t = int(input())
for i in range(t):
    c,a,b = map(int,input().split())
    res = 0
    res = a//2 * 2
    a -= a//2 * 2
    min_bc = min(b,c)
    res += min_bc * 2
    b -= min_bc
    c -= min_bc
    if b:res += b//2
    if c:res += min(a,c)
    print(res)
#     print(a,b,c)