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 Brown Black Black Black Black
Black Black Black Green Black Brown Black Black Black Black
Black Black Black Green Green Brown Black Black Gray Black
Black Black Black Black Green Brown Black Gray Gray Gray
Gray Gray Black Black Black Brown Black Black Gray Black
Gray Gray Black Black Black Brown Black Black Black Black
Gray Gray Black Black Black Brown Black Black Black Black
Black Black Black Black Black Brown Black Black Gray Gray
Black Black Black Black Black Green Green Black Gray Gray
Black Black Black Black Black Green Green Black Gray Gray

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


Example 2
Input:
Black Black Gray Gray Black Brown Black Black Gray Black
Black Black Gray Gray Black Brown Black Black Black Black
Black Black Black Black Black Brown Black Green Black Black
Black Black Gray Gray Black Brown Green Green Black Gray
Black Black Gray Gray Black Brown Black Black Black Black
Black Black Black Black Black Brown Black Black Black Black
Gray Gray Black Black Black Brown Black Black Gray Black
Gray Gray Black Black Black Brown Black Gray Gray Gray
Black Black Black Black Green Brown Black Black Gray Black
Black Black Black Green Green Green Black Black Black Black

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


Example 3
Input:
Gray Gray Black Gray Black Brown Black Black Black Black
Gray Black Black Black Black Brown Black Black Black Black
Black Black Black Black Black Brown Green Green Black Black
Black Black Black Black Black Brown Green Black Black Black
Black Black Gray Black Black Brown Black Black Black Black
Black Black Black Black Black Brown Black Black Black Black
Gray Gray Black Black Black Brown Black Black Black Green
Gray Gray Black Black Black Brown Black Black Green Green
Black Black Black Black Black Brown Black Black Green Green
Black Black Black Black Black Brown Black Black Black Black

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


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