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:
Purple Purple Black Black Black Black 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
Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Purple Purple

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


Example 2
Input:
Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green

Output:
Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red
Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red
Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green
Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green
Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red
Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red
Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green
Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green
Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red
Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red
Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green
Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green
Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red
Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red
Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green
Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green
Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red
Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red
Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green
Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green Red Red Green Green


Example 3
Input:
Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown

Output:
Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red
Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red
Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown
Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown
Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red
Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red
Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown
Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown
Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red
Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red
Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown
Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown
Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red
Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red
Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown
Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown
Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red
Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red
Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown
Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown Red Red Brown Brown


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


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 Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown
Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown
Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray
Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray
Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown
Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown
Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray
Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray
Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown
Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown
Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray
Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray
Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown
Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown
Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray
Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray
Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown
Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown
Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray
Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray Brown Brown Gray Gray
```
assistant