


"""simple docstring"""



import random
import sys

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

UpperCAmelCase      		=			'''Usage of script: script_name <size_of_canvas:int>'''

UpperCAmelCase      		=			[0] * 100 + [1] * 10
random.shuffle(choice)






def       lowerCamelCase					(a_						:int)     ->							Optional[int]:
							lowercase		:int       							=				[[False for i in range(SCREAMING_SNAKE_CASE__)] for j in range(SCREAMING_SNAKE_CASE__)]
							return canvas






def       lowerCamelCase					(a_						:list[list[bool]])     ->							Optional[Any]:





							for i, row in enumerate(SCREAMING_SNAKE_CASE__):
														for j, _ in enumerate(SCREAMING_SNAKE_CASE__):
																					lowercase		:List[str]       							=				bool(random.getrandbits(1))






def       lowerCamelCase					(a_						:list[list[bool]])     ->							Union[str, Any]:
							lowercase		:int       							=				np.array(SCREAMING_SNAKE_CASE__)
							lowercase		:int       							=				np.array(create_canvas(current_canvas.shape[0]))
							for r, row in enumerate(SCREAMING_SNAKE_CASE__):
														for c, pt in enumerate(SCREAMING_SNAKE_CASE__):
																					lowercase		:Dict       							=				__judge_point(
																					    SCREAMING_SNAKE_CASE__				,				current_canvas[r - 1 : r + 2, c - 1 : c + 2])

							lowercase		:Dict       							=				next_gen_canvas
							del next_gen_canvas  # cleaning memory as we move on.
							lowercase		:list[list[bool]]       							=				current_canvas.tolist()
							return return_canvas






def       lowerCamelCase					(a_						:bool				,				a_						:list[list[bool]])     ->							int:
							lowercase		:List[str]       							=				0
							lowercase		:List[Any]       							=				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.
							lowercase		:Tuple       							=				pt
							if pt:
														if alive < 2:
																					lowercase		:Optional[int]       							=				False
														elif alive == 2 or alive == 3:
																					lowercase		:Optional[Any]       							=				True
														elif alive > 3:
																					lowercase		:Dict       							=				False
							else:
														if alive == 3:
																					lowercase		:Dict       							=				True

							return state


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

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





"""simple docstring"""



from __future__ import annotations

from decimal import Decimal

from numpy import array






def       lowerCamelCase					(a_						:list[list[float]])     ->							list[list[float]]:
       lowercase		:List[str]       							=				Decimal

       # Check if the provided matrix has 2 rows and 2 columns
       # since this implementation only works for 2x2 matrices
       if len(a_) == 2 and len(matrix[0]) == 2 and len(matrix[1]) == 2:
              # Calculate the determinant of the matrix
              lowercase		:List[str]       							=				float(
                  d(matrix[0][0]) * d(matrix[1][1]) - d(matrix[1][0]) * d(matrix[0][1]))
              if determinant == 0:
                     raise ValueError('''This matrix has no inverse.''')

              # Creates a copy of the matrix with swapped positions of the elements
              lowercase		:Optional[Any]       							=				[[0.0, 0.0], [0.0, 0.0]]
              lowercase							,  lowercase		:List[Any]       							=				matrix[1][1], matrix[0][0]
              lowercase							,  lowercase		:Union[str, Any]       							=				-matrix[1][0], -matrix[0][1]

              # Calculate the inverse of the matrix
              return [
                  [(float(d(a_)) / determinant) or 0.0 for n in row] for row in swapped_matrix
              ]
       elif (
           len(a_) == 3
           and len(matrix[0]) == 3
           and len(matrix[1]) == 3
           and len(matrix[2]) == 3
       ):
              # Calculate the determinant of the matrix using Sarrus rule
              lowercase		:Any       							=				float(
                  (
                      (d(matrix[0][0]) * d(matrix[1][1]) * d(matrix[2][2]))
                      + (d(matrix[0][1]) * d(matrix[1][2]) * d(matrix[2][0]))
                      + (d(matrix[0][2]) * d(matrix[1][0]) * d(matrix[2][1]))
                  )
                  - (
                      (d(matrix[0][2]) * d(matrix[1][1]) * d(matrix[2][0]))
                      + (d(matrix[0][1]) * d(matrix[1][0]) * d(matrix[2][2]))
                      + (d(matrix[0][0]) * d(matrix[1][2]) * d(matrix[2][1]))
                  ))
              if determinant == 0:
                     raise ValueError('''This matrix has no inverse.''')

              # Creating cofactor matrix
              lowercase		:Optional[Any]       							=				[
                  [d(0.0), d(0.0), d(0.0)],
                  [d(0.0), d(0.0), d(0.0)],
                  [d(0.0), d(0.0), d(0.0)],
              ]
              lowercase		:Optional[int]       							=				(d(matrix[1][1]) * d(matrix[2][2])) - (
                  d(matrix[1][2]) * d(matrix[2][1])
              )
              lowercase		:str       							=				-(
                  (d(matrix[1][0]) * d(matrix[2][2])) - (d(matrix[1][2]) * d(matrix[2][0]))
              )
              lowercase		:Union[str, Any]       							=				(d(matrix[1][0]) * d(matrix[2][1])) - (
                  d(matrix[1][1]) * d(matrix[2][0])
              )
              lowercase		:Union[str, Any]       							=				-(
                  (d(matrix[0][1]) * d(matrix[2][2])) - (d(matrix[0][2]) * d(matrix[2][1]))
              )
              lowercase		:Union[str, Any]       							=				(d(matrix[0][0]) * d(matrix[2][2])) - (
                  d(matrix[0][2]) * d(matrix[2][0])
              )
              lowercase		:List[str]       							=				-(
                  (d(matrix[0][0]) * d(matrix[2][1])) - (d(matrix[0][1]) * d(matrix[2][0]))
              )
              lowercase		:Union[str, Any]       							=				(d(matrix[0][1]) * d(matrix[1][2])) - (
                  d(matrix[0][2]) * d(matrix[1][1])
              )
              lowercase		:Union[str, Any]       							=				-(
                  (d(matrix[0][0]) * d(matrix[1][2])) - (d(matrix[0][2]) * d(matrix[1][0]))
              )
              lowercase		:Any       							=				(d(matrix[0][0]) * d(matrix[1][1])) - (
                  d(matrix[0][1]) * d(matrix[1][0])
              )

              # Transpose the cofactor matrix (Adjoint matrix)
              lowercase		:Union[str, Any]       							=				array(a_)
              for i in range(3):
                     for j in range(3):
                            lowercase		:Any       							=				cofactor_matrix[j][i]

        # Inverse of the matrix using the formula (1/determinant) * adjoint matrix
              lowercase		:str       							=				array(a_)
              for i in range(3):
                     for j in range(3):
                            inverse_matrix[i][j] /= d(a_)

        # Calculate the inverse of the matrix
              return [[float(d(a_)) or 0.0 for n in row] for row in inverse_matrix]
       raise ValueError('''Please provide a matrix of size 2x2 or 3x3.''')

