

def     __lowerCAmelCase						(							snake_case	:    Tuple )       ->							Optional[int]:  # noqa: E741
   __lowerCamelCase:				List[Any]     =	len(snake_case )
   __lowerCamelCase:				List[Any]     =	0
   __lowerCamelCase:				str     =	[0] * n
   __lowerCamelCase:				List[Any]     =	[False] * n
   __lowerCamelCase:				Optional[int]     =	[False] * n

   def dfs(snake_case	:    Dict						,      snake_case	:    Optional[Any]						,      snake_case	:    Optional[int]						,      snake_case	:    Any ):
      if parent == root:
         out_edge_count += 1
      __lowerCamelCase:				str     =	True
      __lowerCamelCase:				str     =	at

      for to in l[at]:
         if to == parent:
            pass
         elif not visited[to]:
            __lowerCamelCase:				Tuple     =	dfs(snake_case						,      snake_case						,      snake_case						,      snake_case )
            __lowerCamelCase:				int     =	min(low[at]						,      low[to] )

            # AP found via bridge
            if at < low[to]:
               __lowerCamelCase:				Optional[int]     =	True
            # AP found via cycle
            if at == low[to]:
               __lowerCamelCase:				List[str]     =	True
         else:
            __lowerCamelCase:				Optional[Any]     =	min(low[at]						,      snake_case )
      return out_edge_count

   for i in range(snake_case ):
      if not visited[i]:
         __lowerCamelCase:				List[Any]     =	0
         __lowerCamelCase:				Optional[int]     =	dfs(snake_case						,      snake_case						,      -1						,      snake_case )
         __lowerCamelCase:				Any     =	out_edge_count > 1

   for x in range(len(snake_case ) ):
      if is_art[x] is True:
         print(snake_case )


# Adjacency list of graph
_A		:				Tuple									=       {
    0: [1, 2],
    1: [0, 2],
    2: [0, 1, 3, 5],
    3: [2, 4],
    4: [3],
    5: [2, 6, 8],
    6: [5, 7],
    7: [6, 8],
    8: [5, 7],
}







compute_ap(data)






from ..utils import (
    OptionalDependencyNotAvailable,
    is_flax_available,
    is_scipy_available,
    is_torch_available,
    is_torchsde_available,
)


try:
   if not is_torch_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   from ..utils.dummy_pt_objects import *  # noqa F403
else:
   from .scheduling_consistency_models import CMStochasticIterativeScheduler
   from .scheduling_ddim import DDIMScheduler
   from .scheduling_ddim_inverse import DDIMInverseScheduler
   from .scheduling_ddim_parallel import DDIMParallelScheduler
   from .scheduling_ddpm import DDPMScheduler
   from .scheduling_ddpm_parallel import DDPMParallelScheduler
   from .scheduling_deis_multistep import DEISMultistepScheduler
   from .scheduling_dpmsolver_multistep import DPMSolverMultistepScheduler
   from .scheduling_dpmsolver_multistep_inverse import DPMSolverMultistepInverseScheduler
   from .scheduling_dpmsolver_singlestep import DPMSolverSinglestepScheduler
   from .scheduling_euler_ancestral_discrete import EulerAncestralDiscreteScheduler
   from .scheduling_euler_discrete import EulerDiscreteScheduler
   from .scheduling_heun_discrete import HeunDiscreteScheduler
   from .scheduling_ipndm import IPNDMScheduler
   from .scheduling_k_dpm_2_ancestral_discrete import KDPMaAncestralDiscreteScheduler
   from .scheduling_k_dpm_2_discrete import KDPMaDiscreteScheduler
   from .scheduling_karras_ve import KarrasVeScheduler
   from .scheduling_pndm import PNDMScheduler
   from .scheduling_repaint import RePaintScheduler
   from .scheduling_sde_ve import ScoreSdeVeScheduler
   from .scheduling_sde_vp import ScoreSdeVpScheduler
   from .scheduling_unclip import UnCLIPScheduler
   from .scheduling_unipc_multistep import UniPCMultistepScheduler
   from .scheduling_utils import KarrasDiffusionSchedulers, SchedulerMixin
   from .scheduling_vq_diffusion import VQDiffusionScheduler

try:
   if not is_flax_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   from ..utils.dummy_flax_objects import *  # noqa F403
else:
   from .scheduling_ddim_flax import FlaxDDIMScheduler
   from .scheduling_ddpm_flax import FlaxDDPMScheduler
   from .scheduling_dpmsolver_multistep_flax import FlaxDPMSolverMultistepScheduler
   from .scheduling_karras_ve_flax import FlaxKarrasVeScheduler
   from .scheduling_lms_discrete_flax import FlaxLMSDiscreteScheduler
   from .scheduling_pndm_flax import FlaxPNDMScheduler
   from .scheduling_sde_ve_flax import FlaxScoreSdeVeScheduler
   from .scheduling_utils_flax import (
       FlaxKarrasDiffusionSchedulers,
       FlaxSchedulerMixin,
       FlaxSchedulerOutput,
       broadcast_to_shape_from_left,
   )


try:
   if not (is_torch_available() and is_scipy_available()):
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   from ..utils.dummy_torch_and_scipy_objects import *  # noqa F403
else:
   from .scheduling_lms_discrete import LMSDiscreteScheduler

try:
   if not (is_torch_available() and is_torchsde_available()):
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   from ..utils.dummy_torch_and_torchsde_objects import *  # noqa F403
else:
   from .scheduling_dpmsolver_sde import DPMSolverSDEScheduler


