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 Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Black Black
Brown Brown Brown Brown Brown Brown Brown Red Brown Brown
Brown Brown Brown Red Brown Brown Brown Brown Brown Brown
Brown Black Brown Black Brown Brown Brown Brown Black Brown
Brown Brown Black Black Brown Black Black Brown Brown Brown
Brown Brown Brown Black Brown Brown Brown Brown Black Brown
Brown Black Brown Brown Black Brown Brown Brown Black Brown
Brown Brown Brown Brown Brown Brown Black Brown Brown Brown
Black Brown Brown Black Brown Brown Brown Brown Brown Brown

Output:
Black Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Black
Brown Brown Brown Yellow Yellow Brown Brown Yellow Yellow Brown
Brown Brown Brown Yellow Yellow Brown Brown Brown Brown Brown
Brown Black Brown Black Brown Brown Brown Brown Black Brown
Brown Brown Black Black Brown Black Black Brown Brown Brown
Brown Brown Brown Black Brown Brown Brown Brown Black Brown
Brown Black Brown Brown Black Brown Brown Brown Black Brown
Brown Brown Brown Brown Brown Brown Black Brown Brown Brown
Black Brown Brown Black Brown Brown Brown Brown Brown Brown


Example 2
Input:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Gray Gray Gray Gray Gray Black Gray Gray
Gray Gray Gray Black Gray Black Gray Gray Gray Gray
Gray Gray Gray Gray Red Gray Gray Gray Gray Black
Gray Gray Black Gray Black Black Gray Gray Gray Gray
Gray Red Black Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Black Gray Black
Black Gray Gray Black Gray Gray Gray Gray Gray Black
Gray Gray Gray Gray Gray Black Gray Gray Gray Gray
Gray Gray Gray Gray Black Gray Gray Gray Gray Black

Output:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Gray Gray Gray Gray Gray Black Gray Gray
Gray Gray Gray Black Yellow Yellow Gray Gray Gray Gray
Gray Gray Gray Gray Yellow Yellow Gray Gray Gray Black
Gray Yellow Yellow Gray Black Black Gray Gray Gray Gray
Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Black Gray Black
Black Gray Gray Black Gray Gray Gray Gray Gray Black
Gray Gray Gray Gray Gray Black Gray Gray Gray Gray
Gray Gray Gray Gray Black Gray Gray Gray Gray Black


Example 3
Input:
Gray Red Black Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Black Gray Black Black Gray Gray
Gray Gray Gray Gray Gray Gray Black Gray Gray Gray
Gray Gray Gray Gray Gray Red Gray Black Red Gray
Red Gray Gray Gray Gray Gray Black Gray Gray Gray
Gray Gray Gray Black Gray Black Gray Gray Gray Gray
Gray Black Black Gray Gray Gray Black Gray Gray Gray
Gray Gray Gray Gray Black Gray Gray Black Gray Gray
Gray Gray Gray Gray Gray Gray Red Gray Gray Gray
Gray Gray Gray Gray Gray Black Gray Gray Gray Gray

Output:
Gray Red Black Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Black Gray Black Black Gray Gray
Gray Gray Gray Gray Gray Yellow Yellow Gray Yellow Yellow
Yellow Yellow Gray Gray Gray Yellow Yellow Black Yellow Yellow
Yellow Yellow Gray Gray Gray Gray Black Gray Gray Gray
Gray Gray Gray Black Gray Black Gray Gray Gray Gray
Gray Black Black Gray Gray Gray Black Gray Gray Gray
Gray Gray Gray Gray Black Gray Yellow Yellow Gray Gray
Gray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray
Gray Gray Gray Gray Gray Black Gray Gray Gray Gray


Here is the input grid for the test example:
Input:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Purple Black Purple Black 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 Black Purple Purple Purple Purple Red Purple
Purple Purple Purple Purple Purple Purple Purple Black Purple Purple
Purple Purple Purple Red Black Purple Purple Black Purple Purple
Purple Black Purple Black Black Purple Purple Purple Purple Black
Purple Black Purple Purple Purple Purple Purple Purple Red Purple
Purple Purple Black Purple Purple Purple Purple Purple Purple 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:

```
Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Black Purple Black Purple Purple Black Purple Purple
Black Purple Purple Black Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow
Purple Purple Purple Black Purple Purple Purple Purple Yellow Yellow
Purple Purple Purple Yellow Yellow Purple Purple Black Purple Purple
Purple Purple Purple Yellow Yellow Purple Purple Black Purple Purple
Purple Black Purple Black Black Purple Purple Purple Yellow Yellow
Purple Black Purple Purple Purple Purple Purple Purple Yellow Yellow
Purple Purple Black Purple Purple Purple Purple Purple Purple Black
```
assistant