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.

Example 1:

Input: ()[]{}
Output: true

Example 2:

Input: (]
Output: false

Example 3:

Input: ([)]
Output: false

Constraints:

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

Input format: A single line containing the bracket string.

Output format: true or false.