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 Purple Purple Purple Purple Purple Black Purple Black Black Black
Purple Black Purple Black Purple Purple Purple Black Black Black Black
Black Black Purple Black Black Black Black Black Purple Black Purple
Purple Purple Purple Purple Black Purple 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 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

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


Example 2
Input:
Orange Black Orange Orange Black Orange Orange Black Black
Orange Black Black Black Orange Black Black Black Black
Black Orange Black Black Orange Black Black Black Orange
Black Orange Black Black Orange Black Black Orange Black
Black Orange Orange Orange Black Orange Orange Orange Orange
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

Output:
Orange Black Orange Orange Black Orange Orange Black Black
Orange Black Black Black Orange Black Black Black Black
Black Orange Black Black Orange Black Black Black Orange
Black Orange Black Black Orange Black Black Orange Black
Black Orange Orange Orange Black Orange Orange Orange Orange
Black Black Orange Orange Black Orange Orange Black Orange
Black Black Black Black Orange Black Black Black Orange
Orange Black Black Black Orange Black Black Orange Black
Black Orange Black Black Orange Black Black Orange Black
Orange Orange Orange Orange Black Orange Orange Orange Black


Example 3
Input:
Gray Gray Gray Gray Gray Gray Black Gray Gray Gray
Gray Black Gray Gray Black Gray Gray Gray Black Gray
Gray Black Black Black Black Gray Gray Gray Black Gray
Gray Gray Gray Gray Gray Gray Black Black Gray Gray
Gray Black Gray Gray Black Black Gray Black Black Gray
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

Output:
Gray Gray Gray Gray Gray Gray Black Gray Gray Gray
Gray Black Gray Gray Black Gray Gray Gray Black Gray
Gray Black Black Black Black Gray Gray Gray Black Gray
Gray Gray Gray Gray Gray Gray Black Black Gray Gray
Gray Black Gray Gray Black Black Gray Black Black Gray
Gray Gray Gray Black Gray Gray Gray Gray Gray Gray
Gray Black Gray Gray Gray Black Gray Gray Black Gray
Gray Black Gray Gray Gray Black Black Black Black Gray
Gray Gray Black Black Gray Gray Gray Gray Gray Gray
Gray Black Black Gray Black Black Gray Gray Black Gray


Here is the input grid for the test example:
Input:
Black Black Black Purple Black Black Black Black Purple Purple
Purple Purple Purple Black Purple Black Black Black Black Purple
Purple Black Purple Black Black Black Purple Black Black Black
Purple Black Purple Black Purple Black Purple Purple Black Black
Black Purple Black Black Purple Purple Purple 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 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


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 Purple Black Black Black Black Purple Purple
Purple Purple Purple Black Purple Black Black Black Black Purple
Purple Black Purple Black Black Black Purple Black Black Black
Purple Black Purple Black Purple Black Purple Purple Black Black
Black Purple Black Black Purple Purple Purple Black Purple Black
Black Purple Black Black Purple Purple Purple Black Purple Black
Purple Black Purple Black Purple Black Purple Purple Black Black
Purple Black Purple Black Black Black Purple Black Black Black
Purple Purple Purple Black Purple Black Black Black Black Purple
Black Black Black Purple Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Black Black Black
```
assistant