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

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


Example 2
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 Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Black Black Black Blue Blue Blue 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 Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Green Green Red Black Black Black Black Black Black Black Black Black
Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black
Black Black Red Red Red 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

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


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

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


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


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