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

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


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


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

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


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


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