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
Sigma Kappa:
20170920 21:51:17
Yes, someone earlier mentioned that v must be long long, I agree  turned my WA into AC. 

hitman007:
20170920 12:42:49
Moments of happiness when AC in one go after hours of implementation and testing !! 

sagnik_66:
20170906 17:25:18
Solved it first using Segment Trees. Then learnt BIT and solved it... Number of lines of code reduced to more then 2 times the original 

jaykay12:
20170903 12:15:29
Finally AC after 3 WA :) Nice Start for Segment Tree & Lazy Propagation.


sid_somani:
20170828 19:09:58
Direct implementation of Seg trees+lazy! 

glays:
20170815 21:35:20
Encountering a WA? Change every single int to long long.


nikhil2504:
20170806 18:21:34
Be careful with 1ll*(es+1)*tree[node]


mamun_cuet:
20170728 20:01:09
yes,got AC 

mamun_cuet:
20170728 16:52:32
used long long int, ar size 1e6 but Getting WA, need some test cases 

soham_12345:
20170721 22:36:06
remember to clear arrays after each testcase.costed me 3 WAs 
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. 