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:
Purple Yellow Pink
Brown Black Pink
Brown Black Black

Output:
Black Pink Pink Pink Yellow Yellow Yellow Purple Purple
Black Pink Pink Pink Yellow Yellow Yellow Purple Purple
Black Pink Pink Pink Yellow Yellow Yellow Purple Purple
Black Pink Pink Pink Black Black Black Brown Brown
Black Pink Pink Pink Black Black Black Brown Brown
Black Pink Pink Pink Black Black Black Brown Brown
Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Brown Brown
Black Black Black Black Black Black Black Brown Brown


Example 2
Input:
Orange Black Red
Black Red Brown
Black Black Brown

Output:
Black Red Red Red Black Black Black Orange Orange
Black Red Red Red Black Black Black Orange Orange
Black Red Red Red Black Black Black Orange Orange
Black Brown Brown Brown Red Red Red Black Black
Black Brown Brown Brown Red Red Red Black Black
Black Brown Brown Brown Red Red Red Black Black
Black Brown Brown Brown Black Black Black Black Black
Black Brown Brown Brown Black Black Black Black Black
Black Brown Brown Brown Black Black Black Black Black


Example 3
Input:
Black Black Red
Black Blue Pink
Gray Black Black

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


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