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


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