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 Black Purple Black Purple Black Purple Purple Black Purple Black Black Purple Purple Black Black Black Purple Black Purple
Purple Black Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black
Black Purple Purple Black Black Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Red Red
Purple Black Purple Purple Purple Black Purple Black Purple Purple Purple Purple Purple Purple Purple Black Black Purple Red Red
Black Purple Black Purple Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Black Purple
Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Black Purple Black Purple Purple Purple Black Purple Black
Purple Black Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple
Purple Purple Purple Black Black Black Purple Black Purple Black Purple Purple Black Purple Black Black Red Red Black Black
Purple Purple Purple Purple Purple Purple Black Purple Black Purple Black Black Black Black Purple Purple Red Red Black Black
Purple Purple Purple Black Black Purple Purple Purple Black Purple Black Purple Purple Purple Black Purple Black Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple
Black Purple Purple Black Purple Black Purple Purple Purple Black Black Black Purple Purple Purple Black Purple Black Black Black
Purple Purple Black Black Black Purple Purple Red Red Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple
Purple Purple Purple Black Black Black Black Red Red Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Black
Purple Purple Black Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Black Purple
Black Black Purple Purple Purple Black Black Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Purple Black Purple Black Purple Purple Purple Black Purple Purple Purple Black Purple Black Purple Purple Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Black Black Purple Purple
Purple Purple Purple Black Purple Purple Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Purple Black Purple Black Purple Purple Purple Black Black Purple Purple Black Purple Purple Purple Purple Black Purple

Output:
Purple Black Purple Black Purple Black Purple Purple Black Purple Black Black Purple Purple Black Black Black Purple Black Purple
Purple Black Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black
Black Purple Purple Black Black Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Yellow Yellow
Purple Black Purple Purple Purple Black Purple Black Purple Purple Purple Purple Purple Purple Purple Black Black Purple Yellow Yellow
Black Purple Black Purple Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Black Purple
Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Black Purple Black Purple Purple Purple Black Purple Black
Purple Black Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple
Purple Purple Purple Black Black Black Purple Black Purple Black Purple Purple Black Purple Black Black Yellow Yellow Black Black
Purple Purple Purple Purple Purple Purple Black Purple Black Purple Black Black Black Black Purple Purple Yellow Yellow Black Black
Purple Purple Purple Black Black Purple Purple Purple Black Purple Black Purple Purple Purple Black Purple Black Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Purple
Black Purple Purple Black Purple Black Purple Purple Purple Black Black Black Purple Purple Purple Black Purple Black Black Black
Purple Purple Black Black Black Purple Purple Yellow Yellow Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple
Purple Purple Purple Black Black Black Black Yellow Yellow Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Black
Purple Purple Black Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Black Purple
Black Black Purple Purple Purple Black Black Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Purple Black Purple Black Purple Purple Purple Black Purple Purple Purple Black Purple Black Purple Purple Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Black Black Purple Purple
Purple Purple Purple Black Purple Purple Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Purple Black Purple Black Purple Purple Purple Black Black Purple Purple Black Purple Purple Purple Purple Black Purple


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

Output:
Gray Black Gray Gray Black Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray
Black Black Black Gray Black Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray
Black Gray Black Gray Gray Yellow Yellow Gray Gray Gray Black Black Gray Black Gray Gray Gray Gray Black Gray
Black Gray Gray Black Gray Black Gray Gray Black Black Gray Black Black Gray Gray Black Gray Black Gray Gray
Black Black Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Black Black Black Gray Gray Gray Gray
Gray Gray Black Black Gray Gray Black Gray Black Gray Black Gray Gray Gray Black Gray Black Gray Gray Gray
Black Gray Gray Black Black Gray Black Gray Black Gray Black Black Black Black Gray Gray Gray Gray Gray Black
Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray
Black Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black
Black Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Black
Gray Gray Gray Black Black Gray Gray Gray Gray Gray Black Gray Gray Black Gray Gray Black Gray Gray Gray
Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Black Black Black Gray Black Gray Gray Black Black Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray Black Gray Black Gray Gray
Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Black Black Black Gray Gray Gray
Gray Black Gray Black Black Black Black Black Black Black Black Black Gray Black Gray Gray Gray Gray Gray Black
Black Gray Gray Black Gray Gray Gray Black Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray Black
Gray Black Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Black Gray Gray Gray Black Gray
Black Gray Black Gray Black Gray Gray Gray Gray Black Black Black Gray Gray Black Gray Black Gray Gray Gray


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

Output:
Gray Gray Gray Gray Black Gray Gray Yellow Yellow Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black
Gray Gray Gray Gray Black Gray Black Yellow Yellow Black Black Gray Gray Gray Black Gray Gray Black Gray Black
Gray Black Black Gray Gray Gray Gray Gray Black Gray Gray Black Gray Gray Black Black Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Black Gray Black Gray Gray Black Gray Gray Gray Black Black Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray Black Black Gray Gray Gray Gray Black Gray Gray
Gray Gray Gray Gray Black Gray Black Yellow Yellow Gray Gray Black Gray Gray Gray Gray Gray Black Gray Gray
Gray Black Gray Gray Gray Gray Black Black Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Black Black
Gray Gray Black Black Gray Gray Gray Gray Gray Black Black Black Gray Black Gray Gray Gray Black Gray Gray
Black Gray Black Gray Gray Gray Gray Gray Black Gray Yellow Yellow Black Black Gray Gray Black Gray Black Black
Gray Gray Gray Gray Gray Gray Gray Black Black Black Yellow Yellow Gray Black Black Gray Gray Gray Gray Gray
Black Gray Black Black Gray Gray Gray Black Black Gray Gray Black Gray Gray Black Gray Black Gray Gray Black
Gray Gray Gray Gray Gray Gray Black Gray Black Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Black Gray Gray Black Gray Gray Black Gray Gray Gray Gray Gray Black Black Gray Gray
Gray Black Gray Black Gray Gray Gray Gray Gray Gray Gray Black Black Gray Black Gray Gray Gray Gray Gray
Gray Black Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Black Gray Black
Gray Black Gray Black Gray Black Black Gray Black Black Gray Gray Gray Black Gray Gray Gray Gray Black Gray
Gray Gray Gray Black Gray Black Black Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Black Gray
Gray Gray Gray Black Black Gray Black Gray Gray Gray Gray Black Black Gray Black Gray Gray Black Black Black
Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black
Gray Gray Gray Black Black Black Black Gray Black Gray Black Gray Gray Black Gray Gray Black Black Black Black


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

```
Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Black Orange Orange Black Orange Orange Black
Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Black Orange Black
Orange Black Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Orange
Black Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black Black Black Orange Orange Black Black Black Black
Orange Black Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange
Orange Orange Black Black Orange Black Orange Orange Black Orange Orange Black Orange Orange Orange Orange Orange Black Orange Orange
Orange Orange Black Black Orange Orange Black Orange Orange Black Orange Orange Black Orange Orange Black Orange Black Orange Orange
Black Orange Orange Black Orange Black Orange Orange Black Black Black Orange Black Orange Orange Black Orange Orange Orange Orange
Orange Orange Black Orange Black Orange Black Orange Orange Orange Orange Black Black Orange Black Black Orange Black Black Orange
Orange Black Black Orange Black Orange Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange
Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Black Orange Black Orange Orange Orange Orange Orange Orange Orange
Orange Black Orange Orange Orange Black Orange Orange Orange Orange Black Orange Black Black Orange Orange Orange Orange Orange Black
Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Orange Orange Orange
Orange Orange Orange Black Orange Yellow Yellow Orange Black Black Orange Orange Black Orange Orange Orange Black Orange Black Orange
Orange Black Orange Black Black Yellow Yellow Orange Black Orange Orange Orange Orange Black Orange Orange Orange Black Yellow Yellow
Black Orange Orange Orange Black Orange Black Orange Orange Orange Orange Black Black Black Black Orange Orange Orange Yellow Yellow
Black Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange
Orange Orange Orange Black Orange Black Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange
Orange Orange Black Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Black Orange Orange Black Orange
Black Orange Black Black Black Orange Black Orange Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black Orange
```
assistant