


from __future__ import annotations

from random import random
from typing import Generic, TypeVar

_snake_case					:		Tuple      =    TypeVar("KT")
_snake_case					:		str      =    TypeVar("VT")

class     a		(Generic[KT, VT]				):




							"""simple docstring"""


							def __init__(							self	:  Optional[Any]   ,     lowerCamelCase	:  KT | str = "root"   ,     lowerCamelCase	:  VT | None = None    )     ->   Any:
														__snake_case		:      Union[str, Any]										=       key
														__snake_case		:      Tuple										=       value
														__snake_case		:      list[Node[KT, VT]]										=       []

							def __repr__(							self	:  List[str]    )     ->   str:
														return F'Node({self.key}: {self.value})'






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

class     a		(Generic[KT, VT]				):




							"""simple docstring"""


							def __init__(							self	:  Tuple   ,     lowerCamelCase	:  float = 0.5   ,     lowerCamelCase	:  int = 16    )     ->   Dict:
														__snake_case		:      Node[KT, VT]										=       Node[KT, VT]()
														__snake_case		:      Optional[int]										=       0
														__snake_case		:      Optional[Any]										=       p
														__snake_case		:      Tuple										=       max_level

							def __str__(							self	:  Optional[Any]    )     ->   str:
														__snake_case		:      Union[str, Any]										=       list(self    )

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

														__snake_case		:      List[str]										=       max((len(str(lowerCamelCase    )    ) for item in items)   ,     default=4    )
														__snake_case		:      List[str]										=       max(lowerCamelCase   ,     4    ) + 4

														__snake_case		:      Dict										=       self.head
														__snake_case		:      int										=       []

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

														while len(node.forward    ) != 0:
																					__snake_case		:      List[Any]										=       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    )    )
																					__snake_case		:      Tuple										=       node.forward

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

							def __iter__(							self	:  List[str]    )     ->   Tuple:
														__snake_case		:      Dict										=       self.head

														while len(node.forward    ) != 0:
																					yield node.forward[0].key
																					__snake_case		:      List[Any]										=       node.forward[0]

							def    __snake_case (							self	:  Optional[int]    )     ->   int:
														__snake_case		:      Dict										=       1
														while random() < self.p and level < self.max_level:
																					level += 1

														return level

							def    __snake_case (							self	:  List[Any]   ,     lowerCamelCase	:  str    )     ->   tuple[Node[KT, VT] | None, list[Node[KT, VT]]]:
														__snake_case		:      Optional[int]										=       []

														__snake_case		:      Union[str, 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		:      List[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    __snake_case (							self	:  Optional[Any]   ,     lowerCamelCase	:  KT    )     ->   List[Any]:
														__snake_case			,      __snake_case		:      Any										=       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:
																																										__snake_case		:      Tuple										=       node.forward[i]
																																			else:
																																										__snake_case		:      Optional[int]										=       update_node.forward[:i]

							def    __snake_case (							self	:  Union[str, Any]   ,     lowerCamelCase	:  KT   ,     lowerCamelCase	:  VT    )     ->   Optional[Any]:
														__snake_case			,      __snake_case		:      Union[str, Any]										=       self._locate_node(lowerCamelCase    )
														if node is not None:
																					__snake_case		:      List[Any]										=       value
														else:
																					__snake_case		:      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   ,     lowerCamelCase    ):
																																			update_vector.append(self.head    )
																												__snake_case		:      Optional[Any]										=       level

																					__snake_case		:      Optional[Any]										=       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:
																																			__snake_case		:      Optional[int]										=       new_node






							def    __snake_case (							self	:  str   ,     lowerCamelCase	:  VT    )     ->   VT | None:
														__snake_case			,      __snake_case		:      Any										=       self._locate_node(lowerCamelCase    )

														if node is not None:
																					return node.value

														return None







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

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

							assert len(__lowerCamelCase     ) == 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     lowerCAmelCase_					( ):
							__snake_case		:      Optional[int]										=       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     )

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

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







def     lowerCAmelCase_					( ):
							__snake_case		:      str										=       SkipList()
							assert skip_list.find("Some key"     ) is None







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

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







def     lowerCAmelCase_					( ):
							__snake_case		:      str										=       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     lowerCAmelCase_					( ):
							__snake_case		:      Optional[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     lowerCAmelCase_					( ):
							__snake_case		:      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(__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     lowerCAmelCase_					( ):
							def is_sorted(__lowerCamelCase     ):
														return all(next_item >= item for item, next_item in zip(__lowerCamelCase							,     lst[1:]     )     )

							__snake_case		:      Optional[int]										=       SkipList()
							for i in range(1_0     ):
														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(-1_2							,     -1_2     )
							skip_list.insert(7_7							,     7_7     )
							assert is_sorted(list(__lowerCamelCase     )     )







def     lowerCAmelCase_					( ):
							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     lowerCAmelCase_					( ):
							__snake_case		:      Tuple										=       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()





# Copyright 2021 The HuggingFace Team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.

from pathlib import Path

import torch

from ...utils import is_npu_available, is_xpu_available
from .config_args import ClusterConfig, default_json_config_file
from .config_utils import SubcommandHelpFormatter


_snake_case					:		Optional[Any]      =    "Create a default config file for Accelerate with only a few flags set."







def     lowerCAmelCase_					( __lowerCamelCase="no"							,     __lowerCamelCase = default_json_config_file							,     __lowerCamelCase = False     ):
							__snake_case		:      int										=       Path(__lowerCamelCase     )
							path.parent.mkdir(parents=__lowerCamelCase							,     exist_ok=__lowerCamelCase     )
							if path.exists():
														print(
														    F'Configuration already exists at {save_location}, will not override. Run `accelerate config` manually or pass a different `save_location`.'     )
														return False
							__snake_case		:      Any										=       mixed_precision.lower()
							if mixed_precision not in ["no", "fp16", "bf16", "fp8"]:
														raise ValueError(
														    F'`mixed_precision` should be one of \'no\', \'fp16\', \'bf16\', or \'fp8\'. Received {mixed_precision}'     )
							__snake_case		:      Optional[int]										=       {
							    "compute_environment": "LOCAL_MACHINE",
							    "mixed_precision": mixed_precision,
							}
							if torch.cuda.is_available():
														__snake_case		:      Dict										=       torch.cuda.device_count()
														__snake_case		:      Tuple										=       num_gpus
														__snake_case		:      List[str]										=       False
														if num_gpus > 1:
																					__snake_case		:      Optional[int]										=       "MULTI_GPU"
														else:
																					__snake_case		:      Dict										=       "NO"
							elif is_xpu_available() and use_xpu:
														__snake_case		:      List[str]										=       torch.xpu.device_count()
														__snake_case		:      str										=       num_xpus
														__snake_case		:      int										=       False
														if num_xpus > 1:
																					__snake_case		:      Optional[int]										=       "MULTI_XPU"
														else:
																					__snake_case		:      str										=       "NO"
							elif is_npu_available():
														__snake_case		:      Any										=       torch.npu.device_count()
														__snake_case		:      str										=       num_npus
														__snake_case		:      str										=       False
														if num_npus > 1:
																					__snake_case		:      Optional[int]										=       "MULTI_NPU"
														else:
																					__snake_case		:      int										=       "NO"
							else:
														__snake_case		:      List[Any]										=       0
														__snake_case		:      Dict										=       True
														__snake_case		:      Tuple										=       1
														__snake_case		:      Tuple										=       "NO"
							__snake_case		:      str										=       ClusterConfig(**__lowerCamelCase     )
							config.to_json_file(__lowerCamelCase     )
							return path







def     lowerCAmelCase_					( __lowerCamelCase							,     __lowerCamelCase     ):
							__snake_case		:      Optional[Any]										=       parser.add_parser("default"							,     parents=__lowerCamelCase							,     help=__lowerCamelCase							,     formatter_class=__lowerCamelCase     )
							parser.add_argument(
							    "--config_file"							,     default=__lowerCamelCase							,     help=(
							        "The path to use to store the config file. Will default to a file named default_config.yaml in the cache "
							        "location, which is the content of the environment `HF_HOME` suffixed with 'accelerate', or if you don't have "
							        "such an environment variable, your cache directory ('~/.cache' or the content of `XDG_CACHE_HOME`) suffixed "
							        "with 'huggingface'."
							    )							,     dest="save_location"							,     )

							parser.add_argument(
							    "--mixed_precision"							,     choices=["no", "fp16", "bf16"]							,     type=__lowerCamelCase							,     help="Whether or not to use mixed precision training. "
							    "Choose between FP16 and BF16 (bfloat16) training. "
							    "BF16 training is only supported on Nvidia Ampere GPUs and PyTorch 1.10 or later."							,     default="no"							,     )
							parser.set_defaults(func=__lowerCamelCase     )
							return parser







def     lowerCAmelCase_					( __lowerCamelCase     ):
							__snake_case		:      List[Any]										=       write_basic_config(args.mixed_precision							,     args.save_location     )
							if config_file:
														print(F'accelerate configuration saved at {config_file}'     )

