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

Output:
Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Black Black
Black Black Black Black Black Black Gray Gray Gray Gray Gray Pink Black Black Black Black Gray Gray Orange Gray Orange Black
Black Black Black Black Black Black Gray Gray Gray Gray Pink Pink Pink Black Black Black Gray Gray Gray Orange Black Black
Black Black Black Gray Gray Gray Gray Gray Gray Pink Pink Gray Pink Pink Black Black Gray Gray Gray Gray Gray Gray
Black Black Black Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black
Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Pink Black Black Black Black Black Black Black Black Black Black
Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black
Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black
Black Black Black Gray Gray Gray Orange Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Gray Gray Orange Gray Orange Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Gray Gray Gray Orange Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Gray Gray Gray Gray Gray Purple Purple Purple Gray Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Orange Black Black Black Black Black Black Black
Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Purple Black Orange Gray Orange Black Black Black Black Black Black
Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Black Black Black Black Black Black Black


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 Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Red Red Gray Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Gray Gray Gray Gray Gray Red Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Gray Gray Gray Gray Gray Black Brown Black Black Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Black Black Black Black Black Black Blue Black Black
Black Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Blue Blue Blue Black
Black Black Black Gray Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Blue Blue Gray Blue Blue
Black Black Black Black Brown Brown Brown Brown Gray Brown Brown Brown Brown Black Black Black Blue Blue Blue Black
Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Blue Black Black
Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Brown 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 Black Black Black Black
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black
Gray Gray Gray Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Gray Red Red Gray Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Red Gray Gray Gray Gray Gray Red Black Black Black Black Black 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 Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Black Gray Gray Gray Gray Gray Blue Black Black
Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Blue Blue Blue Black
Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Blue Blue Gray Blue Blue
Gray Gray Gray Gray Brown Brown Brown Brown Gray Brown Brown Brown Brown Black Black Black Blue Blue Blue Black
Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Blue Black Black
Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Black Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Brown Black Black Black Black Black Black Black Black Black Black Black


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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Red Gray Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Gray Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
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 Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black 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 Gray Gray Red Gray Red Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black
Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black
Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Green Green Green Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Green Green Gray Green Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Green Green Green Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray 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


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