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