

'''simple docstring'''




# using dfs for finding eulerian path traversal


def    lowerCamelCase__		(    SCREAMING_SNAKE_CASE   : Tuple							, SCREAMING_SNAKE_CASE   : Optional[Any]							, SCREAMING_SNAKE_CASE   : Any							, SCREAMING_SNAKE_CASE   : Optional[Any]=None    ):
  UpperCAmelCase    				=						(path or []) + [u]
  for v in graph[u]:
    if visited_edge[u][v] is False:
      UpperCAmelCase				,   UpperCAmelCase    				=						True, True
      UpperCAmelCase    				=						dfs(SCREAMING_SNAKE_CASE							, SCREAMING_SNAKE_CASE							, SCREAMING_SNAKE_CASE							, SCREAMING_SNAKE_CASE    )
  return path


def    lowerCamelCase__		(    SCREAMING_SNAKE_CASE   : List[Any]							, SCREAMING_SNAKE_CASE   : Any    ):
  UpperCAmelCase    				=						0
  UpperCAmelCase    				=						-1
  for i in range(SCREAMING_SNAKE_CASE    ):
    if i not in graph.keys():
      continue
    if len(graph[i]    ) % 2 == 1:
      odd_degree_nodes += 1
      UpperCAmelCase    				=						i
  if odd_degree_nodes == 0:
    return 1, odd_node
  if odd_degree_nodes == 2:
    return 2, odd_node
  return 3, odd_node


def    lowerCamelCase__		(    SCREAMING_SNAKE_CASE   : int							, SCREAMING_SNAKE_CASE   : List[Any]    ):
  UpperCAmelCase    				=						[[False for _ in range(max_node + 1    )] for _ in range(max_node + 1    )]
  UpperCAmelCase				,   UpperCAmelCase    				=						check_circuit_or_path(SCREAMING_SNAKE_CASE							, SCREAMING_SNAKE_CASE    )
  if check == 3:
    print('graph is not Eulerian'    )
    print('no path'    )
    return
  UpperCAmelCase    				=						1
  if check == 2:
    UpperCAmelCase    				=						odd_node
    print('graph has a Euler path'    )
  if check == 1:
    print('graph has a Euler cycle'    )
  UpperCAmelCase    				=						dfs(SCREAMING_SNAKE_CASE							, SCREAMING_SNAKE_CASE							, SCREAMING_SNAKE_CASE    )
  print(SCREAMING_SNAKE_CASE    )


def    lowerCamelCase__		(    ):
  UpperCAmelCase    				=						{1: [2, 3, 4], 2: [1, 3], 3: [1, 2], 4: [1, 5], 5: [4]}
  UpperCAmelCase    				=						{1: [2, 3, 4, 5], 2: [1, 3], 3: [1, 2], 4: [1, 5], 5: [1, 4]}
  UpperCAmelCase    				=						{1: [2, 3, 4], 2: [1, 3, 4], 3: [1, 2], 4: [1, 2, 5], 5: [4]}
  UpperCAmelCase    				=						{1: [2, 3], 2: [1, 3], 3: [1, 2]}
  UpperCAmelCase    				=						{
      1: [],
      2: []
      # all degree is zero
  }
  UpperCAmelCase    				=						10
  check_euler(SCREAMING_SNAKE_CASE							, SCREAMING_SNAKE_CASE    )
  check_euler(SCREAMING_SNAKE_CASE							, SCREAMING_SNAKE_CASE    )
  check_euler(SCREAMING_SNAKE_CASE							, SCREAMING_SNAKE_CASE    )
  check_euler(SCREAMING_SNAKE_CASE							, SCREAMING_SNAKE_CASE    )
  check_euler(SCREAMING_SNAKE_CASE							, SCREAMING_SNAKE_CASE    )


if __name__ == "__main__":
  main()





'''simple docstring'''




import warnings

from ...utils import logging
from .image_processing_donut import DonutImageProcessor


_a					:			List[Any]							=    logging.get_logger(__name__)



class 							lowercase_						(		a			):

  '''simple docstring'''





  def __init__(  self ,			*a_ ,			**a_  )				->					None:


    """simple docstring"""
    warnings.warn(
        'The class DonutFeatureExtractor is deprecated and will be removed in version 5 of Transformers. Please'
        ' use DonutImageProcessor instead.' ,			a_ ,			)
    super().__init__(*a_ ,			**a_  )


