from re import A
import sys
#input = sys.stdin.readline
#input = sys.stdin.buffer.readline #文字列はダメ
#sys.setrecursionlimit(1000000)
#import math
import bisect
#import itertools
#import random
#from heapq import heapify, heappop, heappush
from collections import defaultdict
#from collections import deque
#import copy #DeepCopy: hoge = [_[:] for _ in hogehoge]
#from functools import lru_cache
#@lru_cache(maxsize=None)
MOD = pow(10,9) + 7
#MOD = 998244353
#dx = [1,0,-1,0]
#dy = [0,1,0,-1]
#dx8 = [1,1,0,-1,-1,-1,0,1]
#dy8 = [0,1,1,1,0,-1,-1,-1]


def main():
    T = int(input())
    for _ in range(T):
        a,b,c = map(int,input().split())
        ans = 0

        # 1,1
        ans += (b//2)*2
        b %= 2
        if c >= a: #2が0より多い
            ans += 2*a
            c -= a
            a = 0
        else: #0が多い
            ans += 2*c
            a -= c
            c = 0
        # print(ans,a,b,c)
        # 1,0
        ans += min(a,b)
        # 2,2
        ans += c//2

        print(ans)


if __name__ == '__main__':
    main()