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 Yellow Black Black Yellow Yellow Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black
Black Black Black Yellow Yellow Yellow Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Yellow Black Yellow Black Yellow Black Yellow Black Black Black Black Black
Black Black Black Yellow Black Yellow Yellow Black Yellow Black Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Black Black Black 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 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 Red Red Yellow Black Red Yellow Yellow Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black
Black Black Black Yellow Yellow Yellow Black Yellow Yellow Red Black Black Black Black Black
Black Black Black Yellow Red Yellow Red Yellow Red Yellow Black Black Black Black Black
Black Black Black Yellow Red Yellow Yellow Black Yellow Black Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Black Black Black 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 Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black


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


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


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