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 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 Orange Black Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Purple Purple Black Black Black Black Black
Black Black Black Purple Purple Purple Black Pink Black Black Orange
Black Black Black Purple Purple Purple Red Black Orange Black Black
Black Black Black Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black

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


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

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

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


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