MULTQ3 - Multiples of 3


There are N numbers a[0],a[1]..a[N - 1]. Initally 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

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

Sample Output :
4
1
0
2

Constraints

1 <= N <= 100000
1 <= Q <= 100000
0 <= A <= B <= N - 1


hide comments
BLANKRK: 2013-07-14 11:22:06

finaly done!!! after lots of tle's ,WA's n runtym error's.....:P

Erti-Chris Eelmaa: 2013-07-14 07:44:36

Don't use long long's(not that you need, but I copy/pasted solution from my previous problem, and forget to change them) - costed me few TLE's.

Chandan Singh: 2013-07-02 19:03:51

getting tle at 9th test case, i have used getchar_unlocked for faster i/o anything else i can do to get rid of tle ?

jalaj: 2013-06-07 09:05:33

no need of fast i/o..

Abhishek: 2013-06-03 18:45:44

for optimized code use inline functions.. without it i was getting TLE..

savage: 2013-06-02 14:40:05

Can't believe this, but this has been the first problem that I have faced where fast I/O and inline functions were the difference between AC and TLE .... guys go for fast I/O ...

mpvd: 2013-05-19 00:48:42

anything special about 9th test case .getting wrong answer at 9th test case??

:-): 2013-04-17 16:52:58

stupid lime limit

ALI HASAN: 2013-03-22 21:58:45

only one test case ?

Ze0nC: 2013-02-18 14:30:31

Is it possible to get AC with Python?
btw, is it faster to use stdin than raw_input?


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