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