InterviewDB Question

Patrolling Time: Compute Minimum Time for a Guard to Patrol All Zones in a Graph

Question Details

Problem A security guard must patrol n zones connected by corridors (a weighted undirected graph). Each zone must be visited at least once. The guard starts at zone 0. Find the minimum total travel time to visit all zones and optionally return to the start. Example: Approach For small n (n <= 20): bitmask DP on visited set. dp[mask][v] = min time to have visited exactly the zones in mask, ending at zone v. Precompute all-pairs shortest paths with Floyd-Warshall. Follow-ups What is the time compl…

Full Details

🔒

Unlock all Axon questions

Full insider details, leaked discussions, and candidate experiences.

Get full access — from $50/mo

Topics

Dynamic Programming Bit Manipulation Phone Graph Coding Onsite

About Axon Interview Reports

This question was reported by a candidate who interviewed at Axon. LeakCode aggregates interview reports from 10+ sources, including 1Point3Acres, Glassdoor, LeetCode Discuss, Blind, Reddit, Indeed, and Nowcoder. Each report is translated where necessary, deduplicated against existing entries, and tagged by company, role, round type, and reporting date.

Use this question as one calibration data point, not a memorization target. Companies typically rotate their question pools every 2-4 months; the exact wording of a 2024 question may differ from what you encounter today. The underlying pattern, difficulty level, and follow-up depth at Axon are the higher-signal extractions to take from this report.

For broader preparation context, the Axon interview process typically includes a recruiter screen, one or two technical phone screens, and a 4-5 round on-site loop covering coding, system design (at L4+ levels), and behavioral. Reports tagged on LeakCode show the round-by-round distribution and typical difficulty calibration. To browse questions filtered by round type and seniority, use the company hub linked above.

How To Practice This Type of Question

Solve similar problems on LeetCode under timed conditions (25-35 minutes per medium difficulty). The goal is pattern recognition: recognize the underlying technique (sliding window, two-pointer, BFS, memoized recursion, etc.) within 60-90 seconds of reading. Strong candidates verbalize their hypothesis out loud before coding, then iterate based on feedback. Weak candidates dive into implementation immediately, lose time on the wrong approach, and run out of time for follow-ups.

Companies update their question pools every 2-4 months. The exact wording of any given question may have been retired by the time you interview. Focus your prep on the pattern, not the specific problem. The patterns that appear in Axon reports consistently are the ones worth investing in; one-off niche problems are not.

During Your Axon Round

Apply the standard interview round template: clarify requirements (2-3 minutes), state your approach out loud and confirm direction with the interviewer (3-5 minutes), code with narration (15-25 minutes), test with concrete examples including edge cases (5 minutes), discuss optimization or trade-offs if time permits (5 minutes). This template is universally accepted across FAANG and adjacent companies; deviating from it produces weaker interviewer feedback signal.

The single most predictive failure mode in Axon reports tagged "no hire": not asking clarifying questions. Interviewers are explicitly trained to weight this. Strong candidates ask 3-5 clarifying questions even on problems that look obvious; weak candidates dive into code immediately. The clarifying-question check is often the first signal recorded in the interviewer's written notes.