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





class 					A							:


   def __init__(self					:						Union[str, Any]	,  __UpperCAmelCase					:						List[str]		)						->    List[Any]:
         """simple docstring"""



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


   def __lt__(self					:						List[str]	,  __UpperCAmelCase					:						Tuple		)						->    Tuple:
         """simple docstring"""



         return self.key < other.key


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



         return self.id


   def       lowercase_				(self					:						List[str]	,  __UpperCAmelCase					:						Union[str, Any]		)						->    int:
         """simple docstring"""



         self.neighbors.append(__UpperCAmelCase		)





   def       lowercase_				(self					:						Optional[int]	,  __UpperCAmelCase					:						Optional[int]	,  __UpperCAmelCase					:						Union[str, Any]		)						->    Union[str, Any]:
         """simple docstring"""



         UpperCAmelCase__								=  weight




def        lowerCAmelCase_			(					__A,  __A,  __A,  __A							)					->    List[str]:







      '''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],  __A							)
      graph[b - 1].add_edge(graph[a - 1],  __A							)




def        lowerCAmelCase_			(					__A,  __A							)					->    list:







      '''simple docstring'''


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




def        lowerCAmelCase_			(					__A,  __A							)					->    Iterator[tuple]:







      '''simple docstring'''


      for u in graph:
            UpperCAmelCase__								=  math.inf
            UpperCAmelCase__								=  None
      UpperCAmelCase__								=  0

      UpperCAmelCase__								=  list(__A							)
      hq.heapify(__A							)

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

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




def        lowerCAmelCase_			(					)					->    None:







      '''simple docstring'''






if __name__ == "__main__":
      import doctest

      doctest.testmod()




from typing import TYPE_CHECKING

from ...utils import _LazyModule


UpperCamelCase__    							= {'tokenization_bertweet': ['BertweetTokenizer']}


if TYPE_CHECKING:
      from .tokenization_bertweet import BertweetTokenizer

else:
      import sys

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



