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
kkrishnaai: 2018-02-08 19:09:01

For those who are wondering about the array size, 4*n + 1 is sufficient coz 4*n are the maximum number of vertices in the tree for any n in a complete binary tree (plus 1 is required if u're starting with index 1).

amitboss: 2018-01-29 16:43:38

use long long instead of int , caused me 1 wa

ramini1996: 2018-01-28 17:28:44

My first in Lazy !!!

pant0000: 2018-01-03 12:42:11

Last edit: 2018-01-03 12:59:33
madhur4127: 2017-12-26 13:57:38

Last edit: 2017-12-26 16:13:53
manishkc: 2017-12-21 20:50:40

binary index tree AC :)

chachaji_harsh: 2017-12-09 14:37:07

Last edit: 2017-12-09 14:37:28
chetan4060: 2017-12-04 17:22:40

lazy rocks

neeraj745: 2017-11-24 03:22:29

This was my first problem on lazy approach. can anybody suggest me some good problems on lazy approach to grasp my concept better. not too hard but little harder that this. Thanks :)

shiv2111: 2017-11-04 07:02:55

cakewalk ->(ST+LAZY)


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.