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 Black Black Black Black Gray Gray Black Black Black Black Black
Black 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 Black Black Black Black Gray Gray Black Black Black Black Black
Black Black Black Black Black Black Gray Black Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Gray Black Black Black Black
Black Black Black Black Black Black Black Black Gray Black Black Black Black
Black Black Black Black Black Black Black Black Gray Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Yellow Yellow Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow


Example 2
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 Black Black Black Black
Gray Gray Gray Gray Black Gray Gray Gray Black Black Black Black
Gray Gray Gray Gray Black Gray Gray Gray Black Black Black Black
Gray Gray Gray Gray Black Black Black Black Black Black Black Black
Gray Gray Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Gray Black Black Black Black Black Black Black Black Black
Gray Gray Gray Black Black Black Black Black Black Black Black Black
Gray Gray Gray Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black

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


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

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


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