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 Blue Blue Gray Black Black Black Black Black Black
Gray Purple Purple Gray Gray Blue Blue Gray Gray Gray Gray Gray Gray Black
Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Black
Gray Purple Purple Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Black
Gray Purple Purple Gray Black Gray Purple Purple Gray Gray Gray Gray Gray Black
Gray Gray Gray Gray Gray Gray Purple Purple Gray Gray Gray Gray Gray Black
Gray Black Black Pink Black Gray Purple Purple Gray Black Black Black Black Black
Gray Black Pink Pink Black Gray Purple Purple Gray Black Black Black Black Black
Gray Black Pink Pink Pink Gray Gray Gray Gray Black Black Black Black Black
Gray Pink Pink Pink Black Gray Black Black Black Black Black Black Black Black
Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black
Gray Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Green Green Green Green Gray Red Red Red Red Gray Purple Purple Purple
Gray Green Green Green Green Gray Red Red Red Red Gray Black Purple Black
Gray Green Green Green Green Gray Gray Gray Gray Gray Gray Black Purple Black
Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Purple Purple Purple
Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray

Output:
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 Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Black
Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Black
Purple Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Purple Black Black Purple Black Purple Purple Purple Purple Black Black Black Black Black
Purple Black Purple Purple Black Purple Purple Purple Purple Black Black Black Black Black
Purple Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black
Purple Purple Purple Purple Black Purple Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Black 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 Black Purple Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Black
Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple


Example 2
Input:
Black Black Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black
Black Black Gray Yellow Yellow Gray Black Black Black Gray Black Gray Black Gray Black
Black Black Gray Yellow Yellow Gray Black Black Black Gray Gray Gray Gray Gray Black
Black Black Gray Yellow Yellow Gray Black Black Black Gray Black Gray Black Gray Black
Black Black Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black
Black Black Gray Gray Gray Gray Gray Black Black Gray Gray Black Black Gray Black
Black Black Gray Yellow Yellow Yellow Gray Black Black Gray Gray Gray Black Gray Black
Black Black Gray Yellow Yellow Yellow Gray Black Black Gray Gray Gray Gray Gray Black
Black Black Gray Gray Gray Gray Gray Black Black 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 Black Black Black Black Black Black Black Black
Black 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 Gray
Black Black Black Black Black Black Black Black Black Black Gray Red Red Red Gray
Black Black Black Black Black Black Black Black Black Black Gray Red Red Black Gray
Black Black Black Black Black Black Black Black Black Black Gray Red Red Black Gray
Black Black Black Black Black Black Black Black Black Black Gray Red Red Red Gray
Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray

Output:
Black Black Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black
Black Black Gray Gray Gray Gray Black Black Black Gray Black Gray Black Gray Black
Black Black Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black
Black Black Gray Gray Gray Gray Black Black Black Gray Black Gray Black Gray Black
Black Black Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black
Black Black Gray Gray Gray Gray Gray Black Black Gray Gray Black Black Gray Black
Black Black Gray Gray Gray Gray Gray Black Black Gray Gray Gray Black Gray Black
Black Black Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Black
Black Black Gray Gray Gray Gray Gray Black Black 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 Black Black Black Black Black Black Black Black
Black 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 Gray
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 Gray Gray Gray Black Gray
Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Gray
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 Gray Gray Gray Gray Gray


Example 3
Input:
Black Gray Green Green Green Gray Black Blue Blue Gray Gray Gray Gray Gray Gray Black Black Black Black Black
Black Gray Green Green Green Gray Blue Blue Black Gray Gray Black Black Brown Gray Black Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Brown Gray Black Gray Green Green Gray
Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Brown Brown Brown Gray Black Gray Black Green Gray
Black Gray Black Black Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray
Black Gray Gray Gray Gray Black Gray Black Yellow Yellow Black Gray Black Black Black Black Gray Gray Gray Gray
Black Gray Black Gray Gray Gray Gray Yellow Yellow Yellow Yellow Gray Black Black Black Black Gray Gray Gray Gray
Black Gray Black Gray Black Black Gray Yellow Yellow Yellow Yellow Gray Black Black Black Black Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Black Yellow Yellow Black Gray Black Black Black Black Gray Gray Gray Gray
Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black

Output:
Black Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black
Black Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Black Black Gray Gray Black Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Gray Gray Black Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black Gray Black Gray Gray
Black Gray Black Black Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray
Black Gray Gray Gray Gray Black Gray Black Gray Gray Black Gray Black Black Black Black Gray Gray Gray Gray
Black Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray
Black Gray Black Gray Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Gray
Black Gray Gray Gray Gray Gray Gray Black Gray Gray Black Gray Black Black Black Black Gray Gray Gray Gray
Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black


Here is the input grid for the test example:
Input:
Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Gray Purple Purple Gray Gray Gray Gray Gray Black Black Black Black Black Black
Orange Orange Orange Orange Gray Purple Purple Gray Black Purple Black Gray Black Black Black Gray Gray Gray
Black Orange Orange Orange Gray Gray Gray Gray Purple Purple Purple Gray Black Black Black Gray Purple Purple
Black Black Orange Orange Gray Black Black Gray Black Purple Gray Gray Gray Gray Gray Gray Purple Purple
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Purple Purple Gray Gray Gray
Gray Gray Gray Gray Gray Yellow Yellow Yellow Gray Black Gray Purple Purple Purple Black Gray Black Black
Black Brown Black Black Gray Yellow Yellow Yellow Gray Black Gray Black Purple Purple Purple Gray Gray Gray
Black Brown Brown Brown Gray Gray Gray Gray Gray Black Gray Purple Purple Black Purple Gray Gray Gray
Brown Brown Brown Black Gray Yellow Yellow Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray
Black Black Brown Black Gray Yellow Yellow Gray Black Black Black Black Black Black Black Gray Gray Gray


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