If a problem is compared to a maze, one could “solve” it by walking around its border without ever entering, if the relevant rules did not forbid it. To some that would be the height of intellectual dishonesty. They would call this ‘cheating’. Maybe they are right, but we should not think the “solution” a cheat if the maze has no exit, for it is a solution to a different problem, namely that of progressing from point A to B, rather than traversing a maze. It is an optimum in a different context. In other words, if one sees that the maze has no exit, is therefore unsolvable by traditional methods besides walking around or knocking down walls.