



import numpy as np
import requests





def     __lowerCamelCase							(   ):
							a__:							Any									=requests.get(
							    "https://raw.githubusercontent.com/yashLadha/The_Math_of_Intelligence/"
							    "master/Week1/ADRvsRating.csv"    )
							a__:							Union[str, Any]									=response.text.splitlines()
							a__:							str									=[]
							for item in lines:
														a__:							Dict									=item.split(","    )
														data.append(__magic_name__    )
							data.pop(0    )  # This is for removing the labels from the list
							a__:							Union[str, Any]									=np.matrix(__magic_name__    )
							return dataset





def     __lowerCamelCase							(   __magic_name__						:	int  ,			__magic_name__						:	List[str]  ,			__magic_name__						:	Optional[Any]  ,			__magic_name__						:	Any  ,			__magic_name__						:	int    ):
							a__:							str									=len_data

							a__:							str									=np.dot(__magic_name__  ,			data_x.transpose()    )
							prod -= data_y.transpose()
							a__:							Optional[int]									=np.dot(__magic_name__  ,			__magic_name__    )
							a__:							str									=theta - (alpha / n) * sum_grad
							return theta





def     __lowerCamelCase							(   __magic_name__						:	Dict  ,			__magic_name__						:	Dict  ,			__magic_name__						:	List[Any]  ,			__magic_name__						:	Optional[int]    ):
							a__:							List[Any]									=np.dot(__magic_name__  ,			data_x.transpose()    )
							prod -= data_y.transpose()
							a__:							Tuple									=np.sum(np.square(__magic_name__    )    )
							a__:							List[Any]									=sum_elem / (2 * len_data)
							return error





def     __lowerCamelCase							(   __magic_name__						:	List[str]  ,			__magic_name__						:	List[str]    ):
							a__:							Optional[Any]									=100_000
							a__:							str									=0.0_001_550

							a__:							Union[str, Any]									=data_x.shape[1]
							a__:							int									=data_x.shape[0] - 1

							a__:							Union[str, Any]									=np.zeros((1, no_features)    )

							for i in range(0  ,			__magic_name__    ):
														a__:							int									=run_steep_gradient_descent(__magic_name__  ,			__magic_name__  ,			__magic_name__  ,			__magic_name__  ,			__magic_name__    )
														a__:							int									=sum_of_square_error(__magic_name__  ,			__magic_name__  ,			__magic_name__  ,			__magic_name__    )
														print(F"At Iteration {i + 1} - Error is {error:.5f}"    )

							return theta





def     __lowerCamelCase							(   __magic_name__						:	Dict  ,			__magic_name__						:	Optional[int]    ):
							a__:							Optional[Any]									=sum(abs(y - predicted_y[i]    ) for i, y in enumerate(__magic_name__    )    )
							return total / len(__magic_name__    )





def     __lowerCamelCase							(   ):
							a__:							str									=collect_dataset()

							a__:							int									=data.shape[0]
							a__:							Optional[Any]									=np.c_[np.ones(__magic_name__    ), data[:, :-1]].astype(__magic_name__    )
							a__:							str									=data[:, -1].astype(__magic_name__    )

							a__:							Dict									=run_linear_regression(__magic_name__  ,			__magic_name__    )
							a__:							Tuple									=theta.shape[1]
							print("Resultant Feature vector : "    )
							for i in range(0  ,			__magic_name__    ):
														print(F"{theta[0, i]:.5f}"    )


if __name__ == "__main__":
		main()










from __future__ import annotations





def     __lowerCamelCase							(   __magic_name__						:	int    ):
							for r in range(1  ,			__magic_name__    ):
														a__:							List[str]									=[]
														for x in range(n - 1    ):
																					a__:							int									=pow(__magic_name__  ,			__magic_name__  ,			__magic_name__    )
																					if val in li:
																												break
																					li.append(__magic_name__    )
														else:
																					return r
							return None


if __name__ == "__main__":
		__UpperCAmelCase    	=  int(input('''Enter a prime number q: '''))
		__UpperCAmelCase    	=  find_primitive(q)
		if a is None:
				print(f"""Cannot find the primitive for the value: {a!r}""")
		else:
				__UpperCAmelCase    	=  int(input('''Enter private key of A: '''))
				__UpperCAmelCase    	=  pow(a, a_private, q)
				__UpperCAmelCase    	=  int(input('''Enter private key of B: '''))
				__UpperCAmelCase    	=  pow(a, b_private, q)

				__UpperCAmelCase    	=  pow(b_public, a_private, q)
				__UpperCAmelCase    	=  pow(a_public, b_private, q)

				print('''The key value generated by A is: ''', a_secret)
				print('''The key value generated by B is: ''', b_secret)





