






'''simple docstring'''







def 			SCREAMING_SNAKE_CASE_	(UpperCamelCase				)				->	list:
							lowerCamelCase__ :     Dict	  =	int(UpperCamelCase				)
							if n_element < 1:
														lowerCamelCase__ :     Tuple	  =	ValueError("""a should be a positive number"""				)
														raise my_error

							lowerCamelCase__ :     Any	  =	[1]
							lowerCamelCase__  ,		lowerCamelCase__  ,		lowerCamelCase__ :     Optional[int]	  =	(0, 0, 0)
							lowerCamelCase__ :     Dict	  =	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__":
			_A     :      Dict   					=input('''Enter the last number (nth term) of the Hamming Number Series: ''')
			print('''Formula of Hamming Number Series => 2^i * 3^j * 5^k''')
			_A     :      Dict   					=hamming(int(n))
			print('''-----------------------------------------------------''')
			print(F'The list with nth numbers is: {hamming_numbers}')
			print('''-----------------------------------------------------''')









'''simple docstring'''







from __future__ import annotations

from typing import Any

class _lowercase     (    _lowercase		):
							pass



class _lowercase     :




							def __init__(							self:    Optional[int]      ,							UpperCamelCase__:    Any					):
														lowerCamelCase__ :     Any	  =	data
														lowerCamelCase__ :     Node | None	  =	None




							def __iter__(							self:    List[Any]					):
														lowerCamelCase__ :     Optional[Any]	  =	self
														lowerCamelCase__ :     int	  =	[]
														while node:
																					if node in visited:
																												raise ContainsLoopError
																					visited.append(UpperCamelCase__					)
																					yield node.data
																					lowerCamelCase__ :     List[str]	  =	node.next_node




							@property
							def 		lowerCamelCase_    (							self:    Optional[Any]					):
														try:
																					list(self					)
																					return False
														except ContainsLoopError:
																					return True


if __name__ == "__main__":
			_A     :      Any   					=Node(1)
			_A     :      Optional[int]   					=Node(2)
			_A     :      Dict   					=Node(3)
			_A     :      Optional[Any]   					=Node(4)
			print(root_node.has_loop)  # False
			_A     :      Any   					=root_node.next_node
			print(root_node.has_loop)  # True

			_A     :      Dict   					=Node(5)
			_A     :      Union[str, Any]   					=Node(6)
			_A     :      str   					=Node(5)
			_A     :      int   					=Node(6)
			print(root_node.has_loop)  # False

			_A     :      Optional[Any]   					=Node(1)
			print(root_node.has_loop)  # False

