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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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
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 Gray Gray Gray Gray
Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray 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 Black Black Black Black Black Black Gray Gray
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Gray Gray
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Gray Gray
Black Black Black Black Purple Purple Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Blue Blue Black Black Black Black Black Black Black Black

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


Example 2
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 Black Purple Purple Blue Blue Black Black Black Black
Black Black Black Black Black Black Purple Purple Blue Blue Black Black Black Black
Black Black Black Black Yellow Yellow Gray Gray Blue Blue Brown Brown Brown Brown
Black Black Black Black Yellow Yellow Gray Gray Blue Blue Brown Brown Brown Brown
Black Black Black Black Red Red Gray Gray Gray Gray Blue Blue Brown Brown
Black Black Black Black Red Red Gray Gray Gray Gray Blue Blue Brown Brown
Black Black Black Black Red Red Gray Gray Gray Gray Blue Blue Brown Brown
Black Black Black Black Red Red Gray Gray Gray Gray Blue Blue Brown Brown
Black Black Black Black Yellow Yellow Gray Gray Blue Blue Brown Brown Brown Brown
Black Black Black Black Yellow Yellow Gray Gray Blue Blue Brown Brown Brown Brown
Black Black Black Black Black Black Purple Purple Blue Blue Black Black Black Black
Black Black Black Black Black Black Purple Purple Blue Blue Black Black Black Black

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


Example 3
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 Black Black Black
Black Black Black Black Black Black Black Black Orange Orange Pink Pink Pink Pink Pink Pink
Black Black Black Black Black Black Black Black Orange Orange Pink Pink Pink Pink Pink Pink
Black Black Black Black Purple Purple Brown Brown Gray Gray Gray Gray Brown Brown Pink Pink
Black Black Black Black Purple Purple Brown Brown Gray Gray Gray Gray Brown Brown Pink Pink
Black Black Black Black Blue Blue Green Green Blue Blue Black Black Purple Purple Black Black
Black Black Black Black Blue Blue Green Green Blue Blue Black Black Purple Purple Black Black
Black Black Black Black Purple Purple Purple Purple Black Black Black Black Red Red Red Red
Black Black Black Black Purple Purple Purple Purple Black Black Black Black Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Green Green Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Green Green Red Red Red Red
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 Red Red Black Black

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


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:

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