import sys
input = sys.stdin.readline
from collections import *

for _ in range(int(input())):
    A, B, C = map(int, input().split())
    cnt02 = min(A, C)
    ans = 2*cnt02
    A -= cnt02
    C -= cnt02
    ans += C//2
    ans += B//2*2
    
    if A>0 and B%2==1:
        ans += 1

    print(ans)