


from __future__ import annotations

import pandas as pd




def     UpperCamelCase    (      _a       ,		_a       ,		_a		)					->							list[int]:
     '''simple docstring'''





     lowercase_       :List[Any]     =       [0] * no_of_processes
     lowercase_       :Optional[int]     =       [0] * no_of_processes
     # Copy the burst time into remaining_time[]
     for i in range(_a		):
          lowercase_       :Optional[Any]     =       burst_time[i]

     lowercase_       :Optional[Any]     =       0
     lowercase_       :int     =       0
     lowercase_       :Optional[int]     =       9_9_9_9_9_9_9_9_9
     lowercase_       :int     =       0
     lowercase_       :Tuple     =       False

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

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

          lowercase_       :int     =       remaining_time[short]
          if minm == 0:
               lowercase_       :List[Any]     =       9_9_9_9_9_9_9_9_9

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

               # Find finish time of current process
               lowercase_       :Optional[Any]     =       increment_time + 1

               # Calculate waiting time
               lowercase_       :Optional[int]     =       finish_time - arrival_time[short]
               lowercase_       :Any     =       finar - burst_time[short]

               if waiting_time[short] < 0:
                    lowercase_       :Any     =       0

        # Increment time
          increment_time += 1
     return waiting_time




def     UpperCamelCase    (      _a       ,		_a       ,		_a		)					->							list[int]:
     '''simple docstring'''





     lowercase_       :Any     =       [0] * no_of_processes
     for i in range(_a		):
          lowercase_       :Union[str, Any]     =       burst_time[i] + waiting_time[i]
     return turn_around_time




def     UpperCamelCase    (      _a       ,		_a       ,		_a		)					->							None:
     '''simple docstring'''





     lowercase_       :Optional[int]     =       0
     lowercase_       :Optional[Any]     =       0
     for i in range(_a		):
          lowercase_       :Optional[int]     =       total_waiting_time + waiting_time[i]
          lowercase_       :List[Any]     =       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")
   SCREAMING_SNAKE_CASE       :		List[Any]         =				int(input())
   SCREAMING_SNAKE_CASE       :		List[Any]         =				[0] * no_of_processes
   SCREAMING_SNAKE_CASE       :		Optional[int]         =				[0] * no_of_processes
   SCREAMING_SNAKE_CASE       :		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))
      SCREAMING_SNAKE_CASE       :		Union[str, Any]         =				map(int, input().split())

   SCREAMING_SNAKE_CASE       :		Optional[Any]         =				calculate_waitingtime(arrival_time, burst_time, no_of_processes)

   SCREAMING_SNAKE_CASE       :		Optional[int]         =				burst_time
   SCREAMING_SNAKE_CASE       :		Tuple         =				no_of_processes
   SCREAMING_SNAKE_CASE       :		List[str]         =				waiting_time
   SCREAMING_SNAKE_CASE       :		Tuple         =				calculate_turnaroundtime(bt, n, wt)

   calculate_average_times(waiting_time, turn_around_time, no_of_processes)

   SCREAMING_SNAKE_CASE       :		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)





from math import sqrt

import numpy as np
from sympy import symbols

# Coefficient
# Speed of light (m/s)
SCREAMING_SNAKE_CASE       :		int         =				299_792_458

# Symbols
SCREAMING_SNAKE_CASE     ,		SCREAMING_SNAKE_CASE     ,		SCREAMING_SNAKE_CASE     ,		SCREAMING_SNAKE_CASE       :		Optional[Any]         =				symbols("ct x y z")




def     UpperCamelCase    (      _a		)					->							float:
     '''simple docstring'''





     if velocity > c:
          raise ValueError('''Speed must not exceed light speed 299,792,458 [m/s]!'''		)
     elif velocity < 1:
          # Usually the speed should be much higher than 1 (c order of magnitude)
          raise ValueError('''Speed must be greater than or equal to 1!'''		)

     return velocity / c




def     UpperCamelCase    (      _a		)					->							float:
     '''simple docstring'''





     return 1 / sqrt(1 - beta(_a		) ** 2		)




def     UpperCamelCase    (      _a		)					->							np.ndarray:
     '''simple docstring'''





     return np.array(
         [
             [gamma(_a		), -gamma(_a		) * beta(_a		), 0, 0],
             [-gamma(_a		) * beta(_a		), gamma(_a		), 0, 0],
             [0, 0, 1, 0],
             [0, 0, 0, 1],
         ]		)




def     UpperCamelCase    (      _a       ,		_a = None		)					->							np.ndarray:
     '''simple docstring'''





     if event is None:
          lowercase_       :Optional[int]     =       np.array([ct, x, y, z]		)  # Symbolic four vector
     else:
          event[0] *= c  # x0 is ct (speed of light * time)

     return transformation_matrix(_a		) @ event


if __name__ == "__main__":
   import doctest

   doctest.testmod()

   # Example of symbolic vector:
   SCREAMING_SNAKE_CASE       :		List[str]         =				transform(29_979_245)
   print("Example of four vector: ")
   print(f"ct' = {four_vector[0]}")
   print(f"x' = {four_vector[1]}")
   print(f"y' = {four_vector[2]}")
   print(f"z' = {four_vector[3]}")

   # Substitute symbols with numerical values
   SCREAMING_SNAKE_CASE       :		Optional[int]         =				{ct: c, x: 1, y: 1, z: 1}
   SCREAMING_SNAKE_CASE       :		str         =				[four_vector[i].subs(sub_dict) for i in range(4)]

   print(f"\n{numerical_vector}")

