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 Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black
Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black Red Red Black Black Black Black
Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green
Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green
Red Red Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Green Green Black Black Blue Blue Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Green Green Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Green Green Black Black Black Black Black Black
Black Black Black Black Black Black Blue Blue Black Black Black Black Green Green Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Red Red
Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green Black Black
Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Red Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Red Red Black Black

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


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

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


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

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


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