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
glays: 2017-08-15 21:35:20

Encountering a WA? Change every single int to long long.
Trust me, I thought it was stupid too :D
Also oversize your arrays, as much as you can.

nikhil2504: 2017-08-06 18:21:34

Be careful with 1ll*(e-s+1)*tree[node]

mamun_cuet: 2017-07-28 20:01:09

yes,got AC

mamun_cuet: 2017-07-28 16:52:32

used long long int, ar size 1e6 but Getting WA, need some test cases

soham_12345: 2017-07-21 22:36:06

remember to clear arrays after each testcase.costed me 3 WAs

namitp: 2017-07-18 11:06:22

int costed me 1 WA }("_"){

vinhvo: 2017-06-24 23:18:00

Using v as Integer won't work in Java, somehow it needs to be long as well. Even though, the question clearly stated 1 <= v <= 10^7

anshulwarade: 2017-06-24 12:43:07

IMPORTANT: use everything in long long, take size 4*(1e6+1)

deepak1228: 2017-06-21 00:18:01

tushar lazy propagation helped alot!!!

starbot: 2017-06-09 21:03:13

take everything in long long and also take arr size 1e6....


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.