def       lowerCAmelCase_     (		lowercase:							int = 10  ,					lowercase:							int = 1_000  ,					lowercase:							bool = True		)    ->				int:







 '''simple docstring'''
 assert (
     isinstance(lowercase  ,					lowercase		)
     and isinstance(lowercase  ,					lowercase		)
     and isinstance(lowercase  ,					lowercase		)
 ), "Invalid type of value(s) specified to function!"

 if min_val > max_val:
  raise ValueError('''Invalid value for min_val or max_val (min_value < max_value)'''		)
 return min_val if option else max_val




def       lowerCAmelCase_     (		lowercase:							int  ,					lowercase:							int		)    ->				int:







 '''simple docstring'''
 return int((number_a + number_a) / 2		)




def       lowerCAmelCase_     (		lowercase:							int  ,					lowercase:							int  ,					lowercase:							int		)    ->				None:







 '''simple docstring'''
 assert (
     isinstance(lowercase  ,					lowercase		) and isinstance(lowercase  ,					lowercase		) and isinstance(lowercase  ,					lowercase		)
 ), 'argument values must be type of "int"'

 if lower > higher:
  raise ValueError('''argument value for lower and higher must be(lower > higher)'''		)

 if not lower < to_guess < higher:
  raise ValueError(
      '''guess value must be within the range of lower and higher value'''		)

 def answer(lowercase:							int		) -> str:
  if number > to_guess:
   return "high"
  elif number < to_guess:
   return "low"
  else:
   return "same"

 print('''started...'''		)

 _UpperCamelCase:     int							= lower
 _UpperCamelCase:     Optional[Any]							= higher

 _UpperCamelCase:     Dict							= []

 while True:
  _UpperCamelCase:     Dict							= get_avg(lowercase  ,					lowercase		)
  last_numbers.append(lowercase		)

  if answer(lowercase		) == "low":
   _UpperCamelCase:     Optional[int]							= number
  elif answer(lowercase		) == "high":
   _UpperCamelCase:     int							= number
  else:
   break

 print(F"""guess the number : {last_numbers[-1]}"""		)
 print(F"""details : {last_numbers!s}"""		)




def       lowerCAmelCase_     (		)    ->				None:







 '''simple docstring'''
 _UpperCamelCase:     List[str]							= int(input('''Enter lower value : '''		).strip()		)
 _UpperCamelCase:     str							= int(input('''Enter high value : '''		).strip()		)
 _UpperCamelCase:     List[str]							= int(input('''Enter value to guess : '''		).strip()		)
 guess_the_number(lowercase  ,					lowercase  ,					lowercase		)


if __name__ == "__main__":
  main()
def       lowerCAmelCase_     (		lowercase:							int = 600_851_475_143		)    ->				int:







 '''simple docstring'''

 try:
  _UpperCamelCase:     Optional[int]							= int(lowercase		)
 except (TypeError, ValueError):
  raise TypeError('''Parameter n must be int or castable to int.'''		)
 if n <= 0:
  raise ValueError('''Parameter n must be greater than or equal to one.'''		)
 _UpperCamelCase:     Dict							= 1
 _UpperCamelCase:     Tuple							= 2
 while i * i <= n:
  while n % i == 0:
   _UpperCamelCase:     List[Any]							= i
   n //= i
  i += 1
 if n > 1:
  _UpperCamelCase:     Any							= n
 return int(lowercase		)


if __name__ == "__main__":
  print(f"""{solution() = }""")