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
samarth5611: 2021-07-19 03:13:51

1 segment tree AC in 2 go

sicho_mohit: 2021-07-06 17:12:00

If you are getting sigsev error , then try to declare array size as 20*1e5.It worked for me.

sal_vat_ion: 2021-07-02 09:13:19

literally make everything long long and get AC.

khasrulalam: 2021-06-18 19:53:35

use long long

prmondal: 2021-05-31 15:09:21

@saurabh178
Make sure you are updating lazy nodes correctly otherwise having SegTree with LP would not serve any purpose.

leonardovn2525: 2021-05-09 01:19:15

The constraints are not wrong. A single v is at most 10^7 but since there are 10^5 numbers the sum of all v can be up to 10^12

saurabh178: 2021-04-27 08:38:44

getting TLE with lazy propagation. Any suggestions?? working fine with TC

minhkhuong: 2021-04-21 16:00:52

if you got WA and did everything right, the constraints are wrong. You must use long long for v.

sarthak_27: 2021-03-07 21:26:28

don't forget to clear the segment tree and other arrays if you have used to zero after each test case.
got WA's because of this

Last edit: 2021-03-07 21:27:08
tejasreddyk: 2021-02-01 08:38:14

what am I missing, I thought answer for the given test case in the problem should be
80
142

I'm very confused how is it 508. any help would be appreciated

Last edit: 2021-02-02 07:48:47

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.