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 Black Purple Black Black Black Black Black Purple Black Purple Purple Purple
Purple Purple Purple Purple Purple Black Black Black Black 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 Black Purple Purple Purple Purple Purple Purple Purple
Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple
Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple Purple Purple Purple
Purple Black Black Purple Purple Pink Black Pink Black Pink Purple Purple Black Black Purple
Purple Purple Black Purple Purple Pink Black Pink Black Pink Purple Purple Black Purple Purple
Purple Purple Purple Purple Purple Black Pink Pink Pink Black Purple Purple Purple Purple Purple
Black Black Purple Purple Purple Black Black Black Black Black Purple Purple Purple Black Black
Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple
Purple Purple Black Purple Purple Purple Purple Black Purple Purple Purple Purple Black Purple Purple

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


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

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


Example 3
Input:
Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple
Purple Purple Purple Black Purple Purple Purple Black Purple Purple Purple
Black Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Black Purple Purple Yellow Purple Purple Black Black Black
Black Black Black Purple Purple Yellow Purple Purple Black Black Black
Black Black Purple Purple Yellow Purple Yellow Purple Purple Black Black
Black Black Purple Purple Purple Yellow Purple Purple Purple Black Black
Black Black Purple Purple Purple Yellow Purple Purple Purple Black Black
Black Black Purple Purple Black Purple Black Purple Purple Black Black
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Black Black Purple Purple Purple Purple Purple Black Black Black

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


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