What is the optimal time complexity of solving Kth Largest Element In Stream?

The optimized solution achieves a time complexity of O(n) by using sorting, mathematical shortcuts, or hash table lookups.

What is the auxiliary space complexity for Kth Largest Element In Stream?

The space complexity is O(1) since we only use a minimal/constant amount of extra memory for tracking variables (or auxiliary space if dynamic structures are allocated).

What are the typical edge cases we must handle in Kth Largest Element In Stream?

Key edge cases include empty collections, negative or large bounds causing integer overflow, arrays with only one element, or inputs where target criteria are not met.

How can we optimize the brute force approach for Kth Largest Element In Stream?

Brute force methods often inspect all possible combinations. We optimize this by sorting the input list to enable binary search, or tracking processed items in a set to avoid redundant nested loop lookups.

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Kth Largest Element In Stream

Learn how to solve the 'Kth Largest Element In Stream' problem. This detailed resource details brute force and optimized approaches.

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Problem Statement

Easy

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 the KthLargest class:

- KthLargest(k: int, nums: List[int]) Initializes the object with the integer k and the stream of integers nums.

- add(val: int) -> int Appends the integer val to the stream and returns the element representing the kth largest element.

Input is a list of operations and arguments. Implement a function kthLargest(operations: list, arguments: list) -> list that returns a list of results (None for constructor, int for add).

Constraints

•1 <= k <= 10^4
•0 <= len(nums) <= 10^4
•-10^4 <= nums[i], val <= 10^4
•At most 10^4 calls will be made to add

Examples

Example 1

Input

operations = ["KthLargest", "add", "add", "add", "add", "add"], arguments = [[3, [4, 5, 8, 2]], [3], [5], [10], [9], [4]]

Output

[None, 4, 5, 5, 8, 8]

Explanation

KthLargest class is initialized with k=3 and nums=[4,5,8,2]. add(3) returns 4. add(5) returns 5. add(10) returns 5. add(9) returns 8. add(4) returns 8.

Need a Hint?

Analyze the input constraints. Try sorting first (O(n log n)) or using a hash map/set to track seen elements in O(n) time.

Edge Cases to Watch

Empty list or null input variables
Single item lists/arrays
Extremely large input bounds causing integer or stack overflow

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