t=int(input())
for ele in range(0,t):
a,b,c=map(int,input().split())
x=min(b,c//2)
y=min(a,(b-x)//2)
print((x+y)*3)
115A - Party | 746B - Decoding |
1424G - Years | 1663A - Who Tested |
1073B - Vasya and Books | 195B - After Training |
455A - Boredom | 1099A - Snowball |
1651D - Nearest Excluded Points | 599A - Patrick and Shopping |
237A - Free Cash | 1615B - And It's Non-Zero |
1619E - MEX and Increments | 34B - Sale |
1436A - Reorder | 1363C - Game On Leaves |
1373C - Pluses and Minuses | 1173B - Nauuo and Chess |
318B - Strings of Power | 1625A - Ancient Civilization |
864A - Fair Game | 1663B - Mike's Sequence |
448A - Rewards | 1622A - Construct a Rectangle |
1620A - Equal or Not Equal | 1517A - Sum of 2050 |
620A - Professor GukiZ's Robot | 1342A - Road To Zero |
1520A - Do Not Be Distracted | 352A - Jeff and Digits |