![]() There are two traditional boards ('.' as an initial peg, 'o' as an initial hole): The objective is, making valid moves, to empty the entire board except for a solitary peg in the central hole. The standard game fills the entire board with pegs except for the central hole. This is the first known reference to the game in print. The August 1697 edition of the French literary magazine Mercure galant contains a description of the board, rules and sample problems. ![]() The first evidence of the game can be traced back to the court of Louis XIV, and the specific date of 1697, with an engraving made ten years later by Claude Auguste Berey of Anne de Rohan-Chabot, Princess of Soubise, with the puzzle by her side. It is also called Brainvita in India, where sets are sold commercially under this name. The game is known as solitaire in Britain and as peg solitaire in the US where 'solitaire' is now the common name for patience. Some sets use marbles in a board with indentations. Peg solitaire, Solo Noble or simply Solitaire is a board game for one player involving movement of pegs on a board with holes. ![]() For some initial configurations there is no solution.Board game for one player The Princess of Soubise playing solitaire, 1697 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. This pseudo code was used as an inspiration for the program. ![]() 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. 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. 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. 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 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. The first evidence of the game can be traced back to 1697. The game is also known as Brainvita (especially in India). 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. C++ program solving Peg solitaire game About Peg Solitaire.
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