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

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

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


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