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 Black Black 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
Black Black Black Black Black Black Black Black Black Black Yellow Blue 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 Black Black Black Yellow Yellow Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red 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 Black Black Black 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 Black Blue Blue Black 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 Black Black Black Black Black Black Black Black Black Black

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


Example 2
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 Blue Blue Black Black
Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Black Black
Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Yellow Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Blue 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 Green Blue 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 Black Black Black Black Black Black Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black
Purple Purple Purple Purple Black Black Black Black Black Black Purple Black Black Purple Black
Purple Black Black Purple Black Black Black Black Black Black Purple Black Black Purple Black
Purple Black Black Purple Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black
Purple Purple Blue Blue Purple Black Black Purple Black Black Black Black Black Black Black
Black Black Blue Blue Purple Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Purple Purple Black Purple Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Purple Black Black Purple Black Black
Black Black Black Black Black Black Black Black Black Purple Yellow Green Purple Purple Purple
Black Black Black Black Black Black Black Black Black Purple Blue Yellow Purple Black 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 Purple Purple Purple


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 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 Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Red
Black Blue Green Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue 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 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 Blue Blue 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 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 Black Black Black Black Black Black Black Purple Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black
Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Black Black
Purple Black Black Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple
Purple Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Black Black Black Purple Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Black Purple Black Black Purple Black Black Black Black Black
Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black


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

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