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678\. Valid Parenthesis String
Medium
Given a string `s` containing only three types of characters: `'('`, `')'` and `'*'`, return `true` _if_ `s` _is **valid**_.
The following rules define a **valid** string:
* Any left parenthesis `'('` must have a corresponding right parenthesis `')'`.
* Any right parenthesis `')'` must have a corresponding left parenthesis `'('`.
* Left parenthesis `'('` must go before the corresponding right parenthesis `')'`.
* `'*'` could be treated as a single right parenthesis `')'` or a single left parenthesis `'('` or an empty string `""`.
**Example 1:**
**Input:** s = "()"
**Output:** true
**Example 2:**
**Input:** s = "(\*)"
**Output:** true
**Example 3:**
**Input:** s = "(\*))"
**Output:** true
**Constraints:**
* `1 <= s.length <= 100`
* `s[i]` is `'('`, `')'` or `'*'`.
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