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

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


Example 2
Input:
Gray Gray Black Gray Gray Gray Gray Gray Red Black Gray Gray Black Gray Gray Gray Gray Gray Gray Gray
Gray Black Gray Gray Gray Gray Black Red Gray Red Gray Gray Gray Gray Gray Gray Gray Black Gray Gray
Gray Gray Gray Gray Gray Black Black Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray Gray Black Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Red Gray Black Black
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Black Gray Red Gray Red Gray Gray
Gray Gray Black Black Gray Gray Gray Black Gray Gray Gray Gray Black Gray Red Black Red Black Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Red Black Gray Gray Gray
Gray Gray Gray Gray Black Gray Gray Gray Gray Red Gray Gray Black Gray Red Gray Black Gray Gray Gray
Black Gray Gray Black Gray Gray Gray Gray Red Black Red Gray Black Black Gray Gray Gray Black Gray Gray
Black Gray Gray Black Gray Black Gray Gray Gray Red Gray Gray Gray Gray Gray Gray Black Gray Gray Gray
Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray
Gray Gray Black Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Black Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Black
Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Black Black Gray Gray Gray
Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Black Gray Black Gray Gray Gray Gray Black Gray
Gray Black Gray Black Black Gray Gray Gray Black Black Gray Black Gray Gray Gray Black Gray Gray Gray Gray
Gray Gray Black Gray Black Gray Gray Gray Black Black Gray Gray Black Gray Gray Gray Black Gray Black Gray

Output:
Gray Gray Black Gray Gray Gray Gray Gray Green Black Gray Gray Black Gray Gray Gray Gray Gray Gray Gray
Gray Black Gray Gray Gray Gray Black Green Gray Green Gray Gray Gray Gray Gray Gray Gray Black Gray Gray
Gray Gray Gray Gray Gray Black Black Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray Gray Black Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Green Gray Black Black
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Black Gray Green Gray Green Gray Gray
Gray Gray Black Black Gray Gray Gray Black Gray Gray Gray Gray Black Gray Green Black Green Black Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Green Black Gray Gray Gray
Gray Gray Gray Gray Black Gray Gray Gray Gray Green Gray Gray Black Gray Green Gray Black Gray Gray Gray
Black Gray Gray Black Gray Gray Gray Gray Green Black Green Gray Black Black Gray Gray Gray Black Gray Gray
Black Gray Gray Black Gray Black Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Black Gray Gray Gray
Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray
Gray Gray Black Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Black Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Black
Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Black Black Gray Gray Gray
Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Black Gray Black Gray Gray Gray Gray Black Gray
Gray Black Gray Black Black Gray Gray Gray Black Black Gray Black Gray Gray Gray Black Gray Gray Gray Gray
Gray Gray Black Gray Black Gray Gray Gray Black Black Gray Gray Black Gray Gray Gray Black Gray Black Gray


Example 3
Input:
Black Black Gray Gray Gray Black Gray Gray Gray Black Gray Black Gray Gray Gray Gray Gray Gray Black Black
Black Gray Black Black Gray Gray Gray Gray Gray Gray Gray Black Gray Black Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray
Gray Gray Black Gray Gray Gray Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Gray Gray
Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Red Gray Gray Black Gray Gray Gray Gray
Gray Black Black Gray Gray Gray Black Gray Black Gray Gray Red Black Red Black Black Black Gray Gray Gray
Black Gray Gray Gray Gray Black Gray Gray Gray Gray Red Gray Red Black Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Black Black Gray Gray Gray Red Black Red Black Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Black Gray Gray Gray Black Black Red Black Gray Gray Gray Gray Black Black Gray Gray
Gray Black Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray
Black Gray Gray Black Black Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray
Black Gray Gray Black Black Gray Gray Gray 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 Black Gray Gray Gray Black Black
Black Gray Red Gray Black Gray Black Gray Gray Black Gray Gray Black Gray Gray Gray Gray Gray Gray Gray
Gray Red Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Gray Gray
Gray Gray Red Gray Gray Gray Black Gray Gray Gray Gray Red Gray Red Gray Gray Gray Black Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Red Gray Gray Gray Gray Gray Gray Gray

Output:
Black Black Gray Gray Gray Black Gray Gray Gray Black Gray Black Gray Gray Gray Gray Gray Gray Black Black
Black Gray Black Black Gray Gray Gray Gray Gray Gray Gray Black Gray Black Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray
Gray Gray Black Gray Gray Gray Black Gray Gray Black Black Gray Gray Gray Gray Gray Gray Black Gray Gray
Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Green Gray Gray Black Gray Gray Gray Gray
Gray Black Black Gray Gray Gray Black Gray Black Gray Gray Green Black Green Black Black Black Gray Gray Gray
Black Gray Gray Gray Gray Black Gray Gray Gray Gray Green Gray Green Black Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Black Black Gray Gray Gray Green Black Green Black Gray Gray Gray Gray Gray Gray Gray
Black Gray Gray Gray Black Gray Gray Gray Black Black Green Black Gray Gray Gray Gray Black Black Gray Gray
Gray Black Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray
Black Gray Gray Black Black Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray
Black Gray Gray Black Black Gray Gray Gray 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 Black Gray Gray Gray Black Black
Black Gray Green Gray Black Gray Black Gray Gray Black Gray Gray Black Gray Gray Gray Gray Gray Gray Gray
Gray Green Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray
Gray Gray Green Gray Gray Gray Black Gray Gray Gray Gray Green Gray Green Gray Gray Gray Black Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Green Gray Gray Gray Gray Gray Gray Gray


Here is the input grid for the test example:
Input:
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Black Black
Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Black Black Orange Orange Orange
Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Black Orange Black Black Orange Red Black Black Orange
Orange Orange Orange Orange Orange Orange Black Orange Red Orange Orange Orange Orange Orange Orange Red Orange Red Orange Black
Orange Black Orange Orange Orange Orange Orange Red Orange Red Orange Black Black Black Orange Orange Red Orange Orange Orange
Orange Orange Orange Black Black Orange Orange Orange Red Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange
Orange Black Orange Black Black Black Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black
Orange Orange Orange Orange Black Orange Orange Black Orange Black Orange Black Orange Black Orange Orange Black Orange Orange Orange
Black Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black Orange
Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Red Orange Black Red Orange Orange Orange
Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Red Orange Red Red Orange Red Orange Orange
Orange Black Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Red Orange Black Red Orange Orange Black
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 Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Black Orange Orange
Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange
Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange
Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange
Black Black Orange Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange Black Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Black Black Orange
Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange


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:

```
Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Black Black
Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Black Black Orange Orange Orange
Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Black Orange Black Black Orange Green Black Black Orange
Orange Orange Orange Orange Orange Orange Black Orange Green Orange Orange Orange Orange Orange Orange Green Orange Green Orange Black
Orange Black Orange Orange Orange Orange Orange Green Orange Green Orange Black Black Black Orange Orange Green Orange Orange Orange
Orange Orange Orange Black Black Orange Orange Orange Green Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange
Orange Black Orange Black Black Black Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black
Orange Orange Orange Orange Black Orange Orange Black Orange Black Orange Black Orange Black Orange Orange Black Orange Orange Orange
Black Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black Orange
Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Green Orange Black Green Orange Orange Orange
Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Green Orange Green Green Orange Green Orange Orange
Orange Black Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Green Orange Black Green Orange Orange Black
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 Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Black Orange Orange
Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange
Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange
Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange
Black Black Orange Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange Black Orange Orange Orange Orange Orange
Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Black Black Orange
Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange
```
assistant