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:
Yellow Yellow Pink Pink Black Black Purple Purple Black Black Orange Orange Green Green Black Black Black Black Orange Orange Black Black Black Black
Yellow Yellow Pink Pink Black Black Purple Purple Black Black Orange Orange Green Green Black Black Black Black Orange Orange Black Black Black Black
Orange Orange Blue Blue Black Black Yellow Yellow Black Black Black Black Black Black Orange Orange Black Black Black Black Purple Purple Black Black
Orange Orange Blue Blue Black Black Yellow Yellow Black Black Black Black Black Black Orange Orange Black Black Black Black Purple Purple Black Black
Black Black Black Black Black Black Orange Orange Yellow Yellow Black Black Orange Orange Black Black Pink Pink Black Black Black Black Purple Purple
Black Black Black Black Black Black Orange Orange Yellow Yellow Black Black Orange Orange Black Black Pink Pink Black Black Black Black Purple Purple
Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Red Red Black Black Black Black Black Black Purple Purple Orange Orange Black Black Orange Orange Black Black Black Black Gray Gray
Black Black Red Red Black Black Black Black Black Black Purple Purple Orange Orange Black Black Orange Orange Black Black Black Black Gray Gray
Black Black Black Black Yellow Yellow Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Yellow Yellow Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Pink Pink Black Black Black Black Orange Orange Black Black Brown Brown Black Black Black Black Black Black Orange Orange
Black Black Black Black Pink Pink Black Black Black Black Orange Orange Black Black Brown Brown Black Black Black Black Black Black Orange Orange
Yellow Yellow Red Red Pink Pink Black Black Pink Pink Red Red Black Black Black Black Black Black Black Black Black Black Black Black
Yellow Yellow Red Red Pink Pink Black Black Pink Pink Red Red Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Blue Blue Pink Pink Purple Purple Orange Orange Purple Purple Purple Purple Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Blue Blue Pink Pink Purple Purple Orange Orange Purple Purple Purple Purple Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Yellow Yellow Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Purple Purple
Purple Purple Yellow Yellow Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Pink Pink Purple Purple Purple Purple Orange Orange
Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Pink Pink Purple Purple Purple Purple Orange Orange
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Red Red Purple Purple Purple Purple Purple Purple Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green
Purple Purple Red Red Purple Purple Purple Purple Purple Purple Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green
Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Orange Orange Purple Purple Purple Purple Purple Purple Yellow Yellow Purple Purple
Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Orange Orange Purple Purple Purple Purple Purple Purple Yellow Yellow Purple Purple
Purple Purple Purple Purple Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple
Blue Blue Red Red Pink Pink Purple Purple Pink Pink Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Blue Blue Red Red Pink Pink Purple Purple Pink Pink Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


Example 2
Input:
Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Blue Blue Black Black
Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Blue Blue Black Black
Brown Brown Brown Brown Black Black Purple Purple Black Black Black Black Pink Pink Black Black Yellow Yellow Black Black
Brown Brown Brown Brown Black Black Purple Purple Black Black Black Black Pink Pink Black Black Yellow Yellow Black Black
Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Blue Blue Purple Purple
Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Blue Blue Purple Purple
Black Black Gray Gray Pink Pink Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Gray Gray Pink Pink Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black
Black Black Brown Brown Black Black Black Black Purple Purple Yellow Yellow Black Black Black Black Black Black Red Red
Black Black Brown Brown Black Black Black Black Purple Purple Yellow Yellow Black Black Black Black Black Black Red Red
Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Green Green Pink Pink Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black
Black Black Green Green Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Black Black Green Green Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black

Output:
Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple Yellow Yellow Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Green Green Purple Purple Purple Purple Purple Purple Yellow Yellow Purple Purple
Brown Brown Brown Brown Purple Purple Orange Orange Purple Purple Purple Purple Pink Pink Purple Purple Blue Blue Purple Purple
Brown Brown Brown Brown Purple Purple Orange Orange Purple Purple Purple Purple Pink Pink Purple Purple Blue Blue Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Purple Purple Purple Purple Purple Purple Yellow Yellow Orange Orange
Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Purple Purple Purple Purple Purple Purple Yellow Yellow Orange Orange
Purple Purple Green Green Pink Pink Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple
Purple Purple Green Green Pink Pink Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple
Purple Purple Brown Brown Purple Purple Purple Purple Orange Orange Blue Blue Purple Purple Purple Purple Purple Purple Red Red
Purple Purple Brown Brown Purple Purple Purple Purple Orange Orange Blue Blue Purple Purple Purple Purple Purple Purple Red Red
Purple Purple Gray Gray Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Purple Purple Purple Purple
Purple Purple Gray Gray Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Purple Purple Purple Purple
Purple Purple Gray Gray Pink Pink Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Gray Gray Pink Pink Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple


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

Output:
Purple Purple Red Red Purple Purple Yellow Yellow Pink Pink Green Green Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple
Purple Purple Red Red Purple Purple Yellow Yellow Pink Pink Green Green Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple
Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Orange Orange Purple Purple Purple Purple Green Green Purple Purple Purple Purple Green Green Purple Purple Purple Purple
Purple Purple Purple Purple Orange Orange Purple Purple Purple Purple Green Green Purple Purple Purple Purple Green Green Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple
Purple Purple Brown Brown Blue Blue Gray Gray Blue Blue Purple Purple Purple Purple Purple Purple Green Green Purple Purple Brown Brown
Purple Purple Brown Brown Blue Blue Gray Gray Blue Blue Purple Purple Purple Purple Purple Purple Green Green Purple Purple Brown Brown


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

```
Green Green Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Purple Purple Purple Purple
Green Green Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green Purple Purple Purple Purple
Purple Purple Purple Purple Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow
Purple Purple Purple Purple Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Purple Purple
Gray Gray Purple Purple Purple Purple Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown
Gray Gray Purple Purple Purple Purple Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown
Purple Purple Purple Purple Yellow Yellow Purple Purple Blue Blue Purple Purple Purple Purple Yellow Yellow Purple Purple
Purple Purple Purple Purple Yellow Yellow Purple Purple Blue Blue Purple Purple Purple Purple Yellow Yellow Purple Purple
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red
Purple Purple Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Blue Blue Green Green
Purple Purple Purple Purple Purple Purple Brown Brown Purple Purple Purple Purple Purple Purple Blue Blue Green Green
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red
Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red
Pink Pink Purple Purple Purple Purple Purple Purple Pink Pink Orange Orange Yellow Yellow Green Green Purple Purple
Pink Pink Purple Purple Purple Purple Purple Purple Pink Pink Orange Orange Yellow Yellow Green Green Purple Purple
```
assistant