




'''simple docstring'''





from __future__ import annotations

from collections.abc import Sequence
from typing import Literal


def      UpperCamelCase_(	snake_case							:       str							,				snake_case							:       str     ):

							'''simple docstring'''






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


def      UpperCamelCase_(	snake_case							:       list[str]     ):

							'''simple docstring'''






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


def      UpperCamelCase_(	snake_case							:       int							,				snake_case							:       Sequence[float]     ):

							'''simple docstring'''






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


def      UpperCamelCase_(	snake_case							:       str							,				snake_case							:       str							,				snake_case							:       int     ):

							'''simple docstring'''






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


def      UpperCamelCase_(	snake_case							:       list[list[int]]							,				snake_case							:       list[str]     ):

							'''simple docstring'''






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


def      UpperCamelCase_(	snake_case							:       list[str]							,				snake_case							:       list[str]     ):

							'''simple docstring'''






							snake_case_						=      [[0 for x in range(len(snake_case     )     )] for x in range(len(snake_case     )     )]
							for i in range(len(snake_case     )     ):
														snake_case_						=      prime_implicants[i].count("_"     )
														for j in range(len(snake_case     )     ):
																					if is_for_table(prime_implicants[i]							,				binary[j]							,				snake_case     ):
																												snake_case_						=      1

							return chart


def      UpperCamelCase_(	):

							'''simple docstring'''






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

							snake_case_						=      check(snake_case     )
							print("Prime Implicants are:"     )
							print(snake_case     )
							snake_case_						=      prime_implicant_chart(snake_case							,				snake_case     )

							snake_case_						=      selection(snake_case							,				snake_case     )
							print("Essential Prime Implicants are:"     )
							print(snake_case     )


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		main()











from __future__ import annotations
def      _A       (		SCREAMING_SNAKE_CASE     :   list						):





  """simple docstring"""



  if len(SCREAMING_SNAKE_CASE						) == 0:
    return []
  a__					,							a__	:					int										=min(SCREAMING_SNAKE_CASE						), max(SCREAMING_SNAKE_CASE						)
  a__	:					Optional[int]										=int(max_value - min_value						) + 1
  a__	:					list[list]										=[[] for _ in range(SCREAMING_SNAKE_CASE						)]

  for i in my_list:
    buckets[int(i - min_value						)].append(SCREAMING_SNAKE_CASE						)

  return [v for bucket in buckets for v in sorted(SCREAMING_SNAKE_CASE						)]


if __name__ == "__main__":
     from doctest import testmod

     testmod()
     assert bucket_sort([4, 5, 3, 2, 1]) == [1, 2, 3, 4, 5]
     assert bucket_sort([0, 1, -10, 15, 2, -2]) == [-10, -2, 0, 1, 2, 15]






