When Mr. Maggs replied, "No way, I'm sure," he was not saying that the
thing was impossible, but was really giving the actual route by which
the problem can be solved. Starting from the star, if you visit the
towns in the order, NO WAY, I'M SURE, you will visit every town once,
and only once, and end at E. So both men were correct. This was the
little joke of the puzzle, which is not by any means difficult.