Took me a bit to realize the ordering rules were doing a lot of work here.
Start by clarifying the requirements and edge cases, then outline a solution that sorts the logs by user_id and timestamp (preserving input order for ties), builds a trie where each node tracks the set of distinct users, and finally performs a depth-first traversal to generate the formatted string with counts and insertion-ordered children. Discuss time and space complexity, and consider how to handle large inputs efficiently.
Pro tip: Mention that you would use a set per node to track distinct users, but if memory is a concern, you could use a more memory-efficient structure like a bitset or a hash set of user IDs, and note that the output format requires careful handling of indentation and counts.
Ask about input size, expected output format, handling of duplicate actions, and whether users can have multiple sessions. Confirm sorting rules: ascending user ID, then timestamp, preserving original order for ties.
Each node represents an action and stores a set of distinct user IDs and an ordered map (or list) of children to maintain insertion order. The root is a dummy node.
Sort logs by user_id, then timestamp, then original index. For each user, traverse their actions in order, inserting nodes as needed and adding the user ID to each node's set.
Perform a depth-first traversal, printing each node as 'action (count)' with appropriate indentation. Children are visited in insertion order.
Discuss time complexity: O(N log N) for sorting plus O(N * L) for trie insertion, where L is average journey length. Space: O(N * L) for trie nodes and user sets. Suggest optimizations if needed.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.