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

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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Brown Brown Brown Brown Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Black Black Black Black Purple Yellow Yellow Purple Black Black Black Black Black Black
Purple Brown Brown Brown Purple Purple Black Black Black Black Purple Yellow Yellow Purple Black Black Black Black Black Black
Purple Brown Brown Brown Purple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black
Purple Brown Brown Brown Purple Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Brown Brown Brown Purple Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple 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 Purple Purple Purple Purple Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Yellow Yellow Purple Black
Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Purple Yellow Yellow Purple Black
Black Black Black Black Black Black Black Black Black Purple Yellow Yellow Yellow Purple Black Purple Yellow Yellow Purple Black
Black Black Black Black Black Black Black Black Black Purple Yellow Yellow Yellow Purple Black Purple Yellow Yellow Purple Black
Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Purple Purple 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


Example 3
Input:
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Blue Blue Blue Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Blue Blue Blue Purple Black Black
Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Purple Blue Blue Blue Purple Black Black
Black Black Black Purple Red Red Purple Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black
Black Black Black Purple Red Red Purple Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Purple Red Red Red Red Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Purple Red Red Red Red Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Purple Purple Purple Purple 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 Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Green Green Green Green Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Green Green Green Green Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Green Green Green Green Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Green Green Green Green Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Purple 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

Output:
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black
Black Black Black Purple Purple Purple Purple Gray Gray Gray Black Black Black Purple Purple Purple Purple Purple Black Black
Black Black Black Purple Yellow Yellow Purple Gray Gray Gray Black Black Black Purple Purple Purple Purple Purple Black Black
Black Black Black Purple Yellow Yellow Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Purple Yellow Yellow Yellow Yellow Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Purple Purple Yellow Yellow Yellow Yellow Purple Black Black Black Black Black Black Black Black Black Black
Black Black Black Gray Purple Purple Purple Purple 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 Gray Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Brown Brown Brown Brown Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Brown Brown Brown Brown Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Brown Brown Brown Brown Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Brown Brown Brown Brown Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple 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


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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black
Black Black Purple Blue Blue Blue Purple Black Black Black Black Black Black Black Black Purple Blue Blue Purple Black
Black Black Purple Blue Blue Blue Purple Black Black Black Black Black Black Black Black Purple Blue Blue Purple Black
Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple 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 Black Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Red Red Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Red Red Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Red Red Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple 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 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
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black
Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black
Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black
Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple 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 Black Purple Purple Purple Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Yellow Yellow Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Yellow Yellow Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Yellow Yellow Purple Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Purple 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
```
assistant