[[0,1,2,3,5,7,8,9,10,11,12,13,14,15,17,18,21,25,26,27,28,29,30,31,32,33,34,35,36,39,40,41,42,43,46,49,50,51,52,53,54,56,57,58,60,61,62,63,65,67,68,69,70,72,73,74,75,77,79,80,81,82,83,84,85,86,87,88,89,90,91,94,95,98,100,102,103,105,107,108,109,110,256,257,258,260,261,263,264,265,266,267,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,289,290,291,292,293,294,295,296,297,298,300,301,302,303,304,305,306,307,308,310,311,312,313,314,315,316,319,320,321,325,326,327,328,329,330,331,334,335,336,337,338,339,340,341,342,343,345,347,350,351,352,353,354,356,357,358,359,360,361,362,363,364,365,366,518,522,523,534,535,546,566,585,586,589,590,596,597,600,617,626,629,642,643,649,654,656,661,664,669,671,673,674,683,695,701,718,720,734,743,746,749,754,756,757,763,776,781,787,804,820,832,846,853,856,863,865,870,872,879,889,893,899,905,906,909,921,926,930,936,937,939,947,953,954,969,970,971,974,986,989,991,1010,1011,1017,1022,1023],[4,6,16,19,22,24,37,38,44,47,48,55,64,71,76,78,92,93,97,101,111,114,116,117,118,119,120,123,124,126,127,128,129,130,133,134,135,137,138,139,140,142,143,145,147,149,150,152,153,154,156,157,158,159,160,162,163,166,167,168,169,170,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,201,204,205,206,208,209,210,211,212,213,214,216,217,220,222,224,227,228,231,233,238,239,240,262,288,299,309,322,323,324,332,333,348,355,367,370,371,374,375,380,381,382,385,386,387,388,391,393,394,397,398,399,400,401,402,404,406,408,410,411,412,413,414,416,417,422,425,427,428,429,430,431,433,434,435,438,440,441,443,444,445,446,447,448,450,452,454,455,459,460,461,462,464,465,466,467,468,471,473,474,476,477,479,480,481,487,491,494,495,514,515,543,550,556,570,581,591,598,612,613,619,630,632,633,640,646,653,655,658,662,665,677,680,689,697,707,715,721,722,723,725,727,736,737,758,764,774,775,778,784,789,797,800,801,802,803,811,814,821,824,826,828,831,837,840,841,842,848,851,858,862,864,868,874,882,886,890,896,910,914,917,922,934,944,946,949,956,961,967,975,976,979,985,998,999],{"0":20,"1":23,"2":45,"3":59,"4":66,"5":96,"6":99,"7":104,"8":106,"9":112,"10":113,"11":115,"12":121,"13":122,"14":132,"15":141,"16":144,"17":146,"18":148,"19":155,"20":161,"21":165,"22":171,"23":215,"24":219,"25":221,"26":223,"27":225,"28":226,"29":229,"30":232,"31":234,"32":236,"33":243,"34":244,"35":246,"36":247,"37":248,"39":253,"40":254,"41":255,"42":259,"43":268,"44":287,"45":317,"46":344,"47":346,"48":349,"49":368,"50":369,"51":372,"52":373,"53":376,"54":378,"55":379,"56":383,"57":384,"58":389,"59":390,"60":392,"61":395,"62":396,"63":403,"64":405,"65":407,"66":415,"67":418,"68":423,"69":424,"70":432,"71":436,"72":437,"73":442,"74":449,"75":453,"76":458,"77":469,"78":470,"79":472,"80":475,"81":478,"82":482,"83":484,"84":485,"85":486,"86":489,"87":492,"88":496,"89":497,"90":501,"91":503,"92":504,"93":505,"94":506,"95":507,"96":511,"97":519,"98":528,"99":532,"100":552,"101":562,"102":576,"103":587,"104":605,"105":607,"106":618,"107":625,"108":644,"109":682,"110":685,"111":686,"112":693,"113":708,"114":728,"115":732,"116":740,"117":748,"118":750,"119":759,"120":761,"121":767,"122":791,"123":795,"124":806,"125":808,"126":818,"127":822,"128":825,"129":827,"130":829,"131":834,"132":836,"133":838,"134":850,"135":857,"136":877,"137":878,"138":883,"139":885,"140":902,"141":913,"142":915,"143":928,"144":945,"145":950,"146":951,"147":952,"148":959,"149":966,"150":978,"151":987,"152":988,"153":992,"154":993,"155":1001,"156":1009},[125,131,136,151,164,199,200,202,203,207,218,235,237,242,245,249,318,377,419,420,426,439,451,456,457,463,483,490,498,499,500,502,508,509,510,524,529,533,537,540,541,549,551,558,582,593,595,603,606,609,610,615,616,622,627,636,641,647,648,666,678,681,703,714,719,730,738,744,751,755,762,765,768,786,790,793,794,819,833,843,866,881,884,891,904,916,933,958,964,977,994,1008,1019],[230,241,251,409,421,488,493,520,531,538,539,571,573,578,588,599,601,621,628,645,668,672,696,705,711,726,731,745,760,780,796,798,835,844,860,867,887,894,911,938,963,983,997,1002,1005,1016],[563,569,575,577,594,604,620,637,650,657,709,771,779,810,813,823,845,852,900,908,923,931,940,955,980,1015,1021],[521,527,555,557,564,565,608,639,670,690,699,717,752,782,792,839,873,901,973,995,1006,1007,1018],[250,553,561,676,687,691,692,694,704,706,769,773,783,854,861,880,895,898,903,965,981,1004],[542,544,547,548,560,567,574,580,584,667,684,729,733,735,815,816,847,859,869,907,925,943],[513,635,688,702,710,716,741,747,807,812,927,941,968,982,996,1000,1013],[611,638,659,675,679,700,785,788,830,876,918,920,957,984],[517,559,592,651,698,849,888,892,924,972,1012],[512,579,660,663,753,799,855,871,912,948,960],[526,536,554,572,634,919,942,990,1020],[530,623,624,631,652,712,742,766,805,817],[516,525,602,713,724,739,770,772,897,929,935,962],[568,583,614,777,809,1003,1014],[875,932],[545]]