





"""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()












"""simple docstring"""
def 		_SCREAMING_SNAKE_CASE			(_UpperCAmelCase					:    str			):
 return " ".join(input_str.split()[::-1]			)


if __name__ == "__main__":
       import doctest

       doctest.testmod()





