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 Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Red Blue Blue Blue Black Black Black Black Black Black Black Black Black
Black Green Green Green Red Blue Blue Blue Black Black Black Black Black Black Black Black Black
Green Green Green Green Black Blue Blue Blue Black Black Black Black Black Black Black Black Black
Green Green Green Green Green Black Blue Blue Blue Black Black Black Black Black Black Black Black
Green Green Green Green Green Black Blue Blue Blue Black Black Black Black Black Black Black Black
Black Black Green Green Green Black Blue Blue Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black
Red Red Red Black Black Black Green Blue Blue Blue Blue Black Black Black Black Black Black
Red Red Red Black Black Black Green Blue Blue Blue Blue Black Black Black Black Black Black
Red Red Red Black Black Black Green Green Blue Blue Blue 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 Red Red Gray Gray Black Black Black Black Black Black Black Black Black Black Black
Purple Blue Blue Blue Blue Gray Blue Blue Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Blue Gray Blue Blue Black Black Black Black Black Black Black Black Black
Green Green Green Purple Purple Purple Blue Blue Black Black Black Black Black Black Black Black Black
Green Green Green Green Green Purple Blue Blue Blue Black Black Black Black Black Black Black Black
Green Green Green Green Green Purple Blue Blue Blue Black Black Black Black Black Black Black Black
Black Black Green Green Green Purple Blue Blue Blue Black Black Black Black Black Black Black Black
Black Yellow Yellow Yellow Black Purple Purple Purple Blue Blue Blue Black Black Black Black Black Black
Red Red Red Black Black Black Purple Purple Blue Blue Blue Black Black Black Black Black Black
Red Red Red Black Black Black Green Purple Purple Blue Blue Black Black Black Black Black Black
Red Red Red Black Black Black Green Green Purple Blue Blue Black Black Black Black Black Black


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

Output:
Black Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Blue Blue Blue Purple Purple Purple Black
Black Black Black Black Black Black Black Black Blue Blue Blue Blue Purple Purple Black
Black Black Blue Blue Blue Black Black Black Black Black Blue Blue Purple Purple Green
Black Black Blue Blue Blue Gray Black Black Black Gray Blue Purple Purple Purple Green
Black Black Blue Gray Gray Gray Red Red Red Gray Black Purple Green Green Green
Black Black Black Gray Gray Red Red Red Red Black Black Black Black Black Black
Black Black Black Gray Gray Red Red Red Red Black Black Black Black Black Black
Black Red Red Red Red Red Red Black Red Red Red Black Black Black Black
Black Red Red Red Black Black Black Black Red Red Red Black Red Red Red
Black Red Red Red Black Black Black Black Red Red Red Black Red Red Red
Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red


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

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Green Black Black Black Black Black Black Black Black Gray Gray Blue Blue
Green Green Green Green Black Black Black Black Black Black Yellow Yellow Gray Gray Blue Blue
Black Green Green Green Black Black Black Black Green Green Yellow Yellow Red Gray Blue Blue
Black Black Black Black Black Black Black Black Green Green Green Yellow Red Gray Black Black
Black Black Black Black Black Black Black Black Green Purple Purple Blue Blue Blue Black Black
Black Black Black Black Black Black Black Black Green Purple Purple Blue Purple Purple Purple Green
Black Black Black Black Black Black Black Black Green Purple Purple Blue Purple Purple Green Green
Black Black Black Black Black Black Black Black Green Green Purple Blue Blue Purple Purple Purple
Black Black Black Black Black Black Black Black Black Black Purple Black Black Blue Blue Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue


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