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 Gray Black Black Black Black Black Black Brown Black
Black Black Blue Blue Black Black Green Black Brown Black Black Black Black
Black Black Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Gray Black Black Black Black Black Black
Red Red Black Black Black Black Black Black Black Black Black Black Black
Red Red Black Black Black Black Brown Black Black Black Black Black Black
Black Black Yellow Black Black Black Black Black Black Orange Black Black Black
Black Black Blue Blue Black Black Green Black Black Black Black Black Black
Black Black Blue Blue Black Gray Black Black Black Black Black Black Brown
Black Black Black Black Black Black Purple Black Black Black Black Black Black
Black Blue Blue Black Black Black Purple Black Black Black Black Black Black
Black Blue Blue Black Black Orange Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Red Red Black Black Gray Black

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


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

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


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

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


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