[{"0":1,"1":2,"2":3,"3":4,"4":7,"5":9,"6":43,"7":45,"8":85,"9":86,"10":88,"11":89,"12":90,"13":92,"14":126,"15":127,"16":129,"17":160,"18":218,"21":221,"22":222,"23":223,"24":224,"25":225,"26":238,"27":239,"28":257,"29":258,"30":260,"31":261,"32":262,"33":263,"34":264,"35":266,"36":267,"37":268,"38":269,"39":270,"40":272,"41":342,"42":343,"43":345,"44":346,"45":347,"46":349,"47":350,"48":351,"49":380,"50":382,"51":414,"52":415,"53":416,"54":471,"55":472,"56":473,"57":474,"58":475,"59":476,"60":495,"61":496,"62":497,"63":498,"64":499,"65":545,"66":546,"67":550,"68":556,"69":557,"70":563,"71":572,"72":574,"73":579,"74":583,"75":588,"76":594,"77":600,"78":623,"79":625,"80":630,"81":638,"82":639,"83":644,"84":647,"85":652,"86":674,"87":684,"88":695,"89":728,"90":729,"91":731,"92":734,"93":742,"94":748,"95":757,"96":761,"97":792,"98":793,"99":796,"100":797,"101":814,"102":815,"103":826,"104":830,"105":835,"106":845,"107":849,"108":852,"109":884,"110":891,"111":898,"112":904,"113":910,"114":911,"115":928,"116":957,"117":958,"118":981,"119":1017,"120":1022},[5,6,8,11,12,13,14,15,17,18,44,49,54,87,91,94,95,96,98,99,101,102,103,105,131,162,163,166,172,190,191,226,227,228,240,265,271,274,275,276,279,344,348,352,353,354,355,356,357,358,359,360,361,381,389,417,420,443,444,445,449,450,451,477,478,479,480,481,482,483,500,501,527,533,540,542,543,547,571,597,607,613,619,650,658,665,673,690,718,733,746,750,766,782,784,785,790,798,816,842,861,863,931,935,942,962,967,972,975,991,1015,1019],[0,10,16,19,23,24,25,26,28,47,48,50,51,53,56,57,59,60,62,63,64,65,93,97,100,106,107,108,109,111,128,130,138,139,141,161,167,175,194,195,196,198,199,229,230,241,243,259,273,280,281,282,284,285,306,362,363,364,365,366,367,369,370,384,392,447,448,452,455,456,485,487,488,489,502,521,524,529,532,544,548,562,566,570,573,591,603,608,610,615,621,632,655,672,683,706,724,741,763,777,789,809,822,827,859,894,901,912,914,920,927,934,937,940,977,980,986,987,988,1007,1009,1018],[29,30,31,32,33,35,46,52,55,58,68,77,79,104,110,112,114,115,116,117,119,120,132,133,134,135,136,145,146,147,148,149,150,153,168,169,170,174,177,192,193,201,206,208,209,210,231,233,242,244,245,246,249,250,251,277,278,283,286,288,289,291,292,294,300,302,303,304,305,307,309,311,322,325,335,368,371,372,373,374,383,386,387,393,394,401,418,425,446,454,458,459,460,463,464,484,486,491,492,493,507,515,525,528,530,560,569,587,589,617,659,676,688,696,704,717,725,726,727,736,767,794,807,828,837,868,870,886,896,913,916,924,944,955,974,992,1010,1011],[20,22,27,34,38,39,40,41,61,66,67,70,71,75,80,81,82,83,113,121,122,137,140,142,143,151,156,158,165,173,187,188,189,197,200,202,203,204,205,214,215,216,232,234,235,236,247,248,252,253,254,255,290,293,299,308,310,314,315,316,317,318,319,320,321,323,340,375,378,385,388,390,391,397,400,403,404,419,422,427,429,432,453,457,461,462,465,466,470,503,504,508,509,510,519,552,564,565,578,581,618,636,642,662,668,681,697,716,781,805,810,834,843,876,880,890,892,907,943,964,990,995],[21,69,72,73,74,76,78,84,118,123,124,144,155,157,164,171,176,182,211,212,213,217,256,287,301,312,313,324,326,328,329,330,331,332,333,334,336,339,376,379,395,398,399,409,410,423,428,430,431,434,435,439,467,468,469,505,506,513,584,599,612,631,648,657,666,692,702,759,768,769,786,847,860,871,872,874,905,919,923,965,989,1003,1012,1016],[36,37,125,152,154,178,179,180,181,184,207,295,296,297,298,327,341,377,396,402,405,406,407,411,421,424,426,433,437,440,442,490,511,575,586,604,614,616,660,661,667,720,745,755,760,773,821,823,848,857,882,903,917,966,984,993,1001],[42,159,183,185,186,237,408,412,413,436,438,441,494,541,582,602,635,663,685,686,691,699,705,730,739,747,765,770,774,804,818,820,850,902,915,918,926,946,947,960,969,979,1014,1023],[337,338,526,577,593,628,643,653,656,689,693,712,714,744,752,764,783,795,813,824,833,836,853,855,866,867,869,887,889,895,897,932,933,939,945,952,959,994],{"0":517,"1":522,"2":531,"4":592,"5":596,"6":601,"7":605,"8":611,"9":629,"10":637,"11":640,"12":654,"13":664,"14":671,"15":678,"16":680,"17":721,"18":737,"19":740,"20":751,"21":776,"22":778,"23":779,"24":787,"25":800,"26":803,"27":832,"28":846,"29":961,"30":976,"31":978,"32":996,"33":997,"34":1008},[516,520,561,567,576,649,675,694,708,715,738,743,756,771,801,808,831,858,877,888,950,963,1002],[514,551,555,590,622,633,710,719,732,749,791,802,841,862,864,899,930,998],[512,523,549,558,595,606,627,634,641,670,703,707,825,839,854,856,900,908,922,970,1005,1006],[554,559,609,620,624,700,772,775,799,806,840,865,875,909,938,954,971,973],[534,539,568,580,645,651,669,679,723,788,879,893,925,936],[585,598,735,780,844,885,953,1004],[535,536,538,626,711,812,881,941,985],[722,754,811,873,878,956,968],[518,646,677,709,713,829,838,906],[753,929,999,1020],[687,698,758,819,951],[817,883,949,982],[553,701,1000,1013],[682,851,983],[762,921],[948]]