703.KthLargestElementinaStream.py

"""
    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.

    Your KthLargest class will have a constructor which accepts an integer k 
    and an integer array nums, which contains initial elements from the stream. 
    For each call to the method KthLargest.add, return the element representing 
    the kth largest element in the stream.

    Example:
    int k = 3;
    int[] arr = [4,5,8,2];
    KthLargest kthLargest = new KthLargest(3, arr);
    kthLargest.add(3);   // returns 4
    kthLargest.add(5);   // returns 5
    kthLargest.add(10);  // returns 5
    kthLargest.add(9);   // returns 8
    kthLargest.add(4);   // returns 8

    Note:
    You may assume that nums' length ≥ k-1 and k ≥ 1.
"""
#Difficulty: Easy
#10 / 10 test cases passed.
#Runtime: 968 ms
#Memory Usage: 18 MB

#Runtime: 968 ms, faster than 20.55% of Python3 online submissions for Kth Largest Element in a Stream.
#Memory Usage: 18 MB, less than 16.11% of Python3 online submissions for Kth Largest Element in a

class KthLargest:

    def __init__(self, k: int, nums: List[int]):
        self.nums = nums
        self.k = k

    def add(self, val: int) -> int:
        self.nums.append(val)
        self.nums.sort()
        return self.nums[-self.k]


# Your KthLargest object will be instantiated and called as such:
# obj = KthLargest(k, nums)
# param_1 = obj.add(val)