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: Paint all the units with numbers between l and r (both inclusive) with color x . Ask the sum of colorfulness of the units between l and r (both inclusive). Can you help DZY?
输入描述:
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.
输出描述:
For each operation 2, print a line containing the answer — sum of colorfulness.
示例1
输入
3 3<br />1 1 2 4<br />1 2 3 5<br />2 1 3<br />3 4<br />1 1 3 4<br />2 1 1<br />2 2 2<br />2 3 3<br />10 6<br />1 1 5 3<br />1 2 7 9<br />1 10 10 11<br />1 3 8 12<br />1 1 10 3<br />2 1 10<br />
输出
8<br />3<br />2<br />1<br />129<br />
备注:
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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