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

Added by:Iqram Mahmud
Date:2010-12-04
Time limit:2.329s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:Own. Thanks to Emir Habul.

hide comments
2020-10-26 16:18:25
Not clearing the global variables costed me WAs.
2020-08-06 01:28:26
Am so noob. Did everythin correct. Used long long and SegTree with lazy propagation but counted 1 less zero in the range of N. So dumb of me. Costed me 2 WA's. :(
2020-06-30 17:26:55
if you use BIT,then declare atleast 2*(1e5) size array
2020-06-14 17:17:14
Change everything to long long unsigned int and got ac :)
2020-06-08 14:29:56
what is the use of making an array? why can't we just initialize a segment tree with values as 0??
2020-06-04 13:14:26
people unable to debug go to udebug and find the input's. they are good
2020-06-03 17:44:50
finally got ac after lots of efforts
2020-06-03 10:56:57
if using segment tree , make a dynamic instead of array
2020-05-29 21:45:59
I think the constraints given are incorrect, costed me 3 WA. I changed everything to long long and voila!
2020-05-27 21:22:55
Standard BIT problem... Use Fast i/o and long long
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