Recently, Viet and Kurosawa proposed a VCS with reversing, which is a Visual Cryptography Scheme(VCS) where every participant is allowed to change black pixels on the transparency to white pixels and vice-versa. The contrast of their scheme is almost ideal, depending on the number of the reconstruction runs performed. Before long, S. Cimato et al. proposed two VCSs with reversing where the contrast of the reconstructed secret image is ideal. However, both Cimato et al.'s schemes cannot be decrypted solely with the human eye. In this paper we propose a new ideal VCS with reversing which is compatible and requires less stacking and reversing operations compared to all previous schemes. Each participant is required to store only two transparencies to reconstruct the ideal contrast secret image.