'''simple docstring'''
import random
import sys

import numpy as np
from matplotlib import pyplot as plt
from matplotlib.colors import ListedColormap

lowercase__  :      Optional[Any]        =					"Usage of script: script_name <size_of_canvas:int>"

lowercase__  :      List[Any]        =					[0] * 100 + [1] * 10
random.shuffle(choice)



def  __lowerCamelCase       (      _UpperCamelCase  :  int					):


      '''simple docstring'''


      UpperCAmelCase_            =  [[False for i in range(__snake_case					)] for j in range(__snake_case					)]
      return canvas



def  __lowerCamelCase       (      _UpperCamelCase  :  list[list[bool]]					):


      '''simple docstring'''


      for i, row in enumerate(__snake_case					):
            for j, _ in enumerate(__snake_case					):
                  UpperCAmelCase_            =  bool(random.getrandbits(1					)					)



def  __lowerCamelCase       (      _UpperCamelCase  :  list[list[bool]]					):


      '''simple docstring'''


      UpperCAmelCase_            =  np.array(__snake_case					)
      UpperCAmelCase_            =  np.array(create_canvas(current_canvas.shape[0]					)					)
      for r, row in enumerate(__snake_case					):
            for c, pt in enumerate(__snake_case					):
                  UpperCAmelCase_            =  __judge_point(
                      __snake_case							,    current_canvas[r - 1 : r + 2, c - 1 : c + 2]					)

      UpperCAmelCase_            =  next_gen_canvas
      del next_gen_canvas  # cleaning memory as we move on.
      UpperCAmelCase_            =  current_canvas.tolist()
      return return_canvas



def  __lowerCamelCase       (      _UpperCamelCase  :  bool							,    _UpperCamelCase  :  list[list[bool]]					):


      '''simple docstring'''


      UpperCAmelCase_            =  0
      UpperCAmelCase_            =  0
      # finding dead or alive neighbours count.
      for i in neighbours:
            for status in i:
                  if status:
                        alive += 1
                  else:
                        dead += 1

    # handling duplicate entry for focus pt.
      if pt:
            alive -= 1
      else:
            dead -= 1

      # running the rules of game here.
      UpperCAmelCase_            =  pt
      if pt:
            if alive < 2:
                  UpperCAmelCase_            =  False
            elif alive == 2 or alive == 3:
                  UpperCAmelCase_            =  True
            elif alive > 3:
                  UpperCAmelCase_            =  False
      else:
            if alive == 3:
                  UpperCAmelCase_            =  True

      return state


if __name__ == "__main__":
       if len(sys.argv) != 2:
              raise Exception(usage_doc)

       lowercase__  :      Any        =					int(sys.argv[1])
       # main working structure of this module.
       lowercase__  :      Union[str, Any]        =					create_canvas(canvas_size)
       seed(c)
       lowercase__  :      int        =					plt.subplots()
       fig.show()
       lowercase__  :      str        =					ListedColormap(["w", "k"])
       try:
              while True:
                     lowercase__  :      Dict        =					run(c)
                     ax.matshow(c, cmap=cmap)
                     fig.canvas.draw()
                     ax.cla()
       except KeyboardInterrupt:
              # do nothing.
              pass






'''simple docstring'''
from __future__ import annotations



def  __lowerCamelCase       (      _UpperCamelCase  :  tuple[int, int]							,    _UpperCamelCase  :  int					):


      '''simple docstring'''


      UpperCAmelCase_      ,		UpperCAmelCase_            =  position
      UpperCAmelCase_            =  [
          (y + 1, x + 2),
          (y - 1, x + 2),
          (y + 1, x - 2),
          (y - 1, x - 2),
          (y + 2, x + 1),
          (y + 2, x - 1),
          (y - 2, x + 1),
          (y - 2, x - 1),
      ]
      UpperCAmelCase_            =  []

      for position in positions:
            UpperCAmelCase_      ,		UpperCAmelCase_            =  position
            if 0 <= y_test < n and 0 <= x_test < n:
                  permissible_positions.append(_UpperCamelCase					)

      return permissible_positions



def  __lowerCamelCase       (      _UpperCamelCase  :  list[list[int]]					):


      '''simple docstring'''


      return not any(elem == 0 for row in board for elem in row					)



def  __lowerCamelCase       (      _UpperCamelCase  :  list[list[int]]							,    _UpperCamelCase  :  tuple[int, int]							,    _UpperCamelCase  :  int					):


      '''simple docstring'''


      if is_complete(_UpperCamelCase					):
            return True

      for position in get_valid_pos(_UpperCamelCase							,    len(_UpperCamelCase					)					):
            UpperCAmelCase_      ,		UpperCAmelCase_            =  position

            if board[y][x] == 0:
                  UpperCAmelCase_            =  curr + 1
                  if open_knight_tour_helper(_UpperCamelCase							,    _UpperCamelCase							,    curr + 1					):
                        return True
                  UpperCAmelCase_            =  0

      return False



def  __lowerCamelCase       (      _UpperCamelCase  :  int					):


      '''simple docstring'''


      UpperCAmelCase_            =  [[0 for i in range(_UpperCamelCase					)] for j in range(_UpperCamelCase					)]

      for i in range(_UpperCamelCase					):
            for j in range(_UpperCamelCase					):
                  UpperCAmelCase_            =  1
                  if open_knight_tour_helper(_UpperCamelCase							,    (i, j)							,    1					):
                        return board
                  UpperCAmelCase_            =  0

      UpperCAmelCase_            =  F"""Open Kight Tour cannot be performed on a board of size {n}"""
      raise ValueError(_UpperCamelCase					)


if __name__ == "__main__":
      import doctest

      doctest.testmod()





