Surrounded Regions Given an m x n
matrix board
containing 'X'
and 'O'
, capture all regions that are 4-directionally surrounded by 'X'
.
A region is captured by flipping all 'O'
s into 'X'
s in that surrounded region.
Example 1:


Input: board = [["X","X","X","X"],["X","O","O","X"],["X","X","O","X"],["X","O","X","X"]] Output: [["X","X","X","X"],["X","X","X","X"],["X","X","X","X"],["X","O","X","X"]] Explanation: Surrounded regions should not be on the border, which means that any 'O' on the border of the board are not flipped to 'X'. Any 'O' that is not on the border and it is not connected to an 'O' on the border will be flipped to 'X'. Two cells are connected if they are adjacent cells connected horizontally or vertically.
Example 2:
Input: board = [["X"]] Output: [["X"]]
Constraints:
m == board.length
n == board[i].length
1 <= m, n <= 200
board[i][j]
is'X'
or'O'
.
Surrounded Regions Solutions
✅Time: O(mn)
✅Space: O(1)
C++
class Solution {
public:
void solve(vector<vector<char>>& board) {
if (board.empty())
return;
const int m = board.size();
const int n = board[0].size();
const vector<int> dirs{0, 1, 0, -1, 0};
queue<pair<int, int>> q;
for (int i = 0; i < m; ++i)
for (int j = 0; j < n; ++j)
if (i * j == 0 || i == m - 1 || j == n - 1)
if (board[i][j] == 'O') {
q.emplace(i, j);
board[i][j] = '*';
}
// mark grids that stretch from four sides with '*'
while (!q.empty()) {
const auto [i, j] = q.front();
q.pop();
for (int k = 0; k < 4; ++k) {
const int x = i + dirs[k];
const int y = j + dirs[k + 1];
if (x < 0 || x == m || y < 0 || y == n)
continue;
if (board[x][y] != 'O')
continue;
q.emplace(x, y);
board[x][y] = '*';
}
}
for (vector<char>& row : board)
for (char& c : row)
if (c == '*')
c = 'O';
else if (c == 'O')
c = 'X';
}
};
Java
class Solution {
public void solve(char[][] board) {
if (board.length == 0)
return;
final int m = board.length;
final int n = board[0].length;
final int[] dirs = {0, 1, 0, -1, 0};
Queue<int[]> q = new ArrayDeque<>();
for (int i = 0; i < m; ++i)
for (int j = 0; j < n; ++j)
if (i * j == 0 || i == m - 1 || j == n - 1)
if (board[i][j] == 'O') {
q.offer(new int[] {i, j});
board[i][j] = '*';
}
// mark grids that stretch from four sides with '*'
while (!q.isEmpty()) {
final int i = q.peek()[0];
final int j = q.poll()[1];
for (int k = 0; k < 4; ++k) {
final int x = i + dirs[k];
final int y = j + dirs[k + 1];
if (x < 0 || x == m || y < 0 || y == n)
continue;
if (board[x][y] != 'O')
continue;
q.offer(new int[] {x, y});
board[x][y] = '*';
}
}
for (char[] row : board)
for (int i = 0; i < row.length; ++i)
if (row[i] == '*')
row[i] = 'O';
else if (row[i] == 'O')
row[i] = 'X';
}
}
Python
class Solution:
def solve(self, board: List[List[str]]) -> None:
if not board:
return
m = len(board)
n = len(board[0])
dirs = [0, 1, 0, -1, 0]
q = deque()
for i in range(m):
for j in range(n):
if i * j == 0 or i == m - 1 or j == n - 1:
if board[i][j] == 'O':
q.append((i, j))
board[i][j] = '*'
# mark grids that stretch from four sides with '*'
while q:
i, j = q.popleft()
for k in range(4):
x = i + dirs[k]
y = j + dirs[k + 1]
if x < 0 or x == m or y < 0 or y == n:
continue
if board[x][y] != 'O':
continue
q.append((x, y))
board[x][y] = '*'
for row in board:
for i, c in enumerate(row):
row[i] = 'O' if c == '*' else 'X'
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