1. In a certain kingdom, taverns belong to three companies. To prevent monopoly, the king issued the following decree: if on a certain day, the number of taverns belonging to a certain company exceeds half of the total number, and the number of taverns is divisible by 5, then the company can only retain $\frac{1}{5}$ of the taverns and must close the rest. Is it possible that after three days, the number of taverns for each company has decreased? (No new taverns can be opened during this period)
1. Possible.

For example: Suppose at the beginning, three companies own $60$, $35$, and $20$ pubs, respectively. On the first day, the first company has to close $48$ pubs, leaving $12$, $35$, and $20$ pubs, respectively; on the second day, the second company closes $28$ pubs, leaving $12$, $7$, and $20$ pubs, respectively; on the third day, the third company closes $16$ pubs. Thus, the number of pubs owned by each company has decreased.
Note: The example is not unique.