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 Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Pink Pink Pink Pink Pink 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 Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Pink Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black
Black Black Pink Pink Pink Pink Pink Pink Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black
Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Pink Black Black Black Black Black Brown Black Black Black Brown Black Brown Black Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Brown Black 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

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

Output:
Black Purple Black Purple Black Black Purple Black Black Black Black Black Black Black Purple Purple Black Black Black Black
Purple Purple Purple Purple Black Black Purple Black Black Black Black Black Black Black Purple Purple Black Black Black Black
Blue Purple Purple Purple Black Black Purple Black Black Black Black Black Black Black Purple Purple Black Black Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Blue Purple Blue Purple Black Black Purple Black Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Purple Black Purple Purple Purple Purple Black Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Purple Black Purple Purple Purple Purple Blue Blue Black Black Black Purple Purple Purple Purple Purple Purple Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Black Purple Purple Purple Purple Purple Blue Black Black Black Purple Purple Purple Purple Purple Purple Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Black Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black
Black Purple Black Purple Black Black Purple Black Black Black Black Black Red Red Purple Purple Red Black Black Black
Black Purple Blue Purple Blue Purple Purple Black Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Purple Purple Black Black Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Blue Purple Blue Black Purple Black Black Black Black Black Black Purple Purple Purple Black Black Black Black


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow 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 Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Green Green Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red
Black Black Black Green Green 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 Black Black Black Black Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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

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


Here is the input grid for the test example:
Input:
Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black
Black Black Black Black Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black
Black Black Black Brown Brown Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Gray Black
Black Black 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 Black Gray Gray Gray 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 Black Black Black Black Black Gray Gray Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black
Black Black 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 Black 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 Brown Brown Purple Purple Purple Black Black Black Black Black Purple Black Black Black Purple Black Black
Black Black Purple Brown Purple Purple Purple Black Black Black Black Black Purple Black Black Black Purple Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Brown Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Purple Black Black
Black Black Black Black Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Purple Black Black
Black Black Black Black Purple Black Black Black Black Black Purple Purple Purple Black Black Black Purple Black Black
Black Black Black Black Purple Black Black Black Black Black Purple Purple Purple Black Purple Purple Purple Gray Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Purple Black Black Black Black Black Black Black Purple Black Purple Purple Purple Gray Black
Black Black Black Black Purple Black Black Black Black Black Black Black Purple Black Purple Purple Purple Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black Purple Black Black Black Purple Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black Purple Black Black Black Purple Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black Purple Black Black Black Purple Purple Black
Black Black Black Black Purple Black Black Black Black Black Black Black Purple Black Black Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Purple Black Black Black Black Black Black Black Purple Black Black Black Purple Gray Black
Black Black Black Black Purple Black Black Black Black Black Black Black Purple Black Black Black Purple Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black Purple Black Black Black Purple Black Black
```
assistant