- #Solitaire peg board game rules full#
- #Solitaire peg board game rules code#
- #Solitaire peg board game rules trial#
- #Solitaire peg board game rules series#
For some initial configurations there is no solution.
#Solitaire peg board game rules code#
The code allows you to test any board configuration, and the algorithm will check if there is a solution to this sequence of pegs on the board. Results: within about 15 seconds the program is finding a solution and prints it out in the form of moves. However, the final result looks slightly different. On the 15-hole board, we compare three simple solution strategies. For all solvable problems, we give an explicit solutionalgorithm. We develop necessary and sucient conditionsfor this game to be solvable.
#Solitaire peg board game rules full#
This pseudo code was used as an inspiration for the program. The basic game begins from a full board with one peg missing and nishes withone peg at a specied board location. Peg solitaire (or Solo Noble) is a board game for one player involving movement of pegs on a board with holes. Storing information about already taken paths is implemented with a hash table. However, this is not enough to call it a good algorithm because it does not solve the problem in a reasonable time.Īnother improvement is needed - making an informed search which checks to see if a given board configuration was already checked, and if so, does not continue a search on that path.
#Solitaire peg board game rules trial#
In a proposed solution, a “depth first” search is used ( ) which tries to search (make trial moves) as deeply as possible, and backs up only when it hits a dead end, at which point back tracking is used ( ). (Source: ).Īn algorithm which blindly checks all the possibilities will not work quickly, and even with a very fast machine it would take years to solve. A game played on a board of a given shape consisting of a number of holes of which all but one are initially filled with pegs. The game is won when all of the pegs are removed except one, which is in the center hole.įor the version with 33 holes (and 32 pegs) of Peg Solitaire there are 577,116,156,815,309,849,672 different game sequences (577+ quintillion possible games), with 40,861,647,040,079,968 solutions. Play continues with a peg jumping over another peg into an empty hole until there are no possible moves left.
#Solitaire peg board game rules series#
A peg can only jump one peg at a time, but as with Checkers, a peg can make a series of multiple jumps if there are open holes. A peg can jump left, right, up or down but cannot jump diagonally. The first move begins with a peg jumping over another peg into an empty hole. The game starts with all the holes on the board filled with a peg except the hole in the center, which is empty. Once a peg has been jumped over, it is removed from the board. The game ends when no jump is possible, and the goal is to nish at a one peg position. The player then jumps one peg over another into an empty hole on the board, removing the peg that was jumped over. neighbor (horizontally or vertically) into an empty space opposite. The game begins with a peg (or marble) at every hole except one, called the starting vacancy.
A piece moves on this board by jumping over one of its immediate. The rules of Peg solitaire are similar to Checkers, in that a peg can jump over another peg as long as there is an empty hole on the other side. 32 movable pegs ('+') are arranged on the following board such that. The first evidence of the game can be traced back to 1697. The rules of the game are very simple: you make moves by jumping a peg over an adjacent peg, much like in checkers, except that the moves must be horizontal or. The game is also known as Brainvita (especially in India). This set, in the standard English style, uses wood marbles on a wood game board with 33 indentations. In the United Kingdom the game is referred to as Solitaire while the card games are called Patience. Peg solitaire (or Solo Noble) is a single player board game involving movement of pegs on a board with holes. The object of the game is to not only remove all of the pegs from the board by jumping over them with any of the other pegs, but also to accomplish this daunting task while simultaneously ending your jumping spree with a peg resting exactly in the centre hole of the board.C++ program solving Peg solitaire game About Peg Solitaire.
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