import datetime
import platform
import subprocess
from typing import Optional, Tuple, Union

import numpy as np
def  UpperCamelCase__						(				A__			, A__    )   ->					np.array:
				snake_case__					:	Optional[int]												=      F"""{sampling_rate}"""
				snake_case__					:	Any												=      '1'
				snake_case__					:	Optional[int]												=      'f32le'
				snake_case__					:	Any												=      [
				    'ffmpeg',
				    '-i',
				    'pipe:0',
				    '-ac',
				    ac,
				    '-ar',
				    ar,
				    '-f',
				    format_for_conversion,
				    '-hide_banner',
				    '-loglevel',
				    'quiet',
				    'pipe:1',
				]

				try:
								with subprocess.Popen(lowerCAmelCase_			, stdin=subprocess.PIPE			, stdout=subprocess.PIPE    ) as ffmpeg_process:
												snake_case__					:	int												=      ffmpeg_process.communicate(lowerCAmelCase_    )
				except FileNotFoundError as error:
								raise ValueError('ffmpeg was not found but is required to load audio files from filename'    ) from error
				snake_case__					:	int												=      output_stream[0]
				snake_case__					:	List[str]												=      np.frombuffer(lowerCAmelCase_			, np.floataa    )
				if audio.shape[0] == 0:
								raise ValueError('Malformed soundfile'    )
				return audio
def  UpperCamelCase__						(				A__			, A__			, A__ = "f32le"			, )   ->					Union[str, Any]:
				snake_case__					:	List[str]												=      F"""{sampling_rate}"""
				snake_case__					:	List[str]												=      '1'
				if format_for_conversion == "s16le":
								snake_case__					:	List[Any]												=      2
				elif format_for_conversion == "f32le":
								snake_case__					:	Dict												=      4
				else:
								raise ValueError(F"""Unhandled format `{format_for_conversion}`. Please use `s16le` or `f32le`"""    )

				snake_case__					:	Any												=      platform.system()
				if system == "Linux":
								snake_case__					:	Union[str, Any]												=      'alsa'
								snake_case__					:	Union[str, Any]												=      'default'
				elif system == "Darwin":
								snake_case__					:	Any												=      'avfoundation'
								snake_case__					:	Optional[int]												=      ':0'
				elif system == "Windows":
								snake_case__					:	str												=      'dshow'
								snake_case__					:	Tuple												=      'default'

				snake_case__					:	str												=      [
				    'ffmpeg',
				    '-f',
				    format_,
				    '-i',
				    input_,
				    '-ac',
				    ac,
				    '-ar',
				    ar,
				    '-f',
				    format_for_conversion,
				    '-fflags',
				    'nobuffer',
				    '-hide_banner',
				    '-loglevel',
				    'quiet',
				    'pipe:1',
				]
				snake_case__					:	Any												=      int(round(sampling_rate * chunk_length_s    )    ) * size_of_sample
				snake_case__					:	Union[str, Any]												=      _ffmpeg_stream(lowerCAmelCase_			, lowerCAmelCase_    )
				for item in iterator:
								yield item
def  UpperCamelCase__						(				A__			, A__			, A__ = None			, A__ = None			, A__ = "f32le"			, )   ->					str:
				if stream_chunk_s is not None:
								snake_case__					:	str												=      stream_chunk_s
				else:
								snake_case__					:	List[str]												=      chunk_length_s

				snake_case__					:	int												=      ffmpeg_microphone(lowerCAmelCase_			, lowerCAmelCase_			, format_for_conversion=lowerCAmelCase_    )
				if format_for_conversion == "s16le":
								snake_case__					:	Optional[Any]												=      np.intaa
								snake_case__					:	List[Any]												=      2
				elif format_for_conversion == "f32le":
								snake_case__					:	Tuple												=      np.floataa
								snake_case__					:	Any												=      4
				else:
								raise ValueError(F"""Unhandled format `{format_for_conversion}`. Please use `s16le` or `f32le`"""    )

				if stride_length_s is None:
								snake_case__					:	str												=      chunk_length_s / 6
				snake_case__					:	Any												=      int(round(sampling_rate * chunk_length_s    )    ) * size_of_sample
				if isinstance(lowerCAmelCase_			, (int, float)    ):
								snake_case__					:	List[str]												=      [stride_length_s, stride_length_s]

				snake_case__					:	str												=      int(round(sampling_rate * stride_length_s[0]    )    ) * size_of_sample
				snake_case__					:	List[str]												=      int(round(sampling_rate * stride_length_s[1]    )    ) * size_of_sample
				snake_case__					:	Any												=      datetime.datetime.now()
				snake_case__					:	Dict												=      datetime.timedelta(seconds=lowerCAmelCase_    )
				for item in chunk_bytes_iter(lowerCAmelCase_			, lowerCAmelCase_			, stride=(stride_left, stride_right)			, stream=lowerCAmelCase_    ):
								# Put everything back in numpy scale
								snake_case__					:	List[Any]												=      np.frombuffer(item['raw']			, dtype=lowerCAmelCase_    )
								snake_case__					:	List[str]												=      (
								    item['stride'][0] // size_of_sample,
								    item['stride'][1] // size_of_sample,
								)
								snake_case__					:	Union[str, Any]												=      sampling_rate
								audio_time += delta
								if datetime.datetime.now() > audio_time + 10 * delta:
												# We're late !! SKIP
												continue
								yield item
def  UpperCamelCase__						(				A__			, A__			, A__			, A__ = False    )   ->					List[Any]:
				snake_case__					:	Tuple												=      B''
				snake_case__					:	str												=      stride
				if stride_left + stride_right >= chunk_len:
								raise ValueError(
								    F"""Stride needs to be strictly smaller than chunk_len: ({stride_left}, {stride_right}) vs {chunk_len}"""    )
				snake_case__					:	Optional[int]												=      0
				for raw in iterator:
								acc += raw
								if stream and len(lowerCAmelCase_    ) < chunk_len:
												snake_case__					:	str												=      (_stride_left, 0)
												yield {"raw": acc[:chunk_len], "stride": stride, "partial": True}
								else:
												while len(lowerCAmelCase_    ) >= chunk_len:
																# We are flushing the accumulator
																snake_case__					:	Union[str, Any]												=      (_stride_left, stride_right)
																snake_case__					:	Dict												=      {'raw': acc[:chunk_len], 'stride': stride}
																if stream:
																				snake_case__					:	List[str]												=      False
																yield item
																snake_case__					:	int												=      stride_left
																snake_case__					:	List[Any]												=      acc[chunk_len - stride_left - stride_right :]
    # Last chunk
				if len(lowerCAmelCase_    ) > stride_left:
								snake_case__					:	str												=      {'raw': acc, 'stride': (_stride_left, 0)}
								if stream:
												snake_case__					:	str												=      False
								yield item

def  UpperCamelCase__						(				A__			, A__    )   ->					Tuple:
				snake_case__					:	Optional[Any]												=      2**24  # 16Mo
				try:
								with subprocess.Popen(lowerCAmelCase_			, stdout=subprocess.PIPE			, bufsize=lowerCAmelCase_    ) as ffmpeg_process:
												while True:
																snake_case__					:	Any												=      ffmpeg_process.stdout.read(lowerCAmelCase_    )
																if raw == b"":
																				break
																yield raw
				except FileNotFoundError as error:
								raise ValueError('ffmpeg was not found but is required to stream audio files from filename'    ) from error







'''simple docstring'''

import math



def      __lowerCamelCase     (      lowerCAmelCase_  )			->      bool:
		_a     :      Optional[int]        =							math.loga(math.sqrt(4 * positive_integer + 1  ) / 2 + 1 / 2  )

		return exponent == int(lowerCAmelCase_  )



def      __lowerCamelCase     (      lowerCAmelCase_ = 1 / 12345  )			->      int:
		_a     :      int        =							0
		_a     :      Optional[Any]        =							0

		_a     :      int        =							3
		while True:
				_a     :      Tuple        =							(integer**2 - 1) / 4
				# if candidate is an integer, then there is a partition for k
				if partition_candidate == int(lowerCAmelCase_  ):
						_a     :      Union[str, Any]        =							int(lowerCAmelCase_  )
						total_partitions += 1
						if check_partition_perfect(lowerCAmelCase_  ):
								perfect_partitions += 1
				if perfect_partitions > 0:
						if perfect_partitions / total_partitions < max_proportion:
								return int(lowerCAmelCase_  )
				integer += 1


if __name__ == "__main__":
							print(f"""{solution() = }""")




