Monday, July 25, 2016

LeetCode [348] Design Tic-Tac-Toe

Design a Tic-tac-toe game that is played between two players on a n x n grid.
You may assume the following rules:
  1. A move is guaranteed to be valid and is placed on an empty block.
  2. Once a winning condition is reached, no more moves is allowed.
  3. A player who succeeds in placing n of their marks in a horizontal, vertical, or diagonal row wins the game.
Example:
Given n = 3, assume that player 1 is "X" and player 2 is "O" in the board.

TicTacToe toe = new TicTacToe(3);

toe.move(0, 0, 1); -> Returns 0 (no one wins)
|X| | |
| | | |    // Player 1 makes a move at (0, 0).
| | | |

toe.move(0, 2, 2); -> Returns 0 (no one wins)
|X| |O|
| | | |    // Player 2 makes a move at (0, 2).
| | | |

toe.move(2, 2, 1); -> Returns 0 (no one wins)
|X| |O|
| | | |    // Player 1 makes a move at (2, 2).
| | |X|

toe.move(1, 1, 2); -> Returns 0 (no one wins)
|X| |O|
| |O| |    // Player 2 makes a move at (1, 1).
| | |X|

toe.move(2, 0, 1); -> Returns 0 (no one wins)
|X| |O|
| |O| |    // Player 1 makes a move at (2, 0).
|X| |X|

toe.move(1, 0, 2); -> Returns 0 (no one wins)
|X| |O|
|O|O| |    // Player 2 makes a move at (1, 0).
|X| |X|

toe.move(2, 1, 1); -> Returns 1 (player 1 wins)
|X| |O|
|O|O| |    // Player 1 makes a move at (2, 1).
|X|X|X|
Follow up:
Could you do better than O(n2) per move() operation?
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class TicTacToe {
public:
  vector<int> cols, rows;
  int diagonal, antiDiagonal;

  /** Initialize your data structure here. */
  TicTacToe(int n) : diagonal(0), antiDiagonal(0) {
    cols = vector<int>(n);
    rows = vector<int>(n);
  } 
    
  /** Player {player} makes a move at ({row}, {col}).
      @param row The row of the board.
      @param col The column of the board.
      @param player The player, can be either 1 or 2.
      @return The current winning condition, can be either:
              0: No one wins.
              1: Player 1 wins.
              2: Player 2 wins. */
  int move(int row, int col, int player) {
    int toAdd = player == 1 ? 1 : -1;
    rows[row] += toAdd;
    cols[col] += toAdd;
    if (row == col) {
      diagonal += toAdd;
    }
    int len = rows.size();
    if (row == len-col-1) {
      antiDiagonal += toAdd;
    }
    if (abs(rows[row]) == len ||
        abs(cols[col]) == len ||
        abs(diagonal) == len ||
        abs(antiDiagonal) == len) {
      return player;
    }
    return 0;
  }
};

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