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
Gray Black Black Black Black Purple Black Black Black Black
Gray Black Black Purple Purple Purple Purple Purple Black Black
Black Black Black Purple Purple Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Black
Black Black Black Purple Purple Purple Purple Purple Black Black
Blue Black Black Purple Purple Purple Purple Purple Black Orange
Black Black Black Black Black 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 Purple Black Black Black Purple Black Black Black
Gray Black Purple Black Black Purple Black Black Black Black
Gray Black Black Purple Purple Purple Purple Purple Black Black
Black Black Black Purple Purple Purple Purple Purple Black Black
Black Black Purple Purple Purple Purple Purple Purple Purple Black
Black Purple Black Purple Purple Purple Purple Purple Black Black
Blue Black Black Purple Purple Purple Purple Purple Black Orange
Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Red Black Black Black Black Gray


Example 2
Input:
Black Green Black Black Orange Pink Yellow Black Pink Black
Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red
Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Purple Purple Purple Black Black Black
Black Black Black Purple Purple Purple Purple Purple Black Black
Black Black Black Black Purple Purple Purple 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 Blue Black

Output:
Black Green Black Black Orange Pink Yellow Black Pink Black
Black Black Black Black Black Black Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Red
Black Black Purple Black Black Purple Black Black Black Black
Black Black Purple Black Purple Purple Purple Black Black Black
Black Black Black Purple Purple Purple Purple Purple Black Black
Black Black Black Black Purple Purple Purple 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 Blue Black


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

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


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