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


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

Output:
Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black
Black Black Black Black Black Blue Black 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 Blue Blue Black Blue Black Black Black Black Black
Black Black Black Black Black Black Blue Black Blue Black Black Black Black Blue Black
Black Black Black Black Black Black Blue Black Black Black Black Blue Black Black Blue
Black Blue Black Black Black Black Black Black Black Blue Black Black Black Black Blue
Black Blue Black Black Black Black Black Blue Blue Black Black Black Blue Black Black
Black Black Black Black Blue Blue Black Black Black Black Black Blue Black Blue Black
Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Black
Black Black Blue Black Black Black Blue Black Black Black Blue Blue Black Black Blue
Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black


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

Output:
Black Black Black Black Blue Black Blue Black Black Black Black Blue Blue Blue Black Blue
Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black
Blue Black Black Black Blue Black Blue Black Black Black Black Black Blue Blue Black Black
Blue 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 Black Blue
Black Black Black Black Black Black Black Blue Black Black Blue Black Black Black Black Black
Black Black Black Black Blue Black Black Blue Black Black Blue Black Black Black Blue Black
Black Black Black Blue Black Blue Black Black Black Blue Black Black Blue Black Black Blue
Black Black Black Black Black Blue Black Black Black Black Blue Blue Black Black Black Black
Black Black Black Black Black Black Blue Black Black Blue Black Black Black Black Blue Black
Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black
Black Black Black Black Blue Blue Black Black Black Blue Black Black Black Black Black Black


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