Question
Hybrid Logical Clocks (HLC) combine physical time with a logical counter to give monotonic, causally-consistent timestamps. An HLC is a pair [l, c] where l is the physical-time component and c is the logical counter. On a SEND or LOCAL event with current physical clock reading `pt`, the update is: new_l = max(old_l, pt); if new_l == old_l then c = old_c + 1 else c = 0. On a RECEIVE of a message stamped [m_l, m_c] with physical reading `pt`: new_l = max(old_l, m_l, pt); if new_l == old_l == m_l then c = max(old_c, m_c) + 1; elif new_l == old_l then c = old_c + 1; elif new_l == m_l then c = m_c + 1; else c = 0. Process the event stream and return the final HLC [l, c]. Each event is ['local', pt] or ['recv', pt, m_l, m_c]. Start at HLC [0, 0].
hlc_final(events: list[list]) → list[int][[["local",10],["local",10]]]out[10,1]State your approach and its time/space complexity out loud before you optimize. Handle the edge cases (empty input, duplicates, overflow), and say why you chose this over the brute force. Green tests are the floor, not the grade.
Vibe coding: describe the solution in plain language (or narrate it) and the coach grades your approach. Generating runnable code from your description is coming next.