[leedcode 130] Surrounded Regions
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
public class Solution { public void solve(char[][] board) { /* 从四周BFS!! 题意说明:输入一个二维矩阵,把所有被X包围的O都变成X,但如果某个O在边(角)上,则所有与这个O相连的O都不能变成X。 解题思路:从边上(四个边)的O开始便利,所有与边上O相连的O都不能变成X(可暂时变为Y),之后再重新遍历一遍矩阵把所有O变成X, 所有Y变成O。 需要注意的是,本题使用DFS也会出现栈溢出,只能使用BFS。 使用两个List保存为'O'的坐标,每次从数组中取出一对坐标(并标记为Y,表示跟外界能够相连的O),然后验证其上下左右有没有'O', 如果有add到数组。 另一种方案是构造一个队列,队列保存O的节点,从队列中取出一个节点,把该节点变为Y, 如果该节点的四周有还未变为Y的O,则这些节点放入队列。*/ if(board==null||board.length<2) return; if(board[0].length<2) return; ArrayList<Integer> xindex=new ArrayList<Integer>(); ArrayList<Integer> yindex=new ArrayList<Integer>(); int row=board.length; int col=board[0].length; for(int i=0;i<board.length;i++){ if(board[i][0]=='O'){ xindex.add(i); yindex.add(0); } if(board[i][col-1]=='O'){ xindex.add(i); yindex.add(col-1); } } for(int j=0;j<col;j++){ if(board[0][j]=='O'){ xindex.add(0); yindex.add(j); } if(board[row-1][j]=='O'){ xindex.add(row-1); yindex.add(j); } } int k=0; while(k<xindex.size()){ int i=xindex.get(k); int j=yindex.get(k); board[i][j]='Y'; if(i>0&&board[i-1][j]=='O'){//上 xindex.add(i-1); yindex.add(j); } if(i<row-1&&board[i+1][j]=='O'){//下 xindex.add(i+1); yindex.add(j); } if(j>0&&board[i][j-1]=='O'){//左 xindex.add(i); yindex.add(j-1); } if(j<col-1&&board[i][j+1]=='O'){//右 xindex.add(i); yindex.add(j+1); } k++; } 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]=='Y') board[i][j]='O'; } } /* if(board==null||board.length<=2||board[0].length<=2)return ; for(int i=0;i<board.length;i++){ bfs(board,i,0); bfs(board,i,board[0].length-1); } for(int j=0;j<board[0].length;j++){ bfs(board,0,j); bfs(board,board.length-1,j); } for(int i=0;i<board.length;i++){ for(int j=0;j<board[0].length;j++){ if(board[i][j]=='O') board[i][j]='X'; else if(board[i][j]=='Y') board[i][j]='O'; } } } public void bfs(char[][]board,int row,int col){ if(!isSurrod(board,row,col)) return; board[row][col]='Y'; bfs(board,row-1,col);//上 bfs(board,row+1,col);//下 bfs(board,row,col-1);//左 bfs(board,row,col+1);//右 } public boolean isSurrod(char[][]board,int row,int col){ return !(row<0||row>=board.length||col<0||col>=board[0].length||board[row][col]!='O'); /*if(board==null||board.length==0) { return; } Queue queue = new LinkedList<Pair>(); //对所有在边上的O节点进行BFS for(int i=0;i<board.length;i++) { for(int j=0;j<board[0].length;j++) { if(i==0||i==(board.length-1)||j==0||j==(board[0].length-1)) { if(board[i][j]=='O') { Pair position = new Pair(i,j); queue.add(position); } } } } int x1,y1; //BFS while(!queue.isEmpty()) { Pair position = (Pair)queue.poll(); x1 = position.x; y1 = position.y; //四个方向查找,找到为'O'的节点放入队列中。 //left board[x1][y1] = 'Y'; int index = x1 - 1; if(index>=0&&board[index][y1]=='O') { queue.add(new Pair(index,y1)); } //right index = x1 + 1; if(index<board.length&&board[index][y1]=='O') { queue.add(new Pair(index,y1)); } //up index = y1 + 1 ; if(index<board[0].length&&board[x1][index]=='O') { queue.add(new Pair(x1,index)); } //down index = y1 - 1; if(index>=0&&board[x1][index]=='O') { queue.add(new Pair(x1,index)); } } for(int i=0;i<board.length;i++) { for(int j=0;j<board[0].length;j++) { if(board[i][j]=='Y') { board[i][j] = 'O'; } else { if(board[i][j]=='O') { board[i][j] = 'X'; } } } } return; */ } } class Pair { int x; int y; Pair(int x,int y) { this.x = x; this.y = y; } }