Five sports teams compete in a commercial football match. It was originally planned that every two teams would play one game, but due to insufficient funds, some of the games were canceled. Finally, it was found that the points obtained by each team were different, and from the point table, no team had 0 points. Points are calculated as follows: 3 points for each win, 0 points for each loss, and 1 point for each tie. Just ask, how many games can there be at least in this game.
五个运动队参加商业足球比赛．原计划每两个队都要比赛一场，但由于经费不足，取消了其中一些比赛场次，最终发现各个队所得的积分各不相同，而且从积分表上看，没有一个队的积分为0．积分的计算办法是：每赢一场得3分，每输一场得0分，每平一场得1分．试问，这次比赛最少可能有多少场．
<result>6</result>