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 Orange Orange Brown Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Green Orange Pink Orange Black Black Black Black
Black Black Black Black Black Black Black Black Black Blue Purple Green Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Green Green Orange Black Orange Blue Black Black
Black Black Black Black Black Black Black Black Black Green Orange Black Black Pink Gray Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Orange Black Black
Black Black Black Gray Brown Purple Brown Black Black Black Black Black Black Yellow Black Black Black
Black Black Black Orange Yellow Yellow Green Black Black Black Black Black Black Black Black Black Black
Black Black Black Orange Purple Gray Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Purple Gray Gray Gray Gray Purple Black Black Black
Black Black Black Black Black Black Black Black Purple Gray Gray Gray Gray Purple Black Black Black
Black Black Black Black Black Black Black Black Purple Gray Gray Gray Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Black Purple Gray Gray Gray Purple Gray Gray Purple Black
Black Black Black Black Black Black Black Black Purple Gray Gray Gray Purple Gray Gray Purple Black
Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Purple Black
Black Black Purple Gray Gray Gray Gray Purple Black Black Black Black Purple Gray Purple Purple Black
Black Black Purple Gray Gray Gray Gray Purple Black Black Black Black Purple Purple Purple Black Black
Black Black Purple Gray Gray Gray Purple Purple Black Black Black Black Black Black Black Black Black
Black Black Purple Gray Gray Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black 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


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


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

Output:
Black Black Black Black Black Black Purple Gray Gray Gray Purple Black Black Black Black Black
Black Black Black Black Black Black Purple Gray Gray Gray Purple Black Black Black Black Black
Black Black Black Black Black Black Purple Gray Gray Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Gray Gray Purple Black Black Black
Black Black Black Black Black Black Black Black Black Purple Gray Gray Purple Black Black Black
Black Black Black Black Black Black Black Black Black Purple Gray Gray Purple Black Black Black
Black Black Black Black Black Black Black Black Black Purple Gray Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Black Purple Gray Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black 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


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 Gray Pink Black Black Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Yellow Blue Black Black Black Black
Black Black Black Black Black Orange Black Orange Orange Pink Black Black Black Black
Black Black Black Black Black Black Black Gray Blue Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Green Pink Brown Black Black Black Black Black Black Black
Black Black Black Black Gray 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


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 Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Purple Gray Gray Purple Purple Purple Purple Black Black Black
Black Black Black Black Purple Gray Gray Gray Gray Gray Purple Black Black Black
Black Black Black Black Purple Gray Purple Gray Gray Gray Purple Black Black Black
Black Black Black Black Purple Purple Purple Gray Gray Purple Purple Black Black Black
Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Purple Gray Gray Gray Purple Black Black Black Black Black Black
Black Black Black Purple Gray Gray Gray Purple Black Black Black Black Black Black
Black Black Black 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
```
assistant