1. Can 2016 integers be chosen such that their product is 9 and their sum is zero?
Answer: possible.

Solution. Example: 1007 ones, one 3 (these are positive) and their opposites (these are negative).

Remark. There are other examples. 1004 ones, 2 threes, and 1010 negative ones. Another example can be obtained by replacing all numbers with their opposites.

## Grading criteria.

Any correct example: 7 points.