



"""simple docstring"""







from __future__ import annotations

from random import random
from typing import Generic, TypeVar

UpperCamelCase     =							TypeVar("""KT""")
UpperCamelCase     =							TypeVar("""VT""")






class       UpperCamelCase__			(   Generic[KT, VT]      ):

			"""simple docstring"""


			def __init__(      self						,	SCREAMING_SNAKE_CASE__ = "root"						,	SCREAMING_SNAKE_CASE__ = None		)      ->	List[str]:
				A__											=					key
				A__											=					value
				A__											=					[]


			def __repr__(      self		)      ->	str:
				return f"""Node({self.key}: {self.value})"""







			@property
			def   snake_case__	(      self		)      ->	int:
				return len(self.forward		)






class       UpperCamelCase__			(   Generic[KT, VT]      ):

			"""simple docstring"""


			def __init__(      self						,	SCREAMING_SNAKE_CASE__ = 0.5						,	SCREAMING_SNAKE_CASE__ = 16		)      ->	Any:
				A__											=					Node[KT, VT]()
				A__											=					0
				A__											=					p
				A__											=					max_level


			def __str__(      self		)      ->	str:
				A__											=					list(self		)

				if len(SCREAMING_SNAKE_CASE__		) == 0:
					return f"""SkipList(level={self.level})"""

				A__											=					max((len(str(SCREAMING_SNAKE_CASE__		)		) for item in items)						,	default=4		)
				A__											=					max(SCREAMING_SNAKE_CASE__						,	4		) + 4

				A__											=					self.head
				A__											=					[]

				A__											=					node.forward.copy()
				lines.append(f"""[{node.key}]""".ljust(SCREAMING_SNAKE_CASE__						,	"-"		) + "* " * len(SCREAMING_SNAKE_CASE__		)		)
				lines.append(" " * label_size + "| " * len(SCREAMING_SNAKE_CASE__		)		)

				while len(node.forward		) != 0:
					A__											=					node.forward[0]

					lines.append(
					    f"""[{node.key}]""".ljust(SCREAMING_SNAKE_CASE__						,	"-"		)
					    + " ".join(str(n.key		) if n.key == node.key else "|" for n in forwards		)		)
					lines.append(" " * label_size + "| " * len(SCREAMING_SNAKE_CASE__		)		)
					A__											=					node.forward

				lines.append("None".ljust(SCREAMING_SNAKE_CASE__		) + "* " * len(SCREAMING_SNAKE_CASE__		)		)
				return f"""SkipList(level={self.level})\n""" + "\n".join(SCREAMING_SNAKE_CASE__		)


			def __iter__(      self		)      ->	List[Any]:
				A__											=					self.head

				while len(node.forward		) != 0:
					yield node.forward[0].key
					A__											=					node.forward[0]


			def   snake_case__	(      self		)      ->	int:
				A__											=					1
				while random() < self.p and level < self.max_level:
					level += 1

				return level


			def   snake_case__	(      self						,	SCREAMING_SNAKE_CASE__		)      ->	tuple[Node[KT, VT] | None, list[Node[KT, VT]]]:
				A__											=					[]

				A__											=					self.head

				for i in reversed(range(self.level		)		):
					# i < node.level - When node level is lesser than `i` decrement `i`.
					# node.forward[i].key < key - Jumping to node with key value higher
					#                             or equal to searched key would result
					#                             in skipping searched key.
					while i < node.level and node.forward[i].key < key:
						A__											=					node.forward[i]
					# Each leftmost node (relative to searched node) will potentially have to
					# be updated.
					update_vector.append(SCREAMING_SNAKE_CASE__		)

				update_vector.reverse()  # Note that we were inserting values in reverse order.

				# len(node.forward) != 0 - If current node doesn't contain any further
				#                          references then searched key is not present.
				# node.forward[0].key == key - Next node key should be equal to search key
				#                              if key is present.
				if len(node.forward		) != 0 and node.forward[0].key == key:
					return node.forward[0], update_vector
				else:
					return None, update_vector


			def   snake_case__	(      self						,	SCREAMING_SNAKE_CASE__		)      ->	Optional[Any]:
				A__							,							A__											=					self._locate_node(SCREAMING_SNAKE_CASE__		)

				if node is not None:
					for i, update_node in enumerate(SCREAMING_SNAKE_CASE__		):
						# Remove or replace all references to removed node.
						if update_node.level > i and update_node.forward[i].key == key:
							if node.level > i:
								A__											=					node.forward[i]
							else:
								A__											=					update_node.forward[:i]


			def   snake_case__	(      self						,	SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__		)      ->	Any:
				A__							,							A__											=					self._locate_node(SCREAMING_SNAKE_CASE__		)
				if node is not None:
					A__											=					value
				else:
					A__											=					self.random_level()

					if level > self.level:
						# After level increase we have to add additional nodes to head.
						for _ in range(self.level - 1						,	SCREAMING_SNAKE_CASE__		):
							update_vector.append(self.head		)
						A__											=					level

					A__											=					Node(SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__		)

					for i, update_node in enumerate(update_vector[:level]		):
						# Change references to pass through new node.
						if update_node.level > i:
							new_node.forward.append(update_node.forward[i]		)

						if update_node.level < i + 1:
							update_node.forward.append(SCREAMING_SNAKE_CASE__		)
						else:
							A__											=					new_node







			def   snake_case__	(      self						,	SCREAMING_SNAKE_CASE__		)      ->	VT | None:
				A__							,							A__											=					self._locate_node(SCREAMING_SNAKE_CASE__		)

				if node is not None:
					return node.value

				return None



def       _lowerCamelCase				(							)	-> Any:






	"""simple docstring"""





	A__											=					SkipList()
	skip_list.insert("Key1",	3     )
	skip_list.insert("Key2",	12     )
	skip_list.insert("Key3",	41     )
	skip_list.insert("Key4",	-19     )

	A__											=					skip_list.head
	A__											=					{}
	while node.level != 0:
		A__											=					node.forward[0]
		A__											=					node.value

	assert len(UpperCAmelCase_     ) == 4
	assert all_values["Key1"] == 3
	assert all_values["Key2"] == 12
	assert all_values["Key3"] == 41
	assert all_values["Key4"] == -19

def       _lowerCamelCase				(							)	-> str:






	"""simple docstring"""





	A__											=					SkipList()
	skip_list.insert("Key1",	10     )
	skip_list.insert("Key1",	12     )

	skip_list.insert("Key5",	7     )
	skip_list.insert("Key7",	10     )
	skip_list.insert("Key10",	5     )

	skip_list.insert("Key7",	7     )
	skip_list.insert("Key5",	5     )
	skip_list.insert("Key10",	10     )

	A__											=					skip_list.head
	A__											=					{}
	while node.level != 0:
		A__											=					node.forward[0]
		A__											=					node.value

	if len(UpperCAmelCase_     ) != 4:
		print()
	assert len(UpperCAmelCase_     ) == 4
	assert all_values["Key1"] == 12
	assert all_values["Key7"] == 7
	assert all_values["Key5"] == 5
	assert all_values["Key10"] == 10

def       _lowerCamelCase				(							)	-> Optional[int]:






	"""simple docstring"""





	A__											=					SkipList()
	assert skip_list.find("Some key"     ) is None

def       _lowerCamelCase				(							)	-> List[str]:






	"""simple docstring"""





	A__											=					SkipList()

	skip_list.insert("Key2",	20     )
	assert skip_list.find("Key2"     ) == 20

	skip_list.insert("Some Key",	10     )
	skip_list.insert("Key2",	8     )
	skip_list.insert("V",	13     )

	assert skip_list.find("Y"     ) is None
	assert skip_list.find("Key2"     ) == 8
	assert skip_list.find("Some Key"     ) == 10
	assert skip_list.find("V"     ) == 13

def       _lowerCamelCase				(							)	-> int:






	"""simple docstring"""





	A__											=					SkipList()
	skip_list.delete("Some key"     )

	assert len(skip_list.head.forward     ) == 0

def       _lowerCamelCase				(							)	-> List[Any]:






	"""simple docstring"""





	A__											=					SkipList()

	skip_list.insert("Key1",	12     )
	skip_list.insert("V",	13     )
	skip_list.insert("X",	14     )
	skip_list.insert("Key2",	15     )

	skip_list.delete("V"     )
	skip_list.delete("Key2"     )

	assert skip_list.find("V"     ) is None
	assert skip_list.find("Key2"     ) is None

def       _lowerCamelCase				(							)	-> Any:






	"""simple docstring"""





	A__											=					SkipList()

	skip_list.insert("Key1",	12     )
	skip_list.insert("V",	13     )
	skip_list.insert("X",	14     )
	skip_list.insert("Key2",	15     )

	skip_list.delete("V"     )
	assert skip_list.find("V"     ) is None
	assert skip_list.find("X"     ) == 14
	assert skip_list.find("Key1"     ) == 12
	assert skip_list.find("Key2"     ) == 15

	skip_list.delete("X"     )
	assert skip_list.find("V"     ) is None
	assert skip_list.find("X"     ) is None
	assert skip_list.find("Key1"     ) == 12
	assert skip_list.find("Key2"     ) == 15

	skip_list.delete("Key1"     )
	assert skip_list.find("V"     ) is None
	assert skip_list.find("X"     ) is None
	assert skip_list.find("Key1"     ) is None
	assert skip_list.find("Key2"     ) == 15

	skip_list.delete("Key2"     )
	assert skip_list.find("V"     ) is None
	assert skip_list.find("X"     ) is None
	assert skip_list.find("Key1"     ) is None
	assert skip_list.find("Key2"     ) is None

def       _lowerCamelCase				(							)	-> Optional[int]:






	"""simple docstring"""





	A__											=					SkipList()

	skip_list.insert("Key1",	12     )
	skip_list.insert("V",	13     )
	skip_list.insert("X",	142     )
	skip_list.insert("Key2",	15     )

	skip_list.delete("X"     )

	def traverse_keys(UpperCAmelCase_ :       Any     ):
		yield node.key
		for forward_node in node.forward:
			yield from traverse_keys(UpperCAmelCase_     )

	assert len(set(traverse_keys(skip_list.head     )     )     ) == 4

def       _lowerCamelCase				(							)	-> Optional[int]:






	"""simple docstring"""





	def is_sorted(UpperCAmelCase_ :       Dict     ):
		return all(next_item >= item for item, next_item in zip(UpperCAmelCase_,	lst[1:]     )     )

	A__											=					SkipList()
	for i in range(10     ):
		skip_list.insert(UpperCAmelCase_,	UpperCAmelCase_     )
	assert is_sorted(list(UpperCAmelCase_     )     )
	skip_list.delete(5     )
	skip_list.delete(8     )
	skip_list.delete(2     )
	assert is_sorted(list(UpperCAmelCase_     )     )
	skip_list.insert(-12,	-12     )
	skip_list.insert(77,	77     )
	assert is_sorted(list(UpperCAmelCase_     )     )

def       _lowerCamelCase				(							)	-> Optional[int]:






	"""simple docstring"""





	for _ in range(100     ):
		# Repeat test 100 times due to the probabilistic nature of skip list
		# random values == random bugs
		test_insert()
		test_insert_overrides_existing_value()

		test_searching_empty_list_returns_none()
		test_search()

		test_deleting_item_from_empty_list_do_nothing()
		test_deleted_items_are_not_founded_by_find_method()
		test_delete_removes_only_given_key()
		test_delete_doesnt_leave_dead_nodes()

		test_iter_always_yields_sorted_values()

def       _lowerCamelCase				(							)	-> Tuple:






	"""simple docstring"""





	A__											=					SkipList()
	skip_list.insert(2,	"2"     )
	skip_list.insert(4,	"4"     )
	skip_list.insert(6,	"4"     )
	skip_list.insert(4,	"5"     )
	skip_list.insert(8,	"4"     )
	skip_list.insert(9,	"4"     )

	skip_list.delete(4     )

	print(UpperCAmelCase_     )


if __name__ == "__main__":
			import doctest

			doctest.testmod()
			main()






'''simple docstring'''



import warnings

from ...utils import logging
from .image_processing_donut import DonutImageProcessor


_lowercase          =						logging.get_logger(__name__)




class     UpperCAmelCase_	(						_SCREAMING_SNAKE_CASE					):






						'''simple docstring'''






						def __init__(   self       ,  *_lowercase       ,  **_lowercase ):

												"""simple docstring"""



												warnings.warn(
												    """The class DonutFeatureExtractor is deprecated and will be removed in version 5 of Transformers. Please"""
												    """ use DonutImageProcessor instead."""       ,  _lowercase       ,  )
												super().__init__(*_lowercase       ,  **_lowercase )
