#3212. Pku3468 A Simple Problem with Integers

题目描述

You have N integers, A1, A2, ... , AN. You need to deal with two kinds of operations. One type of operation is to add some given number to each number in a given interval. The other is to ask for the sum of numbers in a given interval.

输入格式

The first line contains two numbers N and Q. 1 ≤ N,Q ≤ 100000.
The second line contains N numbers, the initial values of A1, A2, ... , AN. -1000000000 ≤ Ai ≤ 1000000000.
Each of the next Q lines represents an operation.
"C a b c" means adding c to each of Aa, Aa+1, ... , Ab. -10000 ≤ c ≤ 10000.
"Q a b" means querying the sum of Aa, Aa+1, ... , Ab.

输出格式

You need to answer all Q commands in order. One answer in a line.

样例

样例输入

10 5  

1 2 3 4 5 6 7 8 9 10  

Q 4 4  

Q 1 10  

Q 2 4  

C 3 6 3  

Q 2 4  

样例输出

4  

55  

9  

15  

数据范围与提示

The sums may exceed the range of 32-bit integers.