<h2><a href="https://leetcode.com/problems/kth-largest-element-in-a-stream/">703. Kth Largest Element in a Stream</a></h2><h3>Easy</h3><hr><div><p>Design a class to find the <code>k^th</code> largest element in a stream. Note that it is the <code>k^th</code> largest element in the sorted order, not the <code>k^th</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^th</code> largest element in the stream.</li>

</ul>

<p>&nbsp;</p>

<p><strong>Example 1:</strong></p>

<pre><strong>Input</strong>

["KthLargest", "add", "add", "add", "add", "add"]

[[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;= 10⁴</code></li>

<li><code>0 &lt;= nums.length &lt;= 10⁴</code></li>

<li><code>-10⁴ &lt;= nums[i] &lt;= 10⁴</code></li>

<li><code>-10⁴ &lt;= val &lt;= 10⁴</code></li>

<li>At most <code>10⁴</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^th</code> element.</li>

</ul>

</div>