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Accordingly this code models the board as a python list and add and remove methods simulate placing and removing a queen from a specific position in the board, hopefully this one will make the understanding part of it little easier and simpler. Sample Output: For a board of size 4: All Solutions To The Eight Queens Puzzle — Python EDA Documentation. The eight queens puzzle is the problem of placing eight chess queens on an 8x8 chessboard so that no two queens attack each other.
It is a classic demonstration of finding the solutions to a constraint problem. In this essay we will use the PyEDA SAT solver to find all solutions to the eight queens puzzle. Setting Up the Chess Board¶ A chess board is an 8x8 grid. Each square on the grid either has a queen on it, or doesn’t. >>> X = exprvars('x', 8, 8) Constraints¶ Row and Column Constraints¶ Rather than start with the constraint that , we will instead start with a simplifying observation. First, we write a constraint that says “exactly one queen must be placed on each row”. >>> R = And(*[OneHot(*[X[r,c] for c in range(8)]) for r in range(8)]) Next, we write a constraint that says “exactly one queen must be placed on each column”.