The perfectly-synchronized round-based model provides the powerful abstraction of crash-stop failures with atomic and synchronous message delivery. This abstraction makes distributed programming very easy.We describe a technique to automatically transform protocols devised in the perfectly-synchronized round-based model into protocols for the crash, send omission, general omission or Byzantine models. Our transformation is achieved using a round shifting technique with a constant time complexity overhead. The overhead depends on the target model: crashes, send omissions, general omissions or Byzantine failures. Rather surprisingly, we show that no other automatic non-uniform transformation from a weaker model, say from the traditional crash-stop model (with no atomic message delivery), onto an even stronger model than the general-omission one, say the send-omission model, can provide a better time complexity performance in a failure-free execution.