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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Black Yellow Black Black Black Black Black Yellow Black
Black Black Yellow Black Black Black Black Black Yellow Black
Black Black Yellow Black Black Black Black Black Yellow Black
Black Black Yellow Black Black Black Black Black Yellow Black
Black Black Yellow Black Black Black Black Black Yellow Black
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow
Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow
Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Green Green Green Green Green Green Green Black
Black Black Green Black Black Black Black Black Green Black
Black Black Green Black Black Black Black Black Green Black
Black Black Green Black Black Black Black Black Green Black
Black Black Green Black Black Black Black Black Green Black
Black Black Green Black Black Black Black Black Green Black
Black Black Green Green Green Green Green Green Green Black
Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Yellow Green Green Green Green Green Green Green Yellow
Black Yellow Green Yellow Yellow Yellow Yellow Yellow Green Yellow
Black Yellow Green Yellow Black Black Black Yellow Green Yellow
Black Yellow Green Yellow Black Black Black Yellow Green Yellow
Black Yellow Green Yellow Black Black Black Yellow Green Yellow
Black Yellow Green Yellow Yellow Yellow Yellow Yellow Green Yellow
Black Yellow Green Green Green Green Green Green Green Yellow
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Gray Gray Gray Gray Gray Gray Gray Black
Black Black Gray Black Black Black Black Black Gray Black
Black Black Gray Black Black Black Black Black Gray Black
Black Black Gray Black Black Black Black Black Gray Black
Black Black Gray Black Black Black Black Black Gray Black
Black Black Gray Black Black Black Black Black Gray Black
Black Black Gray Gray Gray Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Yellow Gray Gray Gray Gray Gray Gray Gray Yellow
Black Yellow Gray Yellow Yellow Yellow Yellow Yellow Gray Yellow
Black Yellow Gray Yellow Black Black Black Yellow Gray Yellow
Black Yellow Gray Yellow Black Black Black Yellow Gray Yellow
Black Yellow Gray Yellow Black Black Black Yellow Gray Yellow
Black Yellow Gray Yellow Yellow Yellow Yellow Yellow Gray Yellow
Black Yellow Gray Gray Gray Gray Gray Gray Gray Yellow
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Purple Purple Purple Purple Purple Purple Purple Black
Black Black Purple Black Black Black Black Black Purple Black
Black Black Purple Black Black Black Black Black Purple Black
Black Black Purple Black Black Black Black Black Purple Black
Black Black Purple Black Black Black Black Black Purple Black
Black Black Purple Black Black Black Black Black Purple Black
Black Black Purple Purple Purple Purple Purple Purple Purple Black
Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Yellow Purple Purple Purple Purple Purple Purple Purple Yellow
Black Yellow Purple Yellow Yellow Yellow Yellow Yellow Purple Yellow
Black Yellow Purple Yellow Black Black Black Yellow Purple Yellow
Black Yellow Purple Yellow Black Black Black Yellow Purple Yellow
Black Yellow Purple Yellow Black Black Black Yellow Purple Yellow
Black Yellow Purple Yellow Yellow Yellow Yellow Yellow Purple Yellow
Black Yellow Purple Purple Purple Purple Purple Purple Purple Yellow
Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black
```
assistant