![]() newboard = true # Save the new board state. ![]() newboard = false # Place the jumping peg in its new location. newboard = false # Remove the jumped peg. newboard = copy ( board ) # Remove the jumping peg from its current location. I then assigned some numeric codes depending on if the peg is present (1), not present (0) and if the position is outside of the board (-1). We could just model the board as a 7x7 matrix. As long as the applicable neighbor positions have a peg and the neighbors' neighbors are empty, these moves are valid.įunction mdist ( a, b ) return abs ( a - b ) + abs ( a - b ) end function getnextstates ( board, indices ) nextstates = Vector () for ind in indices # (1) there must be a peg to use to jump if ! board continue end neighbors = ( n for n in indices if ind != n & mdist ( ind, n ) <= 2 ) for n in neighbors # (2) the neighbor location must contain a peg if ! board continue end n2 = ( n - ( ind - n ), n - ( ind - n )) # (3) the neighbor's neighbor in the same direction # must be a valid location and empty if n2 in indices & ! board # If (1), (2), and (3) are satisfied, # make a copy of the current board. So the only missing thing was how to model the Peg Solitaire board and its movements. There are two potential moves: (1) jump from 3,5 to 1,3 and remove the peg at 2,4, and (2) jump from 3,5 to 1,7 and remove the peg at 2,6. Then, locations marked n are its neighbors, and n2 are the neighbors' neighbors at a valid index. Using the following figure, suppose i is the location of the peg that will jump. In addition, the neighbor's neighbor in the same direction must be empty, so we have a hole to jump to. To run the program, please compile and run Java class Run.java javac Run. The neighbor position must contain a peg, so we have something to jump. A Depth First Search to solve Peg Solitaire. (This is known as the Konami Order. In other words, given the current state of the board, what are the potential states of the board after one jump? For each peg, consider its neighbor positions (northwest, northeast, east, southeast, southwest, or west). For any peg that can be moved, youmust recursively try moves in the following order: first try moving up (smaller y), then down (larger y),then left (smaller x), then right (larger x). Next, we need to determine the potential moves. All holes are filled with pegs except the top left one. This board is a potential starting position. This source gives a more detail analysis of solutions for the "Cracker Barrel" or triangulated representation of Peg Solitaire.Enter fullscreen mode Exit fullscreen mode "Peg Board Puzzle Solution Page." Daniel M. This source describes Peg Solitaire in a triangular hex grid, and gives a documented example of the source code. "Uninformed Search." Gettysburg College Computer Science. This source explains the uses of depth-first search and details its algorithm. "Depth First Search (DFS)." Depth First Search (DFS). Matos uses a tree to represent the pegs instead of a graph and gives computation type for implementing this algorithm with different representations of Peg Solitaire. Matos goes into detail about using the Depth-First Search to solve the Peg Solitaire problem. "Depth-first search solves Peg Solitaire." Computer and Information Science Papers CiteSeer Publications ResearchIndex. It also implies that the Depth First Search as one of the most effective solutions. It also includes different representations of Peg Solitaire other than the "Cracker Barrel" design. This source offers background information on several different techniques in solving Peg Solitaire. The Board can be represented as a tree in order to implement how to traverse it.ĭepth First Search Algorithm DepthFirstSearch(Board b, Peg start) Peg solitaire, also known as Solo Noble or Brainvita in India, is a board game from Madagascar for one player involving movement of pegs on a board with holes. This design is similar to an equilateral triangle where each edge has the same number of pegs, and each row has one more peg than the row above it. Peg Board The simplest peg solitaire design is the triangular peg board, often referred to as the “Cracker Barrel” design. The purpose of the game is to eliminate all pegs by jumping over them, similar to the game of Checkers.Single-player board game with pegs that can come in many different shapes such as:.Peg Solitaire with Depth First Search By: Iris Garcia
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |