

'''simple docstring'''
import heapq as hq
import math
from collections.abc import Iterator







class 							A__   :





  def __init__(		self				:     int							, _a				:     Union[str, Any]			)     ->   Optional[Any]:





       '''simple docstring'''






       _SCREAMING_SNAKE_CASE							   =str(id_			)
       _SCREAMING_SNAKE_CASE							   =None
       _SCREAMING_SNAKE_CASE							   =None
       _SCREAMING_SNAKE_CASE							   =[]
       _SCREAMING_SNAKE_CASE							   ={}  # {vertex:distance}





  def __lt__(		self				:     int							, _a				:     Optional[Any]			)     ->   int:





       '''simple docstring'''






       return self.key < other.key





  def __repr__(		self				:     str			)     ->   List[Any]:





       '''simple docstring'''






       return self.id





  def 						A  (		self				:     List[str]							, _a				:     Optional[Any]			)     ->   Dict:





       '''simple docstring'''






       self.neighbors.append(_a			)





  def 						A  (		self				:     str							, _a				:     Any							, _a				:     Tuple			)     ->   Optional[Any]:





       '''simple docstring'''






       _SCREAMING_SNAKE_CASE							   =weight


def 	_lowerCAmelCase (						_UpperCamelCase						:					Tuple							,			_UpperCamelCase						:					List[str]							,			_UpperCamelCase						:					Any							,			_UpperCamelCase						:					List[Any]    )				->      Optional[Any]:
     """simple docstring"""




     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						:					list							,			_UpperCamelCase						:					Vertex    )				->      list:
     """simple docstring"""




     _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						:					list							,			_UpperCamelCase						:					Vertex    )				->      Iterator[tuple]:
     """simple docstring"""




     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 (						)				->      None:
     """simple docstring"""






if __name__ == "__main__":
     import doctest

     doctest.testmod()



'''simple docstring'''
# Copyright 2023 The HuggingFace Team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
from typing import TYPE_CHECKING

# rely on isort to merge the imports
from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available, is_vision_available


lowerCamelCase			:				Optional[int] 			=					{
    "configuration_efficientnet": [
        "EFFICIENTNET_PRETRAINED_CONFIG_ARCHIVE_MAP",
        "EfficientNetConfig",
        "EfficientNetOnnxConfig",
    ]
}

try:
     if not is_vision_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     lowerCamelCase			:				str 			=					["EfficientNetImageProcessor"]

try:
     if not is_torch_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     lowerCamelCase			:				Tuple 			=					[
         "EFFICIENTNET_PRETRAINED_MODEL_ARCHIVE_LIST",
         "EfficientNetForImageClassification",
         "EfficientNetModel",
         "EfficientNetPreTrainedModel",
     ]

if TYPE_CHECKING:
     from .configuration_efficientnet import (
         EFFICIENTNET_PRETRAINED_CONFIG_ARCHIVE_MAP,
         EfficientNetConfig,
         EfficientNetOnnxConfig,
     )

     try:
          if not is_vision_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .image_processing_efficientnet import EfficientNetImageProcessor

     try:
          if not is_torch_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .modeling_efficientnet import (
              EFFICIENTNET_PRETRAINED_MODEL_ARCHIVE_LIST,
              EfficientNetForImageClassification,
              EfficientNetModel,
              EfficientNetPreTrainedModel,
          )

else:
     import sys

     lowerCamelCase			:				int 			=					_LazyModule(__name__, globals()["__file__"], _import_structure)
