T = int(input())
for _ in range(T):
    a,b,c = map(int,input().split())
    n2 = min(a,c)
    c1 = c-n2
    a1 = a-n2
    b1 = b%2
    n1 = min(a1,b1)
    print(2*n2+2*(b//2)+n1+c1//2)