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Solution: Palindromic Substrings

Explore how to solve the problem of counting palindromic substrings within a string using dynamic programming. Learn to build and utilize a lookup table to avoid redundant checks and improve efficiency. Understand the transition from a naive cubic time approach to an optimized quadratic time and space complexity solution, gaining skills to tackle similar substring problems effectively.

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 ...