"""simple docstring"""
from __future__ import annotations

from random import random
from typing import Generic, TypeVar

SCREAMING_SNAKE_CASE__      						=  TypeVar("KT")
SCREAMING_SNAKE_CASE__      						=  TypeVar("VT")



class   lowerCAmelCase_    (			Generic[KT, VT]					):



				"""simple docstring"""

				def __init__(				self		,    lowerCAmelCase = "root"		,    lowerCAmelCase = None    ):






										"""simple docstring"""

										snake_case								=			key
										snake_case								=			value
										snake_case								=			[]

				def __repr__(				self    ):






										"""simple docstring"""

										return F"""Node({self.key}: {self.value})"""

				@property
				def 		snake_case (				self    ):






										"""simple docstring"""

										return len(self.forward    )





class   lowerCAmelCase_    (			Generic[KT, VT]					):



				"""simple docstring"""

				def __init__(				self		,    lowerCAmelCase = 0.5		,    lowerCAmelCase = 16    ):






										"""simple docstring"""

										snake_case								=			Node[KT, VT]()
										snake_case								=			0
										snake_case								=			p
										snake_case								=			max_level

				def __str__(				self    ):






										"""simple docstring"""

										snake_case								=			list(self    )

										if len(lowerCAmelCase    ) == 0:
																return F"""SkipList(level={self.level})"""

										snake_case								=			max((len(str(lowerCAmelCase    )    ) for item in items)		,    default=4    )
										snake_case								=			max(lowerCAmelCase		,    4    ) + 4

										snake_case								=			self.head
										snake_case								=			[]

										snake_case								=			node.forward.copy()
										lines.append(F"""[{node.key}]""".ljust(lowerCAmelCase		,    '-'    ) + '* ' * len(lowerCAmelCase    )    )
										lines.append(' ' * label_size + '| ' * len(lowerCAmelCase    )    )

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

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

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

				def __iter__(				self    ):






										"""simple docstring"""

										snake_case								=			self.head

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

				def 		snake_case (				self    ):






										"""simple docstring"""

										snake_case								=			1
										while random() < self.p and level < self.max_level:
																level += 1

										return level

				def 		snake_case (				self		,    lowerCAmelCase    ):






										"""simple docstring"""

										snake_case								=			[]

										snake_case								=			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:
																						snake_case								=			node.forward[i]
																# Each leftmost node (relative to searched node) will potentially have to
																# be updated.
																update_vector.append(lowerCAmelCase    )

										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		,    lowerCAmelCase    ):






										"""simple docstring"""

										snake_case					,snake_case								=			self._locate_node(lowerCAmelCase    )

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

				def 		snake_case (				self		,    lowerCAmelCase		,    lowerCAmelCase    ):






										"""simple docstring"""

										snake_case					,snake_case								=			self._locate_node(lowerCAmelCase    )
										if node is not None:
																snake_case								=			value
										else:
																snake_case								=			self.random_level()

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

																snake_case								=			Node(lowerCAmelCase		,    lowerCAmelCase    )

																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(lowerCAmelCase    )
																						else:
																												snake_case								=			new_node

				def 		snake_case (				self		,    lowerCAmelCase    ):






										"""simple docstring"""

										snake_case					,snake_case								=			self._locate_node(lowerCAmelCase    )

										if node is not None:
																return node.value

										return None





def    lowerCAmelCase__    (			)					->				Dict:





						"""simple docstring"""






						snake_case								=			SkipList()
						skip_list.insert('Key1' ,			3					)
						skip_list.insert('Key2' ,			1_2					)
						skip_list.insert('Key3' ,			4_1					)
						skip_list.insert('Key4' ,			-1_9					)

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

						assert len(_UpperCamelCase					) == 4
						assert all_values["Key1"] == 3
						assert all_values["Key2"] == 1_2
						assert all_values["Key3"] == 4_1
						assert all_values["Key4"] == -1_9





def    lowerCAmelCase__    (			)					->				Optional[Any]:





						"""simple docstring"""






						snake_case								=			SkipList()
						skip_list.insert('Key1' ,			1_0					)
						skip_list.insert('Key1' ,			1_2					)

						skip_list.insert('Key5' ,			7					)
						skip_list.insert('Key7' ,			1_0					)
						skip_list.insert('Key10' ,			5					)

						skip_list.insert('Key7' ,			7					)
						skip_list.insert('Key5' ,			5					)
						skip_list.insert('Key10' ,			1_0					)

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

						if len(_UpperCamelCase					) != 4:
												print()
						assert len(_UpperCamelCase					) == 4
						assert all_values["Key1"] == 1_2
						assert all_values["Key7"] == 7
						assert all_values["Key5"] == 5
						assert all_values["Key10"] == 1_0





def    lowerCAmelCase__    (			)					->				Tuple:





						"""simple docstring"""






						snake_case								=			SkipList()
						assert skip_list.find('Some key'					) is None





def    lowerCAmelCase__    (			)					->				Optional[int]:





						"""simple docstring"""






						snake_case								=			SkipList()

						skip_list.insert('Key2' ,			2_0					)
						assert skip_list.find('Key2'					) == 2_0

						skip_list.insert('Some Key' ,			1_0					)
						skip_list.insert('Key2' ,			8					)
						skip_list.insert('V' ,			1_3					)

						assert skip_list.find('Y'					) is None
						assert skip_list.find('Key2'					) == 8
						assert skip_list.find('Some Key'					) == 1_0
						assert skip_list.find('V'					) == 1_3





def    lowerCAmelCase__    (			)					->				Optional[Any]:





						"""simple docstring"""






						snake_case								=			SkipList()
						skip_list.delete('Some key'					)

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





def    lowerCAmelCase__    (			)					->				int:





						"""simple docstring"""






						snake_case								=			SkipList()

						skip_list.insert('Key1' ,			1_2					)
						skip_list.insert('V' ,			1_3					)
						skip_list.insert('X' ,			1_4					)
						skip_list.insert('Key2' ,			1_5					)

						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"""






						snake_case								=			SkipList()

						skip_list.insert('Key1' ,			1_2					)
						skip_list.insert('V' ,			1_3					)
						skip_list.insert('X' ,			1_4					)
						skip_list.insert('Key2' ,			1_5					)

						skip_list.delete('V'					)
						assert skip_list.find('V'					) is None
						assert skip_list.find('X'					) == 1_4
						assert skip_list.find('Key1'					) == 1_2
						assert skip_list.find('Key2'					) == 1_5

						skip_list.delete('X'					)
						assert skip_list.find('V'					) is None
						assert skip_list.find('X'					) is None
						assert skip_list.find('Key1'					) == 1_2
						assert skip_list.find('Key2'					) == 1_5

						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'					) == 1_5

						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__    (			)					->				Tuple:





						"""simple docstring"""






						snake_case								=			SkipList()

						skip_list.insert('Key1' ,			1_2					)
						skip_list.insert('V' ,			1_3					)
						skip_list.insert('X' ,			1_4_2					)
						skip_list.insert('Key2' ,			1_5					)

						skip_list.delete('X'					)

						def traverse_keys(_UpperCamelCase       :				Optional[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__    (			)					->				List[Any]:





						"""simple docstring"""






						def is_sorted(_UpperCamelCase       :				List[str]					):
												return all(next_item >= item for item, next_item in zip(_UpperCamelCase ,			lst[1:]					)					)

						snake_case								=			SkipList()
						for i in range(1_0					):
												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(-1_2 ,			-1_2					)
						skip_list.insert(7_7 ,			7_7					)
						assert is_sorted(list(_UpperCamelCase					)					)





def    lowerCAmelCase__    (			)					->				Dict:





						"""simple docstring"""






						for _ in range(1_0_0					):
												# 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__    (			)					->				Union[str, Any]:





						"""simple docstring"""






						snake_case								=			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"""
from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


SCREAMING_SNAKE_CASE__      						=  {"configuration_sew": ["SEW_PRETRAINED_CONFIG_ARCHIVE_MAP", "SEWConfig"]}

try:
					if not is_torch_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					SCREAMING_SNAKE_CASE__      						=  [
					    "SEW_PRETRAINED_MODEL_ARCHIVE_LIST",
					    "SEWForCTC",
					    "SEWForSequenceClassification",
					    "SEWModel",
					    "SEWPreTrainedModel",
					]

if TYPE_CHECKING:
					from .configuration_sew import SEW_PRETRAINED_CONFIG_ARCHIVE_MAP, SEWConfig

					try:
										if not is_torch_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .modeling_sew import (
										    SEW_PRETRAINED_MODEL_ARCHIVE_LIST,
										    SEWForCTC,
										    SEWForSequenceClassification,
										    SEWModel,
										    SEWPreTrainedModel,
										)


else:
					import sys

					SCREAMING_SNAKE_CASE__      						=  _LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)


