"""simple docstring"""






import torch

from accelerate import Accelerator, DistributedType
class     snake_case	:




					"""simple docstring"""

					def __enter__(    self       :     List[str]      ):
									if self.enabled:
													UpperCAmelCase__					=							self.model.no_sync()
													self.model_sync_obj.__enter__()

									return self







					def __exit__(    self       :     int   ,lowerCamelCase__       :     Dict   ,lowerCamelCase__       :     int   ,lowerCamelCase__       :     List[str]      ):
									if self.enabled:
													# Average all models on exit
													self._sync_and_avg_model_params()
													self.model_sync_obj.__exit__(lowerCamelCase__   ,lowerCamelCase__   ,lowerCamelCase__      )







					def __init__(    self       :     Optional[Any]   ,lowerCamelCase__       :     Accelerator   ,lowerCamelCase__       :     torch.nn.Module   ,lowerCamelCase__       :     int   ,lowerCamelCase__       :     bool = True      ):
									if accelerator.distributed_type not in [
									    DistributedType.NO,
									    DistributedType.MULTI_CPU,
									    DistributedType.MULTI_GPU,
									]:
													raise NotImplementedError('LocalSGD is supported only for CPUs and GPUs (no DeepSpeed or MegatronLM)'      )
									UpperCAmelCase__					=							enabled and accelerator.distributed_type != DistributedType.NO
									UpperCAmelCase__					=							0
									if self.enabled:
													UpperCAmelCase__					=							accelerator
													UpperCAmelCase__					=							model
													UpperCAmelCase__					=							local_sgd_steps







					def 		__lowerCAmelCase						(    self       :     Optional[int]      ):
									self.num_steps += 1
									if not self.enabled:
													return

									if self.num_steps % self.local_sgd_steps == 0:
													self._sync_and_avg_model_params()







					def 		__lowerCAmelCase						(    self       :     List[Any]      ):
									self.accelerator.wait_for_everyone()
									with self.accelerator.autocast():
													for param in self.model.parameters():
																	UpperCAmelCase__					=							self.accelerator.reduce(param.data   ,reduction='mean'      )




"""simple docstring"""






from __future__ import annotations
class     snake_case	:




					"""simple docstring"""

					def __init__(    self       :     Tuple   ,lowerCamelCase__       :     int      ):
									UpperCAmelCase__					=							vertices
									UpperCAmelCase__					=							[[0] * vertices for _ in range(lowerCamelCase__      )]







					def 		__lowerCAmelCase						(    self       :     Dict   ,lowerCamelCase__       :     list[int]      ):
									print('Vertex \t Distance from Source'      )
									for vertex in range(self.vertices      ):
													print(lowerCamelCase__   ,'\t\t'   ,distances_from_source[vertex]      )







					def 		__lowerCAmelCase						(    self       :     List[Any]   ,lowerCamelCase__       :     list[int]   ,lowerCamelCase__       :     list[bool]      ):
									UpperCAmelCase__					=							1e7
									UpperCAmelCase__					=							0

									# Search not nearest vertex not in the shortest path tree
									for vertex in range(self.vertices      ):
													if distances_from_source[vertex] < minimum and visited[vertex] is False:
																	UpperCAmelCase__					=							distances_from_source[vertex]
																	UpperCAmelCase__					=							vertex
									return min_index







					def 		__lowerCAmelCase						(    self       :     List[Any]   ,lowerCamelCase__       :     int      ):
									UpperCAmelCase__					=							[int(1e7      )] * self.vertices  # distances from the source
									UpperCAmelCase__					=							0
									UpperCAmelCase__					=							[False] * self.vertices

									for _ in range(self.vertices      ):
													UpperCAmelCase__					=							self.minimum_distance(lowerCamelCase__   ,lowerCamelCase__      )
													UpperCAmelCase__					=							True

													# Update dist value of the adjacent vertices
													# of the picked vertex only if the current
													# distance is greater than new distance and
													# the vertex in not in the shortest path tree
													for v in range(self.vertices      ):
																	if (
																	    self.graph[u][v] > 0
																	    and visited[v] is False
																	    and distances[v] > distances[u] + self.graph[u][v]
																	):
																					UpperCAmelCase__					=							distances[u] + self.graph[u][v]

									self.print_solution(lowerCamelCase__      )


if __name__ == "__main__":
						lowerCAmelCase__  :  List[str]											=     Graph(9)
						lowerCAmelCase__  :  Tuple											=     [
						    [0, 4, 0, 0, 0, 0, 0, 8, 0],
						    [4, 0, 8, 0, 0, 0, 0, 11, 0],
						    [0, 8, 0, 7, 0, 4, 0, 0, 2],
						    [0, 0, 7, 0, 9, 14, 0, 0, 0],
						    [0, 0, 0, 9, 0, 10, 0, 0, 0],
						    [0, 0, 4, 14, 10, 0, 2, 0, 0],
						    [0, 0, 0, 0, 0, 2, 0, 1, 6],
						    [8, 11, 0, 0, 0, 0, 1, 0, 7],
						    [0, 0, 2, 0, 0, 0, 6, 7, 0],
						]
						graph.dijkstra(0)



