import sys
input=sys.stdin.readline
'''
from math import ceil
from collections import defaultdict, Counter
from heapq import nlargest,nsmallest
map(int,input().split())
'''
for i in range(int(input())):
    a,b,c = map(int,input().split())
    res = 0
    while b >= 1 and c >= 2:
        res+=3
        b-=1;c-=2
    while a >=1 and b >= 2:
        res+=3
        a-=1;b-=2
    print(res)
