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 Red Red Red Red Red Black Black
Black Black Black Black Red Red Red Red Black Black Black
Black Black Black Black Red Red Red Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black
Black Black Black Black Red 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 Blue Blue Blue Blue Black
Black Black Black Black Black Black Blue Blue Blue Blue Black
Black Black Black Black Black Black Blue Blue Blue Blue Black
Black Black Black Black Black Black Blue Blue 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

Output:
Black Black Black Black Red Red Red Red Red Black Black
Black Black Black Black Red Red Red Red Black Black Black
Black Black Black Black Red Red Red Black Black Black Black
Black Black Black Black Red Red Red Red Black Black Black
Black Black Black Black Red 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 Blue Blue Blue Blue Black
Black Black Black Black Black Black Blue Blue Blue Blue Black
Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black
Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black
Blue Blue Blue Blue Black Black Black Black Black Black Black
Blue Blue Blue Blue Black Black Black Black Black 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
Black Black Black Black Black Black Orange Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Orange Orange Black Black Black Black
Red Red Red Red Red Black Black Orange Orange Black Black Black Black
Red Red Red Red Red Black Orange Orange Orange Black Black Black Black
Red Red Red Red Red Black Black Black Black Black Black Black Black
Red Red Red Red Red Black Black Black Black Black Black Black Black
Red Red Red Red Red Black Black Blue Blue Blue Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Black Black Black
Black Black Black Black Black Black Black Blue Blue Blue 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 Orange Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Orange Orange Black Black Black Black
Black Black Black Black Black Black Black Orange Orange Black Black Black Black
Red Red Red Red Red Black Black Orange Orange Black Black Black Black
Red Red Red Red Red Black Orange Orange Orange Black Black Black Black
Red Red Red Red Red Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Black Black Blue Blue Blue Black Black Black
Blue Blue Blue Blue Blue Black Black Black Blue Blue Black Black Black
Blue Blue Blue Blue Blue Black Black Blue Blue Blue Black Black Black
Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black


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 Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Blue Black Blue Black Black
Blue Black Blue Blue Black Blue Blue Blue Blue Black Black
Blue Blue Blue Black Black Black Black Black Black Black Black
Blue Black Blue Blue Black Black Black Black Black Black Black
Black Black Black Black Black Red Red Red Red Red Black
Black Black Black Black Black Red Red Red Red Red Black
Black Black Black Black Black Red Red Red Red Red Black
Black Black Black Black Black Red Red Red Red Red Black
Black Black Black Black Black Red Red Red Red Red 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 Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Blue Black Blue Black Black
Blue Black Blue Blue Black Blue Blue Blue Blue Black Black
Blue Blue Blue Black Black Black Black Black Black Black Black
Blue Black Blue Blue Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Red Red Red Red Red Black
Blue Blue Blue Blue Blue Red Red Red Red Red Black
Blue Blue Blue Blue Blue Red Red Red Red Red Black
Blue Blue Blue Blue Blue Red Red Red Red Red Black
Blue Blue Blue Blue Blue Red Red Red Red Red Black


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


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 Purple Purple Purple Black Black Black
Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Red Blue Blue Black Black Black
Red Red Red Red Black Blue Blue Black Black Black
Black Red Red Red Blue Blue Blue Black Black Black
Red Red Red Red Black Blue Blue Black Black Black
Red Red Red Red Red Blue Blue Black Black Black
Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Black Black Orange Orange Orange Orange
Black Blue Blue Black Black Black Black Orange Orange Black
Blue Blue Blue Blue Black Black Orange Orange Orange Orange
```
assistant