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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black
Gray Brown Purple Gray Pink Orange Brown Black Black Black Black Gray
Gray Green Green Orange Orange Brown Orange Black Black Black Black Gray
Gray Gray Orange Blue Pink Gray Purple Black Black Black Black Gray
Gray Orange Yellow Purple Red Orange Orange Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Black Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black

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


Example 2
Input:
Black Gray Gray Gray Gray Gray Gray Gray Gray Black
Gray Yellow Blue Red Black Black Black Black Black Gray
Gray Green Pink Blue Black Black Black Black Black Gray
Gray Gray Red Orange Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Black

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


Example 3
Input:
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black
Gray Yellow Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Black Black Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black

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


Here is the input grid for the test example:
Input:
Black Gray Gray Gray Gray Gray Gray Gray Black
Gray Gray Green Pink Brown Gray Brown Black Gray
Gray Blue Pink Gray Pink Gray Pink Black Gray
Gray Brown Brown Orange Pink Pink Pink Black Gray
Gray Purple Brown Yellow Blue Orange Orange Black Gray
Gray Pink Gray Blue Red Pink Brown Black Gray
Gray Red Purple Orange Blue Orange Yellow Black Gray
Gray Black Black Black Black Black Black Black Gray
Black Gray Gray Gray Gray Gray Gray Gray 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 Purple Purple Purple Purple Purple Purple Purple Black
Purple Purple Purple Purple Purple Purple Purple Black Purple
Purple Purple Purple Purple Purple Purple Purple Black Purple
Purple Purple Purple Purple Purple Purple Purple Black Purple
Purple Purple Purple Purple Purple Purple Purple Black Purple
Purple Purple Purple Purple Purple Purple Purple Black Purple
Purple Purple Purple Purple Purple Purple Purple Black Purple
Purple Black Black Black Black Black Black Black Purple
Black Purple Purple Purple Purple Purple Purple Purple Black
```
assistant