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 Pink Pink Pink Pink Black Black Black
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 Pink Pink Pink Pink Black Black Black
Black Black Black Black Red Red Red Red Black Black Pink Pink Pink Pink 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 Green Green Green Black Black Black
Black Black Black Black Black Black Black Brown Brown Brown Brown Green Green Green Black Black Black
Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black
Brown Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black

Output:
Black Black Brown Black Black
Black Brown Brown Brown Black
Brown Brown Brown Brown Brown
Black Brown Brown Brown Black
Black Black Brown 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 Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Red Black Black Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Red Red Red Black Black Yellow Yellow Yellow Yellow
Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Red Black Black Black Blue Blue Blue
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
Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Black Blue Black
Blue Blue Blue
Black Blue Black


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

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


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 Purple Black
Purple Purple Purple
Black Purple Black
```
assistant