


"""simple docstring"""
import sys
from collections import defaultdict





class        __A       :





							'''simple docstring'''

							def __init__(			self							: Any    )   ->List[str]:



														"""simple docstring"""



														snake_case_          =						[]



							def 						lowerCAmelCase    (			self							: Tuple						,    UpperCAmelCase_							: List[str]    )   ->Any:



														"""simple docstring"""



														return self.node_position[vertex]



							def 						lowerCAmelCase    (			self							: Dict						,    UpperCAmelCase_							: Dict						,    UpperCAmelCase_							: Tuple    )   ->List[str]:



														"""simple docstring"""



														snake_case_          =						pos



							def 						lowerCAmelCase    (			self							: Any						,    UpperCAmelCase_							: str						,    UpperCAmelCase_							: Optional[Any]						,    UpperCAmelCase_							: Any						,    UpperCAmelCase_							: str    )   ->int:



														"""simple docstring"""



														if start > size // 2 - 1:
																					return
														else:
																					if 2 * start + 2 >= size:
																												snake_case_          =						2 * start + 1
																					else:
																												if heap[2 * start + 1] < heap[2 * start + 2]:
																																			snake_case_          =						2 * start + 1
																												else:
																																			snake_case_          =						2 * start + 2
																					if heap[smallest_child] < heap[start]:
																												snake_case_          =						heap[smallest_child], positions[smallest_child]
																												snake_case_          =						(
																												    heap[start],
																												    positions[start],
																												)
																												snake_case_          =						temp, tempa

																												snake_case_          =						self.get_position(positions[smallest_child]    )
																												self.set_position(
																												    positions[smallest_child]						,    self.get_position(positions[start]    )    )
																												self.set_position(positions[start]						,    __lowerCamelCase    )

																												self.top_to_bottom(__lowerCamelCase						,    __lowerCamelCase						,    __lowerCamelCase						,    __lowerCamelCase    )



							def 						lowerCAmelCase    (			self							: str						,    UpperCAmelCase_							: Dict						,    UpperCAmelCase_							: List[str]						,    UpperCAmelCase_							: List[Any]						,    UpperCAmelCase_							: int    )   ->str:



														"""simple docstring"""



														snake_case_          =						position[index]

														while index != 0:
																					snake_case_          =						int((index - 2) / 2    ) if index % 2 == 0 else int((index - 1) / 2    )

																					if val < heap[parent]:
																												snake_case_          =						heap[parent]
																												snake_case_          =						position[parent]
																												self.set_position(position[parent]						,    __lowerCamelCase    )
																					else:
																												snake_case_          =						val
																												snake_case_          =						temp
																												self.set_position(__lowerCamelCase						,    __lowerCamelCase    )
																												break
																					snake_case_          =						parent
														else:
																					snake_case_          =						val
																					snake_case_          =						temp
																					self.set_position(__lowerCamelCase						,    0    )



							def 						lowerCAmelCase    (			self							: int						,    UpperCAmelCase_							: str						,    UpperCAmelCase_							: List[Any]    )   ->Any:



														"""simple docstring"""



														snake_case_          =						len(__lowerCamelCase    ) // 2 - 1
														for i in range(__lowerCamelCase						,    -1						,    -1    ):
																					self.top_to_bottom(__lowerCamelCase						,    __lowerCamelCase						,    len(__lowerCamelCase    )						,    __lowerCamelCase    )



							def 						lowerCAmelCase    (			self							: Dict						,    UpperCAmelCase_							: List[str]						,    UpperCAmelCase_							: List[str]    )   ->Any:



														"""simple docstring"""



														snake_case_          =						positions[0]
														snake_case_          =						sys.maxsize
														self.top_to_bottom(__lowerCamelCase						,    0						,    len(__lowerCamelCase    )						,    __lowerCamelCase    )
														return temp







def   _a			(   _SCREAMING_SNAKE_CASE			)      ->			Tuple:
							snake_case_          =						Heap()

							snake_case_          =						[0] * len(_SCREAMING_SNAKE_CASE			)
							snake_case_          =						[-1] * len(_SCREAMING_SNAKE_CASE			)  # Neighboring Tree Vertex of selected vertex
							# Minimum Distance of explored vertex with neighboring vertex of partial tree
							# formed in graph
							snake_case_          =						[]  # Heap of Distance of vertices from their neighboring vertex
							snake_case_          =						[]

							for vertex in range(len(_SCREAMING_SNAKE_CASE			)			):
														distance_tv.append(sys.maxsize			)
														positions.append(_SCREAMING_SNAKE_CASE			)
														heap.node_position.append(_SCREAMING_SNAKE_CASE			)

							snake_case_          =						[]
							snake_case_          =						1
							snake_case_          =						sys.maxsize
							for neighbor, distance in adjacency_list[0]:
														snake_case_          =						0
														snake_case_          =						distance
							heap.heapify(_SCREAMING_SNAKE_CASE			,	_SCREAMING_SNAKE_CASE			)

							for _ in range(1			,	len(_SCREAMING_SNAKE_CASE			)			):
														snake_case_          =						heap.delete_minimum(_SCREAMING_SNAKE_CASE			,	_SCREAMING_SNAKE_CASE			)
														if visited[vertex] == 0:
																					tree_edges.append((nbr_tv[vertex], vertex)			)
																					snake_case_          =						1
																					for neighbor, distance in adjacency_list[vertex]:
																												if (
																												    visited[neighbor] == 0
																												    and distance < distance_tv[heap.get_position(_SCREAMING_SNAKE_CASE			)]
																												):
																																			snake_case_          =						distance
																																			heap.bottom_to_top(
																																			    _SCREAMING_SNAKE_CASE			,	heap.get_position(_SCREAMING_SNAKE_CASE			)			,	_SCREAMING_SNAKE_CASE			,	_SCREAMING_SNAKE_CASE			)
																																			snake_case_          =						vertex
							return tree_edges


if __name__ == "__main__":  # pragma: no cover
				# < --------- Prims Algorithm --------- >
				__SCREAMING_SNAKE_CASE							:      Dict						=      int(input('Enter number of edges: ').strip())
				__SCREAMING_SNAKE_CASE							:      List[str]						=      defaultdict(list)
				for _ in range(edges_number):
								__SCREAMING_SNAKE_CASE							:      Any						=      [int(x) for x in input().strip().split()]
								adjacency_list[edge[0]].append([edge[1], edge[2]])
								adjacency_list[edge[1]].append([edge[0], edge[2]])
				print(prisms_algorithm(adjacency_list))







"""simple docstring"""
import ast
import os
import re
import shutil
import tempfile
import unittest
from unittest import mock

import torch

from accelerate.test_utils.examples import compare_against_test
from accelerate.test_utils.testing import TempDirTestCase, require_trackers, run_command, slow
from accelerate.utils import write_basic_config


# DataLoaders built from `test_samples/MRPC` for quick testing
# Should mock `{script_name}.get_dataloaders` via:
# @mock.patch("{script_name}.get_dataloaders", mocked_dataloaders)

__SCREAMING_SNAKE_CASE							:      Tuple						=      [
    'cross_validation.py',
    'gradient_accumulation.py',
    'local_sgd.py',
    'multi_process_metrics.py',
    'memory.py',
    'automatic_gradient_accumulation.py',
    'fsdp_with_peak_mem_tracking.py',
    'deepspeed_with_config_support.py',
    'megatron_lm_gpt_pretraining.py',
]





class        __A       (unittest.TestCase):





							'''simple docstring'''

							def 						lowerCAmelCase    (			self							: str						,    UpperCAmelCase_							: str						,    UpperCAmelCase_							: bool						,    UpperCAmelCase_							: str = None						,    UpperCAmelCase_							: list = None    )   ->List[Any]:



														"""simple docstring"""



														snake_case_          =						None
														snake_case_          =						os.path.abspath(os.path.join("""examples"""						,    """by_feature"""    )    )
														snake_case_          =						os.path.abspath("""examples"""    )
														for item in os.listdir(UpperCAmelCase_    ):
																					if item not in EXCLUDE_EXAMPLES:
																												snake_case_          =						os.path.join(UpperCAmelCase_						,    UpperCAmelCase_    )
																												if os.path.isfile(UpperCAmelCase_    ) and ".py" in item_path:
																																			with self.subTest(
																																			    tested_script=UpperCAmelCase_						,    feature_script=UpperCAmelCase_						,    tested_section="""main()""" if parser_only else """training_function()"""						,    ):
																																										snake_case_          =						compare_against_test(
																																										    os.path.join(UpperCAmelCase_						,    UpperCAmelCase_    )						,    UpperCAmelCase_						,    UpperCAmelCase_						,    UpperCAmelCase_    )
																																										snake_case_          =						"""\n""".join(UpperCAmelCase_    )
																																										if special_strings is not None:
																																																	for string in special_strings:
																																																								snake_case_          =						diff.replace(UpperCAmelCase_						,    """"""    )
																																										self.assertEqual(UpperCAmelCase_						,    """"""    )



							def 						lowerCAmelCase    (			self							: Tuple    )   ->List[Any]:



														"""simple docstring"""



														self.one_complete_example("""complete_nlp_example.py"""						,    UpperCAmelCase_    )
														self.one_complete_example("""complete_nlp_example.py"""						,    UpperCAmelCase_    )



							def 						lowerCAmelCase    (			self							: Tuple    )   ->Dict:



														"""simple docstring"""



														snake_case_          =						os.path.abspath(os.path.join("""examples"""						,    """cv_example.py"""    )    )
														snake_case_          =						[
														    """ """ * 16 + """{\n\n""",
														    """ """ * 20 + """\"accuracy\": eval_metric[\"accuracy\"],\n\n""",
														    """ """ * 20 + """\"f1\": eval_metric[\"f1\"],\n\n""",
														    """ """ * 20 + """\"train_loss\": total_loss.item() / len(train_dataloader),\n\n""",
														    """ """ * 20 + """\"epoch\": epoch,\n\n""",
														    """ """ * 16 + """},\n\n""",
														    """ """ * 16 + """step=epoch,\n""",
														    """ """ * 12,
														    """ """ * 8 + """for step, batch in enumerate(active_dataloader):\n""",
														]
														self.one_complete_example("""complete_cv_example.py"""						,    UpperCAmelCase_						,    UpperCAmelCase_						,    UpperCAmelCase_    )
														self.one_complete_example("""complete_cv_example.py"""						,    UpperCAmelCase_						,    UpperCAmelCase_						,    UpperCAmelCase_    )





@mock.patch.dict(os.environ  ,						{"""TESTING_MOCKED_DATALOADERS""": """1"""})
class        __A       (snake_case__):





							'''simple docstring'''

							__lowercase:						str							 =      False



							@classmethod
							def 						lowerCAmelCase    (			cls							: Any    )   ->List[str]:



														"""simple docstring"""



														super().setUpClass()
														snake_case_          =						tempfile.mkdtemp()
														snake_case_          =						os.path.join(cls._tmpdir						,    """default_config.yml"""    )

														write_basic_config(save_location=cls.configPath    )
														snake_case_          =						["""accelerate""", """launch""", """--config_file""", cls.configPath]



							@classmethod
							def 						lowerCAmelCase    (			cls							: List[str]    )   ->int:



														"""simple docstring"""



														super().tearDownClass()
														shutil.rmtree(cls._tmpdir    )



							def 						lowerCAmelCase    (			self							: List[str]    )   ->Optional[Any]:



														"""simple docstring"""



														snake_case_          =						F"""
        examples/by_feature/checkpointing.py
        --checkpointing_steps epoch
        --output_dir {self.tmpdir}
        """.split()
														run_command(self._launch_args + testargs    )
														self.assertTrue(os.path.exists(os.path.join(self.tmpdir						,    """epoch_0"""    )    )    )



							def 						lowerCAmelCase    (			self							: Any    )   ->Optional[Any]:



														"""simple docstring"""



														snake_case_          =						F"""
        examples/by_feature/checkpointing.py
        --checkpointing_steps 1
        --output_dir {self.tmpdir}
        """.split()
														snake_case_          =						run_command(self._launch_args + testargs    )
														self.assertTrue(os.path.exists(os.path.join(self.tmpdir						,    """step_2"""    )    )    )



							def 						lowerCAmelCase    (			self							: Union[str, Any]    )   ->str:



														"""simple docstring"""



														snake_case_          =						F"""
        examples/by_feature/checkpointing.py
        --resume_from_checkpoint {os.path.join(self.tmpdir						,    "epoch_0"    )}
        """.split()
														snake_case_          =						run_command(self._launch_args + testargs						,    return_stdout=UpperCAmelCase_    )
														self.assertNotIn("""epoch 0:"""						,    UpperCAmelCase_    )
														self.assertIn("""epoch 1:"""						,    UpperCAmelCase_    )



							def 						lowerCAmelCase    (			self							: Optional[int]    )   ->Tuple:



														"""simple docstring"""



														snake_case_          =						F"""
        examples/by_feature/checkpointing.py
        --resume_from_checkpoint {os.path.join(self.tmpdir						,    "step_2"    )}
        """.split()
														snake_case_          =						run_command(self._launch_args + testargs						,    return_stdout=UpperCAmelCase_    )
														if torch.cuda.is_available():
																					snake_case_          =						torch.cuda.device_count()
														else:
																					snake_case_          =						1
														if num_processes > 1:
																					self.assertNotIn("""epoch 0:"""						,    UpperCAmelCase_    )
																					self.assertIn("""epoch 1:"""						,    UpperCAmelCase_    )
														else:
																					self.assertIn("""epoch 0:"""						,    UpperCAmelCase_    )
																					self.assertIn("""epoch 1:"""						,    UpperCAmelCase_    )



							@slow
							def 						lowerCAmelCase    (			self							: Dict    )   ->Dict:



														"""simple docstring"""



														snake_case_          =						"""
        examples/by_feature/cross_validation.py
        --num_folds 2
        """.split()
														with mock.patch.dict(os.environ						,    {"""TESTING_MOCKED_DATALOADERS""": """0"""}    ):
																					snake_case_          =						run_command(self._launch_args + testargs						,    return_stdout=UpperCAmelCase_    )
																					snake_case_          =						re.findall("""({.+})"""						,    UpperCAmelCase_    )
																					snake_case_          =						[r for r in results if """accuracy""" in r][-1]
																					snake_case_          =						ast.literal_eval(UpperCAmelCase_    )
																					self.assertGreaterEqual(results["""accuracy"""]						,    0.75    )



							def 						lowerCAmelCase    (			self							: Optional[int]    )   ->int:



														"""simple docstring"""



														snake_case_          =						["""examples/by_feature/multi_process_metrics.py"""]
														run_command(self._launch_args + testargs    )



							@require_trackers
							@mock.patch.dict(os.environ						,    {"""WANDB_MODE""": """offline"""}    )
							def 						lowerCAmelCase    (			self							: Dict    )   ->Optional[Any]:



														"""simple docstring"""



														with tempfile.TemporaryDirectory() as tmpdir:
																					snake_case_          =						F"""
            examples/by_feature/tracking.py
            --with_tracking
            --project_dir {tmpdir}
            """.split()
																					run_command(self._launch_args + testargs    )
																					self.assertTrue(os.path.exists(os.path.join(UpperCAmelCase_						,    """tracking"""    )    )    )



							def 						lowerCAmelCase    (			self							: List[str]    )   ->Union[str, Any]:



														"""simple docstring"""



														snake_case_          =						["""examples/by_feature/gradient_accumulation.py"""]
														run_command(self._launch_args + testargs    )



							def 						lowerCAmelCase    (			self							: str    )   ->Dict:



														"""simple docstring"""



														snake_case_          =						["""examples/by_feature/local_sgd.py"""]
														run_command(self._launch_args + testargs    )



