code: 
  '''simple docstring'''
  
  _UpperCAmelCase   :      Optional[int] 						=  float("""inf""")
  
  class 			UpperCAmelCase				:
  
  
  
  
  
  		"""simple docstring"""
  
  
  
  
  
  		def __init__(    self  ,					_snake_case     )				->    List[str]:
  				_UpperCamelCase       : Optional[Any]    =      [0] * n
  				_UpperCamelCase       : str    =      [0] * n
  				_UpperCamelCase       : List[Any]    =      [0] * n
  				_UpperCamelCase       : int    =      [[] for _ in range(_snake_case     )]
  		def _lowercase  (    self  ,					_snake_case  ,					_snake_case  ,					_snake_case  ,					_snake_case=0     )				->    Dict:
  				self.adj[a].append([b, len(self.adj[b]     ), c, 0]     )
  				self.adj[b].append([a, len(self.adj[a]     ) - 1, rcap, 0]     )
  		def _lowercase  (    self  ,					_snake_case  ,					_snake_case  ,					_snake_case     )				->    Optional[Any]:
  				if vertex == sink or not flow:
  						return flow
  
  				for i in range(self.ptr[vertex]  ,					len(self.adj[vertex]     )     ):
  						_UpperCamelCase       : Union[str, Any]    =      self.adj[vertex][i]
  						if self.lvl[e[0]] == self.lvl[vertex] + 1:
  								_UpperCamelCase       : List[str]    =      self.depth_first_search(e[0]  ,					_snake_case  ,					min(_snake_case  ,					e[2] - e[3]     )     )
  								if p:
  										self.adj[vertex][i][3] += p
  										self.adj[e[0]][e[1]][3] -= p
  										return p
  						_UpperCamelCase       : Any    =      self.ptr[vertex] + 1
  				return 0
  
  
  
  
  		def _lowercase  (    self  ,					_snake_case  ,					_snake_case     )				->    Any:
  				_UpperCamelCase,							_UpperCamelCase       : Dict    =      0, source
  				for l in range(31     ):  # noqa: E741  l = 30 maybe faster for random data
  						while True:
  								_UpperCamelCase,							_UpperCamelCase       : Tuple    =      [0] * len(self.q     ), [0] * len(self.q     )
  								_UpperCamelCase,							_UpperCamelCase,							_UpperCamelCase       : Tuple    =      0, 1, 1
  								while qi < qe and not self.lvl[sink]:
  										_UpperCamelCase       : List[Any]    =      self.q[qi]
  										qi += 1
  										for e in self.adj[v]:
  												if not self.lvl[e[0]] and (e[2] - e[3]) >> (30 - l):
  														_UpperCamelCase       : Optional[int]    =      e[0]
  														qe += 1
  														_UpperCamelCase       : int    =      self.lvl[v] + 1
  
  								_UpperCamelCase       : Tuple    =      self.depth_first_search(_snake_case  ,					_snake_case  ,					_snake_case     )
  								while p:
  										flow += p
  										_UpperCamelCase       : Optional[Any]    =      self.depth_first_search(_snake_case  ,					_snake_case  ,					_snake_case     )
  
  								if not self.lvl[sink]:
  										break
  
  				return flow
  _UpperCAmelCase   :      List[Any] 						=  Dinic(10)
  _UpperCAmelCase   :      List[Any] 						=  0
  _UpperCAmelCase   :      List[Any] 						=  9
  for vertex in range(1, 5):
  	graph.add_edge(source, vertex, 1)
  for vertex in range(5, 9):
  	graph.add_edge(vertex, sink, 1)
  for vertex in range(1, 5):
  	graph.add_edge(vertex, vertex + 4, 1)
  
  # Now we can know that is the maximum flow(source -> sink)
  print(graph.max_flow(source, sink))
  
  
  
  
  
  
style_context: 
  '''simple docstring'''
  
  import unittest
  
  from transformers.image_processing_utils import get_size_dict
  
  class 			UpperCAmelCase				(					unittest.TestCase ):
  
  
  
  
  
  		"""simple docstring"""
  
  
  
  
  
  		def _lowercase  (    self     )				->    Dict:
  				# Test a dict with the wrong keys raises an error
  				_UpperCamelCase       : List[Any]    =      {'''wrong_key''': 224}
  				with self.assertRaises(_snake_case     ):
  						get_size_dict(_snake_case     )
  
  				_UpperCamelCase       : Dict    =      {'''height''': 224}
  				with self.assertRaises(_snake_case     ):
  						get_size_dict(_snake_case     )
  
  				_UpperCamelCase       : str    =      {'''width''': 224, '''shortest_edge''': 224}
  				with self.assertRaises(_snake_case     ):
  						get_size_dict(_snake_case     )
  
  				# Test a dict with the correct keys is returned as is
  				_UpperCamelCase       : Any    =      {'''height''': 224, '''width''': 224}
  				_UpperCamelCase       : Optional[int]    =      get_size_dict(_snake_case     )
  				self.assertEqual(_snake_case  ,					_snake_case     )
  
  				_UpperCamelCase       : Optional[Any]    =      {'''shortest_edge''': 224}
  				_UpperCamelCase       : int    =      get_size_dict(_snake_case     )
  				self.assertEqual(_snake_case  ,					{'''shortest_edge''': 224}     )
  
  				_UpperCamelCase       : int    =      {'''longest_edge''': 224, '''shortest_edge''': 224}
  				_UpperCamelCase       : Tuple    =      get_size_dict(_snake_case     )
  				self.assertEqual(_snake_case  ,					{'''longest_edge''': 224, '''shortest_edge''': 224}     )
  
  				# Test a single int value which  represents (size, size)
  				_UpperCamelCase       : Any    =      get_size_dict(224     )
  				self.assertEqual(_snake_case  ,					{'''height''': 224, '''width''': 224}     )
  
  				# Test a single int value which represents the shortest edge
  				_UpperCamelCase       : List[Any]    =      get_size_dict(224  ,					default_to_square=_snake_case     )
  				self.assertEqual(_snake_case  ,					{'''shortest_edge''': 224}     )
  
  				# Test a tuple of ints which represents (height, width)
  				_UpperCamelCase       : Any    =      get_size_dict((150, 200)     )
  				self.assertEqual(_snake_case  ,					{'''height''': 150, '''width''': 200}     )
  
  				# Test a tuple of ints which represents (width, height)
  				_UpperCamelCase       : List[str]    =      get_size_dict((150, 200)  ,					height_width_order=_snake_case     )
  				self.assertEqual(_snake_case  ,					{'''height''': 200, '''width''': 150}     )
  
  				# Test an int representing the shortest edge and max_size which represents the longest edge
  				_UpperCamelCase       : Any    =      get_size_dict(224  ,					max_size=256  ,					default_to_square=_snake_case     )
  				self.assertEqual(_snake_case  ,					{'''shortest_edge''': 224, '''longest_edge''': 256}     )
  
  				# Test int with default_to_square=True and max_size fails
  				with self.assertRaises(_snake_case     ):
  						get_size_dict(224  ,					max_size=256  ,					default_to_square=_snake_case     )
  
  
  
  
  
  