




def 		_lowerCamelCase					(       UpperCamelCase       ,  UpperCamelCase				)      ->		list[list[int]]:





  """simple docstring"""





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


def 		_lowerCamelCase					(       UpperCamelCase				)      ->		list[list[int]]:





  """simple docstring"""





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


def 		_lowerCamelCase					(       UpperCamelCase				)      ->		int:





  """simple docstring"""





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


def 		_lowerCamelCase					(       UpperCamelCase				)      ->		int:





  """simple docstring"""





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


def 		_lowerCamelCase					(       )      ->		None:





  """simple docstring"""





  for ordinal in "0th 1st 2nd 3rd 10th 100th 1000th".split():
    _lowercase:			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(UpperCamelCase				)} and using bruteforce is '
        F'{nth_fibonacci_bruteforce(UpperCamelCase				)}\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 random
import sys

UpperCAmelCase__    :							str       		=     'ABCDEFGHIJKLMNOPQRSTUVWXYZ'


def 		_lowerCamelCase					(       )      ->		None:





  """simple docstring"""





  _lowercase:			Any      =     input('Enter message: '				)
  _lowercase:			List[str]      =     'LFWOAYUISVKMNXPBDCRJTQEGHZ'
  _lowercase:			Tuple      =     input('Encrypt/Decrypt [e/d]: '				)

  check_valid_key(UpperCamelCase				)

  if resp.lower().startswith('e'				):
    _lowercase:			int      =     'encrypt'
    _lowercase:			Optional[int]      =     encrypt_message(UpperCamelCase       ,  UpperCamelCase				)
  elif resp.lower().startswith('d'				):
    _lowercase:			str      =     'decrypt'
    _lowercase:			Dict      =     decrypt_message(UpperCamelCase       ,  UpperCamelCase				)

  print(F'\n{mode.title()}ion: \n{translated}'				)


def 		_lowerCamelCase					(       UpperCamelCase				)      ->		None:





  """simple docstring"""





  _lowercase:			List[Any]      =     list(UpperCamelCase				)
  _lowercase:			Union[str, Any]      =     list(UpperCamelCase				)
  key_list.sort()
  letters_list.sort()

  if key_list != letters_list:
    sys.exit('Error in the key or symbol set.'				)


def 		_lowerCamelCase					(       UpperCamelCase       ,  UpperCamelCase				)      ->		str:





  """simple docstring"""





  return translate_message(UpperCamelCase       ,  UpperCamelCase       ,  'encrypt'				)


def 		_lowerCamelCase					(       UpperCamelCase       ,  UpperCamelCase				)      ->		str:





  """simple docstring"""





  return translate_message(UpperCamelCase       ,  UpperCamelCase       ,  'decrypt'				)


def 		_lowerCamelCase					(       UpperCamelCase       ,  UpperCamelCase       ,  UpperCamelCase				)      ->		str:





  """simple docstring"""





  _lowercase:			Optional[int]      =     ''
  _lowercase:			Any      =     LETTERS
  _lowercase:			Tuple      =     key

  if mode == "decrypt":
    _lowercase  ,       _lowercase:			Tuple      =     chars_b, chars_a

  for symbol in message:
    if symbol.upper() in chars_a:
      _lowercase:			int      =     chars_a.find(symbol.upper()				)
      if symbol.isupper():
        translated += chars_b[sym_index].upper()
      else:
        translated += chars_b[sym_index].lower()
    else:
      translated += symbol

  return translated


def 		_lowerCamelCase					(       )      ->		str:





  """simple docstring"""





  _lowercase:			Union[str, Any]      =     list(UpperCamelCase				)
  random.shuffle(UpperCamelCase				)
  return "".join(UpperCamelCase				)


if __name__ == "__main__":
   main()
