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Abhishek Chaudhary

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# Kth Largest Element in a Stream

Design a class to find the `kth` largest element in a stream. Note that it is the `kth` largest element in the sorted order, not the `kth` distinct element.

Implement `KthLargest` class:

• `KthLargest(int k, int[] nums)` Initializes the object with the integer `k` and the stream of integers `nums`.
• `int add(int val)` Appends the integer `val` to the stream and returns the element representing the `kth` largest element in the stream.

Example 1:

Input
[[3, [4, 5, 8, 2]], [3], [5], [10], [9], [4]]
Output
[null, 4, 5, 5, 8, 8]

Explanation
KthLargest kthLargest = new KthLargest(3, [4, 5, 8, 2]);

Constraints:

• `1 <= k <= 104`
• `0 <= nums.length <= 104`
• `-104 <= nums[i] <= 104`
• `-104 <= val <= 104`
• At most `104` calls will be made to `add`.
• It is guaranteed that there will be at least `k` elements in the array when you search for the `kth` element.

SOLUTION:

``````import heapq

class KthLargest:

def __init__(self, k: int, nums: List[int]):
self.k = k
self.heap = nums
heapq.heapify(self.heap)
while len(self.heap) > k:
heapq.heappop(self.heap)

def add(self, val: int) -> int:
heapq.heappush(self.heap, val)
if len(self.heap) > self.k:
heapq.heappop(self.heap)
return self.heap[0]

# Your KthLargest object will be instantiated and called as such:
# obj = KthLargest(k, nums)