Passed all the examples, which honestly lulled me into thinking I was fine.
Start by clarifying the problem constraints (e.g., array size, value range, memory limits) and then propose an O(n) time and O(1) space solution using the array itself as a hash table. Explain the algorithm step-by-step, handle edge cases, and analyze time/space complexity.
Pro tip: Mention that you would first check if the array can be modified; if not, you might need a different approach, but in-place is often acceptable and demonstrates space optimization. Also, discuss potential integer overflow when using values as indices.
Ask about array size, possible values (negative, zero, duplicates), and whether the array can be modified. Discuss edge cases like empty array, all negatives, or all positives up to n.
Describe the in-place hashing approach: iterate through the array, and for each positive integer within range, mark its presence by negating the value at the corresponding index. Then scan for the first positive index.
Trace the algorithm on a small example (e.g., [3,4,-1,1]) to demonstrate correctness and handling of duplicates and out-of-range values.
State that the algorithm runs in O(n) time and O(1) extra space. Mention alternative approaches (e.g., sorting, hash set) and their trade-offs.
Address issues like integer overflow when negating, handling duplicates, and ensuring the algorithm works when the array contains values larger than n. Suggest using a boolean array if modification is not allowed.
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