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

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


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

Output:
Black Black Black Black Black Black Blue Red Red Red Blue Black Black Black Black
Black Black Black Black Black Black Red Red 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 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 Black Black 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 Blue Blue Blue Black Black Black Black Black Black
Blue Blue Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black
Blue Blue Black Black Black Blue Black Black Blue Blue Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Red Black Red Black
Black Black Black Black Black Black Black Black Blue Blue Black Red Black Red Black
Black Black Black Black Black Black Black Blue Blue Blue Black Red Red Red Black
Black Black Black Black Black Black Black Blue Blue Blue Black Red Red Red Black


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