import sys
import math
import itertools
import collections

def getdict(n):
    d = {}
    if type(n) is list or type(n) is str:
        for i in n:
            if i in d:
                d[i] += 1
            else:
                d[i] = 1
    else:
        for i in range(n):
            t = ii()
            if t in d:
                d[t] += 1
            else:
                d[t] = 1
    return d
def cdiv(n, k): return n // k + (n % k != 0)
def ii(): return int(input())
def mi(): return map(int, input().split())
def li(): return list(map(int, input().split()))
def lcm(a, b): return abs(a*b) // math.gcd(a, b)
def wr(arr): return '\n'.join(map(str, arr))
def revn(n): return int(str(n)[::-1])
def prime(n):
    if n == 2: return True
    if n % 2 == 0 or n <= 1: return False
    sqr = int(math.sqrt(n)) + 1
    for d in range(3, sqr, 2):
        if n % d == 0: return False
    return True


t = ii()
for i in range(t):
    a, b, c = mi()
    ans = 0
    d = min(b, c // 2)
    ans += d * 3
    b -= d
    e = min(a, b // 2)
    ans += e * 3
    print(ans)