


"""simple docstring"""







def _A		(		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 _A		(		lowercase						):







    """simple docstring"""
    return [[int(row == column						) for column in range(lowercase						)] for row in range(lowercase						)]
def _A		(		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 _A		(		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 _A		(		):







    """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()



"""simple docstring"""







import pytest

from datasets.utils.version import Version
@pytest.mark.parametrize(
    '''other, expected_equality'''			,       [
        (Version('''1.0.0'''						), True),
        ('''1.0.0''', True),
        (Version('''2.0.0'''						), False),
        ('''2.0.0''', False),
        ('''1''', False),
        ('''a''', False),
        (1, False),
        (None, False),
    ]			,       )
def _A		(		lowercase			,       lowercase						):







    """simple docstring"""
    a											=Version('''1.0.0'''						)
    assert (version == other) is expected_equality
    assert (version != other) is not expected_equality
    assert (hash(lowercase						) == hash(lowercase						)) is expected_equality