



from __future__ import annotations

from statistics import mean



def  _lowerCAmelCase     (_lowerCAmelCase):
					UpperCamelCase_			= 2
					UpperCamelCase_			= list(_lowerCAmelCase)
					UpperCamelCase_			= [0] * len(_lowerCAmelCase)
					UpperCamelCase_			= 0
					while True:
										UpperCamelCase_			= True
										for i, burst_time in enumerate(_lowerCAmelCase):
															if rem_burst_times[i] > 0:
																				UpperCamelCase_			= False
																				if rem_burst_times[i] > quantum:
																									t += quantum
																									rem_burst_times[i] -= quantum
																				else:
																									t += rem_burst_times[i]
																									UpperCamelCase_			= t - burst_time
																									UpperCamelCase_			= 0
										if done is True:
															return waiting_times



def  _lowerCAmelCase     (_lowerCAmelCase ,						_lowerCAmelCase):
					return [burst + waiting for burst, waiting in zip(_lowerCAmelCase ,						_lowerCAmelCase)]


if __name__ == "__main__":
	UpperCAmelCase :				Optional[Any]							=[3, 5, 7]
	UpperCAmelCase :				Optional[Any]							=calculate_waiting_times(burst_times)
	UpperCAmelCase :				Dict							=calculate_turn_around_times(burst_times, waiting_times)
	print("""Process ID \tBurst Time \tWaiting Time \tTurnaround Time""")
	for i, burst_time in enumerate(burst_times):
		print(
		    F"  {i + 1}\t\t  {burst_time}\t\t  {waiting_times[i]}\t\t  "
		    F"{turn_around_times[i]}"
		)
	print(F"\nAverage waiting time = {mean(waiting_times):.5f}")
	print(F"Average turn around time = {mean(turn_around_times):.5f}")

'''simple docstring'''




def 	_UpperCAmelCase       (				_UpperCamelCase       :      list[list[int]],  _UpperCamelCase       :      list[list[int]]  )      -> list[list[int]]:
    A_      =  []
    A_      =  len(_UpperCamelCase  )
    for i in range(_UpperCamelCase  ):
        A_      =  []
        for j in range(_UpperCamelCase  ):
            A_      =  0
            for k in range(_UpperCamelCase  ):
                A_      =  val + matrix_a[i][k] * matrix_b[k][j]
            list_a.append(_UpperCamelCase  )
        matrix_c.append(_UpperCamelCase  )
    return matrix_c





def 	_UpperCAmelCase       (				_UpperCamelCase       :      int  )      -> list[list[int]]:
    return [[int(row == column  ) for column in range(_UpperCamelCase  )] for row in range(_UpperCamelCase  )]





def 	_UpperCAmelCase       (				_UpperCamelCase       :      int  )      -> int:
    if n <= 1:
        return n
    A_      =  identity(2  )
    A_      =  [[1, 1], [1, 0]]
    A_      =  n - 1
    while n > 0:
        if n % 2 == 1:
            A_      =  multiply(_UpperCamelCase,  _UpperCamelCase  )
        A_      =  multiply(_UpperCamelCase,  _UpperCamelCase  )
        A_      =  int(n / 2  )
    return res_matrix[0][0]





def 	_UpperCAmelCase       (				_UpperCamelCase       :      int  )      -> int:
    if n <= 1:
        return n
    A_      =  0
    A_      =  1
    for _ in range(2,  n + 1  ):
        A_  ,A_      =  fiba, fiba + fiba
    return fiba





def 	_UpperCAmelCase       (				)      -> None:
    for ordinal in "0th 1st 2nd 3rd 10th 100th 1000th".split():
        A_      =  int(''''''.join(c for c in ordinal if c in '''0123456789'''  )  )  # 1000th --> 1000
        print(
            F'''{ordinal} fibonacci number using matrix exponentiation is '''
            F'''{nth_fibonacci_matrix(_UpperCamelCase  )} and using bruteforce is '''
            F'''{nth_fibonacci_bruteforce(_UpperCamelCase  )}\n'''  )
    # from timeit import timeit
    # print(timeit("nth_fibonacci_matrix(1000000)",
    #              "from main import nth_fibonacci_matrix", number=5))
    # print(timeit("nth_fibonacci_bruteforce(1000000)",
    #              "from main import nth_fibonacci_bruteforce", number=5))
    # 2.3342058970001744
    # 57.256506615000035


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  main()






