[[0,1,2,3,4,5,6,9,10,11,13,14,15,16,17,20,21,23,24,25,27,28,29,30,33,35,37,39,40,41,42,43,44,45,47,49,50,51,52,53,55,59,62,63,64,67,68,69,70,75,76,77,79,82,83,84,86,87,88,89,91,92,230,232,233,234,235,237,238,239,240,241,242,243,244,245,247,249,251,252,253,254,255,256,257,258,259,260,261,263,265,266,267,268,269,270,271,272,273,274,276,277,278,279,280,282,283,286,288,293,295,298,299,300,301,302,306,309,311,312,314,315,318,319,321,322,479,490,493,506,507,520,534,543,549,550,559,586,587,590,594,597,609,610,612,614,616,628,638,639,642,643,651,658,659,667,669,675,685,691,692,693,697,700,701,708,712,713,719,724,725,726,732,740,747,754,762,770,771,779,783,796,803,805,808,828,829,839,842,846,853,862,874,885,887,890,894,898,912],[7,8,12,18,34,36,38,48,54,57,58,60,61,65,72,73,74,78,96,101,102,103,104,105,106,108,109,110,112,113,114,115,116,117,119,120,121,122,126,127,128,133,135,136,138,139,142,143,144,148,155,156,157,165,166,167,170,174,179,180,181,184,187,188,229,246,250,262,264,275,284,285,289,292,294,297,305,310,313,316,320,323,324,326,328,333,334,336,337,338,340,341,343,344,345,346,347,348,352,355,359,360,361,364,365,367,368,369,370,371,372,373,374,378,381,382,384,386,390,391,396,397,402,407,408,409,411,416,458,460,462,468,471,481,482,483,497,500,505,511,512,514,517,523,524,526,527,528,541,542,561,563,569,574,576,577,579,580,582,615,618,627,645,649,650,654,656,663,666,670,672,679,686,695,703,704,723,727,735,744,746,748,755,757,760,761,763,765,766,767,769,775,776,784,794,804,806,817,818,823,826,834,836,878,880,892,896,899,904,908,909,913,915],{"0":19,"1":22,"2":26,"3":31,"4":32,"5":56,"6":71,"7":85,"8":90,"9":98,"10":107,"11":118,"12":125,"13":130,"14":131,"15":134,"16":137,"17":140,"18":145,"19":146,"20":147,"21":149,"22":150,"23":152,"24":154,"25":158,"26":160,"27":161,"28":163,"29":168,"30":169,"31":171,"32":173,"33":175,"34":178,"35":182,"36":183,"37":185,"38":186,"39":189,"40":199,"41":200,"42":208,"43":209,"44":210,"45":211,"46":212,"47":213,"48":214,"49":216,"50":218,"51":219,"52":220,"54":223,"55":231,"56":236,"57":248,"58":287,"59":291,"60":296,"61":304,"62":317,"63":327,"64":330,"65":332,"66":339,"67":342,"68":349,"69":350,"70":353,"71":358,"72":363,"73":375,"74":377,"75":387,"76":389,"77":398,"78":399,"79":400,"80":404,"81":406,"82":414,"83":418,"84":420,"85":421,"86":422,"87":423,"88":424,"89":425,"90":427,"91":432,"92":434,"93":436,"94":437,"95":438,"96":440,"97":442,"98":443,"99":444,"100":446,"101":447,"102":449,"103":450,"104":451,"105":452,"106":457,"107":461,"108":465,"109":467,"110":469,"111":474,"112":475,"113":480,"114":485,"115":489,"116":498,"117":504,"118":510,"119":513,"120":519,"121":521,"122":522,"123":536,"124":551,"125":552,"126":554,"127":556,"128":567,"129":573,"130":588,"131":591,"132":600,"133":623,"134":626,"135":634,"136":636,"137":653,"138":660,"139":668,"140":687,"141":689,"142":707,"143":717,"144":728,"145":733,"146":736,"147":758,"148":759,"149":782,"150":786,"151":787,"152":788,"153":793,"154":795,"155":800,"156":809,"157":813,"158":816,"159":819,"160":820,"161":821,"162":830,"163":835,"164":855,"165":856,"166":857,"167":861,"168":866,"169":867,"170":868,"171":871,"172":872,"173":886,"174":901,"175":907,"176":910},[66,80,81,93,99,100,111,123,124,129,141,153,162,164,177,190,196,203,204,206,217,221,281,290,303,307,308,325,329,331,335,351,354,356,366,383,385,388,394,395,401,410,412,413,426,428,429,439,445,453,463,464,466,477,501,502,503,508,509,515,516,525,529,544,547,548,557,558,560,565,566,583,593,595,598,606,607,608,611,621,622,624,632,635,646,647,652,661,694,699,716,720,731,737,739,741,745,749,768,785,790,798,814,822,825,827,831,832,840,843,849,859,865,869,873,891,897,903,905,914],[46,94,95,97,132,151,159,172,176,192,193,194,197,198,202,207,215,224,225,226,227,228,357,362,376,379,380,392,393,403,405,415,417,419,430,431,433,435,441,448,454,478,484,491,499,533,562,572,596,599,613,625,648,657,676,682,715,718,730,764,778,781,811,812,845,847,851,854,864,870,881,889,911],[191,195,201,205,455,456,518,535,538,555,603,620,630,637,674,702,742,752,756,772,774,789,802,815,844,850,860,879],[470,487,539,546,564,589,605,617,629,633,641,644,677,680,799,884,895,902],[459,472,476,486,495,571,581,750,773,801,838,863,875,906],[488,553,604,688,729,777,780,791,792,837,852,882,883,888],[568,575,584,619,710,714,751,893],[473,530,537,602,671,678,690,698,705,722,807,841],[578,585,592,684,721,734,797,810,848,900],[494,531,540,631,662,681,683,696,711,876,877],[492,496,640,655,673,706,738,743,753],[532,601,665,709],[545,824,833,858],[570],[664]]