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

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


Example 2
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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Gray Orange Gray Orange 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 Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Orange Orange Orange Black
Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Gray Gray Orange Black
Black Black Black Orange Orange Gray Orange Black Black Black Black Gray Gray Purple Gray Black Black Black Black Black Black Black Black Orange Gray Gray Gray Black
Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Purple Black Gray Gray Gray Gray Black Black Black Gray Orange Orange Gray Black
Black Black Black Black Black Black Black Black Black Black Black Purple Gray Gray Gray Black Orange Gray Gray Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Gray Gray Black Purple Purple Gray Purple Black Orange Gray Gray Orange Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Orange Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Gray Gray Gray 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 Red Red 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 Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Gray 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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Gray Gray Gray Black Black Black Black Black Brown Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Gray Gray Brown Black Black Black Black Black Brown Brown Gray Gray 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 Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Brown Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Green Gray Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Gray Gray Pink Black Black Gray Gray Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Gray Gray Gray Black Black Gray Green Green Gray Black Black
Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Yellow Black Black Black Pink Pink Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Yellow Gray Gray Gray 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 Yellow 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 Yellow Yellow 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

Output:
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 Gray
Gray Yellow Yellow Gray Yellow Gray Gray Gray Gray Gray
Gray Yellow Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Yellow Gray Gray Gray Gray Gray
Gray Gray Gray Yellow Yellow Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


Example 3
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 Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Gray Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Gray Gray Gray Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Gray Gray Gray Yellow Black Black Black Black Black Red Gray Gray Gray Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Gray Gray Yellow Black Black Black Black Black Red Red Gray Red Black Black Black Black Black Black Black
Black Black Gray Gray Orange Gray Black Black Gray Gray Yellow Yellow 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 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 Gray Gray Purple Purple Black Black Black Black Black Gray Gray Gray Gray Black
Black Black Gray Orange Orange Gray Black Black Black Black Black Black Black Black Gray Gray Gray Purple Black Black Black Black Black Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Purple Black Black Black Black Black Yellow Gray Gray Gray Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Purple Gray Black Black Black Black Black Gray Gray Yellow Gray Black
Black Black Gray Gray Gray Gray 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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Gray Gray Gray Pink Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Gray Gray Gray Black Black Brown Gray Gray Gray 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 Brown Gray 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 Gray Yellow Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Green Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Gray Yellow Yellow Yellow Black Black Black Black Black Black
Black Black Black Black Black Black Green Gray 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 Black Black
Black Black Black Black Black Black Black Black Brown Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown Gray Gray 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 Gray Gray Gray 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 Gray Gray Gray Gray 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
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

Output:
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 Brown Gray Gray Gray Gray Gray Gray Gray Gray
Gray Brown Gray Gray Brown Yellow Gray Gray Gray Gray
Gray Gray Gray Gray Brown Yellow Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Green Gray Green Green Yellow Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


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 Orange Orange Gray Orange 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Gray Gray Orange Black Black Black Black Black Black Black Black
Black Black Black Gray Gray Gray Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Orange Gray Gray Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Black
Black Black Black Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Orange Gray Gray Gray Black
Black Black Black Orange Orange Gray Gray Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Orange Gray Gray Orange Black
Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Orange Gray Gray Gray Black
Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Pink Gray 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Red Red Red Black Black Black Red Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Gray Red Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Red Black Black Black Black Black Black Black
Black Black Black Black Red Gray Gray Gray Black Black Black Gray Red Red Red Black Black Gray Gray Gray Red Black Black Black Black Black Black Black
Black Black Black Black Gray Gray Red Red Black Black Black Black Black Black Black Black Black Gray Gray Gray Red 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 Gray 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 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 Gray Gray Pink 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 Gray Gray Gray 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 Gray Gray Gray Black Black Black Purple Gray Purple Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Pink Pink Pink Black Black Black Gray Gray Gray Purple 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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Gray Purple Purple 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


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 Gray
Gray Purple Gray Purple Gray Red Gray Gray Gray Gray
Gray Gray Gray Gray Purple Red Gray Gray Gray Gray
Gray Gray Gray Gray Gray Red Gray Gray Gray Gray
Gray Purple Gray Purple Purple Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
```
assistant