#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using a2 = array<ll, 2>;
using a3 = array<ll, 3>;

template <typename A>
void chmin(A &l, const A &r) {
    if (r < l)
        l = r;
}
template <typename A>
void chmax(A &l, const A &r) {
    if (l < r)
        l = r;
}

ll mod = 998244353;

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);

    ll t;
    cin >> t;
    for (int tt = 0; tt < t; tt++) {
        string s;
        cin >> s;
        sort(s.begin(), s.end());
        bool ok = false;

        do {
            ll n = stoll(s);
            for (ll i = sqrt(n) - 1; i <= sqrt(n) + 1; i++) {
                if (i * i == n) {
                    ok = true;
                }
            }
            if (ok) {
                cout << n << endl;
                break;
            }
        } while (next_permutation(s.begin(), s.end()));

        if (!ok)
            cout << -1 << endl;
    }

    return 0;
}