MathDB

Each of the

15

coaches ranked the

50

selected football players on the places from

1

50

. For each football player, the highest and lowest obtained ranks differ by at most

5

. For each of the players, the sum of the ranks he obtained is computed, and the sums are denoted by

S_1\le S_2\le\ldots\le S_{50}

. Find the largest possible value of

S_1

Problem Statement