Design Tic-Tac-Toe — Python

# Time:  O(1), per move.
# Space: O(n^2)


class TicTacToe(object):

    def __init__(self, n):
        """
        Initialize your data structure here.
        :type n: int
        """
        self.__size = n
        self.__rows = [[0, 0] for _ in xrange(n)]
        self.__cols = [[0, 0] for _ in xrange(n)]
        self.__diagonal = [0, 0]
        self.__anti_diagonal = [0, 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
        """
        i = player - 1
        self.__rows[row][i] += 1
        self.__cols[col][i] += 1
        if row == col:
            self.__diagonal[i] += 1
        if col == len(self.__rows) - row - 1:
            self.__anti_diagonal[i] += 1
        if any(self.__rows[row][i] == self.__size,
               self.__cols[col][i] == self.__size,
               self.__diagonal[i] == self.__size,
               self.__anti_diagonal[i] == self.__size):
            return player

        return 0