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:
Gray Gray Gray Gray Black Black Black Black Black
Gray Gray Gray Gray Black Black Black Black Black
Gray Gray Gray Gray Red Red Red Red Red
Purple Purple Purple Purple Red Black Red Black Red
Purple Purple Purple Purple Red Red Red Red Red
Black Purple Purple Purple Red Red Red Red Black
Purple Purple Purple Purple Red Black Black Black Black
Purple Purple Purple Purple Red Red Red Red Black
Black Black Black Black Black Black Black Black Black

Output:
Red Red Red Red Black Black Black Black Black
Red Red Red Red Black Black Black Black Black
Red Red Red Red Blue Blue Blue Blue Blue
Gray Gray Gray Gray Blue Black Blue Black Blue
Gray Gray Gray Gray Blue Blue Blue Blue Blue
Black Gray Gray Gray Blue Blue Blue Blue Black
Gray Gray Gray Gray Blue Black Black Black Black
Gray Gray Gray Gray Blue Blue Blue Blue Black
Black Black Black Black Black Black Black Black Black


Example 2
Input:
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 Yellow Yellow Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow
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 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 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 Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black
Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black
Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black
Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black
Yellow Yellow Yellow Yellow Black Black Black 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 Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown
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 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 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 Black Black Black Black Black Black Black Black Brown Brown Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black
Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black
Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black
Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black
Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black


Example 3
Input:
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 Red Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Red Black Black Black Black Black Black Black Black Black
Black Black Red Red Red Red Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green
Black Black Black Black Black Black Black Black Black Black Black Green Green Green
Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Green Green
Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black
Black Black Black Black Yellow Black Black Black Black Red Red Red Red Black
Yellow Yellow Yellow Yellow Yellow Black Black Black Black Red Red Red Red Black
Yellow Yellow Yellow Yellow Black Black Black Black Black Red Red Red Red Black
Black Black Black Black Black Black Black Black Black Red Red Red Red Black
Black Black Black Black Black Black Black Black Black Red Red Red 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 Black Black Black

Output:
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 Blue Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow
Brown Brown Brown Brown Black Black Black Black Black Black Black Black Yellow Yellow
Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Black Black Black Black Blue Blue Blue Blue Black
Brown Brown Brown Brown Brown Black Black Black Black Blue Blue Blue Blue Black
Brown Brown Brown Brown Black Black Black Black Black Blue Blue Blue Blue Black
Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black
Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue 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 Black Black Black


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