Description

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.

Examples

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

Maximum of each window of size 3.

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

Window of size 1.

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

Works with negative numbers.

Constraints

  • 1 ≤ nums.length ≤ 10⁵
  • -10⁴ ≤ nums[i] ≤ 10⁴
  • 1 ≤ k ≤ nums.length

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