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
Orange Orange Purple Purple Black Black Black Black Black Black Brown Brown Brown Brown Purple Purple
Orange Orange Purple Purple Black Black Black Black Black Black Brown Brown Brown Brown Purple Purple
Black Black Red Red Blue Blue Blue Blue Black Black Black Black Black Black Purple Purple
Black Black Red Red Blue Blue Blue Blue Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black
Purple Purple Black Black Purple Purple Black Black Yellow Yellow Black Black Blue Blue Black Black
Purple Purple Black Black Purple Purple Black Black Yellow Yellow Black Black Blue Blue Black Black
Black Black Brown Brown 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 Blue Blue Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Gray Gray Black Black Black Black Brown Brown Blue Blue Black Black Black Black
Black Black Gray Gray Black Black Black Black Brown Brown Blue Blue 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
Orange Orange Purple Purple Black Black Black Black Black Black Brown Brown Brown Brown Purple Purple
Orange Orange Purple Purple Black Black Black Black Black Black Brown Brown Brown Brown Purple Purple
Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Purple Purple
Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black
Purple Purple Black Black Purple Purple Black Black Yellow Yellow Black Black Blue Blue Black Black
Purple Purple Black Black Purple Purple Black Black Yellow Yellow Black Black Blue Blue Black Black
Black Black Brown Brown 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 Blue Blue Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Gray Gray Black Black Black Black Brown Brown Blue Blue Black Black Black Black
Black Black Gray Gray Black Black Black Black Brown Brown Blue Blue Black Black Black Black


Example 2
Input:
Black Black Blue Blue Black Black Black Black Brown Brown Black Black Black Black
Black Black Blue Blue Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black Purple Purple
Black Black Black Black Brown Brown Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Brown Brown Green Green Blue Blue Black Black
Black Black Black Black Black Black Brown Brown Green Green Blue Blue Black Black
Blue Blue Black Black Black Black Black Black Black Black Red Red Yellow Yellow
Blue Blue Black Black Black Black Black Black Black Black Red Red Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange
Yellow Yellow Black Black Black Black Orange Orange Black Black Black Black Orange Orange
Yellow Yellow Black Black Black Black Orange Orange Black Black Black Black Orange Orange
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 Brown Brown

Output:
Black Black Blue Blue Black Black Black Black Brown Brown Black Black Black Black
Black Black Blue Blue Black Black Black Black Brown Brown Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Black Black Black Purple Purple
Black Black Black Black Brown Brown Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Brown Brown Green Green Blue Blue Black Black
Black Black Black Black Black Black Brown Brown Green Green Blue Blue Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Blue Blue Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange
Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange
Yellow Yellow Black Black Black Black Orange Orange Black Black Black Black Orange Orange
Yellow Yellow Black Black Black Black Orange Orange Black Black Black Black Orange Orange
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 Brown Brown


Example 3
Input:
Blue Blue Green Green Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Blue Blue Green Green Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Red Red Black Black Purple Purple
Blue Blue Black Black Black Black Black Black Black Black Black Black Red Red Black Black Purple Purple
Black Black Red Red Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange
Black Black Red Red Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange
Purple Purple Black Black Blue Blue Gray Gray Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Blue Blue Gray Gray Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Brown Brown Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Purple Purple Brown Brown Black Black Black Black Orange Orange Black Black Black Black
Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black

Output:
Blue Blue Green Green Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Blue Blue Green Green Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple
Blue Blue 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 Orange Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Orange Orange
Purple Purple Black Black Blue Blue Gray Gray Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Blue Blue Gray Gray Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Brown Brown Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Purple Purple Brown Brown Black Black Black Black Orange Orange Black Black Black Black
Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black


Here is the input grid for the test example:
Input:
Black Black Black Black Black Black Black Black Gray Gray Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Orange Orange Black Black Black Black Black Black
Black Black Gray Gray Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black
Black Black Gray Gray Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Brown Brown Black Black Red Red Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Blue Blue Green Green
Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Blue Blue Green Green
Orange Orange Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black
Black Black Gray Gray Black Black Green Green Black Black Gray Gray Green Green Black Black Black Black
Black Black Gray Gray Black Black Green Green Black Black Gray Gray Green Green Black Black Black Black
Blue Blue Black Black Red Red Black Black Black Black Black Black Purple Purple Black Black Green Green
Blue Blue Black Black Red Red Black Black Black Black Black Black Purple Purple Black Black Green Green
Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple


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 Gray Gray Orange Orange Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Orange Orange Black Black Black Black Black Black
Black Black Gray Gray Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black Black
Black Black Gray Gray Black Black Orange Orange Black Black Orange Orange 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 Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Blue Blue Green Green
Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Blue Blue Green Green
Orange Orange Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Gray Gray Blue Blue Black Black Black Black Black Black Black Black
Black Black Gray Gray Black Black Green Green Black Black Gray Gray Green Green Black Black Black Black
Black Black Gray Gray Black Black Green Green Black Black Gray Gray Green Green Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Green Green
Blue Blue Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Green Green
Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Purple Purple
```
assistant