#include <algorithm>
#include <iostream>
#include <map>
#include <queue>
#include <vector>
using namespace std;
void slove() {
long long t, h, u;
long long result = 0;
cin >> t >> h >> u;
result += min(t, u) * 4LL;
long long m = min(t, u);
t -= m;
u -= m;
if (t != 0) {
if (h != 0) {
m = min(h, t / 2);
result += 7LL * min(h, t / 2);
t -= 2 * m;
h -= m;
if (t % 2 == 1 && h > 0) {
result += 5LL * min(h, 1LL);
t -= 1;
h -= 1;
}
}
if (t != 0)
result += 2LL * (t) + 1;
}
result += 3LL * (u + h);
cout << result << "\n";
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int t;
cin >> t;
while (t--) {
slove();
}
return 0;
}