[[1,2,3,6,8,10,11,12,15,16,17,18,19,22,24,25,27,28,30,35,36,38,39,40,42,44,45,46,47,48,49,53,54,57,58,61,62,63,65,67,70,256,257,258,259,260,261,262,263,264,265,266,267,268,269,271,274,275,276,279,280,281,282,283,285,286,288,289,292,293,296,297,298,299,301,305,310,311,314,315,317,318,319,322,323,324,326,327,514,516,517,521,525,529,531,537,557,562,563,569,576,585,592,598,601,602,603,604,613,617,622,626,633,639,645,646,647,658,659,673,682,687,691,701,711,713,716,725,732,736,739,763,769,770,787,788,794,809,822,823,844,846,848,849,857,861,873,885,886,896,904,921,925,929,939,955,956,958,977,979,984,1005,1007,1011],{"0":0,"1":4,"2":5,"3":9,"4":13,"5":14,"6":20,"7":23,"8":26,"9":29,"10":31,"11":32,"12":34,"13":41,"14":43,"15":50,"16":51,"17":52,"18":55,"19":56,"20":60,"21":64,"22":66,"23":68,"24":71,"25":75,"26":77,"27":79,"28":80,"29":81,"30":82,"31":83,"32":85,"33":87,"34":89,"35":91,"36":92,"37":97,"38":99,"39":100,"40":102,"41":103,"42":105,"43":106,"44":107,"45":109,"46":114,"47":115,"48":118,"49":119,"50":120,"51":121,"52":122,"53":131,"54":134,"55":139,"56":140,"57":143,"58":156,"59":272,"60":290,"61":291,"62":300,"63":303,"64":306,"65":307,"66":312,"67":313,"68":316,"69":333,"70":334,"71":335,"72":336,"73":337,"74":340,"75":341,"76":342,"77":343,"79":346,"80":347,"81":348,"82":349,"83":352,"84":354,"85":356,"86":357,"87":358,"88":359,"89":360,"90":361,"91":363,"92":366,"93":370,"94":374,"95":377,"96":379,"97":380,"98":384,"99":388,"100":389,"101":390,"102":391,"103":392,"104":395,"105":401,"106":407,"107":409,"108":410,"109":412,"110":413,"111":512,"112":526,"113":532,"114":533,"115":536,"116":551,"117":558,"118":564,"119":570,"120":571,"121":572,"122":573,"123":575,"124":589,"125":594,"126":596,"127":600,"128":618,"129":638,"130":648,"131":651,"132":666,"133":667,"134":668,"135":680,"136":685,"137":690,"138":695,"139":699,"140":708,"141":710,"142":712,"143":717,"144":718,"145":720,"146":734,"147":741,"148":744,"149":746,"150":749,"151":753,"152":760,"153":764,"154":766,"155":773,"156":781,"157":797,"158":820,"159":821,"160":826,"161":829,"162":836,"163":842,"164":843,"165":847,"166":852,"167":853,"168":855,"169":856,"170":858,"171":872,"172":874,"173":877,"174":879,"175":894,"176":899,"177":908,"178":918,"179":919,"180":920,"181":923,"182":927,"183":940,"184":943,"185":945,"186":952,"187":954,"188":959,"189":972,"190":975,"191":995,"192":1002,"193":1009,"194":1010,"195":1012,"196":1014,"197":1018,"198":1019,"199":1020,"200":1022},[7,21,37,59,69,72,84,86,90,96,98,110,111,112,116,123,128,130,133,141,145,146,147,148,149,151,152,155,158,161,162,163,169,170,173,174,177,181,184,185,186,187,192,194,195,197,199,202,204,205,207,213,216,219,225,234,237,270,273,277,278,284,287,294,302,304,321,325,338,339,350,351,362,364,365,367,369,371,372,373,382,383,386,394,402,405,411,424,425,426,428,430,431,440,448,450,453,454,459,469,477,481,492,495,513,522,528,535,540,541,552,553,556,561,565,566,567,574,578,581,582,583,584,586,588,607,628,629,632,637,649,652,654,657,660,678,683,689,697,698,702,719,723,726,737,738,745,755,757,758,759,761,765,771,782,785,786,789,793,800,805,808,810,813,828,838,850,867,868,883,884,887,892,893,895,905,906,911,913,933,934,935,937,961,962,966,968,971,981,985,986,987,992,1001,1015,1023],[33,73,74,78,95,101,104,108,113,117,124,125,126,132,135,136,137,138,153,154,157,164,165,166,167,168,171,172,180,183,189,190,193,196,198,200,201,206,210,211,212,214,217,218,224,228,229,230,231,232,233,239,245,248,249,252,253,255,295,308,309,320,328,329,330,331,345,353,355,375,378,381,393,396,398,399,400,406,420,421,423,427,429,434,435,441,442,444,445,449,451,455,457,458,460,461,462,464,465,470,471,473,478,479,482,484,486,490,491,493,494,509,511,534,543,544,545,560,577,590,597,606,611,619,625,641,650,655,656,662,672,676,692,703,704,705,715,742,748,767,777,779,790,806,816,830,840,845,859,864,866,870,875,897,900,901,903,910,926,942,953,957,969,973,989,990,993,996,999,1004],[88,93,129,142,144,178,179,182,188,191,203,208,209,215,226,235,238,241,244,254,332,368,403,408,414,416,418,419,433,436,443,446,452,463,467,468,472,474,475,476,480,485,487,489,496,497,498,499,504,510,524,527,539,542,546,547,550,554,587,593,599,610,612,614,616,623,627,640,644,661,663,664,671,681,694,700,706,730,740,747,750,754,772,774,783,784,791,792,798,804,807,811,812,817,825,865,871,881,890,912,915,917,924,931,932,938,941,944,946,948,960,978,991,998,1006,1008,1016,1021],[76,94,127,150,175,176,221,227,236,240,243,246,247,250,397,404,417,422,438,456,466,483,488,500,501,502,503,505,518,519,549,555,559,568,580,620,624,634,636,688,722,731,733,756,775,795,802,824,827,834,841,860,862,882,888,907,909,922,930,936,947,950,951,963,965,970,974,976,983,988,1000],[159,160,220,222,223,251,376,387,415,432,447,506,508,530,538,591,595,630,643,665,677,684,693,707,709,751,752,776,801,815,831,839,876,880,902,964,982,997,1013],[242,385,439,520,609,635,670,714,728,743,780,814,835,854,869,916,967,980,994],[437,679,686,762,778,832,837,889,914,928,1003,1017],[507,608,669,696,724,727,735,768,796,799,818,851,878,891,949],[579,605,621,631,642,653,898],[729,803,819,863],[523,615,674,675,721,833],[515,548]]