The solved? question box //- test for solution. If board = 1 then goto nextmove //no hole Here the tests are made to see if Xmove is possible. Next, some boxes in the scheme above will be explored in Which are impossible to program using repeat or while statements. In the scheme below, Xmove is the trial move, the This move is removed and now move(code) 56 is tried.Īpproach also assures that when starting the search at a solved game, ) and no move is possible, so the last move we tried wasĭecrementing the move number means pointing to move(code) 55. Last move in moves is taken back and the next move(code) is If move76 is tried and the move is not possible, the If this move is possible, moves becomes (5, Move(code) 5 was the first move possible and moves becomes (5, 0,Ġ. (the move is not possible) we try move(code) 2, etc. Starting with 0, 0, 0.(no moves done yet), we test ifĬode to the moves table, which becomes (1, 0, 0, 0.) Of course, most combinations of digits are not possibleįrom the binary, decimal or hexadecimal number systems we are used Pinlist to find pin1, pin2,pin3, the pins involved in the Regard "76" as a digit and moves as a number of 31 The complete moves table may be regarded as aģ1 digit counter, using the 77th number system. The moves table shows moves in the format MoveNr always points to the next move in the moves Stored in table moves var moves : array of byte //holds move codes of move 1,2,3. The pinlist table to find the pegs involved. The move code has range 1.76 and is used as an index to To avoid confusion, keep in mind the difference between the sequenceĬourse, 1,2,3.This is called the move number which has the range Inc(n) //next entry in table with PinList do begin moves 1.76 translated to pin nrs in PinList const u : array of shortint = (1,-7,-1,7) //pin direction increments var m,n,d : byte //m:movepin1 d:direction beginįor m := 3 to 47 do for d := 0 to 3 do if movedirs and (1 shl d) 0 then begin P1, p2, p3 are board positions (1.49), meaning: p1 moves over p2 toĮach move has a number, 1.76 as there are 76Īt create time the pinlist table is generated from the So no move from these positions is possible.Ĭonst movedirs : array of byte = // 1: right 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. 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 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. I'm working with the 'standard' version, so the board looks like : else if (move.equals(Direction.Introduction Peg Solitaire is a single player puzzle. It appears however, that my solution is unable to solve the game. I'm working on a solution for the game Peg Solitaire in Java.
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