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Solution: Sliding Window Median

Understand how to solve the sliding window median problem by using two heaps to maintain the smaller and larger halves of the window. Explore balancing techniques, lazy removals, and time complexity optimizations to return medians efficiently as the window moves across an array.

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} of the actual value will be accepted.

Constraints:

  • 11 \leq k \leq nums.length 103\leq 10^3
  • 231-2^{31} \leq
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