





'''simple docstring'''

from __future__ import annotations

from collections.abc import Sequence
from typing import Literal

def     __magic_name__							(				__UpperCAmelCase				,						__UpperCAmelCase   )    ->       List[str]:

   '''simple docstring'''







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

def     __magic_name__							(				__UpperCAmelCase   )    ->       List[Any]:

   '''simple docstring'''







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

def     __magic_name__							(				__UpperCAmelCase				,						__UpperCAmelCase   )    ->       List[str]:

   '''simple docstring'''







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

def     __magic_name__							(				__UpperCAmelCase				,						__UpperCAmelCase				,						__UpperCAmelCase   )    ->       Dict:

   '''simple docstring'''







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

def     __magic_name__							(				__UpperCAmelCase				,						__UpperCAmelCase   )    ->       Tuple:

   '''simple docstring'''







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

def     __magic_name__							(				__UpperCAmelCase				,						__UpperCAmelCase   )    ->       str:

   '''simple docstring'''







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

   return chart

def     __magic_name__							(				)    ->       Tuple:

   '''simple docstring'''







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

   __SCREAMING_SNAKE_CASE   				=							check(_UpperCAmelCase   )
   print("""Prime Implicants are:"""   )
   print(_UpperCAmelCase   )
   __SCREAMING_SNAKE_CASE   				=							prime_implicant_chart(_UpperCAmelCase				,						_UpperCAmelCase   )

   __SCREAMING_SNAKE_CASE   				=							selection(_UpperCAmelCase				,						_UpperCAmelCase   )
   print("""Essential Prime Implicants are:"""   )
   print(_UpperCAmelCase   )


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    main()












"""simple docstring"""
from __future__ import annotations

def 		_SCREAMING_SNAKE_CASE			(_UpperCAmelCase					:    list[float]			):
 lowerCAmelCase    				= 0.00
 lowerCAmelCase    				= 0
 for resistor in resistors:
  if resistor <= 0:
   lowerCAmelCase    				= F'Resistor at index {index} has a negative or zero value!'
   raise ValueError(_UpperCAmelCase			)
  first_sum += 1 / float(_UpperCAmelCase			)
  index += 1
 return 1 / first_sum

def 		_SCREAMING_SNAKE_CASE			(_UpperCAmelCase					:    list[float]			):
 lowerCAmelCase    				= 0.00
 lowerCAmelCase    				= 0
 for resistor in resistors:
  sum_r += resistor
  if resistor < 0:
   lowerCAmelCase    				= F'Resistor at index {index} has a negative value!'
   raise ValueError(_UpperCAmelCase			)
  index += 1
 return sum_r


if __name__ == "__main__":
       import doctest

       doctest.testmod()





