






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




class 		UpperCAmelCase_    :


						'''simple docstring'''




						def __init__(						self		,					_SCREAMING_SNAKE_CASE					)			->					List[str]:
								snake_case_					:				Optional[Any]    			=							str(id_					)
								snake_case_					:				List[str]    			=							None
								snake_case_					:				int    			=							None
								snake_case_					:				str    			=							[]
								snake_case_					:				Optional[Any]    			=							{}  # {vertex:distance}






						def __lt__(						self		,					_SCREAMING_SNAKE_CASE					)			->					List[str]:
								return self.key < other.key






						def __repr__(						self					)			->					List[str]:
								return self.id






						def    _lowerCAmelCase							(						self		,					_SCREAMING_SNAKE_CASE					)			->					List[str]:
								self.neighbors.append(__a					)






						def    _lowerCAmelCase							(						self		,					_SCREAMING_SNAKE_CASE		,					_SCREAMING_SNAKE_CASE					)			->					List[str]:
								snake_case_					:				Optional[Any]    			=							weight




def   lowerCAmelCase__						(     _a							:      Dict	,   _a							:      Union[str, Any]	,   _a							:      Optional[Any]	,   _a							:      Optional[int]     ):
		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__						(     _a							:      List[Any]	,   _a							:      List[str]     ):
		snake_case_					:				Tuple    			=							[]
		for u in graph:
				snake_case_					:				Optional[int]    			=							math.inf
				snake_case_					:				Optional[int]    			=							None
		snake_case_					:				int    			=							0
		snake_case_					:				List[Any]    			=							graph[:]
		while q:
				snake_case_					:				List[Any]    			=							min(_UpperCamelCase     )
				q.remove(_UpperCamelCase     )
				for v in u.neighbors:
						if (v in q) and (u.edges[v.id] < v.key):
								snake_case_					:				Dict    			=							u
								snake_case_					:				List[str]    			=							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__						(     _a							:      Any	,   _a							:      str     ):




		for u in graph:
				snake_case_					:				Tuple    			=							math.inf
				snake_case_					:				Dict    			=							None
		snake_case_					:				List[str]    			=							0

		snake_case_					:				Optional[Any]    			=							list(_UpperCamelCase     )
		hq.heapify(_UpperCamelCase     )

		while h:
				snake_case_					:				Any    			=							hq.heappop(_UpperCamelCase     )
				for v in u.neighbors:
						if (v in h) and (u.edges[v.id] < v.key):
								snake_case_					:				List[Any]    			=							u
								snake_case_					:				Optional[int]    			=							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()




"""simple docstring"""


import copy
from dataclasses import dataclass, field
from typing import ClassVar, Dict

from ..features import ClassLabel, Features, Image
from .base import TaskTemplate
@dataclass(frozen=lowerCAmelCase__						)
class     _UpperCamelCase    (  lowerCAmelCase__						):
							'''simple docstring'''







							__UpperCAmelCase		:       str							 =field(default="""image-classification"""			,metadata={"""include_in_asdict_even_if_is_default""": True}						)
							__UpperCAmelCase		:       ClassVar[Features]							 =Features({"""image""": Image()}						)
							__UpperCAmelCase		:       ClassVar[Features]							 =Features({"""labels""": ClassLabel}						)
							__UpperCAmelCase		:       str							 ="image"
							__UpperCAmelCase		:       str							 ="labels"

							def      snake_case							(	self       ,  __a      ):
										if self.label_column not in features:
													raise ValueError(f"Column {self.label_column} is not present in features."      )
										if not isinstance(features[self.label_column]       ,  __a      ):
													raise ValueError(f"Column {self.label_column} is not a ClassLabel."      )
										__lowerCAmelCase							       =     copy.deepcopy(self      )
										__lowerCAmelCase							       =     self.label_schema.copy()
										__lowerCAmelCase							       =     features[self.label_column]
										__lowerCAmelCase							       =     label_schema
										return task_template



							@property
							def      snake_case							(	self      ):
										return {
										    self.image_column: "image",
										    self.label_column: "labels",
										}




