You are part of a university admissions office and need to keep track of the kth highest test score from applicants in real-time. This helps to determine cut-off marks for interviews and admissions dynamically as new applicants submit their scores.
You are tasked to implement a class which, for a given integer k, maintains a stream of test scores and continuously returns the kth highest test score after a new score has been submitted. More specifically, we are looking for the kth highest score in the sorted list of all scores.
Implement the KthLargest class:
KthLargest(int k, int[] nums) Initializes the object with the integer k and the stream of test scores nums.int add(int val) Adds a new test score val to the stream and returns the element representing the kth largest element in the pool of test scores so far.
Example 1:
Input:
["KthLargest", "add", "add", "add", "add", "add"]
[[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]);
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:
Input:
["KthLargest", "add", "add", "add", "add"]
[[4, [7, 7, 7, 7, 8, 3]], [2], [10], [9], [9]]
Output: [null, 7, 7, 7, 8]
Explanation:
KthLargest kthLargest = new KthLargest(4, [7, 7, 7, 7, 8, 3]);
Constraints:
0 <= nums.length <= 1041 <= k <= nums.length + 1-104 <= nums[i] <= 104-104 <= val <= 104104 calls will be made to add.["KthLargest","add","add","add","add","add"] [[3,[4,5,8,2]],[3],[5],[10],[9],[4]] ["KthLargest","add","add","add","add"] [[4,[7,7,7,7,8,3]],[2],[10],[9],[9]]