



'''simple docstring'''







import matplotlib.pyplot as plt
import numpy as np







def  SCREAMING_SNAKE_CASE__ (				SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE     ):
		SCREAMING_SNAKE_CASE_						:str										=      len(SCREAMING_SNAKE_CASE     )  # Number of training samples
		SCREAMING_SNAKE_CASE_						:List[Any]										=      np.eye(SCREAMING_SNAKE_CASE     )  # Initialize weights as identity matrix
		for j in range(SCREAMING_SNAKE_CASE     ):
				SCREAMING_SNAKE_CASE_						:Tuple										=      point - x_train[j]
				SCREAMING_SNAKE_CASE_						:Optional[int]										=      np.exp(diff @ diff.T / (-2.0 * tau**2)     )

		return weights







def  SCREAMING_SNAKE_CASE__ (				SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE     ):
		SCREAMING_SNAKE_CASE_						:int										=      weight_matrix(SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE     )
		SCREAMING_SNAKE_CASE_						:str										=      np.linalg.inv(x_train.T @ weight_mat @ x_train     ) @ (
		    x_train.T @ weight_mat @ y_train.T
		)

		return weight







def  SCREAMING_SNAKE_CASE__ (				SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE     ):
		SCREAMING_SNAKE_CASE_						:int										=      np.zeros(len(SCREAMING_SNAKE_CASE     )     )  # Initialize array of predictions
		for i, item in enumerate(SCREAMING_SNAKE_CASE     ):
				SCREAMING_SNAKE_CASE_						:Dict										=      item @ local_weight(SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE     )

		return y_pred







def  SCREAMING_SNAKE_CASE__ (				SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE     ):
		import seaborn as sns

		SCREAMING_SNAKE_CASE_						:Union[str, Any]										=      sns.load_dataset(SCREAMING_SNAKE_CASE     )
		SCREAMING_SNAKE_CASE_						:Tuple										=      np.array(data[x_name]     )
		SCREAMING_SNAKE_CASE_						:Optional[int]										=      np.array(data[y_name]     )

		SCREAMING_SNAKE_CASE_						:str										=      np.ones(len(SCREAMING_SNAKE_CASE     )     )

		# pairing elements of one and x_data
		SCREAMING_SNAKE_CASE_						:Optional[int]										=      np.column_stack((one, x_data)     )

		return x_train, x_data, y_data







def  SCREAMING_SNAKE_CASE__ (				SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE ,		):
		SCREAMING_SNAKE_CASE_						:Tuple										=      np.sort(SCREAMING_SNAKE_CASE ,		axis=0     )
		plt.scatter(SCREAMING_SNAKE_CASE ,		SCREAMING_SNAKE_CASE ,		color='blue'     )
		plt.plot(
		    x_train_sorted[:, 1] ,		preds[x_train[:, 1].argsort(0     )] ,		color='yellow' ,		linewidth=5 ,		)
		plt.title('Local Weighted Regression'     )
		plt.xlabel(SCREAMING_SNAKE_CASE     )
		plt.ylabel(SCREAMING_SNAKE_CASE     )
		plt.show()


if __name__ == "__main__":
							import doctest

							doctest.testmod()

							# Demo with a dataset from the seaborn module
							SCREAMING_SNAKE_CASE__	,							SCREAMING_SNAKE_CASE__	,							SCREAMING_SNAKE_CASE__     : str				=   load_data("""tips""", """total_bill""", """tip""")
							SCREAMING_SNAKE_CASE__     : str				=   local_weight_regression(training_data_x, tip, 5)
							plot_preds(training_data_x, predictions, total_bill, tip, """total_bill""", """tip""")


"""simple docstring"""





def       __a	(						__lowerCamelCase,						__lowerCamelCase    ):
   if not isinstance(__lowerCamelCase,						__lowerCamelCase    ):
      raise TypeError("plaintext must be a string"    )
   if not isinstance(__lowerCamelCase,						__lowerCamelCase    ):
      raise TypeError("key must be a string"    )

   if not plaintext:
      raise ValueError("plaintext is empty"    )
   if not key:
      raise ValueError("key is empty"    )

   key += plaintext
   UpperCAmelCase_   :   Optional[int]     	=       plaintext.lower()
   UpperCAmelCase_   :   Any     	=       key.lower()
   UpperCAmelCase_   :   Optional[int]     	=       0
   UpperCAmelCase_   :   List[str]     	=       0
   UpperCAmelCase_   :   Optional[int]     	=       ""
   while plaintext_iterator < len(__lowerCamelCase    ):
      if (
          ord(plaintext[plaintext_iterator]    ) < 97
          or ord(plaintext[plaintext_iterator]    ) > 122
      ):
         ciphertext += plaintext[plaintext_iterator]
         plaintext_iterator += 1
      elif ord(key[key_iterator]    ) < 97 or ord(key[key_iterator]    ) > 122:
         key_iterator += 1
      else:
         ciphertext += chr(
             (
                 (ord(plaintext[plaintext_iterator]    ) - 97 + ord(key[key_iterator]    ))
                 - 97
             )
             % 26
             + 97    )
         key_iterator += 1
         plaintext_iterator += 1
   return ciphertext







def       __a	(						__lowerCamelCase,						__lowerCamelCase    ):
   if not isinstance(__lowerCamelCase,						__lowerCamelCase    ):
      raise TypeError("ciphertext must be a string"    )
   if not isinstance(__lowerCamelCase,						__lowerCamelCase    ):
      raise TypeError("key must be a string"    )

   if not ciphertext:
      raise ValueError("ciphertext is empty"    )
   if not key:
      raise ValueError("key is empty"    )

   UpperCAmelCase_   :   List[str]     	=       key.lower()
   UpperCAmelCase_   :   Tuple     	=       0
   UpperCAmelCase_   :   Optional[int]     	=       0
   UpperCAmelCase_   :   Dict     	=       ""
   while ciphertext_iterator < len(__lowerCamelCase    ):
      if (
          ord(ciphertext[ciphertext_iterator]    ) < 97
          or ord(ciphertext[ciphertext_iterator]    ) > 122
      ):
         plaintext += ciphertext[ciphertext_iterator]
      else:
         plaintext += chr(
             (ord(ciphertext[ciphertext_iterator]    ) - ord(key[key_iterator]    )) % 26
             + 97    )
         key += chr(
             (ord(ciphertext[ciphertext_iterator]    ) - ord(key[key_iterator]    )) % 26
             + 97    )
         key_iterator += 1
      ciphertext_iterator += 1
   return plaintext


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    _a									=				int(input('Type 1 to encrypt or 2 to decrypt:'))
    if operation == 1:
        _a									=				input('Typeplaintext to be encrypted:\n')
        _a									=				input('Type the key:\n')
        print(encrypt(plaintext, key))
    elif operation == 2:
        _a									=				input('Type the ciphertext to be decrypted:\n')
        _a									=				input('Type the key:\n')
        print(decrypt(ciphertext, key))
    decrypt('jsqqs avvwo', 'coffee')


