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 Black Black Black Black Black Black Black Black Black Black Black
Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black
Black Black Gray Orange Orange Orange Orange Gray Black Black Black Black Black
Black Black Gray Orange Orange Orange Orange Gray Black Black Black Black Black
Black Black Gray Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Gray
Gray Brown Brown Brown Brown Gray Black Gray Brown Brown Brown Brown Gray
Gray Brown Brown Brown Brown Gray Black Gray Brown Brown Brown Brown Gray
Gray Brown Brown Brown Brown Gray Black Gray Brown Brown Brown Brown Gray
Gray Brown Brown Brown Brown Gray Black Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black 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 Black
Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black
Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black
Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black
Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Orange
Orange Brown Brown Brown Brown Orange Black Orange Brown Brown Brown Brown Orange
Orange Brown Brown Brown Brown Orange Black Orange Brown Brown Brown Brown Orange
Orange Brown Brown Brown Brown Orange Black Orange Brown Brown Brown Brown Orange
Orange Brown Brown Brown Brown Orange Black Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black


Example 2
Input:
Black Gray Gray Gray Gray Gray Black Black Black Black Black Black
Black Gray Purple Purple Purple Gray Black Black Black Black Black Black
Black Gray Purple Purple Purple Gray Black Black Black Black Black Black
Black Gray Purple Purple Purple Gray Black Black Black Black Black Black
Black Gray Purple Purple Purple Gray Black Black Black Black Black Black
Black Gray Gray Gray Gray Gray Black Black Black Black Black Black
Black Gray Gray Gray Gray Gray Black Black Black Black Black Black
Black Gray Green Green Green Gray Black Black Black Black Black Black
Black Gray Green Black Green Gray Black Black Black Black Black Black
Black Gray Green Black Green Gray Black Black Black Black Black Black
Black Gray Green Green Green Gray Black Black Black Black Black Black
Black Gray Gray Gray Gray Gray Black Black Black Black Black Black

Output:
Black Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Purple Green Green Green Purple Black Black Black Black Black Black
Black Purple Green Black Green Purple Black Black Black Black Black Black
Black Purple Green Black Green Purple Black Black Black Black Black Black
Black Purple Green Green Green Purple Black Black Black Black Black Black
Black Purple Purple Purple Purple Purple Black Black Black Black Black Black


Example 3
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 Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black
Gray Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black
Gray Black Black Gray Gray Black Black Black Gray Orange Orange Orange Gray Black
Gray Gray Gray Gray Gray Black Black Black Gray Orange Orange Orange Gray Black
Gray Gray Gray Gray Gray Black Black Black Gray Orange Orange Orange Gray Black
Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray 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 Black Black Black Black
Black Black Black Black Black Black Black Black Black Black 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 Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black
Gray Black Gray Gray Gray Black Black Black Orange Orange Orange Orange Orange Black
Gray Black Black Gray Gray Black Black Black Orange Orange Orange Orange Orange Black
Gray Gray Gray Gray Gray Black Black Black Orange Orange Orange Orange Orange Black
Gray Gray Gray Gray Gray Black Black Black Orange Orange Orange Orange Orange Black
Gray Gray Gray Gray Gray Black Black Black Orange Orange Orange 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 Black Black Black Black Black Black
Black Black Black Black 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 Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black
Black Gray Red Red Gray Black Black Black Black Black Black Black Black Black
Black Gray Black Red Gray Black Black Black Black Black Black Black Black Black
Black Gray Red Red Gray Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Black Black Black
Black Gray Gray Gray Gray Black Gray Purple Purple Purple Gray Black Black Black
Black Gray Purple Purple Gray Black Gray Black Purple Purple Gray Black Black Black
Black Gray Purple Purple Gray Black Gray Black Purple Purple Gray Black Black Black
Black Gray Purple Purple Gray Black Gray Purple Purple Purple Gray Black Black Black
Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray 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 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:

```
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 Black Black Black
Black Red Red Red Red Black Black Black Black Black Black Black Black Black
Black Red Red Red Red Black Black Black Black Black Black Black Black Black
Black Red Black Red Red Black Black Black Black Black Black Black Black Black
Black Red Red Red Red Black Black Black Black Black Black Black Black Black
Black Red Red Red Red Black Purple Purple Purple Purple Purple Black Black Black
Black Red Red Red Red Black Purple Purple Purple Purple Purple Black Black Black
Black Red Purple Purple Red Black Purple Black Purple Purple Purple Black Black Black
Black Red Purple Purple Red Black Purple Black Purple Purple Purple Black Black Black
Black Red Purple Purple Red Black Purple Purple Purple Purple Purple Black Black Black
Black Red Red Red Red Black Purple Purple Purple Purple Purple 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 Black Black Black Black Black Black
```
assistant