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 Brown Black Black
Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Pink Pink Black Black Black Black Black Black Orange Black Black Black
Black Pink Pink Pink Pink Pink Black Black Black Black Orange Orange Orange Black Black
Black Black Pink Pink Pink Black Black Yellow Black Orange Orange Orange Orange Orange Black
Black Black Black Pink Black Black Yellow Yellow Yellow Black Orange Orange Orange Black Black
Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Orange Black Black Black
Black Black Black Black Black Black Yellow Yellow Yellow 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 Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Pink Pink Pink Purple Purple Purple Purple Purple Purple Orange Purple Purple Purple
Purple Pink Pink Pink Pink Pink Purple Purple Purple Purple Orange Orange Orange Purple Purple
Purple Purple Pink Pink Pink Purple Purple Yellow Purple Orange Orange Orange Orange Orange Purple
Purple Purple Purple Pink Purple Purple Yellow Yellow Yellow Purple Orange Orange Orange Purple Purple
Purple Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Purple Orange Purple Purple Purple
Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Yellow Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


Example 2
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 Orange Black Black Black
Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black
Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black
Black Black Black Black Black Black Black Black Black Black Black 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
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 Yellow Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Purple
Purple Purple Purple Purple Purple Purple Purple Purple Red Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Red Red Red Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Red Purple Purple Purple Purple Purple Purple


Example 3
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 Black Black Black
Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Red Black Black Black Black Black Gray Black Black Black Black
Black Red Red Red Red Red Black Black Black Gray Gray Gray Black Black Black
Black Black Red Red Red Black Black Black Black Black Gray Black Black Black Black
Black Black Black Red Black Yellow Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow 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 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

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Red Red Red Purple Purple Purple Purple Purple Gray Purple Purple Purple Purple
Purple Red Red Red Red Red Purple Purple Purple Gray Gray Gray Purple Purple Purple
Purple Purple Red Red Red Purple Purple Purple Purple Purple Gray Purple Purple Purple Purple
Purple Purple Purple Red Purple Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


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 Pink Black Black Gray Black Black Black Black Black Black Black Black
Black Black Pink Pink Pink Gray Gray Gray 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 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 Brown Black Black Black Black Black Black
Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black
Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black
Black Black Black Black Black Black Brown Black Brown Black Black Black Pink Black Black
Black Black Black Black Black Brown Brown Brown Black Black Black Pink Pink Pink Black
Black Black Black Black Black Black Brown Black Black Black Black Black Pink 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:

```
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Pink Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Pink Pink Pink Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Pink Purple Purple Gray Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Brown Purple Brown Purple Purple Purple Pink Purple Purple
Purple Purple Purple Purple Purple Brown Brown Brown Purple Purple Purple Pink Pink Pink Purple
Purple Purple Purple Purple Purple Purple Brown Purple Purple Purple Purple Purple Pink Purple Purple
```
assistant