If (!depth) return ((1ULL << 27) & board) įor (vecjumps::const_iterator cit = jumps.begin() cit != jumps. Solutions, moves, (double)(clock() - start) / CLOCKS_PER_SEC) Through a xor-instruction, a jump from 11 to 27 includes 19ī ^= 1ULL << from | 1ULL << (from + to) / 2 | 1ULL << to If (ml & (1ULL << i)) jumps.push_back(std::make_pair(i, i - 2)) If (mr & (1ULL << i)) jumps.push_back(std::make_pair(i, i + 2)) board by 16 right/left -> moving all pegs up/down. Find the possible jumps through bit-shift operations. To try the hole-version: Swap Commented and Uncommented parts Int solutions = 0 // Number of solutions found so farĬonst ui64 bitboard = 0x001c1c7f7f7f1c1c // 1ULL Hole Ui64 moves = 0 // Number of moves made so far Typedef std::vector > vecjumps // first=from, second=to To keep it compact I have removed the lesser important parts (printing the board, generating the initial bitboard. You can try the algorithm with following C++ program. Question: Why is there such a giant (not solvable / immediately solved) difference on how to search the board for jumps? Why is it better to check the pegs instead of checking the holes for possible jumps? Analyzing pegs: Runtime 10 seconds, 2940 solutions.Analyzing holes: Runtime 23 hours no solution.Trying the jumps in the order they are found. Right (each peg is checked if there are possible jumps). Jumps), the paper-algorithm searches the board for pegs from top left to bottom Left to bottom right (each hole is checked if there are possible While my algorithm searches the board for holes from top The main difference between the algorithms is the way they find I tried the c-program from the paperĪnd the first solution was found immediately after the program started. "Depth-first search solves peg solitaire". Even after 23 hours, theĪlgorithm didn't find any solution. Should be possible to solve the game since "modern computers can easily examineĪll game positions in a reasonable time". Camping out with my aunt I came across this interesting little game.I am trying to solve Peg Solitaire with a depth-first search algorithm – it Algebra: Articles and Problems 100 Grasshoppers on a Triangular Board 1089 and a Property of 3-digit Numbers Java. Perhaps you’ve played it. The goal is simply to jump over pegs with the goal of having as few pegs left over when you run out of possible moves.įor a fun exercise, and because I’m not smart enough to be clever, I wrote a game solver that recursively works through every possible move to identify a winning solution – completing the puzzle with a single peg left. My solution involved creating a type of linked tree where each PegNode has references to its neighboring pegs via references. Peg Solitaire Java Peg Solitaire and Group Theory. The pegs are named based on their location starting at 1 and the connections are identified as paths ‘A’ through ‘F’ going clockwise from the top-right. programming languages (C/C++ or Java, preferably both), and have passed basic. PegIt v.1.0.9c PegIt is a unique level-based logic puzzle game inspired by the classic Peg Solitaire board game. The PegNode class is simple and besides identifying itself it only has references to it’s neighbors and a boolean indicating whether it is currently pegged. When I tried this first (some years ago, with C instead of Java on an old SUN workstation), the code found no solutions running several minutes. UVa 00647 - Chutes and Ladders (child board game, similar to UVa 11459). #Peg solitaire triangle board java code code I did a web search and found the paper 'Depth-first search solves peg solitaire'. Even after 23 hours, the algorithm didn't find any solution. Peg Solitaire Board Selection Triangle Shaped Board. I am trying to solve Peg Solitaire with a depth-first search algorithm it should be possible to solve the game since 'modern computers can easily examine all game positions in a reasonable time'. I had a strong suspicion: The triangle peg solitaire has no solution for n 7. Peg Solitaire is a board game for one player involving movement of pegs on a board with holes. #Peg solitaire triangle board java code code.
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