Solution: Sliding Window Median

Explore how to solve the sliding window median problem by using max-heaps and min-heaps to dynamically maintain elements. Learn to balance these heaps and use hash maps to handle removals efficiently. This lesson helps you understand how to optimize for time and space complexity while implementing a common pattern in coding interviews.

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Statement
Solution
- Naive approach
- Optimized approach using heaps

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 $10^{-5}$ of the actual value will be accepted.

Constraints:

$1 \leq$ k $\leq$ nums.length $\leq 10^3$
$-2^{31} \leq$

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