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:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Purple Purple Purple Purple Purple Purple Black Purple Black Black Gray
Gray Purple Black Purple Purple Black Purple Purple Purple Purple Black Gray
Gray Purple Purple Purple Black Black Purple Purple Black Purple Black Gray
Gray Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Gray
Gray Purple Purple Black Purple Black Black Purple Purple Black Black Gray
Gray Purple Purple Black Purple Purple Purple Purple Black Black Purple Gray
Gray Purple Black Purple Black Black Black Purple Purple Black Purple Gray
Gray Purple Purple Purple Purple Purple Purple Black Purple Purple Black Gray
Gray Black Purple Black Purple Purple Purple Purple Purple Black Black Gray
Gray Purple Black Black Purple Black Purple Purple Black Purple Purple Gray
Gray Purple Black Black Purple Black Purple Black Black Purple Purple Gray
Gray Purple Purple Black Purple Purple Purple Purple Purple Purple Black Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray

Output:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Brown Brown Brown Brown Brown Brown Black Brown Black Black Gray
Gray Brown Black Brown Brown Black Brown Brown Brown Brown Black Gray
Gray Brown Brown Brown Black Black Brown Brown Black Brown Black Gray
Gray Brown Brown Brown Brown Black Brown Brown Brown Brown Brown Gray
Gray Brown Brown Black Brown Black Black Brown Brown Black Black Gray
Gray Brown Brown Black Brown Brown Brown Brown Black Black Brown Gray
Gray Brown Black Brown Black Black Black Brown Brown Black Brown Gray
Gray Brown Brown Brown Brown Brown Brown Black Brown Brown Black Gray
Gray Black Brown Black Brown Brown Brown Brown Brown Black Black Gray
Gray Brown Black Black Brown Black Brown Brown Black Brown Brown Gray
Gray Brown Black Black Brown Black Brown Black Black Brown Brown Gray
Gray Brown Brown Black Brown Brown Brown Brown Brown Brown Black Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


Example 2
Input:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Black Black Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Gray
Gray Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Gray
Gray Purple Purple Black Purple Purple Black Black Black Purple Black Purple Purple Gray
Gray Purple Purple Purple Black Purple Black Black Black Purple Purple Purple Black Gray
Gray Purple Black Black Black Purple Purple Purple Black Purple Purple Purple Black Gray
Gray Purple Black Black Purple Purple Purple Purple Purple Purple Black Purple Purple Gray
Gray Purple Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Gray
Gray Purple Black Black Purple Purple Purple Purple Purple Purple Purple Black Purple Gray
Gray Purple Black Black Black Black Black Purple Purple Purple Black Black Purple Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray

Output:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Black Black Brown Brown Brown Brown Brown Brown Brown Black Brown Brown Gray
Gray Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Gray
Gray Brown Brown Black Brown Brown Black Black Black Brown Black Brown Brown Gray
Gray Brown Brown Brown Black Brown Black Black Black Brown Brown Brown Black Gray
Gray Brown Black Black Black Brown Brown Brown Black Brown Brown Brown Black Gray
Gray Brown Black Black Brown Brown Brown Brown Brown Brown Black Brown Brown Gray
Gray Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Gray
Gray Brown Black Black Brown Brown Brown Brown Brown Brown Brown Black Brown Gray
Gray Brown Black Black Black Black Black Brown Brown Brown Black Black Brown Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


Example 3
Input:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Purple Black Black Purple Black Black Purple Purple Purple Purple Black Gray
Gray Purple Black Purple Purple Black Black Purple Purple Black Purple Purple Gray
Gray Purple Purple Purple Black Black Purple Purple Black Purple Purple Purple Gray
Gray Black Black Black Purple Purple Purple Black Black Purple Black Black Gray
Gray Purple Purple Black Purple Purple Black Black Purple Black Black Purple Gray
Gray Purple Purple Purple Purple Black Black Black Purple Purple Purple Black Gray
Gray Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray
Gray Black Black Purple Purple Purple Purple Purple Purple Purple Black Purple Gray
Gray Purple Purple Purple Black Purple Purple Black Purple Purple Purple Purple Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray

Output:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Brown Black Black Brown Black Black Brown Brown Brown Brown Black Gray
Gray Brown Black Brown Brown Black Black Brown Brown Black Brown Brown Gray
Gray Brown Brown Brown Black Black Brown Brown Black Brown Brown Brown Gray
Gray Black Black Black Brown Brown Brown Black Black Brown Black Black Gray
Gray Brown Brown Black Brown Brown Black Black Brown Black Black Brown Gray
Gray Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Gray
Gray Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray
Gray Black Black Brown Brown Brown Brown Brown Brown Brown Black Brown Gray
Gray Brown Brown Brown Black Brown Brown Black Brown Brown Brown Brown Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


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