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 Gray Gray Yellow Yellow Black Black Black Black
Black Black Gray Gray Yellow Yellow Black Black Black Black
Black Black Gray Gray Gray Gray Gray Gray Black Black
Black Black Gray Gray Gray Gray Gray Gray Black Black
Black Black Black Black Black Black Gray Gray Black Black
Black Black Black Black Black Black Gray Gray Black Black
Black Black Gray Gray Gray Gray Gray Gray Black Black
Black Black Gray Gray Gray Gray Gray Gray Black Black

Output:
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow
Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow
Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow
Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow


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

Output:
Green Green Green Green Green Green Gray Gray Green Green
Green Green Green Green Green Green Gray Gray Green Green
Gray Gray Gray Gray Gray Gray Green Green Gray Gray
Gray Gray Gray Gray Gray Gray Green Green Gray Gray
Green Green Green Green Green Green Gray Gray Green Green
Green Green Green Green Green Green Gray Gray Green Green
Green Green Gray Gray Green Green Gray Gray Green Green
Green Green Gray Gray Green Green Gray Gray Green Green
Gray Gray Green Green Gray Gray Green Green Green Green
Gray Gray Green Green Gray Gray Green Green Green Green


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

Output:
Gray Gray Green Green Gray Gray Gray Gray Gray Gray
Gray Gray Green Green Gray Gray Gray Gray Gray Gray
Green Green Green Green Gray Gray Green Green Gray Gray
Green Green Green Green Gray Gray Green Green Gray Gray
Gray Gray Green Green Green Green Green Green Green Green
Gray Gray Green Green Green Green Green Green Green Green
Gray Gray Gray Gray Gray Gray Gray Gray Green Green
Gray Gray Gray Gray Gray Gray Gray Gray Green Green
Gray Gray Gray Gray Gray Gray Green Green Green Green
Gray Gray Gray Gray Gray Gray Green Green Green Green


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


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:

```
Gray Gray Purple Purple Gray Gray Purple Purple Gray Gray
Gray Gray Purple Purple Gray Gray Purple Purple Gray Gray
Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray
Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray
Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray
Gray Gray Gray Gray Purple Purple Gray Gray Purple Purple
Gray Gray Gray Gray Purple Purple Gray Gray Purple Purple
Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray
Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray
```
assistant