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#include <iostream>
#include <vector>
#include <cmath>
#include <climits>

using namespace std;

using ll = long long;

ll choose_limit = 200; // change to 200

vector<ll> choose3(choose_limit + 1);
vector<ll> choose2(choose_limit + 1);

void gen_choose() {
    choose3[0] = 0;
    choose3[1] = 0;
    choose3[2] = 0;
    choose2[0] = 0;
    choose2[1] = 0;

    for (ll i = 2; i <= choose_limit; i++) {
        choose2[i] = choose2[i - 1] + i - 1;
    }

    for (ll i = 3; i <= choose_limit; i++) {
        choose3[i] = choose3[i - 1] + choose2[i - 1];
    }
}

ll get_lower_bound(ll x) {
    ll y = static_cast<ll>(cbrt(6.0 * x));
    while ((y * (y - 1) * (y - 2)) / 6 < x) {
        y++;
    }

    return y;
}

ll get_produced_games(ll x, ll t, ll u) {
    // maximum_used_choose = max(maximum_used_choose, x);
    ll term1 = choose3[x];
    ll term2 = choose2[x] * (t - x);
    ll term3 = x * u * (t - u - x);

    return (term1 + term2 + term3);
}

bool check_constraint(ll x, ll t, ll u, ll c) {
    return get_produced_games(x, t, u) >= c;
}

int main() {
    gen_choose();

    int tests;

    cin >> tests;

    while (tests--) {
        ll n;
        // n = 2;
        n = 10000;
        cin >> n;

        vector<ll> c(n);
        vector<ll> p(n);

        for (ll i = 0; i < n; i++) {
            // c[i] = 1000000;
            cin >> c[i];
            // c[0] = 4;
            // c[1] = 4;
            // c[2] = 4;
            // c[3] = 3;
            // c[4] = 0;
            // c[5] = 60;
            // c[6] = 70;

            // c[0] = 57;
            // c[1] = 20;
            // c[2] = 30;
            // c[3] = 40;
            // c[4] = 50;
            // c[5] = 60;
            // c[6] = 70;
        }

        ll min_games_from_constraints = 0;

        for (ll i = 0; i < n; i++) {
            min_games_from_constraints += c[i];
        }

        ll lower_bound = get_lower_bound(min_games_from_constraints);

        ll sum = 0;
        vector<ll> g(n);
        ll u = 0;

        ll t;
        ll left = lower_bound;
        ll right = 250000;
        ll min_t = LONG_LONG_MAX;

        while (left <= right) {
            t = (left + right) / 2;
            bool found_x = false;
            u = 0;

            // cout << "L: " << left << ", R: " << right << endl;
            // cout << "Trying t: " << t << endl;

            for (ll i = 0; i < n; i++) {
                found_x = false;
                // cout << "Analyzing house: " << i << endl;
                // cout << "Need games: " << c[i] << endl;
                ll x = 0;

                for (x; x <= t - u; x++) { // potential binary search here as well
                    // cout << "Trying x: " << x << endl;

                    if (check_constraint(x, t, u, c[i])) {
                        // cout << "Works x: " << x << endl;
                        found_x = true;
                        break;
                    }
                    else {
                        // cout << "Does not work x: " << x << endl;
                    }
                }

                if (!found_x) { // not enough players, try different t
                    // cout << "Not enough players, change t = " << t << endl;
                    break;
                }

                if (i == n - 1) { // use all people at the last house
                    x = t - u;
                }

                // cout << "Setting p[" << i << "] to " << x << endl;
                p[i] = x;
                u += x;
            }

            if (found_x) { // t works
                min_t = min(min_t, t);
                right = t - 1;
            }
            else { // t doesn't work
                left = t + 1;
            }
        }

        // min_t!

        // assuming we always find a solution
        // u = 0;
        // for (ll i = 0; i < n; i++) {
        //     cout << p[i] << " " << get_produced_games(p[i], min_t, u) << endl;
        //     u += p[i];
        // }
        cout << min_t << endl;
        // cout << "Min games required: " << min_games_from_constraints << endl;
        // cout << "Lower bound: " << lower_bound << ", as (" << lower_bound << " 3) = " << choose3[min(choose_limit, lower_bound)] << endl;
        // cout << "Actual players: " << min_t << ", allows (" << min_t << " 3) = " << choose3[min(choose_limit, min_t)] << endl;
        // cout << "maximum_used_choose: " << maximum_used_choose << endl;
    }

    return 0;
}