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 Yellow Yellow Yellow Yellow Black Black
Black Yellow Yellow Yellow Yellow Black Black
Black Yellow Yellow Red Yellow Black Black
Black Yellow Yellow Yellow Yellow Black Black
Black Black Black Black Black Black Black
Black Black Black Black Black Black Black

Output:
Red Red Red Red Red Red Red
Red Yellow Yellow Yellow Yellow Black Red
Red Yellow Yellow Yellow Yellow Black Red
Red Yellow Yellow Red Yellow Black Red
Red Yellow Yellow Yellow Yellow Black Red
Red Black Black Black Black Black Red
Red Red Red Red Red Red Red


Example 2
Input:
Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Brown Brown Black Black Black
Black Black Brown Brown Brown Brown Black Black Black
Black Black Brown Brown Red Brown 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

Output:
Red Red Red Red Red Red Red Red Red
Red Black Brown Brown Brown Brown Black Black Red
Red Black Brown Brown Brown Brown Black Black Red
Red Black Brown Brown Red Brown Black Black Red
Red Black Brown Brown Brown Brown Black Black Red
Red Black Black Black Black Black Black Black Red
Red Red Red Red Red Red Red Red Red


Example 3
Input:
Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Pink Pink Black Black Black
Black Black Pink Pink Pink Pink Black Black Black
Black Black Pink Pink Gray Pink Black Black Black
Black Black Pink Pink Pink Pink Black Black Black
Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black

Output:
Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Black Black Black Black Black Black Black Gray
Gray Black Pink Pink Pink Pink Black Black Gray
Gray Black Pink Pink Pink Pink Black Black Gray
Gray Black Pink Pink Gray Pink Black Black Gray
Gray Black Pink Pink Pink Pink Black Black Gray
Gray Black Black Black Black Black Black Black Gray
Gray Black Black Black Black Black Black Black Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray


Here is the input grid for the test example:
Input:
Black Black Black Black Black
Black Purple Purple Black Black
Black Purple Gray 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:

```
Gray Gray Gray Gray Gray
Gray Purple Purple Black Gray
Gray Purple Gray Black Gray
Gray Black Black Black Gray
Gray Gray Gray Gray Gray
```
assistant