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Minimum Insertion Steps to Make a String Palindrome

Given a string s.

Given a string s. In one step you can insert any character at any index of the string.

Return the minimum number of steps to make s palindrome.

A Palindrome String is one that reads the same backward as well as forward.

Minimum Insertion Steps to Make a String Palindrome diagram

Example 1

Input: s = "zzazz"

Output: 0

Explanation: The string "zzazz" is already palindrome we do not need any insertions.

Example 2

Input: s = "mbadm"

Output: 2

Explanation: String can be "mbdadbm" or "mdbabdm".

Example 3

Input: s = "leetcode"

Output: 5

Explanation: Inserting 5 characters the string becomes "leetcodocteel".

Constraints

  • 1 <= s.length <= 500
  • s consists of lowercase English letters.

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