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 Yellow Black Black Black Green Green Black Green Black Black
Green Black Black Green Yellow Black Yellow Black Green Yellow Green Green
Green Yellow Black Black Yellow Black Black Black Green Yellow Black Black
Black Black Green Black Black Green Yellow Green Black Green Yellow Black
Green Yellow Black Green Yellow Black Black Black Black Green Black Green
Yellow Yellow Yellow Black Black Black Yellow Green Black Yellow Yellow Black
Black Black Black Yellow Yellow Black Green Green Black Yellow Green Black
Green Yellow Black Black Black Yellow Black Black Yellow Black Yellow Black

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


Example 2
Input:
Black Black Yellow Black Green Green Yellow Black Black Black
Black Green Yellow Yellow Green Green Black Green Yellow Black
Black Black Black Yellow Black Green Green Black Black Black
Yellow Black Black Green Black Black Green Black Green Black
Yellow Yellow Yellow Black Green Black Green Green Black Black
Black Black Black Black Black Yellow Black Yellow Black Black
Black Black Green Black Green Green Green Black Yellow Yellow

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


Example 3
Input:
Black Green Yellow Green Green Yellow Yellow Green Black Black Green
Black Black Black Black Yellow Green Green Green Black Black Black
Black Yellow Black Yellow Yellow Black Yellow Green Black Black Black
Black Green Green Yellow Black Black Green Black Black Black Black
Black Yellow Black Yellow Black Black Black Black Yellow Black Green
Yellow Green Black Yellow Green Black Black Green Yellow Yellow Black
Black Green Black Black Black Black Green Yellow Black Black Green

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


Here is the input grid for the test example:
Input:
Yellow Black Black Green Black Green Yellow Yellow Black
Green Green Yellow Yellow Black Green Black Green Yellow
Black Yellow Yellow Green Yellow Black Yellow Black Yellow
Black Yellow Black Black Yellow Black Black Green Black
Black Yellow Black Yellow Black Yellow Yellow Green Yellow
Black Black Green Black Green Black Black Black Black
Black Black Yellow Green Black Green Black Green Yellow
Black Yellow Black Green Green Black Green Black Yellow
Yellow Black Black Black Black Yellow Black Yellow 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 Black Purple Black Black Black Black Purple
Purple Black Brown Black Brown Brown Black Purple Black
Purple Brown Black Brown Black Brown Purple Black Black
Black Black Black Black Brown Black Brown Black Black
Purple Brown Purple Purple Black Purple Black Purple Black
Black Brown Black Black Purple Black Black Purple Black
Purple Black Purple Black Purple Brown Purple Purple Black
Purple Brown Black Brown Black Purple Purple Brown Brown
Black Purple Purple Brown Black Brown Black Black Purple
```
assistant