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
Red Red Red Red Green Green Green Green Black Black Black Black Black Green Green Black Black
Red Red Red Red Green Green Green Green Black Black Red Red Black Green Green Black Black
Red Red Red Red Green Green Green Green Black Black Red Red Red Red Red Red Black
Red Red Red Red Green Green Green Green Black Black Black Black Red Red Red Red Black
Black Black Black Black Green Green Green Green Black Black Black Black Red Red Red Red Black
Black Black Black Black Green Green Green Green Black Black Black Black Red Red Red Red Black
Green Green Green Black Green Green Green Green Black Black Black Black Black Black Black Black Black
Green Green Green Black Green Green Green Green Black Black Red Red Red Red Black Black Black
Green Green Green Black Black Black Red Red Red Red Red Red Red Red Black Black Black
Red Red Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black
Red Red Black Red Red Red Red Red Red Red Red Red Red Red Black Black Black
Black Black Black Red Red Red Red Red Red Red 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
Red Red Red Red Green Green Green Green Black Black Black Black Black Purple Purple Black Black
Red Red Red Red Green Green Green Green Black Black Red Red Black Purple Purple Black Black
Red Red Red Red Green Green Green Green Black Black Red Red Red Red Red Red Black
Red Red Red Red Green Green Green Green Black Black Black Black Red Red Red Red Black
Black Black Black Black Green Green Green Green Black Black Black Black Red Red Red Red Black
Black Black Black Black Green Green Green Green Black Black Black Black Red Red Red Red Black
Green Green Green Black Green Green Green Green Black Black Black Black Black Black Black Black Black
Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black
Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black
Red Red Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black
Red Red Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black


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

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


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

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


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

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