





from __future__ import annotations

class 		UpperCamelCase__ :



     '''simple docstring'''

     def __init__(							self						:    Any						,lowerCamelCase__						:    int       )     ->		None:




           '''simple docstring'''


           SCREAMING_SNAKE_CASE		=						order

           # a_{0} ... a_{k}
           SCREAMING_SNAKE_CASE		=						[1.0] + [0.0] * order
           # b_{0} ... b_{k}
           SCREAMING_SNAKE_CASE		=						[1.0] + [0.0] * order

           # x[n-1] ... x[n-k]
           SCREAMING_SNAKE_CASE		=						[0.0] * self.order
           # y[n-1] ... y[n-k]
           SCREAMING_SNAKE_CASE		=						[0.0] * self.order






     def 				SCREAMING_SNAKE_CASE__  (							self						:    str						,lowerCamelCase__						:    list[float]						,lowerCamelCase__						:    list[float]       )     ->		None:




           '''simple docstring'''


           if len(lowerCamelCase__       ) < self.order:
                 SCREAMING_SNAKE_CASE		=						[1.0, *a_coeffs]

           if len(lowerCamelCase__       ) != self.order + 1:
                 SCREAMING_SNAKE_CASE		=						(
                     F"""Expected a_coeffs to have {self.order + 1} elements """
                     F"""for {self.order}-order filter, got {len(lowerCamelCase__       )}"""
                 )
                 raise ValueError(lowerCamelCase__       )

           if len(lowerCamelCase__       ) != self.order + 1:
                 SCREAMING_SNAKE_CASE		=						(
                     F"""Expected b_coeffs to have {self.order + 1} elements """
                     F"""for {self.order}-order filter, got {len(lowerCamelCase__       )}"""
                 )
                 raise ValueError(lowerCamelCase__       )

           SCREAMING_SNAKE_CASE		=						a_coeffs
           SCREAMING_SNAKE_CASE		=						b_coeffs






     def 				SCREAMING_SNAKE_CASE__  (							self						:    Any						,lowerCamelCase__						:    float       )     ->		float:




           '''simple docstring'''


           SCREAMING_SNAKE_CASE		=						0.0

           # Start at index 1 and do index 0 at the end.
           for i in range(1						,self.order + 1       ):
                 result += (
                     self.b_coeffs[i] * self.input_history[i - 1]
                     - self.a_coeffs[i] * self.output_history[i - 1]
                 )

           SCREAMING_SNAKE_CASE		=						(result + self.b_coeffs[0] * sample) / self.a_coeffs[0]

           SCREAMING_SNAKE_CASE		=						self.input_history[:-1]
           SCREAMING_SNAKE_CASE		=						self.output_history[:-1]

           SCREAMING_SNAKE_CASE		=						sample
           SCREAMING_SNAKE_CASE		=						result

           return result









import random

class 		UpperCamelCase__ :



     '''simple docstring'''

     @staticmethod
     def 				SCREAMING_SNAKE_CASE__  (							lowerCamelCase__						:    str       )     ->		tuple[list[int], list[int]]:




           '''simple docstring'''


           SCREAMING_SNAKE_CASE		=						[ord(lowerCamelCase__       ) for i in text]
           SCREAMING_SNAKE_CASE		=						[]
           SCREAMING_SNAKE_CASE		=						[]
           for i in plain:
                 SCREAMING_SNAKE_CASE		=						random.randint(1						,300       )
                 SCREAMING_SNAKE_CASE		=						(i + k) * k
                 cipher.append(lowerCamelCase__       )
                 key.append(lowerCamelCase__       )
           return cipher, key






     @staticmethod
     def 				SCREAMING_SNAKE_CASE__  (							lowerCamelCase__						:    list[int]						,lowerCamelCase__						:    list[int]       )     ->		str:




           '''simple docstring'''


           SCREAMING_SNAKE_CASE		=						[]
           for i in range(len(lowerCamelCase__       )       ):
                 SCREAMING_SNAKE_CASE		=						int((cipher[i] - (key[i]) ** 2) / key[i]       )
                 plain.append(chr(lowerCamelCase__       )       )
           return "".join(lowerCamelCase__       )


if __name__ == "__main__":
      SCREAMING_SNAKE_CASE_   ,						SCREAMING_SNAKE_CASE_						   =       Onepad().encrypt("""Hello""")
      print(c, k)
      print(Onepad().decrypt(c, k))


