




'''simple docstring'''






# This code is adapted from OpenAI's release
# https://github.com/openai/human-eval/blob/master/human_eval/execution.py

import contextlib
import faulthandler
import io
import multiprocessing
import os
import platform
import signal
import tempfile


def  _snake_case       (					A			,   A			,   A			,   A	)						->   str:
							lowerCAmelCase__	       =     multiprocessing.Manager()
							lowerCAmelCase__	       =     manager.list()

							lowerCAmelCase__	       =     multiprocessing.Process(target=lowerCamelCase_			,   args=(check_program, result, timeout)	)
							p.start()
							p.join(timeout=timeout + 1	)
							if p.is_alive():
														p.kill()

							if not result:
														result.append('''timed out'''	)

							return {
							    "task_id": task_id,
							    "passed": result[0] == "passed",
							    "result": result[0],
							    "completion_id": completion_id,
							}


def  _snake_case       (					A			,   A			,   A	)						->   str:
							with create_tempdir():
														# These system calls are needed when cleaning up tempdir.
														import os
														import shutil

														lowerCAmelCase__	       =     shutil.rmtree
														lowerCAmelCase__	       =     os.rmdir
														lowerCAmelCase__	       =     os.chdir

														# Disable functionalities that can make destructive changes to the test.
														reliability_guard()

														# Run program.
														try:
																					lowerCAmelCase__	       =     {}
																					with swallow_io():
																												with time_limit(lowerCamelCase_	):
																																			exec(lowerCamelCase_			,   lowerCamelCase_	)
																					result.append('''passed'''	)
														except TimeoutException:
																					result.append('''timed out'''	)
														except BaseException as e:
																					result.append(F"""failed: {e}"""	)

														# Needed for cleaning up.
														lowerCAmelCase__	       =     rmtree
														lowerCAmelCase__	       =     rmdir
														lowerCAmelCase__	       =     chdir


@contextlib.contextmanager
def  _snake_case       (					A	)						->   str:
							def signal_handler(A			,   A	):
														raise TimeoutException('''Timed out!'''	)

							signal.setitimer(signal.ITIMER_REAL			,   lowerCamelCase_	)
							signal.signal(signal.SIGALRM			,   lowerCamelCase_	)
							try:
														yield
							finally:
														signal.setitimer(signal.ITIMER_REAL			,   0	)


@contextlib.contextmanager
def  _snake_case       (					)						->   int:
							lowerCAmelCase__	       =     WriteOnlyStringIO()
							with contextlib.redirect_stdout(lowerCamelCase_	):
														with contextlib.redirect_stderr(lowerCamelCase_	):
																					with redirect_stdin(lowerCamelCase_	):
																												yield


@contextlib.contextmanager
def  _snake_case       (					)						->   int:
							with tempfile.TemporaryDirectory() as dirname:
														with chdir(lowerCamelCase_	):
																					yield dirname




class 		a__    (							_a  ):





							'''simple docstring'''






							pass




class 		a__    (							io.StringIO  ):





							'''simple docstring'''






							def   __SCREAMING_SNAKE_CASE							(		self ,   *lowerCamelCase_ ,   **lowerCamelCase_       )	->							Tuple:
														raise OSError







							def   __SCREAMING_SNAKE_CASE							(		self ,   *lowerCamelCase_ ,   **lowerCamelCase_       )	->							str:
														raise OSError







							def   __SCREAMING_SNAKE_CASE							(		self ,   *lowerCamelCase_ ,   **lowerCamelCase_       )	->							str:
														raise OSError







							def   __SCREAMING_SNAKE_CASE							(		self ,   *lowerCamelCase_ ,   **lowerCamelCase_       )	->							Optional[int]:
														return False




class 		a__    (							contextlib._RedirectStream  ):  # type: ignore





							'''simple docstring'''






							lowercase__      :       List[Any]     						=				"""stdin"""


@contextlib.contextmanager
def  _snake_case       (					A	)						->   Optional[int]:
							if root == ".":
														yield
														return
							lowerCAmelCase__	       =     os.getcwd()
							os.chdir(lowerCamelCase_	)
							try:
														yield
							except BaseException as exc:
														raise exc
							finally:
														os.chdir(lowerCamelCase_	)






def  _snake_case       (					A=None	)						->   int:

							if maximum_memory_bytes is not None:
														import resource

														resource.setrlimit(resource.RLIMIT_AS			,   (maximum_memory_bytes, maximum_memory_bytes)	)
														resource.setrlimit(resource.RLIMIT_DATA			,   (maximum_memory_bytes, maximum_memory_bytes)	)
														if not platform.uname().system == "Darwin":
																					resource.setrlimit(resource.RLIMIT_STACK			,   (maximum_memory_bytes, maximum_memory_bytes)	)

							faulthandler.disable()

							import builtins

							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None

							import os

							lowerCAmelCase__	       =     '1'

							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None

							import shutil

							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None

							import subprocess

							lowerCAmelCase__	       =     None  # type: ignore

							lowerCAmelCase__	       =     None

							import sys

							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None
							lowerCAmelCase__	       =     None



'''simple docstring'''






from __future__ import annotations




class 		a__    :





							'''simple docstring'''






							def __init__(		self ,   lowerCamelCase_       )	->							None:
														lowerCAmelCase__	       =     order

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

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







							def   __SCREAMING_SNAKE_CASE							(		self ,   lowerCamelCase_ ,   lowerCamelCase_       )	->							None:
														if len(lowerCamelCase_       ) < self.order:
																					lowerCAmelCase__	       =     [1.0, *a_coeffs]

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

														lowerCAmelCase__	       =     a_coeffs
														lowerCAmelCase__	       =     b_coeffs







							def   __SCREAMING_SNAKE_CASE							(		self ,   lowerCamelCase_       )	->							float:
														lowerCAmelCase__	       =     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__	       =     (result + self.b_coeffs[0] * sample) / self.a_coeffs[0]

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

														lowerCAmelCase__	       =     sample
														lowerCAmelCase__	       =     result

														return result