






import heapq as hq
import math
from collections.abc import Iterator

class 		_snake_case	:






			def __init__(							self		,       a)   ->							Optional[Any]:
						SCREAMING_SNAKE_CASE							=			str(id_)
						SCREAMING_SNAKE_CASE							=			None
						SCREAMING_SNAKE_CASE							=			None
						SCREAMING_SNAKE_CASE							=			[]
						SCREAMING_SNAKE_CASE							=			{}  # {vertex:distance}






			def __lt__(							self		,       a)   ->							Dict:
						return self.key < other.key






			def __repr__(							self)   ->							Optional[Any]:
						return self.id






			def  SCREAMING_SNAKE_CASE__     (							self		,       a)   ->							Optional[Any]:
						self.neighbors.append(a)







			def  SCREAMING_SNAKE_CASE__     (							self		,       a		,       a)   ->							Tuple:
						SCREAMING_SNAKE_CASE							=			weight






def 					lowerCamelCase__					(_UpperCAmelCase				,							_UpperCAmelCase				,							_UpperCAmelCase				,							_UpperCAmelCase):
			# add the neighbors:
			graph[a - 1].add_neighbor(graph[b - 1])
			graph[b - 1].add_neighbor(graph[a - 1])
			# add the edges:
			graph[a - 1].add_edge(graph[b - 1]				,							_UpperCAmelCase)
			graph[b - 1].add_edge(graph[a - 1]				,							_UpperCAmelCase)






def 					lowerCamelCase__					(_UpperCAmelCase				,							_UpperCAmelCase):
			SCREAMING_SNAKE_CASE							=			[]
			for u in graph:
						SCREAMING_SNAKE_CASE							=			math.inf
						SCREAMING_SNAKE_CASE							=			None
			SCREAMING_SNAKE_CASE							=			0
			SCREAMING_SNAKE_CASE							=			graph[:]
			while q:
						SCREAMING_SNAKE_CASE							=			min(_UpperCAmelCase)
						q.remove(_UpperCAmelCase)
						for v in u.neighbors:
									if (v in q) and (u.edges[v.id] < v.key):
												SCREAMING_SNAKE_CASE							=			u
												SCREAMING_SNAKE_CASE							=			u.edges[v.id]
			for i in range(1				,							len(_UpperCAmelCase)):
						a.append((int(graph[i].id) + 1, int(graph[i].pi.id) + 1))
			return a






def 					lowerCamelCase__					(_UpperCAmelCase				,							_UpperCAmelCase):
			for u in graph:
						SCREAMING_SNAKE_CASE							=			math.inf
						SCREAMING_SNAKE_CASE							=			None
			SCREAMING_SNAKE_CASE							=			0

			SCREAMING_SNAKE_CASE							=			list(_UpperCAmelCase)
			hq.heapify(_UpperCAmelCase)

			while h:
						SCREAMING_SNAKE_CASE							=			hq.heappop(_UpperCAmelCase)
						for v in u.neighbors:
									if (v in h) and (u.edges[v.id] < v.key):
												SCREAMING_SNAKE_CASE							=			u
												SCREAMING_SNAKE_CASE							=			u.edges[v.id]
												hq.heapify(_UpperCAmelCase)

			for i in range(1				,							len(_UpperCAmelCase)):
						yield (int(graph[i].id) + 1, int(graph[i].pi.id) + 1)






def 					lowerCamelCase__					():
			pass


if __name__ == "__main__":
				import doctest

				doctest.testmod()










from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_torch_available,
)


__a							     =					{
    'configuration_encodec': [
        'ENCODEC_PRETRAINED_CONFIG_ARCHIVE_MAP',
        'EncodecConfig',
    ],
    'feature_extraction_encodec': ['EncodecFeatureExtractor'],
}

try:
     if not is_torch_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     __a							     =					[
         'ENCODEC_PRETRAINED_MODEL_ARCHIVE_LIST',
         'EncodecModel',
         'EncodecPreTrainedModel',
     ]

if TYPE_CHECKING:
     from .configuration_encodec import (
         ENCODEC_PRETRAINED_CONFIG_ARCHIVE_MAP,
         EncodecConfig,
     )
     from .feature_extraction_encodec import EncodecFeatureExtractor

     try:
          if not is_torch_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .modeling_encodec import (
              ENCODEC_PRETRAINED_MODEL_ARCHIVE_LIST,
              EncodecModel,
              EncodecPreTrainedModel,
          )

else:
     import sys

     __a							     =					_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)