




def  snake_case (							A						,       A      )							->							list[list[int]]:




	'''simple docstring'''


	lowerCamelCase_							:		Tuple							       =							[]
	lowerCamelCase_							:		Union[str, Any]							       =							len(A      )
	for i in range(A      ):
		lowerCamelCase_							:		Tuple							       =							[]
		for j in range(A      ):
			lowerCamelCase_							:		Optional[Any]							       =							0
			for k in range(A      ):
				lowerCamelCase_							:		str							       =							val + matrix_a[i][k] * matrix_b[k][j]
			list_a.append(A      )
		matrix_c.append(A      )
	return matrix_c






def  snake_case (							A      )							->							list[list[int]]:




	'''simple docstring'''


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






def  snake_case (							A      )							->							int:




	'''simple docstring'''


	if n <= 1:
		return n
	lowerCamelCase_							:		Optional[Any]							       =							identity(2      )
	lowerCamelCase_							:		Optional[int]							       =							[[1, 1], [1, 0]]
	lowerCamelCase_							:		Any							       =							n - 1
	while n > 0:
		if n % 2 == 1:
			lowerCamelCase_							:		Any							       =							multiply(A						,       A      )
		lowerCamelCase_							:		Any							       =							multiply(A						,       A      )
		lowerCamelCase_							:		Union[str, Any]							       =							int(n / 2      )
	return res_matrix[0][0]






def  snake_case (							A      )							->							int:




	'''simple docstring'''


	if n <= 1:
		return n
	lowerCamelCase_							:		Dict							       =							0
	lowerCamelCase_							:		Optional[Any]							       =							1
	for _ in range(2						,       n + 1      ):
		lowerCamelCase_							:		Optional[int]							       =							fiba, fiba + fiba
	return fiba






def  snake_case (							)							->							None:




	'''simple docstring'''


	for ordinal in "0th 1st 2nd 3rd 10th 100th 1000th".split():
		lowerCamelCase_							:		Optional[Any]							       =							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(A      )} and using bruteforce is "
		    f"{nth_fibonacci_bruteforce(A      )}\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 typing import Callable






def  snake_case (							A      )							->							List[str]:




	'''simple docstring'''


	def wrapper(A      ):
		lowerCamelCase_							:		Dict							       =							function_with_docstring.__doc__
		return target_function

	return wrapper
