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

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
Purple Purple Purple Black Black Black Black Yellow Yellow Purple Purple Purple Purple
Purple Purple Purple Black Black Black Black Yellow Yellow Purple Purple Purple Purple
Purple Purple Purple Black Black Yellow Yellow Black Black Purple Purple Purple Purple
Purple Purple Purple Black Black Yellow Yellow Black Black Purple Purple Purple Purple
Purple Purple Purple Black Black Yellow Yellow Black Black Purple Purple Purple Purple
Purple Purple Purple Black Black Yellow Yellow Black Black 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 Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


Example 2
Input:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Black Black Black Gray Gray Gray Gray Gray Red Red Red
Gray Blue Black Black Gray Black Black Gray Gray Red Red Red
Gray Black Blue Black Gray Gray Black Gray Gray Red Red Red
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Brown Brown Brown Gray Gray Black Black Gray Gray Gray Gray
Gray Brown Brown Brown Gray Black Gray Black Gray Gray Gray Gray
Gray Brown Black Brown Gray Black Black Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Black Black Gray Gray Brown Brown Brown Gray Brown Brown Brown
Gray Gray Gray Black Gray Brown Brown Brown Gray Brown Brown Brown
Gray Gray Gray Gray Gray Brown Brown Brown Gray Brown Brown Brown

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 Black Black Black Black Black Black Purple Purple Purple
Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple
Purple Purple Purple Blue Blue Black Black Black Black Purple Purple Purple
Purple Purple Purple Blue Blue Black Black Black Black Purple Purple Purple
Purple Purple Purple Black Black Blue Blue Black Black Purple Purple Purple
Purple Purple Purple Black Black Blue Blue Black Black 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


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


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

```
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 Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Orange Orange Orange Orange Black Black Purple Purple Purple Purple
Purple Purple Purple Purple Orange Orange Orange Orange Black Black Purple Purple Purple Purple
Purple Purple Purple Purple Black Black Black Black Orange Orange Purple Purple Purple Purple
Purple Purple Purple Purple Black Black Black Black Orange Orange Purple Purple Purple Purple
Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple Purple
Purple Purple Purple Purple Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
```
assistant