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

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

Output:
Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Orange Orange 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Black Black Black Black Gray Gray Gray Black Black Black Black Black Gray Gray Black Black Black Black
Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Gray Black Black Black Black
Black Black Green Green Green Pink Pink Pink Black Black Black Black Black Black Gray Black Black Gray Black Black Gray
Black Black Green Green Green Pink Pink Pink Black Black Black Black Black Gray Black Black Black Gray Gray Black Gray
Black Black Gray Black Gray Gray Gray Black Gray Black Gray Black Black Black Gray Black Gray Black Black Black Black
Black Black Black Black Gray Gray Black Black Black Black Black Gray Black Black Gray Gray Black Black Black Black Black
Black Black Black Gray Gray Gray Gray Black Gray Black Black Black Black Black Black Black Gray Black Gray Black Black
Black Gray Black Gray Gray Gray Black Gray Black Black Black Black Black Gray Black Gray Black Gray Black Black Gray
Black Gray Black Black Black Black Black Black Black Gray Gray Black Black Gray Black Black Black Black Black Black Black
Black Black Black Black Black Gray Gray Black Gray Black Black Black Black Black Black Black Black Gray Black Black Black
Gray Gray Black Gray Black Black Black Gray Black Black Black Black Gray Black Black Black Black Black Black Black Black
Black Gray Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Gray Black
Black Black Black Black Gray Black Black Black Black Black Black Gray Black Black Black Black Black Gray Black Black Gray
Black Black Gray Black Black Black Black Black Black Black Black Gray Black Black Black Gray Black Black Black Black Black
Black Black Gray Black Gray Black Black Black Black Gray Black Black Black Black Black Gray Black Black Black Black Black
Black Black Gray Black Black Black Gray Gray Gray Black Black Gray Black Gray Black Black Black Black Black Black Gray
Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black Black

Output:
Black Black 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 Gray Gray Gray Gray Gray Gray Black Black
Black Black 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 Gray Gray Gray Gray Gray Gray Black Black
Black Black 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 Gray Gray Gray Gray Gray Gray Black Black
Black Black 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 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 Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Black Black Red Black Black Black Black Black Black Black Red Black Black Black Black Black Black
Black Black Black Red Black Red Black Black Red Black Black Black Red Red Black Red Black Black Black
Black Black Black Black Black Black Black Black Red Black Black Black Red Black Black Black Red Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red
Black Black Gray Gray Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black
Red Black Gray Gray Black Purple Purple Purple Black Black Black Red Red Red Black Black Black Black Red
Black Black Gray Gray Red Purple Purple Purple Black Red Red Red Black Black Black Red Black Black Black
Red Black Black Black Red Black Red Black Red Black Black Red Black Black Black Black Black Black Black
Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Red Black Black Black
Red Red Black Red Red Black Black Red Black Red Red Black Black Black Black Black Black Black Black
Black Black Black Black Red Black Brown Brown Brown Brown Brown Black Red Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Red
Red Black Red Black Red Black Black Black Black Black Black Black Black Red Red Black Red Black Black
Black Black Black Black Black Red Black Black Red Black Black Black Red Black Black Black Black Red Black
Red Black Black Black Black Black Red Black Black Black Black Black Red Black Black Black Red Black Black
Black Black Black Black Black Black Black Red Black Red Black Black Red Black Black Black Black Black Red
Red Black Black Black Black Black Black Black Black Black Black Red Black Black Red Red Red Red Red
Black Black Black Red Black Black Black Red Black Red Black Black Black Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Red Black Black Red Black Red Red 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 Black Black Red Red Red Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black
Black Black Black Black Black Black Black Black Red Red Red Red Red 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 Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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