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 Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Pink Pink Purple Pink Black Purple Purple Black
Black Black Black Black Black Pink Pink Pink Pink Black Purple Purple Black
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 Black

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


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
Green Green Green Black Black Black Black Black Black Black Black Black
Purple Green Green Black Black Black Black Black Black Black Black Black
Green Green Green Black Black Black Black Black Black Black Black Black
Green Green Green Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black
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 Purple Black Black Black Black Black Black
Black Black Black Black Purple Black Black Black Black Black Black Black
Green Green Green Purple Black Black Black Black Black Black Black Black
Purple Green Purple Black Black Black Black Black Black Black Black Black
Green Purple Green Black Black Black Black Black Black Black Black Black
Purple Green Green Black Black Black Black Black Black Black Black Black
Black Purple 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 Purple 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 Purple Black Black Black Black Black Black
Black Black Black Black Black Black Purple Black Black Black Black Black


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 Red Red Red Black Black Black Black Black Black Black Black Black Black
Black Red Purple Red Black Black Black Black Black Black Black Black Black Black
Black Red Red Red Black Black Black Black Black Black Black Black Black Black
Black Red 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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black 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 Purple 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 Purple Black Black Black Black Black
Black Red Red Red Black Black Black Purple Black Black Black Black Black Black
Purple Red Purple Red Black Black Purple Black Black Black Black Black Black Black
Black Purple Red Red Black Purple Black Black Black Black Black Black Black Black
Black Red Purple Red Purple 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 Purple Black Purple Black Black Black Black Black Black Black Black Black
Black Purple Black Black Black Purple Black Black Black Black Black Black Black Black
Purple Black Black Black Black Black Purple Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Purple 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 Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black
Brown Purple Black Black Black Gray Gray Black Black Black Black Black Black Black
Brown Brown Black Black Black Gray 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


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 Purple Black Purple 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 Purple Gray Purple Black Black Black Black Black Black
Brown Purple Black Black Purple Gray Gray Black Purple Black Black Black Black Black
Brown Brown Black Purple Black Gray Purple Black Black Purple Black Black Black Purple
Purple Black Purple Black Black Black Black Black Black Black Purple Black Purple Black
Black Purple Black Black Black Black Black Black Black Black Black Purple Black Black
Purple Black Purple Black Black Black Black Black Black Black Purple Black Purple Black
Black Black Black Purple Black Black Black Black Black Purple Black Black Black Purple
Black Black Black Black Purple Black Black Black Purple 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 Purple 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 Purple Black Black Black Purple Black Black Black Black Black
```
assistant