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// Author: Olaf Surgut (surgutti)
// Created on 14-03-2025 22:51:18
#include "bits/stdc++.h"
using namespace std;

#define int long long
#define ll long long
#define ld long double

#define endl '\n'
#define st first
#define nd second
#define pb push_back
#define eb emplace_back
#define sz(x) (int)(x).size()
#define all(x) begin(x),end(x)
#define FOR(i,l,r) for(int i=(l);i<=(r);i++)
#define ROF(i,r,l) for(int i=(r);i>=(l);i--)

auto& operator<<(auto &o, pair<auto, auto> p) {
	return o << "(" << p.st << ", " << p.nd << ")";}
auto operator<<(auto &o, auto x)->decltype(end(x), o) {
	o << "{"; int i=0; for (auto e : x) o << ","+!i++ << e;
	return o << "}";}

#ifdef LOCAL
#define debug(x...) cerr << "[" #x "]: ", [](auto...$) { \
	((cerr << $ << "; "),...) << endl; }(x)
#else
#define debug(...)
#endif

#define rep(i,a,b) for(int i = a; i < (b); i++)
using pii = pair<int, int>;
using vi = vector<int>;

const int N = 2e5 + 7;

int n, a[N];

void solve() {
	cin >> n;
	rep(i, 0, n)
		cin >> a[i];
	
	auto check = [&](int x) {
		int left = 0;

		rep(i, 0, n) {
			for (int j = 0; ; j++) {
				int right = x - left - j;
				
				if (right < 0)
					return false;

				if (j * left * right + 
					j * (j - 1) / 2 * (left + right) +
					j * (j - 1) * (j - 2) / 6 >= a[i]) {
					left += j;
					break;	
				}
			}
		}
	
		return true;
	};

	int l = 0, r = n * 183;
	while (r - l > 1) {
		int m = (l + r) >> 1;
		if (check(m))
			r = m;
		else
			l = m;
	}

	cout << r << '\n';
}

signed main() {
	cin.tie(0)->sync_with_stdio(0);

	int tt = 1;
	cin >> tt;
	while (tt--)
		solve();

	return 0;
}