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

Output:
Blue


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

Output:
Orange Blue Purple


Example 3
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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Red Red Blue Black Black Black Black Black Black Black Black Black Black
Black Red Red Gray Black Black Black Black Black Black Black Gray Yellow Green Green Black
Black Black Black Pink Pink Pink Brown Black Black Black Black Green Yellow Green Red Black
Black Black Black Black Black Yellow Yellow Black Black Black Black Blue Pink Black Black Black
Black Black Black Black Black Yellow Green Black Black Black Black Blue Black Black Black Black
Black Black Black Black Black Yellow 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 Black Black Black Black Black Black Black Black Black

Output:
Red Gray


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