1958.检查操作是否合法

目标

给你一个下标从 0 开始的 8 x 8 网格 board ,其中 board[r][c] 表示游戏棋盘上的格子 (r, c) 。棋盘上空格用 '.' 表示,白色格子用 'W' 表示,黑色格子用 'B' 表示。

游戏中每次操作步骤为:选择一个空格子,将它变成你正在执行的颜色(要么白色,要么黑色)。但是,合法 操作必须满足:涂色后这个格子是 好线段的一个端点 (好线段可以是水平的,竖直的或者是对角线)。

好线段 指的是一个包含 三个或者更多格子(包含端点格子)的线段,线段两个端点格子为 同一种颜色 ,且中间剩余格子的颜色都为 另一种颜色 (线段上不能有任何空格子)。你可以在下图找到好线段的例子:

给你两个整数 rMove 和 cMove 以及一个字符 color ,表示你正在执行操作的颜色(白或者黑),如果将格子 (rMove, cMove) 变成颜色 color 后,是一个 合法 操作,那么返回 true ,如果不是合法操作返回 false 。

示例 1:

输入:board = [[".",".",".","B",".",".",".","."],[".",".",".","W",".",".",".","."],[".",".",".","W",".",".",".","."],[".",".",".","W",".",".",".","."],["W","B","B",".","W","W","W","B"],[".",".",".","B",".",".",".","."],[".",".",".","B",".",".",".","."],[".",".",".","W",".",".",".","."]], rMove = 4, cMove = 3, color = "B"
输出:true
解释:'.','W' 和 'B' 分别用颜色蓝色,白色和黑色表示。格子 (rMove, cMove) 用 'X' 标记。
以选中格子为端点的两个好线段在上图中用红色矩形标注出来了。

示例 2:

输入:board = [[".",".",".",".",".",".",".","."],[".","B",".",".","W",".",".","."],[".",".","W",".",".",".",".","."],[".",".",".","W","B",".",".","."],[".",".",".",".",".",".",".","."],[".",".",".",".","B","W",".","."],[".",".",".",".",".",".","W","."],[".",".",".",".",".",".",".","B"]], rMove = 4, cMove = 4, color = "W"
输出:false
解释:虽然选中格子涂色后,棋盘上产生了好线段,但选中格子是作为中间格子,没有产生以选中格子为端点的好线段。

说明:

  • board.length == board[r].length == 8
  • 0 <= rMove, cMove < 8
  • board[rMove][cMove] == '.'
  • color 要么是 'B' 要么是 'W' 。

思路

有一个 8 x 8 网格,网格中 . 表示空格,W 表示白色,B 表示黑色。现在需要给空格涂色,合法的操作指涂色的格子是好线段的端点。好线段长度至少包含三个格子,且两端颜色一致,中间颜色也一致但与两端颜色不同。给定一个操作,判断其是否合法。

按照题意从涂色端点开始依次遍历八个方向上是否存在好线段。

代码

/**
 * @date 2024-07-07 12:21
 */
public class CheckMove1958 {

    public boolean checkMove(char[][] board, int rMove, int cMove, char color) {
        if (board[rMove][cMove] != '.') {
            return false;
        }
        int[][] direction = new int[][]{
                {-1, 0}, {-1, 1}, {0, 1}, {1, 1}, {1, 0}, {1, -1}, {0, -1}, {-1, -1}
        };
        char opposite = (char) (color ^ 'B' ^ 'W');
        for (int[] d : direction) {
            int cnt = 0;
            int r = d[0];
            int c = d[1];
            while (rMove + r >= 0 && rMove + r < 8
                    && cMove + c >= 0 && cMove + c < 8
                    && board[rMove + r][cMove + c] == opposite) {
                r += d[0];
                c += d[1];
                cnt++;
            }
            // 题目要求至少三个格子,所以要求cnt>0
            if (cnt > 0 && rMove + r >= 0 && rMove + r < 8
                    && cMove + c >= 0 && cMove + c < 8
                    && board[rMove + r][cMove + c] == color) {
                return true;
            }
        }
        return false;
    }
}

性能

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