#include <bits/stdc++.h>
using namespace std;
#define int long long int
#define double long double
#define print(a) for(auto x : a) cout << x << " "; cout << endl
const int M = 1000000007;
const int N = 3e5+9;
const int INF = 2e9+1;
const int LINF = 2000000000000000001;
inline int power(int a, int b, int mod=M) {
int x = 1;
a %= mod;
while (b) {
if (b & 1) x = (x * a) % mod;
a = (a * a) % mod;
b >>= 1;
}
return x;
}
//_ ***************************** START Below *******************************
vector<int> a;
bool isPossible(int n, int mid){
vector<int> b(a);
for(int i=n-1; i>=2; i--){
int dif = b[i] - mid;
int d = min(a[i], dif)/3;
if(dif<0) return false;
b[i-2] += 2*d;
b[i-1] += d;
b[i] -= 3*d;
}
for(int i=0; i<n; i++){
if(b[i] < mid) return false;
}
return true;
}
int consistency(int n){
int s = 0, e = INF;
while(s<e){
int mid = s + (e-s+1)/2;
if(isPossible(n, mid)){
s = mid;
}
else{
e = mid-1;
}
}
return s;
}
int practice(int n){
return 0;
}
void solve() {
int n;
cin>> n;
a.resize(n);
for(int i=0; i<n; i++) cin >> a[i];
cout << consistency(n) << endl;
}
int32_t main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int t = 1;
cin >> t;
while (t--) {
solve();
}
return 0;
}
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