Our main contribution here is the discovery of a new family of Standard Tableaux $ {\cal T}^k_n $ which are in bijection with the family ${\cal D}_{m,n}$ of Rational Dyck paths for $m=k\times n\pm1$ (the so called ``Fuss'' case). Using this family we give a new proof of the invertibility of the Sweep map in the Fuss case by means of a very simple explicit algorithm. This is joint work with Guoce Xin.