#include <iostream>
using namespace std;
int t, a, b, c, s;
int main() {
cin >> t;
for (int p = 0; p < t; p++) {
cin >> a >> b >> c;
s = min(b, (c/2));
c -= (s*2);
b -= s;
s += min(a, (b/2));
cout << s*3 << endl;
}
return 0;
}
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