"This problem has been dubbed by experts the champion 'coffee and cake' problem. This means that you can set this problem up for your friends and bet them coffee and cake that they cannot win it."
I bet Brian Hinkle coffee and cake, and not surprisingly, I now owe him! But can you win it? Give it a good try and then treat yourself to coffee and cake no matter the outcome.
You can view an animated solution here. Did you win coffee and cake?