Knew the prefix sum trick going in so the base problem was fine.
Start by clarifying the problem constraints (e.g., negative numbers, array size) and then present the optimal O(n) solution using a hash map to store prefix sums and their frequencies. For the follow-ups, explain the boolean variant as a simplification of the same approach, and for positive numbers, describe the two-pointer sliding window technique with O(1) space. Emphasize trade-offs between time and space complexity and discuss edge cases.
Pro tip: Mention that the prefix sum approach can be adapted to handle streaming data or large datasets by processing elements one by one, which is relevant for ML pipelines at TikTok. Also, explicitly state that the two-pointer approach fails with negative numbers, showing you understand the underlying assumptions.
Ask about constraints: array size, possible values (negative, zero, positive), and whether the array is static. Confirm the definition of 'contiguous subarray' and that k can be any integer.
Describe the O(n) time, O(n) space approach using a hash map to store prefix sums and their frequencies. Walk through the algorithm: initialize map with {0:1}, iterate through array, update cumulative sum, check if (sum - k) exists in map, and add its frequency to count.
Explain that the same prefix sum approach can be used, but instead of counting, return true as soon as a subarray sum equals k is found. This can potentially early-exit, but worst-case time remains O(n).
Describe the two-pointer sliding window technique: maintain a window [left, right] and current sum. Expand right to add elements, and while sum > k, shrink from left. If sum == k, return true (or count). This uses O(1) extra space and O(n) time.
Compare the approaches: hash map works for any integers but uses O(n) space; two-pointer only works for non-negative numbers but is space-efficient. Mention edge cases: empty array, k=0, all zeros, large arrays, and integer overflow.
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