






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

from dataclasses import dataclass







@dataclass
class      UpperCamelCase_			:
	__magic_name__       =							42
	__magic_name__       =							None
	__magic_name__       =							None





def 							snake_case (  A__		):

			# Validation
			def is_valid_tree(A__		) -> bool:
						if node is None:
									return True

						if not isinstance(A__      ,A__		):
									return False

						try:
									float(node.data		)
						except (TypeError, ValueError):
									return False

						return is_valid_tree(node.left		) and is_valid_tree(node.right		)

			if not is_valid_tree(A__		):
						raise ValueError(
						    "Each node should be type of TreeNode and data should be float."		)

			def is_binary_search_tree_recursive_check(
			    A__      ,A__      ,A__		) -> bool:

						if node is None:
									return True

						return (
						    left_bound < node.data < right_bound
						    and is_binary_search_tree_recursive_check(node.left      ,A__      ,node.data		)
						    and is_binary_search_tree_recursive_check(
						        node.right      ,node.data      ,A__		)
						)

			return is_binary_search_tree_recursive_check(A__      ,-float("inf"		)      ,float("inf"		)		)


if __name__ == "__main__":
			import doctest

			doctest.testmod()







'''simple docstring'''
def 					lowerCamelCase_ ( __UpperCamelCase					:       int		)					->	list:







     """simple docstring"""
     _A				=							int(__UpperCamelCase		)
     if n_element < 1:
          _A				=							ValueError('a should be a positive number'		)
          raise my_error

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





