






"""simple docstring"""


import numpy as np  # noqa: E402

from ...configuration_utils import ConfigMixin, register_to_config
from ...schedulers.scheduling_utils import SchedulerMixin


try:
   import librosa  # noqa: E402

   _UpperCamelCase				:    Optional[int]     =						True
   _UpperCamelCase				:    List[str]     =						''
except Exception as e:
   _UpperCamelCase				:    Any     =						False
   _UpperCamelCase				:    Dict     =						(
       f'''Cannot import librosa because {e}. Make sure to correctly install librosa to be able to install it.'''
   )


from PIL import Image  # noqa: E402






class 						snake_case  (  snake_case__   , snake_case__       ):
    __magic_name__         =     "mel_config.json"





    @register_to_config
    def __init__(							self	:					Optional[int]				,		A	:					int = 2_5_6				,		A	:					int = 2_5_6				,		A	:					int = 2_2_0_5_0				,		A	:					int = 2_0_4_8				,		A	:					int = 5_1_2				,		A	:					int = 8_0				,		A	:					int = 3_2				,		):


      '''simple docstring'''




      a     :			Union[str, Any]				=   hop_length
      a     :			int				=   sample_rate
      a     :			Union[str, Any]				=   n_fft
      a     :			List[Any]				=   top_db
      a     :			Optional[Any]				=   n_iter
      self.set_resolution(__UpperCAmelCase				,		__UpperCAmelCase			)
      a     :			Any				=   None

      if not _librosa_can_be_imported:
        raise ValueError(_import_error			)





    def 				lowerCamelCase__      (							self	:					Optional[int]				,		A	:					int				,		A	:					int			):


      '''simple docstring'''




      a     :			List[str]				=   x_res
      a     :			List[Any]				=   y_res
      a     :			Optional[Any]				=   self.y_res
      a     :			Union[str, Any]				=   self.x_res * self.hop_length - 1





    def 				lowerCamelCase__      (							self	:					Union[str, Any]				,		A	:					str = None				,		A	:					np.ndarray = None			):


      '''simple docstring'''




      if audio_file is not None:
        a,     a     :			Tuple				=   librosa.load(__UpperCAmelCase				,		mono=__UpperCAmelCase				,		sr=self.sr			)
      else:
        a     :			int				=   raw_audio

      # Pad with silence if necessary.
      if len(self.audio			) < self.x_res * self.hop_length:
        a     :			Any				=   np.concatenate([self.audio, np.zeros((self.x_res * self.hop_length - len(self.audio			),)			)]			)





    def 				lowerCamelCase__      (							self	:					Union[str, Any]			):


      '''simple docstring'''




      return len(self.audio			) // self.slice_size





    def 				lowerCamelCase__      (							self	:					str				,		A	:					int = 0			):


      '''simple docstring'''




      return self.audio[self.slice_size * slice : self.slice_size * (slice + 1)]





    def 				lowerCamelCase__      (							self	:					Optional[Any]			):


      '''simple docstring'''




      return self.sr





    def 				lowerCamelCase__      (							self	:					List[str]				,		A	:					int			):


      '''simple docstring'''




      a     :			Dict				=   librosa.feature.melspectrogram(
          y=self.get_audio_slice(__UpperCAmelCase			)				,		sr=self.sr				,		n_fft=self.n_fft				,		hop_length=self.hop_length				,		n_mels=self.n_mels			)
      a     :			List[Any]				=   librosa.power_to_db(__UpperCAmelCase				,		ref=np.max				,		top_db=self.top_db			)
      a     :			List[Any]				=   (((log_S + self.top_db) * 2_5_5 / self.top_db).clip(0				,		2_5_5			) + 0.5).astype(np.uinta			)
      a     :			Optional[Any]				=   Image.fromarray(__UpperCAmelCase			)
      return image





    def 				lowerCamelCase__      (							self	:					Optional[Any]				,		A	:					Image.Image			):


      '''simple docstring'''




      a     :			Dict				=   np.frombuffer(image.tobytes()				,		dtype='uint8'			).reshape((image.height, image.width)			)
      a     :			int				=   bytedata.astype('float'			) * self.top_db / 2_5_5 - self.top_db
      a     :			int				=   librosa.db_to_power(__UpperCAmelCase			)
      a     :			List[Any]				=   librosa.feature.inverse.mel_to_audio(
          __UpperCAmelCase				,		sr=self.sr				,		n_fft=self.n_fft				,		hop_length=self.hop_length				,		n_iter=self.n_iter			)
      return audio









from __future__ import annotations

import random

# Adjacency list representation of this graph:
# https://en.wikipedia.org/wiki/File:Single_run_of_Karger%E2%80%99s_Mincut_algorithm.svg
__A				    =						{
    '''1''': ['''2''', '''3''', '''4''', '''5'''],
    '''2''': ['''1''', '''3''', '''4''', '''5'''],
    '''3''': ['''1''', '''2''', '''4''', '''5''', '''10'''],
    '''4''': ['''1''', '''2''', '''3''', '''5''', '''6'''],
    '''5''': ['''1''', '''2''', '''3''', '''4''', '''7'''],
    '''6''': ['''7''', '''8''', '''9''', '''10''', '''4'''],
    '''7''': ['''6''', '''8''', '''9''', '''10''', '''5'''],
    '''8''': ['''6''', '''7''', '''9''', '''10'''],
    '''9''': ['''6''', '''7''', '''8''', '''10'''],
    '''10''': ['''6''', '''7''', '''8''', '''9''', '''3'''],
}



def        __a     (    lowerCAmelCase_   :					dict[str, list[str]]				)      -> set[tuple[str, str]]:






						'''simple docstring'''



						UpperCAmelCase_=   {node: {node} for node in graph}

						UpperCAmelCase_=   {node: graph[node][:] for node in graph}

						while len(lowerCAmelCase_				) > 2:
												# Choose a random edge.
												UpperCAmelCase_=   random.choice(list(graph_copy.keys()				)				)
												UpperCAmelCase_=   random.choice(graph_copy[u]				)

												# Contract edge (u, v) to new node uv
												UpperCAmelCase_=   u + v
												UpperCAmelCase_=   list(set(graph_copy[u] + graph_copy[v]				)				)
												uv_neighbors.remove(lowerCAmelCase_				)
												uv_neighbors.remove(lowerCAmelCase_				)
												UpperCAmelCase_=   uv_neighbors
												for neighbor in uv_neighbors:
																		graph_copy[neighbor].append(lowerCAmelCase_				)

												UpperCAmelCase_=   set(contracted_nodes[u].union(contracted_nodes[v]				)				)

												# Remove nodes u and v.
												del graph_copy[u]
												del graph_copy[v]
												for neighbor in uv_neighbors:
																		if u in graph_copy[neighbor]:
																								graph_copy[neighbor].remove(lowerCAmelCase_				)
																		if v in graph_copy[neighbor]:
																								graph_copy[neighbor].remove(lowerCAmelCase_				)

    # Find cutset.
						UpperCAmelCase_=   [contracted_nodes[node] for node in graph_copy]
						return {
						    (node, neighbor)
						    for node in groups[0]
						    for neighbor in graph[node]
						    if neighbor in groups[1]
						}


if __name__ == "__main__":
	print(partition_graph(TEST_GRAPH))




