300iq's blog

Codeforces Round #530 — Editorial
By 300iq, 5 years ago, translation, In English
Tutorial is loading...
Tutorial is loading...
Tutorial is loading...
Tutorial is loading...
Tutorial is loading...
Tutorial is loading...
Tutorial is loading...
Tutorial is loading...
Tutorial is loading...
Tutorial is loading...
  • Vote: I like it
  • +100
  • Vote: I do not like it

Comments Comments (14)
| Write comment?
»
5 years ago, # |
  Vote: I like it +20 Vote: I do not like it

"A fat fish can't dangerously eat a fish with smaller weight. Indeed, even if all the smaller fishes eat each other, the resulting fish would be too small. We can conclude that the danger is not greater k−t." How can you conclude that? All fat fish may as well take part only in fights with bigger eels, case in which the argument you have doesn't imply a "lost fight". They as well might fight with each other (you have around t/2 non-dangerous fights from here, and from then on, there's no argument as to why those newly created eels will not take part only in dangerous fights). Could you give a more formal proof for that observation?

→ Reply
  • »
    »
    5 years ago, # ^ |
      Vote: I like it +18 Vote: I do not like it

    Let's take fat fish, say it is k-th in sorted order. Let's give each fish its mark: it will be 1 for (k - 1)-th fish, 2 for each fish smaller than (k - 1)-th, and 0 for all bigger (including our fat fish). The result of the fight will be fish with mark min(x, y) where x and y are marks of fishes in the fight. In the end we will get fish with mark 0, so it is easy to see that there will be a fight between fishes with marks 0 and 1 at some moment. I claim that this fight is non-dangerous (any fish with mark 0 is more than twice bigger than any possible fish with marks 1 or 2). Also it is not hard to check that these fights are different for all fat fishes.

    → Reply
»
5 years ago, # |
  Vote: I like it 0 Vote: I do not like it

Can someone explain their easy approach for div2 D with example ?

→ Reply
  • »
    »
    5 years ago, # ^ |
    ← Rev. 4   Vote: I like it 0 Vote: I do not like it

    graph : https://imgur.com/a/Iac4Lm2

    Here we see,that s(1) = 1 ==> a(1) = 1.We can say,that a(3) = s(3) — a(1) and a(4) = s(4) — a(1). But can we reduce the answer?Yes.We can put on vertex 2 min(s(3) — a(1), s(4) — a(1)).And this value will embrace all children of vertex(2).So a(1) = 1, a(2) = 2, a(3) = 0, a(4) = 1. Ans = 4.

    → Reply
    • »
      »
      »
      5 years ago, # ^ |
        Vote: I like it 0 Vote: I do not like it

      how a(4)=s(4)-a(3) ???? cant get this part

      → Reply
      • »
        »
        »
        »
        5 years ago, # ^ |
          Vote: I like it 0 Vote: I do not like it

        and also plz explain when will be the answer not possible

        → Reply
        • »
          »
          »
          »
          »
          5 years ago, # ^ |
            Vote: I like it 0 Vote: I do not like it

          1)Fixed.2) If s(u) < s(v), where u is a child of the v

          → Reply
»
5 years ago, # |
  Vote: I like it 0 Vote: I do not like it

please provide proof of problem E- Nice Table.

→ Reply
  • »
    »
    5 years ago, # ^ |
      Vote: I like it +16 Vote: I do not like it

    If a row contains three characters, two neighbor rows of each row will be same. If a column contains three characters, two neighbor columns of each column will be same. Thus, in a good matrix, either each row contain at most two different characters, or each column contain at most two different characters.

    → Reply
»
5 years ago, # |
  Vote: I like it 0 Vote: I do not like it

How to find amount of integer solutions of inequality with Euclidean algorithm div1 E ?

→ Reply
»
5 years ago, # |
  Vote: I like it 0 Vote: I do not like it

My solution for div 2 F: Cookies gives WA verdict on test 6. I followed the same approach as given in editorial. Can someone kindly point out my mistake? Thanks in advance. 49932059

→ Reply
»
4 years ago, # |
  Vote: I like it 0 Vote: I do not like it

IN problem Sum in the tree 10 1 1 2 2 2 3 7 7 7 1 2 -1 -1 3 2 -1 2 3 4 As per question for this test case solution should provide ans as 7 but most of solution is giving -1 as answer. Correct me if I am wrong.

→ Reply
»
3 years ago, # |
  Vote: I like it 0 Vote: I do not like it

In problem 1098D Eels, if we use set or priority_queue to maintain each half-interval, isn't the complexity O(log^2 n) pre query(instead of O(log n)) ?

→ Reply