Leetcode 999:车的可用捕获量(超详细的解法!!!)

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:

Leetcode 999:车的可用捕获量(超详细的解法!!!)
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:

Leetcode 999:车的可用捕获量(超详细的解法!!!)
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:

Leetcode 999:车的可用捕获量(超详细的解法!!!)
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:

  1. board.length == board[i].length == 8
  2. board[i][j] 可以是 'R''.''B''p'
  3. 只有一个格子上存在 board[i][j] == 'R'

解题思路

这个问题非常简单,首先找到R的坐标位置,然后从R的四周找是不是有p即可。

class Solution:
    def numRookCaptures(self, board: List[List[str]]) -> int:
        R = None
        for i in range(8):
            for j in range(8):
                if board[i][j] == 'R':
                    R = (i, j)
                    break
        
        res = 0
        for x, y in [[0,1], [0,-1], [1,0], [-1,0]]:
            nx = x + R[0]
            ny = y + R[1]
            while 0 <= nx < 8 and 0 <= ny < 8:
                if board[nx][ny] == 'p':
                    res += 1
                    break
                if board[nx][ny] == 'B':
                    break
                nx += x
                ny += y
        return res

我将该问题的其他语言版本添加到了我的GitHub Leetcode

如有问题,希望大家指出!!!

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