Y by ImSh95
10. Let
be an odd number and let
be an integer such that
. IN a sports tournament,
players take part in a series of contests. In each contest,
players participate, and the scores obtained by the players are the numbers
in some order. Each possible subset of
players takes part together in exactly one contest. let the final score of player
be
, for each
. Define
to be the smallest difference between the final scores of two players, i.e.,
Determine, with proof, the maximum possible value of
.












