maroonrk's blog

By maroonrk, history, 2 months ago, In English

We will hold AtCoder Regular Contest 111.

The point values will be 300-400-600-600-800-1000.

We are looking forward to your participation!

 
 
 
 
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2 months ago, # |
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For those interested, I'm planning to do a stream afterwards on Twitch.

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7 weeks ago, # |
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I wish good luck to all participants able to solve a problem in this contest. :/

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7 weeks ago, # |
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All the best to all the participants may you get a positive rating :D

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7 weeks ago, # |
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I give up!

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7 weeks ago, # |
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How to solve E?

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7 weeks ago, # |
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How to solve A?

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    7 weeks ago, # ^ |
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    If b divides a, then we can write (a/b) % p = a%(p*b) / b . Since we have to mod the floor value, we can ignore the condition above( b|a ). I used big mod to calculate a%(p*b) My submission

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      6 weeks ago, # ^ |
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      how did you know (a/b) % p = a%(p*b) / b it should be p*b??

      any source or explanation?

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        6 weeks ago, # ^ |
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        I don't know the source but it works. I found it so many days age here.

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    7 weeks ago, # ^ |
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    Find modulo result of (10^N) with (M^2). The result floor divided by M is the answer.

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7 weeks ago, # |
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To me, B was easier then A. How to solve A?

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    7 weeks ago, # ^ |
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    $$$ Answer =\frac {(10^N\%M^2 - 10^N\%M)}{M} $$$
    as we know the property $$$ \lfloor \frac{\lfloor \frac{A}{B} \rfloor }{C} \rfloor = \lfloor \frac{A}{B*C} \rfloor $$$
    Basically you want to calculate A
    $$$A = \lfloor \frac{10^N}{M} \rfloor - \lfloor \frac{10^N}{M * M} \rfloor * M$$$
    let $$$\lfloor \frac{10^N}{M} \rfloor = Q $$$ and $$$\lfloor \frac{10^N}{M*M} \rfloor = Q^\prime $$$
    we know that
    $$$ 10^N = Q * M + R $$$
    $$$ Q = \frac {10^N - R}{M}$$$

    $$$ 10^N = Q^\prime * M^2 + R^\prime $$$
    $$$Q^\prime = \frac {10^N - R^\prime}{M^2}$$$

    So, $$$A = Q - Q^\prime * M$$$
    $$$ A = \frac{(10^N - R) - (10^N - R^\prime) }{M}$$$ $$$ = \frac{R^\prime - R} {M} $$$
    $$$ =\frac {(10^N\%M^2 - 10^N\%M)}{M} $$$

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      7 weeks ago, # ^ |
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      Will you please explain your solution.

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        7 weeks ago, # ^ |
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        Imagine $$$10^n$$$ in base $$$m$$$ and you can see the answer is the second last digit.

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        7 weeks ago, # ^ |
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        $$$10^n = m*k + r_1$$$

        $$$(10^n - r_1)/m = k$$$

        $$$k = \left \lfloor \frac{10^n}{m} \right \rfloor$$$


        $$$r_2 = k \mod m$$$

        $$$k = m*k_2 + r_2$$$

        $$$(10^n - r_1)/m = m*k_2 + r_2$$$

        $$$10^n = (m^2)*k_2 + r_2*m + r_1$$$

        $$$r = r_2*m + r_1$$$

        $$$10^n = (m^2)*k_2 + r$$$


        $$$r = r_2*m + r_1$$$

        $$$answer = r_2 = (r - r_1)/m$$$

        $$$answer = r_2 = ((10^n)\%(m^2) - (10^n)\%m)/m$$$

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          7 weeks ago, # ^ |
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          how is r = ($$$10^n$$$) % ($$$m^2$$$) ???

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            7 weeks ago, # ^ |
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            We have assumed r = r2*m + r1 right When you put this thing in . The equation will look like 10^n = k2*m^2 + r. That means when you divide 10^n by m^2. Then it will leave remainder r and quotient k2. That's why the same Hope it helps

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        7 weeks ago, # ^ |
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        $$$\frac{10^n}{m}\bmod m=\frac{10^n\bmod m^2+k*m^2}{m}\bmod m$$$

        Meanwhile,

        $$$\frac{k*m^2}{m}\bmod m=0$$$

        Then the answer is

        $$$\frac{10^n\bmod m^2}{m}\bmod m$$$
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      7 weeks ago, # ^ |
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      great!

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    7 weeks ago, # ^ |
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    let y be the answer(0 <= y < M), then the condition is: ( 10N — (10N)%M — y*M)%(M2) = 0

    my proof

    Now how to solve B??

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      7 weeks ago, # ^ |
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      Ty, now i think im able to understand.

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      7 weeks ago, # ^ |
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      Create a graph of colors and keep deleting vertex with degree eguals to 1. In the end the answer is the number of vertex deleteds plus the remainders with degree greater then 1.

      Any vertex wich has degree equals to one, has only one chance to be chosen. In the end of the process of retiring these vertex, vertexes that have degree bigger then 1 can be put in a cycle that make they be chosen.

      I don't know how explain better, my poor english.

      My submission: 19286958

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        7 weeks ago, # ^ |
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        your idea was very clear of showing up the color that occurs once(degree 1) and remove then from graph now consider others. but please would you like to explain what editorial said i am unable to relate it with this.

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          7 weeks ago, # ^ |
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          Every conected component with the number of edges greater or equals than the number of vertex has at least one cycle, so in the process of deleting vertex of degree 1 in this component , it will remain just vertexes with degree greater than 1, so all vertex of the component can be chosen.

          In the case of there's no cycle in the connected component (when number of edges is the number of vertex minus 1), one vertex will remain without be chosen.

          I think this is the way the two solutions are linked.

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      7 weeks ago, # ^ |
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      Amazing proof!!

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      7 weeks ago, # ^ |
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      Make a graph with numbers on cards as nodes and edges as cards. For each connected components, count the number of edges it has (repeated is counted twice, vertices of components only once). If number of edges for a component is greater than equal to the number of vertices for the component, then we can take all vertices as numbers on cards. Otherwise we can only take (number of vertices — 1) for the component as contribution to the answer.

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        7 weeks ago, # ^ |
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        please would you like to explain what editorial said i am unable to relate it with yours explanation neither i understood it.

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    7 weeks ago, # ^ |
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    I felt A took more thinking than B and C and D

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7 weeks ago, # |
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Wow, I spent an hour trying to figure out how to calculate the sum of floors in E, and it turns out that Atcoder contestlib has a function to do exactly that???

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7 weeks ago, # |
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can anyone please explain what is wrong with this solution to D.

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    7 weeks ago, # ^ |
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    consider a single loop of nodes. your set of edges would contain 1 extra edge from the dfs root to one of its children

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7 weeks ago, # |
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I am wondering why my solution to B is incorrect.

My idea: build a graph using $$$N$$$ nodes as cards and some other nodes as colors. Connect an undirected edge between two kinds of nodes when a card has a color on its either side.

Then I tried Dinic but got TLE. I thought of a linear method but it got 13 WAs. My code is Here, could anyone found what the problem is?

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7 weeks ago, # |
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    7 weeks ago, # ^ |
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    Could you elaborate? This is wa, isn't it?

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      7 weeks ago, # ^ |
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      Probably judge solution is incorrect. I guessed some common pitfall and got AC.

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        7 weeks ago, # ^ |
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        Ok I got it, it's like you answer the question in the title, ok haha funny

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    7 weeks ago, # ^ |
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    We found this during the contest :)

    Maybe you were glad when you found the title "Do you like query problems?", then opened it, and ...

    Thank you for participation!

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      7 weeks ago, # ^ |
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      xd

      I liked it even though it was not a query problem. Thank you!

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7 weeks ago, # |
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Can anyone please explain the time complexity of D without the constraint that guarantees the existence of a solution to me? From the editorial of D, it is $$$O(N+M+\frac{N(N+M)}{\sigma})(\sigma:wordsize)$$$ but I don't know why.

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    7 weeks ago, # ^ |
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    Soln remains the same. The additional step is checking if the found soln is correct. Given a directed graph, count no of nodes reachable from a particular node. That wordsize is a hint for bitsets.

    Spoiler

    Upd: To the ones downvoting above comment. It wasn't obvious. I had the same doubt when I first read this.

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      7 weeks ago, # ^ |
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      I completely forgot that this task gave $$$c_i$$$ for every $$$1 \le i \le N$$$ so that I was always thinking about the way to check if the graph was strongly connected. That's why I didn't understand this time complexity.

      Anyway, thanks a lot for your help!

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7 weeks ago, # |
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Can somebody explain how to get the idea that problem B can be solved by transforming it into a graph problem. I could never think that the problem relates to graph. Thank you.

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    7 weeks ago, # ^ |
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    For me, at first I had a wrong idea. But eventually got the solution. First, I thought for every card I can choose only one color — (a or b). May be I could solve it using bicoloring. So, started drawing a graph. And eventually realized it wasn't a bicoloring problem and found the solution that I need to check only if there's any cycle.

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      7 weeks ago, # ^ |
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      why to apply graph i dont understand we have to find max color showing on one side so can not it be like this https://atcoder.jp/contests/arc111/submissions/19280968

      i know its wrong but why what i am not getting

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        7 weeks ago, # ^ |
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        Check this input

        • 3
        • 1 2
        • 1 3
        • 1 3

        Your solution gives 2. But you can take colors 2, 1, 3. So ans should be 3.

        • 4
        • 1 2
        • 1 3
        • 1 4
        • 3 4

        AC Ouput: 4 (2, 3, 1, 4)

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          7 weeks ago, # ^ |
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          Can you give some test cases which fails my code. I try to solve it using SET but failed 2 tests. But could not figure out what cases it fails.

              N = int(input())
              s = set()
              for i in range(N):
                  a, b = list(map(int, stdin.readline().split()))
                  s.add(a)
                  s.add(b)
              
              
              print(min(N, len(s)))
          
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7 weeks ago, # |
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What was difficulty of todays problems in terms of CF rating ?

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7 weeks ago, # |
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can't we solve problem B using DP??

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7 weeks ago, # |
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Problem E's maker has no wood!

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7 weeks ago, # |
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Problem C is really amazing. Learnt a lot from it!!

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7 weeks ago, # |
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I just want to note that the final %m in the solution given at the end of the editorial for problem A is unnecessary.

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7 weeks ago, # |
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can somebody explain why is this getting runtime error?

https://atcoder.jp/contests/arc111/submissions/19387114

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    7 weeks ago, # ^ |
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    a,b <=400000

    Array visited[200000] is to small.

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      7 weeks ago, # ^ |
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      Damn i always forget to change that..thanx man ur the best this is like 5th time u helped me out :)

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6 weeks ago, # |
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in my opinion, problem F should not have queries type 2