- #Peg solitaire solution how to
- #Peg solitaire solution code
- #Peg solitaire solution trial
- #Peg solitaire solution Pc
- #Peg solitaire solution series
The move directions per position are coded as bits 0.3 in aĪ "1" bit indicates that the move is allowed. One-dimensional array is used instead of a twoīytes are ordered as in a one-dimensional array, so if a = 1 if the position n holds a peg, board = 0 if position n is The peg placement is recorded in array board: How is this game coded? Have a look at the board and the numbering of the peg positions: If no addtional tricks are programmed to speedup the search.
#Peg solitaire solution Pc
In 12 milliseconds and finds more solutions in additional fractionsĪ modern PC with 2,4GHz clock needs about 7.5 secs to solve the puzzle However, solitaire2.exe solves the solitaire puzzle
The existence of search techniques, but never studied them.Īpproach is intuitive. Peg-Solitaire version 2 is ready now and has
#Peg solitaire solution how to
Recently I wrote another program, now in Delphi.Ĭamping in France (without PC) some ideas struck me how to speedup I remember that it took this giant machineĪbout 6 minutes to find the first solution. National supercomputer installed at the Academic Computer Center Was granted permission to run my Fortran program on the Cyber205, the My efforts to write a program that solves peg-solitaire go back to 1993.Ī hardware engineer, for the Control Data Corporation (CDC). This article will focus on the search option. Permutation filter removes similar solutions : Select 1 of 12 preset games, from easy to difficult Place balls at board to create starting position for search My version of Peg Solitaire has the following options: Peg that was jumped over is removed from the game.īelow for a reduced image of an initial- and a solved game. Over it's neigbour (horizontally or vertically) to an empty hole. The final, solved, game has one peg in the center positionĪfter 31 moves have striked the other pegs. For some initial configurations there is no solution.Introduction Peg Solitaire is a single player puzzle.
#Peg solitaire solution 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. 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.
#Peg solitaire solution 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. 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.
#Peg solitaire solution 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 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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