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


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


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 Red Red Black Black Blue Blue Pink Pink Black Black Red Red Black Black Blue Blue Pink Pink
Black Black Red Red Black Black Blue Blue Pink Pink Black Black Red Red Black Black Blue Blue Pink Pink
Gray Gray Black Black Black Black Yellow Yellow Green Green Gray Gray Black Black Black Black Yellow Yellow Green Green
Gray Gray Black Black Black Black Yellow Yellow Green Green Gray Gray Black Black Black Black Yellow Yellow Green Green
Purple Purple Black Black Brown Brown Gray Gray Black Black Purple Purple Black Black Brown Brown Gray Gray Black Black
Purple Purple Black Black Brown Brown Gray Gray Black Black Purple Purple Black Black Brown Brown Gray Gray Black Black
Orange Orange Gray Gray Black Black Black Black Brown Brown Orange Orange Gray Gray Black Black Black Black Brown Brown
Orange Orange Gray Gray Black Black Black Black Brown Brown Orange Orange Gray Gray Black Black Black Black Brown Brown
Brown Brown Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Blue Blue Pink Pink Black Black Red Red Black Black Blue Blue Pink Pink
Black Black Red Red Black Black Blue Blue Pink Pink Black Black Red Red Black Black Blue Blue Pink Pink
Gray Gray Black Black Black Black Yellow Yellow Green Green Gray Gray Black Black Black Black Yellow Yellow Green Green
Gray Gray Black Black Black Black Yellow Yellow Green Green Gray Gray Black Black Black Black Yellow Yellow Green Green
Purple Purple Black Black Brown Brown Gray Gray Black Black Purple Purple Black Black Brown Brown Gray Gray Black Black
Purple Purple Black Black Brown Brown Gray Gray Black Black Purple Purple Black Black Brown Brown Gray Gray Black Black
Orange Orange Gray Gray Black Black Black Black Brown Brown Orange Orange Gray Gray Black Black Black Black Brown Brown
Orange Orange Gray Gray Black Black Black Black Brown Brown Orange Orange Gray Gray Black Black Black Black Brown Brown
Brown Brown Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Brown Brown 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 Black Black Black Black Gray Gray Black Black Black Black
Gray Gray Black Black Black Black Gray Gray Black Black Black Black
Black Black Blue Blue Black Black Black Black Blue Blue Black Black
Black Black Blue Blue Black Black Black Black Blue Blue Black Black
Gray Gray Black Black Black Black Gray Gray Black Black Black Black
Gray Gray Black Black Black Black Gray Gray Black Black Black Black
Gray Gray Black Black Black Black Gray Gray Black Black Black Black
Gray Gray Black Black Black Black Gray Gray Black Black Black Black
Black Black Blue Blue Black Black Black Black Blue Blue Black Black
Black Black Blue Blue Black Black Black Black Blue Blue Black Black
Gray Gray Black Black Black Black Gray Gray Black Black Black Black
Gray Gray Black Black Black Black Gray Gray Black Black Black Black
```
assistant