


"""simple docstring"""







from __future__ import annotations






class 				SCREAMING_SNAKE_CASE__    :
       """simple docstring"""


       def __init__(						self		,					snake_case__						):






         """simple docstring"""





         lowerCAmelCase					:					List[str]								=							order

         # a_{0} ... a_{k}
         lowerCAmelCase					:					Optional[int]								=							[1.0] + [0.0] * order
         # b_{0} ... b_{k}
         lowerCAmelCase					:					List[str]								=							[1.0] + [0.0] * order

         # x[n-1] ... x[n-k]
         lowerCAmelCase					:					str								=							[0.0] * self.order
         # y[n-1] ... y[n-k]
         lowerCAmelCase					:					List[str]								=							[0.0] * self.order

       def 	lowercase__							(						self		,					snake_case__		,					snake_case__						):






         """simple docstring"""





         if len(_lowerCAmelCase						) < self.order:
           lowerCAmelCase					:					Optional[Any]								=							[1.0, *a_coeffs]

         if len(_lowerCAmelCase						) != self.order + 1:
           lowerCAmelCase					:					Optional[Any]								=							(
               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:
           lowerCAmelCase					:					str								=							(
               f"""Expected b_coeffs to have {self.order + 1} elements """
               f"""for {self.order}-order filter, got {len(_lowerCAmelCase						)}"""
           )
           raise ValueError(_lowerCAmelCase						)

         lowerCAmelCase					:					Union[str, Any]								=							a_coeffs
         lowerCAmelCase					:					Optional[int]								=							b_coeffs







       def 	lowercase__							(						self		,					snake_case__						):






         """simple docstring"""





         lowerCAmelCase					:					Optional[Any]								=							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]
           )

         lowerCAmelCase					:					List[str]								=							(result + self.b_coeffs[0] * sample) / self.a_coeffs[0]

         lowerCAmelCase					:					Union[str, Any]								=							self.input_history[:-1]
         lowerCAmelCase					:					int								=							self.output_history[:-1]

         lowerCAmelCase					:					str								=							sample
         lowerCAmelCase					:					Dict								=							result

         return result









"""simple docstring"""







from typing import Any


class 				SCREAMING_SNAKE_CASE__    :
       """simple docstring"""


       def __init__(						self		,					snake_case__						):






         """simple docstring"""





         lowerCAmelCase					:					Optional[Any]								=							data
         lowerCAmelCase					:					Tuple								=							None


class 				SCREAMING_SNAKE_CASE__    :
       """simple docstring"""


       def __init__(						self						):






         """simple docstring"""





         lowerCAmelCase					:					Optional[int]								=							None

       def 	lowercase__							(						self						):






         """simple docstring"""





         lowerCAmelCase					:					Optional[Any]								=							self.head
         while temp is not None:
           print(temp.data		,					end=" "						)
           lowerCAmelCase					:					List[str]								=							temp.next
         print()

       def 	lowercase__							(						self		,					snake_case__						):






         """simple docstring"""





         lowerCAmelCase					:					int								=							Node(snake_case__						)
         lowerCAmelCase					:					Union[str, Any]								=							self.head
         lowerCAmelCase					:					Optional[Any]								=							new_node







       def 	lowercase__							(						self		,					snake_case__		,					snake_case__						):






         """simple docstring"""





         if node_data_a == node_data_a:
           return
         else:
           lowerCAmelCase					:					str								=							self.head
           while node_a is not None and node_a.data != node_data_a:
             lowerCAmelCase					:					Union[str, Any]								=							node_a.next

           lowerCAmelCase					:					Any								=							self.head
           while node_a is not None and node_a.data != node_data_a:
             lowerCAmelCase					:					List[Any]								=							node_a.next

           if node_a is None or node_a is None:
             return

           lowerCAmelCase						,  lowerCAmelCase					:					str								=							node_a.data, node_a.data


if __name__ == "__main__":
     lowerCAmelCase__				    =       LinkedList()
     for i in range(5, 0, -1):
          ll.push(i)

     ll.print_list()

     ll.swap_nodes(1, 4)
     print('''After swapping''')
     ll.print_list()





