def f():
	a,b,c=map(int,input().split())
	ans=0
	d1=min(a,c)
	ans=d1*2
	a-=d1
	c-=d1
	ans+=b//2*2+c//2*2
	b=b%2
	ans+=min(a,b)
	print(ans)
m=int(input())
for _ in range(m):
	f()