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 Red Red Red Black Black Black Black
Black Black Black Red Red Red Black Blue Blue Blue
Black Black Black Red Red Red Black Blue Blue Blue
Black Black Black Black Black Black Black Blue Blue Blue
Gray Gray Gray Black Black Black Brown Brown Brown Black
Gray Gray Gray Black Black Black Blue Blue Brown Black
Gray Gray Gray Black Black Black Blue Blue Brown 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 Purple Purple Black

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


Example 2
Input:
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 Brown Brown Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black
Orange Orange Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Pink Pink Black Brown Brown Gray Gray Gray
Black Black Black Black Pink Pink Black Brown Brown Gray Gray Gray
Black Black Black Black Black Black Black Brown Brown Brown Gray Gray
Pink Pink Pink Black Black Black Pink Pink Black Black Black Black
Pink Pink Pink Black Black Black Pink Pink Black Black Black Black
Pink Pink Pink 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 Yellow Yellow Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Black Black Black Black Black
Yellow Yellow 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 Yellow Yellow Black Brown Brown Gray Gray Gray
Black Black Black Black Yellow Yellow Black Brown Brown Gray Gray Gray
Black Black Black Black Black Black Black Brown Brown Brown Gray Gray
Gray Gray Gray Black Black Black Pink Pink Black Black Black Black
Gray Gray Gray Black Black Black Pink Pink 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


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

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


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