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Good afternoon! Here's our prompt for today.

Question/Prompt

A palindrome is a word, phrase, or sequence that reads the same backward or forwards. A palindromic subsequence is a palindrome derived from a sequence by deleting some or no elements from it. This subsequence is formed without changing the order of the elements in the original sequence.

Given a string s, can you find the length of the longest palindromic subsequence of s?

Question

For example, if s = "bbbab", then the longest palindromic subsequence is bbbb. The length of this subsequence is 4, which is the required answer.

Constraints

  • 1 <= s.length <= 1000
  • s consists only of lowercase English letters.

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