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

Output:
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 Black Black Black Black
Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black
Black Purple Purple Purple Black Black Yellow Black Black Black Black Black Black Black Black
Green Purple Purple Purple Yellow Purple Purple Purple Purple Black Black Black Black Black Black
Black Purple Purple Green Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Purple Purple Purple Purple Purple Purple Purple Purple Yellow Black Black Black Black Black
Black Purple Purple Purple Purple Purple Purple Purple Purple Black Green Black Black Black Black
Yellow Purple Purple Purple Purple Purple Yellow Purple Purple Purple Purple Purple Black Black Black
Black Purple Purple Purple Purple Purple Green Black Green Purple Purple Purple Green Black Black
Black Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black
Black Black Black Yellow Black Black Black Black Black Black Green Black Black Black Black


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


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 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 Yellow 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 Red Purple Purple Purple Green
Black Black Black Black Black Black Black Black Black Red Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Black Purple Purple Yellow 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 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
```
assistant