English mathematician and puzzle-meister Henry Ernest Dudeney once wrote:
“It may be said generally that a game is a contest of skill for two or more persons, into which we enter either for amusement or to win a prize. A puzzle is something to be done or solved by the individual.
“The example that I give here is apparently a game, but, as in every case one player may win if he only play correctly, it is in reality a puzzle. The interest, therefore, lies in attempting to discover the leading method of play.”
Below is the puzzle game as Dudeney explained it.
Play it for fun at first, then see if you can solve the puzzle.

