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:
Yellow Black Black Yellow Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Black
Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black
Black Black Black Black Black Black Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Yellow Yellow Black
Black Black Black Black Black Black Black Black Black Black
Black Pink Black Black Pink Black Brown Black Black Black
Black Pink Pink Pink Pink Black Brown Brown Black Black
Black Pink Pink Pink Pink Black Brown Brown Brown Black
Black Pink Black Black Pink Black Black Black Black Black

Output:
Yellow Purple Purple Yellow Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Purple Purple Purple Yellow Yellow Purple
Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Yellow Purple
Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple
Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Pink Purple Purple Pink Purple Brown Purple Purple Purple
Purple Pink Pink Pink Pink Purple Brown Brown Purple Purple
Purple Pink Pink Pink Pink Purple Brown Brown Brown Purple
Purple Pink Purple Purple Pink Purple Purple Purple Purple Purple


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

Output:
Purple Yellow Yellow Yellow Yellow Purple Red Red Purple Purple
Purple Yellow Yellow Yellow Yellow Purple Purple Red Red Purple
Purple Purple Purple Purple Purple Purple Purple Red Red Purple
Purple Purple Purple Purple Purple Purple Red Red Purple Purple
Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple
Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Pink Pink Pink Pink Purple Orange Orange
Purple Purple Purple Pink Pink Pink Pink Purple Orange Orange
Purple Purple Purple Pink Pink Pink Pink Purple Orange Orange
Purple Purple Purple Pink Pink Pink Pink Purple Purple Purple


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

Output:
Purple Green Green Purple Purple Purple Purple Purple Purple Purple
Green Green Green Green Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Red Purple Purple Purple Purple Purple Purple Purple Purple
Red Red Red Purple Purple Purple Purple Purple Yellow Purple
Purple Red Purple Purple Purple Purple Purple Purple Yellow Purple
Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow
Purple Purple Orange Orange Purple Purple Purple Purple Yellow Purple
Purple Purple Orange Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black
Black Black Gray Black Black Black Black Black Black Black
Black Gray Gray Gray Black Black Black Black Black Black
Black Black Gray Black Black Black Black Gray Gray Black
Black Black Black Black Black Black Black Gray Gray Gray
Black Black Black Black Black Black Black Gray Gray Gray
Black Brown Brown Brown Brown Black Black Gray Gray Black
Black Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black 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:

```
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple
Purple Gray Gray Gray Purple Purple Purple Purple Purple Purple
Purple Purple Gray Purple Purple Purple Purple Gray Gray Purple
Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray
Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray
Purple Brown Brown Brown Brown Purple Purple Gray Gray Purple
Purple Brown Brown Brown Brown Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
```
assistant