#include<bits/stdc++.h>
using namespace std;
const int INF=1e9;
int solve(vector<int> a, vector<int> x) {
int ret = 0;
for (int ai: a) {
for (int xi: x) {
if (ai>=xi and (ai-xi)%3==0) {
ai -= xi;
}
}
if (ai%3==0) {
ret = max(ret, ai/3);
}
else {
return INF;
}
}
return ret;
}
int main(){
ios::sync_with_stdio(0), cin.tie(0);
int tc; cin >> tc;
while (tc--) {
int n; cin >> n;
vector<int> a(n);
for (int i = 0; i < n; ++i) {
cin >> a[i];
}
int ans = INF;
ans = min(ans, solve(a, {}));
ans = min(ans, solve(a, {1})+1);
ans = min(ans, solve(a, {2})+1);
ans = min(ans, solve(a, {3, 2, 1})+2); // 3=2+1
ans = min(ans, solve(a, {4, 2, 2})+2); // 4=2+2
cout << ans << "\n";
}
return 0;
}
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