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:
1 <= nums.length <= 105-104 <= nums[i] <= 1041 <= k <= nums.lengthobject 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
        }
    }
}