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

Output:
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Brown Blue Blue Brown Blue Blue Blue Blue Blue Blue Blue
Blue Blue Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue
Blue Blue Brown Blue Blue Brown Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Gray Purple Purple Purple Blue Blue Blue Blue
Blue Blue Blue Blue Blue Gray Purple Purple Purple Blue Blue Blue Blue
Purple Purple Blue Blue Blue Blue Purple Purple Purple Blue Blue Blue Blue
Purple Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Purple Purple Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue
Purple Purple Blue Blue Blue Yellow Blue Yellow Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Yellow Blue Yellow Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue


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

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Orange Purple Orange Orange Purple Purple Purple Purple Purple
Purple Purple Purple Orange Orange Orange Orange Purple Purple Purple Purple Purple
Purple Purple Purple Orange Orange Purple Purple Purple Purple Purple Purple Purple
Purple Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple
Brown Brown Brown Brown Purple Purple Green Green Green Green Purple Purple
Brown Brown Brown Brown Purple Purple Green Green Green Green Purple Purple
Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple
Brown Brown Brown Brown Purple Gray Gray Gray Gray Purple Purple Purple
Purple Purple Purple Purple Purple Gray Gray Gray Gray Purple Purple Purple


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

Output:
Gray Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Green Gray Green Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Pink Pink Pink Gray Gray Gray Gray Gray
Gray Gray Gray Gray Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Purple Purple Purple Purple Gray Blue Blue Blue Blue Gray
Gray Gray Gray Gray Purple Purple Purple Purple Gray Blue Blue Blue Blue Gray
Gray Gray Gray Gray Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow


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 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 Purple Purple Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Purple Black Black Black Black Black
Black Black Black Black Black Brown Brown Brown Purple 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
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 Red Black
Black Black Black Black Black Black Black Brown Brown Black Red Red Red Black
Black Black Black Black Black Black Brown Brown Brown Black Black Red Red Black
Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Black Black Blue Blue Blue Blue 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Brown Brown Brown Purple Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Brown Brown Brown Purple Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Gray
Gray Gray Gray Gray Gray Gray Gray Brown Brown Gray Red Red Red Gray
Gray Gray Gray Gray Gray Gray Brown Brown Brown Gray Gray Red Red Gray
Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Gray Gray
```
assistant