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