






'''simple docstring'''




import sys
from typing import Tuple

import numpy as np
import torch
from PIL import Image
from torch import nn

from transformers.image_utils import PILImageResampling
from utils import img_tensorize







class    A_	:
							"""simple docstring"""




							def __init__(		self			:Dict       ,							lowerCAmelCase__			:Optional[Any]       ,							lowerCAmelCase__			:Union[str, Any]=sys.maxsize				)				->  List[Any]:


										'''simple docstring'''




										snake_case_				:					Union[str, Any]   =       "bilinear"
										snake_case_				:					str   =       max_size
										snake_case_				:					Union[str, Any]   =       short_edge_length






							def __call__(		self			:Tuple       ,							lowerCAmelCase__			:Any				)				->  int:


										'''simple docstring'''




										snake_case_				:					Dict   =       []
										for img in imgs:
													snake_case_,	snake_case_				:					Dict   =       img.shape[:2]
													# later: provide list and randomly choose index for resize
													snake_case_				:					List[str]   =       np.random.randint(self.short_edge_length[0]       ,							self.short_edge_length[1] + 1				)
													if size == 0:
																return img
													snake_case_				:					int   =       size * 1.0 / min(lowerCAmelCase__       ,							lowerCAmelCase__				)
													if h < w:
																snake_case_,	snake_case_				:					Optional[Any]   =       size, scale * w
													else:
																snake_case_,	snake_case_				:					int   =       scale * h, size
													if max(lowerCAmelCase__       ,							lowerCAmelCase__				) > self.max_size:
																snake_case_				:					str   =       self.max_size * 1.0 / max(lowerCAmelCase__       ,							lowerCAmelCase__				)
																snake_case_				:					Any   =       newh * scale
																snake_case_				:					Any   =       neww * scale
													snake_case_				:					Dict   =       int(neww + 0.5				)
													snake_case_				:					List[str]   =       int(newh + 0.5				)

													if img.dtype == np.uinta:
																snake_case_				:					Dict   =       Image.fromarray(lowerCAmelCase__				)
																snake_case_				:					List[Any]   =       pil_image.resize((neww, newh)       ,							PILImageResampling.BILINEAR				)
																snake_case_				:					List[Any]   =       np.asarray(lowerCAmelCase__				)
													else:
																snake_case_				:					List[Any]   =       img.permute(2       ,							0       ,							1				).unsqueeze(0				)  # 3, 0, 1)  # hw(c) -> nchw
																snake_case_				:					Optional[Any]   =       nn.functional.interpolate(
																    lowerCAmelCase__       ,							(newh, neww)       ,							mode=self.interp_method       ,							align_corners=lowerCAmelCase__				).squeeze(0				)
													img_augs.append(lowerCAmelCase__				)

										return img_augs







class    A_	:
							"""simple docstring"""




							def __init__(		self			:List[Any]       ,							lowerCAmelCase__			:Dict				)				->  int:


										'''simple docstring'''




										snake_case_				:					Dict   =       ResizeShortestEdge([cfg.INPUT.MIN_SIZE_TEST, cfg.INPUT.MIN_SIZE_TEST]       ,							cfg.INPUT.MAX_SIZE_TEST				)
										snake_case_				:					Optional[Any]   =       cfg.INPUT.FORMAT
										snake_case_				:					List[str]   =       cfg.SIZE_DIVISIBILITY
										snake_case_				:					Tuple   =       cfg.PAD_VALUE
										snake_case_				:					Tuple   =       cfg.INPUT.MAX_SIZE_TEST
										snake_case_				:					Any   =       cfg.MODEL.DEVICE
										snake_case_				:					Union[str, Any]   =       torch.tensor(cfg.MODEL.PIXEL_STD				).to(self.device				).view(len(cfg.MODEL.PIXEL_STD				)       ,							1       ,							1				)
										snake_case_				:					List[Any]   =       torch.tensor(cfg.MODEL.PIXEL_MEAN				).to(self.device				).view(len(cfg.MODEL.PIXEL_STD				)       ,							1       ,							1				)
										snake_case_				:					List[Any]   =       lambda lowerCAmelCase__				: (x - self.pixel_mean) / self.pixel_std

							def 							_A	(		self			:Optional[int]       ,							lowerCAmelCase__			:Any				)				->  int:


										'''simple docstring'''




										snake_case_				:					Union[str, Any]   =       tuple(max(lowerCAmelCase__				) for s in zip(*[img.shape for img in images]				)				)
										snake_case_				:					List[Any]   =       [im.shape[-2:] for im in images]
										snake_case_				:					Any   =       [
										    nn.functional.pad(
										        lowerCAmelCase__       ,							[0, max_size[-1] - size[1], 0, max_size[-2] - size[0]]       ,							value=self.pad_value       ,							)
										    for size, im in zip(lowerCAmelCase__       ,							lowerCAmelCase__				)
										]

										return torch.stack(lowerCAmelCase__				), torch.tensor(lowerCAmelCase__				)






							def __call__(		self			:Any       ,							lowerCAmelCase__			:Union[str, Any]       ,							lowerCAmelCase__			:Optional[Any]=False				)				->  Optional[int]:


										'''simple docstring'''




										with torch.no_grad():
													if not isinstance(lowerCAmelCase__       ,							lowerCAmelCase__				):
																snake_case_				:					Union[str, Any]   =       [images]
													if single_image:
																assert len(lowerCAmelCase__				) == 1
													for i in range(len(lowerCAmelCase__				)				):
																if isinstance(images[i]       ,							torch.Tensor				):
																			images.insert(lowerCAmelCase__       ,							images.pop(lowerCAmelCase__				).to(self.device				).float()				)
																elif not isinstance(images[i]       ,							torch.Tensor				):
																			images.insert(
																			    lowerCAmelCase__       ,							torch.as_tensor(img_tensorize(images.pop(lowerCAmelCase__				)       ,							input_format=self.input_format				)				)
																			    .to(self.device				)
																			    .float()       ,							)
            # resize smallest edge
													snake_case_				:					Optional[Any]   =       torch.tensor([im.shape[:2] for im in images]				)
													snake_case_				:					Any   =       self.aug(lowerCAmelCase__				)
													# transpose images and convert to torch tensors
													# images = [torch.as_tensor(i.astype("float32")).permute(2, 0, 1).to(self.device) for i in images]
													# now normalize before pad to avoid useless arithmetic
													snake_case_				:					str   =       [self.normalizer(lowerCAmelCase__				) for x in images]
													# now pad them to do the following operations
													snake_case_,	snake_case_				:					List[str]   =       self.pad(lowerCAmelCase__				)
													# Normalize

													if self.size_divisibility > 0:
																raise NotImplementedError()
													# pad
													snake_case_				:					List[Any]   =       torch.true_divide(lowerCAmelCase__       ,							lowerCAmelCase__				)
													if single_image:
																return images[0], sizes[0], scales_yx[0]
													else:
																return images, sizes, scales_yx

def 	__UpperCAmelCase       ( __magic_name__     ,__magic_name__						)->    str:



			"""simple docstring"""



			boxes[:, 0::2] *= scale_yx[:, 1]
			boxes[:, 1::2] *= scale_yx[:, 0]
			return boxes






def 	__UpperCAmelCase       ( __magic_name__     ,__magic_name__						)->    Dict:



			"""simple docstring"""



			assert torch.isfinite(__magic_name__						).all(), "Box tensor contains infinite or NaN!"
			snake_case_,	snake_case_				:					str   =       box_size
			tensor[:, 0].clamp_(min=0     ,max=__magic_name__						)
			tensor[:, 1].clamp_(min=0     ,max=__magic_name__						)
			tensor[:, 2].clamp_(min=0     ,max=__magic_name__						)
			tensor[:, 3].clamp_(min=0     ,max=__magic_name__						)












'''simple docstring'''




from collections import deque
from math import floor
from random import random
from time import time







class    A_	:
							"""simple docstring"""




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


										'''simple docstring'''




										snake_case_				:					int   =       {}

							def 							_A	(		self			:Any       ,							lowerCAmelCase__			:Optional[Any]       ,							lowerCAmelCase__			:Tuple       ,							lowerCAmelCase__			:Optional[Any]=1				)				->  Any:


										'''simple docstring'''




										if self.graph.get(lowerCAmelCase__				):
													if self.graph[u].count([w, v]				) == 0:
																self.graph[u].append([w, v]				)
										else:
													snake_case_				:					Optional[int]   =       [[w, v]]
										if not self.graph.get(lowerCAmelCase__				):
													snake_case_				:					Dict   =       []

							def 							_A	(		self			:List[Any]				)				->  Optional[int]:


										'''simple docstring'''




										return list(self.graph				)

							def 							_A	(		self			:str       ,							lowerCAmelCase__			:Any       ,							lowerCAmelCase__			:int				)				->  List[Any]:


										'''simple docstring'''




										if self.graph.get(lowerCAmelCase__				):
													for _ in self.graph[u]:
																if _[1] == v:
																			self.graph[u].remove(lowerCAmelCase__				)

							def 							_A	(		self			:List[str]       ,							lowerCAmelCase__			:Optional[Any]=-2       ,							lowerCAmelCase__			:str=-1				)				->  str:


										'''simple docstring'''




										if s == d:
													return []
										snake_case_				:					str   =       []
										snake_case_				:					Optional[int]   =       []
										if s == -2:
													snake_case_				:					List[Any]   =       list(self.graph				)[0]
										stack.append(lowerCAmelCase__				)
										visited.append(lowerCAmelCase__				)
										snake_case_				:					Dict   =       s

										while True:
													# check if there is any non isolated nodes
													if len(self.graph[s]				) != 0:
																snake_case_				:					str   =       s
																for node in self.graph[s]:
																			if visited.count(node[1]				) < 1:
																						if node[1] == d:
																									visited.append(lowerCAmelCase__				)
																									return visited
																						else:
																									stack.append(node[1]				)
																									visited.append(node[1]				)
																									snake_case_				:					str   =       node[1]
																									break

            # check if all the children are visited
													if s == ss:
																stack.pop()
																if len(lowerCAmelCase__				) != 0:
																			snake_case_				:					Union[str, Any]   =       stack[len(lowerCAmelCase__				) - 1]
													else:
																snake_case_				:					Optional[Any]   =       ss

													# check if se have reached the starting point
													if len(lowerCAmelCase__				) == 0:
																return visited

							def 							_A	(		self			:Tuple       ,							lowerCAmelCase__			:int=-1				)				->  int:


										'''simple docstring'''




										if c == -1:
													snake_case_				:					Any   =       floor(random() * 10_000				) + 10
										for i in range(lowerCAmelCase__				):
													# every vertex has max 100 edges
													for _ in range(floor(random() * 102				) + 1				):
																snake_case_				:					Optional[Any]   =       floor(random() * c				) + 1
																if n != i:
																			self.add_pair(lowerCAmelCase__       ,							lowerCAmelCase__       ,							1				)

							def 							_A	(		self			:Tuple       ,							lowerCAmelCase__			:Dict=-2				)				->  Dict:


										'''simple docstring'''




										snake_case_				:					Union[str, Any]   =       deque()
										snake_case_				:					Optional[Any]   =       []
										if s == -2:
													snake_case_				:					Tuple   =       list(self.graph				)[0]
										d.append(lowerCAmelCase__				)
										visited.append(lowerCAmelCase__				)
										while d:
													snake_case_				:					Optional[int]   =       d.popleft()
													if len(self.graph[s]				) != 0:
																for node in self.graph[s]:
																			if visited.count(node[1]				) < 1:
																						d.append(node[1]				)
																						visited.append(node[1]				)
										return visited

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


										'''simple docstring'''




										snake_case_				:					Tuple   =       0
										for x in self.graph:
													for y in self.graph[x]:
																if y[1] == u:
																			count += 1
										return count

							def 							_A	(		self			:Any       ,							lowerCAmelCase__			:int				)				->  Optional[Any]:


										'''simple docstring'''




										return len(self.graph[u]				)

							def 							_A	(		self			:Tuple       ,							lowerCAmelCase__			:List[str]=-2				)				->  Optional[Any]:


										'''simple docstring'''




										snake_case_				:					str   =       []
										snake_case_				:					str   =       []
										if s == -2:
													snake_case_				:					Optional[Any]   =       list(self.graph				)[0]
										stack.append(lowerCAmelCase__				)
										visited.append(lowerCAmelCase__				)
										snake_case_				:					int   =       s
										snake_case_				:					Optional[int]   =       []

										while True:
													# check if there is any non isolated nodes
													if len(self.graph[s]				) != 0:
																snake_case_				:					List[Any]   =       s
																for node in self.graph[s]:
																			if visited.count(node[1]				) < 1:
																						stack.append(node[1]				)
																						visited.append(node[1]				)
																						snake_case_				:					List[str]   =       node[1]
																						break

            # check if all the children are visited
													if s == ss:
																sorted_nodes.append(stack.pop()				)
																if len(lowerCAmelCase__				) != 0:
																			snake_case_				:					int   =       stack[len(lowerCAmelCase__				) - 1]
													else:
																snake_case_				:					Union[str, Any]   =       ss

													# check if se have reached the starting point
													if len(lowerCAmelCase__				) == 0:
																return sorted_nodes

							def 							_A	(		self			:Dict				)				->  Any:


										'''simple docstring'''




										snake_case_				:					Dict   =       []
										snake_case_				:					Any   =       []
										snake_case_				:					str   =       list(self.graph				)[0]
										stack.append(lowerCAmelCase__				)
										visited.append(lowerCAmelCase__				)
										snake_case_				:					Optional[int]   =       -2
										snake_case_				:					Any   =       []
										snake_case_				:					List[Any]   =       s
										snake_case_				:					int   =       False
										snake_case_				:					Optional[int]   =       set()

										while True:
													# check if there is any non isolated nodes
													if len(self.graph[s]				) != 0:
																snake_case_				:					List[Any]   =       s
																for node in self.graph[s]:
																			if (
																			    visited.count(node[1]				) > 0
																			    and node[1] != parent
																			    and indirect_parents.count(node[1]				) > 0
																			    and not on_the_way_back
																			):
																						snake_case_				:					Any   =       len(lowerCAmelCase__				) - 1
																						while len_stack >= 0:
																									if stack[len_stack] == node[1]:
																												anticipating_nodes.add(node[1]				)
																												break
																									else:
																												anticipating_nodes.add(stack[len_stack]				)
																												len_stack -= 1
																			if visited.count(node[1]				) < 1:
																						stack.append(node[1]				)
																						visited.append(node[1]				)
																						snake_case_				:					Optional[int]   =       node[1]
																						break

            # check if all the children are visited
													if s == ss:
																stack.pop()
																snake_case_				:					Optional[Any]   =       True
																if len(lowerCAmelCase__				) != 0:
																			snake_case_				:					Optional[Any]   =       stack[len(lowerCAmelCase__				) - 1]
													else:
																snake_case_				:					str   =       False
																indirect_parents.append(lowerCAmelCase__				)
																snake_case_				:					List[str]   =       s
																snake_case_				:					Optional[int]   =       ss

													# check if se have reached the starting point
													if len(lowerCAmelCase__				) == 0:
																return list(lowerCAmelCase__				)

							def 							_A	(		self			:Tuple				)				->  List[str]:


										'''simple docstring'''




										snake_case_				:					List[Any]   =       []
										snake_case_				:					Tuple   =       []
										snake_case_				:					List[str]   =       list(self.graph				)[0]
										stack.append(lowerCAmelCase__				)
										visited.append(lowerCAmelCase__				)
										snake_case_				:					str   =       -2
										snake_case_				:					List[str]   =       []
										snake_case_				:					List[Any]   =       s
										snake_case_				:					List[str]   =       False
										snake_case_				:					Dict   =       set()

										while True:
													# check if there is any non isolated nodes
													if len(self.graph[s]				) != 0:
																snake_case_				:					List[Any]   =       s
																for node in self.graph[s]:
																			if (
																			    visited.count(node[1]				) > 0
																			    and node[1] != parent
																			    and indirect_parents.count(node[1]				) > 0
																			    and not on_the_way_back
																			):
																						snake_case_				:					Any   =       len(lowerCAmelCase__				) - 1
																						while len_stack_minus_one >= 0:
																									if stack[len_stack_minus_one] == node[1]:
																												anticipating_nodes.add(node[1]				)
																												break
																									else:
																												return True
																			if visited.count(node[1]				) < 1:
																						stack.append(node[1]				)
																						visited.append(node[1]				)
																						snake_case_				:					str   =       node[1]
																						break

            # check if all the children are visited
													if s == ss:
																stack.pop()
																snake_case_				:					Tuple   =       True
																if len(lowerCAmelCase__				) != 0:
																			snake_case_				:					List[Any]   =       stack[len(lowerCAmelCase__				) - 1]
													else:
																snake_case_				:					Optional[int]   =       False
																indirect_parents.append(lowerCAmelCase__				)
																snake_case_				:					int   =       s
																snake_case_				:					Union[str, Any]   =       ss

													# check if se have reached the starting point
													if len(lowerCAmelCase__				) == 0:
																return False

							def 							_A	(		self			:Optional[int]       ,							lowerCAmelCase__			:Optional[int]=-2       ,							lowerCAmelCase__			:Tuple=-1				)				->  str:


										'''simple docstring'''




										snake_case_				:					Optional[int]   =       time()
										self.dfs(lowerCAmelCase__       ,							lowerCAmelCase__				)
										snake_case_				:					Optional[Any]   =       time()
										return end - begin






							def 							_A	(		self			:Any       ,							lowerCAmelCase__			:Tuple=-2				)				->  Optional[Any]:


										'''simple docstring'''




										snake_case_				:					Any   =       time()
										self.bfs(lowerCAmelCase__				)
										snake_case_				:					Any   =       time()
										return end - begin







class    A_	:
							"""simple docstring"""




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


										'''simple docstring'''




										snake_case_				:					Optional[Any]   =       {}

							def 							_A	(		self			:str       ,							lowerCAmelCase__			:Dict       ,							lowerCAmelCase__			:List[Any]       ,							lowerCAmelCase__			:Union[str, Any]=1				)				->  str:


										'''simple docstring'''




										if self.graph.get(lowerCAmelCase__				):
													# if there already is a edge
													if self.graph[u].count([w, v]				) == 0:
																self.graph[u].append([w, v]				)
										else:
													# if u does not exist
													snake_case_				:					str   =       [[w, v]]
										# add the other way
										if self.graph.get(lowerCAmelCase__				):
													# if there already is a edge
													if self.graph[v].count([w, u]				) == 0:
																self.graph[v].append([w, u]				)
										else:
													# if u does not exist
													snake_case_				:					List[str]   =       [[w, u]]

							def 							_A	(		self			:Dict       ,							lowerCAmelCase__			:Tuple       ,							lowerCAmelCase__			:Optional[Any]				)				->  Optional[Any]:


										'''simple docstring'''




										if self.graph.get(lowerCAmelCase__				):
													for _ in self.graph[u]:
																if _[1] == v:
																			self.graph[u].remove(lowerCAmelCase__				)
        # the other way round
										if self.graph.get(lowerCAmelCase__				):
													for _ in self.graph[v]:
																if _[1] == u:
																			self.graph[v].remove(lowerCAmelCase__				)

							def 							_A	(		self			:Optional[Any]       ,							lowerCAmelCase__			:Optional[Any]=-2       ,							lowerCAmelCase__			:Optional[int]=-1				)				->  int:


										'''simple docstring'''




										if s == d:
													return []
										snake_case_				:					Any   =       []
										snake_case_				:					Dict   =       []
										if s == -2:
													snake_case_				:					Optional[int]   =       list(self.graph				)[0]
										stack.append(lowerCAmelCase__				)
										visited.append(lowerCAmelCase__				)
										snake_case_				:					Tuple   =       s

										while True:
													# check if there is any non isolated nodes
													if len(self.graph[s]				) != 0:
																snake_case_				:					List[str]   =       s
																for node in self.graph[s]:
																			if visited.count(node[1]				) < 1:
																						if node[1] == d:
																									visited.append(lowerCAmelCase__				)
																									return visited
																						else:
																									stack.append(node[1]				)
																									visited.append(node[1]				)
																									snake_case_				:					str   =       node[1]
																									break

            # check if all the children are visited
													if s == ss:
																stack.pop()
																if len(lowerCAmelCase__				) != 0:
																			snake_case_				:					Optional[Any]   =       stack[len(lowerCAmelCase__				) - 1]
													else:
																snake_case_				:					str   =       ss

													# check if se have reached the starting point
													if len(lowerCAmelCase__				) == 0:
																return visited

							def 							_A	(		self			:Optional[int]       ,							lowerCAmelCase__			:str=-1				)				->  List[Any]:


										'''simple docstring'''




										if c == -1:
													snake_case_				:					Optional[int]   =       floor(random() * 10_000				) + 10
										for i in range(lowerCAmelCase__				):
													# every vertex has max 100 edges
													for _ in range(floor(random() * 102				) + 1				):
																snake_case_				:					str   =       floor(random() * c				) + 1
																if n != i:
																			self.add_pair(lowerCAmelCase__       ,							lowerCAmelCase__       ,							1				)

							def 							_A	(		self			:Any       ,							lowerCAmelCase__			:Optional[Any]=-2				)				->  List[Any]:


										'''simple docstring'''




										snake_case_				:					List[str]   =       deque()
										snake_case_				:					Optional[Any]   =       []
										if s == -2:
													snake_case_				:					List[Any]   =       list(self.graph				)[0]
										d.append(lowerCAmelCase__				)
										visited.append(lowerCAmelCase__				)
										while d:
													snake_case_				:					Optional[int]   =       d.popleft()
													if len(self.graph[s]				) != 0:
																for node in self.graph[s]:
																			if visited.count(node[1]				) < 1:
																						d.append(node[1]				)
																						visited.append(node[1]				)
										return visited

							def 							_A	(		self			:str       ,							lowerCAmelCase__			:Union[str, Any]				)				->  Optional[Any]:


										'''simple docstring'''




										return len(self.graph[u]				)

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


										'''simple docstring'''




										snake_case_				:					Any   =       []
										snake_case_				:					Optional[Any]   =       []
										snake_case_				:					Optional[Any]   =       list(self.graph				)[0]
										stack.append(lowerCAmelCase__				)
										visited.append(lowerCAmelCase__				)
										snake_case_				:					Tuple   =       -2
										snake_case_				:					Optional[int]   =       []
										snake_case_				:					Tuple   =       s
										snake_case_				:					Optional[Any]   =       False
										snake_case_				:					Optional[int]   =       set()

										while True:
													# check if there is any non isolated nodes
													if len(self.graph[s]				) != 0:
																snake_case_				:					Optional[Any]   =       s
																for node in self.graph[s]:
																			if (
																			    visited.count(node[1]				) > 0
																			    and node[1] != parent
																			    and indirect_parents.count(node[1]				) > 0
																			    and not on_the_way_back
																			):
																						snake_case_				:					Optional[int]   =       len(lowerCAmelCase__				) - 1
																						while len_stack >= 0:
																									if stack[len_stack] == node[1]:
																												anticipating_nodes.add(node[1]				)
																												break
																									else:
																												anticipating_nodes.add(stack[len_stack]				)
																												len_stack -= 1
																			if visited.count(node[1]				) < 1:
																						stack.append(node[1]				)
																						visited.append(node[1]				)
																						snake_case_				:					Tuple   =       node[1]
																						break

            # check if all the children are visited
													if s == ss:
																stack.pop()
																snake_case_				:					Optional[int]   =       True
																if len(lowerCAmelCase__				) != 0:
																			snake_case_				:					Optional[Any]   =       stack[len(lowerCAmelCase__				) - 1]
													else:
																snake_case_				:					Optional[int]   =       False
																indirect_parents.append(lowerCAmelCase__				)
																snake_case_				:					List[Any]   =       s
																snake_case_				:					Dict   =       ss

													# check if se have reached the starting point
													if len(lowerCAmelCase__				) == 0:
																return list(lowerCAmelCase__				)

							def 							_A	(		self			:Optional[Any]				)				->  Tuple:


										'''simple docstring'''




										snake_case_				:					Optional[Any]   =       []
										snake_case_				:					int   =       []
										snake_case_				:					List[str]   =       list(self.graph				)[0]
										stack.append(lowerCAmelCase__				)
										visited.append(lowerCAmelCase__				)
										snake_case_				:					Tuple   =       -2
										snake_case_				:					int   =       []
										snake_case_				:					int   =       s
										snake_case_				:					Optional[Any]   =       False
										snake_case_				:					List[Any]   =       set()

										while True:
													# check if there is any non isolated nodes
													if len(self.graph[s]				) != 0:
																snake_case_				:					Union[str, Any]   =       s
																for node in self.graph[s]:
																			if (
																			    visited.count(node[1]				) > 0
																			    and node[1] != parent
																			    and indirect_parents.count(node[1]				) > 0
																			    and not on_the_way_back
																			):
																						snake_case_				:					Tuple   =       len(lowerCAmelCase__				) - 1
																						while len_stack_minus_one >= 0:
																									if stack[len_stack_minus_one] == node[1]:
																												anticipating_nodes.add(node[1]				)
																												break
																									else:
																												return True
																			if visited.count(node[1]				) < 1:
																						stack.append(node[1]				)
																						visited.append(node[1]				)
																						snake_case_				:					Optional[Any]   =       node[1]
																						break

            # check if all the children are visited
													if s == ss:
																stack.pop()
																snake_case_				:					Optional[Any]   =       True
																if len(lowerCAmelCase__				) != 0:
																			snake_case_				:					Tuple   =       stack[len(lowerCAmelCase__				) - 1]
													else:
																snake_case_				:					Optional[int]   =       False
																indirect_parents.append(lowerCAmelCase__				)
																snake_case_				:					Union[str, Any]   =       s
																snake_case_				:					Tuple   =       ss

													# check if se have reached the starting point
													if len(lowerCAmelCase__				) == 0:
																return False

							def 							_A	(		self			:Any				)				->  Tuple:


										'''simple docstring'''




										return list(self.graph				)

							def 							_A	(		self			:Optional[Any]       ,							lowerCAmelCase__			:Tuple=-2       ,							lowerCAmelCase__			:Optional[int]=-1				)				->  str:


										'''simple docstring'''




										snake_case_				:					List[str]   =       time()
										self.dfs(lowerCAmelCase__       ,							lowerCAmelCase__				)
										snake_case_				:					List[Any]   =       time()
										return end - begin






							def 							_A	(		self			:Union[str, Any]       ,							lowerCAmelCase__			:List[Any]=-2				)				->  int:


										'''simple docstring'''




										snake_case_				:					List[str]   =       time()
										self.bfs(lowerCAmelCase__				)
										snake_case_				:					Tuple   =       time()
										return end - begin




