





"""simple docstring"""






from __future__ import annotations

from collections.abc import Sequence
from typing import Literal

def     __A      (			a_						:str   ,       a_						:str)		->		str | Literal[False]:
				__a :						Any			       =  list(a_)
				__a :						Optional[int]			       =  list(a_)
				__a :						Union[str, Any]			       =  0
				for i in range(len(a_)):
								if lista[i] != lista[i]:
												count += 1
												__a :						str			       =  '''_'''
				if count > 1:
								return False
				else:
								return "".join(a_)

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

def     __A      (			a_						:int   ,       a_						:Sequence[float])		->		list[str]:
				__a :						List[str]			       =  []
				for minterm in minterms:
								__a :						List[Any]			       =  ''''''
								for _ in range(a_):
												__a :						Tuple			       =  str(minterm % 2) + string
												minterm //= 2
								temp.append(a_)
				return temp

def     __A      (			a_						:str   ,       a_						:str   ,       a_						:int)		->		bool:
				__a :						List[str]			       =  list(a_)
				__a :						List[str]			       =  list(a_)
				__a :						List[Any]			       =  0
				for i in range(len(a_)):
								if lista[i] != lista[i]:
												count_n += 1
				return count_n == count

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

def     __A      (			a_						:list[str]   ,       a_						:list[str])		->		list[list[int]]:
				__a :						Tuple			       =  [[0 for x in range(len(a_))] for x in range(len(a_))]
				for i in range(len(a_)):
								__a :						Optional[int]			       =  prime_implicants[i].count('''_''')
								for j in range(len(a_)):
												if is_for_table(prime_implicants[i]   ,       binary[j]   ,       a_):
																__a :						Union[str, Any]			       =  1

				return chart

def     __A      (			)		->		None:
				__a :						str			       =  int(input('''Enter the no. of variables\n'''))
				__a :						Union[str, Any]			       =  [
				    float(a_)
				    for x in input(
				        '''Enter the decimal representation of Minterms \'Spaces Separated\'\n''').split()
				]
				__a :						Optional[int]			       =  decimal_to_binary(a_   ,       a_)

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

				__a :						int			       =  selection(a_   ,       a_)
				print('''Essential Prime Implicants are:''')
				print(a_)


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		main()






"""simple docstring"""






def     __A      (			a_						:float   ,       a_						:float)		->		float:
				return price * (1 + tax_rate)


if __name__ == "__main__":
		print(F'{price_plus_tax(100, 0.25) = }')
		print(F'{price_plus_tax(125.50, 0.05) = }')