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 Gray Gray Gray Gray Gray Black Black Black Black Gray Black Black Black Black Black
Black Black Gray Black Black Black Gray Black Black Black Black Gray Black Black Black Black Black
Black Black Gray Black Black Black Gray Black Gray Gray Gray Gray Gray Black Black Black Black
Black Black Gray Black Black Black Gray Black Gray Black Black Black Gray Black Black Black Black
Black Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Gray Black Black Black Black Gray Black Black Black Black Black Black Black Black
Black Black Black Gray Gray Gray Gray Gray Gray 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

Output:
Black Black Gray Yellow Yellow Yellow Gray Black Black Black Black Gray Black Black Black Black Black
Black Black Yellow Purple Purple Purple Yellow Black Black Black Black Gray Black Black Black Black Black
Black Black Yellow Purple Purple Purple Yellow Black Gray Yellow Yellow Yellow Gray Black Black Black Black
Black Black Yellow Purple Purple Purple Yellow Black Yellow Purple Purple Purple Yellow Black Black Black Black
Black Black Gray Yellow Yellow Yellow Gray Black Gray Yellow Yellow Yellow Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Gray Black Black Black Black Gray Black Black Black Black Black Black Black Black
Black Black Black Gray Gray Gray Gray Gray Gray 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


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

Output:
Gray Black Black Black Black Black Gray Black Black Black Black Black Black Black Black
Gray Black Black Black Gray Yellow Yellow Gray Black Gray Gray Gray Gray Gray Black
Gray Black Black Black Yellow Purple Purple Yellow Black Gray Black Black Black Gray Black
Gray Black Black Black Gray Yellow Yellow Gray Black Gray Gray Black Black Gray Black
Gray Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Black
Black Gray Yellow Yellow Gray Black Black Black Black Gray Gray Black Black Gray Black
Black Yellow Purple Purple Yellow Black Black Black Black Gray Gray Gray Gray Gray Black
Black Yellow Purple Purple Yellow Black Black Black Black Black Gray Black Black Black Black
Black Yellow Purple Purple Yellow Black Black Black Black Black Gray Black Black Black Black
Black Gray Yellow Yellow Gray Black Black Black Black Black Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Black Black Black 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 Gray Gray Gray Black Black Black Black
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray Black Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray Black Gray Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray Black Gray Black Black Black Black
Black Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Black Black Black Black
Gray Gray Black Black Gray Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Black Black Gray Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
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 Gray Yellow Gray Black Black Black Black
Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Purple Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Yellow Purple Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Yellow Purple Yellow Black Black Black Black
Black Black Black Black Black Black Black Black Black Yellow Purple Yellow Black Black Black Black
Black Gray Yellow Yellow Gray Black Black Black Black Gray Yellow Gray Black Black Black Black
Gray Yellow Purple Purple Yellow Black Black Black Black Black Black Black Black Black Black Black
Gray Yellow Purple Purple Yellow Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Yellow Yellow Gray Black Black Black Black Black Black Black Black Black Black Black
Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black


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

```
Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Gray Black Black Black Black
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Yellow Black Gray Yellow Gray
Purple Purple Purple Purple Purple Purple Purple Yellow Purple Yellow Black Yellow Purple Yellow
Purple Purple Purple Purple Purple Purple Purple Yellow Purple Yellow Black Yellow Purple Yellow
Purple Purple Purple Purple Purple Purple Purple Yellow Purple Yellow Black Yellow Purple Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Yellow Gray Gray Yellow Purple Yellow
Black Black Black Black Black Black Black Gray Gray Gray Black Yellow Purple Yellow
Black Black Black Black Black Black Black Black Black Black Black Gray Yellow Gray
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 Gray Yellow Yellow Yellow Gray Yellow Gray Black Black Black Black
Black Black Black Yellow Purple Purple Purple Yellow Purple Yellow Black Black Black Black
Black Black Black Yellow Purple Purple Purple Yellow Purple Yellow Black Black Black Black
Black Black Black Gray Yellow Yellow Yellow Gray Yellow Gray Black Black Black Black
```
assistant