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 Black Black Black Black Black Black Gray Black Black
Black Black Black Black Black Black Black Black Black Gray
Black Black Gray Black Black Black Gray Gray Black Black
Black Black Black Gray Gray Black Black Gray Black Black
Black Black Black Black Black Gray Black Black Gray Black
Black Black Gray Gray Gray Gray Gray Gray Black Black
Black Black Gray Gray Gray Gray Gray Gray Gray Black
Black Black Gray Gray Gray Gray Gray Black Black Black
Black Black Gray Black Black Black Gray Gray Black Gray
Gray Black Gray Black Black Black Gray Black Black Black

Output:
Black Black Black Black Black Black Black Gray Black Black
Black Black Black Black Black Black Black Black Black Gray
Black Black Gray Black Black Black Blue Blue Black Black
Black Black Black Green Green Black Black Blue Black Black
Black Black Black Black Black Gray Black Black Gray Black
Black Black Gray Gray Gray Gray Gray Gray Black Black
Black Black Gray Gray Gray Gray Gray Gray Gray Black
Black Black Gray Gray Gray Gray Gray Black Black Black
Black Black Gray Black Black Black Gray Gray Black Gray
Gray Black Gray Black Black Black Gray Black Black Black


Example 2
Input:
Black Black Black Black Black Black Gray Purple Black Black
Black Black Gray Gray Gray Black Gray Purple Purple Black
Purple Purple Gray Gray Gray Black Black Black Black Black
Gray Black Gray Gray Gray Black Gray Purple Black Purple
Black Black Gray Gray Gray Purple Purple Purple Gray Black
Black Purple Black Purple Black Black Gray Black Black Black
Gray Gray Gray Gray Black Black Black Black Purple Black
Gray Gray Gray Gray Black Black Purple Gray Gray Black
Black Black Black Black Purple Gray Black Gray Black Black
Gray Black Black Gray Purple Purple Black Purple Gray Black

Output:
Black Black Black Black Black Black Green Purple Black Black
Black Black Gray Gray Gray Black Green Purple Purple Black
Purple Purple Gray Gray Gray Black Black Black Black Black
Gray Black Gray Gray Gray Black Gray Purple Black Purple
Black Black Gray Gray Gray Purple Purple Purple Gray Black
Black Purple Black Purple Black Black Gray Black Black Black
Gray Gray Gray Gray Black Black Black Black Purple Black
Gray Gray Gray Gray Black Black Purple Red Red Black
Black Black Black Black Purple Green Black Red Black Black
Gray Black Black Green Purple Purple Black Purple Red Black


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

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


Here is the input grid for the test example:
Input:
Black Black Black Purple Black Black Brown Black Purple Black
Brown Black Gray Gray Black Black Black Black Black Purple
Purple Black Gray Gray Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Black Brown
Black Black Brown Purple Black Brown Black Purple Black Black
Black Brown Purple Brown Black Purple Purple Black Black Purple
Purple Black Black Purple Black Purple Black Brown Black Purple
Black Brown Brown Purple Black Black Black Black Black Black
Black Gray Gray Gray Gray Black Black Brown Brown Purple
Purple Gray Gray Gray Gray Black Purple Black Black 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 Black Black Purple Black Black Brown Black Purple Black
Brown Black Red Red Black Black Black Black Black Purple
Purple Black Red Red Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Black Brown
Black Black Brown Purple Black Brown Black Purple Black Black
Black Brown Purple Brown Black Purple Purple Black Black Purple
Purple Black Black Purple Black Purple Black Brown Black Purple
Black Brown Brown Purple Black Black Black Black Black Black
Black Gray Gray Gray Gray Black Black Brown Brown Purple
Purple Gray Gray Gray Gray Black Purple Black Black Black
```
assistant