





"""simple docstring"""



class 		__snake_case :





 """simple docstring"""


 def __init__(   self ,						__lowerCamelCase ,						__lowerCamelCase ,						__lowerCamelCase  ):



     '''simple docstring'''




     __A   :						List[str]									=					None
     __A   :						str									=					None
     __A   :						Tuple									=					graph

     self._normalize_graph(__lowerCamelCase ,						__lowerCamelCase  )
     __A   :						Dict									=					len(__lowerCamelCase  )
     __A   :						Dict									=					None

 def  UpperCamelCase__(   self ,						__lowerCamelCase ,						__lowerCamelCase  ):



     '''simple docstring'''




     if sources is int:
         __A   :						int									=					[sources]
     if sinks is int:
         __A   :						Any									=					[sinks]

     if len(__lowerCamelCase  ) == 0 or len(__lowerCamelCase  ) == 0:
         return

     __A   :						Dict									=					sources[0]
     __A   :						Optional[Any]									=					sinks[0]

     # make fake vertex if there are more
     # than one source or sink
     if len(__lowerCamelCase  ) > 1 or len(__lowerCamelCase  ) > 1:
         __A   :						Optional[int]									=					0
         for i in sources:
             max_input_flow += sum(self.graph[i]  )

         __A   :						Optional[int]									=					len(self.graph  ) + 1
         for room in self.graph:
             room.insert(0 ,						0  )
         self.graph.insert(0 ,						[0] * size  )
         for i in sources:
             __A   :						str									=					max_input_flow
         __A   :						Any									=					0

         __A   :						int									=					len(self.graph  ) + 1
         for room in self.graph:
             room.append(0  )
         self.graph.append([0] * size  )
         for i in sinks:
             __A   :						Tuple									=					max_input_flow
         __A   :						Any									=					size - 1

 def  UpperCamelCase__(   self  ):



     '''simple docstring'''




     if self.maximum_flow_algorithm is None:
         raise Exception('''You need to set maximum flow algorithm before.'''  )
     if self.source_index is None or self.sink_index is None:
         return 0

     self.maximum_flow_algorithm.execute()
     return self.maximum_flow_algorithm.getMaximumFlow()







 def  UpperCamelCase__(   self ,						__lowerCamelCase  ):



     '''simple docstring'''




     __A   :						str									=					algorithm(self  )






class 		__snake_case :





 """simple docstring"""


 def __init__(   self ,						__lowerCamelCase  ):



     '''simple docstring'''




     __A   :						Optional[int]									=					flow_network
     __A   :						Union[str, Any]									=					flow_network.verticesCount
     __A   :						List[str]									=					flow_network.sourceIndex
     __A   :						Dict									=					flow_network.sinkIndex
     # it's just a reference, so you shouldn't change
     # it in your algorithms, use deep copy before doing that
     __A   :						int									=					flow_network.graph
     __A   :						Optional[Any]									=					False

 def  UpperCamelCase__(   self  ):



     '''simple docstring'''




     if not self.executed:
         self._algorithm()
         __A   :						Dict									=					True







 def  UpperCamelCase__(   self  ):



     '''simple docstring'''




     pass






class 		__snake_case (		SCREAMING_SNAKE_CASE__					):





 """simple docstring"""


 def __init__(   self ,						__lowerCamelCase  ):



     '''simple docstring'''




     super().__init__(__lowerCamelCase  )
     # use this to save your result
     __A   :						str									=					-1







 def  UpperCamelCase__(   self  ):



     '''simple docstring'''




     if not self.executed:
         raise Exception('''You should execute algorithm before using its result!'''  )

     return self.maximum_flow






class 		__snake_case (		SCREAMING_SNAKE_CASE__					):





 """simple docstring"""


 def __init__(   self ,						__lowerCamelCase  ):



     '''simple docstring'''




     super().__init__(__lowerCamelCase  )

     __A   :						int									=					[[0] * self.verticies_count for i in range(self.verticies_count  )]

     __A   :						str									=					[0] * self.verticies_count
     __A   :						Dict									=					[0] * self.verticies_count

 def  UpperCamelCase__(   self  ):



     '''simple docstring'''




     __A   :						List[str]									=					self.verticies_count

     # push some substance to graph
     for nextvertex_index, bandwidth in enumerate(self.graph[self.source_index]  ):
         self.preflow[self.source_index][nextvertex_index] += bandwidth
         self.preflow[nextvertex_index][self.source_index] -= bandwidth
         self.excesses[nextvertex_index] += bandwidth

     # Relabel-to-front selection rule
     __A   :						int									=					[
         i
         for i in range(self.verticies_count  )
         if i != self.source_index and i != self.sink_index
     ]

     # move through list
     __A   :						Optional[Any]									=					0
     while i < len(__lowerCamelCase  ):
         __A   :						Optional[int]									=					vertices_list[i]
         __A   :						int									=					self.heights[vertex_index]
         self.process_vertex(__lowerCamelCase  )
         if self.heights[vertex_index] > previous_height:
             # if it was relabeled, swap elements
             # and start from 0 index
             vertices_list.insert(0 ,						vertices_list.pop(__lowerCamelCase  )  )
             __A   :						Tuple									=					0
         else:
             i += 1

     __A   :						Any									=					sum(self.preflow[self.source_index]  )

 def  UpperCamelCase__(   self ,						__lowerCamelCase  ):



     '''simple docstring'''




     while self.excesses[vertex_index] > 0:
         for neighbour_index in range(self.verticies_count  ):
             # if it's neighbour and current vertex is higher
             if (
                 self.graph[vertex_index][neighbour_index]
                 - self.preflow[vertex_index][neighbour_index]
                 > 0
                 and self.heights[vertex_index] > self.heights[neighbour_index]
             ):
                 self.push(__lowerCamelCase ,						__lowerCamelCase  )

         self.relabel(__lowerCamelCase  )

 def  UpperCamelCase__(   self ,						__lowerCamelCase ,						__lowerCamelCase  ):



     '''simple docstring'''




     __A   :						str									=					min(
         self.excesses[from_index] ,						self.graph[from_index][to_index] - self.preflow[from_index][to_index] ,						)
     self.preflow[from_index][to_index] += preflow_delta
     self.preflow[to_index][from_index] -= preflow_delta
     self.excesses[from_index] -= preflow_delta
     self.excesses[to_index] += preflow_delta







 def  UpperCamelCase__(   self ,						__lowerCamelCase  ):



     '''simple docstring'''




     __A   :						str									=					None
     for to_index in range(self.verticies_count  ):
         if (
             self.graph[vertex_index][to_index]
             - self.preflow[vertex_index][to_index]
             > 0
         ) and (min_height is None or self.heights[to_index] < min_height):
             __A   :						str									=					self.heights[to_index]

     if min_height is not None:
         __A   :						List[Any]									=					min_height + 1


if __name__ == "__main__":
       a_			=      [0]
       a_			=      [3]
       # graph = [
       #     [0, 0, 4, 6, 0, 0],
       #     [0, 0, 5, 2, 0, 0],
       #     [0, 0, 0, 0, 4, 4],
       #     [0, 0, 0, 0, 6, 6],
       #     [0, 0, 0, 0, 0, 0],
       #     [0, 0, 0, 0, 0, 0],
       # ]
       a_			=      [[0, 7, 0, 0], [0, 0, 6, 0], [0, 0, 0, 8], [9, 0, 0, 0]]

       # prepare our network
       a_			=      FlowNetwork(graph, entrances, exits)
       # set algorithm
       flow_network.set_maximum_flow_algorithm(PushRelabelExecutor)
       # and calculate
       a_			=      flow_network.find_maximum_flow()

       print(f'''maximum flow is {maximum_flow}''')






"""simple docstring"""



from pathlib import PurePosixPath
from typing import Optional

import fsspec
from fsspec import AbstractFileSystem
from huggingface_hub.hf_api import DatasetInfo

from ..utils.file_utils import get_authentication_headers_for_url
from ..utils.hub import hf_hub_url






class 		__snake_case (		SCREAMING_SNAKE_CASE__					):





 """simple docstring"""


 _lowerCamelCase				=					""""""
 _lowerCamelCase				=					"""hf-legacy"""  # "hf://"" is reserved for hffs

 def __init__(   self ,						__lowerCamelCase = None ,						__lowerCamelCase = None ,						**__lowerCamelCase ,						):



     '''simple docstring'''




     super().__init__(self ,						**__lowerCamelCase  )
     __A   :						int									=					repo_info
     __A   :						Optional[int]									=					token
     __A   :						int									=					None

 def  UpperCamelCase__(   self  ):



     '''simple docstring'''




     if self.dir_cache is None:
         __A   :						int									=					{}
         for hf_file in self.repo_info.siblings:
             # TODO(QL): add sizes
             __A   :						Tuple									=					{
                 '''name''': hf_file.rfilename,
                 '''size''': None,
                 '''type''': '''file''',
             }
             self.dir_cache.update(
                 {
                     str(__lowerCamelCase  ): {'''name''': str(__lowerCamelCase  ), '''size''': None, '''type''': '''directory'''}
                     for d in list(PurePosixPath(hf_file.rfilename  ).parents  )[:-1]
                 }  )

 def  UpperCamelCase__(   self ,						__lowerCamelCase ,						__lowerCamelCase = "rb" ,						**__lowerCamelCase ,						):



     '''simple docstring'''




     if not isinstance(self.repo_info ,						__lowerCamelCase  ):
         raise NotImplementedError(F"""Open is only implemented for dataset repositories, but got {self.repo_info}"""  )
     __A   :						Union[str, Any]									=					hf_hub_url(self.repo_info.id ,						__lowerCamelCase ,						revision=self.repo_info.sha  )
     return fsspec.open(
         __lowerCamelCase ,						mode=__lowerCamelCase ,						headers=get_authentication_headers_for_url(__lowerCamelCase ,						use_auth_token=self.token  ) ,						client_kwargs={'''trust_env''': True} ,						).open()

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



     '''simple docstring'''




     self._get_dirs()
     __A   :						Optional[Any]									=					self._strip_protocol(__lowerCamelCase  )
     if path in self.dir_cache:
         return self.dir_cache[path]
     else:
         raise FileNotFoundError(__lowerCamelCase  )







 def  UpperCamelCase__(   self ,						__lowerCamelCase ,						__lowerCamelCase=False ,						**__lowerCamelCase  ):



     '''simple docstring'''




     self._get_dirs()
     __A   :						Any									=					PurePosixPath(path.strip('''/'''  )  )
     __A   :						Any									=					{}
     for p, f in self.dir_cache.items():
         __A   :						List[Any]									=					PurePosixPath(p.strip('''/'''  )  )
         __A   :						Dict									=					p.parent
         if root == path:
             __A   :						Union[str, Any]									=					f
     __A   :						List[str]									=					list(paths.values()  )
     if detail:
         return out
     else:
         return sorted(f['''name'''] for f in out  )




