In a given 2D binary array A, there are two islands.  (An island is a 4-directionally connected group of 1s not connected to any other 1s.)

Now, we may change 0s to 1s so as to connect the two islands together to form 1 island.

Return the smallest number of 0s that must be flipped.  (It is guaranteed that the answer is at least 1.)

Example 1:

Input: [[0,1],[1,0]]
Output: 1

Example 2:

Input: [[0,1,0],[0,0,0],[0,0,1]]
Output: 2

Example 3:

Input: [[1,1,1,1,1],[1,0,0,0,1],[1,0,1,0,1],[1,0,0,0,1],[1,1,1,1,1]]
Output: 1

Note:

  1. 1 <= A.length = A[0].length <= 100
  2. A[i][j] == 0 or A[i][j] == 1
Runtime: 40 ms, faster than 61.25% of C++ online submissions for Shortest Bridge.

class Solution {
private:
int dirs[][] = {{,},{,-},{,},{-,}}; public: int dist(int x1, int x2, int y1, int y2){
return abs(x1 - x2) + abs(y1 - y2);
} int shortestBridge(vector<vector<int>>& A) {
// cout << A.size() << endl;
// cout << A[0].size() << endl;
vector<vector<int>> t1, t2;
bool found1 = false;
for(int i=; i<A.size(); i++){
for(int j=; j<A[].size(); j++){
if(A[i][j] == ) {
if(!found1) {
found1 = true;
helper(A, i, j, t1);
}
else helper(A, i, j, t2);
}
}
}
int mindist = INT_MAX;
for(int i=; i<t1.size(); i++){
for(int j=; j<t2.size(); j++){
mindist = min(mindist, dist(t1[i][], t2[j][], t1[i][], t2[j][]));
}
}
return mindist-;
} void helper(vector<vector<int>>& A, int x, int y, vector<vector<int>>& target) {
A[x][y] = -;
for(int i=; i<; i++){
int dx = x + dirs[i][];
int dy = y + dirs[i][];
if(dx >= && dx < A.size() && dy >= && dy < A[].size() && A[dx][dy] == ) {
target.push_back({x,y});
break;
}
}
for(int i=; i<; i++){
int dx = x + dirs[i][];
int dy = y + dirs[i][];
if(dx >= && dx < A.size() && dy >= && dy < A[].size() && A[dx][dy] == ) {
helper(A, dx, dy, target);
}
}
}
};

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