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

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


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

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


Example 3
Input:
Blue Blue Pink Blue Blue Pink Blue Blue Pink Black Black Pink Black Black
Blue Blue Pink Blue Blue Pink Blue Blue Pink Black Black Pink Black Black
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Pink Blue Blue Pink Blue Blue Pink Black Black Pink Black Black
Black Black Pink Blue Blue Pink Blue Blue Pink Black Black Pink Black Black
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Pink Blue Blue Pink Black Black Pink Black Black Pink Black Black
Black Black Pink Blue Blue Pink Black Black Pink Black Black Pink Black Black
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Blue Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue
Blue Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue Pink Blue Blue
Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink
Black Black Pink Blue Blue Pink Blue Blue Pink Black Black Pink Black Black
Black Black Pink Blue Blue Pink Blue Blue Pink Black Black Pink Black Black

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


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

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