← Pinduoduo Interview Insights
Started with the O(N^3) triple loop, which they were fine with as a starting point.
Start by clearly stating the brute-force O(n^3) approach with three nested loops, then optimize to O(n^2) by sorting the array and using a two-pointer technique for each fixed first element. Discuss trade-offs: sorting changes indices but since we only count triplets, it's acceptable; also mention handling duplicates and edge cases.
Pro tip: After presenting the O(n^2) solution, briefly mention that for very large arrays or multiple queries, a hash map based approach or precomputation might be considered, but clarify that the two-pointer method is optimal for a single query. This shows you think about scalability and practical constraints.
Restate the problem to ensure understanding: count triplets (i,j,k) with i<j<k and sum T. Ask about constraints: array size, possible duplicates, negative numbers, and whether indices matter for output (only count).
Describe the naive O(n^3) approach: triple nested loops checking all i<j<k and summing to T. Mention time complexity and that it's inefficient for large n.
Sort the array (O(n log n)). For each i from 0 to n-3, set left = i+1, right = n-1, and use two-pointer to find pairs summing to T - arr[i]. Count valid triplets, handling duplicates by skipping equal elements to avoid double-counting.
State time complexity O(n^2) and space O(1) (ignoring sorting). Discuss that sorting changes original indices but since we only count, it's fine. Mention alternative hash map approach for unsorted but O(n^2) time and O(n) space.
Cover edge cases: array size <3, no triplets, all elements same, negative numbers, large values causing overflow. Suggest testing with small examples and verifying counts.
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