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