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:
Red Red Red Red Black Black Black Black Blue Blue Black Black
Red Red Red Red Red Black Black Blue Blue Blue Blue Black
Red Blue Blue Red Black Black Black Black Blue Blue Black Black
Red Blue Blue Black Black Black Black Black Black Black Black Black
Black Blue Blue Blue Blue Black Blue Blue Black Black Black Black
Black Blue Blue Blue Blue Black Blue Blue Blue 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

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


Example 2
Input:
Red Red Blue Black Black Black Black Black Black Black
Red Blue Blue Blue Black Black Black Black Black Black
Red Blue Blue Blue Black Black Black Black Black Black
Red Red Blue Black Black Black Black Black Blue Blue
Red Red Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Blue Blue
Black Black Black Black Black Black Black Black Blue Blue

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


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


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

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