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 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 Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Brown Purple Brown Purple 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Purple Purple Purple Purple Purple
Purple Brown Brown Brown Purple Purple Purple Purple Red Purple Purple Red Purple Purple Purple Purple Purple
Purple Brown Purple Brown Purple Purple Purple Purple Red Purple Purple Red Purple Orange Orange Orange Orange
Purple Brown Purple Brown Purple Purple Purple Purple Red Red Red Red Purple Orange Purple Purple Orange
Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Purple Purple Orange
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange

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 Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Brown Purple Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Brown Brown Brown Purple Purple Orange Purple Purple 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 Purple Purple Purple Purple Red Red Red Red Purple Purple Purple Purple Purple
Purple Brown Brown Brown Purple Purple Purple Purple Red Purple Purple Red Purple Purple Purple Purple Purple
Purple Brown Purple Brown Purple Purple Purple Purple Red Purple Purple Red Purple Orange Orange Orange Orange
Purple Brown Purple Brown Purple Purple Purple Purple Red Red Red Red Purple Orange Purple Purple Orange
Purple Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Purple Purple Orange
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange


Example 2
Input:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Brown Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple
Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Yellow Purple Purple Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Yellow Yellow Yellow 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 Green Green Purple Purple Purple Purple Green Green Green Green Purple
Purple Purple Purple Purple Green Green Purple Purple Purple Purple Green Green Green Green 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

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Brown Purple Purple Brown Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Purple Purple Purple Purple
Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Yellow Purple Purple Yellow Purple Orange Purple Purple Purple Purple Purple Purple Purple
Purple Purple Yellow Yellow Yellow Yellow 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 Green Green Purple Purple Purple Purple Green Green Green Green Purple
Purple Purple Purple Purple Green Green Purple Purple Purple Purple Green Green Green Green 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 3
Input:
Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Gray Purple Gray Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray 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 Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Gray 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

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Gray Purple Gray Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray 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 Orange Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Gray Gray Orange Orange Orange Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Gray Gray Purple Orange Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Gray 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


Here is the input grid for the test example:
Input:
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 Red Red 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 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 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 Red Red Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Purple Purple Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red
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


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
Red Red Red 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 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 Purple Purple Purple Purple Orange 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 Purple Orange Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Purple Purple Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red
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
```
assistant