


'''simple docstring'''



from collections.abc import Iterator, MutableMapping
from dataclasses import dataclass
from typing import Generic, TypeVar

__lowercase     :						List[Any]	=     TypeVar('KEY')
__lowercase     :						str	=     TypeVar('VAL')





@dataclass(frozen=lowerCAmelCase_		,				slots=lowerCAmelCase_ )
class 							__UpperCamelCase    (		Generic[KEY, VAL] ):
	A_           =   42
	A_           =   42





class 							__UpperCamelCase    (		_Item ):




	def __init__(       self							):

						'''simple docstring'''





						super().__init__(__a						,    __a							)





	def __bool__(       self							):

						'''simple docstring'''





						return False



__lowercase     :						Union[str, Any]	=     _DeletedItem()





class 							__UpperCamelCase    (		MutableMapping[KEY, VAL] ):




	def __init__(       self						,    __a = 8						,    __a = 0.75							):

						'''simple docstring'''





						__a      :	Dict    =  initial_block_size
						__a      :	list[_Item | None]    =  [None] * initial_block_size
						assert 0.0 < capacity_factor < 1.0
						__a      :	Optional[Any]    =  capacity_factor
						__a      :	str    =  0




	def 				__UpperCAmelCase							(       self						,    __a							):

						'''simple docstring'''





						return hash(__a							) % len(self._buckets							)




	def 				__UpperCAmelCase							(       self						,    __a							):

						'''simple docstring'''





						return (ind + 1) % len(self._buckets							)




	def 				__UpperCAmelCase							(       self						,    __a						,    __a						,    __a							):

						'''simple docstring'''





						__a      :	List[Any]    =  self._buckets[ind]
						if not stored:
											__a      :	Union[str, Any]    =  _Item(__a						,    __a							)
											self._len += 1
											return True
						elif stored.key == key:
											__a      :	Optional[Any]    =  _Item(__a						,    __a							)
											return True
						else:
											return False




	def 				__UpperCAmelCase							(       self							):

						'''simple docstring'''





						__a      :	Tuple    =  len(self._buckets							) * self._capacity_factor
						return len(self							) >= int(__a							)




	def 				__UpperCAmelCase							(       self							):

						'''simple docstring'''





						if len(self._buckets							) <= self._initial_block_size:
											return False
						__a      :	str    =  len(self._buckets							) * self._capacity_factor / 2
						return len(self							) < limit




	def 				__UpperCAmelCase							(       self						,    __a							):

						'''simple docstring'''





						__a      :	Optional[int]    =  self._buckets
						__a      :	int    =  [None] * new_size
						__a      :	str    =  0
						for item in old_buckets:
											if item:
																self._add_item(item.key						,    item.val							)




	def 				__UpperCAmelCase							(       self							):

						'''simple docstring'''





						self._resize(len(self._buckets							) * 2							)




	def 				__UpperCAmelCase							(       self							):

						'''simple docstring'''





						self._resize(len(self._buckets							) // 2							)




	def 				__UpperCAmelCase							(       self						,    __a							):

						'''simple docstring'''





						__a      :	Dict    =  self._get_bucket_index(__a							)
						for _ in range(len(self._buckets							)							):
											yield ind
											__a      :	Optional[int]    =  self._get_next_ind(__a							)




	def 				__UpperCAmelCase							(       self						,    __a						,    __a							):

						'''simple docstring'''





						for ind in self._iterate_buckets(__a							):
											if self._try_set(__a						,    __a						,    __a							):
																break




	def __setitem__(       self						,    __a						,    __a							):

						'''simple docstring'''





						if self._is_full():
											self._size_up()

						self._add_item(__a						,    __a							)




	def __delitem__(       self						,    __a							):

						'''simple docstring'''





						for ind in self._iterate_buckets(__a							):
											__a      :	Tuple    =  self._buckets[ind]
											if item is None:
																raise KeyError(__a							)
											if item is _deleted:
																continue
											if item.key == key:
																__a      :	Tuple    =  _deleted
																self._len -= 1
																break
						if self._is_sparse():
											self._size_down()




	def __getitem__(       self						,    __a							):

						'''simple docstring'''





						for ind in self._iterate_buckets(__a							):
											__a      :	List[Any]    =  self._buckets[ind]
											if item is None:
																break
											if item is _deleted:
																continue
											if item.key == key:
																return item.val
						raise KeyError(__a							)




	def __len__(       self							):

						'''simple docstring'''





						return self._len




	def __iter__(       self							):

						'''simple docstring'''





						yield from (item.key for item in self._buckets if item)





	def __repr__(       self							):

						'''simple docstring'''





						__a      :	Any    =  ' ,'.join(
						    f"""{item.key}: {item.val}""" for item in self._buckets if item							)
						return f"""HashMap({val_string})"""







'''simple docstring'''



from __future__ import annotations

from dataclasses import dataclass





@dataclass
class 							__UpperCamelCase    :
	A_           =   42
	A_           =   None
	A_           =   None






def   lowerCamelCase							(_SCREAMING_SNAKE_CASE				:       TreeNode | None       ):

					# Validation
					def is_valid_tree(_SCREAMING_SNAKE_CASE				:       TreeNode | None       ) -> bool:
										if node is None:
															return True

										if not isinstance(_SCREAMING_SNAKE_CASE						,				_SCREAMING_SNAKE_CASE       ):
															return False

										try:
															float(node.data       )
										except (TypeError, ValueError):
															return False

										return is_valid_tree(node.left       ) and is_valid_tree(node.right       )

					if not is_valid_tree(_SCREAMING_SNAKE_CASE       ):
										raise ValueError(
										    'Each node should be type of TreeNode and data should be float.'       )

					def is_binary_search_tree_recursive_check(
					    _SCREAMING_SNAKE_CASE				:       TreeNode | None						,				_SCREAMING_SNAKE_CASE				:       float						,				_SCREAMING_SNAKE_CASE				:       float       ) -> bool:

										if node is None:
															return True

										return (
										    left_bound < node.data < right_bound
										    and is_binary_search_tree_recursive_check(node.left						,				_SCREAMING_SNAKE_CASE						,				node.data       )
										    and is_binary_search_tree_recursive_check(
										        node.right						,				node.data						,				_SCREAMING_SNAKE_CASE       )
										)

					return is_binary_search_tree_recursive_check(_SCREAMING_SNAKE_CASE						,				-float('inf'       )						,				float('inf'       )       )


if __name__ == "__main__":
	import doctest

	doctest.testmod()



