<p>A permutation <code>perm</code> of <code>n + 1</code> integers of all the integers in the range <code>[0, n]</code> can be represented as a string <code>s</code> of length <code>n</code> where:</p>
<ul>
<li><code>s[i] == 'I'</code> if <code>perm[i] < perm[i + 1]</code>, and</li>
<li><code>s[i] == 'D'</code> if <code>perm[i] > perm[i + 1]</code>.</li>
</ul>
<p>Given a string <code>s</code>, reconstruct the permutation <code>perm</code> and return it. If there are multiple valid permutations perm, return <strong>any of them</strong>.</p>