Sort B and binary search for the cutoff point.
Sort array B and for each element a in A, use binary search to count how many b satisfy a*b >= T, handling positive, negative, and zero cases separately. Alternatively, sort both arrays and use two pointers to achieve O(n log n + m log m) time.
Pro tip: Clarify constraints and edge cases (e.g., zeros, negative numbers, integer overflow) before coding; this shows thoroughness and prevents subtle bugs.
Ask about array sizes, value ranges, duplicates, and whether T can be negative. Discuss handling of zeros and negative numbers.
Propose sorting B and using binary search for each element in A, or sorting both and using two pointers. Explain time complexity trade-offs.
Separate B into positive, negative, and zero values. For each a, determine the threshold for b based on the sign of a and T.
For each a, compute the required bound for b and use binary search (or two pointers) to count qualifying elements in the sorted B.
Walk through examples including zeros, negatives, and large values to verify correctness and discuss potential overflow.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
Classic union-find setup but I fumbled explaining it at first.
Model the problem as finding connected components in a graph where accounts are nodes and shared identifiers create edges. Use a union-find (disjoint set) data structure to efficiently merge accounts that share any identifier, then aggregate names and identifiers per component, ensuring identifiers are deduplicated and sorted.
Pro tip: Mention that union-find with path compression and union by rank gives near-constant time per operation, making it ideal for large-scale data like TikTok's; also note that handling transitive merges correctly requires processing all identifiers before finalizing groups.
Confirm input format, whether names can differ within a group (and which to choose), and how to handle empty identifiers or duplicate accounts. Discuss output ordering expectations.
Explain that union-find efficiently handles transitive connections by unioning accounts that share an identifier. Use a hash map from identifier to account index to quickly find and union accounts.
Iterate through each account, and for each identifier, union the current account with any previously seen account having that identifier. This builds all connected components.
After unions, group accounts by their root. For each group, collect all identifiers into a set, then produce a sorted list. Choose a representative name (e.g., first encountered or lexicographically smallest) and document the choice.
State time complexity: O(N α(N) + K log K) where N is number of accounts/identifiers and K is total identifiers for sorting. Space O(N). Mention that union-find with path compression is near-linear.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.