



import numpy as np
import requests


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


def     UpperCamelCase(						__UpperCamelCase							:	Dict  ,__UpperCamelCase							:	Union[str, Any]  ,__UpperCamelCase							:	str  ,__UpperCamelCase							:	Any  ,__UpperCamelCase							:	Optional[Any]				):
		lowerCAmelCase_    :  Optional[Any]             =				len_data

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


def     UpperCamelCase(						__UpperCamelCase							:	int  ,__UpperCamelCase							:	List[str]  ,__UpperCamelCase							:	List[str]  ,__UpperCamelCase							:	Dict				):
		lowerCAmelCase_    :  Dict             =				np.dot(__UpperCamelCase  ,data_x.transpose()				)
		prod -= data_y.transpose()
		lowerCAmelCase_    :  Tuple             =				np.sum(np.square(__UpperCamelCase				)				)
		lowerCAmelCase_    :  Optional[int]             =				sum_elem / (2 * len_data)
		return error


def     UpperCamelCase(						__UpperCamelCase							:	List[str]  ,__UpperCamelCase							:	Tuple				):
		lowerCAmelCase_    :  List[str]             =				100000
		lowerCAmelCase_    :  Tuple             =				0.0_0_0_1_5_5_0

		lowerCAmelCase_    :  str             =				data_x.shape[1]
		lowerCAmelCase_    :  int             =				data_x.shape[0] - 1

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

		for i in range(0  ,__UpperCamelCase				):
				lowerCAmelCase_    :  List[Any]             =				run_steep_gradient_descent(__UpperCamelCase  ,__UpperCamelCase  ,__UpperCamelCase  ,__UpperCamelCase  ,__UpperCamelCase				)
				lowerCAmelCase_    :  Optional[int]             =				sum_of_square_error(__UpperCamelCase  ,__UpperCamelCase  ,__UpperCamelCase  ,__UpperCamelCase				)
				print(f"""At Iteration {i + 1} - Error is {error:.5f}"""				)

		return theta


def     UpperCamelCase(						__UpperCamelCase							:	Dict  ,__UpperCamelCase							:	Any				):
		lowerCAmelCase_    :  Optional[Any]             =				sum(abs(y - predicted_y[i]				) for i, y in enumerate(__UpperCamelCase				)				)
		return total / len(__UpperCamelCase				)


def     UpperCamelCase(						):
		lowerCAmelCase_    :  str             =				collect_dataset()

		lowerCAmelCase_    :  Optional[int]             =				data.shape[0]
		lowerCAmelCase_    :  List[str]             =				np.c_[np.ones(__UpperCamelCase				), data[:, :-1]].astype(__UpperCamelCase				)
		lowerCAmelCase_    :  Optional[int]             =				data[:, -1].astype(__UpperCamelCase				)

		lowerCAmelCase_    :  List[Any]             =				run_linear_regression(__UpperCamelCase  ,__UpperCamelCase				)
		lowerCAmelCase_    :  Any             =				theta.shape[1]
		print('''Resultant Feature vector : '''				)
		for i in range(0  ,__UpperCamelCase				):
				print(f"""{theta[0, i]:.5f}"""				)


if __name__ == "__main__":
						main()










from __future__ import annotations

A__						:						Tuple          =      '''Alexander Joslin'''


def     UpperCamelCase(						__UpperCamelCase							:	int				):

		if number <= 0:
				lowerCAmelCase_    :  str             =				f"""n must be greater than 0. Got n = {number}"""
				raise ValueError(__UpperCamelCase				)

		lowerCAmelCase_    :  str             =				[number + 1] * (number + 1)

		# starting position
		lowerCAmelCase_    :  List[Any]             =				0
		for i in range(1  ,__UpperCamelCase				):
				lowerCAmelCase_    :  int             =				min(table[i + 1]  ,table[i] + 1				)
				# check if out of bounds
				if i * 2 <= number:
						lowerCAmelCase_    :  Union[str, Any]             =				min(table[i * 2]  ,table[i] + 1				)
				# check if out of bounds
				if i * 3 <= number:
						lowerCAmelCase_    :  Union[str, Any]             =				min(table[i * 3]  ,table[i] + 1				)
		return table[number]


if __name__ == "__main__":
						import doctest

						doctest.testmod()





