5/6/2023 0 Comments Peg solitaire solving javaThis 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. In other words, if you replace a pebble from its position to a nearby empty cell, the middle pebble is removed.I recently started watching History channel’s show Smartest Guy in the Room. You can remove a pebble by moving any of its nearby pebble to a nearby empty cell/hole. The objective of the game is to remove as much pebbles/pegs as you can. The following matrix illustrates the initial board layout of classic Peg Solitaire. ![]() The following matrix illustrates the initial board layout of BrainBoard. Before the game starts, the initial board of Peg Solitaire contains 32 pegs with an empty hole at the center, whereas BrainBoard game starts with 36 pebbles and 9 empty holes. BrainBoard contains 45 holes, whereas Peg Solitaire contains 33 holes. ![]() BrainBoard uses 9x9 matrix and removes 3x3 matrix in all four corners. The original Peg Solitaire board uses 7x7 matrix and removes 2x2 matrix in all four corners. If anybody can achieve one pebble at end of the game, please comment in this article. Also, it is not yet sure whether the number of pebbles can be reduced to less than two in the game. The board layout of BrainBoard is much difficult to solve than the original board layout of Peg Solitaire. But BrainBoard is developed as a learning curve for Silverlight programming and full source code is released here. This modified version is named differently in different regions. The original name of the game is Peg Solitaire it is also referred to as "Brainvita". This game is developed as a learning curve for Silverlight.
0 Comments
Leave a Reply. |