t=int(input())
while(t):
    t=t-1
    a,b,c=input().split()
    a=int(a)
    b=int(b)
    c=int(c)
    s=0
    while b>=1 and c>=2:
        s=s+3
        b=b-1
        c=c-2
    while a>=1 and b>=2:
        s=s+3
        a=a-1
        b=b-2
    print(s)