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 Pink Pink Black Orange Orange Orange Orange Black Purple Purple Purple Black
Black Pink Pink Black Orange Orange Orange Orange Black Purple Purple Purple Black
Black Pink Pink Black Black Black Black Black Black Purple Purple Purple Black
Black Pink Pink Black Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black
Black Black Black Black Brown Brown Brown Brown Black Pink Pink Pink Black
Black Black Black Black Brown Brown Brown Brown Black Pink Pink Pink Black
Gray Gray Black Black Black Black Black Black Black Pink Pink Pink Black
Gray Gray Black Brown Brown Brown Brown Black Black Black Black Black Black
Gray Gray Black Brown Brown Brown Brown Black Black Black Black Black Black
Gray Gray Black Brown Brown Brown Brown Black Green Green Green Green Black
Black Black Black Brown Brown Brown Brown Black Green Green Green Green Black

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


Example 2
Input:
Black Black Black Black Black Black Black Black Black Blue Blue Blue
Black Black Black Black Black Black Black Black Black Blue Blue Blue
Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Black Black Yellow Yellow Yellow Yellow Black Black Gray Gray Black Black
Black Black Yellow Yellow Yellow Yellow Black Black Gray Gray Black Black
Black Black Yellow Yellow Yellow Yellow 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 Red Red Black
Black Black Black Black Black Black Black Black Black Red Red Black
Orange Orange Black Black Blue Blue Blue Blue Black Red Red Black
Orange Orange Black Black Blue Blue Blue Blue Black Black Black Black
Orange Orange Black Black Blue Blue Blue Blue Black Black Black Black

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


Example 3
Input:
Black Purple Purple Black Brown Brown Black Black Black Blue Blue Blue
Black Purple Purple Black Brown Brown Black Black Black Blue Blue Blue
Black Purple Purple Black Black Black Black Black Black Blue Blue Blue
Black Purple Purple Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Yellow Yellow Black Black Black Green Green Green
Black Black Black Black Black Black Black Black Black Green Green Green
Black Black Black Black Black Black Black Black Black Green Green Green
Black Black Red Red Red Red Black Black Black Black Black Black
Black Black Red Red Red Red Black Black Gray Gray Gray Black
Black Black Red Red Red Red Black Black Gray Gray Gray Black
Black Black Black Black Black Black Black Black Gray Gray Gray Black
Black Black Black Black Black Black Black Black Gray Gray Gray Black

Output:
Black Purple Purple Black Purple Purple Black Black Black Purple Purple Purple
Black Purple Purple Black Purple Purple Black Black Black Purple Purple Purple
Black Purple Purple Black Black Black Black Black Black Purple Purple Purple
Black Purple Purple Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Purple Purple Purple
Black Black Black Black Black Black Black Black Black Purple Purple Purple
Black Black Black Black Black Black Black Black Black Purple Purple Purple
Black Black Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Purple Purple Purple Purple Black Black Purple Purple Purple Black
Black Black Purple Purple Purple Purple Black Black Purple Purple Purple Black
Black Black Black Black Black Black Black Black Purple Purple Purple Black
Black Black Black Black Black Black Black Black Purple Purple Purple 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 Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Gray Gray Gray Black Pink Pink Pink
Black Black Black Black Black Black Black Gray Gray Gray Black Pink Pink Pink
Brown Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black
Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Brown Black Black Black Black Black Pink Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black
Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black
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 Brown Black Black
Black Black Gray Gray Black Black Black Black Black Black Brown Brown Black Black
Black Black Gray Gray Black Black Black Black Black Black Brown Brown Black Black
Black Black Gray Gray Black Black Black Black Black Black Brown Brown 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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Purple Purple Purple Black Purple Purple Purple
Black Black Black Black Black Black Black Purple Purple Purple Black Purple Purple Purple
Purple Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Black
Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Black Black Black Black Black Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Black 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 Purple Purple Black Black
Black Black Purple Purple Black Black Black Black Black Black Purple Purple Black Black
Black Black Purple Purple Black Black Black Black Black Black Purple Purple Black Black
Black Black Purple Purple Black Black Black Black Black Black Purple Purple Black Black
```
assistant