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我正在开发一种启发式方法,将 8 个皇后放在 8x8 棋盘上。每个方格都有自己的淘汰数(表示如果在该方格中放置皇后,则“消除”空棋盘的多少个方格。)并且每个皇后应放置在淘汰数最低的方格中。

我的问题是我不知道该怎么做才能不断减少他们适当方格的特定消除数量,所以如果你能帮助我,我将不胜感激。另一个问题,我觉得我的代码很复杂,所以有什么注释可以使它更简单吗?

这是我的代码

public class Queen {
private final int SIZE = 8;
private int board[][] = new int[SIZE][SIZE]; // 8x8 board
private int hor[] = new int[SIZE]; // horizontal moves
private int ver[] = new int[SIZE]; // vertical moves
private int lowestValue = 22;
private int[][] queens = new int[SIZE][2]; // 8 queens 

public Queen () {
    // initialize each square with its own elimination number
    for (int row = 0; row < board.length; row++) {
        for (int col = 0; col < board[row].length; col++) {
            if (row == 0 || row == 7 || ((row >= 1 && row <= 6) && (col == 0 || col == 7))) {
                board[row][col] = 22;
            } 
            else if ((row == 1 || row == 6) && (col >= 1 && col <= 6) || (row > 1 && row < 6) && (col == 1 || col == 6)) {
                board[row][col] = 24;
            }
            else if ((row == 2 || row == 5) && (col >= 2 && col <= 5)|| (row > 2 && row < 5) && (col == 2 || col == 5)){
                board[row][col] = 26;
            }
            else if ((row == 3 || row == 4) && (col >= 3 && col <= 4)){
                board[row][col] = 28;
            }

        }
    }// end initializing

    // initialize moves
    //right
    hor[0] = 1;
    ver[0] = 0;
    //left
    hor[1] = -1;
    ver[1] = 0;
    //up
    hor[2] = 0;
    ver[2] = -1;
    //down
    hor[3] = 0;
    ver[3] = 1;
    //up right
    hor[4] = 1;
    ver[4] = -1;
    hor[7] = -1;
    ver[7] = 1;
    //up left
    hor[5] = -1;
    ver[5] = -1;
    //down right
    hor[6] = 1;
    ver[6] = 1;
    // down left

    for (int queen = 0; queen < queens.length; queen++) {
        placeQueens(queen);
    }
    displayBoard();
}// end constructor

// eliminate squares according to the place of the queen
private void eliminate (int queen_row, int queen_col) {

    // eliminate diagonal
    int rowCopy = queen_row;// helper row
    int colCopy = queen_col;// helper column
    try {
        // eliminate up right
        for (int move = 0; move < 8; move++) {
            rowCopy += ver[4];
            colCopy += hor[4];
            if (board[rowCopy][colCopy] > 0) {
                board[rowCopy][colCopy] = 0;
            }
        }
    } 
    catch (ArrayIndexOutOfBoundsException e) {      
    }

    try {
        rowCopy = queen_row;
        colCopy = queen_col;
        // eliminate up left
        for (int move = 0; move < 8; move++) {
            rowCopy += ver[5];
            colCopy += hor[5];
            if (board[rowCopy][colCopy] > 0) {
            board[rowCopy][colCopy] = 0;
            }
        }
    } 
    catch (ArrayIndexOutOfBoundsException e) {
    }

    try {
        rowCopy = queen_row;
        colCopy = queen_col;
        // eliminate down right
        for (int move = 0; move < 8; move++) {
            rowCopy += ver[6];
            colCopy += hor[6];
            if (board[rowCopy][colCopy] > 0) {
            board[rowCopy][colCopy] = 0;
            }
        }
    } 
    catch (ArrayIndexOutOfBoundsException e) {
    }
    try {
        rowCopy = queen_row;
        colCopy = queen_col;
        // eliminate down left
        for (int move = 0; move < 8; move++) {
            rowCopy += ver[7];
            colCopy += hor[7];
            if (board[rowCopy][colCopy] > 0) {
            board[rowCopy][colCopy] = 0;
            }
        }
    } 
    catch (ArrayIndexOutOfBoundsException e) {
    }

    // eliminate row
    for (int col = 0; col < 8;col++) {
        if (board[queen_row][col] > 0) {
        board[queen_row][col] = 0;
        }
    }
    // eliminate col
    for (int row = 0; row < 8; row++) {
        if (board[row][queen_col] > 0) {
        board[row][queen_col] = 0;
        }
    }

}// end elimination

// decrease elimination number of each square
public void decreaseElimination () {


}// end decrease elimination

public void countEliminated () {
    int counter = 0;
    for (int row = 0; row < board.length; row++) {
        for (int col = 0; col < board[row].length; col++) {
            if (board[row][col] == 0) {
                counter++;
            }

        }
    }
    System.out.printf("%d squares eliminated\n", counter);

}

public void placeQueens(int queenNum) {
    int targetRow;
    int targetCol;
    // find lowest elimination number
    for (int row = 0; row < board.length; row++) {
        for (int col = 0; col < board[row].length; col++) {
            if (board[row][col] > 0 && board[row][col] < lowestValue) {
                lowestValue = board[row][col];
                targetRow = row;
                targetCol = col;

                queens[queenNum][0] = targetRow;
                queens[queenNum][1] = targetCol;
            }
        }
    }

    System.out.printf("queen %d has been placed in [%d][%d]\n", queenNum + 1, queens[queenNum][0], queens[queenNum][1]);
    eliminate(queens[queenNum][0], queens[queenNum][1]);
    decreaseElimination();
    countEliminated();

}

// display board
public void displayBoard () {

    for (int row = 0; row < board.length; row++) {
        for (int col = 0; col < board[row].length; col++) {
                System.out.printf("|%2d|", board[row][col]); // display elimination number of each square
        }
        System.out.println();
    }

}// end displayBoard

}

我的主要方法是在单独的课程中。

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1 回答 1

6

这段代码本质上是有缺陷的:

for (int queen = 0; queen < queens.length; queen++) {
    placeQueens(queen);
}

如果不同时决定将皇后 1 到 8 放在哪里,您就无法决定将皇后 0 放在哪里。你已经实现了“First Fit”:

第一次拟合

正如您在上面的示例中所见,First Fit 不会产生可行的解决方案。本手册中的更多信息(包括有效的算法)。

这是一个确实有效的算法(但扩展性很差): 回溯

于 2012-11-04T13:09:26.933 回答