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