Picture three men racing through a tall hedge maze.
The first man runs off and begins following paths randomly, hoping to stumble upon the exit.
The second man is more methodical. He puts one hand on a wall of the maze and resolves to keep moving forward slowly, never taking his hand off the wall. Eventually, thanks to the rules of topology, he knows he’ll find the outside.
The third man pushes and shoves directly through the hedges in a straight line, finishing in thirty seconds flat and declaring himself the winner.
Did the third man cheat?
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