



import timeit

import numpy as np

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






def       __lowercase  (					a__  )							->					int:




							def wrapper(*a__				,  **a__  ):
														__SCREAMING_SNAKE_CASE										=   timeit.default_timer()
														__SCREAMING_SNAKE_CASE										=   func(*_UpperCamelCase				,  **_UpperCamelCase  )
														__SCREAMING_SNAKE_CASE										=   timeit.default_timer() - starttime
														return delta

							__SCREAMING_SNAKE_CASE										=   func.__name__

							return wrapper






def       __lowercase  (					a__				,  a__=1_00				,  a__=None  )							->					str:
							__SCREAMING_SNAKE_CASE										=   []
							__SCREAMING_SNAKE_CASE										=   seq_shapes or {}
							for i in range(_UpperCamelCase  ):
														__SCREAMING_SNAKE_CASE										=   {}
														for col_id, (k, v) in enumerate(features.items()  ):
																					if isinstance(_UpperCamelCase				,  _ArrayXD  ):
																												__SCREAMING_SNAKE_CASE										=   np.random.rand(*v.shape  ).astype(v.dtype  )
																					elif isinstance(_UpperCamelCase				,  datasets.Value  ):
																												if v.dtype == "string":
																																			__SCREAMING_SNAKE_CASE										=   'The small grey turtle was surprisingly fast when challenged.'
																												else:
																																			__SCREAMING_SNAKE_CASE										=   np.random.randint(10				,  size=1  ).astype(v.dtype  ).item()
																					elif isinstance(_UpperCamelCase				,  datasets.Sequence  ):
																												while isinstance(_UpperCamelCase				,  datasets.Sequence  ):
																																			__SCREAMING_SNAKE_CASE										=   v.feature
																												__SCREAMING_SNAKE_CASE										=   seq_shapes[k]
																												__SCREAMING_SNAKE_CASE										=   np.random.rand(*_UpperCamelCase  ).astype(v.dtype  )
																					__SCREAMING_SNAKE_CASE										=   data

														dummy_data.append((i, example)  )

							return dummy_data






def       __lowercase  (					a__				,  a__				,  a__=1_00				,  a__=None  )							->					List[Any]:
							__SCREAMING_SNAKE_CASE										=   generate_examples(_UpperCamelCase				,  num_examples=_UpperCamelCase				,  seq_shapes=_UpperCamelCase  )

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

														__SCREAMING_SNAKE_CASE				,			__SCREAMING_SNAKE_CASE										=   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}."""  )

							__SCREAMING_SNAKE_CASE										=   datasets.Dataset.from_file(filename=_UpperCamelCase				,  info=datasets.DatasetInfo(features=_UpperCamelCase  )  )

							return dataset










"""simple docstring"""


import heapq as hq
import math
from collections.abc import Iterator
class     _UpperCamelCase    :
							'''simple docstring'''







							def __init__(	self       ,  __a      ):
										__lowerCAmelCase							       =     str(id_      )
										__lowerCAmelCase							       =     None
										__lowerCAmelCase							       =     None
										__lowerCAmelCase							       =     []
										__lowerCAmelCase							       =     {}  # {vertex:distance}

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

							def __repr__(	self      ):
										return self.id

							def      snake_case							(	self       ,  __a      ):
										self.neighbors.append(__a      )



							def      snake_case							(	self       ,  __a       ,  __a      ):
										__lowerCAmelCase							       =     weight


def _lowerCamelCase      (						_UpperCamelCase       ,					_UpperCamelCase       ,					_UpperCamelCase       ,					_UpperCamelCase ):

			'''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]       ,					_UpperCamelCase )
			graph[b - 1].add_edge(graph[a - 1]       ,					_UpperCamelCase )


def _lowerCamelCase      (						_UpperCamelCase       ,					_UpperCamelCase ):

			'''simple docstring'''




			__lowerCAmelCase							       =     []
			for u in graph:
						__lowerCAmelCase							       =     math.inf
						__lowerCAmelCase							       =     None
			__lowerCAmelCase							       =     0
			__lowerCAmelCase							       =     graph[:]
			while q:
						__lowerCAmelCase							       =     min(_UpperCamelCase )
						q.remove(_UpperCamelCase )
						for v in u.neighbors:
									if (v in q) and (u.edges[v.id] < v.key):
												__lowerCAmelCase							       =     u
												__lowerCAmelCase							       =     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      (						_UpperCamelCase       ,					_UpperCamelCase ):

			'''simple docstring'''




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

			__lowerCAmelCase							       =     list(_UpperCamelCase )
			hq.heapify(_UpperCamelCase )

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

			'''simple docstring'''






if __name__ == "__main__":
	import doctest

	doctest.testmod()




