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DIV-3 G Can be solved if n <= 1e5?
By Stimsly, history, 4 years ago, In English

I am intrested in solution if n <= 1e5 and n — 1 <= m <= min((n-1) * n / 2 , 1e5) and k <= 1000.Thanks

I mean this solution must work no more when 2seconds. Sorry for dont write it

https://mirror.codeforces.com/contest/1433/problem/G

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4 years ago, # |
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Looking at the constraints the solution is obviously polynomial on N or M so no, it's not NP-hard.

Edit: whoops I just assumed NP != P

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    4 years ago, # ^ |
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    Can u give some prompt?

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      4 years ago, # ^ |
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      NP-hard is for problems which have do not have a solution which works in polynomial complexity (the degree may be anything, but it has to polynomial). For example a problem with best solution which is exponential might be considered to be NP hard. Your question above obviously has a polynomial solution (as described in editorial), so it isn't NP hard.

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        4 years ago, # ^ |
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        Ok thx, but maybe u now how to solve this problem?

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          4 years ago, # ^ |
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          Afaik the editorial's solution doesn't make use of any special constraints, so it should be working on your constraints as well.

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            4 years ago, # ^ |
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            About what editorial's solution u tell , if it solution for div -3 then its too slow O(nmlogn)

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        4 years ago, # ^ |
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        Please elaborate on your proof that P != NP.

        /s

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          4 years ago, # ^ |
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          Well, I should have written "NP-hard is for problems which have do not yet have a solution which works in polynomial complexity".

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