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

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


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

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


Example 3
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 Blue Black Black Blue Black Black Blue Black Black
Black Black Black Black Black Blue Black Black Blue Blue Blue Blue Black Black
Black Yellow Black Blue Blue Blue Black Black Blue Blue Blue Blue 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 Yellow Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Yellow Black Black
Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Yellow Black
Black Black Black Black Black Black Black Black Blue Blue Black Yellow Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black

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 Purple Black Black Purple Black Black Purple Black Black
Black Black Black Black Black Purple Black Black Purple Purple Purple Purple Black Black
Black Orange Black Purple Purple Purple Black Black Purple Purple Purple Purple Black Black
Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black
Black Orange Black Black Black Black Black Black Black Black Black Orange Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Orange Black Black
Black Black Black Black Black Black Black Black Purple Purple Orange Orange Orange Black
Black Black Black Black Black Black Black Black Purple Purple Black Orange Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black


Here is the input grid for the test example:
Input:
Black Black Black Blue Blue Black Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Blue Blue Black Yellow Yellow Yellow Yellow Black Black Black Black
Black Black Black Blue 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 Yellow Yellow 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 Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black
Black Yellow Black Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Black Black
Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black
Black Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow
Black Black Black Black Black Black Black Yellow Black Black Yellow Black Yellow Yellow
Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow
Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black
Black Black 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 Purple Purple Black Orange Orange Orange Orange Black Black Black Black
Black Black Black Purple Purple Black Orange Orange Orange Orange Black Black Black Black
Black Black Black Purple 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 Orange Orange Black Black Black Black Black Black Black Black Black
Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black
Black Black Black Orange Orange Black Black Orange Orange Black Black Black Black Black
Black Orange Black Orange Orange Black Black Black Orange Orange Orange Orange Black Black
Orange Orange Orange Black Black Black Black Black Orange Orange Orange Orange Black Black
Black Orange Black Black Black Black Black Black Black Black Black Black Orange Orange
Black Black Black Black Black Black Black Orange Black Black Orange Black Orange Orange
Black Black Black Black Black Black Black Orange Orange Orange Orange Black Orange Orange
Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black
Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black
```
assistant