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
2015-12-30 21:56:09 Arjav
Easy with BIT as well !!!
2015-12-29 06:50:02
use long long for that v variable..
2015-12-24 12:31:08 anshal dwivedi
Direct implementation of segment tree with lazy propagation...! XD
2015-12-18 17:40:56 deepak bhagat
changed long long from int and it got accepted.
2015-12-18 13:46:42 sharif ullah
check if you initialize nodes and array with 0 after test cases!
2015-12-11 11:42:07 Mit
remember to reset your arrays after each test case ;)
2015-12-07 17:56:06
1 year back , I was like how to do this and now AC in one go :)
Direct Implementation of segment tree with lazy propogation.
2015-12-06 10:39:22 Kruti K Mohanta
Good question to learn segment tree with lazy propagation;
2015-10-29 02:03:11 Siddharth Singh
This problem literally translates into "please implement a Segment tree with lazy propagation "
2015-10-29 02:03:07 Siddharth Singh
This problem literally translates into "please implement a Segment tree with lazy propagation "
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