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 Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Black
Black Black Black Black Black Purple Purple Purple Purple Black
Black Black Black Black Black Purple Purple Purple Purple Black
Black Black Brown Brown Brown Purple Purple Purple Purple Black
Purple Purple Brown Brown Brown Black Black Black Black Black
Purple Purple Brown Brown Brown Black Pink Pink Pink Pink
Black Black Black Black Black Black Pink Pink Pink Pink
Black Black Black Black Black Black Pink Pink Pink Pink
Black Black Black Black Black Black Pink Pink Pink Pink

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


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

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


Example 3
Input:
Black Black Red Red Red Black Black Black Black Black
Black Black Red Red Red Black Green Green Black Black
Black Black Red Red Red Black Green Green Orange Black
Black Brown Brown Brown Brown Brown Black Black Black Black
Black Brown Brown Brown Brown Brown Black Black Black Black
Black Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow
Black Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow
Black Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black

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


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