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 Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Black
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black
Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Purple Purple Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple

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


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

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


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 Purple Black Black
Black Black Black Black Purple 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 Blue Black Black
Black Black Black Black Blue Black Black


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