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Longest Palindromic Subsequence

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

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

Longest Palindromic Subsequence diagram

Example 1

Input: s = "bbbab"

Output: 4

Explanation: One possible longest palindromic subsequence is "bbbb".

Example 2

Input: s = "cbbd"

Output: 2

Explanation: One possible longest palindromic subsequence is "bb".

Constraints

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

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