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

Output:
Purple
Gray


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

Output:
Yellow Blue Black
Purple Purple Gray
Purple Purple Blue


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

Output:
Brown Pink Gray
Red Green Pink
Black Brown Brown


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

```
Gray
```
assistant