Some students hold a chess round-robin match, each two players have to play one game, the winner gets 4 points, the tie gets 2 points, and the loser gets 0 points. Now five students have counted the total points of all the players, which are 1297, 1298, 1299, 1300, 1301, but only one statistic is correct. Ask how many students participated in the competition.
一些同学举行象棋循环赛，每两人都要赛一场，胜者得4分，平局各得2分，负者得0分，现有五位同学统计了全部选手的总分，分别是1297，1298，1299，1300，1301，但只有一个统计数字是正确的．问有多少同学参加比赛．
<result>25</result>