<p>Given a string <fontface="monospace">s</font> of <code>'('</code> , <code>')'</code> and lowercase English characters.</p>
<p>Your task is to remove the minimum number of parentheses ( <code>'('</code> or <code>')'</code>, in any positions ) so that the resulting <em>parentheses string</em> is valid and return <strong>any</strong> valid string.</p>
<p>Formally, a <em>parentheses string</em> is valid if and only if:</p>
<ul>
<li>It is the empty string, contains only lowercase characters, or</li>
<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>
<li>It can be written as <code>(A)</code>, where <code>A</code> is a valid string.</li>