






class     _lowerCAmelCase:





							"""simple docstring"""







							def __init__( self  ,      _lowerCamelCase  ,      _lowerCamelCase							):
									UpperCamelCase_: List[str]   				=    name
									UpperCamelCase_: str   				=    val





							def __str__( self							):
									return f'''{self.__class__.__name__}({self.name}, {self.val})'''





							def __lt__( self  ,      _lowerCamelCase							):
									return self.val < other.val







class     _lowerCAmelCase:





							"""simple docstring"""







							def __init__( self  ,      _lowerCamelCase							):
									UpperCamelCase_: Optional[int]   				=    {}
									UpperCamelCase_: int   				=    {}
									UpperCamelCase_: Dict   				=    self.build_heap(_lowerCamelCase							)





							def __getitem__( self  ,      _lowerCamelCase							):
									return self.get_value(_lowerCamelCase							)





							def       _a   ( self  ,      _lowerCamelCase							):
									return (idx - 1) // 2





							def       _a   ( self  ,      _lowerCamelCase							):
									return idx * 2 + 1





							def       _a   ( self  ,      _lowerCamelCase							):
									return idx * 2 + 2





							def       _a   ( self  ,      _lowerCamelCase							):
									return self.heap_dict[key]





							def       _a   ( self  ,      _lowerCamelCase							):
									UpperCamelCase_: Optional[Any]   				=    len(_lowerCamelCase							) - 1
									UpperCamelCase_: str   				=    self.get_parent_idx(_lowerCamelCase							)

									for idx, i in enumerate(_lowerCamelCase							):
											UpperCamelCase_: Tuple   				=    idx
											UpperCamelCase_: Dict   				=    i.val

									for i in range(_lowerCamelCase  ,      -1  ,      -1							):
											self.sift_down(_lowerCamelCase  ,      _lowerCamelCase							)
									return array





							def       _a   ( self  ,      _lowerCamelCase  ,      _lowerCamelCase							):
									while True:
											UpperCamelCase_: Tuple   				=    self.get_left_child_idx(_lowerCamelCase							)  # noqa: E741
											UpperCamelCase_: Tuple   				=    self.get_right_child_idx(_lowerCamelCase							)

											UpperCamelCase_: Tuple   				=    idx
											if l < len(_lowerCamelCase							) and array[l] < array[idx]:
													UpperCamelCase_: int   				=    l
											if r < len(_lowerCamelCase							) and array[r] < array[smallest]:
													UpperCamelCase_: List[str]   				=    r

											if smallest != idx:
													UpperCamelCase_: Tuple   				=    array[smallest], array[idx]
													(
													    UpperCamelCase_
													): Tuple   				=    (
													    self.idx_of_element[array[smallest]],
													    self.idx_of_element[array[idx]],
													)
													UpperCamelCase_: Tuple   				=    smallest
											else:
													break





							def       _a   ( self  ,      _lowerCamelCase							):
									UpperCamelCase_: Union[str, Any]   				=    self.get_parent_idx(_lowerCamelCase							)
									while p >= 0 and self.heap[p] > self.heap[idx]:
											UpperCamelCase_: Optional[Any]   				=    self.heap[idx], self.heap[p]
											UpperCamelCase_: Optional[Any]   				=    (
											    self.idx_of_element[self.heap[idx]],
											    self.idx_of_element[self.heap[p]],
											)
											UpperCamelCase_: Union[str, Any]   				=    p
											UpperCamelCase_: Dict   				=    self.get_parent_idx(_lowerCamelCase							)





							def       _a   ( self							):
									return self.heap[0]





							def       _a   ( self							):
									UpperCamelCase_: Any   				=    self.heap[-1], self.heap[0]
									UpperCamelCase_: Optional[Any]   				=    (
									    self.idx_of_element[self.heap[-1]],
									    self.idx_of_element[self.heap[0]],
									)

									UpperCamelCase_: Optional[Any]   				=    self.heap.pop()
									del self.idx_of_element[x]
									self.sift_down(0  ,      self.heap							)
									return x





							def       _a   ( self  ,      _lowerCamelCase							):
									self.heap.append(_lowerCamelCase							)
									UpperCamelCase_: str   				=    len(self.heap							) - 1
									UpperCamelCase_: List[Any]   				=    node.val
									self.sift_up(len(self.heap							) - 1							)





							def       _a   ( self							):
									return len(self.heap							) == 0





							def       _a   ( self  ,      _lowerCamelCase  ,      _lowerCamelCase							):
									assert (
									    self.heap[self.idx_of_element[node]].val > new_value
									), "newValue must be less that current value"
									UpperCamelCase_: Union[str, Any]   				=    new_value
									UpperCamelCase_: Optional[Any]   				=    new_value
									self.sift_up(self.idx_of_element[node]							)







A_		:		Any		     =			Node('R', -1)
A_		:		Dict		     =			Node('B', 6)
A_		:		Optional[int]		     =			Node('A', 3)
A_		:		Union[str, Any]		     =			Node('X', 1)
A_		:		Optional[int]		     =			Node('E', 4)

# Use one of these two ways to generate Min-Heap

# Generating Min-Heap from array
A_		:		Optional[int]		     =			MinHeap([r, b, a, x, e])

# Generating Min-Heap by Insert method
# myMinHeap.insert(a)
# myMinHeap.insert(b)
# myMinHeap.insert(x)
# myMinHeap.insert(r)
# myMinHeap.insert(e)

# Before
print('Min Heap - before decrease key')
for i in my_min_heap.heap:
			print(i)

print('Min Heap - After decrease key of node [B -> -17]')
my_min_heap.decrease_key(b, -17)

# After
for i in my_min_heap.heap:
			print(i)

if __name__ == "__main__":
			import doctest

			doctest.testmod()







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

import numpy as np

def   snake_case (UpperCAmelCase__     ,   UpperCAmelCase__  )	->    np.array:
  UpperCamelCase_: Dict   				=    F'''{sampling_rate}'''
  UpperCamelCase_: Any   				=    '1'
  UpperCamelCase_: Any   				=    'f32le'
  UpperCamelCase_: Union[str, Any]   				=    [
      'ffmpeg',
      '-i',
      'pipe:0',
      '-ac',
      ac,
      '-ar',
      ar,
      '-f',
      format_for_conversion,
      '-hide_banner',
      '-loglevel',
      'quiet',
      'pipe:1',
  ]

  try:
    with subprocess.Popen(UpperCAmelCase__     ,   stdin=subprocess.PIPE     ,   stdout=subprocess.PIPE  ) as ffmpeg_process:
      UpperCamelCase_: Optional[Any]   				=    ffmpeg_process.communicate(UpperCAmelCase__  )
  except FileNotFoundError as error:
    raise ValueError('ffmpeg was not found but is required to load audio files from filename'  ) from error
  UpperCamelCase_: Union[str, Any]   				=    output_stream[0]
  UpperCamelCase_: List[str]   				=    np.frombuffer(UpperCAmelCase__     ,   np.floataa  )
  if audio.shape[0] == 0:
    raise ValueError('Malformed soundfile'  )
  return audio

def   snake_case (UpperCAmelCase__     ,   UpperCAmelCase__     ,   UpperCAmelCase__ = "f32le"     ,   )	->    Tuple:
  UpperCamelCase_: Any   				=    F'''{sampling_rate}'''
  UpperCamelCase_: Union[str, Any]   				=    '1'
  if format_for_conversion == "s16le":
    UpperCamelCase_: Optional[Any]   				=    2
  elif format_for_conversion == "f32le":
    UpperCamelCase_: Any   				=    4
  else:
    raise ValueError(F'''Unhandled format `{format_for_conversion}`. Please use `s16le` or `f32le`'''  )

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

  UpperCamelCase_: Any   				=    [
      'ffmpeg',
      '-f',
      format_,
      '-i',
      input_,
      '-ac',
      ac,
      '-ar',
      ar,
      '-f',
      format_for_conversion,
      '-fflags',
      'nobuffer',
      '-hide_banner',
      '-loglevel',
      'quiet',
      'pipe:1',
  ]
  UpperCamelCase_: Tuple   				=    int(round(sampling_rate * chunk_length_s  )  ) * size_of_sample
  UpperCamelCase_: Optional[int]   				=    _ffmpeg_stream(UpperCAmelCase__     ,   UpperCAmelCase__  )
  for item in iterator:
    yield item

def   snake_case (UpperCAmelCase__     ,   UpperCAmelCase__     ,   UpperCAmelCase__ = None     ,   UpperCAmelCase__ = None     ,   UpperCAmelCase__ = "f32le"     ,   )	->    Any:
  if stream_chunk_s is not None:
    UpperCamelCase_: List[Any]   				=    stream_chunk_s
  else:
    UpperCamelCase_: Dict   				=    chunk_length_s

  UpperCamelCase_: List[str]   				=    ffmpeg_microphone(UpperCAmelCase__     ,   UpperCAmelCase__     ,   format_for_conversion=UpperCAmelCase__  )
  if format_for_conversion == "s16le":
    UpperCamelCase_: Union[str, Any]   				=    np.intaa
    UpperCamelCase_: List[Any]   				=    2
  elif format_for_conversion == "f32le":
    UpperCamelCase_: str   				=    np.floataa
    UpperCamelCase_: Tuple   				=    4
  else:
    raise ValueError(F'''Unhandled format `{format_for_conversion}`. Please use `s16le` or `f32le`'''  )

  if stride_length_s is None:
    UpperCamelCase_: int   				=    chunk_length_s / 6
  UpperCamelCase_: Tuple   				=    int(round(sampling_rate * chunk_length_s  )  ) * size_of_sample
  if isinstance(UpperCAmelCase__     ,   (int, float)  ):
    UpperCamelCase_: Union[str, Any]   				=    [stride_length_s, stride_length_s]

  UpperCamelCase_: Any   				=    int(round(sampling_rate * stride_length_s[0]  )  ) * size_of_sample
  UpperCamelCase_: Dict   				=    int(round(sampling_rate * stride_length_s[1]  )  ) * size_of_sample
  UpperCamelCase_: Optional[int]   				=    datetime.datetime.now()
  UpperCamelCase_: Optional[int]   				=    datetime.timedelta(seconds=UpperCAmelCase__  )
  for item in chunk_bytes_iter(UpperCAmelCase__     ,   UpperCAmelCase__     ,   stride=(stride_left, stride_right)     ,   stream=UpperCAmelCase__  ):
    # Put everything back in numpy scale
    UpperCamelCase_: Tuple   				=    np.frombuffer(item['raw']     ,   dtype=UpperCAmelCase__  )
    UpperCamelCase_: Optional[int]   				=    (
        item['stride'][0] // size_of_sample,
        item['stride'][1] // size_of_sample,
    )
    UpperCamelCase_: int   				=    sampling_rate
    audio_time += delta
    if datetime.datetime.now() > audio_time + 1_0 * delta:
      # We're late !! SKIP
      continue
    yield item

def   snake_case (UpperCAmelCase__     ,   UpperCAmelCase__     ,   UpperCAmelCase__     ,   UpperCAmelCase__ = False  )	->    int:
  UpperCamelCase_: str   				=    b''
  UpperCamelCase_				,UpperCamelCase_: Union[str, Any]   				=    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}'''  )
  UpperCamelCase_: List[str]   				=    0
  for raw in iterator:
    acc += raw
    if stream and len(UpperCAmelCase__  ) < chunk_len:
      UpperCamelCase_: Optional[Any]   				=    (_stride_left, 0)
      yield {"raw": acc[:chunk_len], "stride": stride, "partial": True}
    else:
      while len(UpperCAmelCase__  ) >= chunk_len:
        # We are flushing the accumulator
        UpperCamelCase_: int   				=    (_stride_left, stride_right)
        UpperCamelCase_: Optional[Any]   				=    {'raw': acc[:chunk_len], 'stride': stride}
        if stream:
          UpperCamelCase_: Any   				=    False
        yield item
        UpperCamelCase_: Optional[int]   				=    stride_left
        UpperCamelCase_: Optional[Any]   				=    acc[chunk_len - stride_left - stride_right :]
    # Last chunk
  if len(UpperCAmelCase__  ) > stride_left:
    UpperCamelCase_: int   				=    {'raw': acc, 'stride': (_stride_left, 0)}
    if stream:
      UpperCamelCase_: Optional[Any]   				=    False
    yield item

def   snake_case (UpperCAmelCase__     ,   UpperCAmelCase__  )	->    int:
  UpperCamelCase_: Any   				=    2**2_4  # 16Mo
  try:
    with subprocess.Popen(UpperCAmelCase__     ,   stdout=subprocess.PIPE     ,   bufsize=UpperCAmelCase__  ) as ffmpeg_process:
      while True:
        UpperCamelCase_: Any   				=    ffmpeg_process.stdout.read(UpperCAmelCase__  )
        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