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 Brown Gray Black Black Black Black Black Black Black Black Black
Black Black Black Brown Brown Gray Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Brown Brown Black Brown Brown Brown Gray Gray Gray Black Black
Black Black Gray Gray Brown Purple Black Brown Brown Brown Gray Gray Gray Black Black
Black Black Black Black Black Black Black Brown Brown Brown Gray Gray Gray Black Black
Black Black Black Black Brown Brown Brown Brown Brown Brown Gray Gray Gray Black Black
Black Black Black Black Brown Brown Brown Brown Brown Brown Gray Gray Gray Black Black
Black Black Black Black Brown Brown Brown Brown Brown Brown Gray Gray Gray Black Black
Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black
Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black
Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black
Black Gray Gray Gray Gray Gray Gray Brown Brown Brown Purple Purple Purple Black Black
Black Gray Gray Gray Gray Gray Gray Brown Brown Brown Purple Purple Purple Black Black
Black Gray Gray Gray Gray Gray Gray Brown Brown Brown 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 Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Brown Gray
Black Brown Brown Gray
Brown Brown Brown Brown
Gray Gray Brown Purple


Example 2
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 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 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 Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Blue 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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

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

Output:
Gray Blue
Black Gray


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

```
Black Blue Black
Blue Blue Blue
Black Blue Black
```
assistant