MULTQ3 - Multiples of 3

There are N numbers a[0], a[1] ... a[N - 1]. Initially all are 0. You have to perform two types of operations :

  1. Increase the numbers between indices A and B (inclusive) by 1. This is represented by the command "0 A B"
  2. Answer how many numbers between indices A and B (inclusive) are divisible by 3. This is represented by the command "1 A B".

Input

The first line contains two integers, N and Q. Each of the next Q lines are either of the form "0 A B" or "1 A B" as mentioned above.

Output

Output 1 line for each of the queries of the form "1 A B" containing the required answer for the corresponding query.

Sample

Input:
4 7
1 0 3
0 1 2
0 1 3
1 0 0
0 0 3
1 3 3
1 0 3

Output:
4
1
0
2

Constraints

1 ≤ N ≤ 100000
1 ≤ Q ≤ 100000
0 ≤ A ≤ B ≤ N - 1


Added by:Varun Jalan
Date:2010-09-12
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: NODEJS OBJC VB.NET
Resource:own problem

hide comments
2024-09-10 09:15:17
Neftide game e asho prem kori
2024-04-12 19:33:28
I am getting WA on 9th Test case. Can anyone see what's wrong with this solution or suggest some sample test case please?
[Simes]: this is not the place for debugging code, use the forum. SPOJ doesn't work like that, don't assume you've got correct answers on cases 1 to 8.


Last edit: 2024-04-12 23:15:50
2023-12-20 09:43:01
can anyone tell me the approach to solve it?


Last edit: 2023-12-20 10:08:02
2023-11-12 17:39:42
i got 21times TLE .But i never give up.
I will solve it .
2023-02-01 06:36:05
Use shift operators for multiplying and dividing by 2.
Use Fast io instead of Scanner

Last edit: 2023-02-01 06:36:50
2022-11-26 06:53:06
Is lazy optimization necessary? getting TLE on testcase 8
2022-01-24 15:03:33
Same solution on codechef giving TLE. Are you guys encountering same problem or it just me ?
2020-07-31 14:28:09
after 7 WA, 2TLE, and a single silly mistake finally AC!
use fast IO and int (instead of ll)
2020-06-16 13:45:19
https://www.codechef.com/problems/MULTQ3
2020-05-27 07:59:51
Use fast input output in c++
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