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
shanick: 2015-02-24 22:21:36

i have used segment tree+Lazy Propagation..I dont understand mistake in code...https://ideone.com/**********,,,,please have a look

(Francky) => Please read the notes, and use forum for any help.

Last edit: 2015-02-25 00:24:27
Anne: 2015-02-20 08:29:30

too easy dude!

Gaurav Bansal: 2015-01-24 11:46:18

i just used scanf and got ac in 0.34 sec using segtrees.can't understand why so many users are getting tle.

Shubham Saini: 2015-01-17 11:39:25

Try solving it using both BIT and Segment Tree + Lazy Propagation. It will be worth the effort... :)

Rishab Banerjee: 2015-01-06 19:43:47

anyone before solving read @nitish25 comments ie: take 'v' long long int

Archit Jain: 2014-12-25 09:50:11

no need of BIT

kelaseek: 2014-12-19 14:27:21

the indices are also long (or) long long int

Wasim Thabraze: 2014-11-30 12:40:11

Try solving it using BIT. :)

Siddharth Singh: 2014-11-29 16:34:51

I Used BIT But Still i am Getting Time Limit Exceeded :(

Angel Gonzalez: 2014-11-26 02:12:18

My 75th, Segment Tree + Lazy Propagation = AC :) If you want a real challenge do it with BIT as well


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.