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:
Purple Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Black Purple Black Black Black Purple Black Purple Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Purple Black Purple Black Black Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Black Purple Black Black Black Purple Black Purple Black
Black Black Black Black Black Black Black Black Black Black Purple Black Purple Black Black Black Purple
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 Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black 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 Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black
Green Purple Green Green Green Purple Black Purple Black Black Black Black Black Black Black Black Black
Green Green Green Green Green Green Purple Green Purple Black Black Black Black Black Purple Black Black
Green Green Green Green Green Green Green Green Green Purple Black Black Black Purple Green Purple Black
Green Green Green Green Green Green Green Green Green Green Purple Black Purple Green Green Green Purple
Green Green Green Green Green Green Green Green Green Green Green Purple Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green


Example 2
Input:
Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Purple Black Purple Black Purple Black Purple Black Purple Black Black Black Black Black
Black Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Purple Black Purple 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 Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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 Green Green Green Green Green Green Green Green Green Green Green Green Green Green
Black Purple Green Purple Green Purple Green Purple Green Purple Green Green Green Green Green
Black Black Purple Black Purple Black Purple Black Purple Black Purple Green Purple Green Green
Black Black Black Black Black Black Black Black Black Black Black Purple Black Purple Green
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 Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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:
Purple Black Black Black Purple Purple Black Purple Purple Purple Purple Black Black Black Black Black
Black Purple Black Purple Black Black Purple Black Black Black Black Purple Black Black Black Black
Black Black Purple 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 Black Purple Black Purple
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 Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black 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 Green Green Green Purple Purple Black Purple Purple Purple Purple Green Green Green Green Green
Black Purple Green Purple Black Black Purple Black Black Black Black Purple Green Green Green Green
Black Black Purple Black Black Black Black Black Black Black Black Black Purple Green Green Green
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Green Purple
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 Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black 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:
Purple Purple Purple Black Purple Black Black Black Purple Black Black Black Black Black
Black Black Black Purple Black Purple Black Purple Black Purple Black Purple Black Black
Black Black Black Black Black Black Purple Black Black Black Purple Black Purple 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 Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black 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 Purple Purple Green Purple Black Black Black Purple Green Green Green Green Green
Black Black Black Purple Black Purple Black Purple Black Purple Green Purple Green Green
Black Black Black Black Black Black Purple Black Black Black Purple Black Purple Green
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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black 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