Блог пользователя rachitiitr

Автор rachitiitr, история, 9 лет назад, По-английски

Hi CF Community,

Here is my blog rachitiitr.blogspot.in.
I have started to write about the interesting problems I encounter during contests. Interesting means really interesting, the problems that kept me thinking for hours or those having beautiful solution worth mentioning.
After explaining the underlying concept and solution, I usually also attach the code at the end of post.

So if you are bored and need a place where you can find good problems, see how they were solved, learn something new, you should check out the posts I make on the blog.
I suggest to read one post everyday before going to bed. Also people in DIV2 can certainly learn a lot by reading the posts. I have 5 posts as for now:
1. A Hard Combinatorics Problem
2. A Longest SubArray Problem
3. A Greedy, Math Problem
4. A Connectivity Problem on Directed Graph
5. A Hard Problem on Bit Logic (NEW)

I will try to be as active as possible.

Cheers!

  • Проголосовать: нравится
  • +70
  • Проголосовать: не нравится

»
9 лет назад, скрыть # |
 
Проголосовать: нравится +5 Проголосовать: не нравится

Thank you !! it will be very useful

»
9 лет назад, скрыть # |
 
Проголосовать: нравится +5 Проголосовать: не нравится

I'm curious about the 3rd problem. What if I write 1 'a' times, 2 'b' times, and so on. I will binary search on 'a' so it's <= N, and as the number of subsequences = aC2 + aC4 + ...., therefore, a can be very small, I mean 'a' can be as small as 30 to take up almost 10^12 subsequences. Once I've found the maximum 'a', I go to 'b' and so on. We see that a sequence like 111112223 will never have good subsequences involving more than one label, ie: 1122 is not good.

Is my approach wrong somehow?

»
9 лет назад, скрыть # |
Rev. 2  
Проголосовать: нравится +5 Проголосовать: не нравится

In "A connectivity problem on directed graph", you can use bitarray (not bitset) — 64bit integer array that contains all true/false element in binary notation. You can express 64 true/false value in one 64bit integer.
So this problem can solve in O(N2 / 64). My solution of City Construction is here, and it passed in 0.14s.

»
9 лет назад, скрыть # |
 
Проголосовать: нравится +5 Проголосовать: не нравится

Great initiative and it will be very helpful.

»
9 лет назад, скрыть # |
 
Проголосовать: нравится -11 Проголосовать: не нравится

go on, i'm hungry and want to eat DP(good and unique ones) :)