# Task 8. (16 points)

Let all companies in the country have a certain rank, which is a natural number. When two companies of ranks $m$ and $n$ merge, a new company of rank $(m+n)$ is formed. The profit of the resulting company will be $m \cdot n$ more than the sum of the profits of the companies forming it. The profit of a company of the first rank is 1 d.e. Is there a rank at which the profit of the company will be 2016 d.e.?