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

Output:
Yellow Yellow Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray
Yellow Yellow Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray
Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow
Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow
Gray Gray Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow
Gray Gray Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow
Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray
Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray
Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray
Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray
Gray Gray Yellow Yellow Gray Gray Gray Gray Yellow Yellow Gray Gray Yellow Yellow Gray Gray Gray Gray Yellow Yellow
Gray Gray Yellow Yellow Gray Gray Gray Gray Yellow Yellow Gray Gray Yellow Yellow Gray Gray Gray Gray Yellow Yellow
Gray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow
Gray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow
Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray


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

Output:
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray


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

Output:
Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red
Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red
Gray Gray Gray Gray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray Gray Gray Red Red Gray Gray Gray Gray
Gray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray Gray Gray Red Red Gray Gray Gray Gray
Red Red Gray Gray Gray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray
Red Red Gray Gray Gray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Red Red Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Red Red Gray Gray
Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray
Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray Red Red Red Red
Gray Gray Gray Gray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray Red Red Red Red
Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray Gray Gray
Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray Gray Gray


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