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:
Brown Brown Black Brown Brown Brown Brown Black Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Black Brown Black Brown Black Black Brown Purple Brown Black
Brown Brown Brown Brown Brown Brown Brown Black Brown Black
Brown Brown Black Brown Brown Black Brown Black Brown Brown
Brown Brown Black Brown Brown Brown Brown Black Black Brown
Brown Brown Brown Brown Brown Black Black Brown Black Brown
Black Brown Purple Brown Black Black Brown Purple Brown Black
Brown Brown Brown Brown Brown Brown Black Brown Brown Brown
Brown Brown Black Brown Brown Brown Brown Black Brown Brown

Output:
Brown Brown Brown Brown Brown Brown Brown Black Brown Brown
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Brown Brown Brown Black Brown Purple Brown Black
Brown Brown Brown Brown Brown Brown Brown Black Brown Black
Brown Brown Brown Brown Brown Black Brown Black Brown Brown
Brown Brown Black Brown Brown Brown Brown Black Black Brown
Brown Brown Brown Brown Brown Black Brown Brown Brown Brown
Black Brown Purple Brown Black Black Brown Purple Brown Black
Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown
Brown Brown Black Brown Brown Brown Brown Black Brown Brown


Example 2
Input:
Black Black Blue Black Black Blue Blue Black Black Black
Blue Blue Blue Blue Blue Blue Black Blue Black Black
Blue Black Black Blue Blue Black Black Blue Black Black
Black Blue Blue Black Black Blue Blue Black Black Black
Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Blue Black Black Blue Blue Black Black Blue Black Black
Black Blue Blue Black Black Blue Blue Black Black Black
Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Blue Black Black Blue Blue Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black

Output:
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue


Example 3
Input:
Black Black Red Green Black Black Red Green Black Black
Black Red Red Black Black Red Red Black Black Black
Black Red Black Black Red Red Black Black Black Black
Purple Purple Black Black Purple Purple Black Black Black Black
Black Black Red Green Black Black Red Green Black Black
Black Red Red Black Black Red Red Black Black Black
Red Red Black Black Red Red Black Black Black Black
Purple Purple Black Black 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

Output:
Black Black Red Green Black Black Red Green Black Black
Black Red Red Black Black Red Red Black Black Red
Red Red Black Black Red Red Black Black Red Red
Purple Purple Black Black Purple Purple Black Black Purple Purple
Black Black Red Green Black Black Red Green Black Black
Black Red Red Black Black Red Red Black Black Red
Red Red Black Black Red Red Black Black Red Red
Purple Purple Black Black Purple Purple Black Black Purple Purple
Black Black Red Green Black Black Red Green Black Black
Black Red Red Black Black Red Red Black Black Red


Here is the input grid for the test example:
Input:
Blue Gray Blue Blue Purple Black Gray Blue Blue Purple
Blue Black Gray Purple Purple Blue Black Gray Purple Purple
Black Black Black Blue Black Black Black Black Blue Black
Blue Black Gray Purple Purple Blue Black Gray Purple Purple
Blue Gray Black Blue Black Black Gray Blue Black Purple
Blue Gray Blue Blue Purple Black Gray Blue Black Black
Blue Black Gray Purple Purple Black Black Gray Purple Purple
Black Black Black Blue Black Black Black Black Black Black
Blue Black Gray Purple Purple Blue Black Gray Black Purple
Blue Gray Blue Blue Purple Blue Gray Blue Blue 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:

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