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 Brown Black Black
Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black
Gray 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 Black
Black Purple Purple Purple Purple Purple Black Black Black Black
Black Purple Purple Purple Purple Purple Black Black Black Orange
Black Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Red Black Black Black Black Gray

Output:
Black Black Black Black Black Black Black Brown Black Black
Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black
Gray 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 Black
Black Purple Purple Purple Purple Purple Black Black Black Black
Black Purple Purple Purple Purple Orange Black Black Black Orange
Black Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Red Black Black Black Black Gray


Example 2
Input:
Black Black Black Black Black Black Black Black Black Pink
Black Black Purple Purple Purple Black Black Black Black Gray
Black Black Purple Purple Purple Black Black Black Black Black
Black Black Purple Purple Purple Black Black Black Black Black
Black Black Purple Purple 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
Green Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black
Black Black Pink Yellow Black Black Black Black Black Black

Output:
Black Black Black Black Black Black Black Black Black Pink
Black Black Purple Purple Purple Black Black Black Black Gray
Black Black Purple Purple Purple Black Black Black Black Black
Black Black Purple Purple Purple Black Black Black Black Black
Black Black Pink Yellow 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
Green Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black
Black Black Pink Yellow Black Black Black Black Black Black


Example 3
Input:
Black Green Black Black Brown Pink Yellow Black Pink Black
Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Purple Purple Black Black
Black Black Black Black Purple Purple Purple Purple Black Black
Gray Black Black Black Purple Purple Purple Purple Black Black
Black Black Black Black Purple Purple Purple Purple Black Red
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 Black Black
Black Black Black Black Black Black Black Black Black Black

Output:
Black Green Black Black Brown Pink Yellow Black Pink Black
Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Purple Purple Black Black
Black Black Black Black Purple Purple Purple Purple Black Black
Gray Black Black Black Purple Purple Purple Purple Black Black
Black Black Black Black Purple Purple Purple Red Black Red
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 Black 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 Green Yellow Black Black
Gray 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 Black
Black Black Black Black Black Black Black Black Black Black
Black Purple Purple Purple Purple Black Black Black Black Black
Black Purple Purple Purple Purple Black Black Black Black Black
Black Purple Purple Purple Purple Black Black Black Black Black
Black Purple Purple Purple Purple Black Black Black Black Black
Black Blue Purple Purple Purple Black Yellow Brown Black Gray


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 Green Yellow Black Black
Gray 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 Black
Black Black Black Black Black Black Black Black Black Black
Black Purple Purple Purple Purple Black Black Black Black Black
Black Purple Purple Purple Purple Black Black Black Black Black
Black Purple Purple Purple Purple Black Black Black Black Black
Black Purple Purple Purple Purple Black Black Black Black Black
Black Blue Purple Purple Brown Black Yellow Brown Black Gray
```
assistant