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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def lu_slogdet(LU):
 r"""Natural logarithm of a LU decomposition. Args: LU (tuple):
 LU decomposition. Returns: tuple: sign and log-determinant. """

    LU = (asarray(LU[0], float), asarray(LU[1], float))
    adet = _sum(log(_abs(LU[0].diagonal())))

    s = prod(sign(LU[0].diagonal()))

    nrows_exchange = LU[1].size - _sum(LU[1] == arange(LU[1].size, dtype="int32"))

    odd = nrows_exchange % 2 == 1
    if odd:
        s *= -1.0

    return (s, adet)