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Sliding Window Median

Explore methods to compute the median for each subarray of fixed size sliding across an array. Understand how to apply heaps to efficiently manage dynamic data, and practice coding this solution by implementing and optimizing it within the constraints.

Statement

Given an integer array, nums, and an integer, k, there is a sliding window of size k, which is moving from the very left to the very right of the array. We can only see the k numbers in the window. Each time the sliding window moves right by one position.

Given this scenario, return the median of the each window. Answers within 10510^{-5} ...