Sliding Window Maximum
Difficulty: Hard
Category: DSA
Topics: Array, Queue, Sliding Window, Heap (Priority Queue), Monotonic Queue
Asked at: Amazon, ByteDance, Dropbox, Facebook, Google, Citadel, Bloomberg, Microsoft, Akuna Capital, IBM, Twitter
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 <= 105`
- `-104 <= nums[i] <= 104`
- `1 <= k <= nums.length`