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

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Brown Black Green Brown Black Black Black Black Black Black Black Black
Black Black Brown Green Green Brown Black Brown Brown Brown Brown Brown Black Black
Black Black Brown Brown Brown Brown Black Brown Pink Black Pink Brown Black Black
Black Black Black Black Black Black Black Brown Pink Pink Pink Brown Black Black
Black Black Black Black Black Black Black Brown Pink Pink Pink Brown Black Black
Black Black Black Black Black Black Black Brown Black Pink Black Brown Black Black
Black Black Black Pink Pink Pink Pink Brown Brown Brown Brown Brown Black Black
Black Black Black Pink Brown Brown Pink Black Black Black Black Black Black Black
Black Black Black Pink Brown Brown Pink Black Black Black Black Black Black Black
Black Black Black Pink Brown Brown Pink Black Black Black Black Black Black Black
Black Black Black Pink Pink 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 Brown Brown Brown Brown Black Black Black Black Black Black Black Black


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

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


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 Purple Purple Purple Purple Purple
Black Black Black Black Black Black Black Purple Blue Blue Blue Purple
Black Black Black Black Black Black Black Purple Blue Blue Blue Purple
Black Black Black Black Black Black Black Purple Blue Blue Blue Purple
Black Black Black Black Black Black Black Purple Blue Blue Blue Purple
Black Black Black Black Gray Gray Gray Purple Purple Purple Purple Purple
Black Black Black Black Gray Brown Brown Gray Black Black Black Black
Black Black Black Black Gray Brown Brown Gray Black Black Black Black
Black Gray Gray Gray Gray Brown Brown Gray Black Black Black Gray
Black Purple Purple Purple Gray Gray Gray Gray Black Black Black Gray
Black Purple Purple Purple Gray Black Black Black Black Black Black Gray
Black Gray Gray Gray Gray 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
```
assistant