





import math






def 				_lowerCAmelCase			(	_a :       int      )						->      bool:

     if 1 < number < 4:
          # 2 and 3 are primes
          return True
     elif number < 2 or number % 2 == 0 or number % 3 == 0:
          # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
          return False

     # All primes number are in format of 6k +/- 1
     for i in range(5       , int(math.sqrt(_a      ) + 1      )       , 6      ):
          if number % i == 0 or number % (i + 2) == 0:
               return False
     return True






def 				_lowerCAmelCase			(	_a :       int = 60_08_51_47_51_43      )						->      int:

     try:
          lowerCAmelCase_       :							Dict			 =		int(_a      )
     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."""      )
     lowerCAmelCase_       :							Dict			 =		0
     if is_prime(_a      ):
          return n
     while n % 2 == 0:
          n //= 2
     if is_prime(_a      ):
          return n
     for i in range(3       , int(math.sqrt(_a      )      ) + 1       , 2      ):
          if n % i == 0:
               if is_prime(n // i      ):
                    lowerCAmelCase_       :							Union[str, Any]			 =		n // i
                    break
               elif is_prime(_a      ):
                    lowerCAmelCase_       :							int			 =		i
     return max_number


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








"""simple docstring"""





from __future__ import annotations


class   _lowercase			:


      def __init__(     self					:						int				, a					:						int = 0    ):





            """simple docstring"""







            __snake_case   :     Optional[Any]	      =value
            __snake_case   :     Node | None	      =None
            __snake_case   :     Node | None	      =None



def      __lowercase       (     a			:					Node | None							,		a			:					Node | None			)       ->       Node | None:
      if treea is None:
            return treea
      if treea is None:
            return treea

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



def      __lowercase       (     a			:					Node | None			)       ->       None:
      if root:
            print(root.value			)
            print_preorder(root.left			)
            print_preorder(root.right			)


if __name__ == "__main__":
    UpperCamelCase_						:					List[str]      				=			Node(1)
    UpperCamelCase_						:					List[Any]      				=			Node(2)
    UpperCamelCase_						:					Optional[Any]      				=			Node(3)
    UpperCamelCase_						:					int      				=			Node(4)

    UpperCamelCase_						:					int      				=			Node(2)
    UpperCamelCase_						:					List[str]      				=			Node(4)
    UpperCamelCase_						:					Any      				=			Node(6)
    UpperCamelCase_						:					Union[str, Any]      				=			Node(9)
    UpperCamelCase_						:					Dict      				=			Node(5)

    print("""Tree1 is: """)
    print_preorder(treea)
    print("""Tree2 is: """)
    print_preorder(treea)
    UpperCamelCase_						:					Optional[Any]      				=			merge_two_binary_trees(treea, treea)
    print("""Merged Tree is: """)
    print_preorder(merged_tree)


