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Problem: Sliding Window Maximum

Explore how to solve the sliding window maximum problem by implementing a monotonic deque that tracks maximum values efficiently within a window of size k. Learn to manage the deque to achieve linear time complexity and understand its space usage. This lesson helps you apply queue data structures to optimize range queries on arrays.

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 ...