[[0,2,3,4,5,7,9,12,13,19,35,36,37,40,44,45,49,54,55,56,57,58,59,61,65,67,69,70,71,87,101,102,103,104,105,106,107,108,110,111,112,113,115,117,118,119,120,121,137,139,144,145,148,151,155,157,160,163,164,165,166,167,170,171,172,174,175,210,211,212,213,234,242,243,244,245,246,248,249,250,252,258,259,260,262,267,269,293,295,297,299,302,306,307,308,312,314,315,316,318,319,322,325,330,332,333,336,337,340,341,342,343,345,346,364,365,369,371,373,375,377,380,381,383,385,388,391,392,394,395,396,397,399,400,401,403,404,416,417,419,421,425,430,434,435,436,437,438,441,442,443,444,445,447,449,450,452,454,466,470,471,474,478,480,481,483,485,486,487,489,492,493,494,495,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,524,525,528,539,540,541,548,552,554,555,556,561,562,563,565,569,570,571,572,573,574,591,592,595,598,599,600,601,602,603,606,608,613,617,620,621,622,623,624,625,627,628,630,631,634,635,636,637,638,639,642,643,647,662,665,667,671,673,677,678,679,681,683,684,685,687,688,692,693,695,697,699,700,701,702,704,706,708,710,712,713,714,715,716,717,720,722,744,745,751,756,759,778,779,780,781,782,783,784,785,787,788,789,790,791,807,810,812,815,816,817,818,821,822,825,828,833,834,836,837,838,839,840,841,842,844,847,848,849,850,851,868,871,873,875,877,895,897,898,899,900,901,902,904,907,908,913,916,937,940,941,943,946,947,950,955,962,965,966,967,968,969,972,973,974,975,976,977,978,979,980,981,983,984,998,1001,1002,1003,1004,1005,1007,1008,1009,1014,1018,1019,1020,1021,1022],[1,8,10,11,14,15,17,20,21,22,23,24,26,27,28,29,30,32,39,41,48,50,51,52,60,62,63,64,68,72,73,88,96,109,114,125,126,127,128,129,130,132,133,142,147,154,159,161,168,173,176,181,184,186,187,188,190,191,192,193,194,203,206,207,209,216,217,219,228,230,237,241,247,251,257,261,263,265,266,268,271,274,280,281,282,290,294,296,298,300,304,309,310,313,317,321,323,324,326,328,329,331,334,335,338,348,350,351,353,354,356,357,358,359,361,366,367,372,379,382,393,405,407,408,409,411,412,415,431,432,439,440,446,448,451,453,455,457,460,461,463,464,473,476,477,484,496,513,514,516,518,519,520,521,531,547,550,551,557,558,559,560,564,566,567,568,577,579,588,593,594,596,610,611,615,616,618,619,629,640,641,644,646,648,651,666,668,669,672,675,682,689,691,694,696,698,703,707,709,711,719,721,723,724,725,726,728,729,730,732,733,734,735,736,737,738,752,762,765,766,770,773,774,792,794,795,796,799,800,804,808,809,813,823,830,832,835,843,846,852,853,857,858,859,861,862,863,864,865,874,876,887,888,903,910,911,914,915,918,919,921,922,923,927,929,935,938,939,942,944,945,948,954,956,957,958,961,963,970,971,982,985,987,988,990,992,993,994,996,1000,1006,1010,1011,1012,1015,1016,1023],{"0":6,"1":16,"2":18,"3":25,"4":31,"5":33,"6":34,"7":38,"8":43,"9":47,"10":53,"11":66,"12":75,"19":82,"24":116,"25":122,"26":123,"27":124,"28":131,"29":135,"30":143,"31":153,"32":156,"33":162,"34":177,"35":195,"36":214,"37":215,"38":218,"39":220,"40":222,"41":223,"42":224,"43":225,"44":231,"45":233,"46":235,"47":236,"48":238,"49":239,"50":253,"51":254,"52":255,"53":256,"54":264,"55":270,"56":272,"57":273,"58":278,"59":283,"60":285,"61":287,"62":288,"63":289,"64":291,"65":292,"66":301,"67":311,"68":320,"69":327,"70":339,"71":344,"72":347,"73":352,"74":368,"75":387,"76":398,"77":402,"78":420,"79":423,"80":427,"81":428,"82":458,"83":462,"84":472,"85":475,"86":482,"87":491,"88":517,"89":522,"90":575,"91":576,"92":581,"93":582,"94":583,"95":585,"96":589,"97":604,"98":605,"99":607,"100":609,"101":612,"102":614,"103":626,"104":632,"105":633,"106":649,"107":655,"108":656,"109":659,"110":660,"111":664,"112":670,"113":676,"114":686,"115":690,"116":705,"117":718,"118":727,"119":731,"120":747,"121":757,"122":760,"123":761,"124":763,"125":764,"126":772,"127":775,"128":786,"129":793,"130":798,"131":803,"132":806,"133":811,"134":824,"135":829,"136":831,"137":845,"138":854,"139":855,"140":856,"141":860,"142":872,"143":882,"144":885,"145":889,"146":891,"147":892,"148":905,"149":906,"150":909,"151":912,"152":917,"153":920,"154":924,"155":931,"156":953,"157":986,"158":995,"159":997,"160":1013,"161":1017},{"0":42,"1":46,"3":93,"4":134,"5":140,"6":141,"7":146,"8":149,"9":150,"10":152,"11":178,"12":179,"13":180,"14":182,"15":183,"16":185,"17":189,"18":196,"19":197,"20":198,"21":199,"22":200,"23":201,"24":202,"25":204,"26":205,"27":208,"28":221,"29":226,"30":229,"31":240,"32":275,"33":276,"34":277,"35":279,"36":303,"37":305,"38":349,"39":355,"40":360,"41":362,"42":363,"43":374,"44":386,"45":389,"46":406,"47":410,"48":413,"49":414,"50":424,"51":426,"52":429,"53":433,"54":456,"55":459,"56":488,"57":515,"58":578,"59":580,"60":584,"61":586,"62":587,"63":590,"64":597,"65":645,"66":650,"67":652,"68":654,"69":657,"70":658,"71":661,"72":663,"73":674,"74":680,"75":743,"76":746,"77":748,"78":749,"79":750,"80":754,"81":755,"82":771,"83":776,"84":797,"85":801,"86":802,"87":805,"88":814,"89":820,"90":826,"91":827,"92":867,"93":870,"94":884,"95":890,"96":896,"97":925,"98":928,"99":930,"100":933,"101":936,"102":951,"103":960,"104":991,"105":999},[74,136,227,232,284,286,376,378,384,418,422,465,468,490,529,530,535,537,538,545,549,653,739,740,742,753,768,769,777,819,869,878,879,880,883,926,932,934,952,959,964,989],[169,467,469,479,527,532,533,534,536,543,544,546,553,741,758,767,881,893,894,949],[138,158,390,523,526,542,866,886],[370],[86,89,91,99,100],[90,92,98],[94]]