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5592: DZY Loves Colors

内存限制：256 MB 时间限制：2 S 标准输入输出
题目类型：传统 评测方式：文本比较 上传者：
提交：1 通过：1
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题目描述

C. DZY Loves Colors
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output
DZY loves colors, and he enjoys painting.
On a colorful day, DZY gets a colorful ribbon, which consists of n units (they are numbered from 1 to n from left to right). The color of the i-th unit of the ribbon is i at first. It is colorful enough, but we still consider that the colorfulness of each unit is 0 at first.
DZY loves painting, we know. He takes up a paintbrush with color x and uses it to draw a line on the ribbon. In such a case some contiguous units are painted. Imagine that the color of unit i currently is y. When it is painted by this paintbrush, the color of the unit becomes x, and the colorfulness of the unit increases by |x-y|.
DZY wants to perform m operations, each operation can be one of the following:
  1. Paint all the units with numbers between l and r (both inclusive) with color x.
  2. Ask the sum of colorfulness of the units between l and r (both inclusive).
Can you help DZY?
Input
The first line contains two space-separated integers n,m(1≤n,m≤105).
Each of the next m lines begins with a integer type(1≤type≤2), which represents the type of this operation.
If type=1, there will be 3 more integers l,r,x(1≤l≤r≤n;1≤x≤108) in this line, describing an operation 1.
If type=2, there will be 2 more integers l,r(1≤l≤r≤n) in this line, describing an operation 2.
Output
For each operation 2, print a line containing the answer − sum of colorfulness.
Examples
Input 
3 3
1 1 2 4
1 2 3 5
2 1 3
Output 
8
Input 
3 4
1 1 3 4
2 1 1
2 2 2
2 3 3
Output 
3
2
1
Input 
10 6
1 1 5 3
1 2 7 9
1 10 10 11
1 3 8 12
1 1 10 3
2 1 10
Output 
129
Note
In the first sample, the color of each unit is initially [1,2,3], and the colorfulness is [0,0,0].
After the first operation, colors become [4,4,3], colorfulness become [3,2,0].
After the second operation, colors become [4,5,5], colorfulness become [3,3,2].
So the answer to the only operation of type 2 is 8.

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