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







class 			__A:




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


								'''simple docstring'''




								__a										=    {}




				def 				SCREAMING_SNAKE_CASE_		(     self		,     _snake_case		,     _snake_case		,     _snake_case=1				)    ->      Optional[Any]:


								'''simple docstring'''




								if self.graph.get(_snake_case				):
												if self.graph[u].count([w, v]				) == 0:
																self.graph[u].append([w, v]				)
								else:
												__a										=    [[w, v]]
								if not self.graph.get(_snake_case				):
												__a										=    []




				def 				SCREAMING_SNAKE_CASE_		(     self				)    ->      str:


								'''simple docstring'''




								return list(self.graph				)




				def 				SCREAMING_SNAKE_CASE_		(     self		,     _snake_case		,     _snake_case				)    ->      Optional[int]:


								'''simple docstring'''




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




				def 				SCREAMING_SNAKE_CASE_		(     self		,     _snake_case=-2		,     _snake_case=-1				)    ->      Any:


								'''simple docstring'''




								if s == d:
												return []
								__a										=    []
								__a										=    []
								if s == -2:
												__a										=    list(self.graph				)[0]
								stack.append(_snake_case				)
								visited.append(_snake_case				)
								__a										=    s

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

            # check if all the children are visited
												if s == ss:
																stack.pop()
																if len(_snake_case				) != 0:
																				__a										=    stack[len(_snake_case				) - 1]
												else:
																__a										=    ss

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




				def 				SCREAMING_SNAKE_CASE_		(     self		,     _snake_case=-1				)    ->      List[Any]:


								'''simple docstring'''




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




				def 				SCREAMING_SNAKE_CASE_		(     self		,     _snake_case=-2				)    ->      Optional[Any]:


								'''simple docstring'''




								__a										=    deque()
								__a										=    []
								if s == -2:
												__a										=    list(self.graph				)[0]
								d.append(_snake_case				)
								visited.append(_snake_case				)
								while d:
												__a										=    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 				SCREAMING_SNAKE_CASE_		(     self		,     _snake_case				)    ->      Tuple:


								'''simple docstring'''




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




				def 				SCREAMING_SNAKE_CASE_		(     self		,     _snake_case				)    ->      str:


								'''simple docstring'''




								return len(self.graph[u]				)




				def 				SCREAMING_SNAKE_CASE_		(     self		,     _snake_case=-2				)    ->      Union[str, Any]:


								'''simple docstring'''




								__a										=    []
								__a										=    []
								if s == -2:
												__a										=    list(self.graph				)[0]
								stack.append(_snake_case				)
								visited.append(_snake_case				)
								__a										=    s
								__a										=    []

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

            # check if all the children are visited
												if s == ss:
																sorted_nodes.append(stack.pop()				)
																if len(_snake_case				) != 0:
																				__a										=    stack[len(_snake_case				) - 1]
												else:
																__a										=    ss

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




				def 				SCREAMING_SNAKE_CASE_		(     self				)    ->      List[str]:


								'''simple docstring'''




								__a										=    []
								__a										=    []
								__a										=    list(self.graph				)[0]
								stack.append(_snake_case				)
								visited.append(_snake_case				)
								__a										=    -2
								__a										=    []
								__a										=    s
								__a										=    False
								__a										=    set()

								while True:
												# check if there is any non isolated nodes
												if len(self.graph[s]				) != 0:
																__a										=    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
																				):
																								__a										=    len(_snake_case				) - 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]				)
																								__a										=    node[1]
																								break

            # check if all the children are visited
												if s == ss:
																stack.pop()
																__a										=    True
																if len(_snake_case				) != 0:
																				__a										=    stack[len(_snake_case				) - 1]
												else:
																__a										=    False
																indirect_parents.append(_snake_case				)
																__a										=    s
																__a										=    ss

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




				def 				SCREAMING_SNAKE_CASE_		(     self				)    ->      str:


								'''simple docstring'''




								__a										=    []
								__a										=    []
								__a										=    list(self.graph				)[0]
								stack.append(_snake_case				)
								visited.append(_snake_case				)
								__a										=    -2
								__a										=    []
								__a										=    s
								__a										=    False
								__a										=    set()

								while True:
												# check if there is any non isolated nodes
												if len(self.graph[s]				) != 0:
																__a										=    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
																				):
																								__a										=    len(_snake_case				) - 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]				)
																								__a										=    node[1]
																								break

            # check if all the children are visited
												if s == ss:
																stack.pop()
																__a										=    True
																if len(_snake_case				) != 0:
																				__a										=    stack[len(_snake_case				) - 1]
												else:
																__a										=    False
																indirect_parents.append(_snake_case				)
																__a										=    s
																__a										=    ss

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




				def 				SCREAMING_SNAKE_CASE_		(     self		,     _snake_case=-2		,     _snake_case=-1				)    ->      str:


								'''simple docstring'''




								__a										=    time()
								self.dfs(_snake_case		,     _snake_case				)
								__a										=    time()
								return end - begin




				def 				SCREAMING_SNAKE_CASE_		(     self		,     _snake_case=-2				)    ->      Union[str, Any]:


								'''simple docstring'''




								__a										=    time()
								self.bfs(_snake_case				)
								__a										=    time()
								return end - begin







class 			__A:




				def __init__(     self				)    ->      int:


								'''simple docstring'''




								__a										=    {}




				def 				SCREAMING_SNAKE_CASE_		(     self		,     _snake_case		,     _snake_case		,     _snake_case=1				)    ->      Optional[int]:


								'''simple docstring'''




								if self.graph.get(_snake_case				):
												# 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
												__a										=    [[w, v]]
								# add the other way
								if self.graph.get(_snake_case				):
												# 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
												__a										=    [[w, u]]




				def 				SCREAMING_SNAKE_CASE_		(     self		,     _snake_case		,     _snake_case				)    ->      int:


								'''simple docstring'''




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




				def 				SCREAMING_SNAKE_CASE_		(     self		,     _snake_case=-2		,     _snake_case=-1				)    ->      Union[str, Any]:


								'''simple docstring'''




								if s == d:
												return []
								__a										=    []
								__a										=    []
								if s == -2:
												__a										=    list(self.graph				)[0]
								stack.append(_snake_case				)
								visited.append(_snake_case				)
								__a										=    s

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

            # check if all the children are visited
												if s == ss:
																stack.pop()
																if len(_snake_case				) != 0:
																				__a										=    stack[len(_snake_case				) - 1]
												else:
																__a										=    ss

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




				def 				SCREAMING_SNAKE_CASE_		(     self		,     _snake_case=-1				)    ->      List[Any]:


								'''simple docstring'''




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




				def 				SCREAMING_SNAKE_CASE_		(     self		,     _snake_case=-2				)    ->      str:


								'''simple docstring'''




								__a										=    deque()
								__a										=    []
								if s == -2:
												__a										=    list(self.graph				)[0]
								d.append(_snake_case				)
								visited.append(_snake_case				)
								while d:
												__a										=    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 				SCREAMING_SNAKE_CASE_		(     self		,     _snake_case				)    ->      Optional[int]:


								'''simple docstring'''




								return len(self.graph[u]				)




				def 				SCREAMING_SNAKE_CASE_		(     self				)    ->      Tuple:


								'''simple docstring'''




								__a										=    []
								__a										=    []
								__a										=    list(self.graph				)[0]
								stack.append(_snake_case				)
								visited.append(_snake_case				)
								__a										=    -2
								__a										=    []
								__a										=    s
								__a										=    False
								__a										=    set()

								while True:
												# check if there is any non isolated nodes
												if len(self.graph[s]				) != 0:
																__a										=    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
																				):
																								__a										=    len(_snake_case				) - 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]				)
																								__a										=    node[1]
																								break

            # check if all the children are visited
												if s == ss:
																stack.pop()
																__a										=    True
																if len(_snake_case				) != 0:
																				__a										=    stack[len(_snake_case				) - 1]
												else:
																__a										=    False
																indirect_parents.append(_snake_case				)
																__a										=    s
																__a										=    ss

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




				def 				SCREAMING_SNAKE_CASE_		(     self				)    ->      str:


								'''simple docstring'''




								__a										=    []
								__a										=    []
								__a										=    list(self.graph				)[0]
								stack.append(_snake_case				)
								visited.append(_snake_case				)
								__a										=    -2
								__a										=    []
								__a										=    s
								__a										=    False
								__a										=    set()

								while True:
												# check if there is any non isolated nodes
												if len(self.graph[s]				) != 0:
																__a										=    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
																				):
																								__a										=    len(_snake_case				) - 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]				)
																								__a										=    node[1]
																								break

            # check if all the children are visited
												if s == ss:
																stack.pop()
																__a										=    True
																if len(_snake_case				) != 0:
																				__a										=    stack[len(_snake_case				) - 1]
												else:
																__a										=    False
																indirect_parents.append(_snake_case				)
																__a										=    s
																__a										=    ss

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




				def 				SCREAMING_SNAKE_CASE_		(     self				)    ->      Any:


								'''simple docstring'''




								return list(self.graph				)




				def 				SCREAMING_SNAKE_CASE_		(     self		,     _snake_case=-2		,     _snake_case=-1				)    ->      int:


								'''simple docstring'''




								__a										=    time()
								self.dfs(_snake_case		,     _snake_case				)
								__a										=    time()
								return end - begin




				def 				SCREAMING_SNAKE_CASE_		(     self		,     _snake_case=-2				)    ->      Tuple:


								'''simple docstring'''




								__a										=    time()
								self.bfs(_snake_case				)
								__a										=    time()
								return end - begin

from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_flax_available,
    is_tf_available,
    is_tokenizers_available,
    is_torch_available,
)


A     :	str    = {
    'configuration_blenderbot': [
        'BLENDERBOT_PRETRAINED_CONFIG_ARCHIVE_MAP',
        'BlenderbotConfig',
        'BlenderbotOnnxConfig',
    ],
    'tokenization_blenderbot': ['BlenderbotTokenizer'],
}

try:
					if not is_tokenizers_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					A     :	Optional[Any]    = ['BlenderbotTokenizerFast']

try:
					if not is_torch_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					A     :	Optional[Any]    = [
					    'BLENDERBOT_PRETRAINED_MODEL_ARCHIVE_LIST',
					    'BlenderbotForCausalLM',
					    'BlenderbotForConditionalGeneration',
					    'BlenderbotModel',
					    'BlenderbotPreTrainedModel',
					]


try:
					if not is_tf_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					A     :	Dict    = [
					    'TFBlenderbotForConditionalGeneration',
					    'TFBlenderbotModel',
					    'TFBlenderbotPreTrainedModel',
					]


try:
					if not is_flax_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					A     :	Dict    = [
					    'FlaxBlenderbotForConditionalGeneration',
					    'FlaxBlenderbotModel',
					    'FlaxBlenderbotPreTrainedModel',
					]


if TYPE_CHECKING:
					from .configuration_blenderbot import (
					    BLENDERBOT_PRETRAINED_CONFIG_ARCHIVE_MAP,
					    BlenderbotConfig,
					    BlenderbotOnnxConfig,
					)
					from .tokenization_blenderbot import BlenderbotTokenizer

					try:
										if not is_tokenizers_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .tokenization_blenderbot_fast import BlenderbotTokenizerFast

					try:
										if not is_torch_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .modeling_blenderbot import (
										    BLENDERBOT_PRETRAINED_MODEL_ARCHIVE_LIST,
										    BlenderbotForCausalLM,
										    BlenderbotForConditionalGeneration,
										    BlenderbotModel,
										    BlenderbotPreTrainedModel,
										)

					try:
										if not is_tf_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .modeling_tf_blenderbot import (
										    TFBlenderbotForConditionalGeneration,
										    TFBlenderbotModel,
										    TFBlenderbotPreTrainedModel,
										)

					try:
										if not is_flax_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .modeling_flax_blenderbot import (
										    FlaxBlenderbotForConditionalGeneration,
										    FlaxBlenderbotModel,
										    FlaxBlenderbotPreTrainedModel,
										)

else:
					import sys

					A     :	List[Any]    = _LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)