
from __future__ import annotations

from random import random
from typing import Generic, TypeVar

lowerCamelCase_						: Tuple         =  TypeVar("""KT""")
lowerCamelCase_						: Union[str, Any]         =  TypeVar("""VT""")

class        _UpperCamelCase				(					Generic[KT, VT]  ):






			'''simple docstring'''

			def __init__(       self :       int						,	snake_case_ :       Any = "root"						,	snake_case_ :       Any = None      ):
							UpperCamelCase_:							Optional[Any]	=						key
							UpperCamelCase_:							Optional[int]	=						value
							UpperCamelCase_:							Tuple	=						[]

			def __repr__(       self :       Optional[Any]      ):
							return f'''Node({self.key}: {self.value})'''




			@property
			def       lowerCAmelCase__	(       self :       Tuple      ):
							return len(self.forward      )




class        _UpperCamelCase				(					Generic[KT, VT]  ):






			'''simple docstring'''

			def __init__(       self :       List[str]						,	snake_case_ :       Any = 0.5						,	snake_case_ :       int = 16      ):
							UpperCamelCase_:							Optional[int]	=						Node[KT, VT]()
							UpperCamelCase_:							Union[str, Any]	=						0
							UpperCamelCase_:							List[str]	=						p
							UpperCamelCase_:							List[str]	=						max_level

			def __str__(       self :       Dict      ):
							UpperCamelCase_:							Optional[int]	=						list(self      )

							if len(snake_case_      ) == 0:
											return f'''SkipList(level={self.level})'''

							UpperCamelCase_:							Union[str, Any]	=						max((len(str(snake_case_      )      ) for item in items)						,	default=4      )
							UpperCamelCase_:							Dict	=						max(snake_case_						,	4      ) + 4

							UpperCamelCase_:							List[str]	=						self.head
							UpperCamelCase_:							int	=						[]

							UpperCamelCase_:							int	=						node.forward.copy()
							lines.append(f'''[{node.key}]'''.ljust(snake_case_						,	"""-"""      ) + """* """ * len(snake_case_      )      )
							lines.append(""" """ * label_size + """| """ * len(snake_case_      )      )

							while len(node.forward      ) != 0:
											UpperCamelCase_:							Optional[Any]	=						node.forward[0]

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

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

			def __iter__(       self :       Union[str, Any]      ):
							UpperCamelCase_:							Any	=						self.head

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

			def       lowerCAmelCase__	(       self :       int      ):
							UpperCamelCase_:							Union[str, Any]	=						1
							while random() < self.p and level < self.max_level:
											level += 1

							return level

			def       lowerCAmelCase__	(       self :       int						,	snake_case_ :       str      ):
							UpperCamelCase_:							str	=						[]

							UpperCamelCase_:							str	=						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:
															UpperCamelCase_:							Optional[Any]	=						node.forward[i]
											# Each leftmost node (relative to searched node) will potentially have to
											# be updated.
											update_vector.append(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       lowerCAmelCase__	(       self :       List[str]						,	snake_case_ :       Optional[int]      ):
							UpperCamelCase_,   UpperCamelCase_:							Tuple	=						self._locate_node(snake_case_      )

							if node is not None:
											for i, update_node in enumerate(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:
																							UpperCamelCase_:							str	=						node.forward[i]
																			else:
																							UpperCamelCase_:							Union[str, Any]	=						update_node.forward[:i]

			def       lowerCAmelCase__	(       self :       Union[str, Any]						,	snake_case_ :       Union[str, Any]						,	snake_case_ :       Tuple      ):
							UpperCamelCase_,   UpperCamelCase_:							int	=						self._locate_node(snake_case_      )
							if node is not None:
											UpperCamelCase_:							List[str]	=						value
							else:
											UpperCamelCase_:							List[Any]	=						self.random_level()

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

											UpperCamelCase_:							List[str]	=						Node(snake_case_						,	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(snake_case_      )
															else:
																			UpperCamelCase_:							Dict	=						new_node




			def       lowerCAmelCase__	(       self :       Tuple						,	snake_case_ :       Union[str, Any]      ):
							UpperCamelCase_,   UpperCamelCase_:							List[str]	=						self._locate_node(snake_case_      )

							if node is not None:
											return node.value

							return None







def        A__					(						)  ->	Any:
				UpperCamelCase_:							Dict	=						SkipList()
				skip_list.insert("""Key1"""     ,    3						)
				skip_list.insert("""Key2"""     ,    12						)
				skip_list.insert("""Key3"""     ,    41						)
				skip_list.insert("""Key4"""     ,    -19						)

				UpperCamelCase_:							List[Any]	=						skip_list.head
				UpperCamelCase_:							Optional[Any]	=						{}
				while node.level != 0:
								UpperCamelCase_:							Tuple	=						node.forward[0]
								UpperCamelCase_:							Union[str, Any]	=						node.value

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







def        A__					(						)  ->	str:
				UpperCamelCase_:							List[str]	=						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						)

				UpperCamelCase_:							Dict	=						skip_list.head
				UpperCamelCase_:							Union[str, Any]	=						{}
				while node.level != 0:
								UpperCamelCase_:							int	=						node.forward[0]
								UpperCamelCase_:							List[str]	=						node.value

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







def        A__					(						)  ->	Any:
				UpperCamelCase_:							List[Any]	=						SkipList()
				assert skip_list.find("""Some key"""						) is None







def        A__					(						)  ->	Dict:
				UpperCamelCase_:							str	=						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        A__					(						)  ->	Union[str, Any]:
				UpperCamelCase_:							Any	=						SkipList()
				skip_list.delete("""Some key"""						)

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







def        A__					(						)  ->	List[Any]:
				UpperCamelCase_:							str	=						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        A__					(						)  ->	Union[str, Any]:
				UpperCamelCase_:							Optional[int]	=						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        A__					(						)  ->	Dict:
				UpperCamelCase_:							str	=						SkipList()

				skip_list.insert("""Key1"""     ,    12						)
				skip_list.insert("""V"""     ,    13						)
				skip_list.insert("""X"""     ,    1_42						)
				skip_list.insert("""Key2"""     ,    15						)

				skip_list.delete("""X"""						)

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

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







def        A__					(						)  ->	List[Any]:




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

				UpperCamelCase_:							Optional[Any]	=						SkipList()
				for i in range(10						):
								skip_list.insert(lowerCamelCase     ,    lowerCamelCase						)
				assert is_sorted(list(lowerCamelCase						)						)
				skip_list.delete(5						)
				skip_list.delete(8						)
				skip_list.delete(2						)
				assert is_sorted(list(lowerCamelCase						)						)
				skip_list.insert(-12     ,    -12						)
				skip_list.insert(77     ,    77						)
				assert is_sorted(list(lowerCamelCase						)						)







def        A__					(						)  ->	Any:




				for _ in range(1_00						):
								# 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        A__					(						)  ->	Dict:
				UpperCamelCase_:							List[Any]	=						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(lowerCamelCase						)


if __name__ == "__main__":
				import doctest

				doctest.testmod()
				main()








from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_flax_available,
    is_tf_available,
    is_tokenizers_available,
    is_torch_available,
)


lowerCamelCase_						: str         =  {
    """configuration_roformer""": ["""ROFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP""", """RoFormerConfig""", """RoFormerOnnxConfig"""],
    """tokenization_roformer""": ["""RoFormerTokenizer"""],
}

try:
							if not is_tokenizers_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							lowerCamelCase_						: Union[str, Any]         =  ["""RoFormerTokenizerFast"""]

try:
							if not is_torch_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							lowerCamelCase_						: Any         =  [
							    """ROFORMER_PRETRAINED_MODEL_ARCHIVE_LIST""",
							    """RoFormerForCausalLM""",
							    """RoFormerForMaskedLM""",
							    """RoFormerForMultipleChoice""",
							    """RoFormerForQuestionAnswering""",
							    """RoFormerForSequenceClassification""",
							    """RoFormerForTokenClassification""",
							    """RoFormerLayer""",
							    """RoFormerModel""",
							    """RoFormerPreTrainedModel""",
							    """load_tf_weights_in_roformer""",
							]


try:
							if not is_tf_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							lowerCamelCase_						: Dict         =  [
							    """TF_ROFORMER_PRETRAINED_MODEL_ARCHIVE_LIST""",
							    """TFRoFormerForCausalLM""",
							    """TFRoFormerForMaskedLM""",
							    """TFRoFormerForMultipleChoice""",
							    """TFRoFormerForQuestionAnswering""",
							    """TFRoFormerForSequenceClassification""",
							    """TFRoFormerForTokenClassification""",
							    """TFRoFormerLayer""",
							    """TFRoFormerModel""",
							    """TFRoFormerPreTrainedModel""",
							]


try:
							if not is_flax_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							lowerCamelCase_						: Optional[Any]         =  [
							    """FLAX_ROFORMER_PRETRAINED_MODEL_ARCHIVE_LIST""",
							    """FlaxRoFormerForMaskedLM""",
							    """FlaxRoFormerForMultipleChoice""",
							    """FlaxRoFormerForQuestionAnswering""",
							    """FlaxRoFormerForSequenceClassification""",
							    """FlaxRoFormerForTokenClassification""",
							    """FlaxRoFormerModel""",
							    """FlaxRoFormerPreTrainedModel""",
							]


if TYPE_CHECKING:
							from .configuration_roformer import ROFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP, RoFormerConfig, RoFormerOnnxConfig
							from .tokenization_roformer import RoFormerTokenizer

							try:
														if not is_tokenizers_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .tokenization_roformer_fast import RoFormerTokenizerFast

							try:
														if not is_torch_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .modeling_roformer import (
														    ROFORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
														    RoFormerForCausalLM,
														    RoFormerForMaskedLM,
														    RoFormerForMultipleChoice,
														    RoFormerForQuestionAnswering,
														    RoFormerForSequenceClassification,
														    RoFormerForTokenClassification,
														    RoFormerLayer,
														    RoFormerModel,
														    RoFormerPreTrainedModel,
														    load_tf_weights_in_roformer,
														)

							try:
														if not is_tf_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .modeling_tf_roformer import (
														    TF_ROFORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
														    TFRoFormerForCausalLM,
														    TFRoFormerForMaskedLM,
														    TFRoFormerForMultipleChoice,
														    TFRoFormerForQuestionAnswering,
														    TFRoFormerForSequenceClassification,
														    TFRoFormerForTokenClassification,
														    TFRoFormerLayer,
														    TFRoFormerModel,
														    TFRoFormerPreTrainedModel,
														)

							try:
														if not is_flax_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .modeling_flax_roformer import (
														    FLAX_ROFORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
														    FlaxRoFormerForMaskedLM,
														    FlaxRoFormerForMultipleChoice,
														    FlaxRoFormerForQuestionAnswering,
														    FlaxRoFormerForSequenceClassification,
														    FlaxRoFormerForTokenClassification,
														    FlaxRoFormerModel,
														    FlaxRoFormerPreTrainedModel,
														)


else:
							import sys

							lowerCamelCase_						: Tuple         =  _LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)






