← Snowflake Interview Insights
The moment I saw the three-color constraint and single-pass requirement I knew it was the classic three-pointer partition problem.
Recognize this as the Dutch National Flag problem and propose a three-pointer partitioning approach. Explain how to maintain three regions (red, green, blue) in a single pass using swaps, ensuring O(n) time and O(1) space. Walk through the algorithm with a small example to demonstrate correctness.
Pro tip: Emphasize that the algorithm must handle edge cases like all elements the same color or empty collection, and that the swap operation is the only way to modify the collection, so you must carefully manage pointer updates to avoid infinite loops.
Restate the problem: sort in-place with only size(), getColor(i), and swap(i, j), in O(n) time, O(1) space, single pass. Confirm that colors are 0,1,2 and that the collection is mutable via swap.
Recognize this as the Dutch National Flag problem, which uses three pointers to partition the array into three regions in one pass.
Use low, mid, and high pointers. Invariant: [0, low-1] are reds, [low, mid-1] are greens, [mid, high] are unknown, [high+1, n-1] are blues. Initialize low=0, mid=0, high=n-1.
While mid <= high: if getColor(mid) == 0, swap(low, mid), low++, mid++; if == 1, mid++; if == 2, swap(mid, high), high-- (do not increment mid). Explain why this maintains invariants and terminates.
Each element is examined at most once, so O(n) time. Only constant extra space for pointers. Discuss edge cases: empty collection, all same color, and already sorted.
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