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Problem: Sliding Window Maximum

Explore how to solve the sliding window maximum problem by implementing a monotonic deque data structure in Python. Understand how this approach maintains maximum values efficiently as the window slides across an array, achieving a linear time solution. Gain practical experience with queue operations and improve your problem-solving skills related to array manipulation and data structure optimization.

Statement

Given an array of integers nums and an integer k representing the size of a sliding window, the window starts at the leftmost position of the array and moves one position to the right at each step until it reaches the rightmost position. At each position, the window covers exactly k consecutive elements.

Return an array containing the maximum value within the sliding window at each position.

Note: The result array will have exactly nums.length k+1- k + 1 elements, one for each valid window position.

Constraints:

  • 11 \leq nums.length 105\leq 10^5

  • ...