for _ in range(int(input())):
    a,b,c=list(map(int,input().split()))
    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)
