Chef and Easy Queries

Chef published a blog post, and is now receiving many queries about it. On day $i$, he receives $Q_i$ queries. But Chef can answer at most $k$ queries in a single day. Chef always answers the maximum number of questions that he can on any given day (note however that this cannot be more than $k$). The remaining questions (if any) will be carried over to the next day. Fortunately, after $n$