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 Blue Black Black Black Purple
Black Black Yellow Yellow Yellow Yellow Purple Purple Purple Purple Brown
Black Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue
Black Black Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black
Black Black Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black
Black Black Brown Brown Brown Brown Blue Blue Blue Blue Black
Black Black Brown Brown Brown Brown Blue Blue Blue Blue Black
Black Black Brown Brown Brown Brown Blue Blue Blue Blue Black
Black Black Brown Brown Brown Brown Blue Blue Blue Blue Black

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


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

Output:
Yellow Yellow Yellow Yellow Red Red Red Red Black
Yellow Yellow Yellow Yellow Red Red Red Red Black
Yellow Yellow Yellow Yellow Red Red Red Red Black
Yellow Yellow Yellow Yellow Red Red Red Red Black
Yellow Yellow Yellow Yellow Red Red Red Red Black
Gray Gray Gray Gray Brown Brown Brown Brown Black
Gray Gray Gray Gray Brown Brown Brown Brown Black
Gray Gray Gray Gray Brown Brown Brown Brown Black
Gray Gray Gray Gray Brown Brown Brown Brown Black
Black Black Black Black Black Black Black Black Black


Example 3
Input:
Black Yellow Black Green Black Black Black
Black Black Black Black Black Black Black
Black Black Green Orange Black Black Black
Black Black Black Black Black Black Orange
Black Orange Black Black Black Black Black
Red Red Red Green Green Green Black
Red Red Red Green Green Green Black
Red Red Red Green Green Green Black
Orange Orange Orange Yellow Yellow Yellow Black
Orange Orange Orange Yellow Yellow Yellow Black
Orange Orange Orange Yellow Yellow Yellow 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
Red Red Red Green Green Green Black
Red Red Red Green Green Green Black
Red Red Red Green Green Green Black
Red Red Red Green Green Green Black
Orange Orange Orange Yellow Yellow Yellow Black
Orange Orange Orange Yellow Yellow Yellow Black
Orange Orange Orange Yellow Yellow Yellow Black


Here is the input grid for the test example:
Input:
Black Yellow Black Black Black Black Black Black Black Purple Purple
Brown Black Purple Purple Purple Purple Brown Brown Brown Brown Black
Black Purple Purple Purple Purple Purple Brown Brown Brown Brown Black
Black Black Purple Purple Purple Purple Brown Brown Brown Brown Purple
Black Black Purple Purple Purple Purple Brown Brown Brown Brown Gray
Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black
Black Brown Yellow Yellow Yellow Yellow Gray Gray Gray Gray Brown
Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Black
Black Brown Yellow Yellow Yellow Yellow Gray Gray Gray Gray 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 Brown Brown Brown Brown Brown
Black Black Black Black Black Black Brown Brown Brown Brown Brown
Black Black Black Black Black Black Brown Brown Brown Brown Brown
Black Black Black Black Black Black Brown Brown Brown Brown Brown
Black Black Black Black Black Black Brown Brown Brown Brown Brown
Black Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray
Black Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray
Black Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray
Black Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray
```
assistant