4. [Longest Increasing Subsequence.] In this exercise we'll practice designing and analyzing dynamic programming algorithms. Let \( A \) be an array of length \( n \) con taining real numbers. A longest increasing subsequence (LIS) of \( A \) is a sequence \( 0 \leq i_{0}

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4. [Longest Increasing Subsequence.] In this exercise well practice designing and analyzing dynamic programming algorithms.

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