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

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


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

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


Example 3
Input:
Green Green Green Black 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
Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black
Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black Black Black Black
Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black Black Black Black
Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black Black Black Black
Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black
Green Green Green Gray Gray Gray Pink Pink Pink Yellow Yellow Yellow Black Black Black
Green Green Green Gray Gray Gray Pink Pink Pink Yellow Yellow Yellow Black Black Black
Green Green Green Gray Gray Gray Pink Pink Pink Yellow Yellow Yellow Black Black Black

Output:
Green Green Green Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black
Green Green Green Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black
Green Green Green Blue Blue Blue Blue Blue Blue Green Green Green Black Black Black
Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Black Black Black
Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Black Black Black
Blue Blue Blue Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Black Black Black
Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Black Black Black
Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Black Black Black
Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Black Black Black
Green Green Green Gray Gray Gray Pink Pink Pink Yellow Yellow Yellow Black Black Black
Green Green Green Gray Gray Gray Pink Pink Pink Yellow Yellow Yellow Black Black Black
Green Green Green Gray Gray Gray Pink Pink Pink Yellow Yellow Yellow Black Black Black


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


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