This one took me a while to even get my footing.
Start by clarifying the problem and constraints, then propose a brute-force solution and progressively optimize using dynamic programming or binary search with hashing. Compare time and space complexities of each approach and discuss trade-offs, finally providing code for the optimal solution.
Pro tip: Amazon values customer obsession and ownership; relate the problem to real-world scenarios like finding common patterns in user behavior logs, and always discuss scalability and edge cases.
Ask about input size, value ranges, and whether the subarrays must be contiguous in both arrays. Confirm if returning any one pair of indices is acceptable.
Explain checking all possible subarrays of one array and searching in the other, with O(n^3) or O(n^2) time complexity, and note its inefficiency for large inputs.
Describe dynamic programming (O(n*m) time and space) and binary search with rolling hash (O((n+m) log(min(n,m))) time). Highlight trade-offs between time and space.
Choose the approach that best balances time and space for the given constraints. Walk through the algorithm and provide clean, efficient code.
State the final time and space complexity, and discuss edge cases like empty arrays, no common subarray, and multiple longest subarrays.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.