


import sys
from collections import defaultdict




class       lowercase_					:





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





				def 						__UpperCamelCase    (				self       ,  lowercase_)  -> List[str]:
											return self.node_position[vertex]





				def 						__UpperCamelCase    (				self       ,  lowercase_       ,  lowercase_)  -> Any:
											a__      =pos





				def 						__UpperCamelCase    (				self       ,  lowercase_       ,  lowercase_       ,  lowercase_       ,  lowercase_)  -> List[Any]:
											if start > size // 2 - 1:
																		return
											else:
																		if 2 * start + 2 >= size:
																									a__      =2 * start + 1
																		else:
																									if heap[2 * start + 1] < heap[2 * start + 2]:
																																a__      =2 * start + 1
																									else:
																																a__      =2 * start + 2
																		if heap[smallest_child] < heap[start]:
																									a__    ,     a__      =heap[smallest_child], positions[smallest_child]
																									a__    ,     a__      =(
																									    heap[start],
																									    positions[start],
																									)
																									a__    ,     a__      =temp, tempa

																									a__      =self.get_position(positions[smallest_child])
																									self.set_position(
																									    positions[smallest_child]       ,  self.get_position(positions[start]))
																									self.set_position(positions[start]       ,  lowercase_)

																									self.top_to_bottom(lowercase_       ,  lowercase_       ,  lowercase_       ,  lowercase_)





				def 						__UpperCamelCase    (				self       ,  lowercase_       ,  lowercase_       ,  lowercase_       ,  lowercase_)  -> str:
											a__      =position[index]

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

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





				def 						__UpperCamelCase    (				self       ,  lowercase_       ,  lowercase_)  -> str:
											a__      =len(lowercase_) // 2 - 1
											for i in range(lowercase_       ,  -1       ,  -1):
																		self.top_to_bottom(lowercase_       ,  lowercase_       ,  len(lowercase_)       ,  lowercase_)





				def 						__UpperCamelCase    (				self       ,  lowercase_       ,  lowercase_)  -> Optional[Any]:
											a__      =positions[0]
											a__      =sys.maxsize
											self.top_to_bottom(lowercase_       ,  0       ,  len(lowercase_)       ,  lowercase_)
											return temp







def   _lowercase(					__a				:						Any     ):
							a__      =Heap()

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

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

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

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


if __name__ == "__main__":  # pragma: no cover
	# < --------- Prims Algorithm --------- >
	_lowerCAmelCase:						str   				=       int(input('Enter number of edges: ').strip())
	_lowerCAmelCase:						Optional[int]   				=       defaultdict(list)
	for _ in range(edges_number):
		_lowerCAmelCase:						str   				=       [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))







import unittest

from transformers import MODEL_FOR_ZERO_SHOT_OBJECT_DETECTION_MAPPING, is_vision_available, pipeline
from transformers.testing_utils import (
    is_pipeline_test,
    nested_simplify,
    require_tf,
    require_torch,
    require_vision,
    slow,
)

from .test_pipelines_common import ANY


if is_vision_available():
						from PIL import Image
else:



						class    lowercase_		:



												@staticmethod
												def 	__a					(			*snake_case__	:   List[Any]					,							**snake_case__	:   List[Any]  ):

														"""simple docstring"""

														pass



@is_pipeline_test
@require_vision
@require_torch
class    lowercase_		(unittest.TestCase ):
						lowerCAmelCase__			      =MODEL_FOR_ZERO_SHOT_OBJECT_DETECTION_MAPPING



						def 	__a					(			self	:   Any					,							snake_case__	:   List[str]					,							snake_case__	:   int					,							snake_case__	:   Optional[int]  ):

								"""simple docstring"""

								SCREAMING_SNAKE_CASE_					      =							pipeline(
								    'zero-shot-object-detection'					,							model='hf-internal-testing/tiny-random-owlvit-object-detection'  )

								SCREAMING_SNAKE_CASE_					      =							[
								    {
								        'image': './tests/fixtures/tests_samples/COCO/000000039769.png',
								        'candidate_labels': ['cat', 'remote', 'couch'],
								    }
								]
								return object_detector, examples



						def 	__a					(			self	:   List[Any]					,							snake_case__	:   Union[str, Any]					,							snake_case__	:   Union[str, Any]  ):

								"""simple docstring"""

								SCREAMING_SNAKE_CASE_					      =							object_detector(examples[0]					,							threshold=0.0  )

								SCREAMING_SNAKE_CASE_					      =							len(snake_case__  )
								self.assertGreater(snake_case__					,							0  )
								self.assertEqual(
								    snake_case__					,							[
								        {
								            'score': ANY(snake_case__  ),
								            'label': ANY(snake_case__  ),
								            'box': {'xmin': ANY(snake_case__  ), 'ymin': ANY(snake_case__  ), 'xmax': ANY(snake_case__  ), 'ymax': ANY(snake_case__  )},
								        }
								        for i in range(snake_case__  )
								    ]					,							)



						@require_tf
						@unittest.skip('Zero Shot Object Detection not implemented in TF'  )
						def 	__a					(			self	:   Union[str, Any]  ):

								"""simple docstring"""

								pass



						@require_torch
						def 	__a					(			self	:   Tuple  ):

								"""simple docstring"""

								SCREAMING_SNAKE_CASE_					      =							pipeline(
								    'zero-shot-object-detection'					,							model='hf-internal-testing/tiny-random-owlvit-object-detection'  )

								SCREAMING_SNAKE_CASE_					      =							object_detector(
								    './tests/fixtures/tests_samples/COCO/000000039769.png'					,							candidate_labels=['cat', 'remote', 'couch']					,							threshold=0.64					,							)

								self.assertEqual(
								    nested_simplify(snake_case__					,							decimals=4  )					,							[
								        {'score': 0.72_35, 'label': 'cat', 'box': {'xmin': 2_04, 'ymin': 1_67, 'xmax': 2_32, 'ymax': 1_90}},
								        {'score': 0.72_18, 'label': 'remote', 'box': {'xmin': 2_04, 'ymin': 1_67, 'xmax': 2_32, 'ymax': 1_90}},
								        {'score': 0.71_84, 'label': 'couch', 'box': {'xmin': 2_04, 'ymin': 1_67, 'xmax': 2_32, 'ymax': 1_90}},
								        {'score': 0.67_48, 'label': 'remote', 'box': {'xmin': 5_71, 'ymin': 83, 'xmax': 5_98, 'ymax': 1_03}},
								        {'score': 0.66_56, 'label': 'cat', 'box': {'xmin': 5_71, 'ymin': 83, 'xmax': 5_98, 'ymax': 1_03}},
								        {'score': 0.66_14, 'label': 'couch', 'box': {'xmin': 5_71, 'ymin': 83, 'xmax': 5_98, 'ymax': 1_03}},
								        {'score': 0.64_56, 'label': 'remote', 'box': {'xmin': 4_94, 'ymin': 1_05, 'xmax': 5_21, 'ymax': 1_27}},
								        {'score': 0.6_42, 'label': 'remote', 'box': {'xmin': 67, 'ymin': 2_74, 'xmax': 93, 'ymax': 2_97}},
								        {'score': 0.64_19, 'label': 'cat', 'box': {'xmin': 4_94, 'ymin': 1_05, 'xmax': 5_21, 'ymax': 1_27}},
								    ]					,							)

								SCREAMING_SNAKE_CASE_					      =							object_detector(
								    [
								        {
								            'image': './tests/fixtures/tests_samples/COCO/000000039769.png',
								            'candidate_labels': ['cat', 'remote', 'couch'],
								        }
								    ]					,							threshold=0.64					,							)

								self.assertEqual(
								    nested_simplify(snake_case__					,							decimals=4  )					,							[
								        [
								            {'score': 0.72_35, 'label': 'cat', 'box': {'xmin': 2_04, 'ymin': 1_67, 'xmax': 2_32, 'ymax': 1_90}},
								            {'score': 0.72_18, 'label': 'remote', 'box': {'xmin': 2_04, 'ymin': 1_67, 'xmax': 2_32, 'ymax': 1_90}},
								            {'score': 0.71_84, 'label': 'couch', 'box': {'xmin': 2_04, 'ymin': 1_67, 'xmax': 2_32, 'ymax': 1_90}},
								            {'score': 0.67_48, 'label': 'remote', 'box': {'xmin': 5_71, 'ymin': 83, 'xmax': 5_98, 'ymax': 1_03}},
								            {'score': 0.66_56, 'label': 'cat', 'box': {'xmin': 5_71, 'ymin': 83, 'xmax': 5_98, 'ymax': 1_03}},
								            {'score': 0.66_14, 'label': 'couch', 'box': {'xmin': 5_71, 'ymin': 83, 'xmax': 5_98, 'ymax': 1_03}},
								            {'score': 0.64_56, 'label': 'remote', 'box': {'xmin': 4_94, 'ymin': 1_05, 'xmax': 5_21, 'ymax': 1_27}},
								            {'score': 0.6_42, 'label': 'remote', 'box': {'xmin': 67, 'ymin': 2_74, 'xmax': 93, 'ymax': 2_97}},
								            {'score': 0.64_19, 'label': 'cat', 'box': {'xmin': 4_94, 'ymin': 1_05, 'xmax': 5_21, 'ymax': 1_27}},
								        ]
								    ]					,							)



						@require_torch
						@slow
						def 	__a					(			self	:   Optional[Any]  ):

								"""simple docstring"""

								SCREAMING_SNAKE_CASE_					      =							pipeline('zero-shot-object-detection'  )

								SCREAMING_SNAKE_CASE_					      =							object_detector(
								    'http://images.cocodataset.org/val2017/000000039769.jpg'					,							candidate_labels=['cat', 'remote', 'couch']					,							)
								self.assertEqual(
								    nested_simplify(snake_case__					,							decimals=4  )					,							[
								        {'score': 0.28_68, 'label': 'cat', 'box': {'xmin': 3_24, 'ymin': 20, 'xmax': 6_40, 'ymax': 3_73}},
								        {'score': 0.2_77, 'label': 'remote', 'box': {'xmin': 40, 'ymin': 72, 'xmax': 1_77, 'ymax': 1_15}},
								        {'score': 0.25_37, 'label': 'cat', 'box': {'xmin': 1, 'ymin': 55, 'xmax': 3_15, 'ymax': 4_72}},
								        {'score': 0.14_74, 'label': 'remote', 'box': {'xmin': 3_35, 'ymin': 74, 'xmax': 3_71, 'ymax': 1_87}},
								        {'score': 0.12_08, 'label': 'couch', 'box': {'xmin': 4, 'ymin': 0, 'xmax': 6_42, 'ymax': 4_76}},
								    ]					,							)

								SCREAMING_SNAKE_CASE_					      =							object_detector(
								    [
								        {
								            'image': 'http://images.cocodataset.org/val2017/000000039769.jpg',
								            'candidate_labels': ['cat', 'remote', 'couch'],
								        },
								        {
								            'image': 'http://images.cocodataset.org/val2017/000000039769.jpg',
								            'candidate_labels': ['cat', 'remote', 'couch'],
								        },
								    ]					,							)
								self.assertEqual(
								    nested_simplify(snake_case__					,							decimals=4  )					,							[
								        [
								            {'score': 0.28_68, 'label': 'cat', 'box': {'xmin': 3_24, 'ymin': 20, 'xmax': 6_40, 'ymax': 3_73}},
								            {'score': 0.2_77, 'label': 'remote', 'box': {'xmin': 40, 'ymin': 72, 'xmax': 1_77, 'ymax': 1_15}},
								            {'score': 0.25_37, 'label': 'cat', 'box': {'xmin': 1, 'ymin': 55, 'xmax': 3_15, 'ymax': 4_72}},
								            {'score': 0.14_74, 'label': 'remote', 'box': {'xmin': 3_35, 'ymin': 74, 'xmax': 3_71, 'ymax': 1_87}},
								            {'score': 0.12_08, 'label': 'couch', 'box': {'xmin': 4, 'ymin': 0, 'xmax': 6_42, 'ymax': 4_76}},
								        ],
								        [
								            {'score': 0.28_68, 'label': 'cat', 'box': {'xmin': 3_24, 'ymin': 20, 'xmax': 6_40, 'ymax': 3_73}},
								            {'score': 0.2_77, 'label': 'remote', 'box': {'xmin': 40, 'ymin': 72, 'xmax': 1_77, 'ymax': 1_15}},
								            {'score': 0.25_37, 'label': 'cat', 'box': {'xmin': 1, 'ymin': 55, 'xmax': 3_15, 'ymax': 4_72}},
								            {'score': 0.14_74, 'label': 'remote', 'box': {'xmin': 3_35, 'ymin': 74, 'xmax': 3_71, 'ymax': 1_87}},
								            {'score': 0.12_08, 'label': 'couch', 'box': {'xmin': 4, 'ymin': 0, 'xmax': 6_42, 'ymax': 4_76}},
								        ],
								    ]					,							)



						@require_tf
						@unittest.skip('Zero Shot Object Detection not implemented in TF'  )
						def 	__a					(			self	:   Union[str, Any]  ):

								"""simple docstring"""

								pass



						@require_torch
						@slow
						def 	__a					(			self	:   Union[str, Any]  ):

								"""simple docstring"""

								SCREAMING_SNAKE_CASE_					      =							0.2
								SCREAMING_SNAKE_CASE_					      =							pipeline('zero-shot-object-detection'  )

								SCREAMING_SNAKE_CASE_					      =							object_detector(
								    'http://images.cocodataset.org/val2017/000000039769.jpg'					,							candidate_labels=['cat', 'remote', 'couch']					,							threshold=snake_case__					,							)
								self.assertEqual(
								    nested_simplify(snake_case__					,							decimals=4  )					,							[
								        {'score': 0.28_68, 'label': 'cat', 'box': {'xmin': 3_24, 'ymin': 20, 'xmax': 6_40, 'ymax': 3_73}},
								        {'score': 0.2_77, 'label': 'remote', 'box': {'xmin': 40, 'ymin': 72, 'xmax': 1_77, 'ymax': 1_15}},
								        {'score': 0.25_37, 'label': 'cat', 'box': {'xmin': 1, 'ymin': 55, 'xmax': 3_15, 'ymax': 4_72}},
								    ]					,							)






						@require_torch
						@slow
						def 	__a					(			self	:   Tuple  ):

								"""simple docstring"""

								SCREAMING_SNAKE_CASE_					      =							2
								SCREAMING_SNAKE_CASE_					      =							pipeline('zero-shot-object-detection'  )

								SCREAMING_SNAKE_CASE_					      =							object_detector(
								    'http://images.cocodataset.org/val2017/000000039769.jpg'					,							candidate_labels=['cat', 'remote', 'couch']					,							top_k=snake_case__					,							)
								self.assertEqual(
								    nested_simplify(snake_case__					,							decimals=4  )					,							[
								        {'score': 0.28_68, 'label': 'cat', 'box': {'xmin': 3_24, 'ymin': 20, 'xmax': 6_40, 'ymax': 3_73}},
								        {'score': 0.2_77, 'label': 'remote', 'box': {'xmin': 40, 'ymin': 72, 'xmax': 1_77, 'ymax': 1_15}},
								    ]					,							)