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Problem 1: Structural Integrity

Problem Statement

Given a string s containing just the characters '(', ')', '{', '}', '[' and ']', determine if the input string is valid. An input string is valid if:

  1. Open brackets must be closed by the same type of brackets.
  2. Open brackets must be closed in the correct order.
  3. Every close bracket has a corresponding open bracket of the same type.

Input Format

  • A string s.

Output Format

  • Boolean value.

Constraints

  • 1 <= s.length <= 10^4
  • s consists of parentheses characters only.

Example

Input: s = "()[]{}"
Output: True