[[0,1,2,3,4,5,8,9,11,12,13,14,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,60,61,62,63,64,66,67,70,71,73,74,75,77,79,80,82,83,85,86,256,257,258,259,260,262,264,266,267,269,270,271,272,276,277,279,280,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,299,300,304,308,309,310,311,313,315,316,317,318,320,321,322,325,326,330,332,333,334,335,336,338,339,340,343,512,517,528,532,543,545,547,555,580,594,595,596,599,603,606,614,618,619,620,622,635,637,647,653,659,682,684,692,696,699,700,706,708,727,728,738,744,753,765,768,784,785,787,794,800,803,804,805,814,815,819,820,826,837,839,846,847,848,851,854,870,874,875,885,886,899,902,911,912,916,922,926,930,939,940,948,956,972,994,1010,1020,1023],[19,23,56,59,65,68,69,81,88,90,95,98,100,101,103,104,106,108,110,111,113,114,117,119,120,123,125,127,129,130,131,132,133,134,135,138,139,141,143,146,151,152,153,157,160,161,163,164,165,166,167,168,261,263,265,268,275,278,298,302,303,305,306,307,312,314,323,324,328,331,341,346,347,349,350,351,352,353,354,358,359,360,362,365,366,369,370,372,373,374,375,378,379,380,384,385,386,387,389,394,397,401,407,409,410,411,412,413,415,417,418,422,424,518,527,535,544,558,561,571,575,583,584,600,610,613,615,623,624,626,633,634,638,652,662,697,709,713,719,726,730,731,740,766,771,781,786,807,811,813,817,827,830,836,838,841,850,853,856,859,864,866,880,881,883,887,917,919,932,941,947,957,960,964,967,990,995,996,999,1004,1017],{"0":6,"1":7,"2":10,"3":15,"4":16,"5":72,"6":78,"7":84,"8":87,"9":91,"10":92,"11":96,"12":97,"13":102,"14":105,"15":107,"16":109,"17":112,"18":116,"19":118,"20":121,"21":122,"22":126,"23":128,"24":136,"25":142,"26":144,"27":145,"28":148,"29":150,"30":154,"31":155,"32":156,"33":158,"34":159,"35":162,"36":172,"37":174,"38":178,"39":179,"40":180,"41":183,"42":184,"43":187,"44":188,"45":189,"46":191,"47":192,"48":195,"49":198,"50":200,"51":202,"52":203,"53":204,"54":208,"55":209,"57":216,"58":218,"59":222,"60":226,"61":227,"62":229,"63":233,"64":235,"65":236,"66":238,"67":239,"68":243,"69":245,"70":273,"71":274,"72":281,"73":301,"74":319,"75":327,"76":329,"77":337,"78":342,"79":344,"80":355,"81":356,"82":363,"83":368,"84":376,"85":381,"86":382,"87":383,"88":390,"89":391,"90":392,"91":398,"92":400,"93":403,"94":405,"95":406,"96":408,"97":416,"98":419,"99":420,"100":421,"101":423,"102":427,"103":428,"104":429,"105":430,"106":431,"107":435,"109":440,"110":443,"111":446,"112":447,"113":459,"114":461,"115":464,"116":466,"117":467,"118":471,"119":472,"120":474,"121":475,"122":476,"123":479,"124":481,"125":485,"126":487,"127":488,"128":489,"129":491,"130":493,"131":494,"132":496,"133":497,"134":513,"135":523,"136":524,"137":548,"138":553,"139":563,"140":567,"141":572,"142":573,"143":627,"144":648,"145":654,"146":656,"147":673,"148":675,"149":680,"150":686,"151":693,"152":695,"153":707,"154":729,"155":748,"156":770,"157":793,"158":802,"159":812,"160":842,"161":852,"162":860,"163":882,"164":892,"165":897,"166":908,"167":910,"168":915,"169":923,"170":942,"171":944,"172":953,"173":961,"174":975,"175":976,"176":977,"177":979,"178":980,"179":987,"180":989,"181":1006,"182":1014,"183":1022},[76,89,93,94,99,115,124,137,140,147,149,173,175,181,182,186,190,193,196,197,199,201,205,206,210,212,213,217,219,221,224,230,231,232,234,237,242,253,254,345,348,357,361,364,367,371,377,388,393,395,396,399,404,414,425,426,432,434,436,438,441,444,448,449,450,451,452,453,455,456,458,460,462,463,465,469,473,477,483,484,486,490,495,499,500,501,504,508,509,520,529,534,541,546,550,551,570,646,649,651,667,668,671,672,676,678,679,690,711,716,737,749,750,757,758,774,823,832,835,849,861,868,872,879,884,888,889,891,901,904,914,925,936,938,1009],[169,170,171,176,185,194,207,211,214,220,223,225,241,244,246,247,248,249,251,255,402,442,445,454,457,468,478,480,492,498,502,503,505,510,511,516,526,542,554,559,560,577,582,598,609,611,612,616,628,632,641,644,657,661,663,683,691,712,720,722,724,756,769,776,779,782,789,799,808,809,824,828,857,865,871,876,877,890,895,900,918,928,931,935,937,943,945,949,950,954,962,963,968,969,985,991,998,1011,1015,1016,1019],[228,240,250,433,439,470,482,507,521,533,549,556,565,574,585,590,593,597,605,643,645,658,669,674,694,704,721,723,734,742,743,752,760,763,777,788,791,792,796,818,825,831,869,921,924,929,933,934,946,971,974,984,1000,1003,1005,1008,1012,1021],[177,252,530,536,537,591,607,608,617,621,636,655,665,681,685,698,715,732,735,736,755,773,783,790,798,801,806,822,829,845,858,893,898,905,951,958,965,973,978,992,997,1002,1007],[506,514,519,525,531,538,562,576,578,579,586,601,670,703,705,745,746,747,754,772,862,863,867,896,906,907,920,959,986,1013],[557,568,587,592,629,642,660,664,687,717,718,761,762,764,778,780,844,873,909,913,952,966,993,1018],[539,540,552,564,569,604,625,702,741,767,797,810,816,833,843,983,988],[522,602,631,639,725,733,739,795,834,840,927,955,981,982],[515,566,650,688,710,775,821,878,894,1001],[589,630,689,701,714,751,759,855,970],[588,666,677,903],[581,640]]