





from __future__ import annotations

from typing import Generic, TypeVar

_a						=   TypeVar("T")






class       __A					(					Generic[T]				):

			'''simple docstring'''







			def __init__(					self ,						__lowerCAmelCase							):



				'''simple docstring'''







				lowerCamelCase__              =	data
				lowerCamelCase__              =	self
				lowerCamelCase__              =	0






class       __A					(					Generic[T]				):

			'''simple docstring'''







			def __init__(					self							):



				'''simple docstring'''







				lowerCamelCase__              =	{}





			def 	__lowerCamelCase       (					self ,						__lowerCAmelCase							):



				'''simple docstring'''







				lowerCamelCase__              =	DisjointSetTreeNode(__lowerCAmelCase							)





			def 	__lowerCamelCase       (					self ,						__lowerCAmelCase							):



				'''simple docstring'''







				lowerCamelCase__              =	self.map[data]
				if elem_ref != elem_ref.parent:
					lowerCamelCase__              =	self.find_set(elem_ref.parent.data							)
				return elem_ref.parent





			def 	__lowerCamelCase       (					self ,						__lowerCAmelCase ,						__lowerCAmelCase							):



				'''simple docstring'''







				if nodea.rank > nodea.rank:
					lowerCamelCase__              =	nodea
				else:
					lowerCamelCase__              =	nodea
					if nodea.rank == nodea.rank:
						nodea.rank += 1





			def 	__lowerCamelCase       (					self ,						__lowerCAmelCase ,						__lowerCAmelCase							):



				'''simple docstring'''







				self.link(self.find_set(__lowerCAmelCase							) ,						self.find_set(__lowerCAmelCase							)							)






class       __A					(					Generic[T]				):

			'''simple docstring'''







			def __init__(					self							):



				'''simple docstring'''







				lowerCamelCase__              =	{}





			def 	__lowerCamelCase       (					self ,						__lowerCAmelCase							):



				'''simple docstring'''







				if node not in self.connections:
					lowerCamelCase__              =	{}





			def 	__lowerCamelCase       (					self ,						__lowerCAmelCase ,						__lowerCAmelCase ,						__lowerCAmelCase							):



				'''simple docstring'''







				self.add_node(__lowerCAmelCase							)
				self.add_node(__lowerCAmelCase							)
				lowerCamelCase__              =	weight
				lowerCamelCase__              =	weight





			def 	__lowerCamelCase       (					self							):



				'''simple docstring'''







				lowerCamelCase__              =	[]
				lowerCamelCase__              =	set()
				for start in self.connections:
					for end in self.connections[start]:
						if (start, end) not in seen:
							seen.add((end, start)							)
							edges.append((start, end, self.connections[start][end])							)
				edges.sort(key=lambda __lowerCAmelCase							: x[2]							)

				# creating the disjoint set
				lowerCamelCase__              =	DisjointSetTree[T]()
				for node in self.connections:
					disjoint_set.make_set(__lowerCAmelCase							)

				# MST generation
				lowerCamelCase__              =	0
				lowerCamelCase__              =	0
				lowerCamelCase__              =	GraphUndirectedWeighted[T]()
				while num_edges < len(self.connections							) - 1:
					lowerCamelCase__       ,			lowerCamelCase__       ,			lowerCamelCase__              =	edges[index]
					index += 1
					lowerCamelCase__              =	disjoint_set.find_set(__lowerCAmelCase							)
					lowerCamelCase__              =	disjoint_set.find_set(__lowerCAmelCase							)
					if parent_u != parent_v:
						num_edges += 1
						graph.add_edge(__lowerCAmelCase ,						__lowerCAmelCase ,						__lowerCAmelCase							)
						disjoint_set.union(__lowerCAmelCase ,						__lowerCAmelCase							)
				return graph










import timeit

import numpy as np

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





def lowerCAmelCase__(__snake_case							)       ->   Union[str, Any]:







	'''simple docstring'''







	def wrapper(*__snake_case ,**__snake_case							):
		lowerCamelCase__              =	timeit.default_timer()
		lowerCamelCase__              =	func(*__snake_case ,**__snake_case							)
		lowerCamelCase__              =	timeit.default_timer() - starttime
		return delta

	lowerCamelCase__              =	func.__name__

	return wrapper





def lowerCAmelCase__(__snake_case ,__snake_case=100 ,__snake_case=None							)       ->   Optional[Any]:







	'''simple docstring'''







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

		dummy_data.append((i, example)							)

	return dummy_data





def lowerCAmelCase__(__snake_case ,__snake_case ,__snake_case=100 ,__snake_case=None							)       ->   str:







	'''simple docstring'''







	lowerCamelCase__              =	generate_examples(__snake_case ,num_examples=__snake_case ,seq_shapes=__snake_case							)

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

		lowerCamelCase__       ,			lowerCamelCase__              =	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}.'							)

	lowerCamelCase__              =	datasets.Dataset.from_file(filename=__snake_case ,info=datasets.DatasetInfo(features=__snake_case							)							)

	return dataset



