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 Yellow Black Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Yellow Black Black Purple Purple Purple Black Black Black Black
Black Black Yellow Yellow Yellow Black Purple Purple Purple Purple Black Black Black
Black Black Black Yellow Black Black Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black
Purple Purple Purple Black Black Black Purple Yellow Purple Purple Purple Purple Black
Purple Purple Purple Purple Purple Purple Yellow Yellow Purple Purple Purple Purple Black
Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Purple Purple 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 Black Black Black Black Black Black Black Black Black

Output:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


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

Output:
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue


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

Output:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


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

```
Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Red Red Red Red Red Red Red Red Red Red Red Red Red Red
```
assistant