
from collections.abc import Iterable
from typing import Any




class 					_SCREAMING_SNAKE_CASE  :
      def __init__(			self		,	lowerCamelCase = None ):
          snake_case__						=				value
          snake_case__						=				None  # Added in order to delete a node easier
          snake_case__						=				None
          snake_case__						=				None



      def __repr__(			self ):
          from pprint import pformat

          if self.left is None and self.right is None:
              return str(self.value )
          return pformat({F"""{self.value}""": (self.left, self.right)}		,	indent=1 )





class 					_SCREAMING_SNAKE_CASE  :
      def __init__(			self		,	lowerCamelCase = None ):
          snake_case__						=				root
      def __str__(			self ):
          return str(self.root )
      def A_			(			self		,	lowerCamelCase		,	lowerCamelCase ):
          if new_children is not None:  # reset its kids
              snake_case__						=				node.parent
          if node.parent is not None:  # reset its parent
              if self.is_right(lowerCamelCase ):  # If it is the right children
                  snake_case__						=				new_children
              else:
                  snake_case__						=				new_children
          else:
              snake_case__						=				new_children
      def A_			(			self		,	lowerCamelCase ):
          if node.parent and node.parent.right:
              return node == node.parent.right
          return False
      def A_			(			self ):
          return self.root is None
      def A_			(			self		,	lowerCamelCase ):
          snake_case__						=				Node(lowerCamelCase )  # create a new Node
          if self.empty():  # if Tree is empty
              snake_case__						=				new_node  # set its root
          else:  # Tree is not empty
              snake_case__						=				self.root  # from root
              if parent_node is None:
                  return
              while True:  # While we don't get to a leaf
                  if value < parent_node.value:  # We go left
                      if parent_node.left is None:
                          snake_case__						=				new_node  # We insert the new node in a leaf
                          break
                      else:
                          snake_case__						=				parent_node.left
                  else:
                      if parent_node.right is None:
                          snake_case__						=				new_node
                          break
                      else:
                          snake_case__						=				parent_node.right
              snake_case__						=				parent_node
      def A_			(			self		,	*lowerCamelCase ):
          for value in values:
              self.__insert(lowerCamelCase )
      def A_			(			self		,	lowerCamelCase ):
          if self.empty():
              raise IndexError("Warning: Tree is empty! please use another." )
          else:
              snake_case__						=				self.root
              # use lazy evaluation here to avoid NoneType Attribute error
              while node is not None and node.value is not value:
                  snake_case__						=				node.left if value < node.value else node.right
              return node
      def A_			(			self		,	lowerCamelCase = None ):
          if node is None:
              if self.root is None:
                  return None
              snake_case__						=				self.root

          if not self.empty():
              while node.right is not None:
                  snake_case__						=				node.right
          return node
      def A_			(			self		,	lowerCamelCase = None ):
          if node is None:
              snake_case__						=				self.root
          if self.root is None:
              return None
          if not self.empty():
              snake_case__						=				self.root
              while node.left is not None:
                  snake_case__						=				node.left
          return node
      def A_			(			self		,	lowerCamelCase ):
          snake_case__						=				self.search(lowerCamelCase )  # Look for the node with that label
          if node is not None:
              if node.left is None and node.right is None:  # If it has no children
                  self.__reassign_nodes(lowerCamelCase		,	lowerCamelCase )
              elif node.left is None:  # Has only right children
                  self.__reassign_nodes(lowerCamelCase		,	node.right )
              elif node.right is None:  # Has only left children
                  self.__reassign_nodes(lowerCamelCase		,	node.left )
              else:
                  snake_case__						=				self.get_max(
                      node.left )  # Gets the max value of the left branch
                  self.remove(tmp_node.value )  # type: ignore
                  snake_case__						=				(
                      tmp_node.value  # type: ignore
                  )  # Assigns the value to the node to delete and keep tree structure
      def A_			(			self		,	lowerCamelCase ):
          if node is not None:
              yield node  # Preorder Traversal
              yield from self.preorder_traverse(node.left )
              yield from self.preorder_traverse(node.right )
      def A_			(			self		,	lowerCamelCase=None ):
          if traversal_function is None:
              return self.preorder_traverse(self.root )
          else:
              return traversal_function(self.root )
      def A_			(			self		,	lowerCamelCase		,	lowerCamelCase ):
          if node:
              self.inorder(lowerCamelCase		,	node.left )
              arr.append(node.value )
              self.inorder(lowerCamelCase		,	node.right )



      def A_			(			self		,	lowerCamelCase		,	lowerCamelCase ):
          snake_case__						=				[]
          self.inorder(lowerCamelCase		,	lowerCamelCase )  # append all values to list using inorder traversal
          return arr[k - 1]





def 	SCREAMING_SNAKE_CASE__    (      __lowerCAmelCase							):
    snake_case__						=				[]
    if curr_node is not None:
        snake_case__						=				postorder(curr_node.left							) + postorder(curr_node.right							) + [curr_node]
    return node_list





def 	SCREAMING_SNAKE_CASE__    (      ):
    snake_case__						=				(8, 3, 6, 1, 10, 14, 13, 4, 7)
    snake_case__						=				BinarySearchTree()
    for i in testlist:
        t.insert(__lowerCAmelCase							)

    # Prints all the elements of the list in order traversal
    print(__lowerCAmelCase							)

    if t.search(6							) is not None:
        print("The value 6 exists"							)
    else:
        print("The value 6 doesn't exist"							)

    if t.search(-1							) is not None:
        print("The value -1 exists"							)
    else:
        print("The value -1 doesn't exist"							)

    if not t.empty():
        print("Max Value: "    ,		t.get_max().value							)  # type: ignore
        print("Min Value: "    ,		t.get_min().value							)  # type: ignore

    for i in testlist:
        t.remove(__lowerCAmelCase							)
        print(__lowerCAmelCase							)


if __name__ == "__main__":
     import doctest

     doctest.testmod(verbose=True)





def 	SCREAMING_SNAKE_CASE__    (      __lowerCAmelCase    ,		__lowerCAmelCase							):
    return price * (1 + tax_rate)


if __name__ == "__main__":
     print(F'''{price_plus_tax(100, 0.2_5) = }''')
     print(F'''{price_plus_tax(1_2_5.5_0, 0.0_5) = }''')



