Sliding Window Median
Understand how to calculate the median of each sliding window of size k in an integer array by using heaps. Explore solutions that efficiently handle dynamic data with a step-by-step approach and hands-on coding practice.
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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 the following coding playground.
import { MinHeap, MaxHeap } from './Heap.js'/* The following definition is for MinHeap.You can use the same methods for MaxHeap.class MinHeap {size(); // return number of elementspeek(); // return top element without removingpush(val); // insert elementpop(); // remove and return top element}*/export function medianSlidingWindow(nums, k){// Replace this placeholder return statement with your codereturn [];}