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@yokolet
Created October 3, 2018 01:14
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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:
- A move is guaranteed to be valid and is placed on an empty block.
- Once a winning condition is reached, no more moves is allowed.
- 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.
toe = TicTacToe(3)
print(toe.move(0, 0, 1)) # 0
|X| | |
| | | | Player 1 makes a move at (0, 0).
| | | |
print(toe.move(0, 2, 2)) # 0
|X| |O|
| | | | Player 2 makes a move at (0, 2).
| | | |
print(toe.move(2, 2, 1)) # 0
|X| |O|
| | | | Player 1 makes a move at (2, 2).
| | |X|
print(toe.move(1, 1, 2)) # 0
|X| |O|
| |O| | Player 2 makes a move at (1, 1).
| | |X|
print(toe.move(2, 0, 1)) # 0
|X| |O|
| |O| | Player 1 makes a move at (2, 0).
|X| |X|
print(toe.move(1, 0, 2)) # 0
|X| |O|
|O|O| | Player 2 makes a move at (1, 0).
|X| |X|
print(toe.move(2, 1, 1)) # 1 (player 1 wins)
|X| |O|
|O|O| | Player 1 makes a move at (2, 1).
|X|X|X|
"""
class TicTacToe:
def __init__(self, n):
"""
Initialize your data structure here.
:type n: int
"""
self.n = n
self.rows = [0] * n
self.cols = [0] * n
self.left_diag = 0
self.right_diag = 0
def move(self, row, col, player):
"""
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.
:type row: int
:type col: int
:type player: int
:rtype: int
"""
value = 1
if player == 2:
value = -1
self.rows[row] += value
self.cols[col] += value
if row == col:
self.left_diag += value
if abs(self.left_diag) == self.n:
return player
if (self.n - row - 1) == col:
self.right_diag += value
if abs(self.right_diag) == self.n:
return player
if abs(self.rows[row]) == self.n or\
abs(self.cols[col]) == self.n:
return player
return 0
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