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 Gray Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Gray Purple Purple Black Black
Black Black Black Red Red Black Black Gray Black Purple Purple Black Black
Black Black Black Red Red Red 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 Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Yellow Yellow Yellow Black Black
Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black
Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black
Black Black Black Black Black Yellow Yellow 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 Purple Black Black Black Black Black
Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black
Black Black Black Red Red Black Black Purple Black Purple Purple Black Black
Black Black Black Red Red Red 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 Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Yellow Yellow Yellow Black Black
Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black Black
Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black
Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black
Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Black Black 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 Brown Brown Black
Black Black Black Black Black Black Black Black Brown Brown Brown Brown
Black Black Red Black Green Green Green Green Brown Brown Brown Brown
Black Red Red Red Black Green Green Black Brown Brown Brown Brown
Black Black Red Black Black Green Green Black Black Black Red Red
Black Black Black Black Green Green Green Green Black 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
Black Black Black Black Black Black Black Black Black Black Black Black
Red 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 Purple Purple Black
Black Black Black Black Black Black Black Black Purple Purple Purple Purple
Black Black Red Black Purple Purple Purple Purple Purple Purple Purple Purple
Black Red Red Red Black Purple Purple Black Purple Purple Purple Purple
Black Black Red Black Black Purple Purple Black Black Black Purple Purple
Black Black Black Black Purple Purple Purple Purple 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
Purple 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 Black Gray Black Black Black Black Black Black Black
Black Gray Black Black Black Black Black Black Black Black Black Black
Gray Gray Gray Brown Brown Brown Black Gray Gray Gray Gray Black
Gray Gray Brown Brown Brown Brown Black Gray Gray Black Black Black
Black Black Brown Brown Brown Brown Black Gray Gray Black Black Black
Black Black Brown Brown Brown Black Black Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Black Black Yellow Black
Black Black Black Black Black Purple Purple Black Purple Yellow Yellow Black
Black Black Black Black Black Black Purple Purple Purple Black Black Black
Black Black Black Black Black Purple Purple Purple Black Black Black Black
Green Green Black Black Black Purple Black Purple Purple Black Black Black
Green Green Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Black Black Purple Black Black Black Black Black Black Black
Black Purple Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Gray Gray Gray Gray Black
Purple Purple Purple Purple Purple Purple Black Gray Gray Black Black Black
Black Black Purple Purple Purple Purple Black Gray Gray Black Black Black
Black Black Purple Purple Purple Black Black Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Black Black Yellow Black
Black Black Black Black Black Purple Purple Black Purple Yellow Yellow Black
Black Black Black Black Black Black Purple Purple Purple Black Black Black
Black Black Black Black Black Purple Purple Purple Black Black Black Black
Purple Purple Black Black Black Purple Black Purple Purple Black Black Black
Purple Purple 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 Black Black Black Black
Black Black 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 Black
Black Black Black Black Black Black Black Black Red Red Black Green Green Green
Black Black Black Black Black Black Black Black Red Red Black Green Green Black
Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black
Black Black Black Black Black Black Black Purple Purple Pink Black Black 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 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 Purple Purple Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink 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 Black Black Black Black Black Black Black Black Black
Black Black 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 Red Red Black Purple Purple Purple
Black Black Black Black Black Black Black Black Red Red 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 Pink Black Black 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 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 Purple Purple Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant