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Name	Size	Permission	Date
README	1.02 KB	-rw-r--r--	2024-03-19 22:46
beer.py	566 B	-rwxr-xr-x	2024-03-19 22:46
eiffel.py	3.82 KB	-rwxr-xr-x	2024-03-19 22:46
hanoi.py	4.5 KB	-rwxr-xr-x	2024-03-19 22:46
life.py	8.78 KB	-rwxr-xr-x	2024-03-19 22:46
markov.py	3.6 KB	-rwxr-xr-x	2024-03-19 22:46
mcast.py	2.17 KB	-rwxr-xr-x	2024-03-19 22:46
queens.py	2.22 KB	-rwxr-xr-x	2024-03-19 22:46
redemo.py	5.61 KB	-rwxr-xr-x	2024-03-19 22:46
rpython.py	811 B	-rwxr-xr-x	2024-03-19 22:46
rpythond.py	1.29 KB	-rwxr-xr-x	2024-03-19 22:46
sortvisu.py	19.52 KB	-rwxr-xr-x	2024-03-19 22:46
spreadsheet.py	25.02 KB	-rwxr-xr-x	2024-03-19 22:46
vector.py	1.83 KB	-rwxr-xr-x	2024-03-19 22:46

Rename

#!/usr/bin/env python3

"""
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.
"""

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('|', end=' ')
            for x in range(self.n):
                if self.y[x] == y:
                    print("Q", end=' ')
                else:
                    print(".", end=' ')
            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("Found", q.nfound, "solutions.")

if __name__ == "__main__":
    main()