


from __future__ import annotations







class 						_snake_case    :




 def __init__(						self   ,    _lowerCamelCase       ):
       a		:str									=			order

       # a_{0} ... a_{k}
       a		:List[Any]									=			[1.0] + [0.0] * order
       # b_{0} ... b_{k}
       a		:Any									=			[1.0] + [0.0] * order

       # x[n-1] ... x[n-k]
       a		:Optional[int]									=			[0.0] * self.order
       # y[n-1] ... y[n-k]
       a		:int									=			[0.0] * self.order




 def 			SCREAMING_SNAKE_CASE__							(						self   ,    _lowerCamelCase   ,    _lowerCamelCase       ):
       if len(_lowerCamelCase       ) < self.order:
             a		:Tuple									=			[1.0, *a_coeffs]

       if len(_lowerCamelCase       ) != self.order + 1:
             a		: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:
             a		:List[str]									=			(
                 F'''Expected b_coeffs to have {self.order + 1} elements '''
                 F'''for {self.order}-order filter, got {len(_lowerCamelCase       )}'''
             )
             raise ValueError(_lowerCamelCase       )

       a		:List[Any]									=			a_coeffs
       a		:str									=			b_coeffs




 def 			SCREAMING_SNAKE_CASE__							(						self   ,    _lowerCamelCase       ):
       a		:int									=			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]
             )

       a		:Union[str, Any]									=			(result + self.b_coeffs[0] * sample) / self.a_coeffs[0]

       a		:List[Any]									=			self.input_history[:-1]
       a		:Any									=			self.output_history[:-1]

       a		:Optional[int]									=			sample
       a		:Optional[Any]									=			result

       return result









from __future__ import annotations

from typing import Any







class 						_snake_case    ( _snake_case				):
 pass







class 						_snake_case    :




 def __init__(						self   ,    _lowerCamelCase       ):
       a		:Any									=			data
       a		:Node | None									=			None




 def __iter__(						self       ):
       a		:Dict									=			self
       a		:Optional[int]									=			[]
       while node:
             if node in visited:
                   raise ContainsLoopError
             visited.append(_lowerCamelCase       )
             yield node.data
             a		:str									=			node.next_node




 @property
 def 			SCREAMING_SNAKE_CASE__							(						self       ):
       try:
             list(self       )
             return False
       except ContainsLoopError:
             return True


if __name__ == "__main__":
     snake_case							:       int										=	Node(1)
     snake_case							:       int										=	Node(2)
     snake_case							:       Optional[int]										=	Node(3)
     snake_case							:       List[str]										=	Node(4)
     print(root_node.has_loop)  # False
     snake_case							:       Optional[Any]										=	root_node.next_node
     print(root_node.has_loop)  # True

     snake_case							:       Dict										=	Node(5)
     snake_case							:       List[Any]										=	Node(6)
     snake_case							:       Optional[int]										=	Node(5)
     snake_case							:       Union[str, Any]										=	Node(6)
     print(root_node.has_loop)  # False

     snake_case							:       Tuple										=	Node(1)
     print(root_node.has_loop)  # False





