






"""simple docstring"""
def        lowerCamelCase_  (						_lowerCamelCase			,   _lowerCamelCase				):
 lowerCamelCase__     :			Any     				=						[]
 lowerCamelCase__     :			int     				=						len(_lowerCamelCase				)
 for i in range(_lowerCamelCase				):
  lowerCamelCase__     :			Union[str, Any]     				=						[]
  for j in range(_lowerCamelCase				):
   lowerCamelCase__     :			int     				=						0
   for k in range(_lowerCamelCase				):
    lowerCamelCase__     :			int     				=						val + matrix_a[i][k] * matrix_b[k][j]
   list_a.append(_lowerCamelCase				)
  matrix_c.append(_lowerCamelCase				)
 return matrix_c






def        lowerCamelCase_  (						_lowerCamelCase				):
 return [[int(row == column				) for column in range(_lowerCamelCase				)] for row in range(_lowerCamelCase				)]






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






def        lowerCamelCase_  (						_lowerCamelCase				):
 if n <= 1:
  return n
 lowerCamelCase__     :			str     				=						0
 lowerCamelCase__     :			int     				=						1
 for _ in range(2			,   n + 1				):
  lowerCamelCase__				,     lowerCamelCase__     :			Optional[int]     				=						fiba, fiba + fiba
 return fiba






def        lowerCamelCase_  (						):
 for ordinal in "0th 1st 2nd 3rd 10th 100th 1000th".split():
  lowerCamelCase__     :			str     				=						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()








# tests directory-specific settings - this file is run automatically
# by pytest before any tests are run

import sys
import warnings
from os.path import abspath, dirname, join


# allow having multiple repository checkouts and not needing to remember to rerun
# 'pip install -e .[dev]' when switching between checkouts and running tests.
_lowerCamelCase       =	abspath(join(dirname(dirname(dirname(__file__))), 'src'))
sys.path.insert(1, git_repo_path)


# silence FutureWarning warnings in tests since often we can't act on them until
# they become normal warnings - i.e. the tests still need to test the current functionality
warnings.simplefilter(action='ignore', category=FutureWarning)






def  SCREAMING_SNAKE_CASE__							(				UpperCamelCase__:							Tuple			):
		from transformers.testing_utils import pytest_addoption_shared

		pytest_addoption_shared(UpperCamelCase__			)






def  SCREAMING_SNAKE_CASE__							(				UpperCamelCase__:							Tuple			):
		from transformers.testing_utils import pytest_terminal_summary_main

		SCREAMING_SNAKE_CASE__								=					terminalreporter.config.getoption("""--make-reports"""			)
		if make_reports:
				pytest_terminal_summary_main(UpperCamelCase__    ,      id=UpperCamelCase__			)