Optimize machines for distributed merging cost
Company: Kneron
Role: Software Engineer
Category: System Design
Difficulty: medium
Interview Round: Take-home Project
In a distributed computation, processing the entire dataset on one machine takes O(n) time. If the data is evenly partitioned across k machines, the per‑machine compute time becomes O(n/k). Merging the partial results from the k machines takes O(k^
2) time. Assuming negligible other overheads, which value of k approximately minimizes the total runtime O(n/k + k^
2)? Pick ONE option:
A) around 10
B) around log2 n
C) around square root of n
D) around n/2
Quick Answer: This question evaluates a candidate's ability to perform asymptotic performance analysis and reason about scalability trade-offs between parallel computation and aggregate merge costs.