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Solution: Longest Valid Parentheses

Explore how to solve the longest valid parentheses substring problem by applying the stack pattern. Understand how to track matching pairs through indexes, enabling efficient computation in linear time using constant space operations.

Statement

You are given a string composed entirely of ‘(’ and ‘)’ characters. Your goal is to identify the longest contiguous segment (substring) within this string that represents a “well-formed” or “valid” sequence of parentheses.

A substring is considered valid if:

  1. Every opening parenthesis ‘(’ has a corresponding closing parenthesis ‘)’.

  2. The pairs of parentheses are correctly nested.

Return the length of this longest valid substring.

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