Petr's blog

A solution week
By Petr, history, 9 years ago, In English

http://petr-mitrichev.blogspot.com/2016/03/a-solution-week.html

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9 years ago, # |
  Vote: I like it -13 Vote: I do not like it

When I see your blog, I look 'Top contributors' list immediately. And I saw you are not first..

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9 years ago, # |
  Vote: I like it +3 Vote: I do not like it

You said "let's assume we'll pick an odd-sized subset for now" and forgot to prove why it's optimal.

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    9 years ago, # ^ |
      Vote: I like it +7 Vote: I do not like it

    You're right, thanks for pointing this out! It's not necessarily optimal, one has to consider the even-sized subsets as well, but the solution is really similar for that case so I don't think digging into it would add much now :)

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      9 years ago, # ^ |
        Vote: I like it +38 Vote: I do not like it

      Actually in that problem one may prove that even-size subset can always be replaced with an odd-size subset without making the simple skewness smaller. Just consider removing the second middle element from the set.

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