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 Red Red Red Red Blue Blue Black
Black Black Black Black Black Red Red Red Red Black Blue Blue
Black Black Black Black Black Black Black Black Black Black Blue Blue
Black Black 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 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 Orange Orange Black
Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black
Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black
Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black
Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black

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

Output:
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
Gray Gray Gray 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
Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black
Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black
Brown Brown 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


Example 3
Input:
Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Purple 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 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 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 Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Purple 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 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 Brown Brown Brown Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Brown Brown 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

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


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

```
Black Black Purple Purple Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black Black Black Black Black Black Black
Black Purple Purple Purple Purple 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 Red Red Black Black Black Black Black Black Black Black Black Black
Orange Black Red Red Red Black Black Black Black Black Black Black Black Black
Orange Orange Red Red Red Black Black Black Black Black Black Black Black Black
Orange Black Red Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant