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 Blue
Blue Blue Green Green
Blue Black Black Black
Blue Black Black Black

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


Example 2
Input:
Black Black Black Blue Blue
Black Black Black Black Blue
Orange Blue Blue Pink Blue
Green Purple Blue Blue Black
Orange Orange Gray Black Black

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


Example 3
Input:
Orange Orange Black Black Brown
Blue Orange Red Brown Brown
Blue Green Black Black Black
Gray Green Black Black Black
Gray Black Black Black Black

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


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


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