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

Output:
Black Black Purple Purple Purple Purple Black Black Purple Purple Black Black
Black Black Purple Purple Purple Purple Black Black Purple Purple Black Black
Purple Purple Purple Purple Black Black Black Black Purple Purple Black Black
Purple Purple Purple Purple Black Black Black Black Purple Purple Black Black
Black Black Purple Purple Purple Purple Black Black Purple Purple Black Black
Black Black Purple Purple Purple Purple Black Black Purple Purple Black Black
Black Black Black Black Purple Purple Black Black Black Black Purple Purple
Black Black Black Black Purple Purple Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Black Purple Purple Purple Purple
Black Black Black Black Black Black Black Black Purple Purple Purple Purple
Black Black Purple Purple Black Black Purple Purple Black Black Black Black
Black Black Purple Purple Black Black Purple Purple Black Black Black Black


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

Output:
Black Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black
Black Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Black Black Purple Purple
Black Black Black Black Black Black Purple Purple Purple Purple Black Black Purple Purple
Black Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black
Black Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black
Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black Black Black
Purple Purple Purple Purple Black Black Purple Purple Purple Purple Black Black Black Black
Black Black Purple Purple Black Black Black Black Black Black Black Black Purple Purple
Black Black Purple Purple Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black


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

Output:
Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple Black Black
Purple Purple Purple Purple Black Black Purple Purple Purple Purple Purple Purple Black Black
Black Black Purple Purple Black Black Black Black Black Black Black Black Purple Purple
Black Black Purple Purple Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black


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