From there, solve solve as if it were starting position 1. The “trick” is to get to the same pattern after the first three moves, the goal shape. To mix it up, jump them in reverse and it won’t look like you’re solving the puzzle the same way every time.Īlmost there, the diagonal jump clears all but the bottom of the puzzle and the bottom clears “easy”.įor the other starting positions (except position 5 which we will cover later), the same solution is used after the third jump. The next steps are to clear the second from bottom row (the yellow tees) and the bottom row.ġ5-13 and 12-14 clears the bottom. The next moves, 7-2, 13-4 and 2-7. This shape is not too critical, the photo just shows the puzzle progressing. Learning to solve the puzzle from this point is the key to success with the game. This shape will be referenced later in this document as the “goal position” for the other variations of the game using different starting holes. With these complete, the “magic” base follows. After 3 moves, they all look the same except the evil #5!
Solitaire peg board game rules how to#
That is followed by instructions on how to solve for the other starting positions, with the happy addition that most of the starting positions are just variations of the standard #1 start. The initial discussion on this page shows how to solve the puzzle with hole #1 empty. The normal starting hole (empty hole) is hole #1. Photographs follow showing the board from start of game through completion. I suspect that the genius title is overstated, but if you follow the instructions on this page and you’re sure to impress the family!įor the pages that follow, the puzzle is viewed in this orientation and the hole numbers referenced. The instructions on the board say that if you leave only one peg, you are a genius. The game starts with pegs (golf tees) in all the holes except one the goal is to jump pegs one at a time, removing the jumped peg until only one peg remains. The game board is a triangle with 15 holes in the same shape as bowing pins, except with an extra row. Moved from web page to blog and added solutions for finish position equal start position. This page describes how to solve the puzzle from any starting position.
Solitaire peg board game rules cracker#
This article might be a help for you.Ĭheck out the GitHub repo for an example usage and more code details.When visiting the Cracker Barrel restaurant, you will find a 15-peg triangle board game on each table. Nevertheless, you can still improve the performance by using symmetries for example. class Move(val from: Pair, val to: Pair) println("Done in $timeMS ms") The method getPegToRemove() returns the position of the pin to remove. In this case, the pin at y=2|x=4 gets removed. The first value indicates the row ( y) and the second one the column ( x). For example Move(Pair(2,3), Pair(2,5)) means that we want to move the pin at y=2|x=3 to y=2|x=5. Both of them include a x and y coordinate that represents the position on our board. Next, we create a class that represents a single move. Quite simple: fun hasWon(): Boolean = this.remainingPegs = 1 & board = 1
How do we check if the player has won? As I just mentioned above, the game is won when the last pin is in the center of the board. The printed board looks like this: - | X X X | | X X X | | X X X X X X X | -1 => " " | X X X o X X X | 0 => "o" | X X X X X X X | 1 => "X" | X X X | | X X X |. The board is encoded as matrix (2D array) including the following values: Let’s start with the board representation. Before we can implement the algorithm, we have to write some game logic first. You’re not allowed to jump over multiple pegs or multiple empty cells.įor the implementation we’ll use Kotlin, but of course you can use any other language. The game is won when there’s 1 peg left in the center of the board and it’s lost when you cannot jump anymore or the last peg is not in the center. The rules are simple: each turn you can pick one peg, jump over a neighboring one (horizontal or vertical) and remove the one you just jumped over. What is Peg Solitaire? Peg Solitaire is a single player board game where the player has to move pegs (pins) and remove them on a board in order to win. There’s also an example repository on GitHub.īut first things first.
So in this post we’ll solve Peg Solitaire with the help of backtracking. I really liked the idea and was curious to solve this puzzle. If you read the comments, you’ll notice that backtracking is the most common answer given. A few days ago I saw a post on Reddit where someone asked what an algorithm for solving Peg Solitaire might look like.
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