/**
 * Stores information relevant to solving the n queens problem of placing n
 * queens on an n-by-n board.
 */

public class Board {
    private int[] board;  // stores board info
    private static final int UNASSIGNED = 100; // unassigned column

    /**
    * Constructs an empty size-by-size board.
    *
    * @param     size   the size of the board.
    * @exception IllegalArgumentException if size is less than 1.
    */
    public Board(int size) {
        if (size < 0)
            throw new IllegalArgumentException();
        board = new int[size];
        for (int i = 0; i < size; i++)
            board[i] = UNASSIGNED;
    }

    /**
     * Returns <tt>true</tt> if it is safe to place a queen at position (row,
     *         col).
     *
     * @param row row of position to check.
     * @param col column of position to check.
     * @return <tt>true</tt> if it is safe to place a queen at position (row,
     *         col).
     * @exception IllegalArgumentException if row and col do not represent a
     *                                     legal board position.
     */
    public boolean safe(int row, int col) {
        // first reset row and col to array range (0..size-1)
        row--;
        col--;

        // next check that row, col are in bounds
        if (!legal(row, col))
            throw new IllegalArgumentException();

        // next check that the current column is empty
        if (board[col] != UNASSIGNED)
            return false;

        // now check for conflicts with other columns
        for (int currCol = 0; currCol < board.length; currCol++) {
            int distance = col - currCol;
            // check for diagonal conflict
            if (board[currCol] == row - distance)
                return false;
            // check for conflict in this row
            if (board[currCol] == row)
                return false;
            // check for other diagonal conflict
            if (board[currCol] == row + distance)
                return false;
        }
        return true;
    }

    /**
     * Places a queen at position (row, col).
     *
     * @param row row of position to check.
     * @param col column of position to check.
     * @exception IllegalArgumentException if it is not safe to place a queen
     *                                     at the given position.
     */
    public void place(int row, int col) {
        if (!safe(row, col))
            throw new IllegalArgumentException();
        board[col - 1] = row - 1;
    }

    /**
     * Removes the queen at position (row, col).
     *
     * @param row row of position to check.
     * @param col column of position to check.
     * @exception IllegalArgumentException if there is no queen at the given
     *            position.
     */
    public void remove(int row, int col) {
        if (!legal(row - 1, col - 1) || board[col - 1] != row - 1)
            throw new IllegalArgumentException();
        board[col - 1] = UNASSIGNED;
    }

    /**
     * Returns the size of the board.
     *
     * @return the size of the board.
     */
    public int size() {
        return board.length;
    }

    /**
     * Displays the current board to System.out.
     */
    public void print() {
        for (int row = 0; row < board.length; row++) {
            for (int col = 0; col < board.length; col++)
                if (board[col] == row)
                    System.out.print(" Q ");
                else
                    System.out.print(" - ");
            System.out.println();
        }
    }

    // post: returns true iff row and col are legal for this board
    private boolean legal(int row, int col) {
        return row >= 0 && row < board.length && col >= 0 && col < board.length;
    }
}