My first instinct was prefix sums, which got me somewhere but I fumbled explaining the partition logic cleanly.
First, clarify the problem constraints and edge cases, then propose an efficient algorithm that computes the target sum and greedily partitions the array while validating each segment. Discuss time and space complexity, and consider alternative approaches if the problem allows non-contiguous subarrays.
Pro tip: Always confirm whether the subarrays must be contiguous and whether the split must use all elements; these details drastically change the solution and show you think about real-world ambiguity.
Ask if subarrays must be contiguous, if all elements must be used, and if the number of subarrays is fixed or flexible. Also check for constraints like array size and value range.
Check if the total sum is divisible by the desired number of subarrays (if fixed) or if the target sum is achievable. Handle empty array, zeros, and negative numbers appropriately.
For contiguous subarrays with equal sum, compute the target sum (total sum divided by k, if k is given) and greedily accumulate elements until the target is reached, then start a new subarray. For non-contiguous, consider subset sum or DP approaches.
State the time complexity (e.g., O(n) for greedy contiguous) and space complexity (O(1) extra space). Discuss trade-offs if using DP.
Walk through a few examples, including edge cases, to verify the algorithm works and to demonstrate correctness.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.