import sys
input = sys.stdin.readline
T=int(input())

for _ in range(T):
    A,B,C=map(int,input().split())
    ans=min(A,C)*2
    A-=ans//2
    C-=ans//2
    ans+=B//2*2
    B%=2
    if B==1 and A>0:
        ans+=1
        A-=1
    ans+=C//2
    print(ans)