5 football teams compete in a single round robin game, that is, each team plays one game against the other pair. Now it is stipulated that a win gets 3 points, a draw gets 1 point, and a loss gets 0 points. If each team wins at least one game and all teams have different points, what is the minimum number of points for the first place?
5支足球队进行比赛，比赛采用单循环制，即每队均与其他各对比赛一场，现规定胜一场得3分，平一场得1分，负一场得0分．如果每一队至少胜一场，并且所有各队的积分都不相同，那么第一名最少得多少分．
<gadget id="calculator">3 * 3</gadget>
<output>9</output>

<gadget id="calculator">9 + 1</gadget>
<output>10</output>

<result>10</result>