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 Purple Purple 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 Purple Black Black Black Black Orange Orange Orange 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 Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black
Orange Black Orange Orange Black Black Black Black Pink Pink Pink Black Black Black Black Black Black
Orange Black Black Black Black Black Black Black Pink Pink Pink 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 Purple Purple Purple Purple Purple Purple Black Black Black
Black Black Black Black Black Black Black Purple Black Black Purple Purple Purple Black Black Black Black
Black Black Purple Purple Purple Purple Black Purple Black Black Purple Purple Purple Black Black Black Black
Black Purple Black Purple Purple Black Black Purple Orange Orange Orange Black Purple Black Black Black Black
Black Purple Black Purple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Black Black Black
Purple Purple Purple Orange Purple Black Black Purple Black Black Black Black Purple Black Black Black Black
Orange Purple Orange Orange Purple Black Black Black Purple Purple Purple Purple Purple Black Black Black Black
Orange Purple Orange Orange Purple Black Black Purple Pink Pink Pink Purple Black Black Black Black Black
Orange Purple Purple Purple Purple Purple Black Purple Pink Pink Pink Purple Black Black Black Black Black
Purple Purple Purple Black Purple Black Black Purple Purple Purple Purple Purple Purple 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 Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black
Black Black Black Black Black Black Black Black Purple Purple Purple Purple 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 Black Black Black Brown 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 Purple Purple Purple Black Black Black Black Black Black Black
Black Black Black Black Purple Red Purple Black Black Black Black Black Black Black Black
Black Black Black Black Purple Red Purple Black Black Black Black Black Black Black Black
Black Black Black Black Purple Red Purple Black Black Black Black Black Black Black Black
Black Black Black Black Purple Red Purple Black Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Purple Purple Purple Purple Black Red Black Black Black Black Purple
Black Black Black Black Purple Black Purple Purple Purple Purple Purple Purple Blue Blue Purple
Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Black Black Black Purple Black Black Black Black Purple Purple Purple
Black Black Black Black Black Black Black Black Black Black Black Purple Brown Purple Black
Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple


Example 3
Input:
Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black
Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Red Orange Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Red Orange Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Red Orange Black Black Black Black Black Black Black Black Black
Green Green Green Blue Blue Orange Orange Black Black Black Black Black Black Black Black Black
Green Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black
Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Yellow Yellow Yellow Yellow Black Black Black 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 Purple Green Green Black Black Purple Black Black Black Black Black
Black Black Black Black Black Purple Green Green Black Black Purple Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Purple Black Black Black Black Black
Black Black Black Black Black Red Purple Purple Purple Purple Purple Purple Black Black Black Black
Black Black Black Black Black Red Orange Purple Black Black Purple Black Black Black Black Black
Black Black Black Black Black Red Orange Purple Black Black Black Black Black Black Black Black
Black Black Black Black Black Red Orange Purple Black Black Black Black Black Black Black Black
Green Green Green Blue Blue Orange Orange Purple Black Black Black Black Black Black Black Black
Green Green Green Blue Blue Black Black Purple Black Black Black Black Black Black Black Black
Green Green Green Black Black Black Black Purple Black Black Black Black Black Black Black Black
Black Yellow Yellow Yellow Yellow Black Black Purple Black Black Black Black Black Black Black Black
Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black


Here is the input grid for the test example:
Input:
Black Gray Gray Black Black Brown Brown Brown Brown 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 Black Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black
Black Black Black Black Black Black Black Black Green Black Black Black Black Black
Black Black Black Black Black Brown Blue Blue Blue Blue Black Black Black Black
Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black
Black Black Black Black Black Black Blue Blue Blue Blue Purple Purple Black Black
Black Black Black Black Black Black Blue Blue Blue Blue 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


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:

```
Purple Gray Gray Purple Purple Brown Brown Brown Brown Purple Black Black Black Black
Purple Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black
Purple Purple Purple Purple Purple Black Black Black Black Purple Black Black Black Black
Purple Black Black Purple Black Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Purple Pink Pink Pink Pink Black Black Black Purple Black
Black Black Black Black Purple Black Black Black Green Black Black Black Purple Black
Black Black Black Black Purple Brown Blue Blue Blue Blue Black Black Purple Black
Black Black Black Black Purple Black Blue Blue Blue Blue Black Black Purple Black
Black Black Black Black Purple Black Blue Blue Blue Blue Purple Purple Purple Black
Black Black Black Black Purple Black Blue Blue Blue Blue Purple Purple Purple Black
Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Black Black Black Black Purple 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
```
assistant