






'''simple docstring'''





from __future__ import annotations

from random import random
from typing import Generic, TypeVar

a__       =     TypeVar("""KT""")
a__       =     TypeVar("""VT""")


class    _lowerCAmelCase			(		Generic[KT, VT]      ):



				"""simple docstring"""



				def __init__(      self    :    Tuple			,		UpperCamelCase__    :    KT | str = "root"			,		UpperCamelCase__    :    VT | None = None):






											'''simple docstring'''







											snake_case__	  =       key
											snake_case__	  =       value
											snake_case__	  =       []



				def __repr__(      self    :    int):






											'''simple docstring'''







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



				@property
				def 					__magic_name__							(      self    :    str):






											'''simple docstring'''







											return len(self.forward)


class    _lowerCAmelCase			(		Generic[KT, VT]      ):



				"""simple docstring"""



				def __init__(      self    :    Tuple			,		UpperCamelCase__    :    float = 0.5			,		UpperCamelCase__    :    int = 1_6):






											'''simple docstring'''







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



				def __str__(      self    :    int):






											'''simple docstring'''







											snake_case__	  =       list(self)

											if len(UpperCamelCase__) == 0:
																		return F'''SkipList(level={self.level})'''

											snake_case__	  =       max((len(str(UpperCamelCase__)) for item in items)			,		default=4)
											snake_case__	  =       max(UpperCamelCase__			,		4) + 4

											snake_case__	  =       self.head
											snake_case__	  =       []

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

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

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

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



				def __iter__(      self    :    Any):






											'''simple docstring'''







											snake_case__	  =       self.head

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



				def 					__magic_name__							(      self    :    Tuple):






											'''simple docstring'''







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

											return level



				def 					__magic_name__							(      self    :    Optional[Any]			,		UpperCamelCase__    :    Any):






											'''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(UpperCamelCase__)

											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 					__magic_name__							(      self    :    List[Any]			,		UpperCamelCase__    :    KT):






											'''simple docstring'''







											snake_case__  , snake_case__	  =       self._locate_node(UpperCamelCase__)

											if node is not None:
																		for i, update_node in enumerate(UpperCamelCase__):
																									# 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 					__magic_name__							(      self    :    Union[str, Any]			,		UpperCamelCase__    :    KT			,		UpperCamelCase__    :    VT):






											'''simple docstring'''







											snake_case__  , snake_case__	  =       self._locate_node(UpperCamelCase__)
											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			,		UpperCamelCase__):
																																update_vector.append(self.head)
																									snake_case__	  =       level

																		snake_case__	  =       Node(UpperCamelCase__			,		UpperCamelCase__)

																		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(UpperCamelCase__)
																									else:
																																snake_case__	  =       new_node



				def 					__magic_name__							(      self    :    Optional[Any]			,		UpperCamelCase__    :    VT):






											'''simple docstring'''







											snake_case__  , snake_case__	  =       self._locate_node(UpperCamelCase__)

											if node is not None:
																		return node.value

											return None


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

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

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

def _UpperCAmelCase   (	):
							snake_case__	  =       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__	  =       skip_list.head
							snake_case__	  =       {}
							while node.level != 0:
														snake_case__	  =       node.forward[0]
														snake_case__	  =       node.value

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

def _UpperCAmelCase   (	):
							snake_case__	  =       SkipList()
							assert skip_list.find("""Some key""" ) is None

def _UpperCAmelCase   (	):
							snake_case__	  =       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 _UpperCAmelCase   (	):
							snake_case__	  =       SkipList()
							skip_list.delete("""Some key""" )

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

def _UpperCAmelCase   (	):
							snake_case__	  =       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 _UpperCAmelCase   (	):
							snake_case__	  =       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 _UpperCAmelCase   (	):
							snake_case__	  =       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(a						:	Union[str, Any] ):
														yield node.key
														for forward_node in node.forward:
																					yield from traverse_keys(a )

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

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

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

def _UpperCAmelCase   (	):
							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 _UpperCAmelCase   (	):
							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(a )


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()








import os
import time

import pytest

from datasets.utils.filelock import FileLock, Timeout

def _UpperCAmelCase   (	a						:	List[Any] ):
							snake_case__	  =       FileLock(str(tmpdir / """foo.lock""" ) )
							snake_case__	  =       FileLock(str(tmpdir / """foo.lock""" ) )
							snake_case__	  =       0.01
							with locka.acquire():
														with pytest.raises(a ):
																					snake_case__	  =       time.time()
																					locka.acquire(a )
																					assert time.time() - _start > timeout



def _UpperCAmelCase   (	a						:	str ):
							snake_case__	  =       """a""" * 1000 + """.lock"""
							snake_case__	  =       FileLock(str(tmpdir / filename ) )
							assert locka._lock_file.endswith(""".lock""" )
							assert not locka._lock_file.endswith(a )
							assert len(os.path.basename(locka._lock_file ) ) <= 255
							snake_case__	  =       FileLock(tmpdir / filename )
							with locka.acquire():
														with pytest.raises(a ):
																					locka.acquire(0 )
