






from statistics import mean

import numpy as np





def 					lowercase_ (    __snake_case     :							list	,	__snake_case     :							list	,	__snake_case     :							list	,	__snake_case     :							int      )     -> list:





				'''simple docstring'''


				snake_case__      :str         =   0
				# Number of processes finished
				snake_case__      :List[Any]         =   0
				# Displays the finished process.
				# If it is 0, the performance is completed if it is 1, before the performance.
				snake_case__      :str         =   [0] * no_of_process
				# List to include calculation results
				snake_case__      :Any         =   [0] * no_of_process

				# Sort by arrival time.
				snake_case__      :Tuple         =   [burst_time[i] for i in np.argsort(__snake_case      )]
				snake_case__      :Optional[Any]         =   [process_name[i] for i in np.argsort(__snake_case      )]
				arrival_time.sort()

				while no_of_process > finished_process_count:
								snake_case__      :str         =   0
								while finished_process[i] == 1:
												i += 1
								if current_time < arrival_time[i]:
												snake_case__      :Optional[int]         =   arrival_time[i]

								snake_case__      :Dict         =   0
								# Index showing the location of the process being performed
								snake_case__      :Optional[int]         =   0
								# Saves the current response ratio.
								snake_case__      :List[str]         =   0
								for i in range(0	,	__snake_case      ):
												if finished_process[i] == 0 and arrival_time[i] <= current_time:
																snake_case__      :int         =   (burst_time[i] + (current_time - arrival_time[i])) / burst_time[
																    i
																]
												if response_ratio < temp:
																snake_case__      :Dict         =   temp
																snake_case__      :List[Any]         =   i

        # Calculate the turn around time
								snake_case__      :List[Any]         =   current_time + burst_time[loc] - arrival_time[loc]
								current_time += burst_time[loc]
								# Indicates that the process has been performed.
								snake_case__      :List[Any]         =   1
								# Increase finished_process_count by 1
								finished_process_count += 1

				return turn_around_time





def 					lowercase_ (    __snake_case     :							list	,	__snake_case     :							list	,	__snake_case     :							list	,	__snake_case     :							int      )     -> list:





				'''simple docstring'''


				snake_case__      :Any         =   [0] * no_of_process
				for i in range(0	,	__snake_case      ):
								snake_case__      :Optional[Any]         =   turn_around_time[i] - burst_time[i]
				return waiting_time


if __name__ == "__main__":
	__UpperCAmelCase							:   Optional[Any]							=  5
	__UpperCAmelCase							:   Any							=  ["A", "B", "C", "D", "E"]
	__UpperCAmelCase							:   str							=  [1, 2, 3, 4, 5]
	__UpperCAmelCase							:   Any							=  [1, 2, 3, 4, 5]

	__UpperCAmelCase							:   str							=  calculate_turn_around_time(
	    process_name, arrival_time, burst_time, no_of_process
	)
	__UpperCAmelCase							:   Tuple							=  calculate_waiting_time(
	    process_name, turn_around_time, burst_time, no_of_process
	)

	print("Process name \tArrival time \tBurst time \tTurn around time \tWaiting time")
	for i in range(0, no_of_process):
		print(
		    F'''{process_name[i]}\t\t{arrival_time[i]}\t\t{burst_time[i]}\t\t'''
		    F'''{turn_around_time[i]}\t\t\t{waiting_time[i]}'''
		)

	print(F'''average waiting time : {mean(waiting_time):.5f}''')
	print(F'''average turn around time : {mean(turn_around_time):.5f}''')







def 					lowercase_ (    __snake_case     :							int      )     -> bool:





				'''simple docstring'''


				if p < 2:
								raise ValueError("p should not be less than 2!"      )
				elif p == 2:
								return True

				snake_case__      :List[str]         =   4
				snake_case__      :Optional[int]         =   (1 << p) - 1
				for _ in range(p - 2      ):
								snake_case__      :List[Any]         =   ((s * s) - 2) % m
				return s == 0


if __name__ == "__main__":
	print(lucas_lehmer_test(7))
	print(lucas_lehmer_test(1_1))