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

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


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 Orange Orange Black Black
Green Green Black Black Black Black Black Black Black Black Black Orange Gray Orange Black
Green Gray Green Black Black Black Black Black Black Black Black Orange Black Black Black
Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Purple Gray Purple Black Black Black Black Black Black Black
Black Black Black Black Black 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 Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black 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 Yellow Black Black
Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black
Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Black Black Black
Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black
Black Black Black Black Black 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 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 Gray Gray 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 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 Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Gray Pink Black Black Black Black Black Black Black Black Black Black Black
Black Black Pink Black Black Black Black Green Green Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Green Gray Green 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 Purple

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


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 Brown Brown Black Black Black Black
Black Black Black Black Red Red Black Black Brown Gray Brown Black Black Black
Black Black Black Black Red Gray Red Black Brown 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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black 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 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 Gray Black Purple


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:

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