"""simple docstring"""


from __future__ import annotations

from collections.abc import Sequence
from typing import Literal







def 					UpperCAmelCase    (		UpperCAmelCase						,					UpperCAmelCase					)				->      str | Literal[False]:
     snake_case_					       =					list(_UpperCAmelCase					)
     snake_case_					       =					list(_UpperCAmelCase					)
     snake_case_					       =					0
     for i in range(len(_UpperCAmelCase					)					):
          if lista[i] != lista[i]:
               count += 1
               snake_case_					       =					"_"
     if count > 1:
          return False
     else:
          return "".join(_UpperCAmelCase					)







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







def 					UpperCAmelCase    (		UpperCAmelCase						,					UpperCAmelCase					)				->      list[str]:
     snake_case_					       =					[]
     for minterm in minterms:
          snake_case_					       =					""
          for _ in range(_UpperCAmelCase					):
               snake_case_					       =					str(minterm % 2					) + string
               minterm //= 2
          temp.append(_UpperCAmelCase					)
     return temp







def 					UpperCAmelCase    (		UpperCAmelCase						,					UpperCAmelCase						,					UpperCAmelCase					)				->      bool:
     snake_case_					       =					list(_UpperCAmelCase					)
     snake_case_					       =					list(_UpperCAmelCase					)
     snake_case_					       =					0
     for i in range(len(_UpperCAmelCase					)					):
          if lista[i] != lista[i]:
               count_n += 1
     return count_n == count







def 					UpperCAmelCase    (		UpperCAmelCase						,					UpperCAmelCase					)				->      list[str]:
     snake_case_					       =					[]
     snake_case_					       =					[0] * len(_UpperCAmelCase					)
     for i in range(len(chart[0]					)					):
          snake_case_					       =					0
          snake_case_					       =					-1
          for j in range(len(_UpperCAmelCase					)					):
               if chart[j][i] == 1:
                    count += 1
                    snake_case_					       =					j
          if count == 1:
               snake_case_					       =					1
     for i in range(len(_UpperCAmelCase					)					):
          if select[i] == 1:
               for j in range(len(chart[0]					)					):
                    if chart[i][j] == 1:
                         for k in range(len(_UpperCAmelCase					)					):
                              snake_case_					       =					0
               temp.append(prime_implicants[i]					)
     while True:
          snake_case_					       =					0
          snake_case_					       =					-1
          snake_case_					       =					0
          for i in range(len(_UpperCAmelCase					)					):
               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(_UpperCAmelCase					)					):
                         snake_case_					       =					0







def 					UpperCAmelCase    (		UpperCAmelCase						,					UpperCAmelCase					)				->      list[list[int]]:
     snake_case_					       =					[[0 for x in range(len(_UpperCAmelCase					)					)] for x in range(len(_UpperCAmelCase					)					)]
     for i in range(len(_UpperCAmelCase					)					):
          snake_case_					       =					prime_implicants[i].count('_'					)
          for j in range(len(_UpperCAmelCase					)					):
               if is_for_table(prime_implicants[i]						,					binary[j]						,					_UpperCAmelCase					):
                    snake_case_					       =					1

     return chart







def 					UpperCAmelCase    (		)				->      None:
     snake_case_					       =					int(input('Enter the no. of variables\n'					)					)
     snake_case_					       =					[
         float(_UpperCAmelCase					)
         for x in input(
             'Enter the decimal representation of Minterms \'Spaces Separated\'\n'					).split()
     ]
     snake_case_					       =					decimal_to_binary(_UpperCAmelCase						,					_UpperCAmelCase					)

     snake_case_					       =					check(_UpperCAmelCase					)
     print('Prime Implicants are:'					)
     print(_UpperCAmelCase					)
     snake_case_					       =					prime_implicant_chart(_UpperCAmelCase						,					_UpperCAmelCase					)

     snake_case_					       =					selection(_UpperCAmelCase						,					_UpperCAmelCase					)
     print('Essential Prime Implicants are:'					)
     print(_UpperCAmelCase					)


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    main()


'''simple docstring'''




__SCREAMING_SNAKE_CASE       :     Dict     =  8.3_1_4_4_6_2  # Unit - J mol-1 K-1

def 	UpperCamelCase_							(					_UpperCAmelCase  :      float			,	_UpperCAmelCase  :      float			,	_UpperCAmelCase  :      float    )    ->    float:


       """simple docstring"""







       if moles < 0 or kelvin < 0 or volume < 0:
              raise ValueError("Invalid inputs. Enter positive value."    )
       return moles * kelvin * UNIVERSAL_GAS_CONSTANT / volume

def 	UpperCamelCase_							(					_UpperCAmelCase  :      float			,	_UpperCAmelCase  :      float			,	_UpperCAmelCase  :      float    )    ->    float:


       """simple docstring"""







       if moles < 0 or kelvin < 0 or pressure < 0:
              raise ValueError("Invalid inputs. Enter positive value."    )
       return moles * kelvin * UNIVERSAL_GAS_CONSTANT / pressure


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

  testmod()

