



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

from random import random
from typing import Generic, TypeVar

__SCREAMING_SNAKE_CASE  :						List[str]    							=      TypeVar('''KT''')
__SCREAMING_SNAKE_CASE  :						List[str]    							=      TypeVar('''VT''')


class 							lowerCamelCase_(   Generic[KT, VT]    ):





					'''simple docstring'''



					def __init__(    self				,       lowerCamelCase__ = "root"				,       lowerCamelCase__ = None   ):
									_lowerCamelCase        =				key
									_lowerCamelCase        =				value
									_lowerCamelCase        =				[]

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





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


class 							lowerCamelCase_(   Generic[KT, VT]    ):





					'''simple docstring'''



					def __init__(    self				,       lowerCamelCase__ = 0.5				,       lowerCamelCase__ = 1_6   ):
									_lowerCamelCase        =				Node[KT, VT]()
									_lowerCamelCase        =				0
									_lowerCamelCase        =				p
									_lowerCamelCase        =				max_level

					def __str__(    self   ):
									_lowerCamelCase        =				list(self   )

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

									_lowerCamelCase        =				max((len(str(__snake_case   )   ) for item in items)				,       default=4   )
									_lowerCamelCase        =				max(__snake_case				,       4   ) + 4

									_lowerCamelCase        =				self.head
									_lowerCamelCase        =				[]

									_lowerCamelCase        =				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:
													_lowerCamelCase        =				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   )   )
													_lowerCamelCase        =				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   ):
									_lowerCamelCase        =				self.head

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

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

									return level

					def 			snake_case__      (    self				,       lowerCamelCase__   ):
									_lowerCamelCase        =				[]

									_lowerCamelCase        =				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:
																	_lowerCamelCase        =				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 			snake_case__      (    self				,       lowerCamelCase__   ):
									_lowerCamelCase        =				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:
																									_lowerCamelCase        =				node.forward[i]
																					else:
																									_lowerCamelCase        =				update_node.forward[:i]

					def 			snake_case__      (    self				,       lowerCamelCase__				,       lowerCamelCase__   ):
									_lowerCamelCase        =				self._locate_node(__snake_case   )
									if node is not None:
													_lowerCamelCase        =				value
									else:
													_lowerCamelCase        =				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   )
																	_lowerCamelCase        =				level

													_lowerCamelCase        =				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:
																					_lowerCamelCase        =				new_node





					def 			snake_case__      (    self				,       lowerCamelCase__   ):
									_lowerCamelCase        =				self._locate_node(__snake_case   )

									if node is not None:
													return node.value

									return None



def        lowerCAmelCase_(   )	->       str:
				_lowerCamelCase        =				SkipList()
				skip_list.insert('''Key1'''						,   3							)
				skip_list.insert('''Key2'''						,   12							)
				skip_list.insert('''Key3'''						,   41							)
				skip_list.insert('''Key4'''						,   -19							)

				_lowerCamelCase        =				skip_list.head
				_lowerCamelCase        =				{}
				while node.level != 0:
								_lowerCamelCase        =				node.forward[0]
								_lowerCamelCase        =				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        lowerCAmelCase_(   )	->       Union[str, Any]:
				_lowerCamelCase        =				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							)

				_lowerCamelCase        =				skip_list.head
				_lowerCamelCase        =				{}
				while node.level != 0:
								_lowerCamelCase        =				node.forward[0]
								_lowerCamelCase        =				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        lowerCAmelCase_(   )	->       str:
				_lowerCamelCase        =				SkipList()
				assert skip_list.find('''Some key'''							) is None



def        lowerCAmelCase_(   )	->       List[str]:
				_lowerCamelCase        =				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_(   )	->       Dict:
				_lowerCamelCase        =				SkipList()
				skip_list.delete('''Some key'''							)

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



def        lowerCAmelCase_(   )	->       int:
				_lowerCamelCase        =				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_(   )	->       Dict:
				_lowerCamelCase        =				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_(   )	->       Union[str, Any]:
				_lowerCamelCase        =				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(lowercase_     :							Dict							):
								yield node.key
								for forward_node in node.forward:
												yield from traverse_keys(a_							)

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



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

				_lowerCamelCase        =				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        lowerCAmelCase_(   )	->       List[str]:
				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        lowerCAmelCase_(   )	->       int:
				_lowerCamelCase        =				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()





"""simple docstring"""
import warnings

from ..trainer import Trainer
from ..utils import logging


__SCREAMING_SNAKE_CASE  :						Dict    							=      logging.get_logger(__name__)


class 							lowerCamelCase_(   A__    ):





					'''simple docstring'''



					def __init__(    self				,       lowerCamelCase__=None				,       **lowerCamelCase__   ):
									warnings.warn(
									    '''`SageMakerTrainer` is deprecated and will be removed in v5 of Transformers. You can use `Trainer` '''
									    '''instead.'''				,       lowerCamelCase__				,       )
									super().__init__(args=lowerCamelCase__				,       **lowerCamelCase__   )
