





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





class      lowercase__    :







  def __init__(	self						):
       lowerCAmelCase_					:       Optional[Any]    =		{}







  def 	UpperCAmelCase__		(	self    ,						_lowercase    ,						_lowercase    ,						_lowercase=1						):
       if self.graph.get(_lowercase						):
            if self.graph[u].count([w, v]						) == 0:
                 self.graph[u].append([w, v]						)
       else:
            lowerCAmelCase_					:       Tuple    =		[[w, v]]
       if not self.graph.get(_lowercase						):
            lowerCAmelCase_					:       Any    =		[]







  def 	UpperCAmelCase__		(	self						):
       return list(self.graph						)







  def 	UpperCAmelCase__		(	self    ,						_lowercase    ,						_lowercase						):
       if self.graph.get(_lowercase						):
            for _ in self.graph[u]:
                 if _[1] == v:
                      self.graph[u].remove(_lowercase						)







  def 	UpperCAmelCase__		(	self    ,						_lowercase=-2    ,						_lowercase=-1						):
       if s == d:
            return []
       lowerCAmelCase_					:       Optional[int]    =		[]
       lowerCAmelCase_					:       Any    =		[]
       if s == -2:
            lowerCAmelCase_					:       Dict    =		list(self.graph						)[0]
       stack.append(_lowercase						)
       visited.append(_lowercase						)
       lowerCAmelCase_					:       str    =		s

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

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

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







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







  def 	UpperCAmelCase__		(	self    ,						_lowercase=-2						):
       lowerCAmelCase_					:       List[Any]    =		deque()
       lowerCAmelCase_					:       Optional[int]    =		[]
       if s == -2:
            lowerCAmelCase_					:       Union[str, Any]    =		list(self.graph						)[0]
       d.append(_lowercase						)
       visited.append(_lowercase						)
       while d:
            lowerCAmelCase_					:       Tuple    =		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 	UpperCAmelCase__		(	self    ,						_lowercase						):
       lowerCAmelCase_					:       Tuple    =		0
       for x in self.graph:
            for y in self.graph[x]:
                 if y[1] == u:
                      count += 1
       return count







  def 	UpperCAmelCase__		(	self    ,						_lowercase						):
       return len(self.graph[u]						)







  def 	UpperCAmelCase__		(	self    ,						_lowercase=-2						):
       lowerCAmelCase_					:       List[str]    =		[]
       lowerCAmelCase_					:       Any    =		[]
       if s == -2:
            lowerCAmelCase_					:       List[str]    =		list(self.graph						)[0]
       stack.append(_lowercase						)
       visited.append(_lowercase						)
       lowerCAmelCase_					:       Optional[int]    =		s
       lowerCAmelCase_					:       Optional[Any]    =		[]

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

            # check if all the children are visited
            if s == ss:
                 sorted_nodes.append(stack.pop()						)
                 if len(_lowercase						) != 0:
                      lowerCAmelCase_					:       List[str]    =		stack[len(_lowercase						) - 1]
            else:
                 lowerCAmelCase_					:       Dict    =		ss

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







  def 	UpperCAmelCase__		(	self						):
       lowerCAmelCase_					:       Optional[Any]    =		[]
       lowerCAmelCase_					:       Union[str, Any]    =		[]
       lowerCAmelCase_					:       Any    =		list(self.graph						)[0]
       stack.append(_lowercase						)
       visited.append(_lowercase						)
       lowerCAmelCase_					:       Tuple    =		-2
       lowerCAmelCase_					:       Tuple    =		[]
       lowerCAmelCase_					:       Any    =		s
       lowerCAmelCase_					:       int    =		False
       lowerCAmelCase_					:       List[Any]    =		set()

       while True:
            # check if there is any non isolated nodes
            if len(self.graph[s]						) != 0:
                 lowerCAmelCase_					:       Tuple    =		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_					:       List[Any]    =		len(_lowercase						) - 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_					:       int    =		node[1]
                           break

            # check if all the children are visited
            if s == ss:
                 stack.pop()
                 lowerCAmelCase_					:       Tuple    =		True
                 if len(_lowercase						) != 0:
                      lowerCAmelCase_					:       Optional[int]    =		stack[len(_lowercase						) - 1]
            else:
                 lowerCAmelCase_					:       int    =		False
                 indirect_parents.append(_lowercase						)
                 lowerCAmelCase_					:       Optional[int]    =		s
                 lowerCAmelCase_					:       Union[str, Any]    =		ss

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







  def 	UpperCAmelCase__		(	self						):
       lowerCAmelCase_					:       str    =		[]
       lowerCAmelCase_					:       Any    =		[]
       lowerCAmelCase_					:       Dict    =		list(self.graph						)[0]
       stack.append(_lowercase						)
       visited.append(_lowercase						)
       lowerCAmelCase_					:       Optional[Any]    =		-2
       lowerCAmelCase_					:       Tuple    =		[]
       lowerCAmelCase_					:       Union[str, Any]    =		s
       lowerCAmelCase_					:       Optional[Any]    =		False
       lowerCAmelCase_					:       Union[str, Any]    =		set()

       while True:
            # check if there is any non isolated nodes
            if len(self.graph[s]						) != 0:
                 lowerCAmelCase_					:       Optional[Any]    =		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_					:       Optional[Any]    =		len(_lowercase						) - 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_					:       int    =		node[1]
                           break

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

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







  def 	UpperCAmelCase__		(	self    ,						_lowercase=-2    ,						_lowercase=-1						):
       lowerCAmelCase_					:       Optional[Any]    =		time()
       self.dfs(_lowercase    ,						_lowercase						)
       lowerCAmelCase_					:       Tuple    =		time()
       return end - begin







  def 	UpperCAmelCase__		(	self    ,						_lowercase=-2						):
       lowerCAmelCase_					:       Any    =		time()
       self.bfs(_lowercase						)
       lowerCAmelCase_					:       str    =		time()
       return end - begin





class      lowercase__    :







  def __init__(	self						):
       lowerCAmelCase_					:       Optional[Any]    =		{}







  def 	UpperCAmelCase__		(	self    ,						_lowercase    ,						_lowercase    ,						_lowercase=1						):
       # check if the u exists
       if self.graph.get(_lowercase						):
            # 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_					:       int    =		[[w, v]]
       # add the other way
       if self.graph.get(_lowercase						):
            # 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_					:       List[str]    =		[[w, u]]







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







  def 	UpperCAmelCase__		(	self    ,						_lowercase=-2    ,						_lowercase=-1						):
       if s == d:
            return []
       lowerCAmelCase_					:       Any    =		[]
       lowerCAmelCase_					:       Tuple    =		[]
       if s == -2:
            lowerCAmelCase_					:       Dict    =		list(self.graph						)[0]
       stack.append(_lowercase						)
       visited.append(_lowercase						)
       lowerCAmelCase_					:       Any    =		s

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

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

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







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







  def 	UpperCAmelCase__		(	self    ,						_lowercase=-2						):
       lowerCAmelCase_					:       str    =		deque()
       lowerCAmelCase_					:       List[str]    =		[]
       if s == -2:
            lowerCAmelCase_					:       Dict    =		list(self.graph						)[0]
       d.append(_lowercase						)
       visited.append(_lowercase						)
       while d:
            lowerCAmelCase_					:       Tuple    =		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 	UpperCAmelCase__		(	self    ,						_lowercase						):
       return len(self.graph[u]						)







  def 	UpperCAmelCase__		(	self						):
       lowerCAmelCase_					:       int    =		[]
       lowerCAmelCase_					:       Tuple    =		[]
       lowerCAmelCase_					:       List[str]    =		list(self.graph						)[0]
       stack.append(_lowercase						)
       visited.append(_lowercase						)
       lowerCAmelCase_					:       List[Any]    =		-2
       lowerCAmelCase_					:       Dict    =		[]
       lowerCAmelCase_					:       int    =		s
       lowerCAmelCase_					:       List[Any]    =		False
       lowerCAmelCase_					:       List[Any]    =		set()

       while True:
            # check if there is any non isolated nodes
            if len(self.graph[s]						) != 0:
                 lowerCAmelCase_					:       Optional[Any]    =		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_					:       str    =		len(_lowercase						) - 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_					:       str    =		node[1]
                           break

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

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







  def 	UpperCAmelCase__		(	self						):
       lowerCAmelCase_					:       Optional[int]    =		[]
       lowerCAmelCase_					:       Optional[int]    =		[]
       lowerCAmelCase_					:       int    =		list(self.graph						)[0]
       stack.append(_lowercase						)
       visited.append(_lowercase						)
       lowerCAmelCase_					:       str    =		-2
       lowerCAmelCase_					:       List[str]    =		[]
       lowerCAmelCase_					:       Tuple    =		s
       lowerCAmelCase_					:       Any    =		False
       lowerCAmelCase_					:       Tuple    =		set()

       while True:
            # check if there is any non isolated nodes
            if len(self.graph[s]						) != 0:
                 lowerCAmelCase_					:       Dict    =		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_					:       List[Any]    =		len(_lowercase						) - 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_					:       Optional[Any]    =		node[1]
                           break

            # check if all the children are visited
            if s == ss:
                 stack.pop()
                 lowerCAmelCase_					:       Any    =		True
                 if len(_lowercase						) != 0:
                      lowerCAmelCase_					:       Optional[int]    =		stack[len(_lowercase						) - 1]
            else:
                 lowerCAmelCase_					:       List[Any]    =		False
                 indirect_parents.append(_lowercase						)
                 lowerCAmelCase_					:       Optional[int]    =		s
                 lowerCAmelCase_					:       Union[str, Any]    =		ss

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







  def 	UpperCAmelCase__		(	self						):
       return list(self.graph						)







  def 	UpperCAmelCase__		(	self    ,						_lowercase=-2    ,						_lowercase=-1						):
       lowerCAmelCase_					:       Union[str, Any]    =		time()
       self.dfs(_lowercase    ,						_lowercase						)
       lowerCAmelCase_					:       Union[str, Any]    =		time()
       return end - begin







  def 	UpperCAmelCase__		(	self    ,						_lowercase=-2						):
       lowerCAmelCase_					:       Tuple    =		time()
       self.bfs(_lowercase						)
       lowerCAmelCase_					:       List[str]    =		time()
       return end - begin







# Copyright 2023 The HuggingFace Team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
from typing import TYPE_CHECKING

# rely on isort to merge the imports
from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available, is_vision_available


UpperCAmelCase_					:   Tuple 							=						{
    """configuration_vivit""": ["""VIVIT_PRETRAINED_CONFIG_ARCHIVE_MAP""", """VivitConfig"""],
}
try:
      if not is_vision_available():
            raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
      pass
else:
      UpperCAmelCase_					:   Tuple 							=						["""VivitImageProcessor"""]


try:
      if not is_torch_available():
            raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
      pass
else:
      UpperCAmelCase_					:   Any 							=						[
          """VIVIT_PRETRAINED_MODEL_ARCHIVE_LIST""",
          """VivitModel""",
          """VivitPreTrainedModel""",
          """VivitForVideoClassification""",
      ]


if TYPE_CHECKING:
      from .configuration_vivit import VIVIT_PRETRAINED_CONFIG_ARCHIVE_MAP, VivitConfig

      try:
            if not is_vision_available():
                  raise OptionalDependencyNotAvailable()
      except OptionalDependencyNotAvailable:
            pass
      else:
            from .image_processing_vivit import VivitImageProcessor

      try:
            if not is_torch_available():
                  raise OptionalDependencyNotAvailable()
      except OptionalDependencyNotAvailable:
            pass
      else:
            from .modeling_vivit import (
                VIVIT_PRETRAINED_MODEL_ARCHIVE_LIST,
                VivitForVideoClassification,
                VivitModel,
                VivitPreTrainedModel,
            )


else:
      import sys

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