Question: i. Describe and analyze an algorithm to nd the longest subsequence of a given string that is also a palindrome. For example, the longest palindrome

i. Describe and analyze an algorithm to nd the longest subsequence of a given string that is also a palindrome. For example, the longest palindrome subsequence of MAHDYNAMICPROGRAMZLETMESHOWYOUTHEM is MHYMRORMYHM.

ii. What subproblems will your algorithm solve?

iii. Give a recursive formula for a given subproblem in terms of smaller subproblems.

iv. Explain the correctness of your algorithm.

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