Bakayev E.V.

There are 99 sticks with lengths $1,2,3, \ldots, 99$. Can a contour of some rectangle be formed from them?
For example, from sticks of lengths 1, 2, 3, we can form two sides of length 3, and the remaining matches can be divided into 48 pairs with a sum of lengths 103:

$\{4,99\},\{5,98\}, \ldots,\{51,52\}$ and form two sides of length $24 \cdot 103=2472$.

## Answer

It is possible.