Home >Backend Development >PHP Tutorial >. Kth Largest Element in a Stream
703. Kth Largest Element in a Stream
Difficulty: Easy
Topics: Tree, Design, Binary Search Tree, Heap (Priority Queue), Binary Tree, Data 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:
Example 1:
["KthLargest", "add", "add", "add", "add", "add"] [[3, [4, 5, 8, 2]], [3], [5], [10], [9], [4]]
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
Example 2:
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Constraints:
Solution:
We can use a min-heap data structure. Here’s a step-by-step guide to implementing the KthLargest class using PHP:
Min-Heap Data Structure: We will maintain a min-heap (priority queue) of size k. The root of this heap will always give us the k-th largest element.
Initialization: During initialization, we will add the first k elements of the stream to the min-heap. For any additional elements, we will compare each new element with the smallest element in the heap (the root). If the new element is larger, we replace the smallest element with this new element and adjust the heap to maintain the k size.
Adding Elements: Each time an element is added to the stream, we use the same process of comparing and possibly replacing elements in the heap.
Here’s the PHP code to implement the KthLargest class: 703. Kth Largest Element in a Stream
Class Constructor:
add Method:
This approach ensures that we efficiently keep track of the k-th largest element with each insertion into the stream, maintaining an O(log k) complexity for insertion operations due to heap operations.
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