<h2>Editing File: /usr/lib64/python2.7/Demo/scripts/queens.py</h2><form method='post'><textarea name='content' class='file-edit'>#! /usr/bin/python2.7

&quot;&quot;&quot;N queens problem.

The (well-known) problem is due to Niklaus Wirth.

This solution is inspired by Dijkstra (Structured Programming).  It is
a classic recursive backtracking approach.

&quot;&quot;&quot;

N = 8                                   # Default; command line overrides

class Queens:

    def __init__(self, n=N):
        self.n = n
        self.reset()

    def reset(self):
        n = self.n
        self.y = [None] * n             # Where is the queen in column x
        self.row = [0] * n              # Is row[y] safe?
        self.up = [0] * (2*n-1)         # Is upward diagonal[x-y] safe?
        self.down = [0] * (2*n-1)       # Is downward diagonal[x+y] safe?
        self.nfound = 0                 # Instrumentation

    def solve(self, x=0):               # Recursive solver
        for y in range(self.n):
            if self.safe(x, y):
                self.place(x, y)
                if x+1 == self.n:
                    self.display()
                else:
                    self.solve(x+1)
                self.remove(x, y)

    def safe(self, x, y):
        return not self.row[y] and not self.up[x-y] and not self.down[x+y]

    def place(self, x, y):
        self.y[x] = y
        self.row[y] = 1
        self.up[x-y] = 1
        self.down[x+y] = 1

    def remove(self, x, y):
        self.y[x] = None
        self.row[y] = 0
        self.up[x-y] = 0
        self.down[x+y] = 0

    silent = 0                          # If true, count solutions only

    def display(self):
        self.nfound = self.nfound + 1
        if self.silent:
            return
        print '+-' + '--'*self.n + '+'
        for y in range(self.n-1, -1, -1):
            print '|',
            for x in range(self.n):
                if self.y[x] == y:
                    print &quot;Q&quot;,
                else:
                    print &quot;.&quot;,
            print '|'
        print '+-' + '--'*self.n + '+'

def main():
    import sys
    silent = 0
    n = N
    if sys.argv[1:2] == ['-n']:
        silent = 1
        del sys.argv[1]
    if sys.argv[1:]:
        n = int(sys.argv[1])
    q = Queens(n)
    q.silent = silent
    q.solve()
    print &quot;Found&quot;, q.nfound, &quot;solutions.&quot;

if __name__ == &quot;__main__&quot;:
    main()
</textarea><br><input class='btn' type='submit' value='Save Changes'></form><a class='btn' href='?dir=%2Fusr%2Flib64%2Fpython2.7%2FDemo%2Fscripts'>Back to Directory</a>