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

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


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

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


Example 3
Input:
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 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 Blue Black Black Black Black Purple Purple Purple Purple Purple
Purple Black Black Blue Blue Blue Blue Blue Black Black Purple Purple Purple Purple Purple
Purple Black Blue Blue Blue Blue Blue Blue Blue Black Purple Purple Purple Purple Purple
Purple Black Blue Blue Blue Blue Blue Blue Blue Black Purple Purple Purple Purple Purple
Purple Blue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple
Purple Black Blue Blue Blue Blue Blue Blue Blue Black Purple Purple Purple Purple Purple
Purple Black Blue Blue Blue Blue Blue Blue Blue Black Purple Purple Purple Purple Purple
Purple Black Black Blue Blue Blue Blue Blue Black Black Purple Purple Purple Purple Purple
Purple Black Black Black Black Blue Black 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
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple

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


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


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:

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