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

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


Example 2
Input:
Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black
Black Black Black Yellow Yellow Blue Yellow Yellow Black Black Black
Black Black Black Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black
Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black

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


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

```
Blue Blue Blue Blue Black Black Black Purple Purple Purple Purple
Purple Purple Purple Purple Black Black Black Red Purple Purple Red
Red Black Black Red 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 Blue Green Red Purple Blue Black Black
Black Black Black Black Blue Green Red Purple Blue Black Black
Black Black Black Black Blue Yellow Red Yellow Blue Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Black Black Yellow Black Black Black Yellow Black Black
Black Black Black Black Purple Black Black Black Purple Black Black
```
assistant