T=int(input())
for i in range(T):
 A,B,C=map(int,input().split())
 res=0
 x=min(A,C)
 res+=x*2+(B//2)*2
 B%=2
 A-=x
 C-=x

 y=min(A,B)
 res+=y+C//2
 print(res)