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 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 Blue Black Black Black Black Black Black Black 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 Blue Black Blue Black Black Black Black Purple Purple Black Black Black Black
Black Black Black Black Blue Blue Blue Black Black Pink Black Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Purple Purple Black Black Black
Black Black Black Black Black Black Black Green Black Pink Pink Pink Pink Black Black Black Black
Black Black Black Black Black Black 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

Output:
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
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 Black 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
Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Gray Black Gray Black Black Black Black Gray Gray Black Black Black Black
Black Black Black Black Gray Gray Gray Black Black Gray Black Gray Gray Gray Black Black 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 Gray Black Gray Gray Gray Gray 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 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 Orange Orange Purple Black Black Black Black Black Black
Black Black Black Black Black Orange Black Purple Red Black Black Black Black Black Black
Black Black Black Black Black Orange Black Purple Brown Brown Black Black Black Black Black
Black Black Black Black Black Orange Orange Orange Brown Black Brown Black Black Black Black
Black Black Black Black Black Black Black Brown Brown Black Brown Black Black Black Black
Black Black Black Black Gray Gray Black Black Brown Brown Brown Black Black Black Black
Black Black Black Black Black Gray 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 Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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 Gray Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Gray Black Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Gray Black Gray Gray Gray Black Black Black Black Black
Black Black Black Black Black Gray Gray Gray Gray Black Gray Black Black Black Black
Black Black Black Black Black Black Black Gray Gray Black Gray Black Black Black Black
Black Black Black Black Gray Gray Black Black Gray Gray Gray Black Black Black Black
Black Black Black Black Black Gray 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 Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black 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 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
Red Red Red Red Black Black Purple Purple Purple Black Black Black Black Black Black Black
Red Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black
Red Red Red Red Black Black Purple Purple Purple Purple Black Black Black Black Black Black
Green Green Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black
Black Orange Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black
Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Orange Orange Black Red Red Black Black Black 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 Black Black

Output:
Purple 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
Gray Gray Gray Gray Black Black Gray Gray Gray Black Black Black Black Black Black Black
Gray Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black
Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black
Gray Gray Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black
Black Gray Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black
Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Gray Gray Black Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Gray Black 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


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 Gray Gray Black Black
Black Black Black Black Black Black Black Black Black Black 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 Blue Black Black Black
Black Black Black Black Black Orange Orange Blue Blue Blue Blue Black Black Black
Black Gray Gray Gray Black Orange Orange Orange Green Red Black Black Black Black
Black Gray Gray Gray Black Black Black Black Green Black Black Black Black Black
Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black
Black Black Gray 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 Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black 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 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 Black Black Black Black Black 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 Gray Black Black Black
Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black
Black Gray Gray Gray Black Gray Gray Gray Gray Gray Black Black Black Black
Black Gray Gray Gray Black Black Black Black Gray Black Black Black Black Black
Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black
Black Black Gray 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 Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black 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