Valid Parentheses

Try to solve the Valid Parentheses problem.

Statement

Given a string that may consist of opening and closing parentheses, your task is to check whether or not the string contains valid parenthesization.

The conditions to validate are as follows:

  1. Every opening parenthesis should be closed by the same kind of parenthesis. Therefore, {)and [(]) strings are invalid.

  2. Every opening parenthesis must be closed in the correct order. Therefore, )( and ()(() are invalid.

Constraints:

  • 1≤1 \leq string.length ≤103\leq 10^3
  • The string will only contain the following characters: (, ), [, ], { and }.

Examples

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