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130. Surrounded Regions

Given a 2D board containing ‘X‘ and ‘O‘ (the letter 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 XX O O XX X O XX O X X

 

After running your function, the board should be:

X X X XX X X XX X X XX O X X

DFS的时候用两个list存访问过的地址,如果没有touch过边界,则用这两个list的值来给board改写。但是这个耗费的space比较大,过不了OJ的大的test case。

public void Solve(char[,] board) {        int row = board.GetLength(0);        int col = board.GetLength(1);        bool[,] visited = new bool[row,col];                for(int i =0;i< row;i++)        {            for(int j =0;j<col;j++)            {                if(board[i,j] == O && !visited[i,j])                {                    List<int> rowStore = new List<int>();                    List<int> colStore = new List<int>();                    bool NotWrap= BackTracking(board,i,j,row,col,visited,rowStore,colStore);                    if(!NotWrap)                    {                        for(int m = 0;m< rowStore.Count();m++)                        {                            board[rowStore[m],colStore[m]] =X;                        }                    }                }            }        }        return;    }        private bool BackTracking(char[,] board, int x, int y, int row, int col, bool[,] visited, List<int> rowStore, List<int> colStore)    {        if(x<0 || x> row-1) return true;        if(y<0 || y> col-1) return true;        if(visited[x,y]) return false;        if(x == 0 || x == row-1)        {            visited[x,y] = true;            if(board[x,y] == O)                 return true;        }        if(y == 0 || y == col-1)        {            visited[x,y] = true;            if(board[x,y] == O) return true;        }              if(board[x,y] == X) return false;        visited[x,y] = true;         rowStore.Add(x);        colStore.Add(y);        return BackTracking(board,x+1,y,row,col,visited,rowStore,colStore) || BackTracking(board,x-1,y,row,col,visited,rowStore,colStore) || BackTracking(board,x,y+1,row,col,visited,rowStore,colStore) || BackTracking(board,x,y-1,row,col,visited,rowStore,colStore);    }        

 

用边界点为‘O’的开始做DFS, 找到的做标记‘#’。然后第二次遍历,标记为‘#’的全换位‘O’, 标记为‘O’的换位‘X’.

 

 public void Solve(char[,] board) {        int row = board.GetLength(0);        int col = board.GetLength(1);                for(int i =0;i< row;i++)        {            for(int j =0;j<col;j++)            {                if(((i== 0 || i== row-1) ||(j == 0|| j ==col-1))&&(board[i,j] == O))                {                    BackTracking(board,i,j,row,col);                }            }        }                for(int i =0;i< row;i++)        {            for(int j =0;j<col;j++)            {                if(board[i,j] == O) board[i,j] = X;                else if(board[i,j] == #) board[i,j] = O;            }        }        return;    }        private void BackTracking(char[,] board, int x, int y, int row, int col)    {        //if(board[x,y] != ‘O‘) return ;                board[x,y] =#;                if(x<row-1 && board[x+1,y]==O) BackTracking(board,x+1,y,row,col);        if(x>0 && board[x-1,y]==O) BackTracking(board,x-1,y,row,col);        if(y<col-1 && board[x,y+1]==O) BackTracking(board,x,y+1,row,col);        if(y>0 && board[x,y-1]==O) BackTracking(board,x,y-1,row,col);    }

 

130. Surrounded Regions