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Solution: Palindromic Substrings

Explore how to count the number of palindromic substrings in a string using dynamic programming. Understand the step-by-step approach of building a lookup table to avoid redundant checks, improve efficiency from a naive cubic solution to a quadratic time algorithm, and grasp how to apply base cases for substrings of length one and two. This lesson equips you with an optimized method to solve palindromic substring problems in C++ with clear insight into time and space trade-offs.

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 ...