lnzva's blog

By lnzva, history, 7 years ago, In English

^

  • Vote: I like it
  • +11
  • Vote: I do not like it

| Write comment?
»
7 years ago, # |
  Vote: I like it +80 Vote: I do not like it

I usually prove my greedy by submission. :)

  • »
    »
    7 years ago, # ^ |
      Vote: I like it +1 Vote: I do not like it

    Proof by Accepted :"D

    but what if there are weak tests?

»
7 years ago, # |
  Vote: I like it +6 Vote: I do not like it

There's one argument I use and if it doesn't work, I just believe in it :) Here's it (pretty standard):

Consider candidate to the answer x' ≠ x and where x is the one that would be chosen by greedy. Now we say that if we choose x something gets improved.

  • »
    »
    7 years ago, # ^ |
      Vote: I like it +3 Vote: I do not like it

    Proof by contradiction. Can you share some of your favorite greedy problems, I need to improve my problem solving on greedy problems :)

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

      You can use A2oj and select "Greedy" category in that.Or just google "Greedy problems codeforces".

»
7 years ago, # |
  Vote: I like it +45 Vote: I do not like it

Use the leaderboard. If many people have wrong submissions, it might mean that the obvious-ish greedy solution is wrong. Then one should think about it more. Find a countertest or prove it. Or just stresstest against the naive solution.

I usually think for a moment about a countertest or an easy proof. It doesn't make much sense to spend a lot of time to prove something, unless the solution would take long to implement

  • »
    »
    7 years ago, # ^ |
      Vote: I like it +6 Vote: I do not like it

    I used the leaderboard in the last contest for the clique problem (Div. 2 E — Div. 1 C Party) and the code passed the pretests. As it turned out, the pretests were just very weak and hundreds of greedy submissions including mine got Wrong answer on test 51 :(

    • »
      »
      »
      7 years ago, # ^ |
        Vote: I like it +1 Vote: I do not like it

      mehh, just call it a bad day , this trick is mostly godlike , especially to people like me :)

    • »
      »
      »
      7 years ago, # ^ |
        Vote: I like it +3 Vote: I do not like it

      I was thinking about contests with full feedback, but it's often the same for CF — as long as pretests aren't weak.

»
7 years ago, # |
  Vote: I like it +11 Vote: I do not like it

I don't have enough experience to advise you but several times I've seen solutions that are solved by some weird comparators then some processing.

Usually I got a little bit surprised, and thought to myself "What sort of thinking process did this guy/team go through", only to ask them later, and know they just implemented some verifier, and tried several comparators till one passed them, submitted and AC.

This is why I usually have a strong dislike against "hard to prove but easy to guess and code" greedy problems.