← Databricks Interview Insights
I got the basic implementation working fine, class with a 2D board, checking rows and columns and diagonals after each move.
Start by clarifying the requirements and constraints, then propose an O(1) move validation using row, column, and diagonal counters. Implement the TicTacToe class with a move method that updates these counters and checks for a win in constant time, and discuss trade-offs and edge cases.
Pro tip: Mention that you would use separate arrays for rows, columns, and two variables for diagonals, and that you can optimize space by using a single array of size 2*n+2. Also, highlight that the O(1) check is possible because each move only affects one row, one column, and possibly two diagonals.
Ask about board size (fixed 3x3 or variable n x n), number of players, and whether invalid moves need handling. Confirm that the move method should return the current game state (e.g., win, draw, ongoing).
Use arrays to track counts for each row and column, and variables for the two diagonals. For an n x n board, maintain an array of size 2n+2 where each index represents a row, column, or diagonal.
On each move, update the corresponding row, column, and diagonal counters (if applicable) by adding +1 for player 1 and -1 for player 2. Check if any counter reaches +n or -n to determine a win.
Track the number of moves to detect a draw. Validate that the move is within bounds and the cell is empty. Return the appropriate state (e.g., 'X wins', 'O wins', 'Draw', 'Next turn').
Explain that each move is O(1) time and O(n) space for the counters. Discuss alternative approaches like checking the board after each move (O(n) per move) and why the counter method is superior.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.