A longest increasing subsequence is an increasing subsequence of maximum length. Changing or deleting one term changes its length by at most one.
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The Longest Increasing Subsequence (LIS) is a well-known problem in computer science and mathematics that involves finding the longest subsequence of a given sequence of numbers where the elements of the subsequence are in strictly increasing order. A subsequence is a sequence derived from another sequence by deleting some elements without changing the order of the remaining elements.