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

Output:
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 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 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 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 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


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

Output:
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 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 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
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 Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


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

Output:
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 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 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 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 Purple Purple Purple Purple Purple Purple Purple Purple


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


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:

```
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 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 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 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 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
```
assistant