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 Black Purple Purple Purple Purple Purple Orange Purple Purple Purple Purple Purple Purple
Black Black Purple Black Black Black Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple
Black Black Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple
Purple Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple
Black Black Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple Black Purple Purple
Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Purple
Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple
Black Black Purple Purple Black Green Black Black Purple Purple Purple Purple Purple Purple Black Black Purple Purple
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Purple Purple Black Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Purple Black Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Black Purple Purple Black Black Purple Purple Purple
Black Black Black Black Black Purple Black Purple Purple Black Purple Purple Purple Black Black Purple Purple Purple
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Purple Purple Purple Purple Black Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Black Black
Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Purple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Black Black Purple Purple Purple Purple Purple
Purple Purple Purple Purple Black Purple Purple Black Black Purple Purple Black Black Purple Purple Purple Purple Purple
Black Black Black Purple Black Purple Purple Purple Purple Black Black Black Black Black Black Black Purple Purple
Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black 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 Purple Black Purple Purple Purple Purple Purple Orange Purple Purple Purple Purple Purple Purple
Black Black Purple Black Black Black Purple Purple Purple Green Orange Green Orange Green Purple Purple Purple Purple
Black Black Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple
Purple Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple
Black Black Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple Black Purple Purple
Black Black Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Purple
Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Purple Purple Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple
Black Black Purple Purple Orange Green Orange Green Purple Purple Purple Purple Purple Purple Black Black Purple Purple
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Purple Purple Black Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Purple Black Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Black Purple Purple Black Black Purple Purple Purple
Black Black Black Black Black Purple Black Purple Purple Black Purple Purple Purple Black Black Purple Purple Purple
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Purple Purple Purple Purple Black Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Black Black
Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black
Purple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Black Black Purple Purple Purple Purple Purple
Purple Purple Purple Purple Black Purple Purple Black Black Purple Purple Black Black Purple Purple Purple Purple Purple
Black Black Black Purple Black Purple Purple Purple Purple Black Black Black Black Black Black Black Purple Purple
Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Purple Purple


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

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


Example 3
Input:
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 Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Black Purple
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple
Black Black Black Black Brown Black Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Black Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Black Purple Purple Black Black Purple Black Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Black Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple
Black Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple
Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black Black

Output:
Red Brown Red Brown Red Brown Red Brown Red Brown Red Brown Red Brown Red Brown Purple Purple Purple Purple Purple
Brown Red Brown Red Brown Red Brown Red Purple Purple Purple Purple Brown Red Brown Red Purple Purple Purple Black Purple
Red Brown Red Brown Red Brown Purple Purple Purple Purple Purple Purple Purple Purple Red Brown Red Purple Purple Purple Purple
Brown Red Brown Red Brown Red Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Red Brown Red Brown Red Brown Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Black Purple Purple Black Black Purple Brown Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Black Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Black
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple
Black Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple
Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black Black


Here is the input grid for the test example:
Input:
Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple
Purple Purple Purple Black Black Purple Purple Black Black Purple Purple Purple Black Black Black Purple Purple Purple Purple
Purple Purple Purple Black Black Purple Purple Purple Black Purple Purple Purple Purple Black Black Black Black Black Purple
Purple Purple Purple Black Purple Purple Black Purple Black Black Purple Purple Purple Black Black Black Black Black Purple
Purple Purple Purple Purple Purple Black Purple Purple Black Purple Purple Purple Black Black Black Black Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black
Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple
Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Black Black
Purple Black Black Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Black Black
Purple Black Black Purple Purple Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple
Purple Black Black Black Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Black Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple
Gray Purple Purple Black Purple Black Purple Purple Purple Purple Black Black Black Black Black Black Purple Black Black
Purple Purple Purple Black Purple Black Purple Purple Purple Purple Black Black Black Black Black Black Purple Black Black
Purple Purple Purple Purple Purple Yellow Black Purple Purple Purple Black Black Purple Purple Purple Black Purple Black Black
Black Black Black Purple Purple Purple Black Purple Purple Purple Black Black Purple Purple Purple Black Purple Purple Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple 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 Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple
Purple Purple Purple Black Black Purple Purple Black Black Purple Purple Purple Black Black Black Purple Purple Purple Purple
Purple Purple Purple Black Black Purple Purple Purple Black Purple Purple Purple Purple Black Black Black Black Black Purple
Purple Purple Purple Black Purple Purple Black Purple Black Black Purple Purple Purple Black Black Black Black Black Purple
Purple Purple Purple Purple Purple Black Purple Purple Black Purple Purple Purple Black Black Black Black Black Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple Black
Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple
Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Black Black
Purple Black Black Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Black Black
Purple Black Black Purple Purple Black Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple
Purple Black Black Black Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Gray Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple
Gray Purple Purple Black Purple Yellow Purple Purple Purple Purple Black Black Black Black Black Black Purple Black Black
Purple Purple Purple Black Purple Gray Purple Purple Purple Purple Black Black Black Black Black Black Purple Black Black
Purple Purple Purple Purple Purple Yellow Gray Purple Purple Purple Black Black Purple Purple Purple Black Purple Black Black
Black Black Black Purple Purple Purple Yellow Purple Purple Purple Black Black Purple Purple Purple Black Purple Purple Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
```
assistant