



"""simple docstring"""





class  _lowerCAmelCase     :





		"""simple docstring"""






		def __init__(       self				,     _lowercase				,     _lowercase				,     _lowercase )			->    Union[str, Any]:







								'''simple docstring'''

								snake_case_ :			List[str]            =      None
								snake_case_ :			List[Any]            =      None
								snake_case_ :			Tuple            =      graph

								self._normalize_graph(_lowercase				,     _lowercase )
								snake_case_ :			Optional[Any]            =      len(_lowercase )
								snake_case_ :			List[str]            =      None





		def  UpperCAmelCase__				(       self				,     _lowercase				,     _lowercase )			->    Tuple:







								'''simple docstring'''

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

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

								snake_case_ :			Union[str, Any]            =      sources[0]
								snake_case_ :			int            =      sinks[0]

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

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

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





		def  UpperCAmelCase__				(       self )			->    Tuple:







								'''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				,     _lowercase )			->    Union[str, Any]:







								'''simple docstring'''

								snake_case_ :			Any            =      algorithm(self )




class  _lowerCAmelCase     :





		"""simple docstring"""






		def __init__(       self				,     _lowercase )			->    Any:







								'''simple docstring'''

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





		def  UpperCAmelCase__				(       self )			->    Tuple:







								'''simple docstring'''

								if not self.executed:
														self._algorithm()
														snake_case_ :			Optional[Any]            =      True





		def  UpperCAmelCase__				(       self )			->    Optional[Any]:







								'''simple docstring'''

								pass




class  _lowerCAmelCase     (					SCREAMING_SNAKE_CASE__		):





		"""simple docstring"""






		def __init__(       self				,     _lowercase )			->    List[Any]:







								'''simple docstring'''

								super().__init__(_lowercase )
								# use this to save your result
								snake_case_ :			Any            =      -1





		def  UpperCAmelCase__				(       self )			->    Tuple:







								'''simple docstring'''

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

								return self.maximum_flow




class  _lowerCAmelCase     (					SCREAMING_SNAKE_CASE__		):





		"""simple docstring"""






		def __init__(       self				,     _lowercase )			->    Optional[int]:







								'''simple docstring'''

								super().__init__(_lowercase )

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

								snake_case_ :			List[str]            =      [0] * self.verticies_count
								snake_case_ :			List[Any]            =      [0] * self.verticies_count





		def  UpperCAmelCase__				(       self )			->    str:







								'''simple docstring'''

								snake_case_ :			Optional[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
								snake_case_ :			Any            =      [
								    i
								    for i in range(self.verticies_count )
								    if i != self.source_index and i != self.sink_index
								]

								# move through list
								snake_case_ :			int            =      0
								while i < len(_lowercase ):
														snake_case_ :			Tuple            =      vertices_list[i]
														snake_case_ :			List[str]            =      self.heights[vertex_index]
														self.process_vertex(_lowercase )
														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(_lowercase ) )
																				snake_case_ :			Dict            =      0
														else:
																				i += 1

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





		def  UpperCAmelCase__				(       self				,     _lowercase )			->    Optional[int]:







								'''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(_lowercase				,     _lowercase )

														self.relabel(_lowercase )





		def  UpperCAmelCase__				(       self				,     _lowercase				,     _lowercase )			->    str:







								'''simple docstring'''

								snake_case_ :			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				,     _lowercase )			->    Union[str, Any]:







								'''simple docstring'''

								snake_case_ :			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):
																				snake_case_ :			str            =      self.heights[to_index]

								if min_height is not None:
														snake_case_ :			List[str]            =      min_height + 1


if __name__ == "__main__":
					__lowerCAmelCase							:       int          =       [0]
					__lowerCAmelCase							:       List[Any]          =       [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							:       str          =       [[0, 7, 0, 0], [0, 0, 6, 0], [0, 0, 0, 8], [9, 0, 0, 0]]

					# prepare our network
					__lowerCAmelCase							:       Dict          =       FlowNetwork(graph, entrances, exits)
					# set algorithm
					flow_network.set_maximum_flow_algorithm(PushRelabelExecutor)
					# and calculate
					__lowerCAmelCase							:       Optional[Any]          =       flow_network.find_maximum_flow()

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




def a(lowercase__						):





	'''simple docstring'''
	snake_case_   		=			len(lowercase__						)
	for _ in range(lowercase__						):
		for i in range(_ % 2      ,			arr_size - 1      ,			2						):
			if arr[i + 1] < arr[i]:
				snake_case_		,							snake_case_   		=			arr[i + 1], arr[i]

	return arr


if __name__ == "__main__":
		A									=  list(range(10, 0, -1))
		print(f"""Original: {arr}. Sorted: {odd_even_transposition(arr)}""")
