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 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 Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Green Black Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Blue Blue Blue Blue Blue Green Green Green Black Black Black Black Black Black
Black Black Black Black Red Red Red Black Blue Blue Blue Blue Green Green Green Green Green Black Black Black Black Black
Black Black Black Red Red Red Red Red Black Black Blue Black Black Green Green Green Black Black Black Black Black Black
Black Black Black Black Red Red Red Red Red Black Black Black Black Black Green Black Black Blue Black Green Black Black
Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Blue Blue Blue Green Green Black
Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black
Black Black Black Red Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Black Black Black
Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Red Red Red Red Red Black Black Black Green Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Black Black Black Green Green Red Red Red Red Red Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Green Green Red Red Red Red Red Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Green Green Red Red Red Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Green Green Red Red Red Red Red 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 Blue Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Green Black Black Black Black Black Black Black
Black Black Black Black Black Blue Black Black Blue Blue Blue Blue Blue Green Green Green Black Black Black Black Black Black
Black Black Black Black Blue Blue Blue Black Blue Blue Blue Blue Green Green Green Green Green Black Black Black Black Black
Black Black Black Blue Blue Blue Blue Blue Black Black Blue Black Black Green Green Green Black Black Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Green Black Black Blue Black Orange Black Black
Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Blue Orange Orange 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 Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black
Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Green Black Red Black Black Black Black Black Black Black
Black Black Black Black Black Black Blue Black Black Black Green Green Red Red Red Red Red Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Green Green Red Red Red Red Red Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Green Green Red Red Red Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Green Green Red Red Red Red Red 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 Black Black Black Black Black Green Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Green Green
Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Green Blue Blue Blue Green
Black Blue Black Black Black Black Black Black Black Red Red Red Red Red Green Green Green Blue Green Green
Blue Blue Blue Blue Black Black Black Black Black Red Red Red Red Red Black Green Green Green Green Green
Blue Blue Blue Blue Black Black Black Black Red Red Red Red Red Red Red Green Green Green Green Green
Blue Blue Blue Blue Green Red Black Black Black Red Red Red Red Red Black Black Black Green Black Black
Blue Blue Green Green Green Green Green Black Black Red Red Red Red Red Black Black Black Black Black Black
Blue Blue Green Green Green Green Green Black Black Black Black Red Black Black Black Black Black Black Black Black
Black Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Green Green Green Green Green Green Green Black Black Black Black Black Black Blue Black Black Black Black Black
Black Black Green Green Green Green Green Black Black Black Black Black Black Blue Blue Blue Black Black Black Black
Black Black Green Green Green Green Green Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black
Black Black Black Black Green Black Black Black Black Green Black Black Black Blue Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Green Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Green 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 Black Black Black Black Black Green Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Green Green
Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Green Blue Blue Blue Green
Black Blue Black Black Black Black Black Black Black Red Red Red Red Red Green Green Green Blue Green Green
Blue Blue Blue Blue Black Black Black Black Black Red Red Red Red Red Black Green Green Green Green Green
Blue Blue Blue Blue Black Black Black Black Red Red Red Red Red Red Red Green Green Green Green Green
Blue Blue Blue Blue Blue Orange Black Black Black Red Red Red Red Red Black Black Black Green Black Black
Blue Blue Blue Blue Blue Blue Blue Black Black Red Red Red Red Red Black Black Black Black Black Black
Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Red Black Black Black Black Black Black Black Black
Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Black Black Black Black Black
Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black
Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black
Black Black Black Black Blue Black Black Black Black Green Black Black Black Blue Blue Blue Black Black Black Black
Black Black Black Black Black Black Black Black Green Green Green Black Black Black Blue Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Green Black Black 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 Blue Black Black Red Black Black Black
Black Black Black Black Red Black Black Black Black Black Black Black Black Blue Blue Red Red Red Red Red Black
Black Black Red Red Red Red Red Black Black Black Black Black Blue Blue Blue Red Red Red Red Red Black
Black Black Red Red Red Red Red Black Black Black Black Black Black Blue Red Red Red Red Red Red Red
Black Red Red Red Red Red Red Red Black Black Black Black Black Black Blue Red Red Red Red Red Black
Black Black Red Red Red Blue Red Black Black Black Black Black Black Black Black Red Red Red Red Red Black
Black Black Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Red Black Black Black
Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Black Black Black
Black Blue Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black
Blue Blue Blue Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black
Blue Blue Blue Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Blue Black Black Black
Black Black Black Black Red Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black
Black Black Red Red Red Red Red Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black
Black Black Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue
Black Red Red Red Red Red Red Red Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black
Black Black Red Red Red Blue Red Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black
Black Black Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Black Black Black
Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Black Black Black
Black Blue Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black
Blue Blue Blue Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black
Blue Blue Blue Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Blue Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black
Black Black Black Black Black 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 Red Red Red Black Black Black
Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Red 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 Blue Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Blue Black Black
Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Green Black Blue Black Blue Red Black
Blue Blue Blue Blue Blue Black Black Black Black Black Black Green Green Green Blue Blue Blue Red Red
Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Green Blue Blue Blue Blue Red Red
Black Black Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Red
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Red Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Red Black Black Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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


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 Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black
Black Black Black Black Black 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 Red Red Red Black Black Black
Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Red Black Black Black Black
Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black
Black Black Blue Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Blue Black Black
Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black
Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Orange Black Blue Black Blue Red Black
Blue Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange Blue Blue Blue Red Red
Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Orange Blue Blue Blue Blue Red Red
Black Black Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Red
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Red Black
Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black
Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Orange Black Black Black Black Black Black Black 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