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:
Green Green Black Black Purple Purple Black Black Green Green Black Black Gray Gray
Green Green Black Black Purple Purple Black Black Green Green Black Black Gray Gray
Black Black Red Red Black Black Yellow Yellow Black Black Gray Gray Black Black
Black Black Red Red Black Black Yellow Yellow Black Black Gray Gray Black Black
Yellow Yellow Black Black Gray Gray Black Black Gray Gray Black Black Green Green
Yellow Yellow Black Black Gray Gray Black Black Gray Gray Black Black Green Green
Black Black Red Red Black Black Gray Gray Black Black Green Green Black Black
Black Black Red Red Black Black Gray Gray Black Black Green Green Black Black
Purple Purple Black Black Blue Blue Black Black Green Green Black Black Blue Blue
Purple Purple Black Black Blue Blue Black Black Green Green Black Black Blue Blue
Black Black Red Red Black Black Blue Blue Black Black Gray Gray Black Black
Black Black Red Red Black Black Blue Blue Black Black Gray Gray Black Black
Blue Blue Black Black Green Green Black Black Yellow Yellow Black Black Gray Gray
Blue Blue Black Black Green Green Black Black Yellow Yellow Black Black Gray Gray
Black Black Red Red Black Black Blue Blue Black Black Gray Gray Black Black
Black Black Red Red Black Black Blue Blue Black Black Gray Gray Black Black
Blue Blue Black Black Yellow Yellow Black Black Purple Purple Black Black Gray Gray
Blue Blue Black Black Yellow Yellow Black Black Purple Purple Black Black Gray Gray

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


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

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


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

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


Here is the input grid for the test example:
Input:
Purple Purple Black Black Yellow Yellow Black Black Gray Gray Black Black Red Red Black Black
Purple Purple Black Black Yellow Yellow Black Black Gray Gray Black Black Red Red Black Black
Black Black Purple Purple Black Black Blue Blue Black Black Red Red Black Black Gray Gray
Black Black Purple Purple Black Black Blue Blue Black Black Red Red Black Black Gray Gray
Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Red Red Black Black
Gray Gray Black Black Gray Gray Black Black Gray Gray Black Black Red Red Black Black
Black Black Purple Purple Black Black Red Red Black Black Gray Gray Black Black Green Green
Black Black Purple Purple Black Black Red Red Black Black Gray Gray Black Black Green Green
Gray Gray Black Black Green Green Black Black Gray Gray Black Black Red Red Black Black
Gray Gray Black Black Green Green Black Black Gray Gray Black Black Red Red Black Black
Black Black Red Red Black Black Blue Blue Black Black Purple Purple Black Black Green Green
Black Black Red Red Black Black Blue Blue Black Black Purple Purple Black Black Green Green
Red Red Black Black Gray Gray Black Black Blue Blue Black Black Green Green Black Black
Red Red Black Black Gray Gray Black Black Blue Blue Black Black Green Green Black Black
Black Black Yellow Yellow Black Black Green Green Black Black Gray Gray Black Black Gray Gray
Black Black Yellow Yellow Black Black Green Green Black Black Gray Gray Black Black Gray Gray


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