Longest Palindromic Subsequence

Given a string s, find the length of the longest palindromic subsequence in s.

A subsequence is a sequence that can be derived from another sequence by deleting some or no elements without changing the order of the remaining elements.

Example 1
Inputs = "bbbab"
Output4
One possible longest palindromic subsequence is "bbbb".
Example 2
Inputs = "cbbd"
Output2
One possible longest palindromic subsequence is "bb".

Constraints

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

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