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:
Red Red 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
Red Red 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
Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black
Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black
Gray Gray Red Red Black Black Black Black Black Black Red Red Black Black Black Black Black Black Gray Gray Black Black Red Red Black Black Black Black
Gray Gray Red Red Black Black Black Black Black Black Red Red Black Black Black Black Black Black Gray Gray Black Black Red Red Black Black Black Black
Gray Gray Red Red Black Black Black Black Black Black Black Black Red Red Red Red Red Red Gray Gray Black Black Black Black Black Black Black Black
Gray Gray Red Red Black Black Black Black Black Black Black Black Red Red Red Red Red Red Gray Gray Black Black Black Black Black Black Black Black
Gray Gray Black Black Black Black Red Red Black Black Black Black Red Red Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black
Gray Gray Black Black Black Black Red Red Black Black Black Black Red Red Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black
Gray Gray Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Red Red
Gray Gray Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Red Red
Gray Gray Red Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Gray Gray Black Black Red Red Black Black Black Black
Gray Gray Red Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Gray Gray Black Black Red Red Black Black Black Black
Gray Gray Red Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Gray Gray Black Black Black Black Black Black Red Red
Gray Gray Red Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Gray Gray Black Black Black Black Black Black Red Red
Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black
Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Red Red Black Black Red Red Black Black Red Red Red Red Black Black Red Red Black Black
Red Red Black Black Black Black Black Black Black Black Red Red Black Black Red Red Black Black Red Red Red Red Black Black Red Red Black Black
Red Red Black Black Black Black Black Black Red Red Black Black Black Black Red Red Red Red Black Black Black Black Red Red Black Black Black Black
Red Red Black Black Black Black Black Black Red Red Black Black Black Black Red Red Red Red Black Black Black Black Red Red 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 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

Output:
Red Red Black Black Black 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 Black Black Black Black Black Black Red Red
Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray
Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray
Gray Gray Red Red Black Black Black Black Black Black Red Red Black Black Black Black Black Black Gray Gray
Gray Gray Red Red Black Black Black Black Black Black Red Red Black Black Black Black Black Black Gray Gray
Gray Gray Red Red Black Black Black Black Black Black Black Black Red Red Red Red Red Red Gray Gray
Gray Gray Red Red Black Black Black Black Black Black Black Black Red Red Red Red Red Red Gray Gray
Gray Gray Black Black Black Black Red Red Black Black Black Black Red Red Black Black Black Black Gray Gray
Gray Gray Black Black Black Black Red Red Black Black Black Black Red Red Black Black Black Black Gray Gray
Gray Gray Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Gray Gray
Gray Gray Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Gray Gray
Gray Gray Red Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Gray Gray
Gray Gray Red Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Gray Gray
Gray Gray Red Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Gray Gray
Gray Gray Red Red Black Black Black Black Black Black Black Black Black Black Red Red Black Black Gray Gray
Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray
Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray
Red Red Black Black Black Black Black Black Black Black Red Red Black Black Red Red Black Black Red Red
Red Red Black Black Black Black Black Black Black Black Red Red Black Black Red Red Black Black Red Red


Example 2
Input:
Black Black Red Red Black Black Black Black Red Red Black Black Black Black Red Red Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Red Red Black Black Black Black Red Red 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
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 Red Red Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red
Black Black Red Red 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 Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Black Black
Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red Black Black
Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Red Red Black Black Gray Gray Black Black
Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Red Red Black Black Gray Gray Black Black
Black Black Gray Gray Black Black Red Red Black Black Black Black Black Black Black Black Black Black Gray Gray Red Red
Black Black Gray Gray Black Black Red Red Black Black Black Black Black Black Black Black Black Black Gray Gray Red Red
Black Black Gray Gray Black Black Black Black Red Red Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Gray Gray Black Black Black Black Red Red Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Gray Gray Black Black Black Black Red Red Black Black Black Black Black Black Black Black Gray Gray Black Black
Black Black Gray Gray Black Black Black Black Red Red Black Black Black Black Black Black Black Black Gray Gray Black Black
Red Red Gray Gray Red Red Black Black Red Red Red Red Black Black Black Black Black Black Gray Gray Black Black
Red Red Gray Gray Red Red Black Black Red Red Red Red Black Black Black Black Black Black Gray Gray Black Black
Black Black Gray Gray Red Red Black Black Red Red Red Red Black Black Black Black Black Black Gray Gray Black Black
Black Black Gray Gray Red Red Black Black Red Red Red Red Black Black Black Black Black Black Gray Gray Black Black
Black Black Gray Gray Black Black Red Red Black Black Black Black Black Black Red Red Black Black Gray Gray Black Black
Black Black Gray Gray Black Black Red Red Black Black Black Black Black Black Red Red Black Black Gray Gray Black Black
Black Black Red Red Red Red Black Black Black Black Black Black Red Red Black Black Black Black Red Red Black Black
Black Black Red Red Red Red Black Black Black Black Black Black Red Red Black Black Black Black Red Red Black Black

Output:
Red Red Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red
Red Red Red Red Red Red Black Black Black Black Black Black Black Black Red Red Red Red
Gray Gray Black Black Black Black Black Black Black Black Black Black Red Red Black Black Gray Gray
Gray Gray Black Black Black Black Black Black Black Black Black Black Red Red Black Black Gray Gray
Gray Gray Black Black Red Red Black Black Black Black Black Black Black Black Black Black Gray Gray
Gray Gray Black Black Red Red Black Black Black Black Black Black Black Black Black Black Gray Gray
Gray Gray Black Black Black Black Red Red Black Black Black Black Black Black Black Black Gray Gray
Gray Gray Black Black Black Black Red Red Black Black Black Black Black Black Black Black Gray Gray
Gray Gray Black Black Black Black Red Red Black Black Black Black Black Black Black Black Gray Gray
Gray Gray Black Black Black Black Red Red Black Black Black Black Black Black Black Black Gray Gray
Gray Gray Red Red Black Black Red Red Red Red Black Black Black Black Black Black Gray Gray
Gray Gray Red Red Black Black Red Red Red Red Black Black Black Black Black Black Gray Gray
Gray Gray Red Red Black Black Red Red Red Red Black Black Black Black Black Black Gray Gray
Gray Gray Red Red Black Black Red Red Red Red Black Black Black Black Black Black Gray Gray
Gray Gray Black Black Red Red Black Black Black Black Black Black Red Red Black Black Gray Gray
Gray Gray Black Black Red Red Black Black Black Black Black Black Red Red Black Black Gray Gray
Red Red Red Red Black Black Black Black Black Black Red Red Black Black Black Black Red Red
Red Red Red Red Black Black Black Black Black Black Red Red Black Black Black Black Red Red


Example 3
Input:
Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red
Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red 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 Red Red Black Black Black Black Black Black Black Black
Red Red Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Red Red 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 Black Black
Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Red Red Black Black Red Red Black Black Red Red Black Black Red Red
Red Red Black Black Black Black Black Black Red Red Black Black Red Red Black Black Red Red Black Black Red Red
Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Red Red Black Black Black Black Black Black
Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Red Red Black Black Black Black Black Black
Gray Gray Black Black Black Black Black Black Black Black Red Red Gray Gray Red Red Black Black Black Black Black Black
Gray Gray Black Black Black Black Black Black Black Black Red Red Gray Gray Red Red Black Black Black Black Black Black
Gray Gray Black Black Black Black Black Black Red Red Red Red Gray Gray Black Black Black Black Black Black Red Red
Gray Gray Black Black Black Black Black Black Red Red Red Red Gray Gray Black Black Black Black Black Black Red Red
Gray Gray Red Red Black Black Black Black Black Black Black Black Gray Gray Red Red Black Black Red Red Black Black
Gray Gray Red Red Black Black Black Black Black Black Black Black Gray Gray Red Red Black Black Red Red Black Black
Gray Gray Red Red Black Black Red Red Black Black Black Black Gray Gray Black Black Black Black Red Red Black Black
Gray Gray Red Red Black Black Red Red Black Black Black Black Gray Gray Black Black Black Black Red Red Black Black
Red Red Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Red Red Red Red 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 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 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 Red Red

Output:
Red Red Black Black Black Black Black Black Red Red Black Black Red Red
Red Red Black Black Black Black Black Black Red Red Black Black Red Red
Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray
Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Gray
Gray Gray Black Black Black Black Black Black Black Black Red Red Gray Gray
Gray Gray Black Black Black Black Black Black Black Black Red Red Gray Gray
Gray Gray Black Black Black Black Black Black Red Red Red Red Gray Gray
Gray Gray Black Black Black Black Black Black Red Red Red Red Gray Gray
Gray Gray Red Red Black Black Black Black Black Black Black Black Gray Gray
Gray Gray Red Red Black Black Black Black Black Black Black Black Gray Gray
Gray Gray Red Red Black Black Red Red Black Black Black Black Gray Gray
Gray Gray Red Red Black Black Red Red Black Black Black Black Gray Gray
Red Red Black Black Black Black Black Black Black Black Red Red Red Red
Red Red Black Black Black Black 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 Red Red Black Black Red Red Black Black Red Red Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Red Red Black Black Red Red Black Black Red Red Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray
Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray
Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray
Red Red Black Black Black Black Black Black Black Black Red Red Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray
Black Black Black Black Red Red Black Black Red Red Red Red Red Red Black Black Gray Gray Black Black Black Black Black Black Gray Gray
Black Black Black Black Red Red Black Black Red Red Red Red Red Red Black Black Gray Gray Black Black Black Black Black Black Gray Gray
Black Black Black Black Black Black Red Red Red Red Black Black Black Black Red Red Gray Gray Black Black Black Black Black Black Gray Gray
Black Black Black Black Black Black Red Red Red Red Black Black Black Black Red Red Gray Gray Black Black Black Black Black Black Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Gray Gray Black Black Red Red Red Red Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Gray Gray Black Black Red Red Red Red Gray Gray
Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray
Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray
Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Gray Gray Black Black Black Black Red Red Gray Gray
Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Gray Gray Black Black Black Black Red Red Gray Gray
Black Black Red Red Black Black Red Red Black Black Red Red Black Black Red Red Gray Gray Black Black Black Black Black Black Gray Gray
Black Black Red Red Black Black Red Red Black Black Red Red Black Black Red Red Gray Gray Black Black Black Black Black Black Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Red Red
Black Black Red Red Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red 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 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 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 Red Red Black Black Black Black Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Red Red 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:

```
Red Red Black Black Black Black Black Black Red Red
Red Red Black Black Black Black Black Black Red Red
Gray Gray Black Black Black Black Black Black Gray Gray
Gray Gray Black Black Black Black Black Black Gray Gray
Gray Gray Black Black Black Black Black Black Gray Gray
Gray Gray Black Black Black Black Black Black Gray Gray
Gray Gray Black Black Black Black Black Black Gray Gray
Gray Gray Black Black Black Black Black Black Gray Gray
Gray Gray Black Black Black Black Black Black Gray Gray
Gray Gray Black Black Black Black Black Black Gray Gray
Gray Gray Black Black Red Red Red Red Gray Gray
Gray Gray Black Black Red Red Red Red Gray Gray
Gray Gray Black Black Black Black Black Black Gray Gray
Gray Gray Black Black Black Black Black Black Gray Gray
Gray Gray Black Black Black Black Red Red Gray Gray
Gray Gray Black Black Black Black Red Red Gray Gray
Gray Gray Black Black Black Black Black Black Gray Gray
Gray Gray Black Black Black Black Black Black Gray Gray
Red Red Black Black Black Black Black Black Red Red
Red Red Black Black Black Black Black Black Red Red
```
assistant