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Solution: Palindromic Substrings

Explore how to efficiently count palindromic substrings within a string using dynamic programming. This lesson guides you through creating a lookup table to avoid redundant checks, optimizing the solution from a naive O(n³) approach to O(n²) time complexity. Understand how to apply memoization for substrings of varying lengths and gain proficiency in dynamic programming techniques for string problems.

Statement

Given a string, s, return the number of palindromic substrings contained in it. A substring is a contiguous sequence of characters in a string. A palindrome is a phrase, word, or sequence that reads the same forward and backward.

Constraints:

  • 11 \leq s.length 1000 ...