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Leetcode Surrounded Regions

2014年04月05日 ⁄ 综合 ⁄ 共 1177字 ⁄ 字号 评论关闭

Surrounded Regions

 Total Accepted: 4258 Total
Submissions: 30340
My Submissions

Given a 2D board containing 'X' and 'O',
capture all regions surrounded by 'X'.

A region is captured by flipping all 'O's
into 'X's in that surrounded region .

For example,

X X X X
X O O X
X X O X
X O X X

After running your function, the board should be:

X X X X
X X X X
X X X X
X O X X

本题关键是理解问题的特点:四面的最外层搜索,有O通路的就为不被包围的区域,其他都可以置为X;

没把握这个特点,难度为五星级的。

知道这个特点,难度瞬间变为3到4星级。

//2014-2-18 update
	const static char NON_SURROUNDED = '*';
	void solve(vector<vector<char>> &board) 
	{
		if (board.empty() || board[0].empty()) return;

		for (int i = 0; i < board.size(); i++)
		{
			backtrack(board, i, 0);
			backtrack(board, i, board[0].size()-1);
		}
		for (int i = 1; i < board[0].size(); i++)
		{
			backtrack(board, 0, i);
			backtrack(board, board.size()-1, i);
		}
		for (int i = 0; i < board.size(); i++)
		{
			for (int j = 0; j < board[0].size(); j++)
			{
				if (board[i][j] == NON_SURROUNDED)  board[i][j] = 'O';
				else board[i][j] = 'X';
			}
		}

	}
	void backtrack(vector<vector<char> > &board, int row, int col)
	{
		if (!isLegal(board, row, col)) return;
		board[row][col] = NON_SURROUNDED;
		backtrack(board, row+1, col);
		backtrack(board, row-1, col);
		backtrack(board, row, col+1);
		backtrack(board, row, col-1);
	}
	bool isLegal(vector<vector<char> > &board, int i, int j)
	{
		return 
		!(i<0 || i>=board.size() || j<0 || j>=board[0].size() || board[i][j] != 'O');
	}

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