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 Gray Gray Black Black Gray Gray Black Black Gray Gray Black Gray
Gray Black Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black
Black Gray Black Black Black Gray Black Black Black Black Black Gray Black Black
Gray Black Gray Black Black Black Gray Black Black Gray Black Gray Gray Gray
Black Black Gray Black Black Gray Gray Gray Black Gray Gray Black Black Black
Black Gray Gray Black Blue Gray Black Gray Gray Gray Gray Black Gray Black
Gray Black Black Gray Purple Black Black Black Gray Black Gray Black Black Gray
Gray Gray Gray Purple Purple Gray Black Gray Black Gray Black Black Black Black
Gray Black Black Gray Black Gray Black Black Black Black Black Black Gray Black
Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Black Gray Black Black
Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Black Black Black
Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Black Gray Gray Black Gray Black Gray Black Gray Gray Gray Black
Gray Gray Black Black Gray Black Black Black Gray Black Black Gray Gray Gray

Output:
Black Black Gray Gray Black Black Gray Gray Black Gray Gray Gray Black Gray
Gray Black Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black
Black Gray Black Black Blue Gray Black Gray Gray Gray Gray Gray Black Black
Gray Black Gray Gray Purple Black Gray Black Gray Gray Gray Gray Gray Gray
Gray Gray Gray Purple Purple Gray Gray Gray Black Gray Gray Black Black Black
Gray Gray Gray Gray Blue Gray Black Gray Gray Gray Gray Black Gray Black
Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Black Black Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Black
Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Gray
Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Gray Black Gray Gray Black Gray Black Gray Black Gray Gray Gray Black
Gray Gray Black Black Gray Black Black Black Gray Black Black Gray Gray Gray


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

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


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

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


Here is the input grid for the test example:
Input:
Black Black Black Brown Brown Black Black Brown Brown Brown Black
Black Black Brown Black Black Black Brown Black Black Brown Brown
Black Brown Brown Black Black Brown Brown Brown Black Brown Black
Black Brown Black Black Brown Black Black Black Brown Brown Brown
Brown Black Brown Black Brown Black Brown Brown Black Brown Black
Brown Brown Brown Brown Brown Black Brown Brown Brown Black Brown
Black Brown Brown Brown Brown Black Black Brown Brown Brown Black
Black Brown Brown Brown Brown Brown Brown Green Green Green Brown
Black Black Black Black Brown Brown Brown Green Blue Green Brown
Black Brown Black Black Brown Brown Brown Black Black Brown Brown
Black Brown Brown Brown Brown Black Black Black Brown Brown Brown


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 Brown Brown Black Black Brown Brown Brown Black
Black Black Brown Black Brown Black Brown Black Black Brown Brown
Brown Brown Brown Black Brown Brown Brown Brown Black Brown Black
Brown Brown Brown Brown Brown Black Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Black Brown Brown Brown Brown Black
Brown Brown Brown Brown Brown Brown Brown Green Green Green Brown
Black Brown Brown Brown Brown Brown Brown Green Blue Green Brown
Black Brown Brown Brown Brown Brown Brown Green Green Brown Brown
Black Brown Brown Brown Brown Brown Brown Green Brown Brown Brown
Black Brown Black Black Brown Brown Brown Black Black Brown Brown
Black Brown Brown Brown Brown Black Black Black Brown Brown Brown
```
assistant