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 Yellow Green Green Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black
Red Green Green Red Black Black Black Black Black Black Black Black Red Red Red Green Black
Red Green Green Red Black Black Black Red Black Black Black Black Black Red Red Yellow Black
Yellow Green Green Yellow Black Red Red Red 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 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 Blue Blue Black Black
Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Blue Yellow Blue Black
Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Blue Blue 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 Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black
Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black
Purple Purple Purple Purple Black Black Black Red Black Black Black Black Black Purple Purple Purple Black
Purple Purple Purple Purple Black Red Red Red 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 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 Purple Purple Black Black
Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Purple Purple Purple Black
Black Black Yellow Yellow Yellow 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


Example 2
Input:
Black Black Red Red Black Black Yellow Black Black Black Red Green Black Black Black
Black Black Red Red Black Blue Green Green Black Black Black Green Green Black Black
Black Black Red Red Black Blue Green Green Black Black Black Green Green Black Black
Black Black Black Black Black Black Yellow Black Black Black Red Green Black Black Black
Black Black Black Black Black Black 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 Blue Black Black Black Black Black Black Red Red Black Black Black Black Black
Green Blue Black Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Black Black Black Black Black 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 Black Black Black

Output:
Black Black Red Red Black Black Purple Black Black Black Red Green Black Black Black
Black Black Red Red Black Purple Purple Purple Black Black Black Green Green Black Black
Black Black Red Red Black Purple Purple Purple Black Black Black Green Green Black Black
Black Black Black Black Black Black Purple Black Black Black Red Green Black Black Black
Black Black Black Black Black Black 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 Blue Black Black Black Black Black Black Red Red Black Black Black Black Black
Green Blue Black Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black
Black Black Black Black Black Black Black Black 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 Black Black Black


Example 3
Input:
Black Black Black Black Red Yellow Yellow Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Green Green 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 Red Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black
Black Black Yellow Black Black Black Black Black Red Yellow Black Black Black Black Black Black
Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black

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


Here is the input grid for the test example:
Input:
Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black
Black Yellow Yellow Black Yellow Yellow Black Black Black Yellow Yellow Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Green Blue Black Black Black
Black Black Black Black Yellow Yellow Black Black Black 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 Green Green Black Black Black
Black Black Black Black Black Black Black Black Yellow Blue Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Blue Black Black Black Black
Black Black Black Black Black Black Black Black Black Green Green Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black 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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black
Black Yellow Yellow Black Yellow Yellow Black Black Black Purple Purple Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Purple Purple Black Black Black
Black Black Black Black Yellow Yellow 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 Purple Purple 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 Purple Purple 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
```
assistant