#!/usr/bin/python
# -*- coding: utf-8 -*-

# import
from sys import stdin, setrecursionlimit
setrecursionlimit(10**8)

def int_map():
    return map(int,input().split())

def int_list():
    return list(map(int,input().split()))

def int_mtx(N):
    x = [list(map(int, stdin.readline().split())) for _ in range(N)]
    return x

def str_mtx(N):
    x = [list(stdin.readline()[:-1]) for _ in range(N)]
    return x

def print_space(l):
    return print(" ".join([str(x) for x in l]))



"""    main code    """



T = int(input())

for _ in range(T):
    a,b,c = int_map()
    ans = 0
    ans += 2*(b//2)
    b = b%2

    m = min(a,c)
    ans += 2*m

    a -= m
    c -= m

    if a == 0:
        ans += c//2
        print(ans)
    elif a > 0:
        ans += min(a,b)
        print(ans)