HORRIBLE  Horrible Queries
World is getting more evil and it's getting tougher to get into the Evil League of Evil. Since the legendary Bad Horse has retired, now you have to correctly answer the evil questions of Dr. Horrible, who has a PhD in horribleness (but not in Computer Science). You are given an array of N elements, which are initially all 0. After that you will be given C commands. They are 
* 0 p q v  you have to add v to all numbers in the range of p to q (inclusive), where p and q are two indexes of the array.
* 1 p q  output a line containing a single integer which is the sum of all the array elements between p and q (inclusive)
Input
In the first line you'll be given T, number of test cases.
Each test case will start with N (N <= 100 000) and C (C <= 100 000). After that you'll be given C commands in the format as mentioned above. 1 <= p, q <= N and 1 <= v <= 10^7.
Output
Print the answers of the queries.
Example
Input:
1
8 6
0 2 4 26
0 4 8 80
0 4 5 20
1 8 8
0 5 7 14
1 4 8
Output:
80
508
hide comments
asfd:
20190412 05:24:26
Why should array size be 4*n instead of pow(ceil(log2(n)+1) ? 

knir0103:
20190404 20:33:28
Something wrong with test cases, p and q can exceed N, fixed this then AC :) 

amantu_amir:
20190329 13:03:52
Nice problem,,,


aditya81070:
20190309 22:34:54
In question they have described that there will be an array of N integers but in the sample test case, they have not provided any array in input. 

itssanat:
20190302 14:06:04
my 50th on spoj :):) 

joueur:
20190123 16:58:01
2 BIT .... AC 

vinaytop:
20190114 18:57:50
showing tle in java (even for taking input)


johaer_wasif:
20181217 10:50:58
If you are using global array then make sure that you set all element of tree, lazy and array to zero after every testcase. 

Rahul Kathuria:
20181119 14:23:01
nice qsn :) 

akshaybhatia95:
20181113 16:34:56
make sure tree size is 4*n 
Added by:  Iqram Mahmud 
Date:  20101204 
Time limit:  2.329s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ASM64 
Resource:  Own. Thanks to Emir Habul. 