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


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

Output:
Black Black Red Red Red Red Yellow Yellow Black Black Black Black
Black Black Red Red Red Red Yellow Yellow Blue Blue Blue Black
Black Black Red Red Red Red Yellow Yellow Blue Blue Blue Black
Black Black Red Red Red Red Black Black Blue Blue Blue Black
Black Black Black Black Black Black Black Black Blue Blue Blue Black
Black Black Black Black Blue Blue Black Orange Orange Orange Orange Orange
Black Yellow Yellow Black Blue Blue Black Orange Orange Orange Orange Orange
Black Yellow Yellow Black Blue Blue Black Orange Orange Blue Blue Blue
Black Yellow Yellow Black Blue Blue Black Orange Orange Blue Blue Blue
Black Yellow Yellow Black Blue Blue Black Orange Orange Orange Orange Black
Black Yellow Yellow Black Black Black Black Black Black Orange Orange Black
Black Black Black Black Black Black Black Black Black Black Black Black


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

Output:
Black Red Red Red Red Red Black Black Yellow Yellow Yellow Yellow
Black Red Red Red Red Red Black Black Yellow Yellow Yellow Yellow
Black Red Red Red Red Red Black Blue Blue Blue Blue Black
Black Red Red Red Red Red Black Blue Blue Blue Blue Black
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black
Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black
Black Black Orange Orange Orange Orange Orange Blue Blue Blue Blue Black
Black Black Orange Orange Orange Orange Orange Black Purple Purple Purple Purple
Black Purple Purple Purple Black Black Black Black Purple Purple Purple Purple
Black Purple Purple Purple Black Black Black Black Purple Purple Purple Purple
Black Purple Purple Purple Blue Blue Blue Blue Purple Purple Purple Purple
Black Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple


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