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 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 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 Blue Black
Black Black Black Black Black Black Blue Black Black Black Black Black Black Blue 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 Black
Black Black Black Black Black Black Black Red 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 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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black 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 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
Red Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black
Black Black Black Black Red Black Black Black Black Blue Black Black Black Black Black Black Black Red Black Black

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


Example 2
Input:
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 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 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
Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Blue
Black Black Black Black Blue 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 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 Blue Black Red Black Black Black Black Black Black Black Black Black Black Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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 Black Black Black Red Black Black Black Black Black Black Black Black Blue Black 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 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 Red Black Black Black Black Black Black Black

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


Example 3
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 Red Black Black Black Blue 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 Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red 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 Blue 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 Red Black Black Black Black Black Black Black Black Black Black Black Black Black

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


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