






from __future__ import annotations

from random import random
from typing import Generic, TypeVar

__lowerCamelCase :      List[str]										=				TypeVar("""KT""")
__lowerCamelCase :      Dict										=				TypeVar("""VT""")



class 							SCREAMING_SNAKE_CASE__						(    Generic[KT, VT]						):





					"""simple docstring"""






					def __init__( self					:  List[str]							,		__A					:  KT | str = "root"							,		__A					:  VT | None = None	):
						snake_case__			:				List[Any]       =  key
						snake_case__			:				Dict       =  value
						snake_case__			:				list[Node[KT, VT]]       =  []



					def __repr__( self					:  Tuple	):
						return f'''Node({self.key}: {self.value})'''






					@property
					def 	_lowercase					( self					:  Any	):
						return len(self.forward	)



class 							SCREAMING_SNAKE_CASE__						(    Generic[KT, VT]						):





					"""simple docstring"""






					def __init__( self					:  Dict							,		__A					:  float = 0.5							,		__A					:  int = 1_6	):
						snake_case__			:				Node[KT, VT]       =  Node[KT, VT]()
						snake_case__			:				Tuple       =  0
						snake_case__			:				Tuple       =  p
						snake_case__			:				List[Any]       =  max_level



					def __str__( self					:  Optional[Any]	):
						snake_case__			:				str       =  list(self	)

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

						snake_case__			:				Tuple       =  max((len(str(__A	)	) for item in items)							,		default=4	)
						snake_case__			:				Optional[int]       =  max(__A							,		4	) + 4

						snake_case__			:				Optional[Any]       =  self.head
						snake_case__			:				List[Any]       =  []

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

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

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

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



					def __iter__( self					:  Any	):
						snake_case__			:				int       =  self.head

						while len(node.forward	) != 0:
							yield node.forward[0].key
							snake_case__			:				Optional[int]       =  node.forward[0]



					def 	_lowercase					( self					:  int	):
						snake_case__			:				Optional[int]       =  1
						while random() < self.p and level < self.max_level:
							level += 1

						return level



					def 	_lowercase					( self					:  Optional[Any]							,		__A					:  Dict	):
						snake_case__			:				str       =  []

						snake_case__			:				List[Any]       =  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__			:				Tuple       =  node.forward[i]
							# Each leftmost node (relative to searched node) will potentially have to
							# be updated.
							update_vector.append(__A	)

						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 	_lowercase					( self					:  Optional[Any]							,		__A					:  KT	):
						snake_case__,						snake_case__			:				str       =  self._locate_node(__A	)

						if node is not None:
							for i, update_node in enumerate(__A	):
								# 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__			:				Optional[int]       =  node.forward[i]
									else:
										snake_case__			:				List[Any]       =  update_node.forward[:i]



					def 	_lowercase					( self					:  Union[str, Any]							,		__A					:  KT							,		__A					:  VT	):
						snake_case__,						snake_case__			:				int       =  self._locate_node(__A	)
						if node is not None:
							snake_case__			:				Dict       =  value
						else:
							snake_case__			:				Optional[int]       =  self.random_level()

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

							snake_case__			:				List[Any]       =  Node(__A							,		__A	)

							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(__A	)
								else:
									snake_case__			:				Dict       =  new_node






					def 	_lowercase					( self					:  Any							,		__A					:  VT	):
						snake_case__,						snake_case__			:				int       =  self._locate_node(__A	)

						if node is not None:
							return node.value

						return None







def 					SCREAMING_SNAKE_CASE    (			):
	snake_case__			:				Dict       =  SkipList()
	skip_list.insert("Key1"					,  3       )
	skip_list.insert("Key2"					,  12       )
	skip_list.insert("Key3"					,  41       )
	skip_list.insert("Key4"					,  -19       )

	snake_case__			:				Tuple       =  skip_list.head
	snake_case__			:				Any       =  {}
	while node.level != 0:
		snake_case__			:				Tuple       =  node.forward[0]
		snake_case__			:				Optional[Any]       =  node.value

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







def 					SCREAMING_SNAKE_CASE    (			):
	snake_case__			:				Union[str, Any]       =  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       )

	snake_case__			:				Dict       =  skip_list.head
	snake_case__			:				str       =  {}
	while node.level != 0:
		snake_case__			:				Optional[Any]       =  node.forward[0]
		snake_case__			:				Optional[Any]       =  node.value

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







def 					SCREAMING_SNAKE_CASE    (			):
	snake_case__			:				List[Any]       =  SkipList()
	assert skip_list.find("Some key"       ) is None







def 					SCREAMING_SNAKE_CASE    (			):
	snake_case__			:				Tuple       =  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 					SCREAMING_SNAKE_CASE    (			):
	snake_case__			:				List[str]       =  SkipList()
	skip_list.delete("Some key"       )

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







def 					SCREAMING_SNAKE_CASE    (			):
	snake_case__			:				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 					SCREAMING_SNAKE_CASE    (			):
	snake_case__			:				List[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"       )
	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 					SCREAMING_SNAKE_CASE    (			):
	snake_case__			:				List[Any]       =  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(snake_case_ :							str       ):
		yield node.key
		for forward_node in node.forward:
			yield from traverse_keys(snake_case_       )

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







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

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







def 					SCREAMING_SNAKE_CASE    (			):
	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 					SCREAMING_SNAKE_CASE    (			):
	snake_case__			:				Union[str, 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(snake_case_       )


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()











from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


__lowerCamelCase :      Union[str, Any]										=				{
    """configuration_time_series_transformer""": [
        """TIME_SERIES_TRANSFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP""",
        """TimeSeriesTransformerConfig""",
    ],
}

try:
	if not is_torch_available():
		raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
	pass
else:
	__lowerCamelCase :      Tuple										=				[
	    """TIME_SERIES_TRANSFORMER_PRETRAINED_MODEL_ARCHIVE_LIST""",
	    """TimeSeriesTransformerForPrediction""",
	    """TimeSeriesTransformerModel""",
	    """TimeSeriesTransformerPreTrainedModel""",
	]


if TYPE_CHECKING:
	from .configuration_time_series_transformer import (
	    TIME_SERIES_TRANSFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP,
	    TimeSeriesTransformerConfig,
	)

	try:
		if not is_torch_available():
			raise OptionalDependencyNotAvailable()
	except OptionalDependencyNotAvailable:
		pass
	else:
		from .modeling_time_series_transformer import (
		    TIME_SERIES_TRANSFORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
		    TimeSeriesTransformerForPrediction,
		    TimeSeriesTransformerModel,
		    TimeSeriesTransformerPreTrainedModel,
		)

else:
	import sys

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



