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 Green Black Blue Black Red
Green Black Blue Black Yellow Black
Black Green Black Red Black Yellow
Yellow Black Green Black Green Black
Black Red Black Red Black Blue
Yellow Black Green Black Yellow Black
Black Blue Black Red Black Blue
Red Black Red Black Yellow Black
Black Green Black Yellow Black Green
Blue Black Yellow Black Blue Black

Output:
Gray Gray Yellow Yellow Gray Gray Red Red Gray Gray Blue Blue
Gray Gray Yellow Yellow Gray Gray Red Red Gray Gray Blue Blue
Yellow Yellow Gray Gray Red Red Gray Gray Green Green Gray Gray
Yellow Yellow Gray Gray Red Red Gray Gray Green Green Gray Gray
Gray Gray Yellow Yellow Gray Gray Blue Blue Gray Gray Green Green
Gray Gray Yellow Yellow Gray Gray Blue Blue Gray Gray Green Green
Green Green Gray Gray Yellow Yellow Gray Gray Yellow Yellow Gray Gray
Green Green Gray Gray Yellow Yellow Gray Gray Yellow Yellow Gray Gray
Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Red Red
Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Red Red
Green Green Gray Gray Yellow Yellow Gray Gray Green Green Gray Gray
Green Green Gray Gray Yellow Yellow Gray Gray Green Green Gray Gray
Gray Gray Red Red Gray Gray Blue Blue Gray Gray Red Red
Gray Gray Red Red Gray Gray Blue Blue Gray Gray Red Red
Blue Blue Gray Gray Blue Blue Gray Gray Green Green Gray Gray
Blue Blue Gray Gray Blue Blue Gray Gray Green Green Gray Gray
Gray Gray Yellow Yellow Gray Gray Green Green Gray Gray Yellow Yellow
Gray Gray Yellow Yellow Gray Gray Green Green Gray Gray Yellow Yellow
Red Red Gray Gray Green Green Gray Gray Red Red Gray Gray
Red Red Gray Gray Green Green Gray Gray Red Red Gray Gray


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

Output:
Gray Gray Red Red Gray Gray Blue Blue Gray Gray Green Green Gray Gray Green Green
Gray Gray Red Red Gray Gray Blue Blue Gray Gray Green Green Gray Gray Green Green
Red Red Gray Gray Yellow Yellow Gray Gray Blue Blue Gray Gray Green Green Gray Gray
Red Red Gray Gray Yellow Yellow Gray Gray Blue Blue Gray Gray Green Green Gray Gray
Gray Gray Red Red Gray Gray Yellow Yellow Gray Gray Blue Blue Gray Gray Green Green
Gray Gray Red Red Gray Gray Yellow Yellow Gray Gray Blue Blue Gray Gray Green Green
Green Green Gray Gray Red Red Gray Gray Green Green Gray Gray Green Green Gray Gray
Green Green Gray Gray Red Red Gray Gray Green Green Gray Gray Green Green Gray Gray
Gray Gray Red Red Gray Gray Green Green Gray Gray Blue Blue Gray Gray Yellow Yellow
Gray Gray Red Red Gray Gray Green Green Gray Gray Blue Blue Gray Gray Yellow Yellow
Red Red Gray Gray Yellow Yellow Gray Gray Green Green Gray Gray Blue Blue Gray Gray
Red Red Gray Gray Yellow Yellow Gray Gray Green Green Gray Gray Blue Blue Gray Gray


Example 3
Input:
Black Green Black Red Black Blue Black Blue
Red Black Blue Black Green Black Yellow Black
Black Blue Black Green Black Green Black Green
Green Black Red Black Yellow Black Green Black
Black Red Black Blue Black Green Black Green
Green Black Green Black Yellow Black Green Black
Black Yellow Black Red Black Blue Black Green
Green Black Red Black Red Black Red Black

Output:
Gray Gray Yellow Yellow Gray Gray Blue Blue Gray Gray Red Red Gray Gray Red Red
Gray Gray Yellow Yellow Gray Gray Blue Blue Gray Gray Red Red Gray Gray Red Red
Blue Blue Gray Gray Red Red Gray Gray Yellow Yellow Gray Gray Green Green Gray Gray
Blue Blue Gray Gray Red Red Gray Gray Yellow Yellow Gray Gray Green Green Gray Gray
Gray Gray Red Red Gray Gray Yellow Yellow Gray Gray Yellow Yellow Gray Gray Yellow Yellow
Gray Gray Red Red Gray Gray Yellow Yellow Gray Gray Yellow Yellow Gray Gray Yellow Yellow
Yellow Yellow Gray Gray Blue Blue Gray Gray Green Green Gray Gray Yellow Yellow Gray Gray
Yellow Yellow Gray Gray Blue Blue Gray Gray Green Green Gray Gray Yellow Yellow Gray Gray
Gray Gray Blue Blue Gray Gray Red Red Gray Gray Yellow Yellow Gray Gray Yellow Yellow
Gray Gray Blue Blue Gray Gray Red Red Gray Gray Yellow Yellow Gray Gray Yellow Yellow
Yellow Yellow Gray Gray Yellow Yellow Gray Gray Green Green Gray Gray Yellow Yellow Gray Gray
Yellow Yellow Gray Gray Yellow Yellow Gray Gray Green Green Gray Gray Yellow Yellow Gray Gray
Gray Gray Green Green Gray Gray Blue Blue Gray Gray Red Red Gray Gray Yellow Yellow
Gray Gray Green Green Gray Gray Blue Blue Gray Gray Red Red Gray Gray Yellow Yellow
Yellow Yellow Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray
Yellow Yellow Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray Blue Blue Gray Gray


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