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

Output:
Red Red Yellow Yellow Red Red Purple Purple Blue Blue Red Red Blue Blue Red Red
Red Red Yellow Yellow Red Red Purple Purple Blue Blue Red Red Blue Blue Red Red
Red Red Yellow Yellow Blue Blue Purple Purple Yellow Yellow Red Red Purple Purple Green Green
Red Red Yellow Yellow Blue Blue Purple Purple Yellow Yellow Red Red Purple Purple Green Green
Blue Blue Blue Blue Green Green Purple Purple Blue Blue Blue Blue Green Green Purple Purple
Blue Blue Blue Blue Green Green Purple Purple Blue Blue Blue Blue Green Green Purple Purple
Purple Purple Purple Purple Blue Blue Red Red Red Red Green Green Purple Purple Red Red
Purple Purple Purple Purple Blue Blue Red Red Red Red Green Green Purple Purple Red Red
Purple Purple Red Red Green Green Green Green Green Green Red Red Red Red Purple Purple
Purple Purple Red Red Green Green Green Green Green Green Red Red Red Red Purple Purple
Purple Purple Purple Purple Blue Blue Purple Purple Green Green Blue Blue Purple Purple Green Green
Purple Purple Purple Purple Blue Blue Purple Purple Green Green Blue Blue Purple Purple Green Green
Green Green Blue Blue Yellow Yellow Green Green Red Red Yellow Yellow Blue Blue Yellow Yellow
Green Green Blue Blue Yellow Yellow Green Green Red Red Yellow Yellow Blue Blue Yellow Yellow
Blue Blue Yellow Yellow Purple Purple Green Green Green Green Purple Purple Green Green Red Red
Blue Blue Yellow Yellow Purple Purple Green Green Green Green Purple Purple Green Green Red Red


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

Output:
Purple Purple Yellow Yellow Purple Purple Green Green Blue Blue Green Green Green Green
Purple Purple Yellow Yellow Purple Purple Green Green Blue Blue Green Green Green Green
Green Green Red Red Purple Purple Yellow Yellow Green Green Blue Blue Purple Purple
Green Green Red Red Purple Purple Yellow Yellow Green Green Blue Blue Purple Purple
Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Blue Blue Green Green Yellow Yellow
Yellow Yellow Yellow Yellow Purple Purple Yellow Yellow Blue Blue Green Green Yellow Yellow
Red Red Purple Purple Red Red Green Green Green Green Blue Blue Green Green
Red Red Purple Purple Red Red Green Green Green Green Blue Blue Green Green
Green Green Purple Purple Green Green Blue Blue Green Green Green Green Yellow Yellow
Green Green Purple Purple Green Green Blue Blue Green Green Green Green Yellow Yellow
Yellow Yellow Yellow Yellow Green Green Purple Purple Red Red Red Red Purple Purple
Yellow Yellow Yellow Yellow Green Green Purple Purple Red Red Red Red Purple Purple
Blue Blue Green Green Red Red Green Green Green Green Purple Purple Red Red
Blue Blue Green Green Red Red Green Green Green Green Purple Purple Red Red


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

Output:
Green Green Yellow Yellow Red Red Green Green Purple Purple Blue Blue Green Green
Green Green Yellow Yellow Red Red Green Green Purple Purple Blue Blue Green Green
Yellow Yellow Red Red Red Red Red Red Yellow Yellow Red Red Red Red
Yellow Yellow Red Red Red Red Red Red Yellow Yellow Red Red Red Red
Blue Blue Blue Blue Yellow Yellow Green Green Red Red Green Green Purple Purple
Blue Blue Blue Blue Yellow Yellow Green Green Red Red Green Green Purple Purple
Green Green Red Red Green Green Green Green Green Green Purple Purple Yellow Yellow
Green Green Red Red Green Green Green Green Green Green Purple Purple Yellow Yellow
Green Green Green Green Blue Blue Purple Purple Green Green Blue Blue Yellow Yellow
Green Green Green Green Blue Blue Purple Purple Green Green Blue Blue Yellow Yellow
Blue Blue Green Green Yellow Yellow Blue Blue Green Green Green Green Green Green
Blue Blue Green Green Yellow Yellow Blue Blue Green Green Green Green Green Green
Red Red Yellow Yellow Purple Purple Purple Purple Red Red Red Red Blue Blue
Red Red Yellow Yellow Purple Purple Purple Purple Red Red Red Red Blue Blue


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


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:

```
Green Green Green Green Green Green Green Green Yellow Yellow Green Green Green Green Blue Blue Green Green
Green Green Green Green Green Green Green Green Yellow Yellow Green Green Green Green Blue Blue Green Green
Green Green Yellow Yellow Green Green Purple Purple Green Green Green Green Red Red Red Red Red Red
Green Green Yellow Yellow Green Green Purple Purple Green Green Green Green Red Red Red Red Red Red
Green Green Blue Blue Green Green Blue Blue Green Green Blue Blue Red Red Blue Blue Purple Purple
Green Green Blue Blue Green Green Blue Blue Green Green Blue Blue Red Red Blue Blue Purple Purple
Purple Purple Red Red Yellow Yellow Purple Purple Green Green Yellow Yellow Red Red Red Red Blue Blue
Purple Purple Red Red Yellow Yellow Purple Purple Green Green Yellow Yellow Red Red Red Red Blue Blue
Green Green Green Green Green Green Blue Blue Green Green Green Green Red Red Green Green Green Green
Green Green Green Green Green Green Blue Blue Green Green Green Green Red Red Green Green Green Green
Blue Blue Yellow Yellow Purple Purple Red Red Green Green Red Red Green Green Green Green Blue Blue
Blue Blue Yellow Yellow Purple Purple Red Red Green Green Red Red Green Green Green Green Blue Blue
Blue Blue Red Red Green Green Green Green Red Red Green Green Yellow Yellow Purple Purple Red Red
Blue Blue Red Red Green Green Green Green Red Red Green Green Yellow Yellow Purple Purple Red Red
Yellow Yellow Red Red Yellow Yellow Blue Blue Red Red Yellow Yellow Green Green Yellow Yellow Red Red
Yellow Yellow Red Red Yellow Yellow Blue Blue Red Red Yellow Yellow Green Green Yellow Yellow Red Red
Blue Blue Green Green Purple Purple Purple Purple Blue Blue Purple Purple Red Red Blue Blue Blue Blue
Blue Blue Green Green Purple Purple Purple Purple Blue Blue Purple Purple Red Red Blue Blue Blue Blue
```
assistant