ko_osaga's blog

By ko_osaga, history, 7 years ago, In English

Hello!

According to the official site, BOI 2018 will be held in this weekend. Good luck to all participants!

I wonder if the organizers are planning any online contests. I actually found this Kattis site, but I think this is for official participants. Any ideas?

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7 years ago, # |
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There will be online contests. I got the following links from the organizers:

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7 years ago, # |
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How to solve B from practice tour?

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    7 years ago, # ^ |
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    It is quite hard to explain the solution (at least for me) but here is my code and if you have any questions, just ask me.

    Code
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    7 years ago, # ^ |
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    We're still in the process of writing up solution spoilers, but here's some work in progress in case it's useful (also for problem A): https://www.overleaf.com/read/rmkvkpmsfwvc

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7 years ago, # |
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How to get full score for A problem from practice tour?

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    7 years ago, # ^ |
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    A simple solution is to do the calculation with Python's arbitrary-precision decimal numbers (decimal). Just print the answer with sufficient precision.

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7 years ago, # |
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Live scoreboard of the official contest: https://boi2018.progolymp.se/livescore/

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7 years ago, # |
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How to solve the second subtask of problem Worm Worries? I couldn't do it in less than 42 queries.

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7 years ago, # |
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How to solve Worm Worries?(day 1)

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    7 years ago, # ^ |
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    As far as I know:

    1 dim: golden ratio division

    2 dim: splitting similar to KD-trees

    3 dim: pick Q/2 points and crawl greedily from the best one

    zdolna_kaczka

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      7 years ago, # ^ |
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      Thank you!

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      7 years ago, # ^ |
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      Can you explain more about the 'golden ratio division'?

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        7 years ago, # ^ |
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        This problem seems a little annoying to me, as you are just constant factor optimizing away from your standard binary search solution.

        My guess is the following: if your current interval is [a,b], Then query x, x-1, x+1 in that sequence in order.

        If f(x) <= f(x-1) then restrict to [a,x] and you've only used two queries (don't ask about x+1). Otherwise, query x+1, and if f(x) <= f(x+1) then restrict to [x,b], having used three queries.

        This asymmetry will cause you to choose a value of x which is not (a+b)/2 but closer to one side.

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          7 years ago, # ^ |
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          If f(x) > f(x-1), why we can't just restrict to [x, b]?

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            7 years ago, # ^ |
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            looks like I have no idea what I'm talking about!

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7 years ago, # |
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Can B(martian DNA) be solved with two pointers for 100 pts?

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    7 years ago, # ^ |
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    I guess that is the intended solution.

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7 years ago, # |
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How to solve problems A and B from the second day?

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7 years ago, # |
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I completely give up on Day 2 B... Can anyone tell me the solution?

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    7 years ago, # ^ |
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    We can split each string into long long type bitmasks for each letter a, c, g and t, where we will have a 1 in some position if the according letter is present. Then the number of differences between two strings will be the sum of differences between all the masks a, c, g, t divided by 2.

    Link to my code: https://pastebin.com/K6dxZfAP.

    I also used a little optimization to reduce the amount of strings that are checked.

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      7 years ago, # ^ |
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      Is this really the intended solution? Because I used bitset (which I think that works as fast as your approach) and it didn't work for n = 4100. The only optimization is that you checked the sum of differences. Are you sure that there isn't counterexample for your code (so it would get TLE)?

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        7 years ago, # ^ |
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        I agree, this is probably not the intended solution, but it gets 100 points.

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      7 years ago, # ^ |
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      I don't know if I get your idea correctly, but... isn't that still O(N2 * M / 64)?

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        7 years ago, # ^ |
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        Yes. However, since the complexity is ~ 10^9 we can reduce it by using optimizations like shuffling the strings in random order, using pragmas, checking sum of differences, not checking strings who differed by more or less than k with some other string.

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          7 years ago, # ^ |
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          I hope the intended solution will be more elegent

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            7 years ago, # ^ |
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            The main intended solution was to generalize the "check sum of differences" thing to not check against the sum of everything, but against multiple random subsets. Or simpler, against a randomly weighted sum of differences.

            Example solution: https://gist.github.com/simonlindholm/9d53bf4f0043dc8a50bef91f3593de53

            And the official solution write-ups (which we kind of threw together in a hurry...): https://www.overleaf.com/read/yjywvxrqmsxd Also includes the solution for A.

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              7 years ago, # ^ |
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              Is it possible that you post all codes and all editorials?

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                7 years ago, # ^ |
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                Yes, they should be added to the website some time tomorrow.

                (In the meantime, editorial for day 1: https://www.overleaf.com/read/vkygrnxjffzf )

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                7 years ago, # ^ |
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                Editorials are now linked from the website: http://boi2018.progolymp.se/tasks/

                Solutions and test data are available on GitHub: https://github.com/nordicolympiad/baltic-olympiad-2018

                Also, newsletter with my and jsannemo's somewhat cryptic crossword: http://boi2018.progolymp.se/day4.pdf

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                  6 years ago, # ^ |
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                  Sorry for necroposting, but I have a question regarding your proof for alternating current: in the proof for odd K, the case when s is covered by the possible intersection of w(i) and w(i-1) is not considered. In that case, it may be possible that no other segment covers s, and there is still some other solution that uses different types for w(i) and w(i-1), isn't that right (the argument is fine for the other case, as having at least one solution also implies that every s is covered by at least 2 cables, which are either both part of S, or one inside S and the other outside it, both cases having 2 cables of different types containing s which is fine)? What then?

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                  6 years ago, # ^ |
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                  No worries. It's perhaps a bit unclear in the proof, but we are assuming that a correct wiring exists, then taking that wiring's position i for which i and i-1 have the same direction. Thus the case you're referring to cannot occur.

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                  6 years ago, # ^ |
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                  Ahh got it thanks! It then also make sense because i is not of your choice necessary. Thanks for making it clear!

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    7 years ago, # ^ |
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    I have simple solution using hash.

    You can look at my code for more details: https://pastebin.com/4Nf1pY3s

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7 years ago, # |
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How to solve problem A from the second day?

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7 years ago, # |
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Congrats for the first gold Gediminas!

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How to solve C from day 2?

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    7 years ago, # ^ |
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    DP for every possible path ending at some node.

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3 years ago, # |
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BOI 2018 Day 2 Genetics can be solved without using bitsets.

First, we ensure random ordering of the strings by shuffling them arbitrarily. Then, we can partition the strings into $$$\sqrt{N}$$$ many 'compartments.' For each compartment, maintain the number of occurences of each letter at index $$$i$$$. In my implementation, this is stored as oc[blocks.size()][M][4]. Then, for each string, to check if it is valid, iterate over each string and check if the number of differences in each of the $$$\sqrt{N}$$$ many compartment is equal to (blocks[index].second - blocks[index].first + 1 - (index == id[i])) * K. If it is not, then obviously that string cannot be villain. Then, we've narrowed down the subset of possible strings to the point that we can just check each one brute-force.

implementation

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2 years ago, # |
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For anyone who finds this on Google, the official solutions can be found in this repository: https://github.com/nordicolympiad/baltic-olympiad-2018