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 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 Gray Gray Gray Gray Gray Black Black Black Black Black Black Black
Black Black Black Black Black Gray Black Purple Gray Purple Black Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black
Black Black Black Black Black Gray Gray Purple Gray Purple Black Gray Black Black Black Black Black
Black Black Black Red Red Gray Gray Gray Blue Gray Black Gray Black Black Black Black Black
Black Black Black Red Red Black Gray Black Blue Black Black Gray Black Black Black Black Black
Black Black Black Red Red Black Gray Black Blue Black Black Gray Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Gray Gray Gray 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 Black Black Black Black Black Black 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 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 Gray Gray Gray Gray Gray Black Black Black Black Black Black Black
Black Black Black Black Black Gray Black Gray Gray Purple Black Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black
Black Black Black Black Black Gray Gray Gray Gray Gray Black Gray Black Black Black Black Black
Black Black Black Red Red Gray Gray Gray Gray Gray Black Gray Black Black Black Black Black
Black Black Black Red Red Black Gray Black Gray Black Black Gray Black Black Black Black Black
Black Black Black Red Red Black Gray Black Gray Black Black Gray Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Gray Gray Gray 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 Black Black Black Black Black Black 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 2
Input:
Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black
Black Black Green Green Black Green Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Green Black Black Black Black Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Gray Gray Gray Gray Red Gray Black
Black Black Black Black Black Black Black Black Gray Black Green Gray Red Gray Black
Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black
Black Black Black Black Black Green Green Green Gray Gray Gray Gray Blue Gray Black
Black Black Black Black Black Green Green Green Black Gray Gray Blue Blue Gray Black
Black Black Black Black Black Black Black Black Black Gray Black Black Gray Black Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black
Black Black Green Green Black Green Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Green Black Black Black Black Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Gray Black Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black
Black Black Black Black Black Green Green Green Gray Gray Gray Gray Gray Gray Black
Black Black Black Black Black Green Green Green Black Gray Gray Gray Gray Gray Black
Black Black Black Black Black Black Black Black Black Gray Black Black Gray Black Black
Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black 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 Black Orange 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 Black Black Black
Black Gray Gray Gray Gray Gray Gray Black Black Pink Pink Pink Black Black Black Black
Black Gray Orange Black Black Black Gray Black Black Pink Pink Pink Black Black Black Black
Black Gray Orange Black Black Black Gray Black Black Black Black Black Black Blue Black Black
Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black 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

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 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 Orange Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Gray Gray Gray Gray Gray Gray Black Black Pink Pink Pink Black Black Black Black
Black Gray Gray Black Black Black Gray Black Black Pink Pink Pink Black Black Black Black
Black Gray Gray Black Black Black Gray Black Black Black Black Black Black Blue Black Black
Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Blue Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black 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


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