A craftsman is asked to manufacture three universal weights so that, using only these weights and a simple balancing scale, it will be possible to measure any mass of consequtive integer number of
grams, starting from 1 gram, 2 grams, etc., up to a maximum possible mass of N grams. It is allowed
to place any of the three weights in any of the sides of the balancing scale, or to put any of them
aside. What is the greatest possible mass, N grams, that one can measure, given these requirements?
(A) 6 g
(B) 78
(C) 9g
(D) 10 g
(E) 13 g