First pass I just reached for a temp array and it worked fine, but then they asked me to do it without allocating extra space and I stalled a bit.
Start by clarifying the rotation direction and handling edge cases like k >= n. For the initial solution, use an auxiliary array to place each element at its new index, then for O(1) space, use the reversal algorithm: reverse the entire array, then reverse the first k elements and the remaining n-k elements. Walk through both approaches with a small example, and discuss trade-offs like time complexity and code simplicity.
Pro tip: Mention that the reversal method is optimal for in-place rotation, but if multiple rotations are needed, consider using a circular buffer or index mapping to avoid repeated O(n) operations. Also, clarify whether k can be negative or larger than n, as this shows attention to detail.
Ask about rotation direction (left or right), whether k can be larger than array length, and if the array can be modified in-place. Handle edge cases like empty array, k=0, or k multiple of n.
Explain that you can create a new array and place each element at index (i+k) % n. This is O(n) time and O(n) space, simple and easy to understand.
Describe the three-step reversal: reverse the entire array, then reverse the first k elements, then reverse the remaining n-k elements. This achieves O(n) time and O(1) extra space.
Use a small array like [1,2,3,4,5] with k=2 to demonstrate both approaches, showing the intermediate steps of the reversal method.
Compare time and space complexity, code readability, and potential pitfalls. Mention other methods like cyclic replacements or using a temporary variable for one-by-one rotation, and when they might be preferable.
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