


class       _UpperCamelCase    :

				"""simple docstring"""







				def __init__(						self   )	->				Optional[Any]:
					A								=				0
					A								=				0
					A								=				{}

				def      _UpperCAmelCase					(						self				,   a__   )	->				Union[str, Any]:
					if vertex not in self.adjacency:
						A								=				{}
						self.num_vertices += 1

				def      _UpperCAmelCase					(						self				,   a__				,   a__				,   a__   )	->				Tuple:
					self.add_vertex(a__   )
					self.add_vertex(a__   )

					if head == tail:
						return

					A								=				weight
					A								=				weight

				def      _UpperCAmelCase					(						self   )	->				Dict:
					A								=				self.get_edges()
					for edge in edges:
						A					,			A					,			A								=				edge
						edges.remove((tail, head, weight)   )
					for i in range(len(a__   )   ):
						A								=				list(edges[i]   )

					edges.sort(key=lambda a__   : e[2]   )
					for i in range(len(a__   ) - 1   ):
						if edges[i][2] >= edges[i + 1][2]:
							A								=				edges[i][2] + 1
					for edge in edges:
						A					,			A					,			A								=				edge
						A								=				weight
						A								=				weight

				def __str__(						self   )	->				str:
					A								=				""""""
					for tail in self.adjacency:
						for head in self.adjacency[tail]:
							A								=				self.adjacency[head][tail]
							string += f'{head} -> {tail} == {weight}\n'
					return string.rstrip("""\n"""   )

				def      _UpperCAmelCase					(						self   )	->				Dict:
					A								=				[]
					for tail in self.adjacency:
						for head in self.adjacency[tail]:
							output.append((tail, head, self.adjacency[head][tail])   )
					return output

				def      _UpperCAmelCase					(						self   )	->				Any:
					return self.adjacency.keys()

				@staticmethod
				def      _UpperCAmelCase					(						a__=None				,   a__=None   )	->				Tuple:
					A								=				Graph()
					if vertices is None:
						A								=				[]
					if edges is None:
						A								=				[]
					for vertex in vertices:
						g.add_vertex(a__   )
					for edge in edges:
						g.add_edge(*a__   )
					return g






				class       _UpperCamelCase    :

								"""simple docstring"""







								def __init__(						self   )	->				List[str]:
									A								=				{}
									A								=				{}

								def __len__(						self   )	->				Optional[int]:
									return len(self.parent   )

								def      _UpperCAmelCase					(						self				,   a__   )	->				str:
									if item in self.parent:
										return self.find(a__   )

									A								=				item
									A								=				0
									return item

								def      _UpperCAmelCase					(						self				,   a__   )	->				Optional[Any]:
									if item not in self.parent:
										return self.make_set(a__   )
									if item != self.parent[item]:
										A								=				self.find(self.parent[item]   )
									return self.parent[item]

								def      _UpperCAmelCase					(						self				,   a__				,   a__   )	->				int:
									A								=				self.find(a__   )
									A								=				self.find(a__   )

									if roota == roota:
										return roota

									if self.rank[roota] > self.rank[roota]:
										A								=				roota
										return roota

									if self.rank[roota] < self.rank[roota]:
										A								=				roota
										return roota

									if self.rank[roota] == self.rank[roota]:
										self.rank[roota] += 1
										A								=				roota
										return roota
									return None

				@staticmethod
				def      _UpperCAmelCase					(						a__   )	->				List[str]:
					A								=				graph.num_vertices

					A								=				Graph.UnionFind()
					A								=				[]
					while num_components > 1:
						A								=				{}
						for vertex in graph.get_vertices():
							A								=				-1

						A								=				graph.get_edges()
						for edge in edges:
							A					,			A					,			A								=				edge
							edges.remove((tail, head, weight)   )
						for edge in edges:
							A					,			A					,			A								=				edge
							A								=				union_find.find(a__   )
							A								=				union_find.find(a__   )
							if seta != seta:
								if cheap_edge[seta] == -1 or cheap_edge[seta][2] > weight:
									A								=				[head, tail, weight]

								if cheap_edge[seta] == -1 or cheap_edge[seta][2] > weight:
									A								=				[head, tail, weight]
						for vertex in cheap_edge:
							if cheap_edge[vertex] != -1:
								A					,			A					,			A								=				cheap_edge[vertex]
								if union_find.find(a__   ) != union_find.find(a__   ):
									union_find.union(a__				,   a__   )
									mst_edges.append(cheap_edge[vertex]   )
									A								=				num_components - 1
					A								=				Graph.build(edges=a__   )
					return mst







import timeit

import numpy as np

import datasets
from datasets.arrow_writer import ArrowWriter
from datasets.features.features import _ArrayXD





def   _lowerCAmelCase				(   UpperCamelCase__:     Any						) ->   Tuple:





	"""simple docstring"""







	def wrapper(*UpperCamelCase__:     Union[str, Any]							,					**UpperCamelCase__:     List[str]						):
		A								=				timeit.default_timer()
		A								=				func(*UpperCamelCase__							,					**UpperCamelCase__						)
		A								=				timeit.default_timer() - starttime
		return delta

	A								=				func.__name__

	return wrapper





def   _lowerCAmelCase				(   UpperCamelCase__:     dict							,					UpperCamelCase__:     List[str]=1_00							,					UpperCamelCase__:     int=None						) ->   Any:





	"""simple docstring"""







	A								=				[]
	A								=				seq_shapes or {}
	for i in range(UpperCamelCase__						):
		A								=				{}
		for col_id, (k, v) in enumerate(features.items()						):
			if isinstance(UpperCamelCase__							,					_ArrayXD						):
				A								=				np.random.rand(*v.shape						).astype(v.dtype						)
			elif isinstance(UpperCamelCase__							,					datasets.Value						):
				if v.dtype == "string":
					A								=				"""The small grey turtle was surprisingly fast when challenged."""
				else:
					A								=				np.random.randint(10							,					size=1						).astype(v.dtype						).item()
			elif isinstance(UpperCamelCase__							,					datasets.Sequence						):
				while isinstance(UpperCamelCase__							,					datasets.Sequence						):
					A								=				v.feature
				A								=				seq_shapes[k]
				A								=				np.random.rand(*UpperCamelCase__						).astype(v.dtype						)
			A								=				data

		dummy_data.append((i, example)						)

	return dummy_data





def   _lowerCAmelCase				(   UpperCamelCase__:     int							,					UpperCamelCase__:     Union[str, Any]							,					UpperCamelCase__:     List[str]=1_00							,					UpperCamelCase__:     str=None						) ->   Optional[int]:





	"""simple docstring"""







	A								=				generate_examples(UpperCamelCase__							,					num_examples=UpperCamelCase__							,					seq_shapes=UpperCamelCase__						)

	with ArrowWriter(features=UpperCamelCase__							,					path=UpperCamelCase__						) as writer:
		for key, record in dummy_data:
			A								=				features.encode_example(UpperCamelCase__						)
			writer.write(UpperCamelCase__						)

		A					,			A								=				writer.finalize()

	if not num_final_examples == num_examples:
		raise ValueError(
		    f'Error writing the dataset, wrote {num_final_examples} examples but should have written {num_examples}.'						)

	A								=				datasets.Dataset.from_file(filename=UpperCamelCase__							,					info=datasets.DatasetInfo(features=UpperCamelCase__						)						)

	return dataset



