




'''simple docstring'''







import numpy as np
import requests



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



def 					lowerCamelCase__							(			__lowercase    ,      __lowercase    ,      __lowercase    ,      __lowercase    ,      __lowercase							):
     snake_case :			Any					   = len_data

     snake_case :			int					   = np.dot(__lowercase    ,      data_x.transpose()							)
     prod -= data_y.transpose()
     snake_case :			Any					   = np.dot(__lowercase    ,      __lowercase							)
     snake_case :			int					   = theta - (alpha / n) * sum_grad
     return theta



def 					lowerCamelCase__							(			__lowercase    ,      __lowercase    ,      __lowercase    ,      __lowercase							):
     snake_case :			Tuple					   = np.dot(__lowercase    ,      data_x.transpose()							)
     prod -= data_y.transpose()
     snake_case :			int					   = np.sum(np.square(__lowercase							)							)
     snake_case :			List[Any]					   = sum_elem / (2 * len_data)
     return error



def 					lowerCamelCase__							(			__lowercase    ,      __lowercase							):
     snake_case :			int					   = 100_000
     snake_case :			int					   = 0.000_1550

     snake_case :			List[Any]					   = data_x.shape[1]
     snake_case :			Any					   = data_x.shape[0] - 1

     snake_case :			Any					   = np.zeros((1, no_features)							)

     for i in range(0    ,      __lowercase							):
          snake_case :			Optional[int]					   = run_steep_gradient_descent(__lowercase    ,      __lowercase    ,      __lowercase    ,      __lowercase    ,      __lowercase							)
          snake_case :			Dict					   = sum_of_square_error(__lowercase    ,      __lowercase    ,      __lowercase    ,      __lowercase							)
          print(F'''At Iteration {i + 1} - Error is {error:.5f}'''							)

     return theta



def 					lowerCamelCase__							(			__lowercase    ,      __lowercase							):
     snake_case :			List[Any]					   = sum(abs(y - predicted_y[i]							) for i, y in enumerate(__lowercase							)							)
     return total / len(__lowercase							)



def 					lowerCamelCase__							(			):
     snake_case :			Optional[int]					   = collect_dataset()

     snake_case :			List[Any]					   = data.shape[0]
     snake_case :			int					   = np.c_[np.ones(__lowercase							), data[:, :-1]].astype(__lowercase							)
     snake_case :			Optional[Any]					   = data[:, -1].astype(__lowercase							)

     snake_case :			List[Any]					   = run_linear_regression(__lowercase    ,      __lowercase							)
     snake_case :			Optional[Any]					   = 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

from collections.abc import Iterable, Iterator
from typing import Any, Generic, TypeVar

lowercase			:      Union[str, Any]			=					TypeVar("""T""", bound=bool)







class 				_a   (Generic[T]  ):





     '''simple docstring'''



     def __init__(							self       ,__a       )			->							None:
          snake_case :			T					   = value
          snake_case :			SkewNode[T] | None					   = None
          snake_case :			SkewNode[T] | None					   = None







     @property
     def  snake_case_			(							self       )			->							T:
          return self._value







     @staticmethod
     def  snake_case_			(							__a       ,__a       )			->							SkewNode[T] | None:
          if not roota:
               return roota

          if not roota:
               return roota

          if roota.value > roota.value:
               snake_case   ,		snake_case :			Tuple					   = roota, roota

          snake_case :			Tuple					   = roota
          snake_case :			Union[str, Any]					   = roota.right
          snake_case :			Any					   = roota.left
          snake_case :			Union[str, Any]					   = SkewNode.merge(__a       ,__a       )

          return result







class 				_a   (Generic[T]  ):





     '''simple docstring'''



     def __init__(							self       ,__a = ()       )			->							None:
          snake_case :			SkewNode[T] | None					   = None
          if data:
               for item in data:
                    self.insert(__a       )







     def __bool__(							self       )			->							bool:
          return self._root is not None







     def __iter__(							self       )			->							Iterator[T]:
          snake_case :			list[Any]					   = []
          while self:
               result.append(self.pop()       )

          # Pushing items back to the heap not to clear it.
          for item in result:
               self.insert(__a       )

          return iter(__a       )







     def  snake_case_			(							self       ,__a       )			->							None:
          snake_case :			List[Any]					   = SkewNode.merge(self._root       ,SkewNode(__a       )       )







     def  snake_case_			(							self       )			->							T | None:
          snake_case :			Tuple					   = self.top()
          snake_case :			int					   = (
              SkewNode.merge(self._root.left       ,self._root.right       ) if self._root else None
          )

          return result







     def  snake_case_			(							self       )			->							T:
          if not self._root:
               raise IndexError("""Can't get top element for the empty heap."""       )
          return self._root.value







     def  snake_case_			(							self       )			->							None:
          snake_case :			Any					   = None


if __name__ == "__main__":
      import doctest

      doctest.testmod()



