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 Red Black Black Black Black Black
Black Black Black Black Red Red Red Black Black Black Black
Black Black Black Red Red Brown Red Red Black Black Black
Black Black Red Red Brown Brown Brown Red Red Black Black
Black Black Black Red Red Brown Red Red Black Black Black
Black Black Black Black Red Red Red Black Black Black Black
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

Output:
Red Black Black Black Black Brown Black Black Black Black Red
Black Red Black Black Black Brown Black Black Black Red Black
Black Black Red Black Black Brown Black Black Red Black Black
Black Black Black Red Red Brown Red Red Black Black Black
Black Black Black Red Red Brown Red Red Black Black Black
Red Red Red Red Red Red Red Red Red Red Red
Black Black Black Red Red Red Red Red Black Black Black
Black Black Black Red Red Red Red Red Black Black Black
Black Black Red Black Black Red Black Black Red Black Black
Black Red Black Black Black Red Black Black Black Red Black
Red Black Black Black Black Red Black Black Black Black Red


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 Gray Black Black Black Black Black
Black Black Black Black Gray Yellow Gray Black Black Black Black
Black Black Black Gray Yellow Yellow Yellow Gray Black Black Black
Black Black Gray Yellow Yellow Yellow Yellow Yellow Gray Black Black
Black Black Black Gray Yellow Yellow Yellow Gray Black Black Black
Black Black Black Black Gray Yellow Gray 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

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


Example 3
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 Yellow Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Black Black Black Black
Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black
Black Black Black Black Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Yellow 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

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


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 Purple Black Black Black Black Black
Black Black Black Black Purple Purple Purple Black Black Black Black
Black Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Black Black
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Black Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Purple Purple Purple Black Black Black Black
Black Black Black Black Black Purple 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:

```
Purple Black Black Black Black Purple Black Black Black Black Purple
Black Purple Black Black Black Purple Black Black Black Purple Black
Black Black Purple Black Purple Purple Purple Black Purple Black Black
Black Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Purple Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Purple Purple Purple Purple Purple Black Black Black
Black Black Purple Black Purple Purple Purple Black Purple Black Black
Black Purple Black Black Black Purple Black Black Black Purple Black
Purple Black Black Black Black Purple Black Black Black Black Purple
```
assistant