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 Red Black Black Black Black Black
Black Black Black Black Black Black Black Blue Black Black Black Black
Black Black Red Black Black Green Black Black Black Red Black Black
Black Black Black Gray Black Blue Black Gray Black Black Black Black
Black Black Red Black Black Black Black Red Green Black Black Black
Gray Black Black Black Gray Black Black Black Blue Black Red Black
Black Black Black Black Black Black Red Black Black Blue Red Gray
Black Black Black Black Black Black Red Black Black Black Black Gray

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


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

Output:
Gray Black Black Black Black Black Black Black Black Black
Black Black Black Purple Black Gray Black Black Black Black
Black Black Black Black Black Black Black Black Purple Black
Black Black Black Black Black Black Black Black Black Black
Black Purple 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 3
Input:
Black Black Black Red Black Black Black Black Black Gray Green
Black Black Black Black Green Blue Green Black Black Gray Black
Black Black Black Black Black Black Red Black Black Black Gray
Black Black Black Black Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Red Black
Black Black Black Black Black Black Black Black Black Black Blue
Gray Black Black Black Black Gray Black Black Black Black Black

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


Here is the input grid for the test example:
Input:
Black Black Black Blue Blue Black Black Blue Black
Black Black Black Black Red Gray Black Black Black
Blue Black Black Black Green Gray Blue Blue Blue
Gray Black Black Black Black Black Red Black Blue
Black Black Black Green Red Gray Black Black Black
Gray Black Black Black Black Black Black Black Black
Black Black Black Black Red Blue Black Green Blue
Black Green Black Black Black Black Black Black Black
Black Black Red Black Green Blue 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 Orange Black Black Orange Orange Black Black Black
Black Black Black Gray Yellow Black Black Black Black
Orange Orange Orange Gray Purple Black Black Black Orange
Orange Black Yellow Black Black Black Black Black Gray
Black Black Black Gray Yellow Purple Black Black Black
Black Black Black Black Black Black Black Black Gray
Orange Purple Black Orange Yellow Black Black Black Black
Black Black Black Black Black Black Black Purple Black
Black Black Black Orange Purple Black Yellow Black Black
```
assistant