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 Purple Black Black Black Black Black Black Black Black Black Black Purple Black Purple
Black Purple Purple Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Purple
Black Black Black Black Black Gray Gray Gray Gray Black Gray Gray Black Black Black Black
Black Black Black Black Black Gray Gray Gray Black Black Black Gray 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 Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black 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 Purple Black Black Black Orange Black Black Black Black Black Purple Black Black Black Black
Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Purple Purple Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black

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


Example 2
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black
Black Yellow Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black
Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Yellow 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 Black Black Black Black Black Black
Black Black Black Black 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 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 Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Black Gray Black Gray Gray Gray Gray Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Black Gray Black Gray Gray Gray Gray Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Gray Gray Gray Gray Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Gray Gray Gray Gray Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Gray Gray Gray Gray Gray Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black Gray Gray Gray Gray Gray Gray Gray Black Purple 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 Purple Purple Black Black Black

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black
Black Blue Black Black Black Black Black Black Black Black Black Black Black Purple Purple 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 Blue 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 Black Black Black Black Black Black
Black Blue 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 Black Black Black Black Black Black
Black Black Black Black 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 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 Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Black Gray Black Gray Gray Gray Gray Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Black Gray Black Gray Gray Gray Gray Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Gray Gray Gray Gray Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Gray Gray Gray Gray Gray Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Gray Gray Gray Gray Gray Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black Gray Gray Gray Gray Gray Gray Gray Black Purple 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 Purple Purple 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 Purple Purple 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 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 Purple Black Black Black
Black Black Red Red 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
Purple Black Black 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 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 Black Black Black Black Black
Black Black Black Black Black Black Black Gray Black Black Black Black Black Gray Black Black Black Black Black
Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black
Purple Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black
Purple Black Purple Purple Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black
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 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 Black Purple Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Black Black Black Gray Black Purple Black Black Black Black Black Black
Black Black Black Black Black Gray Black Black Gray Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Blue Blue Blue Blue 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 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 Purple Purple 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Purple Black Black Black
Black Black Blue Blue 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
Purple Black Black 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 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 Black Black Black Black Black
Black Black Black Black Black Black Black Gray Black Black Black Black Black Gray Black Black Black Black Black
Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black
Purple Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black
Purple Black Purple Purple Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black
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 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 Black Purple Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Black Black Black Gray Black Purple Black Black Black Black Black Black
Black Black Black Black Black Gray Black Black Gray Gray Gray Black Black Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Blue Blue Blue Blue 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 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 Purple Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Black
Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Gray Gray Black Gray Black
Black Black Black Purple Purple Black Gray Gray Black Black Black Gray Black Gray Gray Black Gray Black
Black Purple Black Purple Purple Black Gray Gray Gray Gray Gray Gray Black Gray Gray Black Gray Black
Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Gray Gray Black Gray Black
Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Gray Gray Black Gray Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black
Black Purple Purple Black Black 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 Purple Black Blue Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Blue Black Purple Purple
Black Black Gray Gray Gray Gray Gray Black Brown Brown Brown Black Black Black Blue Black Black Black
Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Blue Black Black Black
Black Black Gray Gray Gray Gray Gray Black Black Purple Purple Black Black Black Blue Black Black Black
Black Black Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black
Black Black Gray Gray Gray Gray Gray Black Purple Purple Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black Purple Purple 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 Purple Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black
Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Black
Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Gray Gray Black Gray Black
Black Black Black Purple Purple Black Gray Gray Black Black Black Gray Black Gray Gray Black Gray Black
Black Purple Black Purple Purple Black Gray Gray Gray Gray Gray Gray Black Gray Gray Black Gray Black
Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Gray Gray Black Gray Black
Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Gray Gray Black Gray Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black
Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Blue Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Blue Black Blue Blue
Black Black Gray Gray Gray Gray Gray Black Blue Blue Blue Black Black Black Blue Black Black Black
Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Blue Black Black Black
Black Black Gray Gray Gray Gray Gray Black Black Blue Blue Black Black Black Blue Black Black Black
Black Black Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black
Black Black Gray Gray Gray Gray Gray Black Purple Purple Black Black Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black Purple Purple Black Black Black Black
```
assistant