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 Red Red Black Red Black Black Red Black Red
Black Black Black Black Orange Orange Black Brown Brown Black
Red Red Black Red Orange Orange Red Brown Brown Red
Red Black Black Black Black Red Black Red Red Red
Red Black Red Black Black Black Red Black Black Black
Black Black Black Yellow Yellow Black Black Yellow Yellow Black
Red Black Red Yellow Yellow Gray Gray Yellow Yellow Red
Red Black Black Black Black Gray Gray Red Black Black
Red Black Black Red Black Red Black Black Black Red
Black Black Black Black Red Red Black Red Black Black

Output:
Black Red Red Black Red Black Black Red Black Red
Black Black Black Black Orange Orange Black Brown Brown Black
Yellow Yellow Black Red Orange Orange Red Brown Brown Red
Yellow Black Black Black Black Red Black Red Red Red
Yellow Black Red Black Black Black Red Black Black Black
Black Black Black Yellow Yellow Black Black Yellow Yellow Black
Red Black Red Yellow Yellow Gray Gray Yellow Yellow Red
Red Black Black Black Black Gray Gray Red Black Black
Red Black Black Red Black Red Black Black Black Red
Black Black Black Black Red Red Black Red Black Black


Example 2
Input:
Black Purple Purple Purple Black Purple Black Pink Pink Purple
Purple Black Black Black Black Black Black Pink Pink Purple
Black Black Black Purple Black Black Green Green Black Black
Black Purple Purple Black Black Purple Green Green Black Purple
Black Black Black Black Purple Black Purple Black Purple Black
Black Black Purple Purple Purple Purple Black Black Purple Purple
Black Purple Black Black Black Black Black Purple Black Black
Black Black Black Black Purple Black Black Purple Black Black
Black Pink Pink Black Purple Brown Brown Purple Black Purple
Black Pink Pink Black Purple Brown Brown Black Black Purple

Output:
Black Purple Purple Purple Black Purple Black Pink Pink Purple
Purple Black Black Black Black Black Black Pink Pink Purple
Black Black Black Purple Black Black Green Green Black Black
Black Purple Purple Black Black Purple Green Green Black Purple
Black Black Black Black Purple Black Purple Black Purple Black
Black Black Purple Purple Purple Purple Black Black Purple Purple
Black Purple Black Black Black Black Black Purple Black Black
Black Black Black Black Purple Black Black Purple Black Black
Black Yellow Yellow Black Purple Brown Brown Purple Black Purple
Black Yellow Yellow Black Purple Brown Brown Black Black Purple


Example 3
Input:
Purple Black Purple Purple Black Black Black Black Purple Purple
Black Black Purple Black Black Black Black Black Black Purple
Black Yellow Yellow Black Black Black Purple Black Black Black
Black Yellow Yellow Black Purple Purple Black Black Black Black
Black Black Purple Black Purple Purple Black Yellow Yellow Black
Black Purple Purple Purple Black Black Black Yellow Yellow Purple
Red Red Purple Black Gray Gray Purple Black Black Purple
Red Red Black Black Gray Gray Purple Black Black Purple
Black Black Purple Black Purple Black Purple Black Purple Black
Black Black Purple Black Purple Black Black Purple Purple Black

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


Here is the input grid for the test example:
Input:
Black Black Purple Black Black Purple Blue Blue Black Purple
Black Black Black Black Purple Purple Blue Blue Purple Black
Black Black Purple Black Purple Black Purple Purple Black Black
Black Black Black Purple Yellow Yellow Purple Purple Purple Black
Purple Black Black Black Yellow Yellow Purple Purple Purple Purple
Black Purple Black Black Purple Black Black Black Purple Black
Black Purple Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black
Pink Pink Black Purple Black Black Purple Black Black Black
Pink Pink Black Purple Purple Black Purple Purple Purple Purple


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 Purple Black Black Purple Blue Blue Black Purple
Black Black Black Black Purple Purple Blue Blue Purple Black
Black Black Purple Black Purple Black Purple Purple Black Black
Black Black Black Purple Yellow Yellow Purple Purple Purple Black
Purple Black Black Black Yellow Yellow Purple Purple Purple Purple
Black Purple Black Black Purple Black Black Black Purple Black
Black Purple Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black
Yellow Yellow Black Purple Black Black Purple Black Black Black
Yellow Yellow Black Purple Purple Black Purple Purple Purple Purple
```
assistant