#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ull unsigned ll
#define ld long double
typedef vector<int> vi;
typedef multiset<int> mi;
typedef multiset<ll> mll;
typedef vector<ll> vll;
typedef vector<bool> vb;
typedef vector<string> vs;
typedef set<ll> sll;
typedef vector<vector<int>> _2vi;
typedef vector<vector<ll>> _2vll;
#define all(v) ((v).begin()), ((v).end())
#define sz(v) ((ll)((v).size()))
#define vinp(v, n) \
for (ull i = 0; i < (n); i++) \
cin >> (v)[i]
#define printv(v) \
for (auto i : (v)) \
cout << i << " "
#define fr0(i, n) for (ull(i) = 0; (i) < (n); (i)++)
#define fr1(i, n) for (ull(i) = 1; (i) < (n); (i)++)
#define fr(i, x, n) for (ull(i) = (x); (i) < (n); (i)++)
#define _CRT_SECURE_NO_WARNING
const ll MOD = 1000000007;
void Bustany() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
#ifndef ONLINE_JUDGE
freopen("./in.txt", "r", stdin), freopen("./out.txt", "w", stdout);
#endif
}
const ll N = 1e5 + 5;
ll n, k;
vector<sll> adj(N);
//_2vll adj(N,vll(N));
vb vis;
void solve() {
ll a, b, c;
cin >> a >> b >> c;
//25 10 5
ll x = 0;
ll sum = 0;
//25 + 10 + 5
x = min({a, b, c});
a -= x;
b -= x;
c -= x;
sum += x;
//25 + 5 + 5 + 5
x = min({c, a / 3});
c -= x;
a -= (x * 3);
sum += x;
//10 + 10 + 10 + 10
x = b / 4;
b -= (x * 4);
sum+=x;
//10 + 10 + 10 + 5 + 5
x = min({b / 3, a / 2});
b -= (x * 3);
a -= (x * 2);
sum+=(x);
//10 + 10 + 5 + 5 + 5 + 5
x = min({b / 2, a / 4});
b-=(x*2);a-=(x*4);
sum+=x;
//10 + 5 + 5 + 5 + 5 + 5 + 5
x = min({b, a / 6});
a-=(x*6);
b-=x;
sum+=x;
//5 + 5 + 5 + 5 + 5 + 5 + 5 + 5
x = a / 8;
sum+=x;
cout << sum<<endl;
}
int main() {
Bustany();
ll t = 1;
cin >> t;
while (t--) {
solve();
}
}
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