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 Black 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 Purple Pink
Black Black Black Black Black Black Black Black Purple Pink
Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Yellow Black
Black Black Black Black Black Black Gray Black Gray Black
Black Black Black Black Black Red Gray Gray Gray Black

Output:
Purple Purple Purple Black Black Purple Purple Purple Black Black
Purple Purple Purple Black Black Purple Purple Purple Black Black
Purple Purple Purple Black Black Purple Purple Purple Black Black
Purple Purple Purple Black Purple Purple Purple Purple Black Purple
Purple Purple Purple Black Purple Purple Purple Purple Black Purple
Purple Black Purple Black Purple Purple Black Purple Black Purple
Black Black Black Black Purple Black Black Black Black Purple
Purple Purple Purple Black Black Black Black Black Purple Purple
Purple Purple Purple Black Black Black Black Black Purple Pink
Purple Purple Purple Black Black Black Black Black Purple Pink
Purple Purple Purple Black Purple Black Black Black Purple Black
Purple Purple Purple Black Purple Black Black Black Yellow Black
Purple Black Purple Black Purple Black Gray Black Gray Black
Black Black Black Black Purple Red Gray Gray Gray 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 Yellow Red Red Yellow Black
Black Black Black Black Black Black Purple Gray Gray Gray Gray Purple
Black Black Black Black Black Black Blue Blue Gray Gray Blue Blue
Black Black Black Black Black Black Black Brown Blue Blue Brown Black
Black Black Black Black Black Black Black Brown Brown Brown Brown Black

Output:
Purple Black Black Black Black Purple Purple Black Black Black Black 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
Purple Black Black Black Black Purple Purple Black Black Black Black Purple
Purple Black Black Black Black Purple Purple Black Black Black Black Purple
Purple Black Black Black Black Purple Black Yellow Red Red Yellow Black
Black Black Black Black Black Black Purple Gray Gray Gray Gray Purple
Black Black Black Black Black Black Blue Blue Gray Gray Blue Blue
Purple Black Black Black Black Purple Black Brown Blue Blue Brown Black
Purple Black Black Black Black Purple Black Brown Brown Brown Brown Black


Example 3
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 Purple Blue Purple Black Black
Black Black Black Black Black Black Black Brown Green Purple Black Black
Black Black Black Black Black Black Orange Gray Blue Black Black Black
Black Black Black Black Black Black Pink Gray Black Black Green Black
Black Black Black Black Black Black Pink Brown Purple Red Red Red
Black Black Black Black Black Black Pink Pink Black Red Red Black

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


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
Black Black Black Black Black Black Black Black
Black Purple Purple Black Black Purple Purple Black
Black Black Black Black Purple Purple Purple Purple
Black Black Black Black Blue Blue Blue Blue
Black Black Black Black Brown Gray Gray Brown
Black Purple Purple Black Pink Black Black Pink
```
assistant