testcase

[3,3,2]
[1,2,3,2,1,2]
[5,1,4,3,2]
[2,1,2,4,5,2,1]
[10,63,95,16,85,57,83,95,6,29,71]
[70,31,83,15,32,67,98,65,56,48,38,90,5]
[338,890,301,532,284,930,426,616,919,267,571,140,716,859,980,469,628,490,195,664,925,652,503,301,917,563,82,947,910,451,366,190,253,516,503,721,889,964,506,914,986,718,520,328,341,765,922,139,911,578,86,435,824,321,942,215,147,985,619,865]
[773,537,46,317,233,34,712,625,336,221,145,227,194,693,981,861,317,308,400,2,391,12,626,265,710,792,620,416,267,611,875,361,494,128,133,157,638,632,2,158,428,284,847,431,94,782,888,44,117,489,222,932,494,948,405,44,185,587,738,164,356,783,276,547,605,609,930,847,39,579,768,59,976,790,612,196,865,149,975,28,653,417,539,131,220,325,252,160,761,226,629,317,185,42,713,142,130,695,944,40,700,122,992,33,30,136,773,124,203,384,910,214,536,767,859,478,96,172,398,146,713,80,235,176,876,983,363,646,166,928,232,699,504,612,918,406,42,931,647,795,139,933,746,51,63,359,303,752,799,836,50,854,161,87,346,507,468,651,32,717,279,139,851,178,934,233,876,797,701,505,878,731,468,884,87,921,782,788,803,994,67,905,309,2,85,200,368,672,995,128,734,157,157,814,327,31,556,394,47,53,755,721,159,843]