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

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

	typedef unsigned long long ll;
	for( int i = 0; i < T; i++ ) {
		ll A, B, C;
		cin >> A >> B >> C;
		ll ans = 0;
		ll ac = min( A, C );
		ans += ac * 2;
		if( ac == C ) {
			ll ra = A - ac;
			ans += B / 2 * 2;
			ll rb = B % 2;
			ans += min( ra, rb );
		}
		else {
			ll rc = C - ac;
			ans += rc / 2;
			ans += B / 2 * 2;
		}
		cout << ans << endl;
	}
}