
from collections.abc import Iterable
from typing import Any







class 					lowerCamelCase		:





     def __init__(self				:   Optional[int]    ,   _A				:   int | None = None       )						->						Dict:
         snake_case								= value
         snake_case								= None  # Added in order to delete a node easier
         snake_case								= None
         snake_case								= None





     def __repr__(self				:   List[str]       )						->						str:
         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 					lowerCamelCase		:





     def __init__(self				:   str    ,   _A				:   Node | None = None       )						->						Optional[int]:
         snake_case								= root





     def __str__(self				:   Optional[Any]       )						->						str:
         return str(self.root       )





     def 		UpperCAmelCase(self				:   str    ,   _A				:   Node    ,   _A				:   Node | None       )						->						None:


         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(_A       ):  # If it is the right children
                 snake_case								= new_children
             else:
                 snake_case								= new_children
         else:
             snake_case								= new_children





     def 		UpperCAmelCase(self				:   Tuple    ,   _A				:   Node       )						->						bool:


         if node.parent and node.parent.right:
             return node == node.parent.right
         return False





     def 		UpperCAmelCase(self				:   Optional[int]       )						->						bool:
         return self.root is None





     def 		UpperCAmelCase(self				:   Any    ,   _A				:   Optional[int]       )						->						None:
         snake_case								= Node(_A       )  # 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 		UpperCAmelCase(self				:   Optional[int]    ,   *_A				:   int       )						->						None:


         for value in values:
             self.__insert(_A       )





     def 		UpperCAmelCase(self				:   Dict    ,   _A				:   Optional[int]       )						->						Node | None:


         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 		UpperCAmelCase(self				:   Optional[Any]    ,   _A				:   Node | None = None       )						->						Node | 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 		UpperCAmelCase(self				:   Tuple    ,   _A				:   Node | None = None       )						->						Node | 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 		UpperCAmelCase(self				:   int    ,   _A				:   int       )						->						None:
         snake_case								= self.search(_A       )  # 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(_A    ,   _A       )
             elif node.left is None:  # Has only right children
                 self.__reassign_nodes(_A    ,   node.right       )
             elif node.right is None:  # Has only left children
                 self.__reassign_nodes(_A    ,   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 		UpperCAmelCase(self				:   Optional[Any]    ,   _A				:   Node | None       )						->						Iterable:


         if node is not None:
             yield node  # Preorder Traversal
             yield from self.preorder_traverse(node.left       )
             yield from self.preorder_traverse(node.right       )





     def 		UpperCAmelCase(self				:   Tuple    ,   _A				:   Tuple=None       )						->						Any:


         if traversal_function is None:
             return self.preorder_traverse(self.root       )
         else:
             return traversal_function(self.root       )





     def 		UpperCAmelCase(self				:   int    ,   _A				:   list    ,   _A				:   Node | None       )						->						None:


         if node:
             self.inorder(_A    ,   node.left       )
             arr.append(node.value       )
             self.inorder(_A    ,   node.right       )





     def 		UpperCAmelCase(self				:   str    ,   _A				:   int    ,   _A				:   Node       )						->						int:
         snake_case								= []
         self.inorder(_A    ,   _A       )  # append all values to list using inorder traversal
         return arr[k - 1]



def 						lowercase_      (       A__		)							->							Tuple:
    """simple docstring"""

    snake_case								= []
    if curr_node is not None:
        snake_case								= postorder(curr_node.left		) + postorder(curr_node.right		) + [curr_node]
    return node_list



def 						lowercase_      (       )							->							str:
    """simple docstring"""

    snake_case								= (8, 3, 6, 1, 10, 14, 13, 4, 7)
    snake_case								= BinarySearchTree()
    for i in testlist:
        t.insert(__a		)

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

    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(__a		)
        print(__a		)


if __name__ == "__main__":
   import doctest

   doctest.testmod(verbose=True)



from operator import delitem, getitem, setitem

import pytest

from data_structures.hashing.hash_map import HashMap



def 						lowercase_      (       A__		)							->							str:
    """simple docstring"""

    return getitem, k



def 						lowercase_      (       A__			,		A__		)							->							str:
    """simple docstring"""

    return setitem, k, v



def 						lowercase_      (       A__		)							->							List[Any]:
    """simple docstring"""

    return delitem, k



def 						lowercase_      (       A__			,		A__			,		*A__		)							->							str:
    """simple docstring"""

    try:
        return fun(A__			,		*A__		), None
    except Exception as e:
        return None, e


_A   =			(
    _set("key_a", "val_a"),
    _set("key_b", "val_b"),
)

_A   =			[
    _set("key_a", "val_a"),
    _set("key_a", "val_b"),
]

_A   =			[
    _set("key_a", "val_a"),
    _set("key_b", "val_b"),
    _del("key_a"),
    _del("key_b"),
    _set("key_a", "val_a"),
    _del("key_a"),
]

_A   =			[
    _get("key_a"),
    _del("key_a"),
    _set("key_a", "val_a"),
    _del("key_a"),
    _del("key_a"),
    _get("key_a"),
]

_A   =			[
    *[_set(x, x) for x in range(5)],  # guaranteed upsize
]

_A   =			[
    *[_set(x, x) for x in range(5)],  # guaranteed upsize
    *[_del(x) for x in range(5)],
    _set("key_a", "val_b"),
]



@pytest.mark.parametrize(
    "operations"			,		(
        pytest.param(_add_items			,		id="add items"		),
        pytest.param(_overwrite_items			,		id="overwrite items"		),
        pytest.param(_delete_items			,		id="delete items"		),
        pytest.param(_access_absent_items			,		id="access absent items"		),
        pytest.param(_add_with_resize_up			,		id="add with resize up"		),
        pytest.param(_add_with_resize_down			,		id="add with resize down"		),
    )			,		)
def 						lowercase_      (       A__		)							->							List[Any]:
    """simple docstring"""

    snake_case								= HashMap(initial_block_size=4		)
    snake_case								= {}
    for _, (fun, *args) in enumerate(A__		):
        snake_case					,							snake_case								= _run_operation(A__			,		A__			,		*A__		)
        snake_case					,							snake_case								= _run_operation(A__			,		A__			,		*A__		)
        assert my_res == py_res
        assert str(A__		) == str(A__		)
        assert set(A__		) == set(A__		)
        assert len(A__		) == len(A__		)
        assert set(my.items()		) == set(py.items()		)





def 						lowercase_      (       )							->							Optional[int]:
    """simple docstring"""

    def is_public(A__		) -> bool:
        return not name.startswith("_"		)

    snake_case								= {name for name in dir({}		) if is_public(A__		)}
    snake_case								= {name for name in dir(HashMap()		) if is_public(A__		)}

    assert dict_public_names > hash_public_names

