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Given a sequence S = (x 0 ,x 1 ,…,x n−1 ) of numbers, describe an O(n2)-time algorithm for…

Given a sequence S = (x 0 ,x 1 ,…,x n−1 ) of numbers, describe an O(n2)-time algorithm for…

Given a sequence S = (x0,x1,…,xn−1) of numbers, describe an O(n2)-time algorithm for finding a longest subsequence T = (xi0 ,xi1 ,…,xik−1 ) of numbers, such that ij j+1 and xij > xij+1 . That is, T is a longest decreasing subsequence of S.