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 Purple Black Black Black Black
Black Black Gray Black Black Purple Purple Purple Black Black Black
Black Black Black Gray Purple Purple Black Purple Purple Black Black
Black Black Purple Purple Gray Purple Purple Purple Black Black Gray
Black Purple Purple Black Purple Gray Purple Black Black Gray Gray
Black Black Purple Purple Purple Black Gray Black Gray Gray Black
Black Black Black Purple Black Purple Purple Gray Gray Purple Purple
Black Black Black Black Black Black Gray Black Black Purple Black

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


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

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


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 Purple Black Gray
Black Black Black Black Purple Black Purple Purple Gray Black
Black Black Black Purple Purple Purple Purple Gray Purple Purple
Black Black Black Black Purple Black Gray Purple Purple Black
Black Black Black Black Gray Gray Black Purple Black Black
Black Black Black Black Gray Gray Black Black Black Black
Black Black Black Gray Black Black Black Black Black Black
Black Black Gray 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Black Yellow Yellow Yellow Yellow Purple Yellow Purple
Black Black Black Yellow Yellow Yellow Purple Purple Purple Purple
Black Black Black Yellow Yellow Yellow Yellow Purple Yellow Yellow
Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Black Black Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow


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

```
Yellow Yellow Purple Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Purple Purple Purple Yellow Yellow Yellow
Purple Purple Yellow Purple Purple Purple Purple Yellow
Yellow Purple Purple Yellow Purple Purple Purple Purple
Yellow Yellow Purple Purple Yellow Yellow Purple Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
```
assistant