Compute currency conversions with graphs and topological sort

Q: Compute currency conversions with graphs and topological sort

This is a Coding & Algorithms interview question from Stripe for Software Engineer roles. View the full question and solution on PracHub.

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Question

You are given pairwise currency ratios such as "a:b = 1:1.5" and "b:c = 1:1.5". Design functions to: (

store direct conversions; (
answer queries like "A:C" by chaining rates; (
support many queries efficiently; (
when the relations form a DAG with a chosen base currency, compute all currency-to-base rates using a topological ordering; (
explain when a simple map suffices versus when a graph traversal or topological sort is required; (
state time and space complexities and how you handle missing paths or contradictions.

Compute currency conversions with graphs and topological sort

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