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Solution: Palindromic Substrings

Explore how to count the number of palindromic substrings in a string using dynamic programming. Understand the optimization from naive methods to a lookup table approach that avoids redundant checks. Learn to implement this efficient solution and analyze its time and space complexity, preparing you for algorithmic challenges in coding interviews.

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 ...