Validity of a given Tic-Tac-Toe board configuration - GeeksforGeeks


Validity of a given Tic-Tac-Toe board configuration - GeeksforGeeks
A Tic-Tac-Toe board is given after some moves are played. Find out if the given board is valid, i.e., is it possible to reach this board position after some moves or not.
Note that every arbitrary filled grid of 9 spaces isn’t valid e.g. a grid filled with 3 X and 6 O isn’t valid situation because each player needs to take alternate turns.
tictactoe

 // This matrix is used to find indexes to check all
// possible wining triplets in board[0..8]
int win[8][3] = {{0, 1, 2}, // Check first row.
                {3, 4, 5}, // Check second Row
                {6, 7, 8}, // Check third Row
                {0, 3, 6}, // Check first column
                {1, 4, 7}, // Check second Column
                {2, 5, 8}, // Check third Column
                {0, 4, 8}, // Check first Diagonal
                {2, 4, 6}}; // Check second Diagonal
 
// Returns true if character 'c' wins. c can be either
// 'X' or 'O'
bool isCWin(char *board, char c)
{
    // Check all possible winning combinations
    for (int i=0; i<8; i++)
        if (board[win[i][0]] == c &&
            board[win[i][1]] == c &&
            board[win[i][2]] == c )
            return true;
    return false;
}
 
// Returns true if given board is valid, else returns false
bool isValid(char board[9])
{
    // Count number of 'X' and 'O' in the given board
    int xCount=0, oCount=0;
    for (int i=0; i<9; i++)
    {
       if (board[i]=='X') xCount++;
       if (board[i]=='O') oCount++;
    }
 
    // Board can be valid only if either xCount and oCount
    // is same or xount is one more than oCount
    if (xCount==oCount || xCount==oCount+1)
    {
        // Check if 'O' is winner
        if (isCWin(board, 'O'))
        {
            // Check if 'X' is also winner, then
            // return false
            if (isCWin(board, 'X'))
                 return false;
 
            // Else return true xCount and yCount are same
            return (xCount == oCount);
        }
 
        // If 'O' is not winner, then return true
        return true;
    }
    return false;
}
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