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 Gray Gray Black Black Black Black Green Green Black Black Blue Blue Blue Blue Green Green Black Black
Black Black Gray Gray Black Black Black Black Green Green Black Black Blue Blue Blue Blue Green Green Black Black
Black Black Black Black Blue Blue Gray Gray Black Black Gray Gray Black Black Green Green Blue Blue Blue Blue
Black Black Black Black Blue Blue Gray Gray Black Black Gray Gray Black Black Green Green Blue Blue Blue Blue
Blue Blue Green Green Gray Gray Green Green Gray Gray Black Black Gray Gray Gray Gray Blue Blue Gray Gray
Blue Blue Green Green Gray Gray Green Green Gray Gray Black Black Gray Gray Gray Gray Blue Blue Gray Gray
Green Green Gray Gray Blue Blue Gray Gray Blue Blue Green Green Black Black Gray Gray Blue Blue Blue Blue
Green Green Gray Gray Blue Blue Gray Gray Blue Blue Green Green Black Black Gray Gray Blue Blue Blue Blue
Blue Blue Black Black Black Black Green Green Black Black Gray Gray Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Green Green Black Black Gray Gray Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Black Black Gray Gray Black Black Black Black Black Black
Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Black Black Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Blue Blue Gray Gray Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Green Green Blue Blue Gray Gray Black Black Black Black Blue Blue
Blue Blue Gray Gray Black Black Blue Blue Black Black Black Black Black Black Gray Gray Black Black Black Black
Blue Blue Gray Gray Black Black Blue Blue Black Black Black Black Black Black Gray Gray Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Green Green Black Black Black Black Green Green
Black Black Black Black Blue Blue Black Black Black Black Black Black Green Green Black Black Black Black Green Green
Gray Gray Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black
Gray Gray Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
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 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 Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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
Black Black Black Black Black Black 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 Green Green
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 Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black


Example 2
Input:
Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Black Black Black Black Purple Purple
Black Black Black Black Purple Purple Black Black Black Black Black Black Purple Purple Black Black Black Black Purple Purple
Gray Gray Black Black Purple Purple Red Red Black Black Gray Gray Black Black Purple Purple Purple Purple Black Black
Gray Gray Black Black Purple Purple Red Red Black Black Gray Gray Black Black Purple Purple Purple Purple Black Black
Red Red Purple Purple Red Red Black Black Black Black Red Red Purple Purple Purple Purple Gray Gray Gray Gray
Red Red Purple Purple Red Red Black Black Black Black Red Red Purple Purple Purple Purple Gray Gray Gray Gray
Purple Purple Black Black Red Red Black Black Red Red Brown Brown Gray Gray Purple Purple Brown Brown Brown Brown
Purple Purple Black Black Red Red Black Black Red Red Brown Brown Gray Gray Purple Purple Brown Brown Brown Brown
Purple Purple Gray Gray Purple Purple Brown Brown Black Black Gray Gray Black Black Black Black Purple Purple Brown Brown
Purple Purple Gray Gray Purple Purple Brown Brown Black Black Gray Gray Black Black Black Black Purple Purple Brown Brown
Gray Gray Red Red Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple
Gray Gray Red Red Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple
Purple Purple Black Black Purple Purple Black Black Brown Brown Brown Brown Purple Purple Black Black Black Black Black Black
Purple Purple Black Black Purple Purple Black Black Brown Brown Brown Brown Purple Purple Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Brown Brown Black Black Black Black Black Black Purple Purple Black Black Gray Gray
Purple Purple Purple Purple Purple Purple Brown Brown Black Black Black Black Black Black Purple Purple Black Black Gray Gray
Black Black Black Black Red Red Gray Gray Red Red Black Black Black Black Red Red Black Black Purple Purple
Black Black Black Black Red Red Gray Gray Red Red Black Black Black Black Red Red Black Black Purple Purple
Gray Gray Black Black Purple Purple Black Black Purple Purple Red Red Gray Gray Red Red Black Black Brown Brown
Gray Gray Black Black Purple Purple Black Black Purple Purple Red Red Gray Gray Red Red Black Black Brown Brown

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
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 Gray Gray
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 Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Brown Brown


Example 3
Input:
Black Black Black Black Purple Purple Black Black Green Green Black Black Red Red Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Green Green Black Black Red Red Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown
Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Red Red Brown Brown
Green Green Green Green Black Black Red Red Red Red Black Black Black Black Purple Purple Black Black Brown Brown
Green Green Green Green Black Black Red Red Red Red Black Black Black Black Purple Purple Black Black Brown Brown
Brown Brown Black Black Black Black Purple Purple Black Black Black Black Purple Purple Brown Brown Black Black Red Red
Brown Brown Black Black Black Black Purple Purple Black Black Black Black Purple Purple Brown Brown Black Black Red Red
Red Red Purple Purple Red Red Black Black Red Red Brown Brown Brown Brown Purple Purple Black Black Red Red
Red Red Purple Purple Red Red Black Black Red Red Brown Brown Brown Brown Purple Purple Black Black Red Red
Black Black Purple Purple Green Green Green Green Black Black Black Black Black Black Purple Purple Black Black Red Red
Black Black Purple Purple Green Green Green Green Black Black Black Black Black Black Purple Purple Black Black Red Red
Green Green Red Red Brown Brown Red Red Black Black Black Black Green Green Red Red Black Black Green Green
Green Green Red Red Brown Brown Red Red Black Black Black Black Green Green Red Red Black Black Green Green
Brown Brown Black Black Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Red Red
Brown Brown Black Black Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Red Red
Black Black Black Black Green Green Black Black Black Black Brown Brown Black Black Red Red Black Black Purple Purple
Black Black Black Black Green Green Black Black Black Black Brown Brown Black Black Red Red Black Black Purple Purple
Brown Brown Black Black Brown Brown Green Green Black Black Black Black Purple Purple Red Red Black Black Black Black
Brown Brown Black Black Brown Brown Green Green Black Black Black Black Purple Purple Red Red Black Black Black Black

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
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 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


Here is the input grid for the test example:
Input:
Yellow Yellow Black Black Black Black Orange Orange Yellow Yellow Black Black Orange Orange Black Black Black Black Black Black
Yellow Yellow Black Black Black Black Orange Orange Yellow Yellow Black Black Orange Orange Black Black Black Black Black Black
Black Black Yellow Yellow Orange Orange Orange Orange Black Black Orange Orange Black Black Yellow Yellow Orange Orange Black Black
Black Black Yellow Yellow Orange Orange Orange Orange Black Black Orange Orange Black Black Yellow Yellow Orange Orange Black Black
Orange Orange Black Black Black Black Yellow Yellow Black Black Orange Orange Yellow Yellow Black Black Black Black Black Black
Orange Orange Black Black Black Black Yellow Yellow Black Black Orange Orange Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Yellow Black Black Orange Orange Black Black Orange Orange Black Black Yellow Yellow
Black Black Black Black Yellow Yellow Yellow Yellow Black Black Orange Orange Black Black Orange Orange Black Black Yellow Yellow
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Orange Orange Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Orange Orange Yellow Yellow Yellow Yellow
Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange Yellow Yellow Black Black Black Black
Orange Orange Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black
Orange Orange Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black
Orange Orange Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow
Orange Orange Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Yellow Yellow Black Black Yellow Yellow Black Black Orange Orange Black Black Black Black Black Black Orange Orange
Black Black Yellow Yellow Black Black Yellow Yellow Black Black Orange Orange Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Orange Orange Orange Orange Yellow Yellow Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Orange Orange Orange Orange Yellow Yellow Orange Orange 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant