Sliding Window Median

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 $\leq 10^3$
• $-2^{31} \leq$ nums[i] $\leq 2^{31} - 1$

Examples