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 Orange Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Orange Black Black Black Orange Black Black Blue Black Pink Pink Black Black
Black Purple Black Blue Black Blue Black Black Black Black Black Black Orange Black Black
Black Black Black Black Black Yellow Black Black Yellow Black Pink Black Blue Black Black
Black Black Black Black Orange Black Black Yellow Black Black Pink Black Black Black Black
Black Black Black Black Black Black Black Black Pink Black Black Black Orange Black Black
Purple Orange Orange Orange Black Black Orange Black Orange Black Yellow Black Black Black Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Black Yellow Black Black Black Orange Pink Black Black Black Black Black Black Blue
Black Black Black Black Black Black Yellow Blue Pink Purple Black Black Black Black Orange

Output:
Black Black Black Black Black Black Black 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 Orange Black Black Black Orange Black Black Blue Black Gray Black Black Black
Black Purple Black Blue Black Gray Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Yellow Black Pink Black Black Black Black
Black Black Black Black Orange Black Black Yellow Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Orange Black Black Black Orange Black Black
Gray Black Black Black Black Black Orange Black Black Black Yellow Black Black Black Blue
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Black Yellow Black Black Black Gray Black Black Black Black Black Black Black Gray
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black


Example 2
Input:
Black Black Yellow Black Black Black Black Yellow Black Black Black Black Black
Black Black Yellow Black Black Gray Black Yellow Black Black Black Black Black
Black Black Brown Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Yellow Gray Black Gray Black Black Yellow
Black Yellow Black Black Black Black Black Black Black Black Black Black Black
Yellow Black Black Black Black Black Gray Black Black Black Brown Gray Black
Brown Black Black Black Black Black Black Black Brown Black Black Yellow Gray
Black Black Black Black Black Yellow Black Brown Black Black Black Black Black
Black Black Black Black Orange Brown Black Black Black Orange Orange Black Black
Black Black Black Black Gray Black Black Black Black Black Gray Black Black

Output:
Black Black Orange Black Black Black Black Yellow Black Black Black Black 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 Black
Black Black Black Black Black Black Orange Black Black Gray Black Black Yellow
Black Yellow Black Black Black Black Black Black Black Black Black Black Black
Orange Black Black Black Black Black Gray Black Black Black Gray Black Black
Black Black Black Black Black Black Black Black Brown Black Black Black Black
Black Black Black Black Orange Black Black Brown Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Gray Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black


Example 3
Input:
Black Black Orange Black Pink Black Black Black Black Black Black Black Blue Orange
Black Black Black Black Black Black Black Black Black Black Black Black Black Brown
Brown Black Black Black Pink Black Black Black Black Black Black Black Orange Black
Black Black Orange Black Black Orange Black Black Pink Black Brown Black Black Black
Orange Orange Black Black Black Black Black Black Black Orange Black Black Black Orange
Black Black Black Black Black Black Brown Black Orange Black Pink Black Black Black
Black Black Black Blue Black Black Black Brown Black Black Gray Black Black Orange
Blue Black Black Gray Black Black Black Black Black Pink Black Black Pink Orange
Black Black Gray Black Black Blue Black Black Black Black Orange Blue Black Black
Pink Black Black Blue Black Black Black Black Pink Orange Black Black Brown Black

Output:
Black Black Orange Black Pink Black Black Black Black Black Black Black Gray Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Brown Black Black Black Pink Black Black Black Black Black Black Black Orange Black
Black Black Orange Black Black Orange Black Black Pink Black Brown Black Black Black
Orange Black Black Black Black Black Black Black Black Orange Black Black Black Orange
Black Black Black Black Black Black Brown Black Orange Black Gray Black Black Black
Black Black Black Gray Black Black Black Brown Black Black Black Black Orange Black
Blue Black Black Black Black Black Black Black Black Pink Black Black Black Black
Black Black Gray Black Black Blue Black Black Black Black Gray Black Black Black
Pink Black Black Blue Black Black Black Black Orange Black Black Black Brown Black


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