N=int(input())
for _ in range(N):
	A,B,C=map(int,input().split())
	ans=0
	p=min(A,C)
	ans+=2*p
	A-=p
	C-=p
	q=B//2
	ans+=q*2
	B-=q*2
	r=min(A,B)
	ans+=r
	A-=r
	B-=r
	ans+=C//2
	print(ans)