My first instinct was backtracking through permutations and counting conflicts for each ordering.
Start by clarifying the problem: define what a 'commit conflict' means (e.g., same file modified in different branches) and the merge model (e.g., merging all branches into one). Then propose modeling the branches and their commits as a graph or interval overlap problem, and discuss algorithms like greedy interval scheduling or union-find to minimize conflicts. Finally, analyze time/space complexity and trade-offs between different approaches.
Pro tip: Amazon values customer obsession and ownership; relate the problem to real-world scenarios like reducing merge conflicts in CI/CD pipelines, and mention how you'd validate the solution with unit tests and edge cases.
Ask questions to understand the definition of a conflict, the merge strategy (e.g., sequential vs. simultaneous), and constraints (number of branches, commits per branch).
Represent each branch as a set of commits (or files changed) and define conflicts as overlaps. Consider using intervals or graphs to capture relationships.
Suggest a greedy approach (e.g., sort by end time and select non-overlapping) or graph-based method (e.g., maximum independent set) to minimize conflicts, and justify its optimality.
Discuss time and space complexity, and compare with brute-force or other approaches. Mention scalability for large repositories.
Outline how to test the solution with edge cases (e.g., no conflicts, all conflicts) and potentially implement a prototype.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.