AminAnvari's blog

Segment Tree Problems
By AminAnvari, 9 years ago, In English

Hi :)
These are some segment tree problems on codeforces. Ofcourse it is not complete and I hope we will complete it with your help. And great thank to NikaraBika for helping me.

UPD : more Segment Tree

Classic :
339D - Xenia and Bit Operations
356A - Knight Tournament
459D - Pashmak and Parmida's problem
61E - Enemy is weak
380C - Sereja and Brackets
474F - Ant colony
292E - Copying Data
501D - Misha and Permutations Summation
220E - Little Elephant and Inversions
338E - Optimize!
19D - Points
351D - Jeff and Removing Periods
515E - Drazil and Park
540E - Infinite Inversions
609F - Frogs and mosquitoes
594D - REQ
455E - Function

Lazy Propagating:
52C - Circular RMQ
145E - Lucky Queries
558E - A Simple Task
240F - TorCoder
446C - DZY Loves Fibonacci Numbers
115E - Linear Kingdom Races
438D - The Child and Sequence
121E - Lucky Array
610E - Alphabet Permutations
580E - Kefa and Watch

Segment tree with Vector:
369E - Valera and Queries
610D - Vika and Segments

Offline Query:
301D - Yaroslav and Divisors
500E - New Year Domino

Segment Tree & Dp:
474E - Pillars
597C - Subsequences
56E - Domino Principle

Segment Tree & Bits:
482B - Interesting Array
242E - XOR on Segment

Segment Tree & Tree:
383C - Propagating tree
343D - Water Tree
173E - Camping Groups
276E - Little Girl and Problem on Trees
396C - On Changing Tree
516D - Drazil and Morning Exercise
375D - Tree and Queries

titles are not tag :))

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Comments Comments (94)
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9 years ago, # |
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Thank you MR anvari

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9 years ago, # |
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omG Tnx AA :D

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9 years ago, # |
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This should also help.

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9 years ago, # |
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another segment tree & bits

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9 years ago, # |
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Segment tree on string: Letter Array

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9 years ago, # |
  Vote: I like it +8 Vote: I do not like it

Hackerrank's advanced level problems on segment trees are nice too. Check them out.

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9 years ago, # |
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I was looking for this everywhere , i think it will be great helpful for me Thank you.

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9 years ago, # |
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How come i can only see problem names in russian?

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    9 years ago, # ^ |
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    Umm... right now it can't be seen in english, which I believe most of us need, it would be great to show it like this: [problem code] [english name] / [russian name]

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      9 years ago, # ^ |
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      Now you can see problems in English :))

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        9 years ago, # ^ |
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        Again they are in russian; Why ?

        UPD You fixed that again, but in my comment it is russian yet,how to fix it?

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9 years ago, # |
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Is 356A — Knight Tournament a segment tree problem?

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    8 years ago, # ^ |
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    A little bit late ;-) Yes, it is possible to solve it with a segment tree. But instead of updating a single value and querying for ranges, you have to invert it so that you can modify an interval and get access to each element. Additionally you have to make sure that you insert the fights in the reversed order, otherwise some fights will overwrite others. Here is my implementation: 23198751

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    6 years ago, # ^ |
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    Thank YOU :)

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9 years ago, # |
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This should be updated with the problem links in this post. How can it be done ??

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9 years ago, # |
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Segment Tree & Dp: 629D - Babaei and Birthday Cake

Segment Tree & Heavy Light Decomposition : 117E - Tree or not Tree

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8 years ago, # |
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Wow! This will be so much helpful to many. Thanks for the effort!

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8 years ago, # |
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760E is also a segment tree problem

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8 years ago, # |
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This question(570C) can also be solved using segment tree.Here is my solution.

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    7 years ago, # ^ |
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    That's overkill. There exists an easier and faster solution for that problem.

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8 years ago, # |
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Segment tree + dp 675E - Trains and Statistic

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7 years ago, # |
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You can also find many Segment Tree problems on A2 Online Judge. They are ranked by their difficulty, and also including many online judges like codeforces, SPOJ, codechef etc.

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7 years ago, # |
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Segment tree + DP problem : D. Babaei and Birthday Cake

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7 years ago, # |
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Can anyone help me with this? I don't know how use a segment tree in order to solve the problem. I solved this using a C++ set. Thanks in advance.

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7 years ago, # |
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How to solve 459D using a segment tree? I solved it using Fenwick tree but I could not think of a solution using segment tree.

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7 years ago, # |
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This blog contains 20 Segment tree Problems (Easy, Medium, hard) along with there solutions. Hope it helps someone.

http://mirror.codeforces.com/blog/entry/46602

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7 years ago, # |
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Shouldn't 292E — Copying Data be under the "Lazy Propagation" section?

If not, how to solve this problem using just classic segment tree?

Nice list, by the way.

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    7 years ago, # ^ |
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    I solved it using Lazy Propagation, I couldn't find a way without it, I join the request for a non-lazy-propagation solution.

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    20 months ago, # ^ |
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    195948434

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7 years ago, # |
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How to solve Enemy is Weak Problem using segment tree,I'm not able to understand the editorial.

Links Problem Enemy is Weak

Editorial blogpost

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    7 years ago, # ^ |
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    1 Let's use coordinate compression on a[i]. Then we have all the a[i] in the range (0, N].

    2 Let's create new array b[MAXN].

    b[i] — amount of j what a [j] > a [i] and j < i.

    It can be done with Fenwick or Segment tree.

    for (int i = 1; i <= n; i++){
  b [i] = get (a[i] + 1, n);
  upd(a [i], 1); 
}

    3 Answer will be sum of d [i].

    d[i] — sum of all b [j] what j < i and a [j] > a [i].

    for (int i = 1; i <= n; i++){
  d[i] = get (a[i] + 1, n);
  upd(a [i], b [i]);
}

    Sorry For My English

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7 years ago, # |
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Thanks !! It was very very helpful.

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7 years ago, # |
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Thanks a lot bud. Finally a compilation of segtrees problems in codeforces

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7 years ago, # |
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877E — segment tree on tree

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7 years ago, # |
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Why the code is showing TLE for Xenia and Bit operation. http://mirror.codeforces.com/contest/339/submission/33017272

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7 years ago, # |
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377D - Developing Game

605D - Board Game — segment tree and ...

...

540E - Infinite Inversions does not really require segment tree, Fenwick tree is enough.

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7 years ago, # |
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Great effort!!

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7 years ago, # |
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920F - SUM and REPLACE

could solve with segment... :))

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    7 years ago, # ^ |
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    Do you need lazy propagation? That was my idea in-contest but couldn't implement it right.

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7 years ago, # |
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Easy!

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7 years ago, # |
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Can someone explain , how to solve http://mirror.codeforces.com/contest/459/problem/D using segment tree . I tried to solve it using merge sort tree but got TLE . Then , i could solve it using BIT and map .

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    6 years ago, # ^ |
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    I solved it using merge sort tree. Needed a little bit of optimization though.

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7 years ago, # |
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Problem link

Can anyone help me out? I m stuck and not able to find any editorial for it.

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7 years ago, # |
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958C3 - Encryption (hard) ==> dp + segment(bit)

it's a good problem for practice in my opinion :)

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6 years ago, # |
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One Occurrence

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6 years ago, # |
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How is https://mirror.codeforces.com/contest/438/problem/D a lazy propagation problem?

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6 years ago, # |
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This problem also can be solved using segment tree: 101061E - Playing with numbers
I have solved it using segment tree.

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6 years ago, # |
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914D

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6 years ago, # |
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877E - Danil and a Part-time Job , good problem about segment tree+tree+Lazy Propagating.

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6 years ago, # |
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Any of those about Persistent Segment Tree?

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6 years ago, # |
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Thanks! It's really useful.

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6 years ago, # |
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Thank you AminAnvari! Can someone share a list of MUST SOLVE Dynamic Programming Problems on Codeforces?

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5 years ago, # |
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356A — Knight Tournament can be solved using set. No segment tree required

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5 years ago, # |
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1179 C

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5 years ago, # |
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1146E — Hot is Cold

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5 years ago, # |
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Lazy Propagation 1114F — Please, another Queries on Array?

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5 years ago, # |
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Thank you so much for the set of tasks!

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5 years ago, # |
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DP+segment tree: B. The Bakery

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5 years ago, # |
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thank you so much my segment tree journey started

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5 years ago, # |
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Can someone pls give me a bit intuition of using segment tree for 338E — Optimize!

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5 years ago, # |
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Has anyone solved 375D — Trees and Queries ? It is the last problem mentioned in the Segment Tree and Tree section?

My approach — I flattened the tree with Euler tour and I couldn't figure out the way to compute the answer with MO's algorithm. How with a change in k, can I get a current query answer from my past queries?? Any suggestion or external references are appreciated

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    5 years ago, # ^ |
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    I've solved this problem using MO's algorithm. First I've transformed the given tree into an array based on traversal order. Two index for every node. One for starting time another for finishing time. Within the segment lies the others vertexes of it's subgraph Then based on query nodes, I've a range for left and right. Then I ordered them in MO's ordering. In the MO's for add and remove function, I used two counter array. One for counting the appearances of the colors. And number of appearances of number of colors

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4 years ago, # |
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https://mirror.codeforces.com/contest/803/problem/G

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4 years ago, # |
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brother next time plz upload problems on HLD

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4 years ago, # |
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https://mirror.codeforces.com/contest/1478/problem/E

Spoiler

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4 years ago, # |
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Much needed problem set. Thanks a lot!

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3 years ago, # |
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Thanks a lot. That's really helpfull.

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3 years ago, # |
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Educational Round 112 Div 2 Problem E

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3 years ago, # |
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Thanks!!!

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3 years ago, # |
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Parenthesis Checking — A good segment tree problem from the recent AtCoder Beginner Contest

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    3 years ago, # ^ |
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    Hey! I just wanted to ask how you kept track of the minimum element in the cumulative sum. I saw the tutorial but didn't really get it. Any hints?

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      3 years ago, # ^ |
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      In case you still haven't solved it, here are few hints:

      Hint 1
      Hint 2
      Hint 3
      Hint 4
      Hint 5
      Hint 6
      Hint 7
      Still not able to solve?

      Have a nice day ahead :)

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    3 years ago, # ^ |
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    This is the same problem as Sereja and Brackets mentioned above. You just check if max subsequence is equal to (r-l+1)

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3 years ago, # |
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nothing

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3 years ago, # |
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I found another problem that uses "Segment Tree on Euler Tour of the tree" to solve it. The problem is 1132G - Greedy Subsequences and the tutorial is https://mirror.codeforces.com/blog/entry/65752.

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2 years ago, # |
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Thank you man

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12 months ago, # |
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how to solve ant colony?

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    10 months ago, # ^ |
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    you find gcd of [l,r] with sparse table, and count number of occurences of gcd in [l, r] with a simple pos array, and subtract it from n

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4 months ago, # |
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i am learning segment trees i tried Knight Tournament here is my solution 269847713 can anyone help i looked at others solution i cot that set approach but i wanted to know what i am doing wrong in segment trees....

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2 months ago, # |
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Thank you for this!

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2 months ago, # |
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Thanks

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