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

            
except EOFError:
    pass
        
        