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Grokking the Coding Interview Patterns in Go

Median of Two Sorted Arrays

Explore how to determine the median of two sorted integer arrays efficiently by understanding and implementing an O(log(min(m,n))) time complexity solution. This lesson helps you tackle a common interview challenge by applying optimal algorithmic thinking and preparing you for complex coding questions requiring efficient time and space management.

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Statement

You’re given two sorted integer arrays, nums1 and nums2, of size mm and nn, respectively. Your task is to return the median of the two sorted arrays.

The overall run time complexity should be O(log⁡(m,n))O(\log (m, n)).

Constraints:

  • nums1.length ==== mm

  • nums2.length ==== nn

  • 0≤m≤10000 \leq m \leq 1000

  • 0≤n≤10000 \leq n \leq 1000

  • 1≤m+n≤20001 \leq m + n \leq 2000

  • −105≤-10^5 \leq nums1[i], nums2[i] ≤105\leq 10^5

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:

Median of Two Sorted Arrays

1.

What is the output if the following arrays are given as input?

nums1 = [3, 5, 9, 10, 14]

nums2 = [1, 4, 6, 9, 30]

A.

7.0

B.

8.0

C.

7.5

1 / 2

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.

Note: As an additional challenge, we have intentionally hidden the solution to this puzzle.

Sequence - Vertical
Drag and drop the cards to rearrange them in the correct sequence.
1
2
3
4
5
6

Try it yourself

Implement your solution in the following coding playground.

We have left the solution to this challenge as an exercise for you. The optimal solution to this problem runs in O(log(min(m, n))) time and takes O(1) space. You may try to translate the logic of the solved puzzle into a coded solution.

Go
usercode > FindMedian.go
package main
func findMedianSortedArrays(nums1 []int, nums2 []int) float64 {
	  // Replace this placeholder return statement with your code
    return 1.0
}
Median of Two Sorted Arrays