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
mrmajumder:
20200205 09:07:33
Took me two days to solve it.


sangmai:
20200122 04:58:16
not using lazy propagation cost me two tle, one run time error for two small array size, and 8 WA for not using long long int and some silly mistakes. Now finally AC. 

gustavo_farani:
20200113 22:32:44
Segmentation fault with less than 4*n as size for Segment Tree's array Last edit: 20200113 22:41:40 

transonviet:
20200103 16:42:41
Solve it using c++ 4.3.2 i'm using c++ 8.3 and it gave WA =(((( 

lscat:
20200102 12:05:32
sometimes, p and q don't satisfy that condition: `1 <= p, q <= N`. Last edit: 20200102 12:10:15 

luvkumbi:
20191229 12:53:29
Just undestand this:


ahmet25:
20191218 15:55:27
when you have WA try to increase the array size, 1.000.000 works.


azizulalif:
20191101 11:51:19
Clear your array properly.... 

codeanna:
20191027 08:34:14
direct implementation of lazy propagation...


sapjv:
20191016 16:27:08
Don't forget to clear segment tree array and lazy array after each test case. It costed me 4 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. 