You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.
system
Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.
Here are the input and output grids for the reference examples:
Example 1
Input:
Black Purple Blue Blue Purple
Black Brown Blue Blue Brown
Black Brown Blue Blue Brown
Black Purple Blue Blue Purple

Output:
Blue Purple Blue Blue Purple Blue Blue Purple Blue Blue
Blue Brown Blue Blue Brown Blue Blue Brown Blue Blue
Blue Brown Blue Blue Brown Blue Blue Brown Blue Blue
Blue Purple Blue Blue Purple Blue Blue Purple Blue Blue
Blue Brown Blue Blue Brown Blue Blue Brown Blue Blue
Blue Brown Blue Blue Brown Blue Blue Brown Blue Blue
Blue Purple Blue Blue Purple Blue Blue Purple Blue Blue
Blue Brown Blue Blue Brown Blue Blue Brown Blue Blue


Example 2
Input:
Black Black Black Black
Red Brown Brown Red
Brown Brown Brown Brown
Brown Brown Brown Brown
Red Brown Brown Red

Output:
Brown Brown Brown Brown Brown Brown Brown Brown
Red Brown Brown Red Brown Brown Red Brown
Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown
Red Brown Brown Red Brown Brown Red Brown
Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown
Red Brown Brown Red Brown Brown Red Brown
Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown


Example 3
Input:
Black Black Black Black Black
Black Black Purple Purple Black
Black Purple Purple Purple Purple
Black Purple Purple Purple Purple
Black Black Purple Purple Black

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Black Purple Purple Black Purple Purple Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Black Purple Purple Black Purple Purple Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Black Purple Purple Black Purple Purple Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


Here is the input grid for the test example:
Input:
Black Brown Black
Brown Blue Brown
Black Brown Black


Directly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.
user
The output grid for the test input grid is:

```
Black Brown Black Brown Black Brown
Brown Blue Brown Blue Brown Blue
Black Brown Black Brown Black Brown
Brown Blue Brown Blue Brown Blue
Black Brown Black Brown Black Brown
Brown Blue Brown Blue Brown Blue
```
assistant