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<p>Given a string <code>s</code>, partition <code>s</code> such that every substring of the partition is a palindrome.</p>
<p>Return <em>the minimum cuts needed</em> for a palindrome partitioning of <code>s</code>.</p>
<p>&nbsp;</p>
<p><strong>Example 1:</strong></p>
<pre>
<strong>Input:</strong> s = &quot;aab&quot;
<strong>Output:</strong> 1
<strong>Explanation:</strong> The palindrome partitioning [&quot;aa&quot;,&quot;b&quot;] could be produced using 1 cut.
</pre>
<p><strong>Example 2:</strong></p>
<pre>
<strong>Input:</strong> s = &quot;a&quot;
<strong>Output:</strong> 0
</pre>
<p><strong>Example 3:</strong></p>
<pre>
<strong>Input:</strong> s = &quot;ab&quot;
<strong>Output:</strong> 1
</pre>
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>1 &lt;= s.length &lt;= 2000</code></li>
<li><code>s</code> consists of lowercase English letters only.</li>
</ul>