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 Purple Purple
Black Black Black Blue Blue Blue Purple Black Purple Purple
Brown Brown Black Blue Blue Blue Blue Black Purple Purple
Brown Brown Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Red Red Red Black
Brown Purple Black Black Black Black Red Purple Red Black
Black Black Black Black Black Black Red Red Red Black
Gray Gray Gray Gray Black Black Red Red Red Black
Gray Purple Gray Gray Black Black Black Black Black Black
Gray Gray Gray Gray Black Black Black Black Black Black

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


Example 2
Input:
Black Black Black Black Black Black Black Black Black Purple
Black Black Black Black Black Black Black Pink Purple Pink
Pink Pink Pink Pink Black Black Black Pink Pink Pink
Purple Pink Pink 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 Black Black
Black Black Black Black Black Brown Purple Brown Brown Black
Black Black Black Black Black Brown Brown Brown Brown Black

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


Example 3
Input:
Gray Purple Gray Gray Black Black Black Black Black Purple
Gray Gray Gray Gray Black Black Black Black Black Black
Gray Gray Gray Gray Black Green Green Black Black Black
Gray Gray Gray Gray Black Green Green Black Black Black
Black Black Black Black Black Purple Green Black Black Black
Black Black Black Black Black Green Green Black Black Black
Black Black Black Black Black Black Black Black Black Black
Black Red Red Black Black Black Black Black Black Black
Black Red Red Black Black Black Black Green Green Green
Black Purple Red Black Black Black Black Purple Green Green

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


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