for _ in range(int(input())):
    #print("---")
    A,B,C = map(int,input().split())
    ans = 0
    ans += (B // 2) * 2
    B %= 2
    #print(A,B,C,ans)
    m = min(A,C)
    ans += m * 2
    A -= m
    C -= m
    #print(A, B, C, ans)
    m = min(A,B)
    ans += m
    A -= m
    B -= m
    #print(A, B, C, ans)
    ans += (C // 2) * 2
    #print(A, B, C, ans)
    print(ans)