






from __future__ import annotations



class 							SCREAMING_SNAKE_CASE__						:



					def __init__( self					:  Optional[int]							,		__A					:  int	):
						snake_case__			:				Union[str, Any]       =  order

						# a_{0} ... a_{k}
						snake_case__			:				Union[str, Any]       =  [1.0] + [0.0] * order
						# b_{0} ... b_{k}
						snake_case__			:				int       =  [1.0] + [0.0] * order

						# x[n-1] ... x[n-k]
						snake_case__			:				str       =  [0.0] * self.order
						# y[n-1] ... y[n-k]
						snake_case__			:				Optional[Any]       =  [0.0] * self.order



					def 	_lowercase					( self					:  Dict							,		__A					:  list[float]							,		__A					:  list[float]	):







						if len(_lowerCamelCase	) < self.order:
							snake_case__			:				Any       =  [1.0, *a_coeffs]

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

						snake_case__			:				Tuple       =  a_coeffs
						snake_case__			:				str       =  b_coeffs






					def 	_lowercase					( self					:  Tuple							,		__A					:  float	):
						snake_case__			:				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]
							)

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

						snake_case__			:				Optional[Any]       =  self.input_history[:-1]
						snake_case__			:				List[str]       =  self.output_history[:-1]

						snake_case__			:				Tuple       =  sample
						snake_case__			:				Tuple       =  result

						return result











__lowerCamelCase :      Optional[int]										=				"""Tobias Carryer"""

from time import time



class 							SCREAMING_SNAKE_CASE__						:





					"""simple docstring"""






					def __init__( self					:  List[Any]							,		__A					:  List[Any]							,		__A					:  Optional[int]							,		__A					:  List[str]							,		__A					:  Dict=int(time()	)	):  # noqa: B008
						snake_case__			:				List[Any]       =  multiplier
						snake_case__			:				Optional[int]       =  increment
						snake_case__			:				Optional[int]       =  modulo
						snake_case__			:				Union[str, Any]       =  seed






					def 	_lowercase					( self					:  str	):
						snake_case__			:				Union[str, Any]       =  (self.multiplier * self.seed + self.increment) % self.modulo
						return self.seed


if __name__ == "__main__":
	# Show the LCG in action.
	__lowerCamelCase :      int										=				LinearCongruentialGenerator(166_4525, 10_1390_4223, 2 << 31)
	while True:
		print(lcg.next_number())



