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703. Kth Largest Element in a Stream

URL: LeetCode Problem

Problem Description

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.

Examples:

  • 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
    
    

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.

Python3 Solution

class KthLargest:
    def __init__(self, k: int, nums: List[int]):
        nums = heapq.nlargest(k, nums)
        # sort in ascending order
        heapq.heapify(nums)
        self.heap = nums
        self.k = k

    def add(self, val: int) -> int:
        # heapのサイズが既にk個足りてて、heapの最小値よりも小さいなら上からk以下だから最初から追加不要
        if len(self.heap) < self.k:
            heapq.heappush(self.heap, val)
        elif val > self.heap[0]:
            heapq.heapreplace(self.heap, val)

        return self.heap[0]