



import math





def 	__snake_case      (     _UpperCAmelCase							):

    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(_UpperCAmelCase							) + 1							)  ,					6							):
        if number % i == 0 or number % (i + 2) == 0:
            return False
    return True





def 	__snake_case      (     _UpperCAmelCase = 600851475143							):

    try:
        __a					=							int(_UpperCAmelCase							)
    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.'''							)
    __a					=							0
    if is_prime(_UpperCAmelCase							):
        return n
    while n % 2 == 0:
        n //= 2
    if is_prime(_UpperCAmelCase							):
        return n
    for i in range(3  ,					int(math.sqrt(_UpperCAmelCase							)							) + 1  ,					2							):
        if n % i == 0:
            if is_prime(n // i							):
                __a					=							n // i
                break
            elif is_prime(_UpperCAmelCase							):
                __a					=							i
    return max_number


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










from __future__ import annotations

class        _A			:



       def __init__(						self				:	str	,						__SCREAMING_SNAKE_CASE				:	int = 0):


           '''simple docstring'''

           __a					=							value
           __a					=							None
           __a					=							None





def 	__snake_case      (     _UpperCAmelCase  ,					_UpperCAmelCase							):
    if treea is None:
        return treea
    if treea is None:
        return treea

    __a					=							treea.value + treea.value
    __a					=							merge_two_binary_trees(treea.left  ,					treea.left							)
    __a					=							merge_two_binary_trees(treea.right  ,					treea.right							)
    return treea





def 	__snake_case      (     _UpperCAmelCase							):
    if root:
        print(root.value							)
        print_preorder(root.left							)
        print_preorder(root.right							)


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

 __snake_case		:List[str] 						=	Node(2)
 __snake_case		:List[str] 						=	Node(4)
 __snake_case		:Tuple 						=	Node(6)
 __snake_case		:str 						=	Node(9)
 __snake_case		:List[str] 						=	Node(5)

 print('''Tree1 is: ''')
 print_preorder(treea)
 print('''Tree2 is: ''')
 print_preorder(treea)
 __snake_case		:Union[str, Any] 						=	merge_two_binary_trees(treea, treea)
 print('''Merged Tree is: ''')
 print_preorder(merged_tree)





