





"""simple docstring"""





import numpy

# List of input, output pairs
lowercase__				:Optional[int]				   =       (
    ((5, 2, 3), 1_5),
    ((6, 5, 9), 2_5),
    ((1_1, 1_2, 1_3), 4_1),
    ((1, 1, 1), 8),
    ((1_1, 1_2, 1_3), 4_1),
)
lowercase__				:int				   =       (((5_1_5, 2_2, 1_3), 5_5_5), ((6_1, 3_5, 4_9), 1_5_0))
lowercase__				:Union[str, Any]				   =       [2, 4, 1, 5]
lowercase__				:Optional[int]				   =       len(train_data)
lowercase__				:Any				   =       0.009


def 					lowerCamelCase_       (   UpperCAmelCase_  ,			UpperCAmelCase_="train"  )						->Tuple:





  """simple docstring"""


  return calculate_hypothesis_value(_lowerCamelCase  ,			_lowerCamelCase  ) - output(
      _lowerCamelCase  ,			_lowerCamelCase  )


def 					lowerCamelCase_       (   UpperCAmelCase_  )						->List[str]:





  """simple docstring"""


  __UpperCAmelCase    :						List[Any]       =						0
  for i in range(len(_lowerCamelCase  ) - 1  ):
    hyp_val += data_input_tuple[i] * parameter_vector[i + 1]
  hyp_val += parameter_vector[0]
  return hyp_val


def 					lowerCamelCase_       (   UpperCAmelCase_  ,			UpperCAmelCase_  )						->List[str]:





  """simple docstring"""


  if data_set == "train":
    return train_data[example_no][1]
  elif data_set == "test":
    return test_data[example_no][1]
  return None


def 					lowerCamelCase_       (   UpperCAmelCase_  ,			UpperCAmelCase_  )						->Optional[Any]:





  """simple docstring"""


  if data_set == "train":
    return _hypothesis_value(train_data[example_no][0]  )
  elif data_set == "test":
    return _hypothesis_value(test_data[example_no][0]  )
  return None


def 					lowerCamelCase_       (   UpperCAmelCase_  ,			UpperCAmelCase_=m  )						->Optional[int]:





  """simple docstring"""


  __UpperCAmelCase    :						Union[str, Any]       =						0
  for i in range(_lowerCamelCase  ):
    if index == -1:
      summation_value += _error(_lowerCamelCase  )
    else:
      summation_value += _error(_lowerCamelCase  ) * train_data[i][0][index]
  return summation_value


def 					lowerCamelCase_       (   UpperCAmelCase_  )						->List[str]:





  """simple docstring"""


  __UpperCAmelCase    :						List[str]       =						summation_of_cost_derivative(_lowerCamelCase  ,			_lowerCamelCase  ) / m
  return cost_derivative_value


def 					lowerCamelCase_       (   )						->Dict:





  """simple docstring"""


  global parameter_vector
  # Tune these values to set a tolerance value for predicted output
  __UpperCAmelCase    :						Union[str, Any]       =						0.000_002
  __UpperCAmelCase    :						Dict       =						0
  __UpperCAmelCase    :						Optional[int]       =						0
  while True:
    j += 1
    __UpperCAmelCase    :						List[Any]       =						[0, 0, 0, 0]
    for i in range(0  ,			len(_lowerCamelCase  )  ):
      __UpperCAmelCase    :						List[str]       =						get_cost_derivative(i - 1  )
      __UpperCAmelCase    :						Any       =						(
          parameter_vector[i] - LEARNING_RATE * cost_derivative
      )
    if numpy.allclose(
        _lowerCamelCase  ,			_lowerCamelCase  ,			atol=_lowerCamelCase  ,			rtol=_lowerCamelCase  ,			):
      break
    __UpperCAmelCase    :						List[Any]       =						temp_parameter_vector
  print(('''Number of iterations:''', j)  )


def 					lowerCamelCase_       (   )						->Optional[Any]:





  """simple docstring"""


  for i in range(len(_lowerCamelCase  )  ):
    print(('''Actual output value:''', output(_lowerCamelCase  ,			'''test'''  ))  )
    print(('''Hypothesis output:''', calculate_hypothesis_value(_lowerCamelCase  ,			'''test'''  ))  )


if __name__ == "__main__":
  run_gradient_descent()
  print('\nTesting gradient descent for a linear hypothesis function.\n')
  test_gradient_descent()






"""simple docstring"""





from __future__ import annotations

import string
from itertools import cycle, product
from pathlib import Path

lowercase__				:str				   =       (
    string.ascii_letters + string.digits + string.punctuation + string.whitespace
)
lowercase__				:list[int]				   =       [ord(letter) for letter in string.ascii_lowercase]
lowercase__				:set[int]				   =       {ord(char) for char in VALID_CHARS}

lowercase__				:list[str]				   =       ["the", "be", "to", "of", "and", "in", "that", "have"]


def       lowerCamelCase_       (   UpperCAmelCase_  ,			UpperCAmelCase_  )						->str | None:





  """simple docstring"""


  __UpperCAmelCase    :						str       =						""
  __UpperCAmelCase    :						int
  __UpperCAmelCase    :						int
  __UpperCAmelCase    :						int

  for keychar, cipherchar in zip(cycle(UpperCAmelCase_  )  ,			UpperCAmelCase_  ):
    __UpperCAmelCase    :						Optional[Any]       =						cipherchar ^ keychar
    if decodedchar not in VALID_INTS:
      return None
    decoded += chr(UpperCAmelCase_  )

  return decoded


def       lowerCamelCase_       (   UpperCAmelCase_  )						->list[str]:





  """simple docstring"""


  __UpperCAmelCase    :						list[str]       =						[]
  for key in product(UpperCAmelCase_  ,			repeat=3  ):
    __UpperCAmelCase    :						List[Any]       =						try_key(UpperCAmelCase_  ,			UpperCAmelCase_  )
    if encoded is not None:
      possibles.append(UpperCAmelCase_  )
  return possibles


def       lowerCamelCase_       (   UpperCAmelCase_  ,			UpperCAmelCase_  )						->list[str]:





  """simple docstring"""


  return [possible for possible in possibles if common_word in possible.lower()]


def       lowerCamelCase_       (   UpperCAmelCase_ = "p059_cipher.txt"  )						->int:





  """simple docstring"""


  __UpperCAmelCase    :						list[int]
  __UpperCAmelCase    :						list[str]
  __UpperCAmelCase    :						str
  __UpperCAmelCase    :						str
  __UpperCAmelCase    :						str       =						Path(UpperCAmelCase_  ).parent.joinpath(UpperCAmelCase_  ).read_text(encoding='''utf-8'''  )

  __UpperCAmelCase    :						List[str]       =						[int(UpperCAmelCase_  ) for number in data.strip().split(''','''  )]

  __UpperCAmelCase    :						List[Any]       =						filter_valid_chars(UpperCAmelCase_  )
  for common_word in COMMON_WORDS:
    __UpperCAmelCase    :						Optional[int]       =						filter_common_word(UpperCAmelCase_  ,			UpperCAmelCase_  )
    if len(UpperCAmelCase_  ) == 1:
      break

  __UpperCAmelCase    :						Optional[Any]       =						possibles[0]
  return sum(ord(UpperCAmelCase_  ) for char in decoded_text  )


if __name__ == "__main__":
  print(f"""{solution() = }""")