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 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
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 Red Red Red Red Red Red Yellow Yellow Black Black Black Black
Black Black Black Black Red Red Red Red Red Red Yellow Yellow Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Green Green Green Green Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Green Green Green Green Black Black Black Black
Black Black 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 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 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 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 Black Red Red Red Red Red Red Yellow Yellow Black Black
Black Black Red Red Red Red Red Red Yellow Yellow Black Black
Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow
Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow
Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green
Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green
Black Black Black Black Black Black Black Black Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black


Example 2
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 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 Yellow Yellow Brown Brown Brown Brown Black Black Black Black
Black Black Purple Purple Yellow Yellow Brown Brown Brown Brown Black Black Black Black
Black Black Blue Blue Gray Gray Gray Gray Brown Brown Black Black Black Black
Black Black Blue Blue Gray Gray Gray Gray Brown Brown Black Black Black Black
Black Black Blue Blue Gray Gray Gray Gray Brown Brown Black Black Black Black
Black Black Blue Blue Gray Gray Gray Gray Brown Brown Black Black Black Black
Black Black Purple Purple Yellow Yellow Brown Brown Brown Brown Black Black Black Black
Black Black Purple Purple Yellow Yellow Brown Brown Brown 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 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 Black Purple Purple Yellow Yellow Brown Brown Brown Brown Black Black
Black Black Purple Purple Yellow Yellow Brown Brown Brown Brown Black Black
Purple Purple Purple Purple Yellow Yellow Brown Brown Brown Brown Brown Brown
Purple Purple Purple Purple Yellow Yellow Brown Brown Brown Brown Brown Brown
Blue Blue Blue Blue Gray Gray Gray Gray Brown Brown Brown Brown
Blue Blue Blue Blue Gray Gray Gray Gray Brown Brown Brown Brown
Blue Blue Blue Blue Gray Gray Gray Gray Brown Brown Brown Brown
Blue Blue Blue Blue Gray Gray Gray Gray Brown Brown Brown Brown
Purple Purple Purple Purple Yellow Yellow Brown Brown Brown Brown Brown Brown
Purple Purple Purple Purple Yellow Yellow Brown Brown Brown Brown Brown Brown
Black Black Purple Purple Yellow Yellow Brown Brown Brown Brown Black Black
Black Black Purple Purple Yellow Yellow Brown Brown Brown Brown Black Black


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 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 Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue 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 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 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 Black Blue Blue Blue Blue Black Black
Black Black Blue Blue Blue Blue Black Black
Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Black Black Black Black
Blue Blue Blue Blue Black Black Black Black
Black Black Blue Blue Black Black Black Black
Black Black Blue Blue 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 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
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 Gray Gray Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Gray Gray Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Purple Purple Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Purple Purple Blue Blue Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black 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 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 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 Yellow Yellow Gray Gray Yellow Yellow Black Black
Black Black Yellow Yellow Gray Gray Yellow Yellow Black Black
Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow
Blue Blue Blue Blue Purple Purple Blue Blue Blue Blue
Blue Blue Blue Blue Purple Purple Blue Blue Blue Blue
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Purple Purple Purple Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Purple Purple Black Black
```
assistant