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 Pink Brown Black Pink
Brown Black Black Orange Black
Black Orange Blue Black Yellow
Red Black Green Purple Green

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


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

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


Example 3
Input:
Black Red Black Blue Pink
Gray Black Black Yellow Green
Purple Black Brown Gray Black
Orange Gray Black Black Brown
Brown Black Black Black Black

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


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

```
Gray Gray Gray Black Black Black Black Black Black
Gray Gray Gray Black Black Black Black Black Black
Gray Gray Gray Black Black Black Black Black Black
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
Gray Gray Gray Black Black Black Black Black Black
Gray Gray Gray Black Black Black Black Black Black
Gray Gray Gray Black Black Black Black Black Black
```
assistant