Java BFS - 如果我想沿对角线移动，我应该更改什么

Question

我正在查看这段代码，但我真的不知道如何实现对角线移动。我尝试过改变可能的动作，但我不知道该怎么做。预期结果是，代码在可能的情况下寻找沿对角线移动的最短路径，以降低总成本。很抱歉代码的长度，谢谢。

{
    // (x, y) represents matrix cell coordinates
    // dist represent its minimum distance from the source
    int x, y, dist;
    Node(int x, int y, int dist) {
        this.x = x;
        this.y = y;
        this.dist = dist;
    }
};
class Main
{
    // M x N matrix
    private static final int M = 10;
    private static final int N = 10;
    // Possible movements
    private static final int row[] = { -1, 0, 0, 1 };
    private static final int col[] = { 0, -1, 1, 0 };
    // Function to check if it is possible to go to position (row, col)
    private static boolean isValid(int mat[][], boolean visited[][], int row, int col)
    {
        return (row >= 0) && (row < M) && (col >= 0) && (col < N)
                        && mat[row][col] == 1 && !visited[row][col];
    }
    // Find Shortest Possible Route
    // cell (i, j) to cell (x, y)
    private static void BFS(int mat[][], int i, int j, int x, int y)
    {
        // construct a matrix to keep track of visited cells
        boolean[][] visited = new boolean[M][N];
        // create an empty queue
        Queue<Node> q = new ArrayDeque<>();
        // mark source cell as visited and enqueue the source node
        visited[i][j] = true;
        q.add(new Node(i, j, 0));
        // stores length of longest path from source to destination
        int min_dist = Integer.MAX_VALUE;
        // run till queue is not empty
        while (!q.isEmpty())
        {
            // pop front node from queue and process it
            Node node = q.poll();
            // (i, j) represents current cell and dist stores its
            // minimum distance from the source
            i = node.x;
            j = node.y;
            int dist = node.dist;
            // if destination is found, update min_dist and stop
            if (i == x && j == y)
            {
                min_dist = dist;
                break;
            }
            // check for all 4 possible movements from current cell
            // and enqueue each valid movement
            for (int k = 0; k < 4; k++)
            {
                // check if it is possible to go to position
                // (i + row[k], j + col[k]) from current position
                if (isValid(mat, visited, i + row[k], j + col[k]))
                {
                    // mark next cell as visited and enqueue it
                    visited[i + row[k]][j + col[k]] = true;
                    q.add(new Node(i + row[k], j + col[k], dist + 1));
                }
            }
        }
        if (min_dist != Integer.MAX_VALUE) {
            System.out.print("The shortest path from source to destination " +
                                     "has length " + min_dist);
        }
        else {
            System.out.print("Destination can't be reached from given source");
        }
    }
}

Answer 1

运动矩阵看起来像

(-1, -1) (-1,  0) (-1,  1)
( 0, -1) ( r,  c) ( 0,  1)
( 1, -1) ( 1,  0) ( 1,  1)

哪里

r - is the current row
c - is the current column

这些值表示需要添加到当前位置才能到达该位置的金额

在此基础上，您可以扩展您的功能