419. Battleships in a Board 难度:medium

本文介绍了一种用于计数二维棋盘中战舰数量的算法。战舰由字符 'X' 表示,空位由 '.' 表示。通过遍历棋盘并检查每个 'X' 是否能增加战舰计数来实现。确保了战舰之间至少有一个空位相隔。

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题目:

Given an 2D board, count how many different battleships are in it. The battleships are represented with 'X's, empty slots are represented with '.'s. You may assume the following rules:

  • You receive a valid board, made of only battleships or empty slots.
  • Battleships can only be placed horizontally or vertically. In other words, they can only be made of the shape 1xN (1 row, N columns) or Nx1 (N rows, 1 column), where N can be of any size.
  • At least one horizontal or vertical cell separates between two battleships - there are no adjacent battleships.

Example:

X..X
...X
...X
In the above board there are 2 battleships.

Invalid Example:

...X
XXXX
...X
This is an invalid board that you will not receive - as battleships will always have a cell separating between them.


思路:

从左向右,从上向下遍历board,只需要判断当前所在位置是否为X 以及是否能使得battership的数量增加


程序:

class Solution {
public:
    int countBattleships(vector<vector<char>>& board) {
        int count = 0;
        int m = board.size();
        int n = board[0].size();
        
        for(int i = 0;i < m;i++)
        {
            for(int j = 0;j < n;j++)
            {
                if(board[i][j] == 'X')
                {
                    count += 1;
                    for(int p = j + 1;p < n;p++)
                    {
                        if(board[i][p] == '.')
                            break;
                        board[i][p] = '.';
                    }
                    
                    for(int p = i + 1;p < m;p++)
                    {
                        if(board[p][j] == '.')
                            break;
                        board[p][j] = '.';
                    }
                    board[i][j] = '.';
                }
            }
        }
        return count;
    }
};




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