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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue
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 Green Green Green Green Green Green Green Green Green
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Black Purple Purple Purple Purple Purple Blue Blue Green Green Green Green Green Green Blue Blue Blue
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Black Black Black
Black Black Black Black Black Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Blue Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Black Green Black Black Black
Black Black Black Black Black Blue Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Black Green Black Black Black
Black Black Black Black Black Blue Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Blue Purple Black Blue Blue Purple Purple Black Green Black Black Purple Black Green Black Black Black
Black Black Black Black Black Blue Purple Black Blue Blue Purple Purple Black Green Black Black Purple Black Green Black Black Black
Black Black Black Black Black Blue Purple Black Blue Blue Purple Purple Black Green Black Black Purple Black Green Black Black Black
Black Black Black Black Black Blue Purple Black Blue Blue Purple Purple Black Green Black Black Purple Black Green 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 Black Black Black Black Black Black Black
Black Black Black 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 Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue
Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Green Green
Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Green Green Green
Black Black Black Black Black Green Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Green Green Green Green Green Green Green Purple Purple Purple Purple Purple Blue Blue Green Green Green
Black Black Black Black Black Green Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Green Green Green Green Green Green Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Green Green Green Green Green Green Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Green Green Green Green Green Green Blue Purple Blue Blue Blue Purple Purple Purple Purple Purple Purple


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 Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Green
Black Black Red Red Red Red Red Red Black Black Black Black Black Green Green Green Green Black Black Black
Yellow Yellow Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Green Green Green Green Yellow Yellow Yellow
Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Green Green Green Green Green Green Green
Yellow Yellow Red Red Red Red Red Red Black Black Black Black Black Green Black Black Green Black Black Black
Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Green Red Red Green Red Red Red
Yellow Yellow Red Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Yellow Yellow Red Yellow Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Black Red Black Red Red Red Red Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black
Yellow Black Red Black Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red
Yellow Black Red Black Red Yellow Black Red Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black
Yellow Black Red Black Red Yellow Black Red Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black
Yellow Black Red Black Red Yellow Black Red Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Yellow Black Red Black Red Yellow Black Red Black Black Black Yellow Black Green Black Black Yellow Black Black Black
Yellow Black Red Black Red Yellow Black Red Black Black Black Yellow Black Green Black Black Yellow Black Black Black
Yellow Black Red Black Red Yellow Black Red Black Black Black Yellow Black Green Black Black Yellow Black Black Black

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green
Green Green Green Green Green Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green
Green Green Green Yellow Yellow Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Green Green Green Green
Green Green Green Yellow Yellow Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green
Green Green Green Yellow Yellow Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green
Green Green Green Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Green Red Red Green
Green Green Green Yellow Yellow Red Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red
Green Green Green Yellow Yellow Red Yellow Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow
Green Green Green Yellow Green Red Green Red Red Red Red Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow
Green Green Green Yellow Green Red Green Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow


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 Green Green Green Green Green Green Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Purple Purple Purple Purple Purple
Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Purple Purple Purple Purple Blue
Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Green Green Green Purple Purple Purple Purple Black
Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Green Green Green Purple Purple Purple Purple Purple
Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Blue Blue Purple Green Blue Purple Blue
Black Black Black Blue Black Black Blue Black Black Black Black Black Black Green Black Black Purple Green Black Purple Black
Black Black Black Blue Black Black Blue Black Black Black Black Black Black Green Black Black Purple Green Black Purple Black
Black Black Black Blue Black Black Blue Black Black Black Black Black Black Green Black Black Purple Green Black Purple Black
Black Black Black Blue Black Black Blue Black Black Black Black Black Black Green Black Black Purple Green Black Purple Black
Black Black Black Blue Black Black Blue Black Black Black Black Black Black Green Black Black Purple Green Black Purple Black
Black Black Black Blue Black Black Blue Black Black Black Black Black Black Green Black Black Purple Green Black Purple Black
Black Black Black Blue Black Black Blue Black Black Black Black Black Black Green Black Black Purple Green Black Purple Black
Black Black Black Blue Black Black Blue Black Black Black Black Black Black Green Black Black Purple Green Black Purple Black
Black Black Black Blue Black Black Blue Black Black Black Black Black Black Green Black Black Purple Green Black Purple Black
Black Black Black Blue Black Black Blue Black Black Black Black Black Black Green Black Black Purple Green Black Purple 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 Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Black Black Black Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green
Black Black Black Green Green Green Green Green Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green
Black Black Black Green Green Green Green Green Blue Blue Blue Blue Green Green Green Green Green Green Green Green Green
Black Black Black Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Blue Blue
Black Black Black Green Green Green Green Green Blue Green Green Blue Green Green Green Green Green Green Green Green Green
Black Black Black Green Green Green Green Green Blue Green Green Blue Green Green Green Green Green Green Green Green Green
Black Black Black Green Green Green Green Green Blue Green Green Blue Green Green Green Green Green Green Green Green Green
Black Black Black Green Green Green Green Green Blue Green Green Blue Green Green Green Green Green Green Green Green Green
Black Black Black Green Green Green Green Green Blue Green Green Blue Green Green Green Green Green Green Green Green Green


Here is the input grid for the test example:
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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Black Black Black Black Black Red Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Red Red Red Red Red Purple Purple Purple Purple Black Black Black Black Black
Black Black Black Black Black Red Red Red Red Red Purple Purple Purple Purple Black Black Black Black Black
Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Red Red Red Red Red
Purple Purple Purple Purple Purple Red Black Black Purple Red Purple Purple Purple Purple Black Black Black Black Black
Purple Purple Purple Purple Purple Red Black Black Purple Red Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Red Black Black Purple Red Black Black Black Purple Black Black Black Black Black
Purple Purple Purple Purple Purple Red Black Black Purple Red Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Red Purple Purple Purple Red Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Black Black Black Black Red Black Black Purple Red Purple Purple Purple Purple Black Black Black Black Black
Purple Black Black Black Black Red Black Black Purple Red Purple Purple Purple Purple Black Black Black Black Black
Purple Black Black Black Black Red Black Black Purple Red Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Black Black Black Black Red Black Black Purple Red Black Black Black Purple Black Black Black Black Black
Purple Black Black Black Black Red Black Black Purple Red Black Black Black Purple 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 Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red
Green Green Green Green Green Green Green Green Red Red Red Red Red Purple Purple Purple Purple Purple Purple
Green Green Green Green Green Green Green Green Red Red Red Red Red Purple Purple Purple Purple Green Green
Green Green Green Green Green Green Green Green Red Red Red Red Red Purple Purple Purple Purple Green Green
Green Green Green Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Red Red
Green Green Green Purple Purple Purple Purple Purple Red Green Green Purple Red Purple Purple Purple Purple Green Green
Green Green Green Purple Purple Purple Purple Purple Red Green Green Purple Red Purple Purple Purple Purple Purple Purple
Green Green Green Purple Purple Purple Purple Purple Red Green Green Purple Red Green Green Green Purple Green Green
```
assistant