




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


class  A		:



		def __init__(     self   ):







								"""simple docstring"""



								lowerCAmelCase_      			=  {}



		def        SCREAMING_SNAKE_CASE__			(     self,	UpperCamelCase__,	UpperCamelCase__,	UpperCamelCase__=1   ):







								"""simple docstring"""



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



		def        SCREAMING_SNAKE_CASE__			(     self   ):







								"""simple docstring"""



								return list(self.graph   )



		def        SCREAMING_SNAKE_CASE__			(     self,	UpperCamelCase__,	UpperCamelCase__   ):







								"""simple docstring"""



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



		def        SCREAMING_SNAKE_CASE__			(     self,	UpperCamelCase__=-2,	UpperCamelCase__=-1   ):







								"""simple docstring"""



								if s == d:
														return []
								lowerCAmelCase_      			=  []
								lowerCAmelCase_      			=  []
								if s == -2:
														lowerCAmelCase_      			=  list(self.graph   )[0]
								stack.append(UpperCamelCase__   )
								visited.append(UpperCamelCase__   )
								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(UpperCamelCase__   )
																																						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(UpperCamelCase__   ) != 0:
																										lowerCAmelCase_      			=  stack[len(UpperCamelCase__   ) - 1]
														else:
																				lowerCAmelCase_      			=  ss

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



		def        SCREAMING_SNAKE_CASE__			(     self,	UpperCamelCase__=-1   ):







								"""simple docstring"""



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



		def        SCREAMING_SNAKE_CASE__			(     self,	UpperCamelCase__=-2   ):







								"""simple docstring"""



								lowerCAmelCase_      			=  deque()
								lowerCAmelCase_      			=  []
								if s == -2:
														lowerCAmelCase_      			=  list(self.graph   )[0]
								d.append(UpperCamelCase__   )
								visited.append(UpperCamelCase__   )
								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,	UpperCamelCase__   ):







								"""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,	UpperCamelCase__   ):







								"""simple docstring"""



								return len(self.graph[u]   )



		def        SCREAMING_SNAKE_CASE__			(     self,	UpperCamelCase__=-2   ):







								"""simple docstring"""



								lowerCAmelCase_      			=  []
								lowerCAmelCase_      			=  []
								if s == -2:
														lowerCAmelCase_      			=  list(self.graph   )[0]
								stack.append(UpperCamelCase__   )
								visited.append(UpperCamelCase__   )
								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(UpperCamelCase__   ) != 0:
																										lowerCAmelCase_      			=  stack[len(UpperCamelCase__   ) - 1]
														else:
																				lowerCAmelCase_      			=  ss

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



		def        SCREAMING_SNAKE_CASE__			(     self   ):







								"""simple docstring"""



								lowerCAmelCase_      			=  []
								lowerCAmelCase_      			=  []
								lowerCAmelCase_      			=  list(self.graph   )[0]
								stack.append(UpperCamelCase__   )
								visited.append(UpperCamelCase__   )
								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(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]   )
																																lowerCAmelCase_      			=  node[1]
																																break

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

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



		def        SCREAMING_SNAKE_CASE__			(     self   ):







								"""simple docstring"""



								lowerCAmelCase_      			=  []
								lowerCAmelCase_      			=  []
								lowerCAmelCase_      			=  list(self.graph   )[0]
								stack.append(UpperCamelCase__   )
								visited.append(UpperCamelCase__   )
								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(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]   )
																																lowerCAmelCase_      			=  node[1]
																																break

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

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



		def        SCREAMING_SNAKE_CASE__			(     self,	UpperCamelCase__=-2,	UpperCamelCase__=-1   ):







								"""simple docstring"""



								lowerCAmelCase_      			=  time()
								self.dfs(UpperCamelCase__,	UpperCamelCase__   )
								lowerCAmelCase_      			=  time()
								return end - begin







		def        SCREAMING_SNAKE_CASE__			(     self,	UpperCamelCase__=-2   ):







								"""simple docstring"""



								lowerCAmelCase_      			=  time()
								self.bfs(UpperCamelCase__   )
								lowerCAmelCase_      			=  time()
								return end - begin







class  A		:



		def __init__(     self   ):







								"""simple docstring"""



								lowerCAmelCase_      			=  {}



		def        SCREAMING_SNAKE_CASE__			(     self,	UpperCamelCase__,	UpperCamelCase__,	UpperCamelCase__=1   ):







								"""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
														lowerCAmelCase_      			=  [[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
														lowerCAmelCase_      			=  [[w, u]]



		def        SCREAMING_SNAKE_CASE__			(     self,	UpperCamelCase__,	UpperCamelCase__   ):







								"""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        SCREAMING_SNAKE_CASE__			(     self,	UpperCamelCase__=-2,	UpperCamelCase__=-1   ):







								"""simple docstring"""



								if s == d:
														return []
								lowerCAmelCase_      			=  []
								lowerCAmelCase_      			=  []
								if s == -2:
														lowerCAmelCase_      			=  list(self.graph   )[0]
								stack.append(UpperCamelCase__   )
								visited.append(UpperCamelCase__   )
								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(UpperCamelCase__   )
																																						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(UpperCamelCase__   ) != 0:
																										lowerCAmelCase_      			=  stack[len(UpperCamelCase__   ) - 1]
														else:
																				lowerCAmelCase_      			=  ss

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



		def        SCREAMING_SNAKE_CASE__			(     self,	UpperCamelCase__=-1   ):







								"""simple docstring"""



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



		def        SCREAMING_SNAKE_CASE__			(     self,	UpperCamelCase__=-2   ):







								"""simple docstring"""



								lowerCAmelCase_      			=  deque()
								lowerCAmelCase_      			=  []
								if s == -2:
														lowerCAmelCase_      			=  list(self.graph   )[0]
								d.append(UpperCamelCase__   )
								visited.append(UpperCamelCase__   )
								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,	UpperCamelCase__   ):







								"""simple docstring"""



								return len(self.graph[u]   )



		def        SCREAMING_SNAKE_CASE__			(     self   ):







								"""simple docstring"""



								lowerCAmelCase_      			=  []
								lowerCAmelCase_      			=  []
								lowerCAmelCase_      			=  list(self.graph   )[0]
								stack.append(UpperCamelCase__   )
								visited.append(UpperCamelCase__   )
								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(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]   )
																																lowerCAmelCase_      			=  node[1]
																																break

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

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



		def        SCREAMING_SNAKE_CASE__			(     self   ):







								"""simple docstring"""



								lowerCAmelCase_      			=  []
								lowerCAmelCase_      			=  []
								lowerCAmelCase_      			=  list(self.graph   )[0]
								stack.append(UpperCamelCase__   )
								visited.append(UpperCamelCase__   )
								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(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]   )
																																lowerCAmelCase_      			=  node[1]
																																break

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

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



		def        SCREAMING_SNAKE_CASE__			(     self   ):







								"""simple docstring"""



								return list(self.graph   )



		def        SCREAMING_SNAKE_CASE__			(     self,	UpperCamelCase__=-2,	UpperCamelCase__=-1   ):







								"""simple docstring"""



								lowerCAmelCase_      			=  time()
								self.dfs(UpperCamelCase__,	UpperCamelCase__   )
								lowerCAmelCase_      			=  time()
								return end - begin







		def        SCREAMING_SNAKE_CASE__			(     self,	UpperCamelCase__=-2   ):







								"""simple docstring"""



								lowerCAmelCase_      			=  time()
								self.bfs(UpperCamelCase__   )
								lowerCAmelCase_      			=  time()
								return end - begin










import warnings

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


_A     =			logging.get_logger(__name__)


class  A		(  __UpperCAmelCase     ):



		def __init__(     self,	*UpperCamelCase__,	**UpperCamelCase__   ):







								"""simple docstring"""



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




