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 Blue Black Yellow Black Black Black Blue Blue Black Black Yellow Black Black Black
Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black
Black Blue Black Black 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
Blue Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Blue
Black Black Blue Black Black Yellow Blue Black Black Black Black Yellow Yellow Black Blue Black Black
Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Yellow Black Blue Black Blue Black Black Black Black Black Black Black Black Blue
Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black
Black Black Blue Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Yellow Black Black Black Black Black Black Black Black Yellow
Black Yellow 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

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


Example 2
Input:
Black Black Black Black Yellow Black Black Yellow Black Black Black Black Black Black Yellow
Blue Black Black Black Yellow Black Black Black Black Black Black Blue Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow
Black Black Black Yellow Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black
Black Yellow Black Blue Black Blue 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 Blue Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Yellow Black Black Black Blue 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 Blue Black Black Black Black Black Black

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


Example 3
Input:
Black Black Black Black Black Black Yellow Black Black Black Blue Yellow Black Black Black Black
Black Black Yellow Black Black Black Black Black Blue Black Black Blue Black Blue Black Black
Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Yellow
Black Black Black Yellow Black Blue Black Black Black Black Yellow Black Yellow Blue Black Black
Black Black Black Yellow Black Black Blue Black Black Black Black Black Blue Black Black Black
Black Black Blue Black Black Black Black Black Yellow Black Black Black Black Black Black Black
Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black
Black Black Black Black Black Black Yellow Yellow Black Black Yellow Black Black Blue 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 Black Black Black Black Black Black Black
Yellow Black Black Blue Blue Black Black Black Black Blue Black Yellow Black Yellow Black Black

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


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

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