






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


class   __SCREAMING_SNAKE_CASE:
							def __init__(     self:      Optional[int]       ,	UpperCamelCase:      Optional[Any]						)		->		int:
											snake_case__									=     str(id_						)
											snake_case__									=     None
											snake_case__									=     None
											snake_case__									=     []
											snake_case__									=     {}  # {vertex:distance}
							def __lt__(     self:      str       ,	UpperCamelCase:      List[Any]						)		->		List[str]:
											return self.key < other.key
							def __repr__(     self:      Dict						)		->		List[str]:
											return self.id
							def lowerCAmelCase_ (     self:      int       ,	UpperCamelCase:      Union[str, Any]						)		->		Dict:
											self.neighbors.append(a_						)


							def lowerCAmelCase_ (     self:      Optional[int]       ,	UpperCamelCase:      str       ,	UpperCamelCase:      Optional[int]						)		->		Optional[int]:
											snake_case__									=     weight


def      a_ (      _A      ,   _A      ,   _A      ,   _A  )			->			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]      ,   lowerCAmelCase_  )
				graph[b - 1].add_edge(graph[a - 1]      ,   lowerCAmelCase_  )
def      a_ (      _A      ,   _A  )			->			Optional[int]:







				"""simple docstring"""
				snake_case__									=     []
				for u in graph:
								snake_case__									=     math.inf
								snake_case__									=     None
				snake_case__									=     0
				snake_case__									=     graph[:]
				while q:
								snake_case__									=     min(lowerCAmelCase_  )
								q.remove(lowerCAmelCase_  )
								for v in u.neighbors:
												if (v in q) and (u.edges[v.id] < v.key):
																snake_case__									=     u
																snake_case__									=     u.edges[v.id]
				for i in range(1      ,   len(lowerCAmelCase_  )  ):
								a.append((int(graph[i].id  ) + 1, int(graph[i].pi.id  ) + 1)  )
				return a
def      a_ (      _A      ,   _A  )			->			Union[str, Any]:







				"""simple docstring"""


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

				snake_case__									=     list(lowerCAmelCase_  )
				hq.heapify(lowerCAmelCase_  )

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

				for i in range(1      ,   len(lowerCAmelCase_  )  ):
								yield (int(graph[i].id  ) + 1, int(graph[i].pi.id  ) + 1)
def      a_ (      )			->			Dict:







				"""simple docstring"""




if __name__ == "__main__":
							import doctest

							doctest.testmod()












from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_sentencepiece_available,
    is_tokenizers_available,
    is_torch_available,
    is_vision_available,
)


__UpperCamelCase					:		str	  =						{"""processing_layoutxlm""": ["""LayoutXLMProcessor"""]}

try:
							if not is_sentencepiece_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							__UpperCamelCase					:		Dict	  =						["""LayoutXLMTokenizer"""]

try:
							if not is_tokenizers_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							__UpperCamelCase					:		str	  =						["""LayoutXLMTokenizerFast"""]

if TYPE_CHECKING:
							from .processing_layoutxlm import LayoutXLMProcessor

							try:
														if not is_sentencepiece_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .tokenization_layoutxlm import LayoutXLMTokenizer

							try:
														if not is_tokenizers_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .tokenization_layoutxlm_fast import LayoutXLMTokenizerFast

else:
							import sys

							__UpperCamelCase					:		Union[str, Any]	  =						_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)




