Euclidean hypersurfaces with genuine deformations in codimension two

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We classify hypersurfaces of rank two of Euclidean space $${\mathbb{R}^{n+1}}$$ that admit genuine isometric deformations in $${\mathbb{R}^{n+2}}$$ . That an isometric immersion $${\hat{f}\colon M^n \to \mathbb{R}^{n+2}}$$ is a genuine isometric deformation of a hypersurface $${f\colon M^n\to\mathbb{R}^{n+1}}$$ means that $${\hat f}$$ is nowhere a composition $${\hat f=\hat F\circ f}$$ , where $${\hat{F} \colon V\subset \mathbb{R}^{n+1} \to\mathbb{R}^{n+2}}$$ is an isometric immersion of an open subset V containing the hypersurface.