from sys import stdin
n=int(stdin.readline().strip())
for i in range(n):
    a,b,c=map(int,stdin.readline().strip().split())
    ans=0
    while c>=2 and b>=1:
        c-=2
        b-=1
        ans+=3
    while b>=2 and a>=1:
        b-=2
        a-=1
        ans+=3
    print(ans)
