My first instinct was to scan the whole board after every move, which they pushed back on pretty quickly.
Start by clarifying requirements and constraints, then design a data structure that efficiently tracks consecutive marks for each player in all directions. Focus on the win condition of exactly 3 consecutive marks, which requires careful handling of boundaries and overlines. Discuss trade-offs between time and space complexity, and consider scalability for large n and k.
Pro tip: Emphasize that 'exactly 3' means you must check both ends of a potential run to ensure it doesn't extend to 4 or more, which is a common pitfall. Also, mention that for k > 2, the game can end in a draw even if no player wins, so you need to track total moves.
Ask about expected board sizes, number of players, and performance requirements. Confirm that a win requires exactly 3 consecutive marks, not 3 or more.
Propose maintaining counts of consecutive marks for each player in all 4 directions (horizontal, vertical, two diagonals) for each cell. Alternatively, use a hash map to track runs, but consider memory vs. speed trade-offs.
For each move, update the counts for the placed mark and check if it forms exactly 3 consecutive marks in any direction. Ensure to check both ends to avoid overlines.
Return status: win, draw (board full or no possible winning moves), or ongoing. For k > 2, draw can occur before board is full if no player can win.
Discuss time complexity per move (O(1) with precomputed counts) and space complexity (O(n^2 * k) for counts). Suggest optimizations like only tracking active runs or using bitwise operations for small n.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.