code: def 							_lowerCamelCase(				__snake_case						,						__snake_case	)  ->   list[tuple[int, int, int]]:
  		__snake_case		       =     sorted(__snake_case						,						key=lambda __snake_case	: edge[2]	)
  
  		__snake_case		       =     list(range(__snake_case	)	)
  
  		def find_parent(__snake_case	):
  				if i != parent[i]:
  						__snake_case		       =     find_parent(parent[i]	)
  				return parent[i]
  
  		__snake_case		       =     0
  		__snake_case		       =     []
  
  		for edge in edges:
  				__snake_case		       =     find_parent(edge[0]	)
  				__snake_case		       =     find_parent(edge[1]	)
  				if parent_a != parent_b:
  						minimum_spanning_tree_cost += edge[2]
  						minimum_spanning_tree.append(__snake_case	)
  						__snake_case		       =     parent_b
  
  		return minimum_spanning_tree
  
  
  if __name__ == "__main__":  # pragma: no cover
  		lowerCamelCase__    ,     lowerCamelCase__           =				list(map(int, input().strip().split()))
  		lowerCamelCase__           =				[]
  
  		for _ in range(num_edges):
  				lowerCamelCase__    ,     lowerCamelCase__    ,     lowerCamelCase__           =				(int(x) for x in input().strip().split())
  				edges.append((nodea, nodea, cost))
  
  		kruskal(num_nodes, edges)
  
  
  
  
  
  
style_context: import math
  from dataclasses import dataclass
  from typing import List, Optional, Union
  
  import numpy as np
  import PIL
  import torch
  from transformers import CLIPTextModelWithProjection, CLIPTokenizer
  
  from ...models import PriorTransformer
  from ...pipelines import DiffusionPipeline
  from ...schedulers import HeunDiscreteScheduler
  from ...utils import (
      BaseOutput,
      is_accelerate_available,
      is_accelerate_version,
      logging,
      randn_tensor,
      replace_example_docstring,
  )
  from .renderer import ShapERenderer
  
  
  lowerCamelCase__           =				logging.get_logger(__name__)  # pylint: disable=invalid-name
  
  lowerCamelCase__           =				'\n    Examples:\n        ```py\n        >>> import torch\n        >>> from diffusers import DiffusionPipeline\n        >>> from diffusers.utils import export_to_gif\n\n        >>> device = torch.device("cuda" if torch.cuda.is_available() else "cpu")\n\n        >>> repo = "openai/shap-e"\n        >>> pipe = DiffusionPipeline.from_pretrained(repo, torch_dtype=torch.float16)\n        >>> pipe = pipe.to(device)\n\n        >>> guidance_scale = 15.0\n        >>> prompt = "a shark"\n\n        >>> images = pipe(\n        ...     prompt,\n        ...     guidance_scale=guidance_scale,\n        ...     num_inference_steps=64,\n        ...     frame_size=256,\n        ... ).images\n\n        >>> gif_path = export_to_gif(images[0], "shark_3d.gif")\n        ```\n'
  
  
  
  
  @dataclass
  class 					UpperCamelCase	(     snake_case__      ):
  					__UpperCamelCase						=   42
  
  
  
  
  class 					UpperCamelCase	(     snake_case__      ):
  
  
  
  
  					def __init__( self :					int      ,_lowerCAmelCase :					PriorTransformer      ,_lowerCAmelCase :					CLIPTextModelWithProjection      ,_lowerCAmelCase :					CLIPTokenizer      ,_lowerCAmelCase :					HeunDiscreteScheduler      ,_lowerCAmelCase :					ShapERenderer      ,):
  
  
  							"""simple docstring"""
  
  
  
  
  							super().__init__()
  
  							self.register_modules(
  							    prior=_lowerCAmelCase      ,text_encoder=_lowerCAmelCase      ,tokenizer=_lowerCAmelCase      ,scheduler=_lowerCAmelCase      ,renderer=_lowerCAmelCase      ,)
  
  
  
  
  					def 							UpperCamelCase_						( self :					Union[str, Any]      ,_lowerCAmelCase :					List[Any]      ,_lowerCAmelCase :					List[str]      ,_lowerCAmelCase :					List[str]      ,_lowerCAmelCase :					Tuple      ,_lowerCAmelCase :					Union[str, Any]      ,_lowerCAmelCase :					Optional[int]						):
  
  
  							"""simple docstring"""
  
  
  
  
  							if latents is None:
  									__snake_case		       =     randn_tensor(_lowerCAmelCase      ,generator=_lowerCAmelCase      ,device=_lowerCAmelCase      ,dtype=_lowerCAmelCase						)
  							else:
  									if latents.shape != shape:
  											raise ValueError(F"""Unexpected latents shape, got {latents.shape}, expected {shape}"""						)
  									__snake_case		       =     latents.to(_lowerCAmelCase						)
  
  							__snake_case		       =     latents * scheduler.init_noise_sigma
  							return latents
  
  
  
  
  					def 							UpperCamelCase_						( self :					str      ,_lowerCAmelCase :					Optional[Any]=0						):
  
  
  							"""simple docstring"""
  
  
  
  
  							if is_accelerate_available():
  									from accelerate import cpu_offload
  							else:
  									raise ImportError("Please install accelerate via `pip install accelerate`"						)
  
  							__snake_case		       =     torch.device(F"""cuda:{gpu_id}"""						)
  
  							__snake_case		       =     [self.text_encoder, self.prior]
  							for cpu_offloaded_model in models:
  									if cpu_offloaded_model is not None:
  											cpu_offload(_lowerCAmelCase      ,_lowerCAmelCase						)
  
  
  
  
  					def 							UpperCamelCase_						( self :					Optional[int]      ,_lowerCAmelCase :					List[str]=0						):
  
  
  							"""simple docstring"""
  
  
  
  
  							if is_accelerate_available() and is_accelerate_version(">="      ,"0.17.0.dev0"						):
  									from accelerate import cpu_offload_with_hook
  							else:
  									raise ImportError("`enable_model_cpu_offload` requires `accelerate v0.17.0` or higher."						)
  
  							__snake_case		       =     torch.device(F"""cuda:{gpu_id}"""						)
  
  							if self.device.type != "cpu":
  									self.to("cpu"      ,silence_dtype_warnings=_lowerCAmelCase						)
  									torch.cuda.empty_cache()  # otherwise we don't see the memory savings (but they probably exist)
  
  							__snake_case		       =     None
  							for cpu_offloaded_model in [self.text_encoder, self.prior, self.renderer]:
  									__snake_case       ,       __snake_case		       =     cpu_offload_with_hook(_lowerCAmelCase      ,_lowerCAmelCase      ,prev_module_hook=_lowerCAmelCase						)
  
  							if self.safety_checker is not None:
  									__snake_case       ,       __snake_case		       =     cpu_offload_with_hook(self.safety_checker      ,_lowerCAmelCase      ,prev_module_hook=_lowerCAmelCase						)
  
  							# We'll offload the last model manually.
  							__snake_case		       =     hook
  
  
  
  
  					@property
  					def 							UpperCamelCase_						( self :					Optional[int]						):
  
  
  							"""simple docstring"""
  
  
  
  
  							if self.device != torch.device("meta"						) or not hasattr(self.text_encoder      ,"_hf_hook"						):
  									return self.device
  							for module in self.text_encoder.modules():
  									if (
  									    hasattr(_lowerCAmelCase      ,"_hf_hook"						)
  									    and hasattr(module._hf_hook      ,"execution_device"						)
  									    and module._hf_hook.execution_device is not None
  									):
  											return torch.device(module._hf_hook.execution_device						)
  							return self.device
  
  
  
  
  					def 							UpperCamelCase_						( self :					Optional[Any]      ,_lowerCAmelCase :					Dict      ,_lowerCAmelCase :					int      ,_lowerCAmelCase :					int      ,_lowerCAmelCase :					List[Any]      ,):
  
  
  							"""simple docstring"""
  
  
  
  
  							len(_lowerCAmelCase						) if isinstance(_lowerCAmelCase      ,_lowerCAmelCase						) else 1
  
  							# YiYi Notes: set pad_token_id to be 0, not sure why I can't set in the config file
  							__snake_case		       =     0
  							# get prompt text embeddings
  							__snake_case		       =     self.tokenizer(
  							    _lowerCAmelCase      ,padding="max_length"      ,max_length=self.tokenizer.model_max_length      ,truncation=_lowerCAmelCase      ,return_tensors="pt"      ,)
  							__snake_case		       =     text_inputs.input_ids
  							__snake_case		       =     self.tokenizer(_lowerCAmelCase      ,padding="longest"      ,return_tensors="pt"						).input_ids
  
  							if untruncated_ids.shape[-1] >= text_input_ids.shape[-1] and not torch.equal(_lowerCAmelCase      ,_lowerCAmelCase						):
  									__snake_case		       =     self.tokenizer.batch_decode(untruncated_ids[:, self.tokenizer.model_max_length - 1 : -1]						)
  									logger.warning(
  									    "The following part of your input was truncated because CLIP can only handle sequences up to"
  									    F""" {self.tokenizer.model_max_length} tokens: {removed_text}"""						)
  
  							__snake_case		       =     self.text_encoder(text_input_ids.to(_lowerCAmelCase						)						)
  							__snake_case		       =     text_encoder_output.text_embeds
  
  							__snake_case		       =     prompt_embeds.repeat_interleave(_lowerCAmelCase      ,dim=0						)
  							# in Shap-E it normalize the prompt_embeds and then later rescale it
  							__snake_case		       =     prompt_embeds / torch.linalg.norm(_lowerCAmelCase      ,dim=-1      ,keepdim=_lowerCAmelCase						)
  
  							if do_classifier_free_guidance:
  									__snake_case		       =     torch.zeros_like(_lowerCAmelCase						)
  
  									# For classifier free guidance, we need to do two forward passes.
  									# Here we concatenate the unconditional and text embeddings into a single batch
  									# to avoid doing two forward passes
  									__snake_case		       =     torch.cat([negative_prompt_embeds, prompt_embeds]						)
  
  							# Rescale the features to have unit variance
  							__snake_case		       =     math.sqrt(prompt_embeds.shape[1]						) * prompt_embeds
  
  							return prompt_embeds
  
  
  
  
  
  
  
  					@torch.no_grad()
  					@replace_example_docstring(_lowerCAmelCase						)
  					def __call__( self :					int      ,_lowerCAmelCase :					str      ,_lowerCAmelCase :					int = 1      ,_lowerCAmelCase :					int = 25      ,_lowerCAmelCase :					Optional[Union[torch.Generator, List[torch.Generator]]] = None      ,_lowerCAmelCase :					Optional[torch.FloatTensor] = None      ,_lowerCAmelCase :					float = 4.0      ,_lowerCAmelCase :					int = 64      ,_lowerCAmelCase :					Optional[str] = "pil"      ,_lowerCAmelCase :					bool = True      ,):
  
  
  							"""simple docstring"""
  
  
  
  
  							if isinstance(_lowerCAmelCase      ,_lowerCAmelCase						):
  									__snake_case		       =     1
  							elif isinstance(_lowerCAmelCase      ,_lowerCAmelCase						):
  									__snake_case		       =     len(_lowerCAmelCase						)
  							else:
  									raise ValueError(F"""`prompt` has to be of type `str` or `list` but is {type(_lowerCAmelCase						)}"""						)
  
  							__snake_case		       =     self._execution_device
  
  							__snake_case		       =     batch_size * num_images_per_prompt
  
  							__snake_case		       =     guidance_scale > 1.0
  							__snake_case		       =     self._encode_prompt(_lowerCAmelCase      ,_lowerCAmelCase      ,_lowerCAmelCase      ,_lowerCAmelCase						)
  
  							# prior
  
  							self.scheduler.set_timesteps(_lowerCAmelCase      ,device=_lowerCAmelCase						)
  							__snake_case		       =     self.scheduler.timesteps
  
  							__snake_case		       =     self.prior.config.num_embeddings
  							__snake_case		       =     self.prior.config.embedding_dim
  
  							__snake_case		       =     self.prepare_latents(
  							    (batch_size, num_embeddings * embedding_dim)      ,prompt_embeds.dtype      ,_lowerCAmelCase      ,_lowerCAmelCase      ,_lowerCAmelCase      ,self.scheduler      ,)
  
  							# YiYi notes: for testing only to match ldm, we can directly create a latents with desired shape: batch_size, num_embeddings, embedding_dim
  							__snake_case		       =     latents.reshape(latents.shape[0]      ,_lowerCAmelCase      ,_lowerCAmelCase						)
  
  							for i, t in enumerate(self.progress_bar(_lowerCAmelCase						)						):
  									# expand the latents if we are doing classifier free guidance
  									__snake_case		       =     torch.cat([latents] * 2						) if do_classifier_free_guidance else latents
  									__snake_case		       =     self.scheduler.scale_model_input(_lowerCAmelCase      ,_lowerCAmelCase						)
  
  									__snake_case		       =     self.prior(
  									    _lowerCAmelCase      ,timestep=_lowerCAmelCase      ,proj_embedding=_lowerCAmelCase      ,).predicted_image_embedding
  
  									# remove the variance
  									__snake_case       ,       __snake_case		       =     noise_pred.split(
  									    scaled_model_input.shape[2]      ,dim=2						)  # batch_size, num_embeddings, embedding_dim
  
  									if do_classifier_free_guidance is not None:
  											__snake_case       ,       __snake_case		       =     noise_pred.chunk(2						)
  											__snake_case		       =     noise_pred_uncond + guidance_scale * (noise_pred - noise_pred_uncond)
  
  									__snake_case		       =     self.scheduler.step(
  									    _lowerCAmelCase      ,timestep=_lowerCAmelCase      ,sample=_lowerCAmelCase      ,).prev_sample
  
  							if output_type == "latent":
  									return ShapEPipelineOutput(images=_lowerCAmelCase						)
  
  							__snake_case		       =     []
  							for i, latent in enumerate(_lowerCAmelCase						):
  									__snake_case		       =     self.renderer.decode(
  									    latent[None, :]      ,_lowerCAmelCase      ,size=_lowerCAmelCase      ,ray_batch_size=4_096      ,n_coarse_samples=64      ,n_fine_samples=128      ,)
  									images.append(_lowerCAmelCase						)
  
  							__snake_case		       =     torch.stack(_lowerCAmelCase						)
  
  							if output_type not in ["np", "pil"]:
  									raise ValueError(F"""Only the output types `pil` and `np` are supported not output_type={output_type}"""						)
  
  							__snake_case		       =     images.cpu().numpy()
  
  							if output_type == "pil":
  									__snake_case		       =     [self.numpy_to_pil(_lowerCAmelCase						) for image in images]
  
  							# Offload last model to CPU
  							if hasattr(self      ,"final_offload_hook"						) and self.final_offload_hook is not None:
  									self.final_offload_hook.offload()
  
  							if not return_dict:
  									return (images,)
  
  							return ShapEPipelineOutput(images=_lowerCAmelCase						)
  
  
  
  
  
  