# cook your dish here
n=int(input())
for i in range(n):
    a,b,c=map(int,input().split())
    count=0
    for j in range(max(a,b,c)):
        if a>=1 and b>=2:
            a=a-1
            b=b-2
            count+=1
        if b>=1 and c>=2:
            b=b-1
            c=c-2
            count+=1
    print(count*3) 