Блог пользователя culver0412

Автор culver0412, 20 месяцев назад, По-английски

Happy Easter, Codeforces! Sadly the round will not be Easter themed :(

We (arvindf232, culver0412, snowysecret, AHappyPotato, jerryliuhkg) are delighted to invite you to participate in Codeforces Round 865 (Div. 1) and Codeforces Round 865 (Div. 2), which will take place on 09.04.2023 17:45 (Московское время). Participants with a rating lower than 1900 will participate in Division 2, while participants with a rating of at least 1900 will participate in Division 1. Notice the unusual starting time.

All the problems were authored and prepared by arvindf232, culver0412, snowysecret and AHappyPotato. Huge thanks to the following people, without whom the round would not be possible:

In both divisions, you will have 2 hours and 15 minutes to solve 6 problems. One of the problems is interactive, please see the guide of interactive problems if you are not familiar with it.

Wish you good luck and high ratings!

UPD1: Score distribution is as follows:

  • Div. 1: 500-1250-1750-2500-3000-3500
  • Div. 2: 500-1000-1250-2000-2500-3250

UPD2: Editorial

UPD3: Congratulations to the winners!

First solves
  • Проголосовать: нравится
  • +408
  • Проголосовать: не нравится

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20 месяцев назад, # |
  Проголосовать: нравится +53 Проголосовать: не нравится

As a free-riding tester, give me contribution.

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20 месяцев назад, # |
  Проголосовать: нравится +14 Проголосовать: не нравится

As a tester, video editorials for some problems will be available on my channel after the contest.

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20 месяцев назад, # |
  Проголосовать: нравится +21 Проголосовать: не нравится

As a tester,

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20 месяцев назад, # |
  Проголосовать: нравится +23 Проголосовать: не нравится

Same as above comment.

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20 месяцев назад, # |
  Проголосовать: нравится +108 Проголосовать: не нравится

As a co-author, please give me contribution!

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20 месяцев назад, # |
  Проголосовать: нравится +21 Проголосовать: не нравится

As a tester, this is my first testing round! Good luck guys!

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20 месяцев назад, # |
  Проголосовать: нравится +70 Проголосовать: не нравится

As a tester I forgor to test 💀

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20 месяцев назад, # |
  Проголосовать: нравится +72 Проголосовать: не нравится

As a tester, I can't think of anything funny to put here.

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20 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

two-four-five particle

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20 месяцев назад, # |
  Проголосовать: нравится +5 Проголосовать: не нравится

Unusual time with least deviation.

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20 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

Time To Tourist To Go To First Pos AGain

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    19 месяцев назад, # ^ |
    Rev. 2   Проголосовать: нравится -19 Проголосовать: не нравится

    You're right. But I hope jiangly's rating can exceed 4000 as soon as possible!

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      19 месяцев назад, # ^ |
        Проголосовать: нравится +16 Проголосовать: не нравится

      Is it possible to reach 4000 if one get 1st in div1 everytime?

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        19 месяцев назад, # ^ |
          Проголосовать: нравится +13 Проголосовать: не нравится

        Rank 1 performance in div 1 is higher than 4000, so yes it is possible!

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          19 месяцев назад, # ^ |
            Проголосовать: нравится 0 Проголосовать: не нравится

          Wait, you really can somehow lose rating if winning div1??

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            19 месяцев назад, # ^ |
              Проголосовать: нравится +13 Проголосовать: не нравится

            If I remember correctly there was a round where in the middle tourist ranked first, tied with another user, and tourist's delta was shown as negative.

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        19 месяцев назад, # ^ |
          Проголосовать: нравится 0 Проголосовать: не нравится

        When i click to register div1 codeforces gives this "Rating should be between 1900 and 9999 in order to register for the contest XD.

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20 месяцев назад, # |
  Проголосовать: нравится +120 Проголосовать: не нравится

As a downsolver, I can confirm that authors put a lot of work into this round and I hope you enjoy it.

Downsolver joke
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    19 месяцев назад, # ^ |
      Проголосовать: нравится +38 Проголосовать: не нравится

    As a participant, I will appreciate the work of authors and testers. Thank you for the contest!

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20 месяцев назад, # |
  Проголосовать: нравится +26 Проголосовать: не нравится

Sadly the round will not be Easter themed :(

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20 месяцев назад, # |
  Проголосовать: нравится -10 Проголосовать: не нравится

Please add more contests.

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20 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится
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20 месяцев назад, # |
Rev. 2   Проголосовать: нравится +11 Проголосовать: не нравится

As a non tester,I will also enjoy this round:)

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19 месяцев назад, # |
  Проголосовать: нравится +9 Проголосовать: не нравится

As a non-tester, I will enjoy easter :)

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19 месяцев назад, # |
  Проголосовать: нравится +16 Проголосовать: не нравится
Spoiler
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19 месяцев назад, # |
  Проголосовать: нравится +8 Проголосовать: не нравится

As a tester, I am not a tester.

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19 месяцев назад, # |
  Проголосовать: нравится -10 Проголосовать: не нравится

why only 1900+

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19 месяцев назад, # |
Rev. 3   Проголосовать: нравится +8 Проголосовать: не нравится

Happy Easter, Codeforces! Sadly the round will not be Easter themed :( (in White) , Excited for the Contest

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19 месяцев назад, # |
  Проголосовать: нравится +7 Проголосовать: не нравится

As a non-tester, I want to be a tester.

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19 месяцев назад, # |
  Проголосовать: нравится +10 Проголосовать: не нравится

As a non-tester,i want to ask how can i become a tester one day

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    19 месяцев назад, # ^ |
      Проголосовать: нравится 0 Проголосовать: не нравится

    i still remeber the last edu codeforces,which unr because of test mistake

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    19 месяцев назад, # ^ |
      Проголосовать: нравится +22 Проголосовать: не нравится

    I will just copypaste my comment from a recent blog:

    If you are a tester, most likely, you are invited by one of the authors. So do you know any round authors? If you don't, there is an alternative solution: be a round author yourself! Some coordinators and authors will invite authors of previous rounds as testers.

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19 месяцев назад, # |
  Проголосовать: нравится +11 Проголосовать: не нравится

Well i am more excited to watch tourist Vs jiangly, this time.

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19 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

what kind of question is the first one

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19 месяцев назад, # |
  Проголосовать: нравится +41 Проголосовать: не нравится

Huge separation between C and D today in pure Div 2 lol

37e63674d34a1a5bb35d01d2bf4ddb2e2463ea7c

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19 месяцев назад, # |
  Проголосовать: нравится +15 Проголосовать: не нравится

Tourist The King ! Again on top

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19 месяцев назад, # |
  Проголосовать: нравится -44 Проголосовать: не нравится

most stupid div2 contest ever, B and C are both some quasy patterns with no proof of why it should ever work other than that it is a pattern that could apply in codeforces contest

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19 месяцев назад, # |
  Проголосовать: нравится +3 Проголосовать: не нравится

I like interactive problems but this was extremely hard to understand

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19 месяцев назад, # |
  Проголосовать: нравится +5 Проголосовать: не нравится

DID YOU ALL NOTICE?? There is a highlighted text while selecting the first line of the blog... "Happy Easter Codeforces" one, extend it further from left to right!!

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19 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

Spent about 1 hr on div2D and finally figure it out but couldn't implement it in time.

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19 месяцев назад, # |
  Проголосовать: нравится +59 Проголосовать: не нравится

Congratulations to YocyCraft for becoming GM after this round, assuming you pass system tests!

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19 месяцев назад, # |
  Проголосовать: нравится +4 Проголосовать: не нравится

Thanks for an amazing contest! Solved D1A, B and C, got 160th and +107 delta according to carrot. Definitely my best performance ever. I really loved the style of problems and statements were clear and consise, straight to the point with no unnescessary stories. I would honestly love to see more contests from you as soon as possible!

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19 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

What was Test 2 in Div1-C ?

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19 месяцев назад, # |
Rev. 3   Проголосовать: нравится +11 Проголосовать: не нравится

D1C is overwhelming, and D1D is also nice! Thanks for the great round!
Sorry I got FST on D with $$$m=1$$$, so sad

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19 месяцев назад, # |
Rev. 2   Проголосовать: нравится 0 Проголосовать: не нравится

Div1 B

https://codeforces.me/contest/1815/submission/201562137

This submission get WA on test1, but why?

I tested it by myself, the result was allright.

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    19 месяцев назад, # ^ |
      Проголосовать: нравится +3 Проголосовать: не нравится

    I tried testing your code manually, and this is what I got, perhaps there was some miscalucalcution in answering the queries as per the interaction, the same happened with me before and it was frustating :')

    Test Case 1
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19 месяцев назад, # |
  Проголосовать: нравится +5 Проголосовать: не нравится

Guys, is Div2 C binary search?

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    19 месяцев назад, # ^ |
      Проголосовать: нравится +2 Проголосовать: не нравится

    No, at least I don't see it

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    19 месяцев назад, # ^ |
      Проголосовать: нравится 0 Проголосовать: не нравится

    No

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    19 месяцев назад, # ^ |
      Проголосовать: нравится 0 Проголосовать: не нравится

    Then how to do C?

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      19 месяцев назад, # ^ |
      Rev. 2   Проголосовать: нравится +4 Проголосовать: не нравится

      I just did two iterations over the initial array.

      In the first iteration we check if a[i] > a[i+1]. If that is the case then we increment both a[i+1] and a[i+2] until a[i] = a[i+1].

      For the second iteration we go from behind and check if a[i] < a[i-1]. If that is the case then we decrement both a[i-1] and a[i-2] until a[i] = a[i-1].

      If the array we get is non-decreasing, the answer is YES, otherwise NO.

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19 месяцев назад, # |
  Проголосовать: нравится -9 Проголосовать: не нравится

A,B,C problems were good enough....But, hardness(D-C)=inf...

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19 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

What was the intended solution for div2A? I couldn't think of anything and figured brute force would probably result in around sqrt(n) complexity by brute forcing until I find an I such that gcd(x-1, abs(y-i)) = 1. This ended up working for me.

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    19 месяцев назад, # ^ |
    Rev. 2   Проголосовать: нравится +4 Проголосовать: не нравится

    Probably something like $$$(0, 0) \rightarrow (1, b-1) \rightarrow (a, b)$$$ (I can't be bothered to think if there are any edge cases to this)

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      19 месяцев назад, # ^ |
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      Just realized that's why my solution passed so quickly, my loop started at 1 which was always an answer lol.

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    19 месяцев назад, # ^ |
    Rev. 2   Проголосовать: нравится 0 Проголосовать: не нравится

    it can be solved O(1) TC...exmple, two points are: (a-1,1) (a,b)...

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19 месяцев назад, # |
  Проголосовать: нравится +2 Проголосовать: не нравится
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19 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

Can anyone tell the idea behind the problem C.

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    19 месяцев назад, # ^ |
      Проголосовать: нравится +3 Проголосовать: не нравится

    if n is odd then answer always exist...otherwise carefully notice that you can just transfer value from even pos to even pos and odd pos to odd pos...so compare between sum of even pos ans odd pos...

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    19 месяцев назад, # ^ |
    Rev. 2   Проголосовать: нравится +3 Проголосовать: не нравится

    Let b(i) be a number added to a(i) and a(i+1)

    Then you can find equations of b(i)s from the non-decreasing condition

    if n is even

    a(2)-a(1)+a(4)-a(3)+...+a(n)-a(n-1)>=0

    if n is odd

    No condition

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    19 месяцев назад, # ^ |
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    Detail solution to Problem C: Link

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19 месяцев назад, # |
  Проголосовать: нравится +7 Проголосовать: не нравится

D problem ORZ

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19 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

Problem C from Div. 2 is somewhat similar to Drought from the USACO 2022 January contest.

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19 месяцев назад, # |
Rev. 2   Проголосовать: нравится 0 Проголосовать: не нравится

how to solve div2A?

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19 месяцев назад, # |
Rev. 2   Проголосовать: нравится 0 Проголосовать: не нравится

Div 2 F :skull:

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19 месяцев назад, # |
  Проголосовать: нравится +34 Проголосовать: не нравится

Solution for Div1B:

  • Do $$$"+ n","+ (n+1)"$$$,you'll get a chain.

  • Do $$$"?1,i"(2 \leq i \leq n)$$$,you'll get a endpoint $$$e$$$ of this chain.

  • Do $$$"?e,i"(1\leq i \leq n ,i \neq e)$$$.Sorted by distance, we get the entire permutation.

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19 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

Is this logic incorrect for D1C: Firstly all vertices should be reachable from 1 in the graph with reversed edges, else the number of sequences are infinite. Then I find out SCCs. The SCC containing '1' has a sequence: [s2,s3,..sk] + [1] + [s2,s3,..sk]. Then in topological order we build other sequence for other SCCs.

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19 месяцев назад, # |
  Проголосовать: нравится -9 Проголосовать: не нравится

I did A,B,C pretty easily. But in D what was that permutation about, we had to guess it but what that permutation really meant ?

Even after spending 30 mins I couldn't understand the permutation. Please explain.

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    19 месяцев назад, # ^ |
      Проголосовать: нравится 0 Проголосовать: не нравится

    do + n and + (n+1), you can get a chain. then it's much easier to get relative order of nodes on the chain

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    19 месяцев назад, # ^ |
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    The permutation just exists. It doesn't affect the construction of anything else. The only way to get information about the permutation is by doing type $$$2$$$ queries. The permutation exists as a mapping of integers to other integers (nodes) when doing type $$$2$$$ queries and you need to figure out what that mapping is.

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19 месяцев назад, # |
  Проголосовать: нравится +45 Проголосовать: не нравится

Interaction details are very annoying... missed the problem due to that :d... input 1 if it is correct or -2 if it is not... did you really need to do that?

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19 месяцев назад, # |
  Проголосовать: нравится +5 Проголосовать: не нравится
If you thought jiangly would do better than tourist
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19 месяцев назад, # |
  Проголосовать: нравится +129 Проголосовать: не нравится

In case anyone's wondering, the "hack" in Div1D is not taking modulo when printing the answer for $$$m = 1$$$.

That's pretty silly. There was an OpenCup contest around 2018 from Red Panda where "output something modulo $$$M$$$" was defined as "you may print any number that is congruent to the answer modulo $$$M$$$".

I think that should become the standard. Add some extra helper functions to testlib.h and it wouldn't be very hard to do that way in every contest.

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    19 месяцев назад, # ^ |
      Проголосовать: нравится +42 Проголосовать: не нравится

    I totally agreed with this. I would be pissed if my entire solution failed because of such case. Feel bad for the guys I hacked because they couldn't fix their codes in time :(

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19 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

How to solve Div-2C today's contest?

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    19 месяцев назад, # ^ |
    Rev. 2   Проголосовать: нравится 0 Проголосовать: не нравится

    If the array is already sorted , we’re done and answer is yes. If the array size is odd the answer is always yes ,proof: we can make the first n — 1 elements equal to the first element by applying operations on every two adjacent elements a[i] and a[i + 1] for 1 <= i < n — 1. We will have x x x x .. x x y where the number of x's is (n — 1) which is even , since have even number of x’s we can decrease all of them if they are greater than y by dividing them into pairs and applying the operation on each pair.

    If the size is even We will do the same and try to make the first n — 1 element equal by doing the same work above , but then we will have odd number of x’s so we cannot decrease them , the only possible way for the answer to exist is if y >= x.

    My Solution
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19 месяцев назад, # |
  Проголосовать: нравится 0 Проголосовать: не нравится

The format of interactive problems is very bad. You get random verdicts and notes from checker and can't understand, what you did incorrectly. I spent 50 minutes to submit already correct solution, which did queries incorrectly. And for "Is it possible to get for all queries non-negative answers, but get WA for test?", the answer is not "No comments", but "Yes, it's possible" (if you print not permutation at ! operation).

The problem $$$B$$$ is nice though. Notice, that you can create a bamboo (or spagetti?) in three moves. Then using $$$n - 1$$$ moves find one of its ends. But you can't understand, which one you found, so track both cases. Then in $$$n - 2$$$ find $$$n - 2$$$ other numbers of permutation. You have no query to find last one, so do it manually.

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19 месяцев назад, # |
  Проголосовать: нравится +1 Проголосовать: не нравится

still sad for the last edu codeforces which is unrated
i should earn 100+rate on that round
and even 20 rate will surely make me CM this time

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19 месяцев назад, # |
  Проголосовать: нравится +11 Проголосовать: не нравится

Solution for Div1C:

Define finite number:

  • $$$1$$$ is finite number;

  • if $$$v$$$ is a finite number and $$$(u,v)$$$ exists,$$$u$$$ is also a finite number.

We have discovered a directed graph. Starting from $$$1$$$ for BFS, if there is a number that is not finite, no solution.

We also note $$$dis[i]$$$ as the shortest distance from point $$$1$$$ to $$$i$$$.

Obviously,for all $$$i$$$ that $$$dis[i]==1$$$,There can be at most $$$2$$$ numbers in the sequence.

Similarly,or all $$$i$$$ that $$$dis[i]==x$$$,There can be at most $$$x+1$$$ numbers in the sequence.

Construction:A bit complex. I implemented it using a linked list.

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    19 месяцев назад, # ^ |
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    I messed up on this problem because I assumed that cycles would lead to an infinite series.

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    19 месяцев назад, # ^ |
      Проголосовать: нравится +21 Проголосовать: не нравится

    Easy construction:

    Let $$$max_{d}$$$ equal the maximum value of $$$dis[i]$$$

    The answer sequence is as follows:

    $$$[[max_d], [max_d-1], \dots, [2], [1], [0],$$$

    $$$[max_d], [max_d-1], \dots, [2], [1],$$$

    $$$[max_d], [max_d-1], \dots, [2],$$$

    $$$\dots$$$

    $$$[max_d], [max_d-1],$$$

    $$$[max_d]]$$$

    where $$$[n]$$$ gets replaced by a sequence containing one of every integer $$$i$$$: $$$dis[i] = n$$$

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    19 месяцев назад, # ^ |
    Rev. 2   Проголосовать: нравится +8 Проголосовать: не нравится

    Construction: Let $$$S_i$$$ denote the sequence of points at distance $$$i$$$ from $$$1$$$, ordered arbitrarily. Let $$$K$$$ be the largest distance any point has from $$$1$$$. Then the following construction works:

    $$$(S_K + S_{K-1} + S_{K-2} + \cdots + S_{0}) + (S_K + S_{K-1} + \cdots + S_{1}) + \cdots + (S_{K} + S_{K-1}) + (S_{K})$$$

    $$$+$$$ denotes sequence concatenation

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19 месяцев назад, # |
  Проголосовать: нравится +7 Проголосовать: не нравится

I guessed all the questions I solved today :clown:

Div 2. A, B had good samples so no penalties
Died in C penalties ;-;

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    19 месяцев назад, # ^ |
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    :clown: I was in the first 60 solves for C and had 0 penalties then took 2h for A and B with 4 penalties

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      19 месяцев назад, # ^ |
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      I was in the top 300 after solving A and B and then couldn't solve C :)

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      19 месяцев назад, # ^ |
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      you think that's bad, realized after the round that my code for C wasn't passing because of a int overflow :(

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19 месяцев назад, # |
  Проголосовать: нравится +4 Проголосовать: не нравится

can someone explain the logic behind B? I just saw a random pattern in testcases and printed it.

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19 месяцев назад, # |
  Проголосовать: нравится +5 Проголосовать: не нравится

Can someone give a formal proof along with the method for B. I was clueless about how to approach this question. Thanks

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    19 месяцев назад, # ^ |
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    You always start at (1, 1), so it's added and it should be maximum possible. Note also, that you when you end at (2, $$$n$$$) you add that number too, since $$$n$$$ is even, so it should be second biggest number.

    Now, when you start at (1, 1), you go either right or down, and both these values are on minus, so we should minimize them, so put at (1, 2) and (2, 1) 1 and 2 respectively. Now, when you are in either of those cells you can go to (2, 2) or (1, 3) where you maximise. Then you will end up in either (2, 3) or (1, 4), which you minimize, and this goes on and on.

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    19 месяцев назад, # ^ |
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    I haven't proven it but consider these observations.

    There are some squares that contribute positively to the sum, and some that contribute negatively. These different types of squares form a checker pattern.

    For each of the squares that contribute positively that are in the top row, we can go to two squares that contribute negatively, either the square under it or the square that is to the right.

    Since we want to maximize the minimum sum, it would be a good idea to get as little fluctuation in the different answers we can possibly get in the end (again, this is not a proof just observations), so we should put two consecutive numbers in those two negative squares so that if we choose either of them, the difference in the sum they make is at most equal to 1.

    So we want to put the biggest half of the numbers (from n+1 to 2*n inclusive) in the positive squares, and the smallest half (from 1 to n inclusive) in the negative squares.

    The last thing is that we should put the biggest two numbers at the positions (1, 1) and (2, n). This is because we want the biggest numbers to be included in every single path possible.

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19 месяцев назад, # |
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can anyone give some idea related to div2b

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    19 месяцев назад, # ^ |
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    The blue cells will be the positive integers so you need to maximize the integers in the blue cells in a certain order

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19 месяцев назад, # |
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Can anybody give me a test case for div2 C where my solutions is failing. Thanks.

Submission = link

The main code is as follows:


def solve(n, array): for i in range(1, n): if array[i] < array[i - 1]: if i + 1 < n: diff = array[i - 1] - array[i] array[i + 1] += diff array[i] += diff else: print("NO") return diff = array[i-1] + maximum array[i-1] -= diff array[i] -= diff print("YES")
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19 месяцев назад, # |
Rev. 3   Проголосовать: нравится +8 Проголосовать: не нравится

For div2F/1D, sequence for m = 2 is available here. https://oeis.org/A328565. (m != 2 is trivial)

We can get the nth term (a direct formula isn't specified) using the structure in https://oeis.org/A328565/a328565.png, which says if a given xor y can be achieved given n. Now we can form a recursive equation to get answer for a big n.

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19 месяцев назад, # |
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Div2 D is totally a disaster it's far harder than C(even harder than E,i think)

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19 месяцев назад, # |
  Проголосовать: нравится +12 Проголосовать: не нравится

abcforces

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19 месяцев назад, # |
Rev. 6   Проголосовать: нравится +56 Проголосовать: не нравится

Solved Div1 A-C. Give me >=51 delta plz.

D1A/D2C: Let d[0]=0, d[n]=0, and d[i]= how many times we do operation on pair (i, i+1) (decreasing is regard as -1 operation), then we have a[i]+d[i-1]+d[i]<=a[i+1]+d[i]+d[i+1], which means d[i+1]>=d[i-1]+(a[i]-a[i+1]), so we have an inequallity system. If n is odd, this inequallity has a solution, but if n is even, we have 0=d[n]>=d[n-2]+(a[n-1]-a[n])>=d[n-4]+(a[n-1]-a[n])+(a[n-3]-a[n-2])>=...>=d[0]+(the alternative sum of a)=(the alternative sum of a), so we need to check whether the alternative sum of a is non-positive.

D1B/D2D: If we add edge for x=n and x=n+1, the graph will become a path: n --> 1 --> n-1 --> 2 --> n-2 --> 3 --> ..., so we can query (1, i) for 2<=i<=n to get the furthest point from p[1], and it must be one of the endpoint of this path. Let j be the furthest point then we can query (i, j) for 1<=i<=n, i!=j and we can get the order of p[i] on this path. The answer will be this order or its reverse order.

D1C/D2E: Let's build a directed graph with node numbered 1...n, and add an edge (b-->a) for each pair (a, b). Note If there's any number cannot be reached from 1, we can build an infinite sequence: Let c[1], c[2], ..., c[r] be the set of numbers cannot be reached from 1, the infinite repetation of (c[1], c[2], ..., c[r]) will be a valid answer. Otherwise, we can group numbers by the distance from 1. If the maximum distance from 1 is k, and we denote the list of i-dist numbers as L[i], we can build a sequence as L[k], L[k-1], ..., L[0], L[k], L[k-1], ..., L[1], L[k], L[k-1], ..., L[2], L[k], L[k-1], ..., L[3], ..., L[k], L[k-1], L[k-2], L[k], L[k-1], L[k]. We can see for any pair of same numbers with distance i, there are occurences of all numbers with distance >=i-1 (except itself) between them, and by the defination of distance, for any pair of (a, b), because there's an edge (b-->a), we have dist[b]>=dist[a]-1, so this is the valid answer. And we can see that each number with distance k can have at most k+1 occurence in any valid sequence (that's because between k+2 numbers of distance k there are at least k+1 numbers of distance k-1, k numbers of distance k-2, ... , 2 numbers of distance 0, but the only number with distance 0 is 1, that's a contradiction), so this is an optimal answer.

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19 месяцев назад, # |
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when is the next contest MikeMirzayanov sir?

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19 месяцев назад, # |
Rev. 4   Проголосовать: нравится +97 Проголосовать: не нравится

There may be an alternative solution for Div1B to get a unique permutation using $$$\approx 1.5n$$$ queries for sufficiently large $$$n$$$.

  • First, + n and + (n - 1) to get the vertices $$$1, 2, \ldots, n - 1$$$ connected like a chain. This takes $$$2$$$ queries.

  • Then, we would like to find $$$x$$$ so that $$$p_x = n$$$, the isolated vertex, in this part. To do so, we may take any two indices $$$i, j$$$ and ask ? i j, if the response is non-negative, eliminate both of them from the candidate list; otherwise, exactly one of $$${p_i, p_j}$$$ must be $$$n$$$. We can find which it is by just asking ? i k with any $$$k \neq j$$$. This takes up to $$$\left\lfloor \dfrac{n}{2} \right\rfloor + 1$$$ queries.

  • Do + (2n - 1) so that vertex $$$n$$$ is connected to vertex $$$n - 1$$$. Now, the graph forms a chain. This step takes $$$1$$$ query.

  • By asking ? x z, $$$\forall z = 1, 2, 3, \ldots, n$$$, the permutation can be uniquely determined since each response is distinct. This takes $$$n$$$ steps.

Directly implementing this solution would fail for $$$n \leq 6$$$. But as you can see, there are many apparently redundant queries in some steps.

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    19 месяцев назад, # ^ |
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    My idea was similar with $$$n + \lfloor \frac{n}{2} \rfloor + 2$$$ queries total.

    It also gets AC(201561852) but need some optimizations.

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    19 месяцев назад, # ^ |
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    Great, that's an interesting idea! I think some co-author / tester mentioned the existence of a $$$1.5n$$$ solution during the round preparation. Maybe the problem could have been split into an easy and hard version, but it seems like the current version is difficult enough.

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    19 месяцев назад, # ^ |
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    This idea has been linked in the official editorial as the "harder version". Thank you!

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    18 месяцев назад, # ^ |
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    sorry for necroposting , but I didnt get why would your approach fail for n <= 6 like for n = 5 you would first update 5 and 4 , so right now graph is smthng like 4 — 1 — 3 — 2 5 in worst case it would take us 2 queries to figure out the isolated vertex and we would need one more to connect 5 with 4 (query : 9) till now we used 5 interactions , after these we can use 3 more queries to find the position of each index

    so why would 8 queries fail ? ( ok Im stupid for n = 5 it took 9 queries , ig as n gets smaller we will get higher interaction numbers )

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19 месяцев назад, # |
Rev. 2   Проголосовать: нравится +68 Проголосовать: не нравится

For problem D1B/D2D's interaction format, our intent was to prevent unexpected verdicts caused by wrong output format or exceeding number of operations, since we can tell the contestant to terminate the program and receive Wrong Answer.

However, some issues arised, such as some contestants forgetting to read the integer $$$1$$$ or $$$-2$$$ depending on whether the answer is correct. If they didn't read it, they are effectively solving the next query with $$$n=1$$$ which causes some errors unexpected by the contestants. Although the statement was bolded in the statement, it turned out that it was still not too obvious for everyone :(

Lots of contestants asked about self-loops. We did not expect that confusion, since the distance from a node to itself is always $$$0$$$, but we should have explained that clearer in the statement. Sorry about that.

Other than the somewhat complicated interaction format and unclear details, I hope you still enjoyed the problems.

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19 месяцев назад, # |
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Good problems especially problem D!

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19 месяцев назад, # |
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Div2 D (Div1 B) is a little vaguely worded. It did not explain the case for query ? i i. I thought this would return 0 iff there is a self-cycle from i to i (and -1 otherwise). So I constructed an algorithm that should be similar to the correct solution:

  1. if n == 2, "! 1 2 2 1", otherwise:
  2. query "+ 2". now there is a self-cycle from 1 to 1.
  3. query "? 1 1" ... "? n n" to get the position of 1.
  4. query "+ n+1" and "+ n+2" to make a linked list
  5. we have n-3 queries remaining. query "? pos_of_1 i", i != 1. This would determine the position of all but 2 numbers. Thus we have two candidate permutations.

I should have used the question feature, didn't think about that. The reality is "? i i" always returns 0. This is very confusing because in the example, n=6 and there was a query "+ 12". So this query is entirely useless, and potentially misleading (I thought self-cycles are useful). I tried 11 submission with different throw() to test out what went wrong. After I finally found out I didn't even want to code anymore. Very frustrating for me.

P.S. Other than this, great contest! Lots of constructive algorithms.

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    19 месяцев назад, # ^ |
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    If you have any problems regarding the statement, you can use the ask a question feature. A lot of the questions asked are regarding the ? i i case, we think that it might have been confusing to most of the contestants.

    Hope you still enjoyed the other problems!

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      19 месяцев назад, # ^ |
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      Yeah I never used that before so didn't think about it. Will make sure to do it next time.

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19 месяцев назад, # |
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For some reason didn't enjoy neither of ABC =(. Maybe simple observation/construction problems aren't to my taste. But most probably the reason is I am just bad at math

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    19 месяцев назад, # ^ |
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    I agree. I barely managed to solve them because I kept tripping up on them. :/

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19 месяцев назад, # |
  Проголосовать: нравится +8 Проголосовать: не нравится

Today D was much harder then regular D

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19 месяцев назад, # |
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Problems were very cool authors! I really enjoyed D1B-D1D.

Although I'd say B > C > D in terms of difficulty personally and seems I would've FST on the D hack if I did finish it in time which is unfortunate for those that did.

Great job overall still, hope to see more from you guys in the future!

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19 месяцев назад, # |
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201512259 Can someone please tell why it failed on Problem A ??

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    19 месяцев назад, # ^ |
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    For test case:

    1
    6 8
    

    it gives

    1
    6 8
    

    which is wrong since the line joining (0,0) and (6,8) also has other integer co-ordinates lying on it. For example, (3,4).

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19 месяцев назад, # |
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I am new to the website. I participated in this contest in Div 2, with account rating of 540, and it looks like it is unrated for me. Why ? Please explain to me

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19 месяцев назад, # |
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How do you rigorously solve Div 2 B? I was able to intuitively guess the correct pattern, but couldn't prove that it was optimal.

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19 месяцев назад, # |
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Just realized my code in problem C wasn't passing because of a int oveflow fml

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19 месяцев назад, # |
Rev. 2   Проголосовать: нравится +3 Проголосовать: не нравится

What is the logic behind div2 C. I am completely blank on this one. I've seen some solutions which use left to right traversal and right to left traversal. But m not sure how to prove it. Can someone give a solid solution. Thanks UPD: Got it! thanks for the replies

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    19 месяцев назад, # ^ |
    Rev. 3   Проголосовать: нравится +3 Проголосовать: не нравится

    My approach If you tried to see there are two cases for n even and n odd.. for n is odd it is always possible to make array sorted, you can try every different possible case for n is odd. I have not proved it but by intution, I can say I have one extra element when n is odd which is helping to sort the array every time.

    I just implemented for second case.

    for n even what i did, I just simply traversed an array an start making it sorted by doing the operations given, If at end i got sorted array then yes, othewise no. let see how I did if array is [3,2,5,4]. what I did I first convert first element two 1; [1,0,5,4] by subtracting 2 from first element and second element.

    [1,2,7,4] by increasing 2 to second and third element.

    [1,2,3,0] by subtracting 2 from third and fourth element.

    Now I am at index 2,I can't perform any operation further. I can't increase 0 by any means, I just checked is it sorted or not.

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      19 месяцев назад, # ^ |
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      For N=odd, the idea is that if you have a bad index i where A[i] < A[i — 1], then if i is odd, A[1:i-1] has have even length, and you can decrease these values pairwise until A[i-1]=A[i]. Otherwise, i is even, and A[i:N] has even length, so you can increase A[i:N] to achieve the same result.

      Example:

      A = [2, 2, 1, 1, 1] → [1, 1, 1, 1, 1] (bad index i=3, so decrease A[1:2])
      
      A = [2, 2, 2, 1, 1] → [2, 2, 2, 2, 2] (bad index i=4, so increase A[4:5])

      This way, you can remove any bad index without introducing any new ones.

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    19 месяцев назад, # ^ |
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    You can reformulate the problem in the following way :

    given an array of $$$n$$$ integers $$$a_1 , a_2 ,.. , a_n$$$

    check if there exist some array of numbers $$$k_0, k_1 , ... , k_{n}$$$ such that the array:

    $$$a_1 + k_1 , a_2 + k_1 + k_2 , ... ,a_{n-1} + k_{n-2} + k_{n-1} , a_n + k_{n-1}$$$ is sorted in non-decreasing order.

    That means that : $$$a_1 + k_1 \le a_2 + k_1 + k_2 \le ... \le a_{n-1} + k_{n-2} + k_{n-1} \le a_n + k_{n-1}$$$

    We can assign $$$k_n = k_0 = 0$$$

    We have a system of inequalities : $$$k_{i-2} + a_{i-1} - a_{i} \le k_i \le k_{i+2} + a_{i+2} - a_{i+1} \ \forall \ i \in [1 , n-1]$$$

    So we can assign $$$k_i$$$ to its maximum value $$$k_i := k_{i+2} + a_{i+2} - a_{i+1}$$$ and in particular $$$k_{n-1} = +\infty$$$

    After doing this process we have to check if $$$k_0 \le a_{2} - a_1 + k_2$$$

    Code : 201581485

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    19 месяцев назад, # ^ |
    Rev. 2   Проголосовать: нравится +8 Проголосовать: не нравится

    here's my understanding: Let's assume N is even. We should end up with a(1) <= a(2) <= .... <= a(N), which in turn means that a(1) <= a(2), a(3) <= a(4), ...., a(N-1) <= a(N) should all be true.

    Summing up a(1) + a(3) + ... a(N-1) <= a(2) + a(4) + ... a(N). Let's say initially before operations are applied, Sum(odd) = a(1) + a(3) + ... + a(N-1) and Sum(even) = a(2) + a(4) + ... + a(N). Also let's note that increasing/decreasing consecutive elements of a by 1 doesn't affect the value of Sum(even) - Sum(odd). So if Sum(even) was initially greater than Sum(odd), it will always be.

    Now if Sum(even) >= Sum(odd), there is a solution: 0, 0, 0, ..., 0, Sum(even) - Sum(odd) (N-1 times zero and then Sum(even) - Sum(odd)). On the other hand, if Sum(odd) > Sum(even), then one of the a(1) <= a(2), a(3) <= a(4), ...., a(N-1) <= a(N) should become false. (Otherwise Sum(odd) <= Sum(even)

    Now let's assume N is odd. Now we have a(1) <= a(2), a(3) <= a(4), ...., a(N-2) <= a(N-1). Notice that a(N) doesn't participate in above inequalities, but it does contribute to sum(odd). In this case, we can turn initial sequence to -inf, 0, 0, 0, ...., 0, Sum(even), inf + Sum(odd), which will satisfy all requirements, where inf is very large number.

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19 месяцев назад, # |
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Auto comment: topic has been updated by culver0412 (previous revision, new revision, compare).

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19 месяцев назад, # |
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which div2 was tougher in your opinion ?

from last two.

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    19 месяцев назад, # ^ |
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    For me personally, this one. While I loved the round, expecting around -150 delta, while last round was close to +100.

    Thanks to the authors for the amazing problems. I had fun solving D2A, and, D2B during the contest, and up-solving D2C. Will be trying D2D next.

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19 месяцев назад, # |
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Can someone please explain proof of B in editorial in more detail?

In particular, I would like to know what does it mean lowerbound for maximum cost and how do we, from the observations in proof before that, conclude that this is the value of the lowerbound.

In task we need to construct the grid such that minimum cost over all paths is maximized. So I think in order to prove that some construction satisfies the requirements we need to find value C(n) such that for every placement of integers on the grid minimum cost among all paths in the grid is <= C(n). Then we need to show that for our construction minimal cost equals C(n). Am I wrong?

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    19 месяцев назад, # ^ |
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    Let T be the top path which moves right n times and moves down at the end, and let B be the bottom path which moves down first then moves right n times. For a path P let C(P) be its cost.

    Now color the grid with a chessboard colouring so a square (i, j) is black if and only if (i + j) % 2 == 0. Then we have:

    C(T) + C(B) = (sum of the numbers on the black squares) — (sum of the numbers on the white squares) + (value at (1, 1)) + (value at (n, 2))

    Now what is the maximum value of the right hand side? We should make the numbers on the black squares as big as possible, so take n + 1, ..., 2n, and we should make the numbers on the white squares as small as possible, so take 1, ..., n. The squares (1, 1) and (n, 2) are both black and counted twice, so we should make them as big as possible as well, so we take them to be 2n and 2n-1.

    In this optimal situation, the right hand side is ((n + 1) + .... + 2n) — (1 + ... + n) + 2n + 2n-1 = n^2 + 4n — 1. So in any configuration we have C(T) + C(B) <= n^2 + 4n — 1, so we either C(T) or C(B) is <= n^2/2 + 2n — 1, and so this gives an upper bound on the maximum min cost path.

    And then there are many ways to prove this bound can be achieved. You just have to come up with some pattern and check that all of its paths have cost at least n^2/2 + 2n — 1. Necessarily the top and bottom paths in an optimal configuration would have to have costs n^2/2 + 2n — 1 and n^2/2 + 2n, so that immediately constrains the search. For example, one pattern which I'll illustrate for n = 6 is to take

    12 2 10 4 8 6

    5 7 3 9 1 11

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19 месяцев назад, # |
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No more contests in the coming week?

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19 месяцев назад, # |
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I'm struggling to understand Div2D's example. How does [1 2 3 4 5 6] comply with the query about $$$p_1$$$ and $$$p_3$$$? The distance between nodes 1 and 3 is 2 in the graph at that time.

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19 месяцев назад, # |
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Thanks for the great contest! D was such a cool problem. It was one of those problems where you jump up from your seat when you figure it out.

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19 месяцев назад, # |
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Why there is no upcoming contests ?

We really want more CF rounds!

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19 месяцев назад, # |
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is this unrated?

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19 месяцев назад, # |
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i miss my photo so much
thank you codeforces

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19 месяцев назад, # |
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As Rating of Div 1 is already updated but why there is delay in Div 2 rating update?

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19 месяцев назад, # |
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This round was really good!

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19 месяцев назад, # |
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Please MikeMirzayanov fast :)

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19 месяцев назад, # |
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when will the ratings update :( . I have started to feel like they will make this unrated.

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19 месяцев назад, # |
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As a tester im testing your patience u could show in the comment section

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19 месяцев назад, # |
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SlowRatingForces

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19 месяцев назад, # |
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Why does this round unrated for div2?

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    19 месяцев назад, # ^ |
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    i suppose this is just slow ,maybe they are bussy now ,but it make me feel not good that they update the rating change for div1 already , but just don't update for div2

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      19 месяцев назад, # ^ |
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      the system has already finished , it isn't testing now , will it roll back?

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19 месяцев назад, # |
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nice div2 hope no interactive problem next time XD

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19 месяцев назад, # |
Rev. 3   Проголосовать: нравится +12 Проголосовать: не нравится

As a newbie, I'd like to share my solutions to Div.2 ABC. I solved all three problems in a constructive way.

Problem A: The statement "jumping from one lattice point to another without touching other lattice points" directly hints that the delta x and delta y of the jump should be relatively prime. However, it's impossible to traverse all the possible jumps. I tried several cases and the cases where the delta x or delta y equals 1 caught my attention, e.g., (1, 3) and (4, 1). I realized that two jumps that form an "L" shape would always be possible. Solution: 201604536.

Problem B: I misunderstood the problem at first, thinking the path will traverse all the points and gives an easy construction[submission:201606323]. I got WA and read the statement again. I realized that the path with minimum cost was not required to go through all the points. I studied the sample cases and found the answer has some fixed patterns. - P1: Each grid with the coordinate (1, 2k — 1) or (2, 2k) will contribute a positive term to the loss while grids with the coordinate (1, 2k) or (2, 2k — 1) will make negative contributions. To maximize the minimum loss, we can put n + 1, ..., 2n to grids with the coordinates (1, 2k — 1) and (2, 2k), and put 1,..., n to grids with the coordinates (1, 2k) and (2, 2k — 1). - P2: The path with minimum loss should not go down more than once. Based on P1, each time the path goes down, it will get an additional positive cost. So the path with the minimum cost should go down only once, i.e., (1,1) to (1, n) to (2, n) or (1, 1) to (2, 1) to (2, n). Note that this has not been proved rigorously. - P3: The path will always go through (1, 1) and (2, n). So we can put 2n and (2n-1) into these two grids. To maximize the minimum cost, we put -1 and -2 to (1, n) and (2, n-1), as the path will always go through one of them. For the left -3, -4, ..., n and n+1, n+2,..., 2n -2, to maximize the minimum cost, we pair them evenly, e.g., (-3, n + 1) and (-4, n + 2), and put these pairs into adjacent grids. Solution: 201608912.

Problem 3: This a tough one for me. I was not following the editorial and thought about a[i+1] — a[i]. Instead, I start with sequences with a length of 3. I found it is always possible to reach a solution. Moreover, we can always get a solution with three same numbers. For example, with a sequence {a1, a2, a3}, we can make it {a1, a1, a3'} by adjusting a2 and a3. Then we can get {a3', a3', a3'} by adjusting {a1, a1}. Based on this observation, we can extend to sequences with a length of 5. For example, with a sequence {a1, a2, a3, a4, a5}, we can first get {a3', a3', a3', a4, a5}. Then for {a3', a4, a5}, we can also get {a5', a5', a5'}. Then by adjusting {a3', a3'} to {a5', a5'}, we can get {a5', a5', a5', a5', a5'}. We can extend this construction to all the sequences with an odd length. So, when n % 2 == 1, always output "YES". For sequences with an even length n=2k, we already know that {a1, a2, a[2k-1]} can always be adjusted into {a[2k-1]', a[2k-1]', ..., a[2k-1]'}. To judge whether the whole sequence can be turned into a non-descending one, we only need to judge a[2k-1]' and a[2k]. To make it possible, we expect a[2k-1]' to be as small as possible and satisfy a[2k-1]' <= a[2k]. So the problem turns into finding the minimum a[2k-1]'. We can get the answer by traversing the sequence. Note the construction for the odd-length sequences is based on the last three consecutive elements in the sequence, we record the current minimum a[2k-1]' with $cur and take the next two elements into consideration, i.e, {$cur, a[i], a[i + 1]}. If $cur <= a[i], we can decrease a[i] to $cur and take a[i + 1]' = a[i + 1] + $cur — a[i] as the new $cur. Note the new $cur cannot be smaller in order to keep it non-descending. If $cur > a[i], we need to increase a[i] to $cur. Solution: 201627091.

I am still not familiar with interactive problems.

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19 месяцев назад, # |
  Проголосовать: нравится +9 Проголосовать: не нравится

Why there are rating changes in div 1 but no rating changes in div 2?

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19 месяцев назад, # |
Rev. 2   Проголосовать: нравится +4 Проголосовать: не нравится

@culver0412 Please look at the matter of div 2 rating update.[user:culver0421]

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19 месяцев назад, # |
  Проголосовать: нравится +6 Проголосовать: не нравится

Why div.2 rating still haven't updated?It's not the normal speed,is it?

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19 месяцев назад, # |
  Проголосовать: нравится +1 Проголосовать: не нравится

Why the rating of div 2 not updated yet, it has been done for div 1.

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19 месяцев назад, # |
  Проголосовать: нравится +8 Проголосовать: не нравится

I hope the div2 rating update is just a delay, not only me but many people have worked hard in this contest

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19 месяцев назад, # |
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may be it is unrated

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19 месяцев назад, # |
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I will be deeply sad if a great round unrated,,,qwq

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19 месяцев назад, # |
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This round better be rated; it would make me blue.

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19 месяцев назад, # |
  Проголосовать: нравится +4 Проголосовать: не нравится

Isn't it taking unusually long to update the ratings for the Div 2 contest? It's almost been 24 hours. culver0412 any updates?

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19 месяцев назад, # |
  Проголосовать: нравится +10 Проголосовать: не нравится

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19 месяцев назад, # |
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Feeling like Educational contest.

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19 месяцев назад, # |
  Проголосовать: нравится +3 Проголосовать: не нравится

what happened???

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19 месяцев назад, # |
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Questions rating is updated but our rating is not update till now LOL.

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19 месяцев назад, # |
  Проголосовать: нравится +5 Проголосовать: не нравится

May be Mike forgot about Div2 people (:

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19 месяцев назад, # |
  Проголосовать: нравится +23 Проголосовать: не нравится

We should work hard to participate in Div 1 for a fast rating change ^^

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19 месяцев назад, # |
  Проголосовать: нравится +3 Проголосовать: не нравится

Why the rating hasn't been updated? This seems unusual.

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19 месяцев назад, # |
  Проголосовать: нравится +7 Проголосовать: не нравится

what's taking them so long, hope this contest stays rated

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19 месяцев назад, # |
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Can someone tell me what's wrong with my code 201696829 for D (Div 2.).

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    19 месяцев назад, # ^ |
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    Read instructions for interactive problems. You should add cout.flush(); after all your cout’s.

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      19 месяцев назад, # ^ |
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      won't "endl " do the same;

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        19 месяцев назад, # ^ |
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        Sorry, yes it does. As far as I understood, you just restore the order of your permutation, however your tree is not 1-2-3…n and it is 1-n-2-… You should restore the indices by multiplying 2 permutations .

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19 месяцев назад, # |
  Проголосовать: нравится +13 Проголосовать: не нравится

[ ]

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19 месяцев назад, # |
Rev. 2   Проголосовать: нравится +22 Проголосовать: не нравится

As far as I know, the round is rated for both divisions. Please wait patiently, we have contacted our coordinator regarding rating changes (but we haven't received a response yet).

UPD: Ratings have been updated. Thanks for being patient. Although it would be better to not spam so many comments under this blog post as I have already clarified the situation.

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19 месяцев назад, # |
  Проголосовать: нравится +5 Проголосовать: не нравится

When there is going to be a rating changes?

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19 месяцев назад, # |
  Проголосовать: нравится +18 Проголосовать: не нравится

If I waited for my ex for this long I would be happy married with her rn

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19 месяцев назад, # |
Rev. 3   Проголосовать: нравится +2 Проголосовать: не нравится

.

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19 месяцев назад, # |
Rev. 2   Проголосовать: нравится +2 Проголосовать: не нравится

Please update the rating fast. I can't wait anymore :(

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19 месяцев назад, # |
Rev. 2   Проголосовать: нравится +1 Проголосовать: не нравится

An Eternity has passed but the codeforces rating is still not updated.

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19 месяцев назад, # |
  Проголосовать: нравится +2 Проголосовать: не нравится
Spoiler
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19 месяцев назад, # |
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I have some questions about the hack of each contest, why this submission can be accepted when running the following test, hope someone can explain my stupidity!

https://codeforces.me/contest/1816/submission/201550399

Input : 1 8 1000000000 1 1000000000 1 1000000000 1 1000000000 1

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19 месяцев назад, # |
  Проголосовать: нравится +1 Проголосовать: не нравится

Where is the rating update?(

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19 месяцев назад, # |
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Why haven't the ratings been updated yet, even after the maintenance has got over, was this contest Unrated for div 2, culver0412,snowysecret

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19 месяцев назад, # |
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Maintenance is complete but it looks like this round won't be rated

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19 месяцев назад, # |
  Проголосовать: нравится +5 Проголосовать: не нравится

It's confirmed. Mike forgot about Div 2 people.

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19 месяцев назад, # |
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Maybe I'm missing something, but why didn't the rating of div 2 change?

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19 месяцев назад, # |
Rev. 2   Проголосовать: нравится 0 Проголосовать: не нравится

........

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    19 месяцев назад, # ^ |
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    I would be surprised if they are purposefully holding back the rating changes. No point in spamming the organizers; if anything, it will just slow down everything even more.

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19 месяцев назад, # |
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MikeMirzayanov, div 2 rating not yet updated. Please look into this.

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19 месяцев назад, # |
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is codeforces round 865 is rated or unrated ? if rated then when will update rating >

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19 месяцев назад, # |
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Guys, stop panicking. Coordinators probably new about server maintence, so we dont get our detla yesterday. Now since codeforces is back little time has passed. Just be patient and wait

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19 месяцев назад, # |
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was it unrated for div 2?

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19 месяцев назад, # |
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Finally

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19 месяцев назад, # |
Rev. 2   Проголосовать: нравится +1 Проголосовать: не нравится

Finally, the rating has been updated

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19 месяцев назад, # |
  Проголосовать: нравится +14 Проголосовать: не нравится

Sorry to all the coordinators and everyone, we got panicked and wrote a lot of comments on the same, Thanks for updating the rating.