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 Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Black Orange Orange Orange Orange Orange Black Black Blue Blue Blue Blue Blue Black Black Black
Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black
Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Black Black Black
Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Black Black Black
Red Red Red Red Red Red Black Black Black Black Gray Gray Gray Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black
Black Black Orange Orange Orange Orange Black Black Black Black Black Black Brown Brown Brown Brown Brown
Black Black Orange Orange Orange Orange Black Black Black Black Black Black Brown Brown Brown Brown Brown
Black Black Orange Orange Orange Orange Black Black Black Black Black Black Brown Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown

Output:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue
Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


Example 2
Input:
Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown
Blue Blue Blue Blue Blue Blue Black Black Brown Brown Brown Brown Brown Brown Brown
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Black Black Green Gray Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Green Gray Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Green Gray Gray Gray Gray Gray Black
Black Black Black Orange Orange Orange Black Black Green Green Green Green Black Black Black
Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black
Black Black Black 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

Output:
Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray
Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray
Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray
Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray
Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray
Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray


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 Black 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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Purple Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Purple Black
Black Green Green Green Green Green Green Green Black Black Black Purple Purple Purple Purple Black
Black Green Green Green Green Green Green Green Black Black Black Purple Purple Purple Purple Black
Black Green Green Green Green Green Green Green 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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
Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Gray Gray Gray
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Gray Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Gray Gray 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 Blue Blue Blue
Black Black Black Red Red Red Red Red Red Red Black Blue Blue Blue
Black Black Black Red Red Red Red Red Red Red Black Blue Blue Blue
Black Black Black Red Red Red Red Red Red Red Black Blue Blue Blue
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:

```
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
```
assistant