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 Black Green Green Black Blue Green Blue Green Green Green
Green Black Green Green Green Green Green Green Green Blue Green
Green Black Blue Green Green Green Blue Green Green Blue Blue
Green Blue Green Green Green Green Green Green Black Blue Green
Green Green Green Blue Green Blue Black Blue Blue Blue Blue
Blue Black Green Green Black Blue Green Green Green Green Blue
Green Blue Green Blue Green Green Blue Blue Blue Blue Green
Blue Green Green Blue Blue Green Green Black Blue Green Green
Green Green Green Green Green Green Blue Green Green Blue Blue
Green Green Green Green Green Green Green Blue Green Green Green
Green Green Green Blue Blue Blue Green Blue Blue Blue Green
Green Green Green Blue Black Green Blue Green Black Black Green
Green Green Green Green Black Black Blue Blue Green Green Blue

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


Example 2
Input:
Green Green Green Green Green Green Green Green Black Green Green Black Black
Black Green Green Green Green Green Green Green Green Green Green Green Black
Green Green Green Green Green Black Green Green Green Green Green Green Black
Green Green Green Green Green Green Green Green Green Green Green Black Green
Green Green Green Green Black Green Green Green Green Green Green Green Green
Green Black Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Black Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green
Black Green Green Green Green Green Green Green Green Green Green Black Green

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


Example 3
Input:
Black Black Red Red Red Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Red Black Black Black Black Red
Red Black Black Black Red Black Black Black Black Black Black Black Red Black
Black Black Red Red Black Red Black Black Red Black Black Black Black Black
Red Red Black Black Black Red Black Black Black Red Black Black Black Red
Black Black Red Black Black Black Red Red Red Black Red Black Black Black
Black Black Red Red Black Black Black Red Black Black Red Red Black Red
Red Black Black Red Black Black Black Black Black Red Black Black Black Red
Black Black Red Black Black Red Black Black Black Black Black Red Black Black
Red Black Black Red Black Black Black Black Red Red Black Black Red Black

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


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