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:
Green Green Black Black Green Green Purple Purple Blue Blue Purple Purple Black Black Red Red
Green Green Black Black Green Green Purple Purple Blue Blue Purple Purple Black Black Red Red
Red Red Black Black Yellow Yellow Black Black Green Green Black Black Green Green Red Red
Red Red Black Black Yellow Yellow Black Black Green Green Black Black Green Green Red Red
Blue Blue Purple Purple Red Red Blue Blue Red Red Purple Purple Purple Purple Purple Purple
Blue Blue Purple Purple Red Red Blue Blue Red Red Purple Purple Purple Purple Purple Purple
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Purple Purple Red Red Green Green
Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Purple Purple Red Red Green Green
Orange Orange Purple Purple Orange Orange Green Green Green Green Green Green Purple Purple Yellow Yellow
Orange Orange Purple Purple Orange Orange Green Green Green Green Green Green Purple Purple Yellow Yellow
Green Green Purple Purple Purple Purple Blue Blue Green Green Yellow Yellow Yellow Yellow Blue Blue
Green Green Purple Purple Purple Purple Blue Blue Green Green Yellow Yellow Yellow Yellow Blue Blue
Red Red Yellow Yellow Orange Orange Yellow Yellow Orange Orange Purple Purple Red Red Green Green
Red Red Yellow Yellow Orange Orange Yellow Yellow Orange Orange Purple Purple Red Red Green Green
Yellow Yellow Blue Blue Red Red Orange Orange Blue Blue Orange Orange Blue Blue Black Black
Yellow Yellow Blue Blue Red Red Orange Orange Blue Blue Orange Orange Blue Blue Black Black
Blue Blue Orange Orange Orange Orange Yellow Yellow Blue Blue Red Red Purple Purple Orange Orange
Blue Blue Orange Orange Orange Orange Yellow Yellow Blue Blue Red Red Purple Purple Orange Orange
Black Black Orange Orange Blue Blue Orange Orange Orange Orange Blue Blue Black Black Yellow Yellow
Black Black Orange Orange Blue Blue Orange Orange Orange Orange Blue Blue Black Black Yellow Yellow
Purple Purple Purple Purple Green Green Blue Blue Black Black Blue Blue Orange Orange Blue Blue
Purple Purple Purple Purple Green Green Blue Blue Black Black Blue Blue Orange Orange Blue Blue
Green Green Red Red Red Red Red Red Black Black Red Red Blue Blue Blue Blue
Green Green Red Red Red Red Red Red Black Black Red Red Blue Blue Blue Blue

Output:
Blue Blue Orange Orange Blue Blue Red Red Green Green Red Red Orange Orange Purple Purple
Blue Blue Orange Orange Blue Blue Red Red Green Green Red Red Orange Orange Purple Purple
Purple Purple Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange Blue Blue Purple Purple
Purple Purple Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange Blue Blue Purple Purple
Green Green Red Red Purple Purple Green Green Purple Purple Red Red Red Red Red Red
Green Green Red Red Purple Purple Green Green Purple Purple Red Red Red Red Red Red
Blue Blue Blue Blue Blue Blue Blue Blue Green Green Red Red Purple Purple Blue Blue
Blue Blue Blue Blue Blue Blue Blue Blue Green Green Red Red Purple Purple Blue Blue
Black Black Red Red Black Black Blue Blue Blue Blue Blue Blue Red Red Blue Blue
Black Black Red Red Black Black Blue Blue Blue Blue Blue Blue Red Red Blue Blue
Blue Blue Red Red Red Red Green Green Blue Blue Blue Blue Blue Blue Green Green
Blue Blue Red Red Red Red Green Green Blue Blue Blue Blue Blue Blue Green Green
Purple Purple Blue Blue Black Black Blue Blue Black Black Red Red Purple Purple Blue Blue
Purple Purple Blue Blue Black Black Blue Blue Black Black Red Red Purple Purple Blue Blue
Blue Blue Green Green Purple Purple Black Black Green Green Black Black Green Green Orange Orange
Blue Blue Green Green Purple Purple Black Black Green Green Black Black Green Green Orange Orange
Green Green Black Black Black Black Blue Blue Green Green Purple Purple Red Red Black Black
Green Green Black Black Black Black Blue Blue Green Green Purple Purple Red Red Black Black
Orange Orange Black Black Green Green Black Black Black Black Green Green Orange Orange Blue Blue
Orange Orange Black Black Green Green Black Black Black Black Green Green Orange Orange Blue Blue
Red Red Red Red Blue Blue Green Green Orange Orange Green Green Black Black Green Green
Red Red Red Red Blue Blue Green Green Orange Orange Green Green Black Black Green Green
Blue Blue Purple Purple Purple Purple Purple Purple Orange Orange Purple Purple Green Green Green Green
Blue Blue Purple Purple Purple Purple Purple Purple Orange Orange Purple Purple Green Green Green Green


Example 2
Input:
Black Black Yellow Yellow Blue Blue Yellow Yellow Black Black Green Green Blue Blue
Black Black Yellow Yellow Blue Blue Yellow Yellow Black Black Green Green Blue Blue
Yellow Yellow Yellow Yellow Green Green Blue Blue Green Green Yellow Yellow Orange Orange
Yellow Yellow Yellow Yellow Green Green Blue Blue Green Green Yellow Yellow Orange Orange
Orange Orange Red Red Yellow Yellow Black Black Purple Purple Red Red Orange Orange
Orange Orange Red Red Yellow Yellow Black Black Purple Purple Red Red Orange Orange
Purple Purple Purple Purple Green Green Green Green Green Green Yellow Yellow Orange Orange
Purple Purple Purple Purple Green Green Green Green Green Green Yellow Yellow Orange Orange
Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Orange Orange
Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Orange Orange
Blue Blue Red Red Red Red Yellow Yellow Purple Purple Yellow Yellow Blue Blue
Blue Blue Red Red Red Red Yellow Yellow Purple Purple Yellow Yellow Blue Blue
Yellow Yellow Red Red Green Green Black Black Yellow Yellow Orange Orange Yellow Yellow
Yellow Yellow Red Red Green Green Black Black Yellow Yellow Orange Orange Yellow Yellow
Green Green Purple Purple Purple Purple Black Black Black Black Yellow Yellow Purple Purple
Green Green Purple Purple Purple Purple Black Black Black Black Yellow Yellow Purple Purple
Yellow Yellow Red Red Green Green Purple Purple Red Red Blue Blue Green Green
Yellow Yellow Red Red Green Green Purple Purple Red Red Blue Blue Green Green
Blue Blue Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Red Red Orange Orange
Blue Blue Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Red Red Orange Orange

Output:
Orange Orange Blue Blue Green Green Blue Blue Orange Orange Blue Blue Green Green
Orange Orange Blue Blue Green Green Blue Blue Orange Orange Blue Blue Green Green
Blue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Black Black
Blue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Black Black
Black Black Purple Purple Blue Blue Orange Orange Red Red Purple Purple Black Black
Black Black Purple Purple Blue Blue Orange Orange Red Red Purple Purple Black Black
Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black
Orange Orange Green Green Green Green Green Green Blue Blue Blue Blue Black Black
Orange Orange Green Green Green Green Green Green Blue Blue Blue Blue Black Black
Green Green Purple Purple Purple Purple Blue Blue Red Red Blue Blue Green Green
Green Green Purple Purple Purple Purple Blue Blue Red Red Blue Blue Green Green
Blue Blue Purple Purple Blue Blue Orange Orange Blue Blue Black Black Blue Blue
Blue Blue Purple Purple Blue Blue Orange Orange Blue Blue Black Black Blue Blue
Blue Blue Red Red Red Red Orange Orange Orange Orange Blue Blue Red Red
Blue Blue Red Red Red Red Orange Orange Orange Orange Blue Blue Red Red
Blue Blue Purple Purple Blue Blue Red Red Purple Purple Green Green Blue Blue
Blue Blue Purple Purple Blue Blue Red Red Purple Purple Green Green Blue Blue
Green Green Blue Blue Blue Blue Red Red Blue Blue Purple Purple Black Black
Green Green Blue Blue Blue Blue Red Red Blue Blue Purple Purple Black Black


Example 3
Input:
Black Black Orange Orange Orange Orange Purple Purple Red Red Red Red Yellow Yellow
Black Black Orange Orange Orange Orange Purple Purple Red Red Red Red Yellow Yellow
Red Red Black Black Red Red Red Red Blue Blue Orange Orange Black Black
Red Red Black Black Red Red Red Red Blue Blue Orange Orange Black Black
Blue Blue Red Red Red Red Red Red Orange Orange Yellow Yellow Red Red
Blue Blue Red Red Red Red Red Red Orange Orange Yellow Yellow Red Red
Blue Blue Black Black Yellow Yellow Black Black Blue Blue Blue Blue Orange Orange
Blue Blue Black Black Yellow Yellow Black Black Blue Blue Blue Blue Orange Orange
Red Red Purple Purple Red Red Blue Blue Red Red Blue Blue Black Black
Red Red Purple Purple Red Red Blue Blue Red Red Blue Blue Black Black
Blue Blue Orange Orange Blue Blue Yellow Yellow Green Green Black Black Blue Blue
Blue Blue Orange Orange Blue Blue Yellow Yellow Green Green Black Black Blue Blue
Orange Orange Orange Orange Blue Blue Orange Orange Green Green Orange Orange Green Green
Orange Orange Orange Orange Blue Blue Orange Orange Green Green Orange Orange Green Green
Orange Orange Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black Black
Orange Orange Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black Black
Black Black Red Red Purple Purple Yellow Yellow Yellow Yellow Blue Blue Red Red
Black Black Red Red Purple Purple Yellow Yellow Yellow Yellow Blue Blue Red Red
Green Green Green Green Purple Purple Red Red Purple Purple Black Black Red Red
Green Green Green Green Purple Purple Red Red Purple Purple Black Black Red Red
Orange Orange Yellow Yellow Green Green Purple Purple Black Black Red Red Red Red
Orange Orange Yellow Yellow Green Green Purple Purple Black Black Red Red Red Red

Output:
Orange Orange Black Black Black Black Red Red Purple Purple Purple Purple Blue Blue
Orange Orange Black Black Black Black Red Red Purple Purple Purple Purple Blue Blue
Purple Purple Orange Orange Purple Purple Purple Purple Green Green Black Black Orange Orange
Purple Purple Orange Orange Purple Purple Purple Purple Green Green Black Black Orange Orange
Green Green Purple Purple Purple Purple Purple Purple Black Black Blue Blue Purple Purple
Green Green Purple Purple Purple Purple Purple Purple Black Black Blue Blue Purple Purple
Green Green Orange Orange Blue Blue Orange Orange Green Green Green Green Black Black
Green Green Orange Orange Blue Blue Orange Orange Green Green Green Green Black Black
Purple Purple Red Red Purple Purple Green Green Purple Purple Green Green Orange Orange
Purple Purple Red Red Purple Purple Green Green Purple Purple Green Green Orange Orange
Green Green Black Black Green Green Blue Blue Blue Blue Orange Orange Green Green
Green Green Black Black Green Green Blue Blue Blue Blue Orange Orange Green Green
Black Black Black Black Green Green Black Black Blue Blue Black Black Blue Blue
Black Black Black Black Green Green Black Black Blue Blue Black Black Blue Blue
Black Black Green Green Green Green Green Green Orange Orange Green Green Orange Orange
Black Black Green Green Green Green Green Green Orange Orange Green Green Orange Orange
Orange Orange Purple Purple Red Red Blue Blue Blue Blue Green Green Purple Purple
Orange Orange Purple Purple Red Red Blue Blue Blue Blue Green Green Purple Purple
Blue Blue Blue Blue Red Red Purple Purple Red Red Orange Orange Purple Purple
Blue Blue Blue Blue Red Red Purple Purple Red Red Orange Orange Purple Purple
Black Black Blue Blue Blue Blue Red Red Orange Orange Purple Purple Purple Purple
Black Black Blue Blue Blue Blue Red Red Orange Orange Purple Purple Purple Purple


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


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