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:
Yellow Yellow Yellow Yellow
Yellow Black Black Yellow
Yellow Black Black Yellow
Yellow Yellow Yellow Yellow
Black Black Black Black
Yellow Yellow Yellow Yellow
Yellow Yellow Black Black
Yellow Yellow Black Black
Yellow Yellow Yellow Yellow
Black Black Black Black
Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow
Yellow Yellow Yellow Yellow

Output:
Purple Purple Purple
Blue Blue Blue
Orange Orange Orange


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

Output:
Blue Blue Blue
Purple Purple Purple
Orange Orange Orange


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

Output:
Blue Blue Blue
Orange Orange Orange
Purple Purple Purple


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


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:

```
Orange Orange Orange
Blue Blue Blue
Purple Purple Purple
```
assistant