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 Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Black Black Black Purple Yellow Yellow Yellow Yellow Yellow Purple
Purple Brown Brown Purple Black Black Black Purple Yellow Yellow Yellow Yellow Yellow Purple
Purple Brown Brown Purple Black Black Black Purple Yellow Yellow Yellow Yellow Yellow Purple
Purple Purple Purple Purple Black Black Black Purple Yellow Yellow Yellow Yellow Yellow Purple
Black Black 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
Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black
Purple Orange Orange Orange Orange Orange Purple Black Purple Blue Blue Blue Purple Black
Purple Orange Orange Orange Orange Orange Purple Black Purple Blue Blue Blue Purple Black
Purple Orange Orange Orange Orange Orange Purple Black Purple Purple Purple Purple Purple 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

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Purple Brown Brown Purple Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Purple Brown Brown Purple Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Purple Purple Purple Purple Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black
Purple Orange Orange Orange Orange Orange Purple Black Purple Blue Blue Blue Purple Black
Purple Orange Orange Orange Orange Orange Purple Black Purple Blue Blue Blue Purple Black
Purple Orange Orange Orange Orange Orange Purple Black Purple Purple Purple Purple Purple 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


Example 2
Input:
Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Black Black
Purple Green Green Green Purple Black Black Black Purple Pink Pink Pink Purple Black Black
Purple Green Green Green Purple Black Black Black Purple Pink Pink Pink Purple Black Black
Purple Green Green Green Purple Black Black Black Purple Purple Purple Purple Purple Black Black
Purple Green Green Green Purple Black Black Black Black Black Black Black Black Black Black
Purple Green Green Green Purple Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Purple Red Red Red Purple Black Black
Black Black Black Black Black Black Black Black Purple Red Red Red Purple Black Black
Black Purple Purple Purple Purple Black Black Black Purple Red Red Red Purple Black Black
Black Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Black Black
Black Purple Purple Purple Purple 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
Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black

Output:
Yellow Yellow Yellow Yellow Yellow Black Black Black Purple Purple Purple Purple Purple Black Black
Yellow Green Green Green Yellow Black Black Black Purple Pink Pink Pink Purple Black Black
Yellow Green Green Green Yellow Black Black Black Purple Pink Pink Pink Purple Black Black
Yellow Green Green Green Yellow Black Black Black Purple Purple Purple Purple Purple Black Black
Yellow Green Green Green Yellow Black Black Black Black Black Black Black Black Black Black
Yellow Green Green Green Yellow Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Purple Red Red Red Purple Black Black
Black Black Black Black Black Black Black Black Purple Red Red Red Purple Black Black
Black Purple Purple Purple Purple Black Black Black Purple Red Red Red Purple Black Black
Black Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Black Black
Black Purple Purple Purple Purple 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
Black Purple Purple Purple Purple Black Black 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 Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Purple Orange Orange Purple Black Purple Purple Purple Purple Black
Black Black Purple Orange Orange Purple Black Purple Blue Blue Purple Black
Black Black Purple Orange Orange Purple Black Purple Blue Blue Purple Black
Black Black Purple Orange Orange Purple Black Purple Blue Blue Purple Black
Black Black Purple Purple Purple Purple Black Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Black Black Black Black Black Black Black
Purple Green Green Green Purple Black Black Black Black Black Black Black
Purple Green Green Green Purple Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Black Black Black Black Black Black Black

Output:
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Black Black Yellow Orange Orange Yellow Black Purple Purple Purple Purple Black
Black Black Yellow Orange Orange Yellow Black Purple Blue Blue Purple Black
Black Black Yellow Orange Orange Yellow Black Purple Blue Blue Purple Black
Black Black Yellow Orange Orange Yellow Black Purple Blue Blue Purple Black
Black Black Yellow Yellow Yellow Yellow Black Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Black Black Black Black Black Black Black
Purple Green Green Green Purple Black Black Black Black Black Black Black
Purple Green Green Green Purple Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Purple Gray Gray Gray Gray Purple Black Black Black Black Black Black
Black Purple Gray Gray Gray Gray Purple Black Purple Purple Purple Purple Purple
Black Purple Gray Gray Gray Gray Purple Black Purple Red Red Red Purple
Black Purple Gray Gray Gray Gray Purple Black Purple Red Red Red Purple
Black Purple Gray Gray Gray Gray Purple Black Purple Red Red Red Purple
Black Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Black Black Purple Orange Orange Orange Orange Purple Black Black
Black Black Black Black Black Purple Orange Orange Orange Orange Purple Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple 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 Black Black Black Black Black Black Black Black Black Black Black
Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Black Yellow Gray Gray Gray Gray Yellow Black Black Black Black Black Black
Black Yellow Gray Gray Gray Gray Yellow Black Purple Purple Purple Purple Purple
Black Yellow Gray Gray Gray Gray Yellow Black Purple Red Red Red Purple
Black Yellow Gray Gray Gray Gray Yellow Black Purple Red Red Red Purple
Black Yellow Gray Gray Gray Gray Yellow Black Purple Red Red Red Purple
Black Yellow Yellow Yellow Yellow Yellow Yellow Black Purple Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black
Black Black Black Black Black Purple Orange Orange Orange Orange Purple Black Black
Black Black Black Black Black Purple Orange Orange Orange Orange Purple Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black
```
assistant