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

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


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

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


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

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


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