






"""simple docstring"""







class   UpperCamelCase_ :



  def __init__(      self ,		snake_case__ ,		snake_case__ ,		snake_case__				)			->			List[str]:



         """simple docstring"""





         UpperCAmelCase	    =			None
         UpperCAmelCase	    =			None
         UpperCAmelCase	    =			graph

         self._normalize_graph(snake_case__ ,		snake_case__				)
         UpperCAmelCase	    =			len(snake_case__				)
         UpperCAmelCase	    =			None



  def 		UpperCamelCase_				(      self ,		snake_case__ ,		snake_case__				)			->			Optional[int]:



         """simple docstring"""





         if sources is int:
                UpperCAmelCase	    =			[sources]
         if sinks is int:
                UpperCAmelCase	    =			[sinks]

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

         UpperCAmelCase	    =			sources[0]
         UpperCAmelCase	    =			sinks[0]

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

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

                UpperCAmelCase	    =			len(self.graph				) + 1
                for room in self.graph:
                       room.append(0				)
                self.graph.append([0] * size				)
                for i in sinks:
                       UpperCAmelCase	    =			max_input_flow
                UpperCAmelCase	    =			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 ,		snake_case__				)			->			str:



         """simple docstring"""





         UpperCAmelCase	    =			algorithm(self				)





class   UpperCamelCase_ :



  def __init__(      self ,		snake_case__				)			->			str:



         """simple docstring"""





         UpperCAmelCase	    =			flow_network
         UpperCAmelCase	    =			flow_network.verticesCount
         UpperCAmelCase	    =			flow_network.sourceIndex
         UpperCAmelCase	    =			flow_network.sinkIndex
         # it's just a reference, so you shouldn't change
         # it in your algorithms, use deep copy before doing that
         UpperCAmelCase	    =			flow_network.graph
         UpperCAmelCase	    =			False



  def 		UpperCamelCase_				(      self				)			->			Optional[int]:



         """simple docstring"""





         if not self.executed:
                self._algorithm()
                UpperCAmelCase	    =			True



  def 		UpperCamelCase_				(      self				)			->			Tuple:



         """simple docstring"""





         pass





class   UpperCamelCase_ (       a_  ):



  def __init__(      self ,		snake_case__				)			->			Dict:



         """simple docstring"""





         super().__init__(snake_case__				)
         # use this to save your result
         UpperCAmelCase	    =			-1



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



         """simple docstring"""





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

         return self.maximum_flow





class   UpperCamelCase_ (       a_  ):



  def __init__(      self ,		snake_case__				)			->			str:



         """simple docstring"""





         super().__init__(snake_case__				)

         UpperCAmelCase	    =			[[0] * self.verticies_count for i in range(self.verticies_count				)]

         UpperCAmelCase	    =			[0] * self.verticies_count
         UpperCAmelCase	    =			[0] * self.verticies_count



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



         """simple docstring"""





         UpperCAmelCase	    =			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
         UpperCAmelCase	    =			[
             i
             for i in range(self.verticies_count				)
             if i != self.source_index and i != self.sink_index
         ]

         # move through list
         UpperCAmelCase	    =			0
         while i < len(snake_case__				):
                UpperCAmelCase	    =			vertices_list[i]
                UpperCAmelCase	    =			self.heights[vertex_index]
                self.process_vertex(snake_case__				)
                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(snake_case__				)				)
                       UpperCAmelCase	    =			0
                else:
                       i += 1

         UpperCAmelCase	    =			sum(self.preflow[self.source_index]				)



  def 		UpperCamelCase_				(      self ,		snake_case__				)			->			Union[str, Any]:



         """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(snake_case__ ,		snake_case__				)

                self.relabel(snake_case__				)



  def 		UpperCamelCase_				(      self ,		snake_case__ ,		snake_case__				)			->			Union[str, Any]:



         """simple docstring"""





         UpperCAmelCase	    =			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 ,		snake_case__				)			->			Optional[Any]:



         """simple docstring"""





         UpperCAmelCase	    =			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):
                       UpperCAmelCase	    =			self.heights[to_index]

         if min_height is not None:
                UpperCAmelCase	    =			min_height + 1


if __name__ == "__main__":
 lowerCAmelCase_	:    str            =      [0]
 lowerCAmelCase_	:    Optional[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_	:    Union[str, Any]            =      [[0, 7, 0, 0], [0, 0, 6, 0], [0, 0, 0, 8], [9, 0, 0, 0]]

 # prepare our network
 lowerCAmelCase_	:    Optional[Any]            =      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}')








"""simple docstring"""







from __future__ import annotations

import pandas as pd






def       _lowerCAmelCase       (      lowerCAmelCase	,      lowerCAmelCase	,      lowerCAmelCase		):







       '''simple docstring'''
       UpperCAmelCase	    =			[0] * no_of_processes
       UpperCAmelCase	    =			[0] * no_of_processes
       # Copy the burst time into remaining_time[]
       for i in range(lowerCAmelCase		):
              UpperCAmelCase	    =			burst_time[i]

       UpperCAmelCase	    =			0
       UpperCAmelCase	    =			0
       UpperCAmelCase	    =			999999999
       UpperCAmelCase	    =			0
       UpperCAmelCase	    =			False

       # Process until all processes are completed
       while complete != no_of_processes:
              for j in range(lowerCAmelCase		):
                     if arrival_time[j] <= increment_time and remaining_time[j] > 0:
                            if remaining_time[j] < minm:
                                   UpperCAmelCase	    =			remaining_time[j]
                                   UpperCAmelCase	    =			j
                                   UpperCAmelCase	    =			True

              if not check:
                     increment_time += 1
                     continue
              remaining_time[short] -= 1

              UpperCAmelCase	    =			remaining_time[short]
              if minm == 0:
                     UpperCAmelCase	    =			999999999

              if remaining_time[short] == 0:
                     complete += 1
                     UpperCAmelCase	    =			False

                     # Find finish time of current process
                     UpperCAmelCase	    =			increment_time + 1

                     # Calculate waiting time
                     UpperCAmelCase	    =			finish_time - arrival_time[short]
                     UpperCAmelCase	    =			finar - burst_time[short]

                     if waiting_time[short] < 0:
                            UpperCAmelCase	    =			0

        # Increment time
              increment_time += 1
       return waiting_time






def       _lowerCAmelCase       (      lowerCAmelCase	,      lowerCAmelCase	,      lowerCAmelCase		):







       '''simple docstring'''
       UpperCAmelCase	    =			[0] * no_of_processes
       for i in range(lowerCAmelCase		):
              UpperCAmelCase	    =			burst_time[i] + waiting_time[i]
       return turn_around_time






def       _lowerCAmelCase       (      lowerCAmelCase	,      lowerCAmelCase	,      lowerCAmelCase		):







       '''simple docstring'''
       UpperCAmelCase	    =			0
       UpperCAmelCase	    =			0
       for i in range(lowerCAmelCase		):
              UpperCAmelCase	    =			total_waiting_time + waiting_time[i]
              UpperCAmelCase	    =			total_turn_around_time + turn_around_time[i]
       print(F'''Average waiting time = {total_waiting_time / no_of_processes:.5f}'''		)
       print("""Average turn around time ="""	,      total_turn_around_time / no_of_processes		)


if __name__ == "__main__":
 print('''Enter how many process you want to analyze''')
 lowerCAmelCase_	:    Optional[Any]            =      int(input())
 lowerCAmelCase_	:    List[Any]            =      [0] * no_of_processes
 lowerCAmelCase_	:    Optional[Any]            =      [0] * no_of_processes
 lowerCAmelCase_	:    int            =      list(range(1, no_of_processes + 1))

 for i in range(no_of_processes):
  print('''Enter the arrival time and burst time for process:--''' + str(i + 1))
  lowerCAmelCase_     ,					lowerCAmelCase_	:    Optional[Any]            =      map(int, input().split())

 lowerCAmelCase_	:    str            =      calculate_waitingtime(arrival_time, burst_time, no_of_processes)

 lowerCAmelCase_	:    str            =      burst_time
 lowerCAmelCase_	:    List[Any]            =      no_of_processes
 lowerCAmelCase_	:    int            =      waiting_time
 lowerCAmelCase_	:    int            =      calculate_turnaroundtime(bt, n, wt)

 calculate_average_times(waiting_time, turn_around_time, no_of_processes)

 lowerCAmelCase_	:    List[Any]            =      pd.DataFrame(
     list(zip(processes, burst_time, arrival_time, waiting_time, turn_around_time)),
     columns=[
         '''Process''',
         '''BurstTime''',
         '''ArrivalTime''',
         '''WaitingTime''',
         '''TurnAroundTime''',
     ],
 )

 # Printing the dataFrame
 pd.set_option('''display.max_rows''', fcfs.shape[0] + 1)
 print(fcfs)
