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

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


Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Black Gray 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
Black Black Blue Black Black Black Black Black Black Black Black
Orange Black Black Black Black Black Black Black Black Green 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 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 Black
Black Orange Blue Purple Black Black Black Pink Black Blue Black

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


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

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


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

```
Purple Black Red Black Black Black Black Black Black Blue Black
Black Black Black Black Black Black Red Black Black Black Black
Black Yellow Black Black Blue Green Orange 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 Orange Black Black Black Black Black Black Black
Black Black Black Black Black Black Green Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Orange
Black Black Black Black Black Black Black Black Green 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 Black Black Black Black Black Black Blue 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 Red Black Orange Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
```
assistant