



"""simple docstring"""







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






class      UpperCAmelCase__		:



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






									'''simple docstring'''

									A         =					{}



		def 					A_		( self  :    int      ,							snake_case  :    int      ,							snake_case  :    str      ,							snake_case  :    Tuple=1				)			->						List[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 					A_		( self  :    Any				)			->						Tuple:






									'''simple docstring'''

									return list(self.graph				)



		def 					A_		( self  :    List[Any]      ,							snake_case  :    Union[str, Any]      ,							snake_case  :    Optional[int]				)			->						Optional[Any]:






									'''simple docstring'''

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



		def 					A_		( self  :    str      ,							snake_case  :    Any=-2      ,							snake_case  :    str=-1				)			->						List[str]:






									'''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 					A_		( self  :    str      ,							snake_case  :    List[str]=-1				)			->						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 					A_		( self  :    Tuple      ,							snake_case  :    Optional[Any]=-2				)			->						Optional[int]:






									'''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 					A_		( self  :    Any      ,							snake_case  :    Tuple				)			->						List[Any]:






									'''simple docstring'''

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



		def 					A_		( self  :    Optional[Any]      ,							snake_case  :    Dict				)			->						Dict:






									'''simple docstring'''

									return len(self.graph[u]				)



		def 					A_		( self  :    List[Any]      ,							snake_case  :    str=-2				)			->						int:






									'''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 					A_		( self  :    List[Any]				)			->						Any:






									'''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 					A_		( self  :    Dict				)			->						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_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 					A_		( self  :    Optional[Any]      ,							snake_case  :    Union[str, Any]=-2      ,							snake_case  :    Dict=-1				)			->						List[Any]:






									'''simple docstring'''

									A         =					time()
									self.dfs(snake_case      ,							snake_case				)
									A         =					time()
									return end - begin



		def 					A_		( self  :    str      ,							snake_case  :    Union[str, Any]=-2				)			->						int:






									'''simple docstring'''

									A         =					time()
									self.bfs(snake_case				)
									A         =					time()
									return end - begin






class      UpperCAmelCase__		:



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






									'''simple docstring'''

									A         =					{}



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






									'''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 					A_		( self  :    Optional[Any]      ,							snake_case  :    Optional[int]      ,							snake_case  :    Any				)			->						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 					A_		( self  :    int      ,							snake_case  :    List[Any]=-2      ,							snake_case  :    List[Any]=-1				)			->						Optional[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 					A_		( self  :    Dict      ,							snake_case  :    Any=-1				)			->						Union[str, 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 					A_		( self  :    List[str]      ,							snake_case  :    Optional[Any]=-2				)			->						Union[str, 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 					A_		( self  :    List[str]      ,							snake_case  :    int				)			->						Any:






									'''simple docstring'''

									return len(self.graph[u]				)



		def 					A_		( self  :    str				)			->						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 					A_		( self  :    int				)			->						Any:






									'''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 					A_		( self  :    List[Any]				)			->						Any:






									'''simple docstring'''

									return list(self.graph				)



		def 					A_		( self  :    Optional[int]      ,							snake_case  :    List[str]=-2      ,							snake_case  :    Any=-1				)			->						Any:






									'''simple docstring'''

									A         =					time()
									self.dfs(snake_case      ,							snake_case				)
									A         =					time()
									return end - begin



		def 					A_		( self  :    List[str]      ,							snake_case  :    Dict=-2				)			->						Union[str, Any]:






									'''simple docstring'''

									A         =					time()
									self.bfs(snake_case				)
									A         =					time()
									return end - begin








"""simple docstring"""







from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_sentencepiece_available,
    is_tokenizers_available,
    is_torch_available,
)


A    =			{'configuration_plbart': ['PLBART_PRETRAINED_CONFIG_ARCHIVE_MAP', 'PLBartConfig']}

try:
							if not is_sentencepiece_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							A    =			['PLBartTokenizer']

try:
							if not is_torch_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							A    =			[
							    'PLBART_PRETRAINED_MODEL_ARCHIVE_LIST',
							    'PLBartForCausalLM',
							    'PLBartForConditionalGeneration',
							    'PLBartForSequenceClassification',
							    'PLBartModel',
							    'PLBartPreTrainedModel',
							]


if TYPE_CHECKING:
							from .configuration_plbart import PLBART_PRETRAINED_CONFIG_ARCHIVE_MAP, PLBartConfig

							try:
														if not is_sentencepiece_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .tokenization_plbart import PLBartTokenizer

							try:
														if not is_torch_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .modeling_plbart import (
														    PLBART_PRETRAINED_MODEL_ARCHIVE_LIST,
														    PLBartForCausalLM,
														    PLBartForConditionalGeneration,
														    PLBartForSequenceClassification,
														    PLBartModel,
														    PLBartPreTrainedModel,
														)


else:
							import sys

							A    =			_LazyModule(__name__, globals()['__file__'], _import_structure)



