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

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


Example 2
Input:
Purple Black Black Black Black Black Black Yellow Black Purple Yellow Black Black Black Black Black Yellow
Black Black Purple Black Black Black Black Black Black Black Black Purple Black Purple Black Black Black
Black Yellow Purple Yellow Black Black Black Purple Black Purple Black Black Black Black Purple Black Black
Purple Purple Black Black Yellow Black Yellow Black Black Yellow Purple Black Black Yellow Black Black Black
Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Yellow Black
Purple Purple Purple Black Black Black Yellow Black Black Black Black Black Yellow Black Yellow Purple Black
Black Yellow Purple Black Black Yellow Black Orange Orange Orange Black Yellow Black Black Black Yellow Purple
Black Yellow Black Black Black Yellow Yellow Orange Yellow Orange Purple Yellow Black Black Black Black Black
Yellow Black Black Black Yellow Black Black Orange Orange Orange Yellow Black Black Black Purple Black Black
Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Black
Purple Purple Black Black Black Black Purple Black Purple Black Yellow Yellow Black Black Black Purple Black
Yellow Black Purple Purple Black Black Black Yellow Black Purple Black Black Black Black Black Yellow Black
Purple Black Black Black Yellow Black Black Purple Yellow Black Purple Black Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black Yellow Black Black Yellow Black

Output:
Purple Black Black Black Black Black Black Yellow Black Purple Yellow Black Black Black Black Black Yellow
Black Purple Purple Black Black Yellow Yellow Black Purple Yellow Black Purple Black Purple Black Black Black
Black Yellow Purple Purple Black Purple Yellow Purple Yellow Purple Purple Black Black Black Purple Black Black
Purple Purple Yellow Purple Purple Yellow Purple Yellow Purple Purple Purple Black Black Yellow Black Black Black
Black Purple Purple Yellow Yellow Orange Yellow Purple Yellow Purple Purple Black Black Black Black Yellow Black
Purple Purple Purple Yellow Purple Orange Orange Yellow Purple Yellow Black Black Yellow Black Yellow Purple Black
Black Purple Yellow Purple Purple Orange Orange Orange Yellow Purple Yellow Yellow Black Black Black Yellow Purple
Black Yellow Purple Purple Purple Purple Orange Orange Orange Yellow Purple Yellow Black Black Black Black Black
Yellow Black Black Purple Purple Purple Purple Orange Orange Orange Yellow Black Black Black Purple Black Black
Black Black Black Black Purple Purple Black Black Black Black Black Black Black Yellow Black Yellow Black
Purple Purple Black Black Black Purple Purple Black Purple Black Yellow Yellow Black Black Black Purple Black
Yellow Black Purple Purple Black Black Black Yellow Black Purple Black Black Black Black Black Yellow Black
Purple Black Black Black Yellow Black Black Purple Yellow Black Purple Black Black Purple Purple Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black Yellow Black Black Yellow Black


Example 3
Input:
Black Purple Yellow Purple Orange Orange Yellow Purple Blue Blue Yellow Yellow Yellow Yellow Orange Black Blue Purple
Purple Blue Black Blue Orange Orange Black Black Purple Black Orange Black Black Purple Black Black Black Black
Yellow Purple Blue Purple Yellow Black Black Black Black Black Black Blue Yellow Blue Blue Yellow Orange Purple
Black Orange Orange Yellow Blue Black Black Yellow Yellow Purple Black Orange Blue Black Black Orange Black Black
Yellow Purple Blue Purple Orange Yellow Black Black Purple Blue Black Black Black Yellow Purple Black Black Blue
Orange Purple Yellow Blue Blue Yellow Yellow Yellow Blue Purple Black Blue Black Black Blue Black Black Black
Orange Blue Blue Blue Yellow Black Black Orange Gray Gray Gray Black Blue Purple Black Purple Blue Yellow
Purple Orange Purple Purple Black Black Yellow Orange Gray Black Gray Black Orange Yellow Black Yellow Blue Orange
Black Black Yellow Black Purple Black Blue Orange Gray Gray Gray Orange Purple Black Black Black Black Black
Black Purple Blue Yellow Black Purple Black Black Black Yellow Blue Black Orange Orange Yellow Purple Orange Blue
Purple Black Yellow Black Orange Orange Black Orange Black Black Blue Black Black Black Black Orange Black Yellow
Purple Blue Black Black Black Blue Orange Purple Black Blue Blue Black Blue Black Purple Orange Purple Black
Yellow Purple Orange Orange Black Black Black Black Yellow Orange Black Blue Purple Purple Purple Black Yellow Black
Purple Black Blue Yellow Yellow Orange Black Purple Black Yellow Orange Yellow Black Orange Black Orange Blue Orange

Output:
Orange Purple Orange Blue Orange Purple Purple Yellow Blue Blue Purple Purple Yellow Purple Orange Purple Purple Purple
Blue Orange Purple Orange Blue Orange Purple Purple Yellow Purple Purple Yellow Purple Orange Blue Orange Purple Black
Yellow Blue Orange Purple Orange Blue Orange Purple Purple Purple Yellow Purple Orange Yellow Orange Blue Orange Purple
Orange Yellow Blue Orange Purple Orange Blue Orange Purple Yellow Purple Blue Blue Orange Yellow Orange Blue Black
Yellow Orange Yellow Blue Orange Purple Orange Blue Orange Purple Purple Yellow Blue Blue Orange Yellow Black Blue
Orange Yellow Orange Yellow Blue Orange Purple Orange Blue Orange Purple Purple Yellow Blue Blue Orange Yellow Black
Purple Purple Yellow Orange Yellow Blue Orange Purple Orange Blue Orange Purple Purple Yellow Blue Blue Orange Yellow
Blue Purple Orange Yellow Orange Yellow Purple Orange Purple Orange Blue Orange Purple Purple Yellow Blue Blue Orange
Orange Purple Purple Orange Yellow Orange Yellow Blue Orange Purple Orange Blue Orange Purple Purple Yellow Blue Black
Yellow Orange Purple Purple Purple Yellow Orange Yellow Blue Orange Purple Orange Blue Orange Purple Purple Yellow Blue
Yellow Yellow Orange Purple Purple Orange Yellow Orange Yellow Blue Orange Purple Orange Blue Orange Purple Black Yellow
Blue Yellow Yellow Orange Black Purple Orange Yellow Orange Yellow Blue Orange Purple Orange Blue Orange Purple Black
Yellow Blue Yellow Yellow Orange Black Purple Black Yellow Orange Yellow Blue Orange Purple Orange Blue Orange Black
Purple Black Blue Yellow Yellow Orange Black Purple Black Yellow Orange Yellow Black Orange Black Orange Blue Orange


Here is the input grid for the test example:
Input:
Black Red Black Orange Black Red Red Black Black Purple Purple Black Red Black Black Black
Black Black Black Orange Black Red Orange Red Black Orange Black Orange Black Black Black Red
Black Black Black Black Black Orange Orange Black Purple Red Orange Black Black Black Black Black
Red Black Purple Black Red Black Orange Red Black Black Black Purple Black Purple Black Red
Black Red Black Black Purple Black Red Orange Orange Black Black Orange Black Black Purple Red
Purple Black Purple Black Red Red Black Black Red Red Black Black Orange Black Orange Black
Black Orange Black Purple Orange Red Purple Purple Black Black Black Black Black Orange Purple Black
Red Purple Black Black Black Black Red Pink Pink Pink Orange Black Purple Black Orange Black
Purple Black Black Orange Black Black Purple Pink Purple Pink Red Orange Black Red Black Red
Black Black Purple Orange Black Black Black Pink Pink Pink Purple Red Black Black Purple Black
Black Black Orange Black Black Purple Red Black Orange Red Black Black Orange Black Black Orange
Purple Black Purple Black Purple Black Black Black Red Red Purple Orange Black Orange Black Purple
Orange Black Red Purple Orange Black Black Black Black Orange Black Red Black Red Purple Black
Black Black Purple Red Black Purple Black Purple Purple Orange Orange Black Orange Black Black Purple
Orange Purple Red Black Black Black Orange Black Black Black Purple Orange Black Black Purple Black
Black Black Purple Black Red Black Red Red Black Orange Black Black Orange Red 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 Red Black Orange Red Purple Red Orange Black Purple Purple Black Red Black Black Black
Black Black Red Orange Orange Red Purple Red Orange Purple Black Red Black Black Black Red
Black Black Black Purple Orange Orange Red Purple Purple Orange Red Black Black Black Black Black
Orange Red Red Orange Red Orange Orange Red Purple Orange Purple Orange Purple Red Purple Red
Purple Orange Red Red Red Purple Orange Purple Orange Purple Orange Purple Red Purple Purple Red
Purple Purple Orange Red Red Orange Purple Orange Purple Orange Purple Red Purple Black Orange Black
Orange Purple Purple Orange Red Red Orange Purple Orange Purple Red Purple Black Orange Purple Black
Red Orange Purple Purple Red Orange Red Orange Purple Red Purple Black Purple Black Orange Black
Red Black Orange Purple Red Orange Orange Purple Red Purple Orange Orange Black Red Black Red
Red Red Purple Orange Red Purple Orange Red Purple Orange Purple Orange Black Black Purple Black
Black Red Red Purple Orange Purple Purple Purple Red Red Orange Black Orange Black Black Orange
Purple Orange Red Red Red Orange Purple Purple Orange Red Red Orange Black Orange Black Purple
Orange Black Orange Red Red Purple Orange Purple Purple Orange Black Red Black Red Purple Black
Black Orange Purple Red Red Red Black Orange Purple Purple Orange Black Orange Black Black Purple
Orange Purple Red Purple Red Red Red Black Orange Black Purple Orange Black Black Purple Black
Black Black Purple Black Red Black Red Red Black Orange Black Black Orange Red Black Black
```
assistant