



"""simple docstring"""




import numpy as np
import requests
def 					lowerCAmelCase  (   ):
 '''simple docstring'''





 UpperCAmelCase__   :					List[Any]   				=   requests.get(
     """https://raw.githubusercontent.com/yashLadha/The_Math_of_Intelligence/"""
     """master/Week1/ADRvsRating.csv""" )
 UpperCAmelCase__   :					Union[str, Any]   				=   response.text.splitlines()
 UpperCAmelCase__   :					List[Any]   				=   []
 for item in lines:
  UpperCAmelCase__   :					Tuple   				=   item.split(""",""" )
  data.append(lowercase_ )
 data.pop(0 )  # This is for removing the labels from the list
 UpperCAmelCase__   :					Union[str, Any]   				=   np.matrix(lowercase_ )
 return dataset
def 					lowerCAmelCase  (   __UpperCamelCase							,      __UpperCamelCase							,      __UpperCamelCase							,      __UpperCamelCase							,      __UpperCamelCase ):
 '''simple docstring'''





 UpperCAmelCase__   :					Dict   				=   len_data

 UpperCAmelCase__   :					int   				=   np.dot(lowercase_							,      data_x.transpose() )
 prod -= data_y.transpose()
 UpperCAmelCase__   :					Tuple   				=   np.dot(lowercase_							,      lowercase_ )
 UpperCAmelCase__   :					str   				=   theta - (alpha / n) * sum_grad
 return theta
def 					lowerCAmelCase  (   __UpperCamelCase							,      __UpperCamelCase							,      __UpperCamelCase							,      __UpperCamelCase ):
 '''simple docstring'''





 UpperCAmelCase__   :					Dict   				=   np.dot(lowercase_							,      data_x.transpose() )
 prod -= data_y.transpose()
 UpperCAmelCase__   :					str   				=   np.sum(np.square(lowercase_ ) )
 UpperCAmelCase__   :					List[str]   				=   sum_elem / (2 * len_data)
 return error
def 					lowerCAmelCase  (   __UpperCamelCase							,      __UpperCamelCase ):
 '''simple docstring'''





 UpperCAmelCase__   :					str   				=   100000
 UpperCAmelCase__   :					Optional[Any]   				=   0.000_1550

 UpperCAmelCase__   :					Optional[Any]   				=   data_x.shape[1]
 UpperCAmelCase__   :					Optional[Any]   				=   data_x.shape[0] - 1

 UpperCAmelCase__   :					Optional[int]   				=   np.zeros((1, no_features) )

 for i in range(0							,      lowercase_ ):
  UpperCAmelCase__   :					List[Any]   				=   run_steep_gradient_descent(lowercase_							,      lowercase_							,      lowercase_							,      lowercase_							,      lowercase_ )
  UpperCAmelCase__   :					Dict   				=   sum_of_square_error(lowercase_							,      lowercase_							,      lowercase_							,      lowercase_ )
  print(F"At Iteration {i + 1} - Error is {error:.5f}" )

 return theta
def 					lowerCAmelCase  (   __UpperCamelCase							,      __UpperCamelCase ):
 '''simple docstring'''





 UpperCAmelCase__   :					Optional[Any]   				=   sum(abs(y - predicted_y[i] ) for i, y in enumerate(lowercase_ ) )
 return total / len(lowercase_ )
def 					lowerCAmelCase  (   ):
 '''simple docstring'''





 UpperCAmelCase__   :					str   				=   collect_dataset()

 UpperCAmelCase__   :					Union[str, Any]   				=   data.shape[0]
 UpperCAmelCase__   :					Tuple   				=   np.c_[np.ones(lowercase_ ), data[:, :-1]].astype(lowercase_ )
 UpperCAmelCase__   :					Tuple   				=   data[:, -1].astype(lowercase_ )

 UpperCAmelCase__   :					Any   				=   run_linear_regression(lowercase_							,      lowercase_ )
 UpperCAmelCase__   :					str   				=   theta.shape[1]
 print("""Resultant Feature vector : """ )
 for i in range(0							,      lowercase_ ):
  print(F"{theta[0, i]:.5f}" )


if __name__ == "__main__":
      main()








"""simple docstring"""




from __future__ import annotations
def 					lowerCAmelCase  (   __UpperCamelCase							,      __UpperCamelCase							,      __UpperCamelCase							,      __UpperCamelCase ):
 '''simple docstring'''





 UpperCAmelCase__				, UpperCAmelCase__   :					Optional[Any]   				=   m - 1, 0
 while i >= 0 and j < n:
  if key == mat[i][j]:
   print(F"Key {key} found at row- {i + 1} column- {j + 1}" )
   return
  if key < mat[i][j]:
   i -= 1
  else:
   j += 1
 print(F"Key {key} not found" )
def 					lowerCAmelCase  (   ):
 '''simple docstring'''





 UpperCAmelCase__   :					Union[str, Any]   				=   [[2, 5, 7], [4, 8, 13], [9, 11, 15], [12, 17, 20]]
 UpperCAmelCase__   :					int   				=   int(input("""Enter the element to be searched:""" ) )
 print(__UpperCamelCase )
 search_in_a_sorted_matrix(__UpperCamelCase							,      len(__UpperCamelCase )							,      len(mat[0] )							,      __UpperCamelCase )


if __name__ == "__main__":
      import doctest

      doctest.testmod()
      main()





