






"""simple docstring"""
class _lowerCAmelCase						:







						def __init__(    self   ,				lowerCAmelCase_   ,				lowerCAmelCase_   ,				lowerCAmelCase_							)		->							int:
										_SCREAMING_SNAKE_CASE   :		List[Any]       		=    None
										_SCREAMING_SNAKE_CASE   :		Optional[int]       		=    None
										_SCREAMING_SNAKE_CASE   :		str       		=    graph

										self._normalize_graph(lowerCAmelCase_   ,				lowerCAmelCase_							)
										_SCREAMING_SNAKE_CASE   :		List[str]       		=    len(lowerCAmelCase_							)
										_SCREAMING_SNAKE_CASE   :		List[str]       		=    None







						def 			A      (    self   ,				lowerCAmelCase_   ,				lowerCAmelCase_							)		->							Union[str, Any]:
										if sources is int:
														_SCREAMING_SNAKE_CASE   :		Tuple       		=    [sources]
										if sinks is int:
														_SCREAMING_SNAKE_CASE   :		List[str]       		=    [sinks]

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

										_SCREAMING_SNAKE_CASE   :		Optional[int]       		=    sources[0]
										_SCREAMING_SNAKE_CASE   :		List[str]       		=    sinks[0]

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

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

														_SCREAMING_SNAKE_CASE   :		Dict       		=    len(self.graph							) + 1
														for room in self.graph:
																		room.append(0							)
														self.graph.append([0] * size							)
														for i in sinks:
																		_SCREAMING_SNAKE_CASE   :		str       		=    max_input_flow
														_SCREAMING_SNAKE_CASE   :		Optional[Any]       		=    size - 1







						def 			A      (    self							)		->							Optional[Any]:
										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 			A      (    self   ,				lowerCAmelCase_							)		->							List[Any]:
										_SCREAMING_SNAKE_CASE   :		List[Any]       		=    algorithm(self							)







class _lowerCAmelCase						:







						def __init__(    self   ,				lowerCAmelCase_							)		->							Dict:
										_SCREAMING_SNAKE_CASE   :		Any       		=    flow_network
										_SCREAMING_SNAKE_CASE   :		Dict       		=    flow_network.verticesCount
										_SCREAMING_SNAKE_CASE   :		Optional[Any]       		=    flow_network.sourceIndex
										_SCREAMING_SNAKE_CASE   :		Any       		=    flow_network.sinkIndex
										# it's just a reference, so you shouldn't change
										# it in your algorithms, use deep copy before doing that
										_SCREAMING_SNAKE_CASE   :		str       		=    flow_network.graph
										_SCREAMING_SNAKE_CASE   :		Optional[int]       		=    False







						def 			A      (    self							)		->							List[Any]:
										if not self.executed:
														self._algorithm()
														_SCREAMING_SNAKE_CASE   :		str       		=    True







						def 			A      (    self							)		->							Any:
										pass







class _lowerCAmelCase						(    __UpperCAmelCase       ):







						def __init__(    self   ,				lowerCAmelCase_							)		->							Union[str, Any]:
										super().__init__(lowerCAmelCase_							)
										# use this to save your result
										_SCREAMING_SNAKE_CASE   :		Tuple       		=    -1







						def 			A      (    self							)		->							List[Any]:
										if not self.executed:
														raise Exception('You should execute algorithm before using its result!'							)

										return self.maximum_flow







class _lowerCAmelCase						(    __UpperCAmelCase       ):







						def __init__(    self   ,				lowerCAmelCase_							)		->							Dict:
										super().__init__(lowerCAmelCase_							)

										_SCREAMING_SNAKE_CASE   :		List[str]       		=    [[0] * self.verticies_count for i in range(self.verticies_count							)]

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







						def 			A      (    self							)		->							Optional[int]:
										_SCREAMING_SNAKE_CASE   :		int       		=    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
										_SCREAMING_SNAKE_CASE   :		Tuple       		=    [
										    i
										    for i in range(self.verticies_count							)
										    if i != self.source_index and i != self.sink_index
										]

										# move through list
										_SCREAMING_SNAKE_CASE   :		Tuple       		=    0
										while i < len(lowerCAmelCase_							):
														_SCREAMING_SNAKE_CASE   :		Any       		=    vertices_list[i]
														_SCREAMING_SNAKE_CASE   :		Optional[Any]       		=    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_							)							)
																		_SCREAMING_SNAKE_CASE   :		Optional[Any]       		=    0
														else:
																		i += 1

										_SCREAMING_SNAKE_CASE   :		int       		=    sum(self.preflow[self.source_index]							)







						def 			A      (    self   ,				lowerCAmelCase_							)		->							List[str]:
										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 			A      (    self   ,				lowerCAmelCase_   ,				lowerCAmelCase_							)		->							str:
										_SCREAMING_SNAKE_CASE   :		int       		=    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 			A      (    self   ,				lowerCAmelCase_							)		->							Any:
										_SCREAMING_SNAKE_CASE   :		Dict       		=    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):
																		_SCREAMING_SNAKE_CASE   :		int       		=    self.heights[to_index]

										if min_height is not None:
														_SCREAMING_SNAKE_CASE   :		Optional[int]       		=    min_height + 1


if __name__ == "__main__":
			lowerCAmelCase__    						=			[0]
			lowerCAmelCase__    						=			[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],
			# ]
			lowerCAmelCase__    						=			[[0, 7, 0, 0], [0, 0, 6, 0], [0, 0, 0, 8], [9, 0, 0, 0]]

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

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









"""simple docstring"""
import functools
import logging
import os
import sys
import threading
from logging import (
    CRITICAL,  # NOQA
    DEBUG,  # NOQA
    ERROR,  # NOQA
    FATAL,  # NOQA
    INFO,  # NOQA
    NOTSET,  # NOQA
    WARN,  # NOQA
    WARNING,  # NOQA
)
from typing import Optional

import huggingface_hub.utils as hf_hub_utils
from tqdm import auto as tqdm_lib


lowerCAmelCase__    						=			threading.Lock()
lowerCAmelCase__    						=			None

lowerCAmelCase__    						=			{
    'debug': logging.DEBUG,
    'info': logging.INFO,
    'warning': logging.WARNING,
    'error': logging.ERROR,
    'critical': logging.CRITICAL,
}

lowerCAmelCase__    						=			logging.WARNING

lowerCAmelCase__    						=			True





def 				lowercase__		(					):
				_SCREAMING_SNAKE_CASE   :		int       		=    os.getenv('TRANSFORMERS_VERBOSITY',						lowerCamelCase       )
				if env_level_str:
								if env_level_str in log_levels:
												return log_levels[env_level_str]
								else:
												logging.getLogger().warning(
												    f"""Unknown option TRANSFORMERS_VERBOSITY={env_level_str}, """
												    f"""has to be one of: { ", ".join(log_levels.keys()       ) }"""       )
				return _default_log_level





def 				lowercase__		(					):
				return __name__.split('.'       )[0]





def 				lowercase__		(					):
				return logging.getLogger(_get_library_name()       )





def 				lowercase__		(					):
				global _default_handler

				with _lock:
								if _default_handler:
												# This library has already configured the library root logger.
												return
								_SCREAMING_SNAKE_CASE   :		Optional[int]       		=    logging.StreamHandler()  # Set sys.stderr as stream.
								_SCREAMING_SNAKE_CASE   :		Tuple       		=    sys.stderr.flush

								# Apply our default configuration to the library root logger.
								_SCREAMING_SNAKE_CASE   :		Union[str, Any]       		=    _get_library_root_logger()
								library_root_logger.addHandler(_default_handler       )
								library_root_logger.setLevel(_get_default_logging_level()       )
								_SCREAMING_SNAKE_CASE   :		int       		=    False





def 				lowercase__		(					):
				global _default_handler

				with _lock:
								if not _default_handler:
												return

								_SCREAMING_SNAKE_CASE   :		Any       		=    _get_library_root_logger()
								library_root_logger.removeHandler(_default_handler       )
								library_root_logger.setLevel(logging.NOTSET       )
								_SCREAMING_SNAKE_CASE   :		Optional[Any]       		=    None





def 				lowercase__		(					):
				return log_levels





def 				lowercase__		(					lowerCamelCase = None       ):

				if name is None:
								_SCREAMING_SNAKE_CASE   :		Tuple       		=    _get_library_name()

				_configure_library_root_logger()
				return logging.getLogger(lowerCamelCase       )





def 				lowercase__		(					):
				_configure_library_root_logger()
				return _get_library_root_logger().getEffectiveLevel()





def 				lowercase__		(					lowerCamelCase       ):
				_configure_library_root_logger()
				_get_library_root_logger().setLevel(lowerCamelCase       )





def 				lowercase__		(					):
				return set_verbosity(lowerCamelCase       )





def 				lowercase__		(					):
				return set_verbosity(lowerCamelCase       )





def 				lowercase__		(					):
				return set_verbosity(lowerCamelCase       )





def 				lowercase__		(					):
				return set_verbosity(lowerCamelCase       )





def 				lowercase__		(					):
				_configure_library_root_logger()

				assert _default_handler is not None
				_get_library_root_logger().removeHandler(_default_handler       )





def 				lowercase__		(					):
				_configure_library_root_logger()

				assert _default_handler is not None
				_get_library_root_logger().addHandler(_default_handler       )





def 				lowercase__		(					lowerCamelCase       ):
				_configure_library_root_logger()

				assert handler is not None
				_get_library_root_logger().addHandler(lowerCamelCase       )





def 				lowercase__		(					lowerCamelCase       ):
				_configure_library_root_logger()

				assert handler is not None and handler not in _get_library_root_logger().handlers
				_get_library_root_logger().removeHandler(lowerCamelCase       )





def 				lowercase__		(					):
				_configure_library_root_logger()
				_SCREAMING_SNAKE_CASE   :		List[str]       		=    False





def 				lowercase__		(					):
				_configure_library_root_logger()
				_SCREAMING_SNAKE_CASE   :		int       		=    True





def 				lowercase__		(					):
				_SCREAMING_SNAKE_CASE   :		Any       		=    _get_library_root_logger().handlers

				for handler in handlers:
								_SCREAMING_SNAKE_CASE   :		Optional[int]       		=    logging.Formatter('[%(levelname)s|%(filename)s:%(lineno)s] %(asctime)s >> %(message)s'       )
								handler.setFormatter(lowerCamelCase       )





def 				lowercase__		(					):
				_SCREAMING_SNAKE_CASE   :		List[str]       		=    _get_library_root_logger().handlers

				for handler in handlers:
								handler.setFormatter(lowerCamelCase       )





def 				lowercase__		(					self,						*lowerCamelCase,						**lowerCamelCase       ):
				_SCREAMING_SNAKE_CASE   :		str       		=    os.getenv('TRANSFORMERS_NO_ADVISORY_WARNINGS',						lowerCamelCase       )
				if no_advisory_warnings:
								return
				self.warning(*lowerCamelCase,						**lowerCamelCase       )


lowerCAmelCase__    						=			warning_advice





@functools.lru_cache(lowerCamelCase       )
def 				lowercase__		(					self,						*lowerCamelCase,						**lowerCamelCase       ):
				self.warning(*lowerCamelCase,						**lowerCamelCase       )


lowerCAmelCase__    						=			warning_once


class _lowerCAmelCase						:







						def __init__(    self   ,				*lowerCAmelCase_   ,				**lowerCAmelCase_							)		->							Optional[int]:  # pylint: disable=unused-argument
										_SCREAMING_SNAKE_CASE   :		Tuple       		=    args[0] if args else None







						def __iter__(    self							)		->							Dict:
										return iter(self._iterator							)







						def __getattr__(    self   ,				lowerCAmelCase_							)		->							Tuple:

										def empty_fn(*lowerCAmelCase_   ,				**lowerCAmelCase_							):  # pylint: disable=unused-argument
														return

										return empty_fn







						def __enter__(    self							)		->							List[Any]:
										return self







						def __exit__(    self   ,				lowerCAmelCase_   ,				lowerCAmelCase_   ,				lowerCAmelCase_							)		->							Optional[Any]:
										return







class _lowerCAmelCase						:







						def __call__(    self   ,				*lowerCAmelCase_   ,				**lowerCAmelCase_							)		->							Optional[Any]:
										if _tqdm_active:
														return tqdm_lib.tqdm(*lowerCAmelCase_   ,				**lowerCAmelCase_							)
										else:
														return EmptyTqdm(*lowerCAmelCase_   ,				**lowerCAmelCase_							)







						def 			A      (    self   ,				*lowerCAmelCase_   ,				**lowerCAmelCase_							)		->							List[str]:
										_SCREAMING_SNAKE_CASE   :		Optional[int]       		=    None
										if _tqdm_active:
														return tqdm_lib.tqdm.set_lock(*lowerCAmelCase_   ,				**lowerCAmelCase_							)







						def 			A      (    self							)		->							Any:
										if _tqdm_active:
														return tqdm_lib.tqdm.get_lock()







lowerCAmelCase__    						=			_tqdm_cls()





def 				lowercase__		(					):
				global _tqdm_active
				return bool(_tqdm_active       )





def 				lowercase__		(					):
				global _tqdm_active
				_SCREAMING_SNAKE_CASE   :		int       		=    True
				hf_hub_utils.enable_progress_bars()






def 				lowercase__		(					):
				global _tqdm_active
				_SCREAMING_SNAKE_CASE   :		Optional[Any]       		=    False
				hf_hub_utils.disable_progress_bars()

