

"""simple docstring"""






from math import factorial







class    snake_case__	:







			def __init__(      self      :			Any      ,	lowercase      :			Dict      ,	lowercase      :			str	):





								'''simple docstring'''



								UpperCAmelCase      : List[str]   =					real
								if isinstance(_lowercase      ,	_lowercase	):
													UpperCAmelCase      : List[str]   =					[1] * rank
								else:
													UpperCAmelCase      : Dict   =					rank







			def __repr__(      self      :			Optional[int]	):





								'''simple docstring'''



								return (
								    f"""{self.real}+"""
								    f"""{'+'.join(str(_lowercase	)+'E'+str(n+1	)for n,dual in enumerate(self.duals	)	)}"""
								)







			def       __lowerCAmelCase					(      self      :			Dict	):





								'''simple docstring'''



								UpperCAmelCase      : Dict   =					self.duals.copy()
								while cur[-1] == 0:
													cur.pop(-1	)
								return Dual(self.real      ,	_lowercase	)







			def __add__(      self      :			Dict      ,	lowercase      :			Dict	):





								'''simple docstring'''



								if not isinstance(_lowercase      ,	_lowercase	):
													return Dual(self.real + other      ,	self.duals	)
								UpperCAmelCase      : List[str]   =					self.duals.copy()
								UpperCAmelCase      : Tuple   =					other.duals.copy()
								if len(_lowercase	) > len(_lowercase	):
													o_dual.extend([1] * (len(_lowercase	) - len(_lowercase	))	)
								elif len(_lowercase	) < len(_lowercase	):
													s_dual.extend([1] * (len(_lowercase	) - len(_lowercase	))	)
								UpperCAmelCase      : List[str]   =					[]
								for i in range(len(_lowercase	)	):
													new_duals.append(s_dual[i] + o_dual[i]	)
								return Dual(self.real + other.real      ,	_lowercase	)

			SCREAMING_SNAKE_CASE__  					=    __add__







			def __sub__(      self      :			Tuple      ,	lowercase      :			Any	):





								'''simple docstring'''



								return self + other * -1







			def __mul__(      self      :			List[str]      ,	lowercase      :			Optional[int]	):





								'''simple docstring'''



								if not isinstance(_lowercase      ,	_lowercase	):
													UpperCAmelCase      : Union[str, Any]   =					[]
													for i in self.duals:
																		new_duals.append(i * other	)
													return Dual(self.real * other      ,	_lowercase	)
								UpperCAmelCase      : int   =					[0] * (len(self.duals	) + len(other.duals	) + 1)
								for i, item in enumerate(self.duals	):
													for j, jtem in enumerate(other.duals	):
																		new_duals[i + j + 1] += item * jtem
								for k in range(len(self.duals	)	):
													new_duals[k] += self.duals[k] * other.real
								for index in range(len(other.duals	)	):
													new_duals[index] += other.duals[index] * self.real
								return Dual(self.real * other.real      ,	_lowercase	)

			SCREAMING_SNAKE_CASE__  					=    __mul__







			def __truediv__(      self      :			List[Any]      ,	lowercase      :			str	):





								'''simple docstring'''



								if not isinstance(_lowercase      ,	_lowercase	):
													UpperCAmelCase      : List[str]   =					[]
													for i in self.duals:
																		new_duals.append(i / other	)
													return Dual(self.real / other      ,	_lowercase	)
								raise ValueError







			def __floordiv__(      self      :			Optional[Any]      ,	lowercase      :			Tuple	):





								'''simple docstring'''



								if not isinstance(_lowercase      ,	_lowercase	):
													UpperCAmelCase      : Optional[Any]   =					[]
													for i in self.duals:
																		new_duals.append(i // other	)
													return Dual(self.real // other      ,	_lowercase	)
								raise ValueError







			def __pow__(      self      :			Dict      ,	lowercase      :			Tuple	):





								'''simple docstring'''



								if n < 0 or isinstance(_lowercase      ,	_lowercase	):
													raise ValueError("power must be a positive integer"	)
								if n == 0:
													return 1
								if n == 1:
													return self
								UpperCAmelCase      : List[str]   =					self
								for _ in range(n - 1	):
													x *= self
								return x



def 	lowercase_						(     _lowercase							:		Union[str, Any]				,   _lowercase							:		Optional[int]				,   _lowercase							:		Dict						):




					'''simple docstring'''






					if not callable(_lowercase						):
										raise ValueError("differentiate() requires a function as input for func"						)
					if not isinstance(_lowercase				,   (float, int)						):
										raise ValueError("differentiate() requires a float as input for position"						)
					if not isinstance(_lowercase				,   _lowercase						):
										raise ValueError("differentiate() requires an int as input for order"						)
					UpperCAmelCase      : List[str]   =					Dual(_lowercase				,   1						)
					UpperCAmelCase      : Any   =					func(_lowercase						)
					if order == 0:
										return result.real
					return result.duals[order - 1] * factorial(_lowercase						)


if __name__ == "__main__":
	import doctest

	doctest.testmod()



	def 	lowercase_						(     _lowercase							:		List[str]						):




						'''simple docstring'''






						return y**2 * y**4




	print(differentiate(f, 9, 2))



# coding=utf-8
# Copyright 2023 The HuggingFace Inc. team.
#
# 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.

# this script dumps information about the environment

import os
import platform
import sys


UpperCAmelCase_           =				'''3'''

print('''Python version:''', sys.version)

print('''OS platform:''', platform.platform())
print('''OS architecture:''', platform.machine())

try:
  import torch

  print('''Torch version:''', torch.__version__)
  print('''Cuda available:''', torch.cuda.is_available())
  print('''Cuda version:''', torch.version.cuda)
  print('''CuDNN version:''', torch.backends.cudnn.version())
  print('''Number of GPUs available:''', torch.cuda.device_count())
except ImportError:
  print('''Torch version:''', None)

try:
  import transformers

  print('''transformers version:''', transformers.__version__)
except ImportError:
  print('''transformers version:''', None)