Sliding Window Maximum

Hard
Sliding Window

You are given an array of integers nums, there is a sliding window of size k which is moving from the very left of the array to the very right. You can only see the k numbers in the window. Each time the sliding window moves right by one position.

Return the max sliding window.

Example 1

Input: nums = [1,3,-1,-3,5,3,6,7], k = 3
Output: [3,3,5,5,6,7]
Explanation: Window position Max --------------- ----- [1 3 -1] -3 5 3 6 7 3 1 [3 -1 -3] 5 3 6 7 3 1 3 [-1 -3 5] 3 6 7 5 1 3 -1 [-3 5 3] 6 7 5 1 3 -1 -3 [5 3 6] 7 6 1 3 -1 -3 5 [3 6 7] 7

Example 2

Input: nums = [1], k = 1
Output: [1]

Constraints

  • 1 <= nums.length <= 10^5
  • -10^4 <= nums[i] <= 10^4
  • 1 <= k <= nums.length
Show Hints (4)
Hint 1: Use a deque (double-ended queue) to store indices.
Hint 2: Keep the deque in decreasing order of values.
Hint 3: Remove indices that are out of the current window.
Hint 4: The front of the deque always contains the maximum for the current window.
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