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 Black Black Black Black Purple Purple Black Purple Purple Black Black Yellow Black Purple Black
Black Red Black Black Purple Gray Black Black Black Black Black Black Purple Yellow Black Purple Purple
Purple Red Purple Gray Gray Gray Purple Black Black Gray Gray Gray Black Yellow Purple Gray Gray
Purple Red Gray Black Purple Purple Purple Black Purple Black Gray Black Black Yellow Gray Black Purple
Brown Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Brown Brown Brown
Gray Red Gray Black Black Purple Black Purple Gray Black Purple Gray Gray Yellow Gray Black Gray
Gray Red Gray Gray Gray Black Purple Purple Black Black Gray Purple Black Yellow Purple Black Purple
Black Red Purple Black Purple Black Black Purple Purple Black Gray Gray Black Yellow Purple Black Gray
Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Gray Gray Gray
Purple Red Black Black Gray Black Gray Purple Purple Black Gray Black Black Yellow Black Purple Purple
Black Red Black Black Purple Purple Gray Gray Black Black Black Black Black Yellow Black Purple Gray
Black Red Black Purple Purple Gray Gray Gray Black Black Purple Black Purple Yellow Black Black Black
Black Red Black Gray Black Black Black Black Black Gray Black Black Black Yellow Purple Black Black

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


Example 2
Input:
Black Black Black Brown Black Black Black Purple Black Black Black Gray Black Orange Purple
Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Purple
Black Purple Black Brown Gray Black Black Purple Gray Black Purple Black Gray Orange Purple
Gray Purple Black Brown Purple Gray Purple Black Black Purple Purple Black Gray Orange Black
Gray Purple Purple Brown Gray Black Purple Purple Black Black Black Gray Black Orange Gray
Black Gray Black Brown Black Black Black Black Black Gray Gray Gray Gray Orange Gray
Purple Gray Black Brown Black Gray Black Black Purple Black Black Black Black Orange Black
Black Purple Gray Brown Black Black Black Gray Purple Black Black Black Black Orange Gray
Yellow Yellow Yellow Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Yellow
Gray Black Black Brown Gray Purple Black Gray Black Black Black Gray Gray Orange Gray
Gray Black Black Brown Gray Black Black Purple Black Gray Gray Purple Black Orange Black
Black Gray Black Brown Gray Gray Black Purple Purple Black Gray Black Black Orange Gray

Output:
Black Black Black Brown Black Black Black Purple Black Black Black Gray Black Orange Purple
Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple Purple Gray Purple Orange Purple
Black Purple Black Brown Gray Black Black Purple Gray Black Purple Black Gray Orange Purple
Gray Gray Gray Gray Purple Gray Purple Black Black Purple Purple Black Gray Orange Black
Gray Gray Gray Gray Gray Black Purple Purple Black Black Black Gray Black Gray Gray
Black Gray Gray Gray Black Black Black Black Black Gray Gray Gray Gray Gray Gray
Purple Gray Gray Gray Black Gray Black Black Purple Black Black Black Black Orange Black
Black Purple Gray Gray Black Black Black Gray Purple Black Black Black Black Gray Gray
Gray Gray Gray Gray Gray Gray Yellow Gray Yellow Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Black Gray Black Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Black Purple Black Gray Gray Purple Black Gray Gray
Black Gray Gray Gray Gray Gray Black Purple Purple Black Gray Black Black Gray Gray


Example 3
Input:
Gray Black Gray Blue Black Black Orange Orange Black Black Orange Purple Black Black Black Black
Gray Black Black Blue Black Black Black Black Orange Black Gray Purple Gray Orange Gray Gray
Black Orange Black Blue Black Black Black Orange Gray Orange Gray Purple Orange Black Black Orange
Gray Black Black Blue Gray Black Black Black Gray Black Black Purple Black Orange Black Black
Orange Orange Orange Blue Orange Orange Orange Orange Orange Orange Orange Purple Orange Orange Orange Orange
Black Orange Black Blue Orange Orange Gray Black Orange Gray Black Purple Gray Gray Black Gray
Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Yellow Yellow Yellow Yellow
Orange Black Black Blue Black Gray Gray Black Gray Black Gray Purple Gray Black Orange Black
Black Black Black Blue Black Black Gray Orange Gray Black Orange Purple Gray Orange Gray Black
Gray Gray Gray Blue Black Orange Black Black Gray Black Black Purple Black Gray Black Black
Gray Black Gray Blue Black Gray Black Orange Gray Black Black Purple Black Gray Black Black
Black Black Black Blue Orange Gray Gray Black Gray Orange Black Purple Orange Orange Black Orange

Output:
Gray Black Gray Blue Black Black Orange Orange Black Black Orange Purple Black Black Black Black
Gray Black Black Blue Black Black Orange Orange Orange Black Orange Orange Orange Orange Gray Gray
Black Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Gray Orange Black Blue Gray Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Black Orange Orange Orange Orange Orange Gray Black Orange Gray Black Purple Gray Gray Black Gray
Orange Orange Orange Orange Orange Orange Yellow Orange Yellow Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Gray Orange Gray Orange Orange Orange Orange Orange Orange Orange
Black Black Black Blue Orange Orange Gray Orange Gray Orange Orange Orange Orange Orange Orange Orange
Gray Gray Gray Blue Orange Orange Black Orange Gray Orange Black Orange Orange Orange Orange Orange
Gray Black Gray Blue Orange Gray Black Orange Gray Orange Black Orange Orange Orange Orange Orange
Black Black Black Blue Orange Gray Gray Black Gray Orange Black Orange Orange Orange Orange Orange


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