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

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


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

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


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

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


Here is the input grid for the test example:
Input:
Black Black Gray Gray Black Black Black Black Gray
Blue Black Black Black Black Black Purple Black Orange
Black Green Black Black Black Black Black Black Black
Brown Black Black Black Black Purple Black Black Green
Black Blue Black Black Yellow Black Blue Black Black
Red Black Black Black Black Orange Black Black Black
Gray Yellow Black Orange Black Brown Black Black Black
Red Black Black Black Black Black Black Black Black
Black Gray Blue Purple Pink Black Black Black Pink


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:

```
Purple Purple Gray Gray Purple Purple Purple Purple Gray
Orange Purple Purple Purple Purple Purple Brown Purple Blue
Purple Red Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Brown Purple Purple Red
Purple Orange Purple Purple Pink Purple Orange Purple Purple
Green Purple Purple Purple Purple Blue Purple Purple Purple
Gray Pink Purple Blue Purple Purple Purple Purple Purple
Green Purple Purple Purple Purple Purple Purple Purple Purple
Purple Gray Orange Brown Yellow Purple Purple Purple Yellow
```
assistant