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 Green Green Green Black Black Yellow Yellow Yellow
Black Black Green Green Green Black Black Yellow Yellow Yellow
Black Black Green Green Green Black Black Yellow Yellow 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 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

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


Example 2
Input:
Black Black Black Black Black Orange Orange Orange Black Black
Black Black Black Black Black Orange Orange Orange Black Black
Black Black Black Black Black Orange Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Red Red Red Black Black
Black Black Black Black Black Red Red Red Black Black
Black Black Black Black Black Red Red 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

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


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

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


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