Hi all,

At the beginning I wanted to thank the code jam team for great problems. 
Keep up the good work! 

I have a question regarding the "Hacked Exam". The solution I submitted for 
the competition was to select the best or the worst score from the samples 
and return the same or "opposite" string (replace T with F and F with T). 
The expected score was the exact score this exam answer would have 
achieved. To my surprise it passed both tests for N=2. Obviously it did not 
work for the largest test case. 

Since this "solution" was not mentioned in the analysis I am curious if it 
was accident that it passed or indeed for N=2 we can't do better than 
replicating the best/worst answer. I could not prove the latter, maybe 
someone on this list has more idea about that?

My hypothesis is that if question can have B possible answers then if we 
get B or less samples we can't do better than replicating worst/best one. 
In other words we can't get more insights about any of the questions in a 
sense.

Thank you,
Jakub

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