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239. Sliding Window Maximum

Hard

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]

Example 3:

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

Output: [1,-1]

Example 4:

Input: nums = [9,11], k = 2

Output: [11]

Example 5:

Input: nums = [4,-2], k = 2

Output: [4]

Constraints:

Solution

object Solution {
    def maxSlidingWindow(nums: Array[Int], k: Int): Array[Int] = {
        val q = new java.util.ArrayDeque[(Int, Int)]()

        def populate(num: Int, index: Int): Unit = {
            while (!q.isEmpty && q.peekLast()._2 + k <= index) {
                q.pollLast()
            }
            while (!q.isEmpty && (q.peekFirst()._1 <= num)) {
                q.pollFirst()
            }
            q.addFirst((num, index))
        }

        if (k == 1) {
            nums
        } else {
            for (i <- (0 until k - 1)) {
                populate(nums(i), i)
            }
            ((k - 1) until nums.size).map { i =>
                populate(nums(i), i)
                q.peekLast()._1
            }.toArray
        }
    }
}