/**
   * This code takes a board input where the upper left is (1,1) and the lower right is (8,8). It
   * then displays the board and gives the queens using those coordinates. The calculations are done
   * as if the upper left is (0,0) and the lower right is (7,7)
   */
  public static void EightQueens(int a, int b) {
    ChessBoard temp = new ChessBoard();
    temp.copy(board);

    if (board.getSpace(a, b) == " ") {
      if (board.queenAmount() != 8) {
        board.placeQueen(a, b); // place queen
        for (int i = 0; i < 8; i++)
          for (int j = 0; j < 8; j++) {
            // count++; //for checking total calculations
            if (board.getSpace(i, j) != " ") {
            } // System.out.println( "cannot place queen at ("+i+","+j+")");
            else EightQueens(i, j);
          }
        if (board.queenAmount() != 8) board.copy(temp); // retrace steps to the most previous bord
      }
    }

    /**
     * The next two sections of code change the solutions from a (0,0-7,7) scale to the "Layman's
     * scale" of (1,1-8,8)
     */
    if (board.queenAmount() == 8)
      System.out.println("Queen location: (" + (a + 1) + "," + (b + 1) + ")");

    if (m == a && b == n) {
      System.out.println("Initial placement (" + (a + 1) + "," + (b + 1) + ")");
      // the next line shows the amount of computations the program took to calculate the solution
      // total+=count;
      board.display();
    }
  }
  /**
   * This methods does calculations using a chessboard as if the upper left corner was (0,0) and the
   * lower right corner was (7,7). It then displays the board and the queen locations using standard
   * chessboard identifications.
   */
  public static void letterEightQueens(int a, int b) {
    ChessBoard temp = new ChessBoard(nByn);
    temp.copy(board);

    if (board.getSpace(a, b) == " ") {
      if (board.queenAmount() != nByn) {
        board.placeQueen(a, b); // place queen
        for (int i = 0; i < nByn; i++)
          for (int j = 0; j < nByn; j++) {
            // count++; //for checking total calculations
            if (board.getSpace(i, j) != " ") {
            } // System.out.println( "cannot place queen at ("+i+","+j+")");
            else letterEightQueens(i, j);
          }
        if (board.queenAmount() != nByn)
          board.copy(temp); // retrace steps to the most previous bord
      }
    }

    /**
     * The next two sections of code change the integer solutions to the character solution, namely,
     * converts from a (0,0-7,7) scale to an (a1-h8) scale
     */
    if (board.queenAmount() == nByn) // if there are 8 queens on the board
    System.out.println("Queen location: " + (char) (b + 97) + (nByn - a));

    if (m == a && b == n) {
      System.out.println("Initial placement " + (char) (b + 97) + (nByn - a));
      // the next line shows the amount of computations the program took to calculate the solution
      // total+=count;
      board.display();
    }
  }