数学竞赛题(英文的)5.(a) In a tiddlywinks tournament seven people pla

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数学竞赛题(英文的)
5.(a) In a tiddlywinks tournament seven people play each other once,
with 2
points for a win,1 point for a draw,and 0 points for a loss.During
the
tournament the players only know the results of their own games.How
may
points must a player score in order to be sure of finishing in the top
three(i.e.scoring more than at least four other players)?
(b) Suppose there are n players.how many points must one score in
order to
be sure of finishing in the top

在一个挑圆片（我也不知道是啥）的比赛中七个人分别两两对决一次,胜得2分,平得1分,负得0分.在比赛中玩家只知道他们自己的比赛结果（就是只知道自己的分数,不知道其他人的）,某个玩家必须获得前三名,那他至少要获得多少分,也就是至少比其他四个人的分数高
7C2=21,总共要进行21场比赛,总共就有42分.想想看最坏的情况就是前四名非常接近,而另外三个非常废,另外三个再废,他们之间要比赛3场,所以总共还是能够得6分,所以还剩下36分,平均九分,也就是如果前四个都获得9分的话会产生并列,但根据题目后面的i.e.,说明要获得10分,就可以确保获得top3,答案就是10,over
第二题同理,算起来太繁了

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