python【力扣LeetCode算法题库】999-车的可用捕获量(DFS)

  1. 车的可用捕获量
    在一个 8 x 8 的棋盘上,有一个白色车(rook)。也可能有空方块,白色的象(bishop)和黑色的卒(pawn)。它们分别以字符 “R”,“.”,“B” 和 “p” 给出。大写字符表示白棋,小写字符表示黑棋。

车按国际象棋中的规则移动:它选择四个基本方向中的一个(北,东,西和南),然后朝那个方向移动,直到它选择停止、到达棋盘的边缘或移动到同一方格来捕获该方格上颜色相反的卒。另外,车不能与其他友方(白色)象进入同一个方格。

返回车能够在一次移动中捕获到的卒的数量。

示例 1:
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输入:[[".",".",".",".",".",".",".","."],[".",".",".",“p”,".",".",".","."],[".",".",".",“R”,".",".",".",“p”],[".",".",".",".",".",".",".","."],[".",".",".",".",".",".",".","."],[".",".",".",“p”,".",".",".","."],[".",".",".",".",".",".",".","."],[".",".",".",".",".",".",".","."]]
输出:3
解释:
在本例中,车能够捕获所有的卒。
示例 2:

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输入:[[".",".",".",".",".",".",".","."],[".",“p”,“p”,“p”,“p”,“p”,".","."],[".",“p”,“p”,“B”,“p”,“p”,".","."],[".",“p”,“B”,“R”,“B”,“p”,".","."],[".",“p”,“p”,“B”,“p”,“p”,".","."],[".",“p”,“p”,“p”,“p”,“p”,".","."],[".",".",".",".",".",".",".","."],[".",".",".",".",".",".",".","."]]
输出:0
解释:
象阻止了车捕获任何卒。
示例 3:

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输入:[[".",".",".",".",".",".",".","."],[".",".",".",“p”,".",".",".","."],[".",".",".",“p”,".",".",".","."],[“p”,“p”,".",“R”,".",“p”,“B”,"."],[".",".",".",".",".",".",".","."],[".",".",".",“B”,".",".",".","."],[".",".",".",“p”,".",".",".","."],[".",".",".",".",".",".",".","."]]
输出:3
解释:
车可以捕获位置 b5,d6 和 f5 的卒。

提示:

board.length == board[i].length == 8
board[i][j] 可以是 ‘R’,’.’,‘B’ 或 ‘p’
只有一个格子上存在 board[i][j] == ‘R’
ju就能走4个方向,easy

class Solution(object):
    def numRookCaptures(self, board):
        """
        :type board: List[List[str]]
        :rtype: int
        """
        self.ans = 0
        def dfs(i, j, dx, dy):
            if i < 0 or i >= 8 or j < 0 or j >= 8: return
            if board[i][j] == 'B': return
            if board[i][j] == 'p':
                self.ans += 1
                return
            dfs(i + dx, j + dy, dx, dy)

        for i in range(8):
            for j in range(8):
                if board[i][j] == 'R':
                    dfs(i + 1, j, 1, 0)# 向下
                    dfs(i - 1, j, -1, 0)# 上
                    dfs(i, j + 1, 0, 1)#右
                    dfs(i, j - 1, 0, -1)#左
        return self.ans


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