<p>In an array of integers, a &quot;peak&quot; is an element which is greater than or equal to the adjacent integers and a &quot;valley&quot; is an element which is less than or equal to the adjacent inte&shy;gers. For example, in the array {5, 8, 4, 2, 3, 4, 6}, {8, 6} are peaks and {5, 2} are valleys. Given an array of integers, sort the array into an alternating sequence of peaks and valleys.</p>



<p><strong>Example:</strong></p>



<pre>

<strong>Input: </strong>[5, 3, 1, 2, 3]

<strong>Output:</strong>&nbsp;[5, 1, 3, 2, 3]

</pre>



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



<ul>

	<li><code>nums.length &lt;= 10000</code></li>

</ul>