MathDB

Each of the

9

referees on the figure skating championship estimates the program of

20

sportsmen by assigning him a place (from

1

20

). The winner is determined by adding those numbers. (The less is the sum - the higher is the final place). It was found, that for the each sportsman, the difference of the places, received from the different referees was not greater than

3

. What can be the maximal sum for the winner?

Problem Statement