




"""simple docstring"""







import math






class  SCREAMING_SNAKE_CASE__   :


						def __init__(							self			:     Any  ,  lowerCAmelCase			:     List[str]   ):
										lowerCAmelCase		=			len(lowerCAmelCase   )
										lowerCAmelCase		=			[0] * (
										    4 * self.N
										)  # approximate the overall size of segment tree with array N
										self.build(1  ,  0  ,  self.N - 1   )


						def 					__lowercase	(							self			:     List[Any]  ,  lowerCAmelCase			:     int   ):
										return idx * 2


						def 					__lowercase	(							self			:     Any  ,  lowerCAmelCase			:     List[str]   ):
										return idx * 2 + 1


						def 					__lowercase	(							self			:     Optional[int]  ,  lowerCAmelCase			:     int  ,  lowerCAmelCase			:     Dict  ,  lowerCAmelCase			:     Dict   ):  # noqa: E741
										if l == r:
														lowerCAmelCase		=			A[l]
										else:
														lowerCAmelCase		=			(l + r) // 2
														self.build(self.left(lowerCAmelCase   )  ,  lowerCAmelCase  ,  lowerCAmelCase   )
														self.build(self.right(lowerCAmelCase   )  ,  mid + 1  ,  lowerCAmelCase   )
														lowerCAmelCase		=			max(self.st[self.left(lowerCAmelCase   )]  ,  self.st[self.right(lowerCAmelCase   )]   )


						def 					__lowercase	(							self			:     Optional[int]  ,  lowerCAmelCase			:     str  ,  lowerCAmelCase			:     Any  ,  lowerCAmelCase			:     Any   ):
										return self.update_recursive(1  ,  0  ,  self.N - 1  ,  a - 1  ,  b - 1  ,  lowerCAmelCase   )


						def 					__lowercase	(							self			:     Dict  ,  lowerCAmelCase			:     int  ,  lowerCAmelCase			:     str  ,  lowerCAmelCase			:     int  ,  lowerCAmelCase			:     Any  ,  lowerCAmelCase			:     int  ,  lowerCAmelCase			:     Optional[Any]   ):  # noqa: E741
										if r < a or l > b:
														return True
										if l == r:
														lowerCAmelCase		=			val
														return True
										lowerCAmelCase		=			(l + r) // 2
										self.update_recursive(self.left(lowerCAmelCase   )  ,  lowerCAmelCase  ,  lowerCAmelCase  ,  lowerCAmelCase  ,  lowerCAmelCase  ,  lowerCAmelCase   )
										self.update_recursive(self.right(lowerCAmelCase   )  ,  mid + 1  ,  lowerCAmelCase  ,  lowerCAmelCase  ,  lowerCAmelCase  ,  lowerCAmelCase   )
										lowerCAmelCase		=			max(self.st[self.left(lowerCAmelCase   )]  ,  self.st[self.right(lowerCAmelCase   )]   )
										return True


						def 					__lowercase	(							self			:     Tuple  ,  lowerCAmelCase			:     Tuple  ,  lowerCAmelCase			:     Optional[int]   ):
										return self.query_recursive(1  ,  0  ,  self.N - 1  ,  a - 1  ,  b - 1   )


						def 					__lowercase	(							self			:     Any  ,  lowerCAmelCase			:     str  ,  lowerCAmelCase			:     str  ,  lowerCAmelCase			:     Optional[int]  ,  lowerCAmelCase			:     Optional[int]  ,  lowerCAmelCase			:     List[Any]   ):  # noqa: E741
										if r < a or l > b:
														return -math.inf
										if l >= a and r <= b:
														return self.st[idx]
										lowerCAmelCase		=			(l + r) // 2
										lowerCAmelCase		=			self.query_recursive(self.left(lowerCAmelCase   )  ,  lowerCAmelCase  ,  lowerCAmelCase  ,  lowerCAmelCase  ,  lowerCAmelCase   )
										lowerCAmelCase		=			self.query_recursive(self.right(lowerCAmelCase   )  ,  mid + 1  ,  lowerCAmelCase  ,  lowerCAmelCase  ,  lowerCAmelCase   )
										return max(lowerCAmelCase  ,  lowerCAmelCase   )




						def 					__lowercase	(							self			:     Any   ):
										lowerCAmelCase		=			[]
										for i in range(1  ,  N + 1   ):
														show_list += [self.query(lowerCAmelCase  ,  lowerCAmelCase   )]
										print(lowerCAmelCase   )


if __name__ == "__main__":
		a								=							[1, 2, -4, 7, 3, -5, 6, 1_1, -2_0, 9, 1_4, 1_5, 5, 2, -8]
		a								=							1_5
		a								=							SegmentTree(A)
		print(segt.query(4, 6))
		print(segt.query(7, 1_1))
		print(segt.query(7, 1_2))
		segt.update(1, 3, 1_1_1)
		print(segt.query(1, 1_5))
		segt.update(7, 8, 2_3_5)
		segt.show_data()











"""simple docstring"""







import numpy as np
import requests





def 							lowercase   ()       ->					Optional[int]:


				'''simple docstring'''






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





def 							lowercase   (snake_case__				:	List[str] ,    snake_case__				:	int ,    snake_case__				:	List[str] ,    snake_case__				:	Tuple ,    snake_case__				:	Union[str, Any]	)       ->					str:


				'''simple docstring'''






				lowerCAmelCase		=			len_data

				lowerCAmelCase		=			np.dot(snake_case__ ,    data_x.transpose()	)
				prod -= data_y.transpose()
				lowerCAmelCase		=			np.dot(snake_case__ ,    snake_case__	)
				lowerCAmelCase		=			theta - (alpha / n) * sum_grad
				return theta





def 							lowercase   (snake_case__				:	Any ,    snake_case__				:	int ,    snake_case__				:	Any ,    snake_case__				:	Dict	)       ->					List[str]:


				'''simple docstring'''






				lowerCAmelCase		=			np.dot(snake_case__ ,    data_x.transpose()	)
				prod -= data_y.transpose()
				lowerCAmelCase		=			np.sum(np.square(snake_case__	)	)
				lowerCAmelCase		=			sum_elem / (2 * len_data)
				return error





def 							lowercase   (snake_case__				:	Optional[Any] ,    snake_case__				:	List[Any]	)       ->					str:


				'''simple docstring'''






				lowerCAmelCase		=			100_000
				lowerCAmelCase		=			0.0_001_550

				lowerCAmelCase		=			data_x.shape[1]
				lowerCAmelCase		=			data_x.shape[0] - 1

				lowerCAmelCase		=			np.zeros((1, no_features)	)

				for i in range(0 ,    snake_case__	):
								lowerCAmelCase		=			run_steep_gradient_descent(snake_case__ ,    snake_case__ ,    snake_case__ ,    snake_case__ ,    snake_case__	)
								lowerCAmelCase		=			sum_of_square_error(snake_case__ ,    snake_case__ ,    snake_case__ ,    snake_case__	)
								print(f'''At Iteration {i + 1} - Error is {error:.5f}'''	)

				return theta





def 							lowercase   (snake_case__				:	List[str] ,    snake_case__				:	Optional[int]	)       ->					List[str]:


				'''simple docstring'''






				lowerCAmelCase		=			sum(abs(y - predicted_y[i]	) for i, y in enumerate(snake_case__	)	)
				return total / len(snake_case__	)





def 							lowercase   ()       ->					Optional[int]:


				'''simple docstring'''






				lowerCAmelCase		=			collect_dataset()

				lowerCAmelCase		=			data.shape[0]
				lowerCAmelCase		=			np.c_[np.ones(snake_case__	), data[:, :-1]].astype(snake_case__	)
				lowerCAmelCase		=			data[:, -1].astype(snake_case__	)

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


if __name__ == "__main__":
		main()





