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 Red Red Black Black Black Black Black Black Black Black Blue Black
Red Red Red Red Purple Purple Black Black Black Black Blue Blue Blue
Red Red Red Red Purple Purple Black Black Black Black Black Blue Black
Red Red Red Red Purple Purple Black Purple Purple Purple Purple Black Black
Black Black Black Black Purple Purple Black Black Purple Purple 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 Black Black Black Black
Black Purple Black Purple Black Black Black Black Brown Brown Brown Black Black
Black Purple Black Purple Black Black Black Black Black Brown Brown Black Black
Black Purple Black Purple Black Black Black Black Brown Brown Brown Black Black
Black Purple Purple Purple Black Black Black Black Black Black Black Black Black

Output:
Black Green Black
Green Green Green
Black Green Black


Example 2
Input:
Black Black Black Black Black Black 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 Green Green Green Black Black
Black Blue Blue Blue Black Green Green Green Green Green Black Black
Blue Blue Blue Blue Blue Green Green Green Black Black Black Black
Blue Blue Blue Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Black Black Black Black Black Black Black
Black Blue Blue Blue Black Black Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black Black Black
Black Black Black Pink Black Black Black Red Red Black Black Black
Black Black Pink Pink Black Black Red Red Red Red Black Black
Black Black Black Black Black Black Red Red Red Red Black Black

Output:
Black Black Black Black Black Black Black Green Black Black
Black Black Black Black Black Black Black Green Green Green
Black Green Green Green Black Green Green Green Green Green
Green Green Green Green Green Green Green Green Black Black
Green Green Green Black Black Black Black Black Black Black
Green Green Green Green Green Black Black Black Black Black
Black Green Green Green Black Black Black Black Black Black
Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Pink Black Black Black Black Black Black
Black Black Pink Pink Black Black 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 Black Black Black Black Black Black Black Black
Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black
Black Black Gray Black Blue Blue Blue Black Black Black Black Black Black Black
Red Red Red Red Blue Blue Blue Black Black Black Black Black Black Black
Red Red Red Red Black Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Brown Black Brown Black Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black
Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black
Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Black Gray Gray Black Black Black Black Black Black
Black Black Gray Black Green Green Green Black Black
Red Red Red Red Green Green Green Black Black
Red Red Red Red Black Green Black Black Black
Black Black Black Black Black Brown Brown Brown Brown
Black Black Black Black Black Brown Black Brown Black
Black Black Black Black Black Brown Brown Brown Brown


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