# Problem B

Rock, Scissors, Paper

Bart’s sister Lisa has created a new civilization on a two-dimensional grid. At the outset each grid location may be occupied by one of three life forms: Rocks, Scissors, or Papers. Each day, differing life forms occupying horizontally or vertically adjacent grid locations wage war. In each war, Rocks always defeat Scissors, Scissors always defeat Papers, and Papers always defeat Rocks. At the end of the day, the victor expands its territory to include the loser’s grid position. The loser vacates the position.

Your job is to determine the territory occupied by each life form after $n$ days.

## Input

The first line of input contains $1 \le t \le 5$, the number of test
cases. Each test case begins with three posititve integers not
greater than $100$:
$r$ and $c$, the number of rows and columns in
the grid, and $n$, the
number of days. The grid is represented by the $r$ lines that follow, each with
$c$ characters. Each
character in the grid is ‘`R`’,
‘`S`’, or ‘`P`’, indicating that it is occupied by Rocks,
Scissors, or Papers respectively.

## Output

For each test case, print the grid as it appears at the end of the $n$th day.

Sample Input 1 | Sample Output 1 |
---|---|

2 3 3 1 RRR RSR RRR 3 4 2 RSPR SPRS PRSP |
RRR RRR RRR RRRS RRSP RSPR |