":60,"7":65,"8":66,"9":71,"10":73,"11":74,"12":75,"13":76,"14":83,"15":84,"16":88,"17":95,"18":97,"19":101,"20":106,"21":108,"22":110,"23":116,"24":122,"25":123,"26":124,"27":126,"28":131,"29":134,"30":135,"31":137,"32":139,"33":142,"34":146,"35":147,"36":151,"37":152,"38":154,"39":155,"40":156,"41":157,"42":162,"43":165,"44":166,"45":274,"46":327,"47":329,"48":333,"49":334,"50":341,"51":347,"52":349,"53":356,"54":357,"55":359,"56":361,"57":365,"58":367,"59":368,"60":369,"61":373,"62":377,"63":378,"64":379,"66":385,"67":386,"68":392,"70":395,"71":400,"72":402,"73":414,"74":417,"75":517,"76":529,"77":536,"78":541,"79":545,"80":564,"81":576,"82":583,"83":585,"84":630,"85":640,"86":644,"87":653,"88":658,"89":678,"90":689,"91":690,"92":691,"93":693,"94":698,"95":730,"96":732,"97":733,"98":742,"99":751,"100":754,"101":776,"102":781,"103":799,"104":818,"105":823,"106":825,"107":830,"108":834,"109":839,"110":848,"111":850,"112":882,"113":886,"114":902,"115":903,"116":922,"117":934,"118":942,"119":959,"120":960,"121":961,"122":979,"123":982,"124":989,"125":992,"126":1009,"127":1016,"128":1020},{"0":32,"1":45,"2":56,"3":77,"4":89,"5":99,"6":102,"7":105,"8":111,"9":119,"10":125,"11":127,"12":129,"13":130,"14":138,"15":143,"16":145,"17":148,"18":158,"19":159,"20":160,"21":163,"22":174,"23":177,"24":178,"25":183,"26":185,"27":190,"28":192,"29":193,"30":194,"31":196,"32":202,"33":203,"34":207,"35":210,"36":211,"37":217,"38":301,"39":304,"40":308,"41":314,"42":315,"43":316,"44":320,"45":338,"46":340,"47":345,"48":360,"49":364,"50":366,"51":370,"52":381,"53":382,"54":393,"55":396,"56":397,"57":398,"58":410,"59":411,"60":412,"61":413,"62":419,"63":421,"64":422,"65":428,"67":434,"68":441,"69":443,"70":446,"71":447,"72":448,"73":461,"74":522,"75":526,"76":532,"77":534,"78":556,"79":561,"80":571,"81":577,"82":578,"83":579,"84":586,"85":611,"86":614,"87":618,"88":625,"89":636,"90":642,"91":647,"92":651,"93":661,"94":682,"95":696,"96":718,"97":719,"98":723,"99":728,"100":736,"101":745,"102":755,"103":758,"104":766,"105":780,"106":782,"107":800,"108":804,"109":814,"110":853,"111":861,"112":877,"113":883,"114":887,"115":892,"116":927,"117":937,"118":946,"119":947,"120":957,"121":967,"122":968,"123":1001,"124":1015},{"0":38,"1":50,"2":62,"3":63,"4":90,"5":104,"6":112,"7":113,"8":114,"9":120,"10":132,"11":136,"12":149,"13":153,"14":161,"15":168,"16":169,"17":171,"18":176,"19":181,"20":187,"21":189,"22":191,"23":195,"24":209,"25":219,"26":224,"27":226,"28":227,"29":228,"30":231,"31":238,"32":239,"33":241,"34":245,"35":247,"36":249,"37":253,"38":313,"39":317,"40":325,"41":343,"42":346,"43":352,"44":353,"45":371,"46":372,"47":383,"48":384,"49":387,"50":388,"51":389,"52":391,"53":399,"54":407,"55":418,"56":420,"57":424,"58":430,"59":431,"60":435,"61":440,"62":445,"63":450,"64":452,"65":453,"66":459,"67":465,"68":468,"69":470,"70":471,"71":482,"72":484,"73":486,"74":496,"75":502,"76":505,"78":511,"79":535,"80":537,"81":566,"82":575,"83":591,"84":599,"85":605,"86":616,"87":632,"88":639,"89":646,"90":660,"91":662,"92":670,"93":673,"94":680,"95":695,"96":697,"97":699,"98":714,"99":738,"100":750,"101":771,"102":786,"103":791,"104":798,"105":835,"106":837,"107":841,"108":846,"109":851,"110":860,"111":870,"112":888,"113":901,"114":936,"115":976,"116":977,"117":993,"118":1003},[98,115,121,128,140,141,144,150,164,170,172,173,175,180,182,188,197,199,201,208,213,214,215,221,225,229,235,374,375,401,404,406,416,423,426,429,437,439,442,449,456,457,458,462,463,464,466,467,481,487,498,503,504,509,510,520,540,554,559,594,607,622,631,645,672,675,676,685,688,694,715,726,743,785,803,819,831,836,855,858,881,895,911,913,920,930,931,941,943,948,965,970,986,1000,1002,1018],[100,118,133,167,179,184,186,198,200,205,206,212,216,220,230,242,243,246,248,250,251,252,376,390,409,415,432,436,451,469,472,473,475,485,489,490,495,500,501,507,514,527,528,557,567,590,608,610,612,620,634,652,659,666,674,683,687,692,703,704,706,710,717,737,769,778,844,856,863,873,878,885,909,915,917,918,926,939,962,997,1008],[117,218,223,232,234,237,240,255,427,438,444,455,460,474,476,477,479,480,488,491,492,493,494,499,516,521,539,543,568,598,623,627,665,671,713,744,749,764,768,775,810,815,826,864,876,894,897,899,908,919,921,928,952,958,969,973,975,1011,1019,1022],[204,222,236,254,403,405,408,478,497,549,565,574,580,595,602,615,629,643,650,656,657,705,707,711,722,724,734,784,797,813,821,857,879,896,904,944,945,974,994,995,1007,1017,1021],[244,425,454,483,531,560,570,592,593,667,740,748,762,789,811,816,843,859,898,905,916,924,964,1013],[233,508,587,597,609,637,709,712,753,777,801,809,889,891,923,932,938,1005,1006,1014],[518,523,524,525,548,603,739,783,852,865,884,972],[512,552,624,635,806,812,817,829,874,951,966,1023],[584,588,601,626,757,912,955,983,987,998],[628,638,655,686,720,727,845,866,869,875,991],[515,558,569,702,729,820,868],[553,633,681,802,985],[546,763],[1012]]