

"""simple docstring"""




def   __SCREAMING_SNAKE_CASE		(		lowercase__     ,				lowercase__ ):
					"""simple docstring"""
					A     =   []
					A     =   len(lowercase__ )
					for i in range(lowercase__ ):
										A     =   []
										for j in range(lowercase__ ):
															A     =   0
															for k in range(lowercase__ ):
																				A     =   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__ ):
					"""simple docstring"""
					return [[int(row == column ) for column in range(lowercase__ )] for row in range(lowercase__ )]
def   __SCREAMING_SNAKE_CASE		(		lowercase__ ):
					"""simple docstring"""
					if n <= 1:
										return n
					A     =   identity(2 )
					A     =   [[1, 1], [1, 0]]
					A     =   n - 1
					while n > 0:
										if n % 2 == 1:
															A     =   multiply(lowercase__     ,				lowercase__ )
										A     =   multiply(lowercase__     ,				lowercase__ )
										A     =   int(n / 2 )
					return res_matrix[0][0]
def   __SCREAMING_SNAKE_CASE		(		lowercase__ ):
					"""simple docstring"""
					if n <= 1:
										return n
					A     =   0
					A     =   1
					for _ in range(2     ,				n + 1 ):
										A     ,       A     =   fiba, fiba + fiba
					return fiba
def   __SCREAMING_SNAKE_CASE		(		):
					"""simple docstring"""
					for ordinal in "0th 1st 2nd 3rd 10th 100th 1000th".split():
										A     =   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   UpperCamelCase(   lowercase_				)      ->							float:





  '''simple docstring'''





  return -num if num < 0 else num



def   UpperCamelCase(   lowercase_				)      ->							int:





  '''simple docstring'''





  if len(lowercase_				) == 0:
    raise ValueError("""abs_min() arg is an empty sequence"""				)
  snake_case_					= x[0]
  for i in x:
    if abs_val(lowercase_				) < abs_val(lowercase_				):
      snake_case_					= i
  return j



def   UpperCamelCase(   lowercase_				)      ->							int:





  '''simple docstring'''





  if len(lowercase_				) == 0:
    raise ValueError("""abs_max() arg is an empty sequence"""				)
  snake_case_					= x[0]
  for i in x:
    if abs(lowercase_				) > abs(lowercase_				):
      snake_case_					= i
  return j



def   UpperCamelCase(   lowercase_				)      ->							int:





  '''simple docstring'''





  if len(lowercase_				) == 0:
    raise ValueError("""abs_max_sort() arg is an empty sequence"""				)
  return sorted(lowercase_     ,   key=lowercase_				)[-1]



def   UpperCamelCase(   )      ->							List[Any]:





  '''simple docstring'''





  assert abs_val(0				) == 0
  assert abs_val(34				) == 34
  assert abs_val(-100000000000				) == 100000000000

  snake_case_					= [-3, -1, 2, -11]
  assert abs_max(lowercase_				) == -11
  assert abs_max_sort(lowercase_				) == -11
  assert abs_min(lowercase_				) == -1


if __name__ == "__main__":
    import doctest

    doctest.testmod()

    test_abs_val()
    print(abs_val(-34))  # --> 34