#include<iostream>
#include<cstdio>
#include<algorithm>
#include<cstring>
using namespace std;
const int N = 6;
int dx[N] = {-1, 0, 1, 0, 0}, dy[N] = {0, 1, 0, -1, 0};
char g[N][N], backup[N][N];
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) continue;
g[a][b] ^= 1;
}
}
int main()
{
int n;
scanf("%d", &n);
while(n -- )
{
for (int i = 0; i < 5; i ++ ) cin >> g[i];
int res = 10;
for (int op = 0; op < 32; op ++ )
{
memcpy(backup, g, sizeof g);
int step = 0;
for (int i = 0; i < 5; i ++ )
if (op >> i & 1) {
step ++ ;
turn (0, i);;
}
for (int i =0; i < 4; i ++ )
for (int j = 0; j < 5;j ++ )
if (g[i][j] == '0')
{
step ++;
turn (i + 1, j);
}
bool dark = false;
for (int j = 0; j < 5; j ++ )
if (g[4][j] == '0')
{
dark = true;
break;
}
if (!dark) res = min(res, step);
memcpy (g, backup, sizeof g);
}
if(res > 6) res = -1;
cout << res << endl;
}
return 0;
}