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 Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown Brown Black
Red Red Red Red Black Black Black Black Brown Brown Brown Brown Black
Red Red Red Red Yellow Yellow Yellow Black Brown Brown Brown Brown Black
Red Red Red Red Yellow Yellow Yellow Black Black Black Black Black Black
Red Red Red Red Yellow Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black 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 Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black
Purple Purple Purple Purple Black Black Black Purple Brown Brown Brown Brown Purple
Red Red Red Red Purple Purple Purple Purple Brown Brown Brown Brown Purple
Red Red Red Red Yellow Yellow Yellow Purple Brown Brown Brown Brown Purple
Red Red Red Red Yellow Yellow Yellow Purple Purple Purple Purple Purple Black
Red Red Red Red Yellow Yellow Yellow Purple Black Black Black Black Black
Purple Purple Purple Purple 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


Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Green Green Green Green Black Black Black Black Black Black
Black Black Green Green Green Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Orange Orange Black Black Black Black Black Black Black Black Black
Black Orange Orange Black Black Black Black Black Black Black Black Black
Black Orange Orange Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Purple Purple Purple Purple Black Black Black Black Black Black
Black Purple Green Green Green Green Purple Black Black Black Black Black
Black Purple Green Green Green Green Purple Black Black Black Black Black
Black Purple Purple Purple Purple Purple Black Black Black Black Black Black
Purple Orange Orange Purple Black Black Black Black Black Black Black Black
Purple Orange Orange Purple Black Black Black Black Black Black Black Black
Purple Orange Orange Purple Black Black Black Black Black Black Black Black
Black Purple Purple Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Purple Black Black Black Black Black Black Black
Brown Brown Brown Brown Purple Black Black Black Black Black Black Black
Purple Purple Purple Purple Black Black Black Black Black Black Black Black


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Gray Gray Black Black Black
Pink Pink Black Black Black Gray Gray Gray Gray Black Black Black
Pink Pink Black Black Black Purple Purple Purple Purple Black Black Black
Pink Pink Black Black Black Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Gray Black Black Black
Black Black Black Black Black Black Gray Gray Gray Black Black Black
Red Red Red Black Black Black Gray Gray Gray Black Black Black
Red Red Red Black Black Black Gray Gray Gray Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black

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


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
Red Red Red Red Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Black Green Green Black Black Black Black Black
Black Black Black Black Brown Brown Black Green Green Black Black Black Black Black
Black Black Black Black Brown Brown Black Green Green Black Black Black Black Black
Red Red Red Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Black Red Red Red Black Black Black Black Black Black Black
Red Red Red Black Red Red Red Black Black Black Black Black Black Black
Red Red Red Black Red Red Red Black Black Black Black Black Black Black
Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Purple Black Black Black Black Black Black Black Black Black
Red Red Red Red Purple Purple Black Purple Purple Black Black Black Black Black
Purple Purple Purple Purple Brown Brown Purple Green Green Purple Black Black Black Black
Black Black Black Purple Brown Brown Purple Green Green Purple Black Black Black Black
Purple Purple Purple Purple Brown Brown Purple Green Green Purple Black Black Black Black
Red Red Red Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Red Red Red Purple Red Red Red Purple Black Black Black Black Black Black
Red Red Red Purple Red Red Red Purple Black Black Black Black Black Black
Red Red Red Purple Red Red Red Purple Black Black Black Black Black Black
Purple Purple Purple Black Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant