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<p>A parentheses string is valid if and only if:</p>
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<ul>
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	<li>It is the empty string,</li>
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	<li>It can be written as <code>AB</code> (<code>A</code> concatenated with <code>B</code>), where <code>A</code> and <code>B</code> are valid strings, or</li>
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	<li>It can be written as <code>(A)</code>, where <code>A</code> is a valid string.</li>
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</ul>
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<p>You are given a parentheses string <code>s</code>. In one move, you can insert a parenthesis at any position of the string.</p>
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<ul>
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	<li>For example, if <code>s = "()))"</code>, you can insert an opening parenthesis to be <code>"(<strong>(</strong>)))"</code> or a closing parenthesis to be <code>"())<strong>)</strong>)"</code>.</li>
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</ul>
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<p>Return <em>the minimum number of moves required to make </em><code>s</code><em> valid</em>.</p>
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<p> </p>
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<p><strong>Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> s = "())"
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<strong>Output:</strong> 1
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</pre>
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<p><strong>Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> s = "((("
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<strong>Output:</strong> 3
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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	<li><code>1 <= s.length <= 1000</code></li>
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	<li><code>s[i]</code> is either <code>'('</code> or <code>')'</code>.</li>
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</ul>
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