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 Black 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 Black Black Black Black
Black Black Black Black Black Black Black Purple Purple Yellow Yellow Yellow Black
Blue Blue Blue Blue Black Black Black Purple Purple Yellow Yellow Yellow Black
Blue Blue Blue Blue Black Black Black Purple Purple Yellow Black Yellow Black
Blue Blue Blue Blue Brown Brown Brown Brown Black Yellow Yellow Yellow Black
Blue Blue Blue Blue Brown Brown Brown Brown Black Gray Black Gray Black
Black Black Black Black Brown Brown Brown Brown Black Gray Gray Gray Black
Black Black Black Black Black Black Black Black Black Gray Gray 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
Gray 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 Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Purple Purple Gray Gray Gray Black
Blue Blue Blue Blue Black Black Black Purple Purple Gray Gray Gray Black
Blue Blue Blue Blue Black Black Black Purple Purple Gray Black Gray Black
Blue Blue Blue Blue Brown Brown Brown Brown Black Gray Gray Gray Black
Blue Blue Blue Blue Brown Brown Brown Brown Black Gray Black Gray Black
Black Black Black Black Brown Brown Brown Brown Black Gray Gray Gray Black
Black Black Black Black Black Black Black Black Black Gray Gray 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
Gray Black Black Black Black Black Black Black Black Black Black Black Black


Example 2
Input:
Black Black Black Purple Purple Black Black Black Black Black Black Black
Black Black Black Purple Purple Black Black Black Black Black Black Black
Black Black Black Purple Purple Black Black Black Black 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 Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Green Green Green Green Orange Orange Orange Orange Black Black
Black Black Green Green Green Green Orange Orange Orange Orange Black Black
Black Black Black Black Black Black Orange Orange Orange Orange Black Black
Black Black Black Black Pink Pink Pink Black Black Black Black Black
Orange Black Black Black Pink Pink Pink Black Black Black Black Black

Output:
Black Black Black Purple Purple Black Black Black Black Black Black Black
Black Black Black Purple Purple Black Black Black Black Black Black Black
Black Black Black Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Orange Orange Gray Gray Black
Black Black Black Black Black Black Black Orange Orange Gray 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 Green Green Green Green Orange Orange Orange Orange Black Black
Black Black Green Green Green Green Orange Orange Orange Orange Black Black
Black Black Black Black Black Black Orange Orange Orange Orange Black Black
Black Black Black Black Pink Pink Pink Black Black Black Black Black
Orange Black Black Black Pink Pink Pink Black Black Black Black Black


Example 3
Input:
Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black
Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black
Black Blue Blue Blue Blue Pink Black Pink Black Black Black Black Black Black
Black Blue Blue Blue Blue Pink Pink Pink Black Black Black Black Black Black
Green Green Green Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black
Black Yellow Yellow Yellow Yellow Pink Black Pink Black Black Black Black Black Black
Black Yellow Yellow Yellow Yellow Pink Pink Pink Black Black Black Black Black Black
Green Green Green Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow 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 Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple 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 Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Red Red Red Gray Gray Gray Gray
Black Black Black Black Black Black Black Red Red Red Gray Gray Gray Gray
Black Black 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 Brown Brown Brown Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black 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 Black Black Black
Black Black Black Black Black 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 Black Black Black Black Black Black Black Black
Black Black Black Black Red Red 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 Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Red Red Red Red Red Red Red
Black Black Black Black Black Black Black Red Red Red Red Red Red Red
Black Black 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 Brown Brown Brown Black Black Black Black Black Black
Red Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant