5/31/2023 0 Comments Mod of peg solitaire![]() I suppose that I was actually quite lucky with the standard move ordering that I was using. It is not nice nor efficient, but surprisingly finds the solution in less than a second. The code is attached at the end of this post. Since I could never solve the game myself I decided to write a solver for the problem. When I started programming a few years ago, English peg solitaire was one of my first projects. The solution for the diamond shaped board is even more tricky. Many players need quite a few attempts in order to find the solution for the English peg solitaire. The English variant is shown in the figure below.Įven though the rules of the game are rather simple, finding a solution is not trivial. The English variant, as shown below, has one additional rule: In order to win, it is not sufficient that only one peg is left in the end this peg also has to be located in the center of the board. This is the case when there is no pair of pegs which are orthogonally adjacent or if only one peg is left. Once no move is possible any longer, the game is over. So, in each move, one peg jumps 2 holes further and the peg in-between is removed. The neighboring peg is then removed, leaving an empty hole. In each move the player selects one peg and jumps – either vertically or horizontally, not diagonally – with this peg over a directly neighboring one into an empty hole. For example, the English variant consists of 33 holes while the typical diamond variant consists of 41 holes. The number of holes depends on the board variant. Peg solitaire is a one-player game played on a board with holes and pegs. Many of us might now the board game peg solitaire and might even have one of its many variants at home. Solving Peg Solitaire with efficient Bit-Board Representations Graphs are made by using the appropriate function from factory. Use the -h or -help arguments for a view of all arguments. Peg-solitaire-path(5)-colorset(3)-range.xlsx Use the -e argument to switch to a descriptive form. In addition, the file name is in a compact form by default. Time - the number of hours, minutes, and seconds the program played the game.Sections - the number of configuration sets (a group based on the graph size and the number of colors).Size - the number of vertices for the graph.Lost - the number of games determined to be not winnable.Won - the number of games determined to be winnable.Played - the number of games played (obtained from -range or Total).Total - the number of games available to play for the given graph size and the number of colors.The generated excel file will contain the statistics from the output in the form of the table below. Generating File: ps-p(5)-z(3)-r.xlsxĬonfiguration Section (1): Playing. $ python3 configuration.py -type path -size 5 -colorset 3 Here is the output when running configuration. For example, if the -colorset parameter is not specified, then internally, n = 3. Note: If a parameter is omitted, then it will be set to a default value. This will have the program simulate playing the game with the specified parameters and show possible results.įinally, similar to the result in "example - main", if the games are winnable, then the generated excel file will contain the steps on how to win. The total number of games can be referenced from the output of the -dry-run argument. Valid values are between 1 and Total (inclusive). That is, the program will build all possible arrangement of pegs based on the graph size and the number of colors chosen.īy using the -range argument, the program will play the specified subset of games. Now, the program will play all configurations on the given graph. ![]() py, to indicate the desired parameters, pass them as arguments as shown in the example below. This time, however, the configuration is not directly chosen.įirst, in running configuration. Suppose the same parameters are involved. py contains more graphs and their configuration. If the game is winnable, as in this case, then the resulting excel file will contain the steps on how to win. Saving to file: peg-solitaire-example-sheet-path-5-z3.xlsx
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