[ Processes and Operations ]

Authors: Martynov P., Martynova N.
Paddy is stored in the warehouses of two stores: on the first warehouse, there is 16 tons more than on the second. Every night
at midnight, the owner of each store steals a quarter of the paddy available on the competitor's warehouse
and moves it to their own warehouse. After 10 nights, the thieves were caught. On which warehouse was there more paddy at the moment of their arrest
and by how much?
Let at some point before midnight, the first warehouse has $d$ tons of millet more than the second. At the moment of the theft, this difference decreases by $d / 4$, and at the moment when the stolen grain reaches the "foreign" warehouse, it decreases by another $d / 4$. Thus, every night the difference is halved. Since at the beginning this difference was 16 tons, after 10 nights it will be equal to $16: 2^{10}=2^{-6}$ tons.

## Answer

The problem