BackhardRecursion

Minimizing Edits for Palindromic Decomposition Solution

Problem Statement

Determine the minimum number of edit operations required to decompose a given string into palindromic substrings, where an edit operation involves either inserting, deleting, or replacing a character to form a palindrome.

Example 1
Input
abracadabra
Output
3

Explanation: The string 'abracadabra' can be decomposed into palindromic substrings as follows: 'aba' (palindrome), 'rac' (requires 1 edit to form 'aca'), and 'adabra' (requires 2 edits to form 'ada'). Hence, the minimum edit operations required is 3.

Example 2
Input
abcdefgh
Output
7

Explanation: To decompose 'abcdefgh' into palindromic substrings with minimum edits, we consider each character as a separate substring, requiring insertion or deletion to form palindromes, totaling 7 edit operations.

Constraints

  • 1 <= length of string <= 1000
  • String consists of lowercase English letters only
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