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

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


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

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


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

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


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