#include <iostream>
#include <cstring>
using namespace std;
const int INF = 100000;
char g[10][10];
int dx[5] = {0, -1, 0, 1, 0}, dy[5] = {0, 0, 1, 0, -1};
void turn(int x, int y){
for (int i = 0; i < 5; i ++ ){
int a = x + dx[i], b = y + dy[i];
if (a >= 0 && a < 5 && b >= 0 && b < 5)
g[a][b] = '0' + !(g[a][b] - '0');
}
}
int work(){
int ans = INF;
for (int k = 0; k < 1 << 5; k ++ ){
int res = 0;
char backup[10][10];
memcpy(backup, g, sizeof g);
for (int j = 0; j < 5; j ++ ){
if (k >> j & 1) res ++ , turn(0, j);
}
for (int i = 0; i < 4; i ++ )
for (int j = 0; j < 5; j ++ )
if (g[i][j] == '0')
res ++ , turn(i + 1, j);
bool is_successful = true;
for (int j = 0; j < 5; j ++ )
if (g[4][j] == '0'){
is_successful = false;
break;
}
if (is_successful) ans = min(ans, res);
memcpy(g, backup, sizeof g);
}
if (ans > 6) return -1;
return ans;
}
int main(){
int T; cin >> T;
while (T -- ){
for (int i = 0; i < 5; i ++ ) cin >> g[i];
cout << work() << endl;
}
return 0;
}