Problem Statement

There is an $H \times W$ grid of cells with height $H$ and width $W$.
The rows are numbered from $0$ to $H-1$ vertically, and the columns are numbered from $0$ to $W-1$ horizontally.
Each cell is painted white or black, and all the cells form a checkered pattern.
The top-left cell is white.
A can perform either of the following operations on the grid.

・Choose row $x$ (0-indexed) and slide it by 1 cell from the left. (The rightmost cell that is pushed out moves to the leftmost position.)
・Choose column $y$ (0-indexed) and slide it by 1 cell from the top. (The bottommost cell that is pushed out moves to the topmost position.)

For example, suppose that the initial state has $H=4$ and $W=5$, and consider the following case.

・Choose row 1 and slide it by 1 cell from the left. (The rightmost cell that is pushed out moves to the leftmost position.)
・Choose column 4 and slide it by 1 cell from the top. (The rightmost cell that is pushed out moves to the leftmost position.)
・Choose row 0 and slide it by 1 cell from the left. (The rightmost cell that is pushed out moves to the leftmost position.)

The figure below illustrates the case where the above 3 operations are performed.


In this case, the top-left cell finally becomes black.

The operations A performed are given as input.
Determine the final color of the top-left cell.

Note

Input

$H$ $W$
$N$
$S_0$ $K_0$
$S_1$ $K_1$
$ \vdots\ $ 
$S_{N-1}$ $K_{N-1}$

$H$ and $W$ represent the number of cells vertically and horizontally, respectively. $1\le H,W \le 10000$.
$N$ represents the number of operations A performed. $1\le N \le 1000000$.
$S_i$ represents the type of the $i$-th operation A performed.
It is either 'R' for a row operation or 'C' for a column operation.
$K_i$ is the number of the row or column of the $i$-th operation A performed.
When $S_i$='R', $0\le K_i \le H-1$; when $S_i$='C', $0\le K_i \le W-1$.

Output

Output the color of the top-left cell after A has performed all the operations, on one line.
Output "white" if it is white, and "black" if it is black.
Do not forget the newline at the end.

Sample

4 5
3
R 1
C 4
R 0

black

5 5
4
C 3
R 2
C 3
R 4

white

6 5
10
C 0
C 2
R 5
C 3
R 0
C 2
R 3
C 1
C 2
R 0

white

1 2
5
C 0
R 0
C 0
R 0
C 1

white