

'''simple docstring'''





def 						__SCREAMING_SNAKE_CASE      (SCREAMING_SNAKE_CASE__						,	SCREAMING_SNAKE_CASE__ ):
						snake_case_     =			[]
						snake_case_     =			len(SCREAMING_SNAKE_CASE__ )
						for i in range(SCREAMING_SNAKE_CASE__ ):
												snake_case_     =			[]
												for j in range(SCREAMING_SNAKE_CASE__ ):
																		snake_case_     =			0
																		for k in range(SCREAMING_SNAKE_CASE__ ):
																								snake_case_     =			val + matrix_a[i][k] * matrix_b[k][j]
																		list_a.append(SCREAMING_SNAKE_CASE__ )
												matrix_c.append(SCREAMING_SNAKE_CASE__ )
						return matrix_c


def 						__SCREAMING_SNAKE_CASE      (SCREAMING_SNAKE_CASE__ ):
						return [[int(row == column ) for column in range(SCREAMING_SNAKE_CASE__ )] for row in range(SCREAMING_SNAKE_CASE__ )]


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


def 						__SCREAMING_SNAKE_CASE      (SCREAMING_SNAKE_CASE__ ):
						if n <= 1:
												return n
						snake_case_     =			0
						snake_case_     =			1
						for _ in range(2						,	n + 1 ):
												snake_case_,					snake_case_     =			fiba, fiba + fiba
						return fiba


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


import warnings

from .generation import GenerationMixin





class 			snake_case_     (	__A      ):







			'''simple docstring'''

			warnings.warn(
			    "Importing `GenerationMixin` from `src/transformers/generation_utils.py` is deprecated and will "
			    "be removed in Transformers v5. Import as `from transformers import GenerationMixin` instead."			, __A			, )