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 Blue Blue Purple Purple
Black Black Black Black Black Black Black Black Blue Blue Purple Purple
Gray Gray Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple
Gray Gray Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple
Gray Gray Black Black Black Black Black Black Black Black Black Black
Gray Gray Black Black Black Black Black Black Black Black Black Black
Gray Gray Gray Gray Black Black Black Black Black Black Black Black
Gray Gray Gray Gray Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black

Output:
Purple Purple Purple Purple Black Black Black Black Black Black
Purple Purple Purple Purple Black Black Black Black Black Black
Blue Blue Purple Purple Black Black Black Black Black Black
Blue Blue Purple Purple Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black
Black Black Yellow Yellow Black Black Gray Gray Black Black
Black Black Yellow Yellow Black Black Gray Gray Black Black
Black Black Gray Gray Gray Gray Gray Gray Red Red
Black Black Gray Gray Gray Gray Gray Gray Red Red


Example 2
Input:
Black Black Black Black Blue Blue Purple Purple
Black Black Black Black Blue Blue Purple Purple
Blue Blue Gray Gray Purple Purple Purple Purple
Blue Blue Gray Gray Purple Purple Purple Purple
Black Black Black Black Purple Purple Yellow Yellow
Black Black Black Black Purple Purple Yellow Yellow
Black Black Brown Brown Orange Orange Green Green
Black Black Brown Brown Orange Orange Green Green

Output:
Purple Purple Purple Purple Yellow Yellow Green Green
Purple Purple Purple Purple Yellow Yellow Green Green
Blue Blue Purple Purple Purple Purple Orange Orange
Blue Blue Purple Purple Purple Purple Orange Orange
Black Black Gray Gray Black Black Brown Brown
Black Black Gray Gray Black Black Brown Brown
Black Black Blue Blue Black Black Black Black
Black Black Blue Blue Black Black Black Black


Example 3
Input:
Black Black Red Red Red Red Yellow Yellow
Black Black Red Red Red Red Yellow Yellow
Black Black Red Red Black Black Yellow Yellow
Black Black Red Red Black Black Yellow Yellow
Black Black Red Red Black Black Black Black
Black Black Red Red Black Black Black Black
Black Black Blue Blue Black Black Black Black
Black Black Blue Blue Black Black Black Black
Gray Gray Purple Purple Black Black Black Black
Gray Gray Purple Purple Black Black Black Black
Purple Purple Purple Purple Black Black Black Black
Purple Purple Purple Purple Black Black Black Black

Output:
Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Red Red Blue Blue Purple Purple Purple Purple
Red Red Red Red Red Red Blue Blue Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Gray Gray Purple Purple
Black Black Black Black Black Black Black Black Gray Gray Purple Purple


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

```
Black Black Orange Orange Black Black Black Black Black Black Black Black
Black Black Orange Orange Black Black Black Black Black Black Black Black
Purple Purple Orange Orange Black Black Black Black Black Black Black Black
Purple Purple Orange Orange Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Gray Gray
Purple Purple Black Black Black Black Black Black Black Black Gray Gray
Purple Purple Purple Purple Purple Purple Green Green Black Black Gray Gray
Purple Purple Purple Purple Purple Purple Green Green Black Black Gray Gray
Black Black Black Black Black Black Green Green Green Green Gray Gray
Black Black Black Black Black Black Green Green Green Green Gray Gray
```
assistant