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:
Purple Brown Purple Purple Purple Black Purple Brown Black Brown Purple Purple Purple Black Black Black
Black Black Brown Black Brown Black Black Brown Purple Black Brown Brown Black Brown Black Brown
Purple Brown Brown Black Purple Brown Black Purple Brown Black Purple Black Purple Brown Brown Purple
Black Brown Purple Purple Black Purple Black Brown Purple Brown Black Brown Brown Black Black Black
Purple Purple Black Brown Brown Brown Black Brown Brown Purple Purple Black Black Black Brown Purple
Brown Brown Purple Purple Black Black Black Purple Purple Purple Purple Brown Black Black Brown Purple
Purple Black Brown Brown Purple Brown Brown Purple Black Brown Purple Purple Black Black Purple Brown
Brown Purple Brown Purple Black Black Black Black Black Purple Black Black Purple Purple Brown Black
Black Brown Purple Black Black Black Black Brown Brown Black Black Brown Brown Black Black Brown
Purple Brown Black Purple Brown Brown Purple Brown Purple Black Brown Black Purple Black Purple Black
Purple Purple Purple Brown Black Brown Black Purple Black Black Black Black Brown Black Black Purple
Black Black Black Black Black Purple Black Brown Purple Purple Black Black Purple Brown Brown Brown

Output:
Purple Brown Purple Purple Purple Black Purple Brown Black Yellow Yellow Yellow Purple Black Black Black
Black Black Brown Black Brown Black Black Brown Purple Yellow Yellow Yellow Black Brown Black Brown
Purple Brown Brown Black Purple Brown Black Purple Brown Yellow Yellow Yellow Purple Brown Brown Purple
Black Brown Purple Purple Black Purple Black Brown Purple Brown Black Brown Brown Black Black Black
Purple Purple Black Brown Brown Brown Black Brown Brown Purple Purple Black Black Black Brown Purple
Brown Brown Purple Purple Black Black Black Purple Purple Purple Purple Brown Black Black Brown Purple
Purple Black Brown Brown Purple Brown Brown Purple Black Brown Purple Purple Black Black Purple Brown
Brown Purple Brown Purple Black Black Black Black Black Purple Black Black Purple Purple Brown Black
Black Brown Purple Black Black Black Black Brown Brown Black Black Brown Brown Black Black Brown
Purple Brown Black Purple Brown Brown Purple Brown Purple Black Brown Black Purple Black Purple Black
Purple Purple Purple Brown Black Brown Black Purple Black Black Black Black Brown Black Black Purple
Black Black Black Black Black Purple Black Brown Purple Purple Black Black Purple Brown Brown Brown


Example 2
Input:
Gray Gray Black Black Black Black Black Black Gray Purple Gray Black Gray Black Gray
Purple Black Gray Gray Black Black Purple Black Gray Black Purple Gray Purple Purple Black
Black Black Black Purple Purple Black Black Purple Gray Gray Purple Black Purple Gray Gray
Purple Purple Black Purple Black Purple Black Purple Purple Gray Black Gray Black Gray Gray
Purple Purple Black Black Black Black Purple Black Purple Black Gray Purple Gray Black Black
Gray Purple Gray Purple Purple Gray Black Purple Gray Gray Black Gray Purple Gray Black
Purple Purple Gray Gray Purple Gray Gray Gray Black Black Black Gray Black Gray Black
Black Purple Gray Purple Purple Purple Purple Purple Black Gray Purple Purple Black Gray Purple
Black Black Gray Gray Black Black Black Purple Gray Gray Gray Purple Black Black Purple
Black Black Gray Black Black Black Purple Gray Black Gray Black Black Gray Black Black
Purple Black Black Purple Purple Black Purple Purple Purple Gray Black Gray Gray Gray Black
Purple Purple Black Black Purple Purple Black Gray Black Purple Gray Black Black Black Black
Gray Gray Black Purple Black Gray Black Gray Black Purple Purple Black Black Purple Purple
Black Black Purple Black Purple Black Black Black Gray Purple Black Black Black Gray Purple
Purple Black Purple Purple Black Gray Black Gray Purple Black Gray Black Black Gray Purple
Purple Purple Purple Black Gray Purple Black Purple Gray Black Gray Gray Gray Black Black
Purple Gray Gray Gray Gray Black Purple Gray Purple Black Black Gray Black Gray Gray
Black Black Gray Gray Black Gray Gray Black Purple Gray Gray Purple Purple Black Gray
Purple Purple Black Gray Purple Purple Gray Black Purple Black Purple Purple Gray Gray Black

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


Example 3
Input:
Green Black Green Green Green Black Black Black Black Green Black Green Green Black Green Green Black Green
Green Black Black Brown Green Green Green Green Brown Brown Green Black Brown Brown Green Green Brown Green
Brown Black Black Brown Black Brown Black Green Brown Black Black Black Black Black Black Black Black Green
Green Black Green Brown Green Green Black Green Black Green Black Black Green Green Green Black Green Green
Green Brown Black Black Green Black Green Black Green Green Black Brown Black Black Black Green Brown Black
Brown Brown Brown Black Black Brown Green Black Black Green Black Black Black Black Brown Brown Brown Brown
Black Black Brown Black Black Black Black Black Black Black Green Brown Black Brown Black Black Green Black
Brown Brown Brown Black Brown Green Brown Green Black Brown Green Black Brown Green Black Brown Green Black
Green Green Black Brown Green Brown Black Brown Green Green Black Green Black Brown Brown Brown Black Black
Black Brown Green Black Green Black Brown Brown Black Brown Black Brown Brown Brown Green Green Green Black
Green Green Brown Green Green Black Brown Brown Brown Green Brown Green Green Green Brown Black Green Green
Brown Black Brown Black Black Green Brown Brown Black Black Black Brown Black Green Black Green Green Black
Black Brown Brown Black Brown Brown Black Brown Brown Brown Brown Brown Brown Black Black Black Green Green
Black Brown Green Green Black Black Green Black Brown Black Black Brown Black Green Black Black Brown Black
Brown Black Green Brown Brown Brown Green Black Brown Black Brown Brown Brown Black Black Green Brown Black
Brown Green Black Brown Brown Black Brown Green Brown Green Green Green Brown Green Black Black Green Brown
Black Green Brown Green Black Black Brown Brown Green Black Black Black Black Black Brown Black Brown Black
Brown Brown Brown Green Brown Green Green Green Black Black Black Black Green Black Green Brown Green Brown

Output:
Green Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Black Green Green Black Green
Green Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Brown Brown Green Green Brown Green
Brown Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green
Green Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Green Green Green Black Green Green
Green Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Black Black Black Green Brown Black
Brown Brown Brown Black Black Brown Green Black Black Green Black Black Black Black Brown Brown Brown Brown
Black Black Brown Black Black Black Black Black Black Black Green Brown Black Brown Black Black Green Black
Brown Brown Brown Black Brown Green Brown Green Black Brown Green Black Brown Green Black Brown Green Black
Green Green Black Brown Green Brown Black Brown Green Green Black Green Black Brown Brown Brown Black Black
Black Brown Green Black Green Black Brown Brown Black Brown Black Brown Brown Brown Green Green Green Black
Green Green Brown Green Green Black Brown Brown Brown Green Brown Green Green Green Brown Black Green Green
Brown Black Brown Black Black Green Brown Brown Black Black Black Brown Black Green Black Green Green Black
Black Brown Brown Black Brown Brown Black Brown Brown Brown Brown Brown Brown Black Black Black Green Green
Black Brown Green Green Black Black Green Black Brown Black Black Brown Black Green Black Black Brown Black
Brown Black Green Brown Brown Brown Green Black Brown Black Brown Brown Brown Black Black Green Brown Black
Brown Green Black Brown Brown Black Brown Green Brown Green Green Green Brown Green Black Black Green Brown
Black Green Brown Green Black Black Brown Brown Green Black Black Black Black Black Brown Black Brown Black
Brown Brown Brown Green Brown Green Green Green Black Black Black Black Green Black Green Brown Green Brown


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


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 Black Yellow Black Red Red Red Red Blue Blue Black
Red Black Black Blue Red Black Blue Red Black Red Black
Red Red Red Red Blue Blue Black Red Red Blue Black
Blue Red Black Black Red Blue Red Black Red Red Black
Black Blue Black Blue Blue Black Red Black Red Black Black
Black Blue Black Blue Blue Black Black Red Red Black Blue
Red Black Black Black Blue Blue Blue Blue Blue Red Black
Red Blue Black Black Black Red Red Black Red Red Black
Blue Blue Red Red Black Black Black Blue Blue Blue Black
Black Blue Black Red Red Black Red Black Blue Red Blue
Black Blue Blue Red Black Black Red Black Black Black Black
Blue Blue Blue Red Black Black Black Black Black Red Black
Black Red Blue Black Black Red Red Blue Blue Blue Blue
Blue Red Black Blue Black Black Red Black Black Red Blue
Blue Black Black Blue Black Black Red Red Blue Black Red
Red Blue Blue Blue Red Red Red Red Blue Blue Blue
Black Black Black Red Black Black Red Red Black Red Black
Red Black Blue Black Blue Black Black Black Blue Red Blue
Red Black Blue Black Blue Red Black Blue Blue Blue Red
```
assistant