





'''simple docstring'''






import heapq as hq
import math
from collections.abc import Iterator
class 					__snake_case  :






   '''simple docstring'''





   def __init__(							self	,		__SCREAMING_SNAKE_CASE       ):
    snake_case__     :					List[Any]    =  str(id_       )
    snake_case__     :					Dict    =  None
    snake_case__     :					List[Any]    =  None
    snake_case__     :					Optional[int]    =  []
    snake_case__     :					Tuple    =  {}  # {vertex:distance}

   def __lt__(							self	,		__SCREAMING_SNAKE_CASE       ):
    return self.key < other.key

   def __repr__(							self       ):
    return self.id

   def 		__UpperCamelCase						(							self	,		__SCREAMING_SNAKE_CASE       ):
    self.neighbors.append(__SCREAMING_SNAKE_CASE       )


   def 		__UpperCamelCase						(							self	,		__SCREAMING_SNAKE_CASE	,		__SCREAMING_SNAKE_CASE       ):
    snake_case__     :					Tuple    =  weight



def        UpperCamelCase__		(						__magic_name__  :   Optional[Any]		,       __magic_name__  :   List[str]		,       __magic_name__  :   int		,       __magic_name__  :   Dict      )				->			Union[str, 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]		,       __magic_name__      )
 graph[b - 1].add_edge(graph[a - 1]		,       __magic_name__      )



def        UpperCamelCase__		(						__magic_name__  :   list		,       __magic_name__  :   Vertex      )				->			list:
 '''simple docstring'''






 snake_case__     :					Optional[int]    =  []
 for u in graph:
  snake_case__     :					str    =  math.inf
  snake_case__     :					List[Any]    =  None
 snake_case__     :					Dict    =  0
 snake_case__     :					Tuple    =  graph[:]
 while q:
  snake_case__     :					Any    =  min(__magic_name__      )
  q.remove(__magic_name__      )
  for v in u.neighbors:
   if (v in q) and (u.edges[v.id] < v.key):
    snake_case__     :					Optional[int]    =  u
    snake_case__     :					Dict    =  u.edges[v.id]
 for i in range(1		,       len(__magic_name__      )      ):
  a.append((int(graph[i].id      ) + 1, int(graph[i].pi.id      ) + 1)      )
 return a



def        UpperCamelCase__		(						__magic_name__  :   list		,       __magic_name__  :   Vertex      )				->			Iterator[tuple]:
 '''simple docstring'''






 for u in graph:
  snake_case__     :					Tuple    =  math.inf
  snake_case__     :					Tuple    =  None
 snake_case__     :					Optional[int]    =  0

 snake_case__     :					str    =  list(__magic_name__      )
 hq.heapify(__magic_name__      )

 while h:
  snake_case__     :					str    =  hq.heappop(__magic_name__      )
  for v in u.neighbors:
   if (v in h) and (u.edges[v.id] < v.key):
    snake_case__     :					Union[str, Any]    =  u
    snake_case__     :					Dict    =  u.edges[v.id]
    hq.heapify(__magic_name__      )

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



def        UpperCamelCase__		(						)				->			None:
 '''simple docstring'''








if __name__ == "__main__":
    import doctest

    doctest.testmod()











from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_sentencepiece_available


__A							:			Optional[Any]         =			{}


try:
 if not is_sentencepiece_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 __A							:			Optional[int]         =			["MLukeTokenizer"]

if TYPE_CHECKING:
 try:
  if not is_sentencepiece_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .tokenization_mluke import MLukeTokenizer


else:
 import sys

 __A							:			List[str]         =			_LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)





