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
Gray Gray Black Black Black Purple Blue Red Black
Orange Blue Black Black Black Red Yellow Brown Black
Pink Brown Black Black Purple Black Black Black Black
Black Black Black Black Brown Black Black Black Black
Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Pink Black Black
Black Black Black Black Black Black Black Black Black

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


Example 2
Input:
Black Black Purple Gray Red Black Black Black
Black Green Purple Purple Red Purple Brown Black
Black Black Red Blue Brown Pink Pink Black
Black Black Black Black Black Gray Brown Black
Black Black Black Black Black Orange Purple Black
Black Black Black Black Black Black Black Black

Output:
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 Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple


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

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


Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Black Black
Black Brown Black Black Black Black Black Black Black Black
Black Brown Black Black Black Black Black Black Black Black
Black Brown Black Black Black Black Black Black 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 Black Black Black
Black Black Green Black Black Black Black Black Black Black
Black Black Blue 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:

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