Does \\( F := \lfloor −/3\rfloor \\) have a right adjoint \\( R : \mathbb{N} \rightarrow \mathbb{N} \\) ?

![Figure](https://docs.google.com/drawings/d/e/2PACX-1vTf9K8GHxaW4CnUKC5WcHXtXcqd56CzOfiEvzzc5SjtKeIruTOaHBs5JPp_DELiHBuADrh4gBsYFGk6/pub?w=755&h=190)

If not, why?

If so, does its right adjoint have a right adjoint?