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
chachaji_harsh:
20171209 14:37:07
Last edit: 20171209 14:37:28 

chetan4060:
20171204 17:22:40
lazy rocks


neeraj745:
20171124 03:22:29
This was my first problem on lazy approach. can anybody suggest me some good problems on lazy approach to grasp my concept better. not too hard but little harder that this. Thanks :) 

shiv2111:
20171104 07:02:55
cakewalk >(ST+LAZY) 

v_pp_27:
20171102 14:34:53
direct implementation of segtree + lazy 

pratham_1:
20171010 18:40:23
CakeWalk AC;) 

vishesh197:
20171008 10:16:51
Solved it using segment tree and lazy propagation.....Learn it from youtube....(Tushar roy video).Remember if you are getting TLE even after implementation of lazy propagation means that either you have not implemented it properly leading to extra traversal of nodes in tree


ashutosh450:
20171003 20:06:43
Take maxsize as 4000001 :)


abhiyad:
20170927 13:26:13
use long long , converted WA to AC :)


javafreak:
20170926 03:41:02
Very good problem for clearing basics of Segment Trees and Lazy Propagation, took my 4 hours, but totally worth it. Remember to take all long long values . 
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. 