Migrated from Lutece 206 Count Color

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Description

Chosen Problem Solving and Program design as an optional course, you are required to solve all kinds of problems. Here, we get a new problem.

There is a very long board with length $L$ centimeter, $L$ is a positive integer, so we can evenly divide the board into $L$ segments, and they are labeled by $1, 2,\cdots L$ from left to right, each is $1$ centimeter long. Now we have to color the board - one segment with only one color. We can do following two operations on the board:

1. C A B C Color the board from segment $A$ to segment $B$ with color $C$.
2. P A B Output the number of different colors painted between segment $A$ and segment $B$ (including).

In our daily life, we have very few words to describe a color (red, green, blue, yellow…), so you may assume that the total number of different colors $T$ is very small. To make it simple, we express the names of colors as color $1$, color $2$, ... color $T$. At the beginning, the board was painted in color $1$. Now the rest of problem is left to your.

Input

There is only one testcase! First line of input contains $L$ ($1\leq L\leq 100000$), $T$ ($1\leq T\leq 30$) and $O$ ($1\leq O\leq 100000$). Here $O$ denotes the number of operations. Following $O$ lines, each contains C A B C or P A B (here $A$, $B$, $C$ are integers, and $A$ may be larger than $B$) as an operation defined previously.

Output

Ouput results of the output operation in order, each line contains a number.

Samples

2 2 4
C 1 1 2
P 1 2
C 2 2 2
P 1 2

2
1

Note

The data used in this problem is unofficial data prepared by standy. So any mistake here does not imply mistake in the offcial judge data.

Resources

POJ Monthly--2006.03.26,dodo