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.lengthusing System;
using System.Collections.Generic;
public class Solution {
    public int[] MaxSlidingWindow(int[] nums, int k) {
        int n = nums.Length;
        int[] res = new int[n - k + 1];
        int x = 0;
        LinkedList<int> dq = new LinkedList<int>();
        int i = 0;
        int j = 0;
        while (j < nums.Length) {
            while (dq.Count != 0 && dq.Last.Value < nums[j]) {
                dq.RemoveLast();
            }
            dq.AddLast(nums[j]);
            if (j - i + 1 == k) {
                res[x] = dq.First.Value;
                ++x;
                if (dq.First.Value == nums[i]) {
                    dq.RemoveFirst();
                }
                ++i;
            }
            ++j;
        }
        return res;
    }
}