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

Output:
Black Black Black Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Purple Purple Black Purple Black Black
Black Black Purple Black Black Black Black Black Black Purple Black Purple Purple
Black Black Black Purple Purple Purple Black Black Black Black Black Black Purple
Black Black Black Black Black Purple Black Black Black Black Purple Black Black
Black Purple Black Black Purple Black Black Black Black Black Purple Black Black
Purple Purple Purple Black Purple Black Black Purple Purple Black Black Black Purple
Purple Purple Purple Black Purple Black Purple Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Black Purple Black Purple Black Purple Purple Black Black Black Black Black
Black Black Black Purple Black Purple Black Purple Purple Black Purple Black Black
Black Black Black Black Black Black Black Black Black Black Purple Black Black
Purple Black Black Black Black Black Black Purple Black Black Black Purple Black


Example 2
Input:
Black Black Black Black Purple Orange Black Blue Black Black Black Purple
Black Black Black Green Black Yellow Purple Black Blue Black Black Black
Black Orange Purple Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Green Black Black Black Black Black Black
Red Black Black Black Orange Black Pink Black Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Pink
Purple Orange Green Pink Black Black Black Black Purple Black Red Red
Black Pink Black Black Black Black Black Purple Purple Orange Pink Black
Black Black Blue Black Black Purple Black Pink Black Black Black Black
Purple Black Black Purple Yellow Black Blue Orange Purple Black Black Yellow
Black Purple Black Black Black Black Black Black Purple Black Yellow Orange
Orange Black Blue Black Black Black Black Black Black Black Black Purple

Output:
Black Black Black Black Purple Purple Black Purple Black Black Black Purple
Black Black Black Purple Black Purple Purple Black Purple Black Black Black
Black Purple Purple Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black
Purple Black Black Black Purple Black Purple Black Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple
Purple Purple Purple Purple Black Black Black Black Purple Black Purple Purple
Black Purple Black Black Black Black Black Purple Purple Purple Purple Black
Black Black Purple Black Black Purple Black Purple Black Black Black Black
Purple Black Black Purple Purple Black Purple Purple Purple Black Black Purple
Black Purple Black Black Black Black Black Black Purple Black Purple Purple
Purple Black Purple Black Black Black Black Black Black Black Black Purple


Example 3
Input:
Purple Black Orange Black Orange Black Blue Black Black Black Black Red Yellow Purple
Black Black Red Black Black Black Black Black Blue Black Black Black Black Purple
Purple Black Black Black Green Black Black Black Black Black Black Black Purple Black
Black Black Red Purple Black Purple Black Black Orange Yellow Black Black Black Black
Black Purple Black Black Black Purple Black Black Black Orange Black Black Black Purple
Black Black Blue Pink Black Black Purple Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black Purple Purple Black Black
Black Black Black Purple Black Black Black Black Black Pink Black Black Black Purple
Black Black Purple Orange Black Black Black Black Black Black Black Red Black Black
Black Black Black Black Black Black Purple Black Pink Purple Black Black Purple Black
Orange Black Green Black Red Black Black Purple Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Black Purple Black Black Black Black

Output:
Purple Black Purple Black Purple Black Purple Black Black Black Black Purple Purple Purple
Black Black Purple Black Black Black Black Black Purple Black Black Black Black Purple
Purple Black Black Black Purple Black Black Black Black Black Black Black Purple Black
Black Black Purple Purple Black Purple Black Black Purple Purple Black Black Black Black
Black Purple Black Black Black Purple Black Black Black Purple Black Black Black Purple
Black Black Purple Purple Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black Purple Purple Black Black
Black Black Black Purple Black Black Black Black Black Purple Black Black Black Purple
Black Black Purple Purple Black Black Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Purple Black Purple Purple Black Black Purple Black
Purple Black Purple Black Purple Black Black Purple Black Black Black Black Black Purple
Black Black Black Black Black Black Black Black Black Purple Black Black Black Black


Here is the input grid for the test example:
Input:
Black Purple Green Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Purple Black Purple Black Black Green Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black Blue Black
Purple Black Black Black Pink Black Black Black Black Yellow Black Black Black Black
Black Black Black Black Black Black Purple Black Pink Black Black Black Black Blue
Black Yellow Black Black Purple Purple Black Purple Purple Purple Black Black Purple Black
Purple Black Green Purple Black Black Purple Yellow Orange Green Black Black Black Yellow
Green Black Purple Black Black Black Black Red Black Black Black Blue Black Black
Purple Black Black Black Purple Black Black Black Black Black Purple Black Black Black
Black Black Black Blue Purple Black Black Black Purple Black Black Black Black Black
Black Black Green Black Black Black Black Black Black Black Black Black Black Black
Pink Black Black Black Purple Black Black Blue Purple Green Purple Pink Black Black
Pink Black Black Black Black Black Black Black Black Black Black Black Black Purple
Black Black Black Red Black Black Purple Black Blue 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 Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Purple Black Purple Black Black Purple Black Black Black
Black Black Black Black Black Purple Black Black Black Black Black Black Purple Black
Purple Black Black Black Purple Black Black Black Black Purple Black Black Black Black
Black Black Black Black Black Black Purple Black Purple Black Black Black Black Purple
Black Purple Black Black Purple Purple Black Purple Purple Purple Black Black Purple Black
Purple Black Purple Purple Black Black Purple Purple Purple Purple Black Black Black Purple
Purple Black Purple Black Black Black Black Purple Black Black Black Purple Black Black
Purple Black Black Black Purple Black Black Black Black Black Purple Black Black Black
Black Black Black Purple Purple Black Black Black Purple Black Black Black Black Black
Black Black Purple Black Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Purple Black Black Purple Purple Purple Purple Purple Black Black
Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple
Black Black Black Purple Black Black Purple Black Purple Black Black Black Black Black
```
assistant