Context

At companies like Cisco Meraki, interviewers often ask candidates to evaluate whether an automation script or routing-related algorithm will scale as the network grows. The goal is not just to name Big-O, but to justify it from the structure of the solution.

Core Question

Explain how you would analyze the time complexity and space complexity of a network automation or algorithm solution.

Address these points:

1. How do you identify the dominant operations in code?
2. How do loops, nested loops, recursion, and graph traversals affect complexity?
3. How do input size definitions change depending on whether the problem is based on devices, links, configuration lines, or events?

Scope Guidance

The interviewer expects a practical complexity analysis approach, not a proof-heavy theory answer. You should be able to reason about common algorithm patterns, discuss worst-case vs average-case behavior, and explain how complexity helps predict scalability.