





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

from collections.abc import Sequence
from typing import Literal

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

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

def 		_SCREAMING_SNAKE_CASE			(_UpperCAmelCase					:    int  ,     _UpperCAmelCase					:    Sequence[float]			):
 lowerCAmelCase    				= []
 for minterm in minterms:
  lowerCAmelCase    				= ''
  for _ in range(_UpperCAmelCase			):
   lowerCAmelCase    				= str(minterm % 2			) + string
   minterm //= 2
  temp.append(_UpperCAmelCase			)
 return temp

def 		_SCREAMING_SNAKE_CASE			(_UpperCAmelCase					:    str  ,     _UpperCAmelCase					:    str  ,     _UpperCAmelCase					:    int			):
 lowerCAmelCase    				= list(_UpperCAmelCase			)
 lowerCAmelCase    				= list(_UpperCAmelCase			)
 lowerCAmelCase    				= 0
 for i in range(len(_UpperCAmelCase			)			):
  if lista[i] != lista[i]:
   count_n += 1
 return count_n == count

def 		_SCREAMING_SNAKE_CASE			(_UpperCAmelCase					:    list[list[int]]  ,     _UpperCAmelCase					:    list[str]			):
 lowerCAmelCase    				= []
 lowerCAmelCase    				= [0] * len(_UpperCAmelCase			)
 for i in range(len(chart[0]			)			):
  lowerCAmelCase    				= 0
  lowerCAmelCase    				= -1
  for j in range(len(_UpperCAmelCase			)			):
   if chart[j][i] == 1:
    count += 1
    lowerCAmelCase    				= j
  if count == 1:
   lowerCAmelCase    				= 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			)			):
      lowerCAmelCase    				= 0
   temp.append(prime_implicants[i]			)
 while True:
  lowerCAmelCase    				= 0
  lowerCAmelCase    				= -1
  lowerCAmelCase    				= 0
  for i in range(len(_UpperCAmelCase			)			):
   lowerCAmelCase    				= chart[i].count(1			)
   if count_n > max_n:
    lowerCAmelCase    				= count_n
    lowerCAmelCase    				= 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			)			):
     lowerCAmelCase    				= 0

def 		_SCREAMING_SNAKE_CASE			(_UpperCAmelCase					:    list[str]  ,     _UpperCAmelCase					:    list[str]			):
 lowerCAmelCase    				= [[0 for x in range(len(_UpperCAmelCase			)			)] for x in range(len(_UpperCAmelCase			)			)]
 for i in range(len(_UpperCAmelCase			)			):
  lowerCAmelCase    				= prime_implicants[i].count('_'			)
  for j in range(len(_UpperCAmelCase			)			):
   if is_for_table(prime_implicants[i]  ,     binary[j]  ,     _UpperCAmelCase			):
    lowerCAmelCase    				= 1

 return chart

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

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

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


if __name__ == "__main__":
       import doctest

       doctest.testmod()
       main()









def    __lowerCamelCase   (      A__						: float						,						A__						: float						,						A__						: float						,						A__						: float						,						A__						: float						,						)     ->    float:
   lowerCamelCase_						:   List[str]		= [redshift, radiation_density, matter_density, dark_energy]
   if any(p < 0 for p in parameters					):
      raise ValueError("""All input parameters must be positive"""					)

   if any(p > 1 for p in parameters[1:4]					):
      raise ValueError("""Relative densities cannot be greater than one"""					)
   else:
      lowerCamelCase_						:   Union[str, Any]		= 1 - (matter_density + radiation_density + dark_energy)

      lowerCamelCase_						:   int		= (
          radiation_density * (redshift + 1) ** 4
          + matter_density * (redshift + 1) ** 3
          + curvature * (redshift + 1) ** 2
          + dark_energy
      )

      lowerCamelCase_						:   Dict		= hubble_constant * e_a ** (1 / 2)
      return hubble


if __name__ == "__main__":
      import doctest

      # run doctest
      doctest.testmod()

      # demo LCDM approximation
      snake_case__				:	str					       =					0.3

      print(
          hubble_parameter(
              hubble_constant=6_8.3,
              radiation_density=1e-4,
              matter_density=matter_density,
              dark_energy=1 - matter_density,
              redshift=0,
          )
      )





