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

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


Example 2
Input:
Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black
Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black
Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black
Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black
Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black
Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black
Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black
Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black
Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black
Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black
Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black
Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black
Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black
Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black
Black Black Black Brown Brown Brown Brown Brown Brown Brown 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

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


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

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


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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black 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:

```
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black
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 Black Black Black
```
assistant