<p>A magic index in an array <code>A[0...n-1]</code> is defined to be an index such that <code>A[i] = i</code>. Given a sorted array of&nbsp;integers, write a method to find a magic index, if one exists, in array A. If not, return -1. If there are more than one magic index, return the smallest one.</p>



<p><strong>Example1:</strong></p>



<pre>

<strong> Input</strong>: nums = [0, 2, 3, 4, 5]

<strong> Output</strong>: 0

</pre>



<p><strong>Example2:</strong></p>



<pre>

<strong> Input</strong>: nums = [1, 1, 1]

<strong> Output</strong>: 1

</pre>



<p><strong>Note:</strong></p>



<ol>

	<li><code>1 &lt;= nums.length &lt;= 1000000</code></li>

	<li>This problem is the&nbsp;follow-up of the original problem in the book, i.e.&nbsp;the values are&nbsp;not distinct.</li>

</ol>