# Problem 1.

At robot running competitions, a certain number of mechanisms were presented. The robots were released on the same distance in pairs. The protocol recorded the differences in the finish times of the winner and the loser in each of the races. All of them turned out to be different: $\mathbf{1}$ sec., $\mathbf{2}$ sec., 3 sec., $\mathbf{4}$ sec., $\mathbf{5}$ sec., 6 sec. It is known that during the races, each robot competed with each other exactly once, and that each robot always ran at the same speed. Determine the number of mechanisms presented at the races, as well as the time it took each of them to complete the distance, if the best time to complete the distance was 30 seconds.
Answer: $30,32,35,36$ or $30,31,34,36$.