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 Gray Orange Gray Orange Gray Gray Orange Gray Yellow Black
Black Orange Gray Orange Orange Gray Orange Orange Orange Orange Black
Black Gray Yellow Gray Orange Gray Yellow Orange Orange Gray Black
Black Orange Orange Yellow Gray Gray Gray Gray Yellow Gray Black
Black Gray Gray Orange Gray Gray Gray Orange Gray Yellow Black
Black Yellow Gray Gray Orange Orange Gray Gray Yellow Gray Black
Black Orange Orange Gray Yellow Yellow Gray Gray Orange Gray 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 Red Purple Red Purple Red Red Purple Red Yellow Black
Black Purple Red Purple Purple Red Purple Purple Purple Purple Black
Black Red Yellow Red Purple Red Yellow Purple Purple Red Black
Black Purple Purple Yellow Red Red Red Red Yellow Red Black
Black Red Red Purple Red Red Red Purple Red Yellow Black
Black Yellow Red Red Purple Purple Red Red Yellow Red Black
Black Purple Purple Red Yellow Yellow Red Red Purple Red Black
Black Black Black Black Black Black Black Black Black Black Black


Example 2
Input:
Black Black Black Black Black Black Black Black Black
Black Yellow Yellow Gray Orange Gray Gray Gray Black
Black Orange Orange Yellow Gray Gray Yellow Orange Black
Black Orange Orange Orange Orange Gray Gray Orange Black
Black Gray Yellow Orange Gray Gray Yellow Gray Black
Black Gray Yellow Yellow Yellow Gray Yellow Gray Black
Black Orange Orange Gray Orange Orange Gray Yellow Black
Black Yellow Yellow Gray Gray Gray Yellow Orange Black
Black Yellow Yellow Yellow Gray Gray Gray Orange Black
Black Black Black Black Black Black Black Black Black

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


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black
Black Orange Gray Gray Orange Yellow Gray Yellow Orange Black
Black Gray Gray Gray Yellow Gray Gray Orange Orange Black
Black Orange Gray Yellow Orange Yellow Yellow Gray Gray Black
Black Yellow Gray Orange Yellow Orange Orange Yellow Gray Black
Black Yellow Gray Orange Gray Orange Yellow Orange Gray Black
Black Yellow Yellow Gray Gray Gray Gray Orange Orange Black
Black Gray Gray Yellow Gray Gray Orange Yellow Orange Black
Black Orange Gray Orange Gray Orange Gray Gray Yellow Black
Black Black Black Black Black Black Black Black Black Black

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