





"""simple docstring"""
def 		_SCREAMING_SNAKE_CASE			(_UpperCAmelCase					:    int  ,     _UpperCAmelCase					:    list			):
 _enforce_args(_UpperCAmelCase  ,     _UpperCAmelCase			)
 if n == 0:
  return 0
 lowerCAmelCase    				= float('-inf'			)
 for i in range(1  ,     n + 1			):
  lowerCAmelCase    				= max(
      _UpperCAmelCase  ,     prices[i - 1] + naive_cut_rod_recursive(n - i  ,     _UpperCAmelCase			)			)

 return max_revue

def 		_SCREAMING_SNAKE_CASE			(_UpperCAmelCase					:    int  ,     _UpperCAmelCase					:    list			):
 _enforce_args(_UpperCAmelCase  ,     _UpperCAmelCase			)
 lowerCAmelCase    				= [float('-inf'			) for _ in range(n + 1			)]
 return _top_down_cut_rod_recursive(_UpperCAmelCase  ,     _UpperCAmelCase  ,     _UpperCAmelCase			)

def 		_SCREAMING_SNAKE_CASE			(_UpperCAmelCase					:    int  ,     _UpperCAmelCase					:    list  ,     _UpperCAmelCase					:    list			):
 if max_rev[n] >= 0:
  return max_rev[n]
 elif n == 0:
  return 0
 else:
  lowerCAmelCase    				= float('-inf'			)
  for i in range(1  ,     n + 1			):
   lowerCAmelCase    				= max(
       _UpperCAmelCase  ,     prices[i - 1] + _top_down_cut_rod_recursive(n - i  ,     _UpperCAmelCase  ,     _UpperCAmelCase			)  ,     )

  lowerCAmelCase    				= max_revenue

 return max_rev[n]

def 		_SCREAMING_SNAKE_CASE			(_UpperCAmelCase					:    int  ,     _UpperCAmelCase					:    list			):
 _enforce_args(_UpperCAmelCase  ,     _UpperCAmelCase			)

 # length(max_rev) = n + 1, to accommodate for the revenue obtainable from a rod of
 # length 0.
 lowerCAmelCase    				= [float('-inf'			) for _ in range(n + 1			)]
 lowerCAmelCase    				= 0

 for i in range(1  ,     n + 1			):
  lowerCAmelCase    				= max_rev[i]
  for j in range(1  ,     i + 1			):
   lowerCAmelCase    				= max(_UpperCAmelCase  ,     prices[j - 1] + max_rev[i - j]			)

  lowerCAmelCase    				= max_revenue_i

 return max_rev[n]

def 		_SCREAMING_SNAKE_CASE			(_UpperCAmelCase					:    int  ,     _UpperCAmelCase					:    list			):
 if n < 0:
  lowerCAmelCase    				= F'n must be greater than or equal to 0. Got n = {n}'
  raise ValueError(_UpperCAmelCase			)

 if n > len(_UpperCAmelCase			):
  lowerCAmelCase    				= (
      'Each integral piece of rod must have a corresponding price. '
      F'Got n = {n} but length of prices = {len(_UpperCAmelCase			)}'
  )
  raise ValueError(_UpperCAmelCase			)

def 		_SCREAMING_SNAKE_CASE			():
 lowerCAmelCase    				= [6, 10, 12, 15, 20, 23]
 lowerCAmelCase    				= len(_UpperCAmelCase			)

 # the best revenue comes from cutting the rod into 6 pieces, each
 # of length 1 resulting in a revenue of 6 * 6 = 36.
 lowerCAmelCase    				= 36

 lowerCAmelCase    				= top_down_cut_rod(_UpperCAmelCase  ,     _UpperCAmelCase			)
 lowerCAmelCase    				= bottom_up_cut_rod(_UpperCAmelCase  ,     _UpperCAmelCase			)
 lowerCAmelCase    				= naive_cut_rod_recursive(_UpperCAmelCase  ,     _UpperCAmelCase			)

 assert expected_max_revenue == max_rev_top_down
 assert max_rev_top_down == max_rev_bottom_up
 assert max_rev_bottom_up == max_rev_naive


if __name__ == "__main__":
       main()










from statistics import mean

import numpy as np






def     __a					(		__UpperCAmelCase							,  __UpperCAmelCase							,  __UpperCAmelCase							,  __UpperCAmelCase       ):
 a__												= 0
 # Number of processes finished
 a__												= 0
 # Displays the finished process.
 # If it is 0, the performance is completed if it is 1, before the performance.
 a__												= [0] * no_of_process
 # List to include calculation results
 a__												= [0] * no_of_process

 # Sort by arrival time.
 a__												= [burst_time[i] for i in np.argsort(__UpperCAmelCase       )]
 a__												= [process_name[i] for i in np.argsort(__UpperCAmelCase       )]
 arrival_time.sort()

 while no_of_process > finished_process_count:
  a__												= 0
  while finished_process[i] == 1:
   i += 1
  if current_time < arrival_time[i]:
   a__												= arrival_time[i]

  a__												= 0
  # Index showing the location of the process being performed
  a__												= 0
  # Saves the current response ratio.
  a__												= 0
  for i in range(0							,  __UpperCAmelCase       ):
   if finished_process[i] == 0 and arrival_time[i] <= current_time:
    a__												= (burst_time[i] + (current_time - arrival_time[i])) / burst_time[
        i
    ]
   if response_ratio < temp:
    a__												= temp
    a__												= i

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

 return turn_around_time






def     __a					(		__UpperCAmelCase							,  __UpperCAmelCase							,  __UpperCAmelCase							,  __UpperCAmelCase       ):
 a__												= [0] * no_of_process
 for i in range(0							,  __UpperCAmelCase       ):
  a__												= turn_around_time[i] - burst_time[i]
 return waiting_time


if __name__ == "__main__":
     a_      :      List[Any]    =     5
     a_      :      Optional[int]    =     ['A', 'B', 'C', 'D', 'E']
     a_      :      Union[str, Any]    =     [1, 2, 3, 4, 5]
     a_      :      Dict    =     [1, 2, 3, 4, 5]

     a_      :      List[Any]    =     calculate_turn_around_time(
         process_name, arrival_time, burst_time, no_of_process
     )
     a_      :      int    =     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}')





