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

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


Example 2
Input:
Black Red 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 Purple Black Black Black Black Black Black Black Black Black Black Black Black
Red Black Purple Black Black Black Purple Black Black Black Black Black Purple Black
Black Black Black Purple Black Purple Black Black Black Black Black Purple Black Black
Black Black Black Black Purple Purple Black Red Black Red Purple Black Black Black
Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Purple Purple Black Black Purple Black Purple Purple Black Black Black Black
Black Purple Purple Black Black Purple Black Purple Black Purple Red Black Black Black
Purple Purple Black Black Black Purple Purple Black Purple Purple Black Black Black Black
Black Black Black Black Black Purple Purple Purple Black Purple Black Black Black Black
Black Black Black Black Red Black Black Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Purple Black Red
Black Black Black Black Black Black Black Black Black Purple Black Black Black Black

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


Example 3
Input:
Black Black Black Black Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black Purple Black
Black Black Black Black Black Red Purple Black Black Black Red Purple Black Black
Black Black Black Black Black Purple Black Black Purple Black Purple Black Black Black
Black Black Black Black Purple Black Black Purple Black Purple Red Black Black Black
Black Black Black Purple Black Black Purple Black Purple Black Black Black Purple Black
Black Black Purple Black Black Purple Black Purple Black Black Black Purple Black Black
Black Black Purple Black Purple Black Purple Black Black Black Purple Black Black Black
Black Black Purple Purple Black Black Black Black Black Purple Black Black Black Black
Black Black Purple Black Black Black Black Black Purple Red Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black Black Red
Black Black Black Black Red Black Black Black Black Black Black Black Black Red

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


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

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