

'''simple docstring'''
from collections import deque
from math import floor
from random import random
from time import time







class 							A__   :





  def __init__(		self				:     Any			)     ->   int:





       '''simple docstring'''






       _SCREAMING_SNAKE_CASE							   ={}





  def 						A  (		self				:     Any							, _a				:     Tuple							, _a				:     List[Any]							, _a				:     Dict=1			)     ->   str:





       '''simple docstring'''






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





  def 						A  (		self				:     Any			)     ->   Dict:





       '''simple docstring'''






       return list(self.graph			)





  def 						A  (		self				:     List[str]							, _a				:     int							, _a				:     int			)     ->   List[str]:





       '''simple docstring'''






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





  def 						A  (		self				:     Optional[int]							, _a				:     Union[str, Any]=-2							, _a				:     Union[str, Any]=-1			)     ->   str:





       '''simple docstring'''






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

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

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

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





  def 						A  (		self				:     List[Any]							, _a				:     Any=-1			)     ->   int:





       '''simple docstring'''






       if c == -1:
            _SCREAMING_SNAKE_CASE							   =floor(random() * 1_0000			) + 10
       for i in range(UpperCamelCase_			):
            # every vertex has max 100 edges
            for _ in range(floor(random() * 102			) + 1			):
                 _SCREAMING_SNAKE_CASE							   =floor(random() * c			) + 1
                 if n != i:
                      self.add_pair(UpperCamelCase_							, UpperCamelCase_							, 1			)





  def 						A  (		self				:     Tuple							, _a				:     Dict=-2			)     ->   int:





       '''simple docstring'''






       _SCREAMING_SNAKE_CASE							   =deque()
       _SCREAMING_SNAKE_CASE							   =[]
       if s == -2:
            _SCREAMING_SNAKE_CASE							   =list(self.graph			)[0]
       d.append(UpperCamelCase_			)
       visited.append(UpperCamelCase_			)
       while d:
            _SCREAMING_SNAKE_CASE							   =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				:     int							, _a				:     Union[str, Any]			)     ->   Optional[Any]:





       '''simple docstring'''






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





  def 						A  (		self				:     int							, _a				:     Any			)     ->   Any:





       '''simple docstring'''






       return len(self.graph[u]			)





  def 						A  (		self				:     Any							, _a				:     Any=-2			)     ->   Union[str, Any]:





       '''simple docstring'''






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

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

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

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





  def 						A  (		self				:     str			)     ->   Any:





       '''simple docstring'''






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

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

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

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





  def 						A  (		self				:     List[Any]			)     ->   str:





       '''simple docstring'''






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

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

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

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





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





       '''simple docstring'''






       _SCREAMING_SNAKE_CASE							   =time()
       self.dfs(UpperCamelCase_							, UpperCamelCase_			)
       _SCREAMING_SNAKE_CASE							   =time()
       return end - begin





  def 						A  (		self				:     str							, _a				:     List[str]=-2			)     ->   Dict:





       '''simple docstring'''






       _SCREAMING_SNAKE_CASE							   =time()
       self.bfs(UpperCamelCase_			)
       _SCREAMING_SNAKE_CASE							   =time()
       return end - begin







class 							A__   :





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





       '''simple docstring'''






       _SCREAMING_SNAKE_CASE							   ={}





  def 						A  (		self				:     Any							, _a				:     Optional[Any]							, _a				:     List[Any]							, _a				:     Union[str, Any]=1			)     ->   Dict:





       '''simple docstring'''






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





  def 						A  (		self				:     Optional[Any]							, _a				:     List[Any]							, _a				:     Dict			)     ->   Any:





       '''simple docstring'''






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





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





       '''simple docstring'''






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

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

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

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





  def 						A  (		self				:     List[str]							, _a				:     str=-1			)     ->   Tuple:





       '''simple docstring'''






       if c == -1:
            _SCREAMING_SNAKE_CASE							   =floor(random() * 1_0000			) + 10
       for i in range(UpperCamelCase_			):
            # every vertex has max 100 edges
            for _ in range(floor(random() * 102			) + 1			):
                 _SCREAMING_SNAKE_CASE							   =floor(random() * c			) + 1
                 if n != i:
                      self.add_pair(UpperCamelCase_							, UpperCamelCase_							, 1			)





  def 						A  (		self				:     Optional[Any]							, _a				:     Any=-2			)     ->   str:





       '''simple docstring'''






       _SCREAMING_SNAKE_CASE							   =deque()
       _SCREAMING_SNAKE_CASE							   =[]
       if s == -2:
            _SCREAMING_SNAKE_CASE							   =list(self.graph			)[0]
       d.append(UpperCamelCase_			)
       visited.append(UpperCamelCase_			)
       while d:
            _SCREAMING_SNAKE_CASE							   =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				:     Optional[int]							, _a				:     Optional[Any]			)     ->   List[str]:





       '''simple docstring'''






       return len(self.graph[u]			)





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





       '''simple docstring'''






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

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

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

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





  def 						A  (		self				:     Optional[int]			)     ->   Tuple:





       '''simple docstring'''






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

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

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

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





  def 						A  (		self				:     Dict			)     ->   int:





       '''simple docstring'''






       return list(self.graph			)





  def 						A  (		self				:     int							, _a				:     Union[str, Any]=-2							, _a				:     Dict=-1			)     ->   Dict:





       '''simple docstring'''






       _SCREAMING_SNAKE_CASE							   =time()
       self.dfs(UpperCamelCase_							, UpperCamelCase_			)
       _SCREAMING_SNAKE_CASE							   =time()
       return end - begin





  def 						A  (		self				:     Dict							, _a				:     Dict=-2			)     ->   List[Any]:





       '''simple docstring'''






       _SCREAMING_SNAKE_CASE							   =time()
       self.bfs(UpperCamelCase_			)
       _SCREAMING_SNAKE_CASE							   =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,
)


lowerCamelCase			:				Tuple 			=					{"configuration_fnet": ["FNET_PRETRAINED_CONFIG_ARCHIVE_MAP", "FNetConfig"]}

try:
     if not is_sentencepiece_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     lowerCamelCase			:				List[Any] 			=					["FNetTokenizer"]

try:
     if not is_tokenizers_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     lowerCamelCase			:				Optional[int] 			=					["FNetTokenizerFast"]

try:
     if not is_torch_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     lowerCamelCase			:				str 			=					[
         "FNET_PRETRAINED_MODEL_ARCHIVE_LIST",
         "FNetForMaskedLM",
         "FNetForMultipleChoice",
         "FNetForNextSentencePrediction",
         "FNetForPreTraining",
         "FNetForQuestionAnswering",
         "FNetForSequenceClassification",
         "FNetForTokenClassification",
         "FNetLayer",
         "FNetModel",
         "FNetPreTrainedModel",
     ]


if TYPE_CHECKING:
     from .configuration_fnet import FNET_PRETRAINED_CONFIG_ARCHIVE_MAP, FNetConfig

     try:
          if not is_sentencepiece_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .tokenization_fnet import FNetTokenizer

     try:
          if not is_tokenizers_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .tokenization_fnet_fast import FNetTokenizerFast

     try:
          if not is_torch_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .modeling_fnet import (
              FNET_PRETRAINED_MODEL_ARCHIVE_LIST,
              FNetForMaskedLM,
              FNetForMultipleChoice,
              FNetForNextSentencePrediction,
              FNetForPreTraining,
              FNetForQuestionAnswering,
              FNetForSequenceClassification,
              FNetForTokenClassification,
              FNetLayer,
              FNetModel,
              FNetPreTrainedModel,
          )


else:
     import sys

     lowerCamelCase			:				Dict 			=					_LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)
