mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-24 21:41:08 +00:00
77 lines
1.8 KiB
Python
77 lines
1.8 KiB
Python
#! /usr/bin/python3
|
|
import sys
|
|
|
|
def nqueens(board_width):
|
|
board = [0]
|
|
current_row = 0
|
|
while True:
|
|
conflict = False
|
|
|
|
for review_index in range(0, current_row):
|
|
left = board[review_index] - (current_row - review_index)
|
|
right = board[review_index] + (current_row - review_index);
|
|
if (board[current_row] == board[review_index] or (left >= 0 and left == board[current_row]) or (right < board_width and right == board[current_row])):
|
|
conflict = True;
|
|
break
|
|
|
|
if (current_row == 0 and conflict == False):
|
|
board.append(0)
|
|
current_row = 1
|
|
continue
|
|
|
|
if (conflict == True):
|
|
board[current_row] += 1
|
|
|
|
if (current_row == 0 and board[current_row] == board_width):
|
|
print("No solution exists for specificed board size.")
|
|
return None
|
|
|
|
while True:
|
|
if (board[current_row] == board_width):
|
|
board[current_row] = 0
|
|
if (current_row == 0):
|
|
print("No solution exists for specificed board size.")
|
|
return None
|
|
|
|
board.pop()
|
|
current_row -= 1
|
|
board[current_row] += 1
|
|
|
|
if board[current_row] != board_width:
|
|
break
|
|
else:
|
|
current_row += 1
|
|
if (current_row == board_width):
|
|
break
|
|
|
|
board.append(0)
|
|
return board
|
|
|
|
def print_board(board):
|
|
if (board == None):
|
|
return
|
|
|
|
board_width = len(board)
|
|
for row in range(board_width):
|
|
line_print = []
|
|
for column in range(board_width):
|
|
if column == board[row]:
|
|
line_print.append("Q")
|
|
else:
|
|
line_print.append(".")
|
|
print(line_print)
|
|
|
|
|
|
if __name__ == '__main__':
|
|
default_width = 8
|
|
for arg in sys.argv:
|
|
if (arg.isdecimal() and int(arg) > 3):
|
|
default_width = int(arg)
|
|
break
|
|
|
|
if (default_width == 8):
|
|
print("Running algorithm with board size of 8. Specify an alternative Chess board size for N-Queens as a command line argument.")
|
|
|
|
board = nqueens(default_width)
|
|
print(board)
|
|
print_board(board) |