So, it's just generalizing the arguement that I just gave D sub N is the class of all generalized deragements. no cycles of are equal to M and everything else is the same. so the construction is it's a set of cycles that are bigger than N of atoms. that translates directly to generating functions you just started Z to the M plus one, so it's the same series now starting at Z to the M plus one or that's log of one over one minus Z minus Z squared over Z, Z squared over two all the way up to Z to the M over M. And simplifying that, we have e to the minus z minus e squared over two minus z cubed over three and so forth up to z to the m over m over one minus z. 