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