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Median of Two Sorted Arrays at Amazon — Interview Guide

How to approach Median of Two Sorted Arrays in a Amazon interview: the optimal approach, what Amazon interviewers look for, and company-specific tips.

Updated 2026-09HardBinary Search

The problem at Amazon

Given two sorted arrays, find the median of the combined sorted array in O(log(min(m,n))) time.

Amazon uses this problem to assess customer-obsessed, data-driven, bar-raising. Expect Amazon-specific follow-ups that tie the solution back to production reasoning and the company's engineering bar.

Key concepts

Binary search a partition point in the smaller array so the left half of the merged array contains exactly half the elements.
A valid partition has maxLeftA ≤ minRightB and maxLeftB ≤ minRightA.
Adjust the partition by comparing maxLeftA with minRightB.

Approach

Ensure A is the smaller array; binary search a cut i in A, with j = (m+n+1)//2 - i in B.
If A[i-1] > B[j], move the cut left; if B[j-1] > A[i], move right.
When valid, compute the median from the edge elements (handle even/odd total length).

Complexity

Metric	Value
Time	O(log(min(m,n)))
Space	O(1)

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