





import random
import sys

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

lowerCAmelCase_				= "Usage of script: script_name <size_of_canvas:int>"

lowerCAmelCase_				= [0] * 1_0_0 + [1] * 1_0
random.shuffle(choice)




def     A_      (	lowercase_	)      ->    List[str]:
       _snake_case   :				List[str]  					=    [[False for i in range(__A	)] for j in range(__A	)]
       return canvas




def     A_      (	lowercase_	)      ->    Optional[Any]:
       for i, row in enumerate(__A	):
              for j, _ in enumerate(__A	):
                     _snake_case   :				Optional[Any]  					=    bool(random.getrandbits(1	)	)




def     A_      (	lowercase_	)      ->    int:
       _snake_case   :				List[str]  					=    np.array(__A	)
       _snake_case   :				int  					=    np.array(create_canvas(current_canvas.shape[0]	)	)
       for r, row in enumerate(__A	):
              for c, pt in enumerate(__A	):
                     _snake_case   :				Union[str, Any]  					=    __judge_point(
                         __A   ,		current_canvas[r - 1 : r + 2, c - 1 : c + 2]	)

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




def     A_      (	lowercase_   ,		lowercase_	)      ->    List[Any]:
       _snake_case   :				Tuple  					=    0
       _snake_case   :				Tuple  					=    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.
       _snake_case   :				Dict  					=    pt
       if pt:
              if alive < 2:
                     _snake_case   :				List[Any]  					=    False
              elif alive == 2 or alive == 3:
                     _snake_case   :				List[Any]  					=    True
              elif alive > 3:
                     _snake_case   :				Optional[Any]  					=    False
       else:
              if alive == 3:
                     _snake_case   :				Dict  					=    True

       return state


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

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














'''simple docstring'''







from __future__ import annotations

from typing import TypedDict





class 						SCREAMING_SNAKE_CASE       (       SCREAMING_SNAKE_CASE_							):
			snake_case__	=					42
			snake_case__	=					42





def 		_UpperCAmelCase (				__A				: str   ):
				if not isinstance(__A    ,		__A   ):
								raise TypeError('''The parameter s type must be str.'''   )

				return [s[i:] + s[:i] for i in range(len(__A   )   )]





def 		_UpperCAmelCase (				__A				: str   ):
				if not isinstance(__A    ,		__A   ):
								raise TypeError('''The parameter s type must be str.'''   )
				if not s:
								raise ValueError('''The parameter s must not be empty.'''   )

				a_		:	str									=   all_rotations(__A   )
				rotations.sort()  # sort the list of rotations in alphabetically order
				# make a string composed of the last char of each rotation
				a_		:	BWTTransformDict									=   {
				    "bwt_string": "".join([word[-1] for word in rotations]   ),
				    "idx_original_string": rotations.index(__A   ),
				}
				return response





def 		_UpperCAmelCase (				__A				: str    ,		__A				: int   ):
				if not isinstance(__A    ,		__A   ):
								raise TypeError('''The parameter bwt_string type must be str.'''   )
				if not bwt_string:
								raise ValueError('''The parameter bwt_string must not be empty.'''   )
				try:
								a_		:	Union[str, Any]									=   int(__A   )
				except ValueError:
								raise TypeError(
								    '''The parameter idx_original_string type must be int or passive'''
								    ''' of cast to int.'''   )
				if idx_original_string < 0:
								raise ValueError('''The parameter idx_original_string must not be lower than 0.'''   )
				if idx_original_string >= len(__A   ):
								raise ValueError(
								    '''The parameter idx_original_string must be lower than''' ''' len(bwt_string).'''   )

				a_		:	Union[str, Any]									=   [''''''] * len(__A   )
				for _ in range(len(__A   )   ):
								for i in range(len(__A   )   ):
												a_		:	int									=   bwt_string[i] + ordered_rotations[i]
								ordered_rotations.sort()
				return ordered_rotations[idx_original_string]


if __name__ == "__main__":
		__lowerCAmelCase									=   'Provide a string that I will generate its BWT transform: '
		__lowerCAmelCase									=   input(entry_msg).strip()
		__lowerCAmelCase									=   bwt_transform(s)
		print(
		    F"""Burrows Wheeler transform for string '{s}' results """
		    F"""in '{result['bwt_string']}'"""
		)
		__lowerCAmelCase									=   reverse_bwt(result['bwt_string'], result['idx_original_string'])
		print(
		    F"""Reversing Burrows Wheeler transform for entry '{result['bwt_string']}' """
		    F"""we get original string '{original_string}'"""
		)




