
"""simple docstring"""






from __future__ import annotations

from random import random
from typing import Generic, TypeVar

__UpperCAmelCase       =  TypeVar('KT')
__UpperCAmelCase       =  TypeVar('VT')




class 			_SCREAMING_SNAKE_CASE					(			Generic[KT, VT]							):






			def __init__(					self       ,   __A = "root"       ,   __A = None       )			->     Dict:
						lowerCAmelCase_    :List[str]			     =  key
						lowerCAmelCase_    :Dict			     =  value
						lowerCAmelCase_    :list[Node[KT, VT]]			     =  []






			def __repr__(					self       )			->     str:
						return f"""Node({self.key}: {self.value})"""






			@property
			def  __lowerCAmelCase (					self       )			->     int:
						return len(self.forward       )




class 			_SCREAMING_SNAKE_CASE					(			Generic[KT, VT]							):






			def __init__(					self       ,   __A = 0.5       ,   __A = 16       )			->     Optional[Any]:
						lowerCAmelCase_    :Node[KT, VT]			     =  Node[KT, VT]()
						lowerCAmelCase_    :Union[str, Any]			     =  0
						lowerCAmelCase_    :str			     =  p
						lowerCAmelCase_    :List[str]			     =  max_level






			def __str__(					self       )			->     str:
						lowerCAmelCase_    :str			     =  list(self       )

						if len(lowerCAmelCase__       ) == 0:
									return f"""SkipList(level={self.level})"""

						lowerCAmelCase_    :List[str]			     =  max((len(str(lowerCAmelCase__       )       ) for item in items)       ,   default=4       )
						lowerCAmelCase_    :Any			     =  max(lowerCAmelCase__       ,   4       ) + 4

						lowerCAmelCase_    :Tuple			     =  self.head
						lowerCAmelCase_    :int			     =  []

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

						while len(node.forward       ) != 0:
									lowerCAmelCase_    :Optional[int]			     =  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__       )       )
									lowerCAmelCase_    :Any			     =  node.forward

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






			def __iter__(					self       )			->     List[str]:
						lowerCAmelCase_    :str			     =  self.head

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






			def  __lowerCAmelCase (					self       )			->     int:
						lowerCAmelCase_    :str			     =  1
						while random() < self.p and level < self.max_level:
									level += 1

						return level






			def  __lowerCAmelCase (					self       ,   __A       )			->     tuple[Node[KT, VT] | None, list[Node[KT, VT]]]:
						lowerCAmelCase_    :Optional[int]			     =  []

						lowerCAmelCase_    :List[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:
												lowerCAmelCase_    :Union[str, Any]			     =  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  __lowerCAmelCase (					self       ,   __A       )			->     int:
						lowerCAmelCase_    :str			     =  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:
																		lowerCAmelCase_    :Any			     =  node.forward[i]
															else:
																		lowerCAmelCase_    :List[str]			     =  update_node.forward[:i]






			def  __lowerCAmelCase (					self       ,   __A       ,   __A       )			->     Tuple:
						lowerCAmelCase_    :Optional[Any]			     =  self._locate_node(lowerCAmelCase__       )
						if node is not None:
									lowerCAmelCase_    :int			     =  value
						else:
									lowerCAmelCase_    :Dict			     =  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       )
												lowerCAmelCase_    :List[Any]			     =  level

									lowerCAmelCase_    :Tuple			     =  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:
															lowerCAmelCase_    :Optional[int]			     =  new_node






			def  __lowerCAmelCase (					self       ,   __A       )			->     VT | None:
						lowerCAmelCase_    :Any			     =  self._locate_node(lowerCAmelCase__       )

						if node is not None:
									return node.value

						return None






def 						_snake_case       (	)  ->				Optional[int]:


			'''simple docstring'''





			lowerCAmelCase_    :Union[str, Any]			     =  SkipList()
			skip_list.insert("""Key1"""      ,     3		)
			skip_list.insert("""Key2"""      ,     1_2		)
			skip_list.insert("""Key3"""      ,     4_1		)
			skip_list.insert("""Key4"""      ,     -1_9		)

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

			assert len(_lowercase		) == 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 						_snake_case       (	)  ->				Optional[int]:


			'''simple docstring'''





			lowerCAmelCase_    :Dict			     =  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		)

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

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






def 						_snake_case       (	)  ->				Dict:


			'''simple docstring'''





			lowerCAmelCase_    :Optional[Any]			     =  SkipList()
			assert skip_list.find("""Some key"""		) is None






def 						_snake_case       (	)  ->				Union[str, Any]:


			'''simple docstring'''





			lowerCAmelCase_    :List[str]			     =  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 						_snake_case       (	)  ->				List[Any]:


			'''simple docstring'''





			lowerCAmelCase_    :Optional[int]			     =  SkipList()
			skip_list.delete("""Some key"""		)

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






def 						_snake_case       (	)  ->				List[Any]:


			'''simple docstring'''





			lowerCAmelCase_    :int			     =  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 						_snake_case       (	)  ->				int:


			'''simple docstring'''





			lowerCAmelCase_    :List[Any]			     =  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 						_snake_case       (	)  ->				Optional[int]:


			'''simple docstring'''





			lowerCAmelCase_    :List[Any]			     =  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(lowercase__		:  List[str]		):
						yield node.key
						for forward_node in node.forward:
									yield from traverse_keys(_lowercase		)

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






def 						_snake_case       (	)  ->				Dict:


			'''simple docstring'''





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

			lowerCAmelCase_    :Tuple			     =  SkipList()
			for i in range(1_0		):
						skip_list.insert(_lowercase      ,     _lowercase		)
			assert is_sorted(list(_lowercase		)		)
			skip_list.delete(5		)
			skip_list.delete(8		)
			skip_list.delete(2		)
			assert is_sorted(list(_lowercase		)		)
			skip_list.insert(-1_2      ,     -1_2		)
			skip_list.insert(7_7      ,     7_7		)
			assert is_sorted(list(_lowercase		)		)






def 						_snake_case       (	)  ->				Tuple:


			'''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 						_snake_case       (	)  ->				str:


			'''simple docstring'''





			lowerCAmelCase_    :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(_lowercase		)


if __name__ == "__main__":
				import doctest

				doctest.testmod()
				main()













"""simple docstring"""




import unittest
from dataclasses import dataclass

import pytest

from accelerate.commands.config.config_args import SageMakerConfig
from accelerate.utils import ComputeEnvironment
from accelerate.utils.launch import _convert_nargs_to_dict


@dataclass
class        __UpperCamelCase				(						a__						):
							lowerCamelCase   :					List[str]      					=ComputeEnvironment.AMAZON_SAGEMAKER
							lowerCamelCase   :					str      					=True
							lowerCamelCase   :					Union[str, Any]      					="""ml.p3.2xlarge"""
							lowerCamelCase   :					str      					="""accelerate_sagemaker_execution_role"""
							lowerCamelCase   :					int      					="""hf-sm"""
							lowerCamelCase   :					int      					="""us-east-1"""
							lowerCamelCase   :					Tuple      					=1
							lowerCamelCase   :					Any      					="""accelerate-sagemaker-1"""
							lowerCamelCase   :					str      					="""1.6"""
							lowerCamelCase   :					Tuple      					="""4.4"""
							lowerCamelCase   :					Optional[int]      					="""train.py"""
							lowerCamelCase   :					Optional[Any]      					=[
							    """--model_name_or_path""",
							    """bert""",
							    """--do_train""",
							    """False""",
							    """--epochs""",
							    """3""",
							    """--learning_rate""",
							    """5e-5""",
							    """--max_steps""",
							    """50.5""",
							]
							lowerCamelCase   :					Union[str, Any]      					=[
							    """--model_name_or_path""",
							    """bert""",
							    """--do_train""",
							    """--do_test""",
							    """False""",
							    """--do_predict""",
							    """--epochs""",
							    """3""",
							    """--learning_rate""",
							    """5e-5""",
							    """--max_steps""",
							    """50.5""",
							]


class        __UpperCamelCase				(						unittest.TestCase						):






							def     __a   (   self      )	-> List[str]:
								# If no defaults are changed, `to_kwargs` returns an empty dict.
								a      :		str	=				_convert_nargs_to_dict(MockLaunchConfig.success_training_script_args      )
								assert isinstance(converted_args["model_name_or_path"]      ,					lowerCAmelCase__      )
								assert isinstance(converted_args["do_train"]      ,					lowerCAmelCase__      )
								assert isinstance(converted_args["epochs"]      ,					lowerCAmelCase__      )
								assert isinstance(converted_args["learning_rate"]      ,					lowerCAmelCase__      )
								assert isinstance(converted_args["max_steps"]      ,					lowerCAmelCase__      )

								with pytest.raises(lowerCAmelCase__      ):
									_convert_nargs_to_dict(MockLaunchConfig.fail_training_script_args      )


