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### A Simple Problem with Integers

Time Limit: 5000 ms
Memory Limit: 131072 KiB

#### Problem Description

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.

#### Input

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.

#### Output

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

#### Sample Input

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

#### Sample Output

4 55 9 15

#### Hint

poj3468 有链接提示的题目请先去链接处提交程序，AC后提交到SDUTOJ中，以便查询存档。 The sums may exceed the range of 32-bit integers.

#### Source

POJ Monthly--2007.11.25, Yang Yi