Solution: Sliding Window Median

Explore how to solve the sliding window median problem by applying a heap-based approach. Understand how max-heaps and min-heaps balance the data, how to maintain median values efficiently, and optimize time complexity to O(n log n). This lesson guides you through the algorithm design, complexity analysis, and implementation best practices for 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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