


'''simple docstring'''



from __future__ import annotations

from collections.abc import Sequence
from typing import Literal






def   lowerCamelCase							(_SCREAMING_SNAKE_CASE      :   str						,      _SCREAMING_SNAKE_CASE      :   str   ):
					__a			:       List[str]					    =  list(_SCREAMING_SNAKE_CASE   )
					__a			:       List[Any]					    =  list(_SCREAMING_SNAKE_CASE   )
					__a			:       Tuple					    =  0
					for i in range(len(_SCREAMING_SNAKE_CASE   )   ):
										if lista[i] != lista[i]:
															count += 1
															__a			:       Any					    =  '_'
					if count > 1:
										return False
					else:
										return "".join(_SCREAMING_SNAKE_CASE   )






def   lowerCamelCase							(_SCREAMING_SNAKE_CASE      :   list[str]   ):
					__a			:       Any					    =  []
					while True:
										__a			:       Union[str, Any]					    =  ['$'] * len(_SCREAMING_SNAKE_CASE   )
										__a			:       Tuple					    =  []
										for i in range(len(_SCREAMING_SNAKE_CASE   )   ):
															for j in range(i + 1						,      len(_SCREAMING_SNAKE_CASE   )   ):
																				__a			:       List[Any]					    =  compare_string(binary[i]						,      binary[j]   )
																				if k is False:
																									__a			:       Dict					    =  '*'
																									__a			:       Optional[Any]					    =  '*'
																									temp.append('X'   )
										for i in range(len(_SCREAMING_SNAKE_CASE   )   ):
															if checka[i] == "$":
																				pi.append(binary[i]   )
										if len(_SCREAMING_SNAKE_CASE   ) == 0:
															return pi
										__a			:       Union[str, Any]					    =  list(set(_SCREAMING_SNAKE_CASE   )   )






def   lowerCamelCase							(_SCREAMING_SNAKE_CASE      :   int						,      _SCREAMING_SNAKE_CASE      :   Sequence[float]   ):
					__a			:       Optional[Any]					    =  []
					for minterm in minterms:
										__a			:       List[Any]					    =  ''
										for _ in range(_SCREAMING_SNAKE_CASE   ):
															__a			:       List[str]					    =  str(minterm % 2   ) + string
															minterm //= 2
										temp.append(_SCREAMING_SNAKE_CASE   )
					return temp






def   lowerCamelCase							(_SCREAMING_SNAKE_CASE      :   str						,      _SCREAMING_SNAKE_CASE      :   str						,      _SCREAMING_SNAKE_CASE      :   int   ):
					__a			:       List[str]					    =  list(_SCREAMING_SNAKE_CASE   )
					__a			:       Tuple					    =  list(_SCREAMING_SNAKE_CASE   )
					__a			:       Tuple					    =  0
					for i in range(len(_SCREAMING_SNAKE_CASE   )   ):
										if lista[i] != lista[i]:
															count_n += 1
					return count_n == count






def   lowerCamelCase							(_SCREAMING_SNAKE_CASE      :   list[list[int]]						,      _SCREAMING_SNAKE_CASE      :   list[str]   ):
					__a			:       int					    =  []
					__a			:       str					    =  [0] * len(_SCREAMING_SNAKE_CASE   )
					for i in range(len(chart[0]   )   ):
										__a			:       Any					    =  0
										__a			:       Union[str, Any]					    =  -1
										for j in range(len(_SCREAMING_SNAKE_CASE   )   ):
															if chart[j][i] == 1:
																				count += 1
																				__a			:       Optional[int]					    =  j
										if count == 1:
															__a			:       Optional[Any]					    =  1
					for i in range(len(_SCREAMING_SNAKE_CASE   )   ):
										if select[i] == 1:
															for j in range(len(chart[0]   )   ):
																				if chart[i][j] == 1:
																									for k in range(len(_SCREAMING_SNAKE_CASE   )   ):
																														__a			:       List[Any]					    =  0
															temp.append(prime_implicants[i]   )
					while True:
										__a			:       Any					    =  0
										__a			:       Any					    =  -1
										__a			:       int					    =  0
										for i in range(len(_SCREAMING_SNAKE_CASE   )   ):
															__a			:       Any					    =  chart[i].count(1   )
															if count_n > max_n:
																				__a			:       str					    =  count_n
																				__a			:       Any					    =  i

										if max_n == 0:
															return temp

										temp.append(prime_implicants[rem]   )

										for i in range(len(chart[0]   )   ):
															if chart[rem][i] == 1:
																				for j in range(len(_SCREAMING_SNAKE_CASE   )   ):
																									__a			:       List[str]					    =  0






def   lowerCamelCase							(_SCREAMING_SNAKE_CASE      :   list[str]						,      _SCREAMING_SNAKE_CASE      :   list[str]   ):
					__a			:       int					    =  [[0 for x in range(len(_SCREAMING_SNAKE_CASE   )   )] for x in range(len(_SCREAMING_SNAKE_CASE   )   )]
					for i in range(len(_SCREAMING_SNAKE_CASE   )   ):
										__a			:       Union[str, Any]					    =  prime_implicants[i].count('_'   )
										for j in range(len(_SCREAMING_SNAKE_CASE   )   ):
															if is_for_table(prime_implicants[i]						,      binary[j]						,      _SCREAMING_SNAKE_CASE   ):
																				__a			:       int					    =  1

					return chart






def   lowerCamelCase							():
					__a			:       Any					    =  int(input('Enter the no. of variables\n'   )   )
					__a			:       Union[str, Any]					    =  [
					    float(_SCREAMING_SNAKE_CASE   )
					    for x in input(
					        'Enter the decimal representation of Minterms \'Spaces Separated\'\n'   ).split()
					]
					__a			:       List[str]					    =  decimal_to_binary(_SCREAMING_SNAKE_CASE						,      _SCREAMING_SNAKE_CASE   )

					__a			:       Any					    =  check(_SCREAMING_SNAKE_CASE   )
					print('Prime Implicants are:'   )
					print(_SCREAMING_SNAKE_CASE   )
					__a			:       Optional[int]					    =  prime_implicant_chart(_SCREAMING_SNAKE_CASE						,      _SCREAMING_SNAKE_CASE   )

					__a			:       List[str]					    =  selection(_SCREAMING_SNAKE_CASE						,      _SCREAMING_SNAKE_CASE   )
					print('Essential Prime Implicants are:'   )
					print(_SCREAMING_SNAKE_CASE   )


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()








"""simple docstring"""

import numpy as np




def __lowercase			(							_a    ):
    return (2 / (1 + np.exp(-2 * vector    ))) - 1


if __name__ == "__main__":
     import doctest

     doctest.testmod()





