

from __future__ import annotations

from collections.abc import Sequence
from typing import Literal




def 					_lowercase     (				a_				:					Optional[int]					,a_				:					Optional[Any]				)				->	Any:




					'''simple docstring'''







					__magic_name__							=    list(_lowerCamelCase				)
					__magic_name__							=    list(_lowerCamelCase				)
					__magic_name__							=    0
					for i in range(len(_lowerCamelCase				)				):
										if lista[i] != lista[i]:
															count += 1
															__magic_name__							=    "_"
					if count > 1:
										return False
					else:
										return "".join(_lowerCamelCase				)




def 					_lowercase     (				a_				:					Dict				)				->	str:




					'''simple docstring'''







					__magic_name__							=    []
					while True:
										__magic_name__							=    ["$"] * len(_lowerCamelCase				)
										__magic_name__							=    []
										for i in range(len(_lowerCamelCase				)				):
															for j in range(i + 1					,len(_lowerCamelCase				)				):
																				__magic_name__							=    compare_string(binary[i]					,binary[j]				)
																				if k is False:
																									__magic_name__							=    "*"
																									__magic_name__							=    "*"
																									temp.append('X'				)
										for i in range(len(_lowerCamelCase				)				):
															if checka[i] == "$":
																				pi.append(binary[i]				)
										if len(_lowerCamelCase				) == 0:
															return pi
										__magic_name__							=    list(set(_lowerCamelCase				)				)




def 					_lowercase     (				a_				:					str					,a_				:					Dict				)				->	Tuple:




					'''simple docstring'''







					__magic_name__							=    []
					for minterm in minterms:
										__magic_name__							=    ""
										for _ in range(_lowerCamelCase				):
															__magic_name__							=    str(minterm % 2				) + string
															minterm //= 2
										temp.append(_lowerCamelCase				)
					return temp




def 					_lowercase     (				a_				:					Optional[int]					,a_				:					Optional[Any]					,a_				:					Union[str, Any]				)				->	List[Any]:




					'''simple docstring'''







					__magic_name__							=    list(_lowerCamelCase				)
					__magic_name__							=    list(_lowerCamelCase				)
					__magic_name__							=    0
					for i in range(len(_lowerCamelCase				)				):
										if lista[i] != lista[i]:
															count_n += 1
					return count_n == count




def 					_lowercase     (				a_				:					str					,a_				:					Dict				)				->	Union[str, Any]:




					'''simple docstring'''







					__magic_name__							=    []
					__magic_name__							=    [0] * len(_lowerCamelCase				)
					for i in range(len(chart[0]				)				):
										__magic_name__							=    0
										__magic_name__							=    -1
										for j in range(len(_lowerCamelCase				)				):
															if chart[j][i] == 1:
																				count += 1
																				__magic_name__							=    j
										if count == 1:
															__magic_name__							=    1
					for i in range(len(_lowerCamelCase				)				):
										if select[i] == 1:
															for j in range(len(chart[0]				)				):
																				if chart[i][j] == 1:
																									for k in range(len(_lowerCamelCase				)				):
																														__magic_name__							=    0
															temp.append(prime_implicants[i]				)
					while True:
										__magic_name__							=    0
										__magic_name__							=    -1
										__magic_name__							=    0
										for i in range(len(_lowerCamelCase				)				):
															__magic_name__							=    chart[i].count(1				)
															if count_n > max_n:
																				__magic_name__							=    count_n
																				__magic_name__							=    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(_lowerCamelCase				)				):
																									__magic_name__							=    0




def 					_lowercase     (				a_				:					str					,a_				:					List[Any]				)				->	int:




					'''simple docstring'''







					__magic_name__							=    [[0 for x in range(len(_lowerCamelCase				)				)] for x in range(len(_lowerCamelCase				)				)]
					for i in range(len(_lowerCamelCase				)				):
										__magic_name__							=    prime_implicants[i].count('_'				)
										for j in range(len(_lowerCamelCase				)				):
															if is_for_table(prime_implicants[i]					,binary[j]					,_lowerCamelCase				):
																				__magic_name__							=    1

					return chart




def 					_lowercase     (				)				->	Union[str, Any]:




					'''simple docstring'''







					__magic_name__							=    int(input('Enter the no. of variables\n'				)				)
					__magic_name__							=    [
					    float(_lowerCamelCase				)
					    for x in input(
					        'Enter the decimal representation of Minterms \'Spaces Separated\'\n'				).split()
					]
					__magic_name__							=    decimal_to_binary(_lowerCamelCase					,_lowerCamelCase				)

					__magic_name__							=    check(_lowerCamelCase				)
					print('Prime Implicants are:'				)
					print(_lowerCamelCase				)
					__magic_name__							=    prime_implicant_chart(_lowerCamelCase					,_lowerCamelCase				)

					__magic_name__							=    selection(_lowerCamelCase					,_lowerCamelCase				)
					print('Essential Prime Implicants are:'				)
					print(_lowerCamelCase				)


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						main()



from __future__ import annotations




def 					_lowercase     (				a_				:					list[int]				)				->	int:




					'''simple docstring'''







					if not nums:
										return 0
					__magic_name__							=    nums[0]
					__magic_name__							=    0
					for num in nums[1:]:
										__magic_name__,	__magic_name__							=    (
										    max_excluding + num,
										    max(a_					,a_				),
										)
					return max(a_					,a_				)


if __name__ == "__main__":
						import doctest

						doctest.testmod()




