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:
Blue Blue Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Blue Black Blue Blue Blue Black Black
Black Black Black Black Black Black Blue Black Blue Blue Black
Black Black Black Black Blue Blue Black Blue Blue Black Black
Black Black Blue Black Black Black Blue Black Black Blue Black
Black Black Blue Black Black Blue Black Blue Blue Black Black
Black Black Black Black Blue Blue Blue Black Black Black Black
Black Black Black Blue Blue Blue Blue Blue Black Blue Black
Black Black Blue Black Blue Black Black Blue Black Blue Black
Black Black Black Black Black Black Black Black Black Black Black

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


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

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


Example 3
Input:
Orange Orange Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Orange Orange Orange Orange Black Black Black Orange Black Black
Black Black Black Purple Purple Black Black Purple Purple Purple Black Black Black
Black Black Black Black Orange Orange Black Orange Orange Black Orange Black Black
Black Black Purple Black Purple Purple Black Black Black Black Black Black Black
Black Black Black Orange Black Orange Orange Black Orange Black Orange Black Black
Black Black Purple Black Black Black Purple Black Purple Purple Purple Black Black
Black Black Orange Black Black Orange Black Black Orange Black Orange Orange Black
Black Black Purple Purple Black Purple Black Purple Black Black Purple Black Black
Black Black Black Black Black Orange Orange Black Black Black Black Orange Black
Black Black Purple Purple Purple Black Black Black Purple Purple Black Purple Black
Black Black Black Black Black Black Black Black Black Black Black Black Black

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


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

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