367. Maximum Number of Non-overlapping Palindrome Substrings

HardDynamic Programming

You are given a string s and a positive integer k. Select a set of non-overlapping substrings from the string s that satisfy the following conditions: - The length of each substring is at least k. - Each substring is a palindrome. Return the maximum number of substrings in an optimal selection. A substring is a contiguous sequence of characters within a string.

Examples

Input: abaccdbbd 3

Output: 2

Explanation: Pick "aba" (indices 0-2) and "dbbd" (indices 5-8): both are palindromes of length >= 3 and do not overlap, so the answer is 2.

Constraints

  • 1 <= k <= s.length <= 2000
  • s consists of lowercase English letters.
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