import sys
input = lambda: sys.stdin.readline().rstrip()
ii = lambda: int(input())
mi = lambda: map(int, input().split())
li = lambda: list(mi())
inf = 2 ** 63 - 1
mod = 998244353

for _ in range(ii()):
    a, b, c = mi()
    ans = 0
    two = min(a, c)
    a -= two
    c -= two
    ans += 2 * two
    two = b // 2
    b -= 2 * two
    ans += 2 * two
    one = c // 2
    c -= 2 * one
    ans += one
    ans += min(a, b)
    print(ans)