![]() The game features 13 layouts, each having a different solution: Standard, Square, European, Asymmetric, Rhombus, German, Triangle, Diamond, Snowflake, Hexagonal, Star, Pyramid, and Trapezoid. A mouse click selects a peg, then select an empty space to move to. Hopefully this will inspire you to solve similar problems. Use the mouse to select pegs and move them around. So here you have a clear example of Transfer of Learning. Here you could check the solution found by the above scripts: Here a relevant bit from the C++ code: if (( j + 2 ) < 7 & M = 1 & M = 0 ) (the refactor is not complete, so feel free to improve the solution and submit a pull request). For instance, for the position within the matrix a valid movement Peg Solitaire (also known as Hi-Q) is played on an n × n grid of holes, typically arranged in the shape of a cross (although other shapes can be used). Regarding movements for a given position within the matrix we should check all possible The hardest place to begin is with the missing peg at one of the green interior holes. I then assigned some numeric codesĭepending on if the peg is present (1), not present (0) and if the position is outside of The easiest place to begin the game is with the missing peg (hole) at one of the blue midpoint locations. We could just model the board as a 7x7 matrix. So the only missing thing was how to model the Peg Solitaire board and its movements. Where it can’t a find solution it “goes back” and tries a new path. You to explore all possible solutions for a given problem. ![]() There was an “Aha!” moment when I learntĪbout some algorithmic technique called Backtracking. My first adventures on programming with C++. But then, some years later I started at the University with To find a solution and my best score was having 2 pegs left. When I was a kid I struggled with Peg Solitaire. Pseudo code alone is enough to put me on the right track.Solving the Peg Solitaire with Backtracking I'm coding in Java, but since this is a bit vague I'm only expecting pseudo code answers. Changing my jump() function could potentially affect my heuristic. Steps 1 The board has the form of a plus sign + 2 The goal is to jump a peg over another peg onto a hole. The objective is to clear the board of all the pegs except one. There are pegs in all the holes except one. This is for a school project so I have to implement an uninformed search and a heuristic search algorithm. Peg Solitaire (Sailor's Solitaire) is a very popular single player game played with a board having holes in the pattern of a plus sign. I would have to change it to take the start and end position desired for each jump, which is easy enough to change, but I don't know if its better or worse for the algorithm. Is recursion a good method to solve this puzzle? My jump function currently works by only asking for the position you would want to jump to. Between backtracking and updating the current peg I'm lost.ĭoes all of this sound too complicated? Should I just remove the moves and sCpeg() options and have the search algorithm randomly jump until a solution is found? When I was writing this idea out it sounds like a perfect example to use recursion on except I don't know how to properly use recursion in this scenario. If a solution is not found backtrack, update the current peg and repeat the process. It's done as a very basic heuristic for what I hope to be a search algorithm: Explore all the possible jumps available with one peg. Every time you change the current peg and use it to jump that counts as a move. I connected this to a moves variable for the purpose of solving it. In my code for the game board object I have a function sCpeg(int a, int b) which changes the peg you are currently using to jump. You take one peg and jump it over another into an empty hole and the goal is to have only one peg left. ![]() ![]() Everyone knows of the cracker barrel triangle peg solitaire game.
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