class 			__snake_case   :
	def __init__(  self		,   snake_case__						)	->							None:
							'''simple docstring'''





							UpperCAmelCase    : Union[str, Any]      =data
							UpperCAmelCase    : BinaryTreeNode | None      =None
							UpperCAmelCase    : BinaryTreeNode | None      =None





def   lowerCAmelCase_ (				__lowerCAmelCase		,					__lowerCAmelCase						)->  Optional[Any]:






						'''simple docstring'''





						if node is None:
												UpperCAmelCase    : List[Any]      =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    : Dict      =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    : int      =insert(node.right_child		,					UpperCamelCase__						)
						return node





def   lowerCAmelCase_ (				__lowerCAmelCase						)->  Optional[Any]:  # if node is None,return






						'''simple docstring'''





						if node:
												UpperCAmelCase    : Dict      =inorder(node.left_child						)
												UpperCAmelCase    : str      =[*inorder_array, node.data]
												UpperCAmelCase    : List[Any]      =inorder_array + inorder(node.right_child						)
						else:
												UpperCAmelCase    : Union[str, Any]      =[]
						return inorder_array





def   lowerCAmelCase_ (				)->  Union[str, Any]:






						'''simple docstring'''





						UpperCAmelCase    : List[Any]      =insert(UpperCamelCase__		,					15						)
						insert(UpperCamelCase__		,					10						)
						insert(UpperCamelCase__		,					25						)
						insert(UpperCamelCase__		,					6						)
						insert(UpperCamelCase__		,					14						)
						insert(UpperCamelCase__		,					20						)
						insert(UpperCamelCase__		,					60						)
						return root





def   lowerCAmelCase_ (				)->  int:






						'''simple docstring'''





						UpperCAmelCase    : Dict      =make_tree()
						print('''Printing values of binary search tree in Inorder Traversal.'''						)
						inorder(UpperCamelCase__						)


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					main()

__snake_case			      =    [[0, 1, 1], [0, 0, 1], [1, 0, 0]]







class 			__snake_case   :
 def __init__(  self		,   snake_case__						)	->							Any:
       '''simple docstring'''





       UpperCAmelCase    : List[Any]      =name
       UpperCAmelCase    : Tuple      =[]
       UpperCAmelCase    : str      =[]
 def 	UpperCAmelCase__       (  self		,   snake_case__						)	->							int:
       '''simple docstring'''





       self.inbound.append(snake_case__						)
 def 	UpperCAmelCase__       (  self		,   snake_case__						)	->							Dict:
       '''simple docstring'''





       self.outbound.append(snake_case__						)






 def __repr__(  self						)	->							Union[str, Any]:
       '''simple docstring'''





       return f'''<node={self.name} inbound={self.inbound} outbound={self.outbound}>'''





def   lowerCAmelCase_ (				__lowerCAmelCase		,					__lowerCAmelCase=3		,					__lowerCAmelCase=0.85						)->  Any:






      '''simple docstring'''





      UpperCAmelCase    : List[Any]      ={}
      for node in nodes:
            UpperCAmelCase    : str      =1

      UpperCAmelCase    : str      ={}
      for node in nodes:
            UpperCAmelCase    : int      =len(node.outbound						)

      for i in range(__lowerCAmelCase						):
            print(f'''======= Iteration {i + 1} ======='''						)
            for _, node in enumerate(__lowerCAmelCase						):
                  UpperCAmelCase    : Optional[int]      =(1 - d) + d * sum(
                      ranks[ib] / outbounds[ib] for ib in node.inbound						)
            print(__lowerCAmelCase						)





def   lowerCAmelCase_ (				)->  Union[str, Any]:






      '''simple docstring'''





      UpperCAmelCase    : Union[str, Any]      =list(input('''Enter Names of the Nodes: '''						).split()						)

      UpperCAmelCase    : str      =[Node(__lowerCAmelCase						) for name in names]

      for ri, row in enumerate(__lowerCAmelCase						):
            for ci, col in enumerate(__lowerCAmelCase						):
                  if col == 1:
                        nodes[ci].add_inbound(names[ri]						)
                        nodes[ri].add_outbound(names[ci]						)

      print('''======= Nodes ======='''						)
      for node in nodes:
            print(__lowerCAmelCase						)

      page_rank(__lowerCAmelCase						)


if __name__ == "__main__":
     main()
