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 Pink Brown Black Pink
Brown Black Black Orange Black
Black Orange Blue Black Yellow
Red Black Green Purple Green

Output:
Gray Yellow Purple Gray Yellow Gray Yellow Purple Gray Yellow
Purple Gray Gray Blue Gray Purple Gray Gray Blue Gray
Gray Blue Orange Gray Pink Gray Blue Orange Gray Pink
Green Gray Red Brown Red Green Gray Red Brown Red


Example 2
Input:
Black Black Red Black
Red Brown Black Black
Brown Brown Purple Pink
Orange Black Green Black
Black Orange Blue Purple

Output:
Gray Gray Green Gray Gray Gray Green Gray
Green Purple Gray Gray Green Purple Gray Gray
Purple Purple Brown Yellow Purple Purple Brown Yellow
Blue Gray Red Gray Blue Gray Red Gray
Gray Blue Orange Brown Gray Blue Orange Brown


Example 3
Input:
Black Red Black Blue Pink
Gray Black Black Yellow Green
Purple Black Brown Gray Black
Orange Gray Black Black Brown
Brown Black Black Black Black

Output:
Gray Green Gray Orange Yellow Gray Green Gray Orange Yellow
Black Gray Gray Pink Red Black Gray Gray Pink Red
Brown Gray Purple Black Gray Brown Gray Purple Black Gray
Blue Black Gray Gray Purple Blue Black Gray Gray Purple
Purple Gray Gray Gray Gray Purple Gray Gray Gray Gray


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