Description

Given a string s containing just the characters '(', ')', '{', '}', '[' and ']', determine if the input string is valid. An input string is valid if: Open brackets must be closed by the same type of brackets. Open brackets must be closed in the correct order. Every close bracket has a corresponding open bracket of the same type.

Examples

Input:s = "()"
Output:true
Explanation:

The string contains valid parentheses.

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

All brackets are properly matched.

Input:s = "(]"
Output:false
Explanation:

Mismatched bracket types.

Input:s = "([)]"
Output:false
Explanation:

Brackets must be closed in correct order. The ')' closes before ']'.

Constraints

  • 1 ≤ s.length ≤ 10⁴
  • s consists of parentheses only '()[]{}'.

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