There are n = 2k athletes to play tennis in a tournament. You are asked to design a competition schedule that meets the following requirements: 1. (1) Each player must play once with each of the other n - 1 players; 2. (2) Each player can only participate in one play a day; 3. (3) The tournament ends in n - 1 days. According to this requirement, the game schedule is designed as a table with n rows and n 1 columns. In the e-th row of the table, the j-th column is filled with the player that the i-th player encountered on the jth day. where 1