#include <bits/stdc++.h>

int main() {
    int T; long long A, B, C;
    scanf("%d", &T);
    while (T--) {
        scanf("%lld%lld%lld", &A, &B, &C);
        long long ans = 0, t = 0;
        t = B / 2; ans += 2 * t; B = B - 2 * t;
        t = std::min(A, C); ans += 2 * t; A -= t; C -= t;
        t = std::min(A, B); ans += t; A -= t; B -= t;
        t = C / 2; ans += t; C = C - 2 * t;
        printf("%lld\n", ans);
    }
}