"""simple docstring"""







from __future__ import annotations


def 					a__ (						UpperCAmelCase__    :     Tuple     )->		Optional[int]:
						UpperCAmelCase__		=						[0] * max_one

						for i in range(0						,     UpperCAmelCase__     ):
												UpperCAmelCase__		=						i

						for i in range(2						,     UpperCAmelCase__     ):
												if totients[i] == i:
																		for j in range(UpperCAmelCase__						,     UpperCAmelCase__						,     UpperCAmelCase__     ):
																								totients[j] -= totients[j] // i

						return totients


def 					a__ (						UpperCAmelCase__    :     Optional[Any]						,     UpperCAmelCase__    :     Dict     )->		Union[str, Any]:
						return sorted(str(UpperCAmelCase__     )     ) == sorted(str(UpperCAmelCase__     )     )


def 					a__ (						UpperCAmelCase__    :     str = 1_0_0_0_0_0_0_0     )->		Union[str, Any]:
						UpperCAmelCase__		=						1  # i
						UpperCAmelCase__		=						0  # φ(i)
						UpperCAmelCase__		=						get_totients(max_n + 1     )

						for i in range(2						,     max_n + 1     ):
												UpperCAmelCase__		=						totients[i]

												if i * min_denominator < min_numerator * t and has_same_digits(UpperCAmelCase__						,     UpperCAmelCase__     ):
																		UpperCAmelCase__		=						i
																		UpperCAmelCase__		=						t

						return min_numerator


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


"""simple docstring"""







class      _lowercase						:

				def __init__(       self    :      Tuple    ,      _lowercase    :      int       ):


										'''simple docstring'''
										UpperCAmelCase__   		=						data
										UpperCAmelCase__   		=						None
										UpperCAmelCase__   		=						None


def 					a__ (						UpperCAmelCase__    :     BinaryTreeNode | None						,     UpperCAmelCase__    :     int     )->		BinaryTreeNode | None:
						if node is None:
												UpperCAmelCase__   		=						BinaryTreeNode(UpperCAmelCase__     )
												return node

						# binary search tree is not empty,
						# so we will insert it into the tree
						# if new_value is less than value of data in node,
						#  add it to left subtree and proceed recursively
						if new_value < node.data:
												UpperCAmelCase__   		=						insert(node.left_child						,     UpperCAmelCase__     )
						else:
												# if new_value is greater than value of data in node,
												#  add it to right subtree and proceed recursively
												UpperCAmelCase__   		=						insert(node.right_child						,     UpperCAmelCase__     )
						return node


def 					a__ (						UpperCAmelCase__    :     None | BinaryTreeNode     )->		list[int]:  # if node is None,return
						if node:
												UpperCAmelCase__   		=						inorder(node.left_child     )
												UpperCAmelCase__   		=						[*inorder_array, node.data]
												UpperCAmelCase__   		=						inorder_array + inorder(node.right_child     )
						else:
												UpperCAmelCase__   		=						[]
						return inorder_array


def 					a__ (						)->		BinaryTreeNode | None:
						UpperCAmelCase__   		=						insert(UpperCAmelCase__						,     1_5     )
						insert(UpperCAmelCase__						,     1_0     )
						insert(UpperCAmelCase__						,     2_5     )
						insert(UpperCAmelCase__						,     6     )
						insert(UpperCAmelCase__						,     1_4     )
						insert(UpperCAmelCase__						,     2_0     )
						insert(UpperCAmelCase__						,     6_0     )
						return root


def 					a__ (						)->		None:
						# main function
						UpperCAmelCase__   		=						make_tree()
						print("""Printing values of binary search tree in Inorder Traversal."""     )
						inorder(UpperCAmelCase__     )


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						main()

