[[0,1,2,3,4,5,6,7,9,10,11,12,14,15,16,17,18,19,22,24,25,26,29,30,31,32,33,34,35,36,37,38,39,41,42,45,47,48,51,52,54,55,56,57,59,61,62,66,67,68,69,70,72,75,76,77,78,81,256,257,258,259,260,262,263,264,265,266,268,269,272,273,274,277,278,280,281,283,284,285,287,288,293,294,297,299,301,302,303,304,307,308,310,312,313,314,315,316,317,318,321,322,323,325,327,328,332,334,335,336,337,514,520,522,523,530,532,539,541,550,554,557,558,561,564,567,569,570,571,578,579,581,608,616,651,653,654,655,662,668,675,682,689,692,700,723,730,748,749,751,755,758,759,762,764,780,788,812,820,823,830,857,863,866,878,879,881,893,904,920,928,936,940,943,952,960,968,978,984,988,991,1000,1005,1020],[8,13,21,23,27,28,40,43,49,50,53,58,60,63,64,65,71,73,74,79,80,83,84,86,89,90,92,95,97,99,100,101,102,105,107,113,115,117,118,120,121,122,125,127,129,130,131,132,133,135,143,147,149,153,155,156,157,159,163,170,173,267,270,271,276,279,282,289,290,291,292,295,296,298,300,305,306,311,320,324,329,330,339,340,342,345,346,347,348,349,351,352,354,355,357,361,362,364,365,366,369,371,372,373,374,375,377,378,381,384,386,387,390,391,392,398,399,400,407,408,412,418,421,422,423,424,425,426,429,517,521,527,534,538,543,544,546,548,563,576,589,593,598,603,606,607,609,614,618,632,639,647,649,650,663,691,693,696,709,719,720,722,724,728,729,733,738,741,742,750,760,761,763,766,787,797,817,824,828,831,832,833,839,841,843,848,852,856,868,871,876,889,894,896,900,903,907,911,917,921,924,932,937,939,941,942,944,948,951,962,963,966,980,994,1011,1013],{"0":20,"1":44,"2":46,"3":85,"4":87,"5":88,"6":91,"7":93,"8":94,"9":96,"10":98,"11":103,"12":108,"13":109,"14":110,"15":112,"16":116,"17":123,"18":124,"19":128,"20":134,"21":137,"22":139,"23":140,"24":141,"25":142,"26":144,"27":150,"28":154,"29":158,"30":161,"31":162,"32":164,"33":166,"34":167,"35":171,"36":172,"37":174,"38":175,"39":180,"40":182,"41":185,"42":186,"43":187,"44":189,"45":190,"46":191,"47":192,"48":197,"49":198,"50":199,"51":200,"52":202,"53":206,"54":207,"55":209,"56":211,"57":212,"58":214,"59":221,"60":222,"61":225,"62":227,"63":228,"64":232,"65":235,"66":236,"67":237,"68":238,"69":244,"70":246,"71":261,"72":275,"73":286,"74":309,"75":319,"76":326,"77":333,"78":338,"79":343,"80":344,"81":350,"82":353,"83":356,"84":367,"85":368,"86":370,"87":376,"88":388,"89":389,"90":394,"91":396,"92":397,"93":401,"94":404,"95":405,"96":406,"97":409,"98":417,"99":419,"100":420,"101":427,"102":428,"103":430,"104":431,"105":433,"106":435,"107":439,"108":440,"110":443,"111":447,"112":448,"113":450,"114":452,"115":454,"116":455,"117":461,"118":463,"119":464,"120":468,"121":470,"123":473,"124":474,"125":476,"126":477,"127":478,"128":481,"129":482,"130":484,"131":485,"132":487,"133":488,"134":494,"135":496,"136":497,"137":498,"138":509,"139":518,"140":524,"141":536,"142":540,"143":547,"144":572,"145":573,"146":577,"147":588,"148":590,"149":591,"150":594,"151":611,"152":623,"153":626,"154":628,"155":631,"156":633,"157":636,"158":637,"159":645,"160":652,"161":659,"162":660,"163":661,"164":666,"165":678,"166":687,"167":695,"168":699,"169":702,"170":703,"171":705,"172":707,"173":716,"174":717,"175":718,"176":721,"177":734,"178":745,"179":747,"180":781,"181":784,"182":808,"183":809,"184":825,"185":834,"186":838,"187":840,"188":845,"189":869,"190":873,"191":874,"192":883,"193":885,"194":890,"195":898,"196":899,"197":913,"198":915,"199":919,"200":922,"201":929,"202":931,"203":973,"204":974,"205":976,"206":986,"207":989,"208":998,"209":1007,"210":1009,"211":1012,"212":1014,"213":1016,"214":1017,"215":1021},[106,111,114,126,136,138,145,148,151,165,176,177,178,183,184,188,195,196,201,204,205,208,210,215,217,218,219,220,230,231,233,234,239,240,243,247,248,249,252,253,254,331,358,359,363,379,380,382,383,393,395,402,410,411,413,416,437,438,441,444,445,446,456,457,459,460,462,466,469,475,483,486,489,490,491,492,493,495,501,506,507,510,531,533,535,551,560,565,566,568,574,575,602,605,627,635,664,672,673,679,681,686,698,708,737,768,770,772,782,789,796,799,807,819,826,829,847,853,861,862,880,884,902,906,935,938,947,950,954,956,957,959,965,970,996],[104,119,146,152,168,169,179,193,203,213,245,255,360,385,414,415,432,434,436,449,451,453,467,479,480,502,503,505,511,512,525,528,549,556,559,580,585,586,592,610,621,622,624,625,641,646,648,669,671,676,683,688,711,712,746,773,774,776,779,795,806,810,818,827,837,867,870,875,877,886,887,891,897,908,914,923,946,987,1001,1004,1006,1010,1018],[82,160,194,216,223,224,241,242,250,251,341,403,458,465,472,499,504,508,513,537,545,555,582,583,587,595,596,617,634,638,640,656,658,667,694,715,727,731,739,765,792,794,800,814,815,909,916,918,930,953,995],[181,226,229,500,601,629,643,677,684,697,714,725,753,785,786,811,846,849,858,859,872,910,934,945,949,969,977,982,990,992,997],[519,529,620,642,674,704,706,726,736,756,783,790,821,844,854,865,888,895,901,926,927],[526,619,685,701,713,743,752,769,771,882,892,905,971,985],[600,630,680,732,754,757,798,822,955,972,979,983,1002,1015],[599,644,740,767,805,855,933,958,1003,1008],[604,657,670,735,777,803,912,975,993,1022],[515,613,615,665,778,791,793,850,999,1023],[552,553,584,597,612,690,802],[542,562,744,813,851,961,967],[516,775,801,804,816,842,864,925,981,1019],[710,835,836,860,964]]