Valid Parentheses

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:

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

Examples