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
2015-07-13 12:30:15 Obliterator
@Akash, try using long long in place of int. Apparently there is a problem of overflow.
2015-07-12 05:34:05 AAKASH SHINGHAL
Is there any corner edge in this problem? I'm repeatedly getting wrong answer after many tries
2015-07-11 07:28:43 Obliterator
@Mayank, I was just trying to help. Well, suit yourself
2015-07-10 19:06:31 Aditya Kumar
really nice question to start with lazy propagation.
If someone really wants to learn lazy propagation + segment tree ---- try------http://www.codechef.com/JULY15/problems/ADDMUL

Last edit: 2015-07-10 19:06:54
2015-07-09 14:43:14 [Mayank Pratap]
My first seg tree + lazy propagation ...... NIce Prob :)
2015-07-08 12:53:37 [Mayank Pratap]
@Obliterator .... Please solve the problem first .... :P
2015-07-07 22:27:49 Obliterator
@Mayank Try BIT
2015-07-05 18:55:49 [Mayank Pratap]
Has anyone done it without lazy propagation .??
2015-06-30 10:42:51 Tony T.
edit: AC after reading some explanations. Needed to understand how to do range queries.

Last edit: 2015-06-30 12:20:19
2015-06-22 18:30:44 Gaurav kumar
feels good to learn lazy propagation...:)
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