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Solution: Palindromic Substrings

Understand how to count all palindromic substrings within a string using dynamic programming. This lesson guides you through the naive approach, its inefficiencies, and an optimized method leveraging a lookup table. Learn to implement and analyze a solution that reduces time complexity from cubic to quadratic while carefully managing space usage.

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 ...