from __future__ import annotations

from scipy.special import comb  # type: ignore






class 		_lowerCamelCase		:
    def __init__(  self , lowerCAmelCase   )       ->					Optional[Any]:
     SCREAMING_SNAKE_CASE__:   Dict=      list_of_points
     # Degree determines the flexibility of the curve.
     # Degree = 1 will produce a straight line.
     SCREAMING_SNAKE_CASE__:   Union[str, Any]=      len(lowerCAmelCase   ) - 1
    def 						UpperCamelCase_				(  self , lowerCAmelCase   )       ->					list[float]:
     assert 0 <= t <= 1, "Time t must be between 0 and 1."
     SCREAMING_SNAKE_CASE__:   list[float]=      []
     for i in range(len(self.list_of_points   )   ):
      # basis function for each i
      output_values.append(
          comb(self.degree , lowerCAmelCase   ) * ((1 - t) ** (self.degree - i)) * (t**i)   )
     # the basis must sum up to 1 for it to produce a valid Bezier curve.
     assert round(sum(lowerCAmelCase   ) , 5   ) == 1
     return output_values
    def 						UpperCamelCase_				(  self , lowerCAmelCase   )       ->					tuple[float, float]:
     assert 0 <= t <= 1, "Time t must be between 0 and 1."

     SCREAMING_SNAKE_CASE__:   Optional[Any]=      self.basis_function(lowerCAmelCase   )
     SCREAMING_SNAKE_CASE__:   str=      0.0
     SCREAMING_SNAKE_CASE__:   int=      0.0
     for i in range(len(self.list_of_points   )   ):
      # For all points, sum up the product of i-th basis function and i-th point.
      x += basis_function[i] * self.list_of_points[i][0]
      y += basis_function[i] * self.list_of_points[i][1]
     return (x, y)



    def 						UpperCamelCase_				(  self , lowerCAmelCase = 0.01   )       ->					Optional[int]:
     from matplotlib import pyplot as plt  # type: ignore

     SCREAMING_SNAKE_CASE__:   list[float]=      []  # x coordinates of points to plot
     SCREAMING_SNAKE_CASE__:   list[float]=      []  # y coordinates of points to plot

     SCREAMING_SNAKE_CASE__:   Optional[Any]=      0.0
     while t <= 1:
      SCREAMING_SNAKE_CASE__:   Dict=      self.bezier_curve_function(lowerCAmelCase   )
      to_plot_x.append(value[0]   )
      to_plot_y.append(value[1]   )
      t += step_size

     SCREAMING_SNAKE_CASE__:   str=      [i[0] for i in self.list_of_points]
     SCREAMING_SNAKE_CASE__:   Any=      [i[1] for i in self.list_of_points]

     plt.plot(
         lowerCAmelCase , lowerCAmelCase , color='''blue''' , label='''Curve of Degree ''' + str(self.degree   ) , )
     plt.scatter(lowerCAmelCase , lowerCAmelCase , color='''red''' , label='''Control Points'''   )
     plt.legend()
     plt.show()


if __name__ == "__main__":
      import doctest

      doctest.testmod()

      BezierCurve([(1, 2), (3, 5)]).plot_curve()  # degree 1
      BezierCurve([(0, 0), (5, 5), (5, 0)]).plot_curve()  # degree 2
      BezierCurve([(0, 0), (5, 5), (5, 0), (2.5, -2.5)]).plot_curve()  # degree 3


from __future__ import annotations

from statistics import mean







def 			A__      (	snake_case_ :		list[int]       ,				snake_case_ :		list[int]       ,				snake_case_ :		int      ):
 SCREAMING_SNAKE_CASE__:   Dict=      [0] * no_of_processes
 SCREAMING_SNAKE_CASE__:   Dict=      [0] * no_of_processes

 # Initialize remaining_time to waiting_time.

 for i in range(snake_case_      ):
  SCREAMING_SNAKE_CASE__:   List[str]=      burst_time[i]
 SCREAMING_SNAKE_CASE__:   list[int]=      []

 SCREAMING_SNAKE_CASE__:   List[Any]=      0
 SCREAMING_SNAKE_CASE__:   List[Any]=      0

 # When processes are not completed,
 # A process whose arrival time has passed \
 # and has remaining execution time is put into the ready_process.
 # The shortest process in the ready_process, target_process is executed.

 while completed != no_of_processes:
  SCREAMING_SNAKE_CASE__:   Optional[int]=      []
  SCREAMING_SNAKE_CASE__:   List[str]=      -1

  for i in range(snake_case_      ):
   if (arrival_time[i] <= total_time) and (remaining_time[i] > 0):
    ready_process.append(snake_case_      )

  if len(snake_case_      ) > 0:
   SCREAMING_SNAKE_CASE__:   Optional[int]=      ready_process[0]
   for i in ready_process:
    if remaining_time[i] < remaining_time[target_process]:
     SCREAMING_SNAKE_CASE__:   int=      i
   total_time += burst_time[target_process]
   completed += 1
   SCREAMING_SNAKE_CASE__:   str=      0
   SCREAMING_SNAKE_CASE__:   Tuple=      (
       total_time - arrival_time[target_process] - burst_time[target_process]
   )
  else:
   total_time += 1

 return waiting_time







def 			A__      (	snake_case_ :		list[int]       ,				snake_case_ :		int       ,				snake_case_ :		list[int]      ):
 SCREAMING_SNAKE_CASE__:   List[str]=      [0] * no_of_processes
 for i in range(snake_case_      ):
  SCREAMING_SNAKE_CASE__:   Dict=      burst_time[i] + waiting_time[i]
 return turn_around_time


if __name__ == "__main__":
      print('[TEST CASE 01]')

      lowercase_     :   List[Any] 				=				4
      lowercase_     :   str 				=				[2, 5, 3, 7]
      lowercase_     :   Union[str, Any] 				=				[0, 0, 0, 0]
      lowercase_     :   Any 				=				calculate_waitingtime(arrival_time, burst_time, no_of_processes)
      lowercase_     :   Optional[Any] 				=				calculate_turnaroundtime(
          burst_time, no_of_processes, waiting_time
      )

      # Printing the Result
      print('PID\tBurst Time\tArrival Time\tWaiting Time\tTurnaround Time')
      for i, process_id in enumerate(list(range(1, 5))):
            print(
                f'''{process_id}\t{burst_time[i]}\t\t\t{arrival_time[i]}\t\t\t\t'''
                f'''{waiting_time[i]}\t\t\t\t{turn_around_time[i]}'''
            )
      print(f'''\nAverage waiting time = {mean(waiting_time):.5f}''')
      print(f'''Average turnaround time = {mean(turn_around_time):.5f}''')

