#include <bits/stdc++.h>
using namespace std;

#ifdef _RUTHEN
#include <debug.hpp>
#else
#define show(...) true
#endif

using ll = long long;
#define rep(i, n) for (int i = 0; i < (n); i++)
template <class T> using V = vector<T>;

void solve() {
    V<ll> D(3);
    rep(i, 3) cin >> D[i];
    show(D);
    V<pair<int, int>> P = {{0, 0}, {0, 1}, {0, 2}, {1, 1}, {1, 2}, {2, 2}};
    ll ans = 0;
    do {
        // show(P);
        auto DC = D;
        ll cur = 0;
        for (auto [a, b] : P) {
            if (a != b) {
                ll mn = min(D[a], D[b]);
                ll s = (a + b) % 3;
                cur += mn * s;
                D[a] -= mn;
                D[b] -= mn;
            } else {
                ll c = D[a] / 2;
                ll s = (a + b) % 3;
                cur += c * s;
                D[a] -= c * 2;
            }
        }
        ans = max(ans, cur);
        show(D);
        D = DC;
    } while (next_permutation(P.begin(), P.end()));
    cout << ans << '\n';
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    int tt;
    cin >> tt;
    while (tt--) solve();
    return 0;
}