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Solution: Sliding Window Median
Problem Statement
Given an array of numbers and a number ‘k’, find the median of all the ‘k’ sized sub-arrays (or windows) of the array.
Example 1:
Input: nums=[1, 2, -1, 3, 5], k = 2
Output: [1.5, 0.5, 1.0, 4.0]
Explanation: Lets consider all windows of size ‘2’:
[1, 2, -1, 3, 5] -> median is 1.5
[1, 2, -1, 3, 5] -> median is 0.5
[1, 2, -1, 3, 5] -> median is 1.0
[1, 2, -1, 3, 5] -> median is 4.0
Example 2:
Input: nums=[1, 2, -1, 3, 5], k = 3
Output: [1.0, 2.0, 3.0]
Explanation: Let's consider all windows of size ‘3’:
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