#PEG SOLITAIRE SOLVING ALGORITHM HOW TO#

There is a variety of methods to estimate how 'promising' a given board is. The A* algorithm turned out to be very good with a sufficiently fine tuned heuristic. On some boards DFS happened to find a solution relatively quickly (for example in the original board) and on others very slowly. The performance varied across different board sizes and shapes. Observe that this rules out BFS, UCS and iterative deepening: we know all goals are in the deepest level, so those algorithms would be extremely inefficient. The goals are exactly the vertices with distance 31 from the root. Consider the following:Д¬ombining these, we see that a solution must contain exactly 31 actions and any path of length 31 is a solution. Indeed, we will see that searching works well and solves the game in a very reasonable time.Д«efore we describe each search algorithm used, we make an important observation about the game's search graph. The game is very suitable for searching: we have a well defined initial state, goal and transitions. We compare several search methods, and show their performance on the original problem and on some variations (different board size/shape). In our project, we have studied this problem and implemented several AI algorithms from class to solve it. The goal of the game is to play until only one peg is left. The peg which was jumped over is removed from the board. A peg can only move into a vacant position, which is two positions away from it (horizontally or vertically, but not both), while jumping over another peg. On each turn, the player takes a peg and moves it. It is a simple one player board game, and a very interesting challenge in terms of AI. This will be updated every time I drill deeper into a solution.We chose to solve the game Peg Solitaire, and some generalizations of it. SolutionCount = 0 - I want to keep track of the number of moves I have made in total. This list of all the moves to reach a solution I will store in a list called storeBoards. If I reach a dead end, I will delete the move that took me there. This means that when I find a solution I have a list of all the moves I made to get there. StoreBoards = - I want to keep track of the moves I have made en route to a solution. This allows me to store the co-ordinates of each hole on the board alongside the information explaining if there is a peg or not at that location. This would be an ideal puzzle to solve using Python.ДЇirst of all I am going to show you my program in its entirety, and then take you through the programming of it line by line.ДЇrom _future_ import print_function #Allows python3 use of print() import copy import datetime #Global Constants WIDTH = 7 HEIGHT = 7 CORNERSIZE = 2 #Global Variables gameBoard = - I am going to store my board in a dictionary. It's one of those things I have played with every so often, but never really tried to work out. My son started to play with Pin Solitaire at a friends house one day, and I gave him a hand explaining the game. More for my knowledge than anything else.

#PEG SOLITAIRE SOLVING ALGORITHM HOW TO#

It turned out just learning how to actually do the Rubiks cube is much easier than you think! However, in the process, I had learnt a little about Breadth-first search and Depth-first search, and thought it would be great to solve a problem using one of these methods. It turns out the god number is 20.ДЄt this point I put the Python solution for the Rubiks cube aside, at least temporarily. This is the minimum number of moves needed to solve a Rubiks cube from any position. Finally I realised Google had thrown their weight behind the puzzle, and determined the 'god' number. and then I started to research how difficult a task it really was. I, naively, thought it would be a simple matter to churn through all the available options until the program stumbled across the solution.

One of my earlier forays into solving a puzzle using Python was to solve the Rubiks cube. There is something hugely satisfying about finding the solution to a puzzle. I am a huge fan of puzzles, and think that my love of programming comes from that enjoyment.

Peg solitaire solving algorithm