A group of friends wants to choose which of seven movies to watch.一群朋友想要从七部电影中选一部来看。
Each friend rates each movie from highest to lowest: 
, 
, 
.每位朋友都按照从高到低的顺序给每部电影打分。
A movie is called a "favorite movie" if none of the friends has given another movie a higher rating.如果朋友中没有人给另一部电影打出更高的评分，那么这部电影就被称为“最喜爱的电影”。
Example:例子:
Movie 1 is NOT a favorite movie because Niklaus gave a higher rating to Movie 4.电影 1 不是最喜欢的电影，因为尼克劳斯给电影 4 的评分更高。
Task:任务:
Make as few changes as possible to the ratings so there is a favorite movie.尽量少改动评分，以便能选出一部最受欢迎的电影。
There are multiple ways to do this.有多种方法可以做到这一点。
(Click on a rating to change it and press 'Save' when you are finished.)（点击一个评分来更改它，完成后点击“保存”。）
Explanation 解释
Answer: 答:
2 changes to the ratings is needed to make a favourite fim.要让一部电影成为热门影片，需要对评分做出 2 处调整。
One possible solution is to change Niklaus and Rósza's ratings for Movie 6.一种可能的解决办法是更改尼古拉斯和罗莎对电影 6 的评分。
There is no way to change only 1 entry such there will be a favourite movie. In the survey, for each movie another movie is rated better by at least two friends:根本无法只更改一项记录就能让某部电影成为最受欢迎的影片。在此次调查中，对于每部电影，至少有两位朋友认为另一部电影更好：
| Movie 电影 | That many friends rated other movies better很多朋友给其他电影的评分更高 |
|---|---|
| 1 | 4: Nancy, Niklaus, Grace, and Rózsa4：南希、尼古拉斯、格蕾丝和罗莎 |
| 2 | 3: Niklaus, Edsger, and Rózsa3：尼克劳斯、艾兹格和罗莎 |
| 3 | 3: Niklaus, Edsger, and Rózsa3：尼克劳斯、艾兹格和罗莎 |
| 4 | 3: Nancy, Edsger, and Rózsa3：南希、艾兹格和罗莎 |
| 5 | 3: Nancy, Grace, and Edsger3：南希、格蕾丝和艾兹格 |
| 6 | 2: Niklaus and Rózsa 2：尼克劳斯和罗莎 |
| 7 | 3: Niklaus, Grace, and Rózsa3：尼克劳斯、格蕾丝和罗莎 |
Now Ada needs to convince Niklaus and Rózsa to change one rating each such that movie 6 will be a favourite movie. Niklaus and Rósza need to improve their ratings for movie 6. Alternatively, they could downgrade their ratings for those movies they rated better than 6: that is movies 4 (Niklaus) and 5 (Rósza). It is easy to see, however, that Ada needs to consider rating improvements in similar future situations.
现在阿达需要说服尼克劳斯和罗莎各自修改一个评分，使得电影 6 成为他们最喜欢的电影。尼克劳斯和罗莎需要提高他们对电影 6 的评分。或者，他们也可以降低对那些他们评分高于 6 分的电影的评分，即尼克劳斯对电影 4 和罗莎对电影 5 的评分。然而，显而易见的是，阿达在类似未来的情况中需要考虑评分的提升。
点击右侧文字，可获得更多在线练习题资源：>>> Bebras在线水平测试
Bebras新赛季备赛已开启，扫码领取Bebras真题资料⇓
欢迎咨询【Bebras专业辅导课程】
（Bebras每日一练部分展示）
