![]() This is demonstrated in the image below with a partial graph of 4 different moves. Most games of this nature can be modeled as a graph where each state of the board is a node in a graph and there’s an edge between two nodes (states) if there’s a legal move that would transpose the game board state into another. So how do we do that? Solving Peg Solitaire I decided to test whether this is the case by writing a computer program to solve all possible versions of the game. Now, this game has been around since the 1600s, so I was sure someone has already figured this out, but what fun would that be? To me, this statement implied that there could be a certain peg removal at the very start of the game that would make it impossible to win. This question is what really peaked my interest in this game and is the subject of today’s blog post. Is it better to remove your first peg from the edges, the corners, or the center? When Randy was explaining the rules of the game, he posed this question to the at home audience: the first decision you have to make, is it better to remove your first peg from the edges, the corners, or the center? What would your strategy be? In the second image, we’ve jumped the light gray peg into the red hole in an upper left move, and then light gray to red hole in the final image in a horizontal move. The middle peg has been removed to start the game. There’s situations where you will get stuck because you can only jump into an empty space and you can’t jump an existing space.Īn example start configuration is shown below, along with two moves. You start the game by removing one peg, any peg you choose, then you continue to jump over other pegs to remove them. The version that is featured in the show is a triangle with 15 pegs. I’ve seen this game many times, but never actually played it. In Episode 10, How to Miss a Hole in One, besides showing off his impressive mini-golf skills, Randy Rice challenges the guys to a life size version of Peg Solitaire. They even did a paper airplane making competition! Not to brag, but I did win a paper airplane making contest in grade 7. I like to pause the screen and try to solve the puzzles before the solution is revealed. They also feature quite a few challenges that you can do at home. The show breaks down the science or theory of each challenge, often diving into how the brain processes certain types of information. It’s a really fun show and in some respects reminds me of Myth Busters. If one of the two solve the challenges, then they get the title for that episode. If the challenge designer stumps them, he gets the title of “Smartest Guy in the Room”. Each episode one of the three designs two challenges in an attempt to stump the other two. The basic premise of the show is there’s three kind of regular guys with regular jobs, but each of them have high IQs. I recently started watching History channel’s show Smartest Guy in the Room.
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