#include <bits/stdc++.h>

using namespace std;

void turn(vector<int> &v, int i, int j) {
    v[i] = v[i] ^ (1 << j);
    if (i - 1 >= 0) v[i - 1] = v[i - 1] ^ (1 << j);
    if (i + 1 < 5) v[i + 1] = v[i + 1] ^ (1 << j);
    if (j - 1 >= 0) v[i] = v[i] ^ (1 << (j - 1));
    if (j + 1 < 5) v[i] = v[i] ^ (1 << (j + 1));
}

int main() {
    int tt;
    cin >> tt;
    while (tt--) {
        int mn = 26;
        vector<int> v;
        for (int i = 0; i < 5; ++i) {
            string s;
            cin >> s;
            bitset<5> b(s);
            v.push_back(b.to_ulong());
        }
        for (int i = 0; i < (1 << 5); ++i) {
            vector<int> tmp = v;
            int res = 0;
            for (int j = 0; j < 5; ++j) {
                int t = (i >> j & 1);
                if (t == 1) turn(tmp, 0, j), res++;
            }
            for (int j = 0; j < 4; ++j) {
                if (tmp[j] != (1 << 5) - 1) {
                    for (int k = 0; k < 5; ++k) {
                        int t = (tmp[j] >> k & 1);
                        if (t == 0) turn(tmp, j + 1, k), res++;
                    }
                }
            }
            if (tmp[4] == (1 << 5) - 1) mn = min(mn, res);
        }
        if (mn <= 6) cout << mn << endl;
        else cout << -1 << endl;
    }
    return 0;
}