#pragma region Macros

#include <bits/extc++.h>
using namespace std;
using namespace __gnu_pbds;
// using namespace __gnu_cxx;

#define TO_STRING(var) # var
#define pb emplace_back
#define int ll
#define endl '\n'

using ll = long long;
using ld = long double;
const ld PI = acos(-1);
const ld EPS = 1e-10;
const int INF = 1 << 30;
const ll INFL = 1LL << 62;
const int MOD = 998244353;
// const int MOD = 1000000007;

int ceil(int x, int y) {return (x > 0 ? (x + y - 1) / y : x / y);}
int POW(int x, int y) {
    if (y != (int)(y) or y < 0 or x != 0 && x != 1 && y > 64) {cout << "Error" << endl;return 0;}
    if (y == 0) return 1;
    if (y % 2 == 0) return POW(x * x, y / 2);
    return x * POW(x, y - 1);
}

__attribute__((constructor))
void constructor() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout << fixed << setprecision(15);
}

#pragma endregion

signed main() {
    int T;
	cin >> T;

	for (int i = 0; i < T; i++) {
		int a, b, c;
		cin >> a >> b >> c;

		int ans = 0;
		int a11 = b / 2;
		b %= 2;
		ans += 2 * a11;

		int a02 = min(a, c);
		a -= a02;
		c -= a02;
		ans += 2 * a02;

		int a22 = c / 2;
		ans += a22;

		int a01 = min(a, b);
		ans += a01;

		cout << ans << endl;
	}
}