Sliding Window Median
Explore how to compute the median of each sliding window of size k in an integer array using heaps. This lesson helps you master dynamic data handling and develop efficient solutions optimized for time and space complexity, enhancing your problem-solving skills for coding interviews.
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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 of the actual value will be accepted.
Constraints:
-
knums.length -
nums[i]
Examples
Understand the problem
Let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:
Sliding Window Median
What should be the output if the following array and value of k are given as input?
nums = [1, 1, 1, 1, 1, 1]
k = 3
[1.0, 1.0, 1.0, 1.0]
[1.5, 1.5, 1.5, 1.5]
[1.0, 1.0, 1.0, 1.0, 1.0]
[1.5, 1.5, 1.5, 1.5, 1.5]
Figure it out!
We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.
Try it yourself
Implement your solution in MedianSlidingWindow.cpp in the following coding playground. We have provided some useful code templates in the other files that you may build on to solve this problem.
vector<double> MedianSlidingWindow(vector<int> nums, int k){// Replace this placeholder return statement with your codereturn {0.0};}