


def SCREAMING_SNAKE_CASE_  (				__lowerCamelCase:		list[list[int]]  ,			__lowerCamelCase:		list[list[int]]  ):







	'''simple docstring'''



	lowercase_			 = []
	lowercase_			 = len(__lowerCamelCase  )
	for i in range(__lowerCamelCase  ):
		lowercase_			 = []
		for j in range(__lowerCamelCase  ):
			lowercase_			 = 0
			for k in range(__lowerCamelCase  ):
				lowercase_			 = val + matrix_a[i][k] * matrix_b[k][j]
			list_a.append(__lowerCamelCase  )
		matrix_c.append(__lowerCamelCase  )
	return matrix_c




def SCREAMING_SNAKE_CASE_  (				__lowerCamelCase:		int  ):







	'''simple docstring'''



	return [[int(row == column  ) for column in range(__lowerCamelCase  )] for row in range(__lowerCamelCase  )]




def SCREAMING_SNAKE_CASE_  (				__lowerCamelCase:		int  ):







	'''simple docstring'''



	if n <= 1:
		return n
	lowercase_			 = identity(2  )
	lowercase_			 = [[1, 1], [1, 0]]
	lowercase_			 = n - 1
	while n > 0:
		if n % 2 == 1:
			lowercase_			 = multiply(__lowerCamelCase  ,			__lowerCamelCase  )
		lowercase_			 = multiply(__lowerCamelCase  ,			__lowerCamelCase  )
		lowercase_			 = int(n / 2  )
	return res_matrix[0][0]




def SCREAMING_SNAKE_CASE_  (				__lowerCamelCase:		int  ):







	'''simple docstring'''



	if n <= 1:
		return n
	lowercase_			 = 0
	lowercase_			 = 1
	for _ in range(2  ,			n + 1  ):
		lowercase_ ,	lowercase_			 = fiba, fiba + fiba
	return fiba




def SCREAMING_SNAKE_CASE_  (				):







	'''simple docstring'''



	for ordinal in "0th 1st 2nd 3rd 10th 100th 1000th".split():
		lowercase_			 = 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(__lowerCamelCase  )} and using bruteforce is '
		    F'{nth_fibonacci_bruteforce(__lowerCamelCase  )}\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()





from __future__ import annotations

from statistics import mean




def SCREAMING_SNAKE_CASE_  (				__lowerCamelCase:		list[int]  ):







	'''simple docstring'''



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




def SCREAMING_SNAKE_CASE_  (				__lowerCamelCase:		list[int]  ,			__lowerCamelCase:		list[int]  ):







	'''simple docstring'''



	return [burst + waiting for burst, waiting in zip(__lowerCamelCase  ,			__lowerCamelCase  )]


if __name__ == "__main__":
							SCREAMING_SNAKE_CASE__       			=				[3, 5, 7]
							SCREAMING_SNAKE_CASE__       			=				calculate_waiting_times(burst_times)
							SCREAMING_SNAKE_CASE__       			=				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}""")

