<p>Design a class to find the <code>k<sup>th</sup></code> largest element in a stream. Note that it is the <code>k<sup>th</sup></code> largest element in the sorted order, not the <code>k<sup>th</sup></code> distinct element.</p>

<p>Implement <code>KthLargest</code> class:</p>

<ul>
	<li><code>KthLargest(int k, int[] nums)</code> Initializes the object with the integer <code>k</code> and the stream of integers <code>nums</code>.</li>
	<li><code>int add(int val)</code> Appends the integer <code>val</code> to the stream and returns the element representing the <code>k<sup>th</sup></code> largest element in the stream.</li>
</ul>

<p>&nbsp;</p>
<p><strong>Example 1:</strong></p>

<pre>
<strong>Input</strong>
[&quot;KthLargest&quot;, &quot;add&quot;, &quot;add&quot;, &quot;add&quot;, &quot;add&quot;, &quot;add&quot;]
[[3, [4, 5, 8, 2]], [3], [5], [10], [9], [4]]
<strong>Output</strong>
[null, 4, 5, 5, 8, 8]

<strong>Explanation</strong>
KthLargest kthLargest = new KthLargest(3, [4, 5, 8, 2]);
kthLargest.add(3);   // return 4
kthLargest.add(5);   // return 5
kthLargest.add(10);  // return 5
kthLargest.add(9);   // return 8
kthLargest.add(4);   // return 8
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>1 &lt;= k &lt;= 10<sup>4</sup></code></li>
	<li><code>0 &lt;= nums.length &lt;= 10<sup>4</sup></code></li>
	<li><code>-10<sup>4</sup> &lt;= nums[i] &lt;= 10<sup>4</sup></code></li>
	<li><code>-10<sup>4</sup> &lt;= val &lt;= 10<sup>4</sup></code></li>
	<li>At most <code>10<sup>4</sup></code> calls will be made to <code>add</code>.</li>
	<li>It is guaranteed that there will be at least <code>k</code> elements in the array when you search for the <code>k<sup>th</sup></code> element.</li>
</ul>