'''simple docstring'''




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




class        a__ :






     def __init__(					self						:						int       ):





         """simple docstring"""



         __lowerCamelCase            =    {}






     def   SCREAMING_SNAKE_CASE__  (					self						:						Any    ,							a						:						Dict    ,							a						:						Union[str, Any]    ,							a						:						Union[str, Any]=1       ):





         """simple docstring"""



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






     def   SCREAMING_SNAKE_CASE__  (					self						:						Optional[int]       ):





         """simple docstring"""



         return list(self.graph       )






     def   SCREAMING_SNAKE_CASE__  (					self						:						Any    ,							a						:						List[str]    ,							a						:						str       ):





         """simple docstring"""



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






     def   SCREAMING_SNAKE_CASE__  (					self						:						Union[str, Any]    ,							a						:						List[str]=-2    ,							a						:						Optional[Any]=-1       ):





         """simple docstring"""



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

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

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

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






     def   SCREAMING_SNAKE_CASE__  (					self						:						Tuple    ,							a						:						Optional[Any]=-1       ):





         """simple docstring"""



         if c == -1:
             __lowerCamelCase            =    floor(random() * 1_00_00       ) + 10
         for i in range(lowerCamelCase__       ):
             # every vertex has max 100 edges
             for _ in range(floor(random() * 1_02       ) + 1       ):
                 __lowerCamelCase            =    floor(random() * c       ) + 1
                 if n != i:
                     self.add_pair(lowerCamelCase__    ,							lowerCamelCase__    ,							1       )






     def   SCREAMING_SNAKE_CASE__  (					self						:						str    ,							a						:						List[Any]=-2       ):





         """simple docstring"""



         __lowerCamelCase            =    deque()
         __lowerCamelCase            =    []
         if s == -2:
             __lowerCamelCase            =    list(self.graph       )[0]
         d.append(lowerCamelCase__       )
         visited.append(lowerCamelCase__       )
         while d:
             __lowerCamelCase            =    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						:						Dict    ,							a						:						Optional[Any]       ):





         """simple docstring"""



         __lowerCamelCase            =    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						:						Tuple    ,							a						:						Union[str, Any]       ):





         """simple docstring"""



         return len(self.graph[u]       )






     def   SCREAMING_SNAKE_CASE__  (					self						:						List[str]    ,							a						:						int=-2       ):





         """simple docstring"""



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

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

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

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






     def   SCREAMING_SNAKE_CASE__  (					self						:						Union[str, Any]       ):





         """simple docstring"""



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

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

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

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






     def   SCREAMING_SNAKE_CASE__  (					self						:						List[str]       ):





         """simple docstring"""



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

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

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

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






     def   SCREAMING_SNAKE_CASE__  (					self						:						Dict    ,							a						:						Tuple=-2    ,							a						:						Any=-1       ):





         """simple docstring"""



         __lowerCamelCase            =    time()
         self.dfs(lowerCamelCase__    ,							lowerCamelCase__       )
         __lowerCamelCase            =    time()
         return end - begin






     def   SCREAMING_SNAKE_CASE__  (					self						:						Any    ,							a						:						str=-2       ):





         """simple docstring"""



         __lowerCamelCase            =    time()
         self.bfs(lowerCamelCase__       )
         __lowerCamelCase            =    time()
         return end - begin




class        a__ :






     def __init__(					self						:						int       ):





         """simple docstring"""



         __lowerCamelCase            =    {}






     def   SCREAMING_SNAKE_CASE__  (					self						:						Optional[int]    ,							a						:						Any    ,							a						:						str    ,							a						:						int=1       ):





         """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
             __lowerCamelCase            =    [[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
             __lowerCamelCase            =    [[w, u]]






     def   SCREAMING_SNAKE_CASE__  (					self						:						Union[str, Any]    ,							a						:						Any    ,							a						:						List[str]       ):





         """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   SCREAMING_SNAKE_CASE__  (					self						:						Union[str, Any]    ,							a						:						Optional[Any]=-2    ,							a						:						int=-1       ):





         """simple docstring"""



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

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

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

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






     def   SCREAMING_SNAKE_CASE__  (					self						:						Tuple    ,							a						:						Optional[int]=-1       ):





         """simple docstring"""



         if c == -1:
             __lowerCamelCase            =    floor(random() * 1_00_00       ) + 10
         for i in range(lowerCamelCase__       ):
             # every vertex has max 100 edges
             for _ in range(floor(random() * 1_02       ) + 1       ):
                 __lowerCamelCase            =    floor(random() * c       ) + 1
                 if n != i:
                     self.add_pair(lowerCamelCase__    ,							lowerCamelCase__    ,							1       )






     def   SCREAMING_SNAKE_CASE__  (					self						:						Any    ,							a						:						int=-2       ):





         """simple docstring"""



         __lowerCamelCase            =    deque()
         __lowerCamelCase            =    []
         if s == -2:
             __lowerCamelCase            =    list(self.graph       )[0]
         d.append(lowerCamelCase__       )
         visited.append(lowerCamelCase__       )
         while d:
             __lowerCamelCase            =    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						:						Optional[Any]    ,							a						:						List[str]       ):





         """simple docstring"""



         return len(self.graph[u]       )






     def   SCREAMING_SNAKE_CASE__  (					self						:						Union[str, Any]       ):





         """simple docstring"""



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

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

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

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






     def   SCREAMING_SNAKE_CASE__  (					self						:						str       ):





         """simple docstring"""



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

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

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

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






     def   SCREAMING_SNAKE_CASE__  (					self						:						int       ):





         """simple docstring"""



         return list(self.graph       )






     def   SCREAMING_SNAKE_CASE__  (					self						:						List[Any]    ,							a						:						Dict=-2    ,							a						:						Optional[Any]=-1       ):





         """simple docstring"""



         __lowerCamelCase            =    time()
         self.dfs(lowerCamelCase__    ,							lowerCamelCase__       )
         __lowerCamelCase            =    time()
         return end - begin






     def   SCREAMING_SNAKE_CASE__  (					self						:						Union[str, Any]    ,							a						:						int=-2       ):





         """simple docstring"""



         __lowerCamelCase            =    time()
         self.bfs(lowerCamelCase__       )
         __lowerCamelCase            =    time()
         return end - begin








import warnings

from ...utils import logging
from .image_processing_beit import BeitImageProcessor


UpperCamelCase    							=      logging.get_logger(__name__)







class 		_A						( UpperCAmelCase_ ):

  def __init__(    self						:	str   ,				*lowerCamelCase__						:	Optional[int]   ,				**lowerCamelCase__						:	Any			):
     """simple docstring"""

     warnings.warn(
         """The class BeitFeatureExtractor is deprecated and will be removed in version 5 of Transformers. Please"""
         """ use BeitImageProcessor instead."""   ,				lowerCamelCase__   ,				)
     super().__init__(*lowerCamelCase__   ,				**lowerCamelCase__			)



