





def 			SCREAMING_SNAKE_CASE__     (					_lowercase    :   list[list[int]]      ,						_lowercase    :   list[list[int]] )      ->       list[list[int]]:




		'''simple docstring'''
		lowercase__				:			List[Any]            =		[]
		lowercase__				:			Optional[Any]            =		len(_lowercase )
		for i in range(_lowercase ):
				lowercase__				:			List[str]            =		[]
				for j in range(_lowercase ):
						lowercase__				:			Optional[int]            =		0
						for k in range(_lowercase ):
								lowercase__				:			List[Any]            =		val + matrix_a[i][k] * matrix_b[k][j]
						list_a.append(_lowercase )
				matrix_c.append(_lowercase )
		return matrix_c


def 			SCREAMING_SNAKE_CASE__     (					_lowercase    :   int )      ->       list[list[int]]:




		'''simple docstring'''
		return [[int(row == column ) for column in range(_lowercase )] for row in range(_lowercase )]


def 			SCREAMING_SNAKE_CASE__     (					_lowercase    :   int )      ->       int:




		'''simple docstring'''
		if n <= 1:
				return n
		lowercase__				:			List[Any]            =		identity(2 )
		lowercase__				:			Dict            =		[[1, 1], [1, 0]]
		lowercase__				:			Optional[Any]            =		n - 1
		while n > 0:
				if n % 2 == 1:
						lowercase__				:			str            =		multiply(_lowercase      ,						_lowercase )
				lowercase__				:			Any            =		multiply(_lowercase      ,						_lowercase )
				lowercase__				:			List[str]            =		int(n / 2 )
		return res_matrix[0][0]


def 			SCREAMING_SNAKE_CASE__     (					_lowercase    :   int )      ->       int:




		'''simple docstring'''
		if n <= 1:
				return n
		lowercase__				:			Union[str, Any]            =		0
		lowercase__				:			Any            =		1
		for _ in range(2      ,						n + 1 ):
				lowercase__      ,							lowercase__				:			str            =		fiba, fiba + fiba
		return fiba


def 			SCREAMING_SNAKE_CASE__     (					)      ->       None:




		'''simple docstring'''
		for ordinal in "0th 1st 2nd 3rd 10th 100th 1000th".split():
				lowercase__				:			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(_lowercase )} and using bruteforce is """
				    f"""{nth_fibonacci_bruteforce(_lowercase )}\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()









def 			SCREAMING_SNAKE_CASE__     (					_lowercase    :   int )      ->       bool:




		'''simple docstring'''
		lowercase__				:			Optional[int]            =		9

		while num > 0:
				if num % 10 != digit:
						return False
				num //= 100
				digit -= 1

		return True


def 			SCREAMING_SNAKE_CASE__     (					)      ->       int:




		'''simple docstring'''
		lowercase__				:			List[str]            =		138_902_663

		while not is_square_form(num * num ):
				if num % 10 == 3:
						num -= 6  # (3 - 6) % 10 = 7
				else:
						num -= 4  # (7 - 4) % 10 = 3

		return num * 10


if __name__ == "__main__":
			print(F'{solution() = }')


