Question: (20pts) In this question, we study the Largest Palindrome Subsequence problem discussed in EX28 again. The exercise developed a dynamic programming algorithm that runs in

(20pts) In this question, we study the Largest Palindrome Subsequence problem

(20pts) In this question, we study the Largest Palindrome Subsequence problem discussed in EX28 again. The exercise developed a dynamic programming algorithm that runs in 0(n*) time. Improve the running time into O (n2). Describe all of: 1. o your basic method explained in 3-10 lines in English, o complete pseudo code, o proof of the algorithm correctness, and o proof of the running time (n2) Make your answers succinct but include everything necessary to reason the above. Hint: The function isPalindrome is called every time the main algorithm checks if sli to j] is a palindrome. This part refers to no previous computation being inefficient. Can you modify isPalindrome to act as a DP algorithm itself

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