


"""simple docstring"""
def 				_snake_case      (   __snake_case							:      int   ):




   """simple docstring"""







   _lowerCamelCase	:					Dict   =		int(__snake_case   )
   if n_element < 1:
      _lowerCamelCase	:					List[Any]   =		ValueError("""a should be a positive number"""   )
      raise my_error

   _lowerCamelCase	:					Dict   =		[1]
   _lowerCamelCase   ,    _lowerCamelCase   ,    _lowerCamelCase	:					Any   =		(0, 0, 0)
   _lowerCamelCase	:					Tuple   =		1
   while index < n_element:
      while hamming_list[i] * 2 <= hamming_list[-1]:
         i += 1
      while hamming_list[j] * 3 <= hamming_list[-1]:
         j += 1
      while hamming_list[k] * 5 <= hamming_list[-1]:
         k += 1
      hamming_list.append(
          min(hamming_list[i] * 2						, hamming_list[j] * 3						, hamming_list[k] * 5   )   )
      index += 1
   return hamming_list


if __name__ == "__main__":
 UpperCAmelCase				=						input("""Enter the last number (nth term) of the Hamming Number Series: """)
 print("""Formula of Hamming Number Series => 2^i * 3^j * 5^k""")
 UpperCAmelCase				=						hamming(int(n))
 print("""-----------------------------------------------------""")
 print(f'''The list with nth numbers is: {hamming_numbers}''')
 print("""-----------------------------------------------------""")









def 		_a       ( a					:list					)				->     list:

 if len(a					) < 2:
  return collection

 def circle_sort_util(a					:list      ,				a					:int      ,				a					:int					) -> bool:
  a						    = False

  if low == high:
   return swapped

  a						    = low
  a						    = high

  while left < right:
   if collection[left] > collection[right]:
    a    ,	a						    = (
        collection[right],
        collection[left],
    )
    a						    = True

   left += 1
   right -= 1

  if left == right and collection[left] > collection[right + 1]:
   a    ,	a						    = (
       collection[right + 1],
       collection[left],
   )

   a						    = True

  a						    = low + int((high - low) / 2					)
  a						    = circle_sort_util(a      ,				a      ,				a					)
  a						    = circle_sort_util(a      ,				mid + 1      ,				a					)

  return swapped or left_swap or right_swap

 a						    = True

 while is_not_sorted is True:
  a						    = circle_sort_util(a      ,				0      ,				len(a					) - 1					)

 return collection


if __name__ == "__main__":
     UpperCAmelCase__							  =						input("Enter numbers separated by a comma:\n").strip()
     UpperCAmelCase__							  =						[int(item) for item in user_input.split(",")]
     print(circle_sort(unsorted))


