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

int main()
{
	int t;
	cin >> t;
	int64_t a, b, c;
	int64_t ans;
	for(int test = 0; test < t; test++)
	{
		cin >> a >> b >> c;
		ans = 0;
		
		ans += b / 2 * 2;
		b %= 2;
		
		if(a <= c)
		{
			ans += a * 2;
			c -= a;
			a = 0;
		}
		else
		{
			ans += c * 2;
			c = 0;
			a -= c;
		}
		
		if(a == 0) ans += c / 2;
		else if(b == 1) ans++;
		
		cout << ans << endl;
	}
	return 0;
}