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

Output:
Black Black Black Black Black Black Black Orange Orange Orange
Black Black Yellow Yellow Yellow Black Black Black Black Orange
Black Black Black Yellow Yellow Black Black Black Black Orange
Black Black Black Yellow Yellow Black Black Black Black Black
Orange Black Black Yellow Yellow Yellow Orange Black Black Black
Orange Black Black Black Black Black Orange Black Black Black
Orange Orange Orange Black Orange Black Orange Orange Orange Black
Black Yellow Yellow Black Orange Orange Orange Yellow Yellow Yellow
Black Black Yellow Yellow Black Orange Black Black Black Yellow
Black Black Yellow Black Black Black Black Black Black Yellow


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

Output:
Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Black
Black Black Black Black Black Black Yellow Yellow Yellow Black
Black Black Black Black Black Black Orange Black Yellow Black
Black Black Orange Black Black Black Orange Black Orange Black
Black Black Orange Black Orange Orange Orange Black Orange Black
Orange Orange Orange Black Yellow Black Black Orange Orange Orange
Black Black Yellow Yellow Yellow Black Black Yellow Black Black
Black Black Black Yellow Black Black Yellow Yellow Black Black
Black Black Black Black Black Yellow Yellow Black Black Black


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

Output:
Black Black Yellow Black Yellow Yellow Black Black Black Black
Black Black Yellow Yellow Yellow Black Black Orange Orange Orange
Yellow Yellow Yellow Yellow Orange Orange Orange Black Orange Black
Black Black Black Black Black Orange Black Black Orange Black
Black Black Black Black Black Orange Black Black Black Black
Yellow Black Black Orange Black Black Black Yellow Black Black
Yellow Yellow Yellow Orange Black Black Black Yellow Black Black
Yellow Orange Orange Orange Yellow Yellow Yellow Yellow Black Black
Black Black Black Black Yellow Black Black Black Black Black
Black Black Black Black Yellow Yellow Yellow Black Black Black


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

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