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