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 Gray Purple Gray Black Black Black Black
Black Black Gray Purple Purple Purple Gray Black Black Black
Black Gray Purple Purple Purple Purple Purple Gray Black Black
Gray Purple Purple Purple Purple Purple Purple Purple Gray Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray
Gray Purple Purple Purple Purple Purple Purple Purple Gray Black
Black Gray Purple Purple Purple Purple Purple Gray Black Black
Black Black Gray Purple Purple Purple Gray Black Black Black
Black Black Black Gray Purple Gray Black Black Black Black
Black Black Black Black Gray Black Black Black Black Black

Output:
Purple Purple Purple Gray Purple Gray Purple Purple Purple Purple
Purple Purple Gray Purple Purple Purple Gray Purple Purple Purple
Purple Gray Purple Purple Purple Purple Purple Gray Purple Purple
Gray Purple Purple Purple Purple Purple Purple Purple Gray Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray
Gray Purple Purple Purple Purple Purple Purple Purple Gray Purple
Purple Gray Purple Purple Purple Purple Purple Gray Purple Purple
Purple Purple Gray Purple Purple Purple Gray Purple Purple Purple
Purple Purple Purple Gray Purple Gray Purple Purple Purple Purple
Purple Purple Purple Purple Gray Purple Purple Purple Purple Purple


Example 2
Input:
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Blue Purple Blue Black Black Black Black
Black Black Blue Purple Purple Purple Blue Black Black Black
Black Blue Purple Purple Purple Purple Purple Blue Black Black
Blue Purple Purple Purple Purple Purple Purple Purple Blue Black
Black Blue Purple Purple Purple Purple Purple Blue Black Black
Black Black Blue Purple Purple Purple Blue Black Black Black
Black Black Black Blue Purple Blue Black Black Black Black
Black Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black

Output:
Purple Purple Purple Purple Blue Purple Purple Purple Purple Purple
Purple Purple Purple Blue Purple Blue Purple Purple Purple Purple
Purple Purple Blue Purple Purple Purple Blue Purple Purple Purple
Purple Blue Purple Purple Purple Purple Purple Blue Purple Purple
Blue Purple Purple Purple Purple Purple Purple Purple Blue Purple
Purple Blue Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Blue Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Blue Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Blue Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


Example 3
Input:
Black Black Black Black Purple Black Black Black Black Black
Black Black Black Purple Red Purple Black Black Black Black
Black Black Purple Red Red Red Purple Black Black Black
Black Purple Red Red Red Red Red Purple Black Black
Purple Red Red Red Red Red Red Red Purple Black
Black Purple Red Red Red Red Red Purple Black Black
Black Black Purple Red Red Red Purple Black Black Black
Black Black Black Purple Red Purple Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Red Purple Purple Purple Purple Purple
Purple Purple Purple Red Red Red Purple Purple Purple Purple
Purple Purple Red Red Red Red Red Purple Purple Purple
Purple Red Red Red Red Red Red Red Purple Purple
Purple Purple Red Red Red Red Red Purple Purple Purple
Purple Purple Purple Red Red Red Purple Purple Purple Purple
Purple Purple Purple Purple Red 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


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


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 Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Green Purple Purple Purple Purple Purple
Purple Purple Purple Green Green Green Purple Purple Purple Purple
Purple Purple Green Green Green Green Green Purple Purple Purple
Purple Purple Purple Green Green Green Purple Purple Purple Purple
Purple Purple Purple Purple Green 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
```
assistant