You are given a 0-indexed binary matrix grid
. In one operation, you can flip any 1
in grid
to be 0
.
A binary matrix is well-isolated if there is no 1
in the matrix that is 4-directionally connected (i.e., horizontal and vertical) to another 1
.
Return the minimum number of operations to make grid
well-isolated.
Example 1:
Input: grid = [[1,1,0],[0,1,1],[1,1,1]] Output: 3 Explanation: Use 3 operations to change grid[0][1], grid[1][2], and grid[2][1] to 0. After, no more 1's are 4-directionally connected and grid is well-isolated.
Example 2:
Input: grid = [[0,0,0],[0,0,0],[0,0,0]] Output: 0 Explanation: There are no 1's in grid and it is well-isolated. No operations were done so return 0.
Example 3:
Input: grid = [[0,1],[1,0]] Output: 0 Explanation: None of the 1's are 4-directionally connected and grid is well-isolated. No operations were done so return 0.
Constraints:
m == grid.length
n == grid[i].length
1 <= m, n <= 300
grid[i][j]
is either0
or1
.