def solve():
    A,B,C=map(int,input().split())

    ans=0

    X=min(A,C); ans=2*X
    A-=X; C-=X
    ans+=2*(B//2); B%=2
    ans+=min(A,B)
    return ans

#==================================================
import sys
input=sys.stdin.readline
write=sys.stdout.write

T=int(input())
write("\n".join(map(str,[solve() for _ in range(T)])))