def METHOD_NAME(self, g):
    r"""
    Counit, on basis elements, as per :meth:`HopfAlgebrasWithBasis.ParentMethods.counit_on_basis`.
    The counit on the basis elements is 1.
    EXAMPLES::
        sage: A = HopfAlgebrasWithBasis(QQ).example()
        sage: (a, b) = A._group.gens()
        sage: A.counit_on_basis(a)
        1
    """
    return self.base_ring().one()