[[0,1,2,3,4,5,7,8,9,10,11,12,13,14,16,17,18,21,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,47,49,51,52,54,56,58,59,60,62,63,67,68,70,74,75,76,80,81,82,83,84,87,91,256,257,258,259,260,261,262,263,264,265,266,267,269,270,272,273,274,275,276,277,279,280,281,282,283,284,285,287,288,289,290,291,292,293,294,297,299,300,301,302,305,306,308,309,310,311,313,315,316,318,319,320,326,327,329,330,331,332,334,335,336,337,339,340,344,345,346,514,527,528,534,540,544,551,561,571,572,581,584,598,608,622,629,631,638,643,656,660,667,670,674,682,685,696,699,703,713,720,725,727,729,732,741,745,753,754,756,761,769,782,791,793,796,799,809,810,821,823,827,834,848,850,864,868,880,893,903,911,919,921,923,928,929,930,938,942,947,951,956,966,971,974,986,989,1000,1005,1007,1010,1014,1016,1019,1022],[6,15,20,22,34,46,48,50,55,57,61,64,65,66,71,73,77,78,79,86,88,89,90,92,94,95,96,97,98,102,103,104,105,107,109,110,111,112,113,114,115,116,117,118,119,120,121,122,126,128,130,133,134,135,137,139,140,141,142,143,146,147,148,150,152,154,155,156,157,163,164,165,166,167,168,170,172,176,177,178,180,181,182,183,195,196,197,268,271,286,295,296,298,303,307,312,314,317,324,328,347,348,353,354,356,360,361,362,363,365,366,367,368,370,371,373,374,377,379,380,381,385,387,389,392,393,394,397,398,399,400,402,404,406,407,409,413,415,421,422,423,424,425,426,430,431,434,435,436,437,438,440,441,443,451,453,512,523,543,559,573,574,577,585,586,588,592,595,602,610,613,614,615,627,633,635,645,648,649,650,655,658,659,662,671,676,677,707,711,712,716,719,742,766,768,773,774,781,789,790,801,808,815,820,829,831,833,842,849,852,853,870,871,889,906,907,909,914,927,932,933,934,936,940,945,953,961,962,968,979,980,984,985,988,999,1009,1011,1015],{"0":19,"1":85,"2":93,"3":100,"4":106,"5":108,"6":125,"7":127,"8":136,"9":138,"10":144,"11":145,"12":149,"13":153,"14":160,"15":161,"16":162,"17":173,"18":179,"19":184,"20":186,"21":187,"22":188,"23":189,"24":190,"25":191,"26":192,"27":194,"28":200,"29":201,"30":203,"31":204,"32":206,"33":208,"34":209,"35":212,"36":214,"37":215,"38":218,"39":219,"40":221,"41":223,"42":224,"43":226,"44":229,"45":231,"46":232,"47":233,"48":235,"49":236,"50":238,"51":240,"52":241,"53":244,"54":247,"55":248,"56":250,"57":251,"58":252,"59":253,"61":278,"62":304,"63":321,"64":322,"65":325,"66":333,"67":338,"68":341,"69":342,"70":343,"71":350,"72":351,"73":352,"74":357,"75":364,"76":369,"77":375,"78":376,"79":378,"80":383,"81":384,"82":386,"83":390,"84":391,"85":395,"86":396,"87":401,"88":403,"89":405,"90":414,"91":416,"92":419,"93":420,"94":432,"95":433,"96":439,"97":444,"98":445,"99":447,"100":449,"101":452,"102":455,"103":459,"104":461,"105":464,"106":465,"107":479,"108":481,"109":482,"110":483,"111":484,"112":485,"113":486,"114":487,"115":489,"116":491,"117":492,"118":493,"119":503,"120":509,"121":511,"122":518,"123":529,"124":532,"125":539,"126":542,"127":547,"128":549,"129":553,"130":562,"131":563,"132":567,"133":575,"134":576,"135":579,"136":589,"137":591,"138":594,"139":596,"140":600,"141":601,"142":606,"143":609,"144":617,"145":620,"146":621,"147":625,"148":628,"149":630,"150":637,"151":642,"152":644,"153":657,"154":669,"155":672,"156":679,"157":683,"158":684,"159":686,"160":687,"161":690,"162":698,"163":701,"164":726,"165":731,"166":734,"167":737,"168":755,"169":757,"170":770,"171":771,"172":778,"173":784,"174":804,"175":806,"176":819,"177":822,"178":824,"179":828,"180":830,"181":836,"182":844,"183":854,"184":855,"185":856,"186":859,"187":866,"188":881,"189":885,"190":892,"191":898,"192":899,"193":910,"194":916,"195":926,"196":931,"197":944,"198":946,"199":959,"200":964,"201":967,"202":975,"203":982,"204":987,"205":990,"206":992,"207":997,"208":1021},[53,69,72,99,101,123,131,132,151,158,169,171,175,185,193,202,216,220,222,225,227,228,230,234,239,242,243,255,323,358,359,372,388,408,410,411,417,418,427,428,442,448,450,454,456,457,458,463,466,468,470,471,472,473,474,476,478,490,496,497,498,499,500,504,506,507,510,515,526,533,538,550,566,569,570,587,597,603,612,619,623,651,654,664,665,697,702,708,717,724,740,743,746,747,758,763,788,792,807,816,817,818,826,832,835,839,840,845,846,847,857,872,873,882,883,905,912,913,917,918,920,954,958,960,977,978,1003,1008,1013],[124,129,159,199,207,211,217,245,246,249,349,382,412,446,460,469,477,480,495,501,502,505,508,517,548,555,607,634,639,640,661,692,700,714,715,721,722,733,786,805,814,858,861,874,879,897,925,935,943,963,970,976,981,1004,1023],[174,198,210,355,429,462,475,488,494,521,524,545,605,626,652,668,691,693,706,749,776,777,780,795,797,878,888,901,939,969,973,993,994],[205,213,467,535,536,546,564,565,568,718,752,759,760,764,772,775,779,783,798,800,803,837,851,860,862,863,865,891,900,948,995,998],[237,516,519,525,541,552,554,556,560,599,624,689,751,765,787,794,811,841,876,884,886,890,894],[530,557,558,583,593,632,646,647,673,680,710,728,730,744,843,867,869,887,896,904,924,950,955,965,972,1017],[520,582,590,616,666,675,704,709,738,838,915,922,941,1006,1018],[580,694,695,723,762,785,802,813,825,875,991,996,1001,1002],[522,537,578,636,736,750,812,877,908,952,1012],[513,531,678,688,705,748,767,895,957],[663,735,1020],[618,641,653,681,937],[604,611,739,902,983],[949]]