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