
"""simple docstring"""







from __future__ import annotations

from collections.abc import Generator




def 			A_			(					lowercase      )     ->							Generator[int, None, None]:


     """simple docstring"""







     if not isinstance(__snake_case						, __snake_case      ) or n < 1:
          raise Exception("""Sequence only defined for positive integers"""      )

     yield n
     while n != 1:
          if n % 2 == 0:
               n //= 2
          else:
               UpperCAmelCase_						:    Any    					=  3 * n + 1
          yield n




def 			A_			(					)     ->							Optional[Any]:


     """simple docstring"""







     UpperCAmelCase_						:    str    					=  43
     UpperCAmelCase_						:    Union[str, Any]    					=  tuple(collatz_sequence(__snake_case      )      )
     print(__snake_case      )
     print(f'''Collatz sequence from {n} took {len(__snake_case      )} steps.'''      )


if __name__ == "__main__":
       main()



"""simple docstring"""







from __future__ import annotations



class 		UpperCAmelCase_	:
 """simple docstring"""




 def __init__( self       : Any     ,   a_       : int = 0 )->					None:



      """simple docstring"""

      UpperCAmelCase_						:    Tuple    					=  value
      UpperCAmelCase_						:    Node | None    					=  None
      UpperCAmelCase_						:    Node | None    					=  None




def 			A_			(					lowercase						, lowercase      )     ->							Node | None:


     """simple docstring"""







     if treea is None:
          return treea
     if treea is None:
          return treea

     UpperCAmelCase_						:    int    					=  treea.value + treea.value
     UpperCAmelCase_						:    List[str]    					=  merge_two_binary_trees(treea.left						, treea.left      )
     UpperCAmelCase_						:    List[str]    					=  merge_two_binary_trees(treea.right						, treea.right      )
     return treea




def 			A_			(					lowercase      )     ->							None:


     """simple docstring"""







     if root:
          print(root.value      )
          print_preorder(root.left      )
          print_preorder(root.right      )


if __name__ == "__main__":
       lowercase_						    =					Node(1)
       lowercase_						    =					Node(2)
       lowercase_						    =					Node(3)
       lowercase_						    =					Node(4)

       lowercase_						    =					Node(2)
       lowercase_						    =					Node(4)
       lowercase_						    =					Node(6)
       lowercase_						    =					Node(9)
       lowercase_						    =					Node(5)

       print("Tree1 is: ")
       print_preorder(treea)
       print("Tree2 is: ")
       print_preorder(treea)
       lowercase_						    =					merge_two_binary_trees(treea, treea)
       print("Merged Tree is: ")
       print_preorder(merged_tree)

